TSTP Solution File: SWC242-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC242-1 : 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 : n003.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 18:39:50 EDT 2022

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  100 (  18 unt;   0 def)
%            Number of atoms       :  417 (  37 equ)
%            Maximal formula atoms :    7 (   4 avg)
%            Number of connectives :  625 ( 308   ~; 302   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  20 usr;  16 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-3 aty)
%            Number of variables   :   64 (  64   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f428,plain,
    $false,
    inference(avatar_sat_refutation,[],[f238,f243,f248,f258,f262,f266,f270,f274,f278,f282,f401,f406,f411,f416,f421,f427]) ).

fof(f427,plain,
    ( ~ spl0_8
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_19
    | spl0_20 ),
    inference(avatar_contradiction_clause,[],[f426]) ).

fof(f426,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_16
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_19
    | spl0_20 ),
    inference(subsumption_resolution,[],[f425,f400]) ).

fof(f400,plain,
    ( ssItem(sk5(sk8,sk7,sk6))
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f398]) ).

fof(f398,plain,
    ( spl0_16
  <=> ssItem(sk5(sk8,sk7,sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f425,plain,
    ( ~ ssItem(sk5(sk8,sk7,sk6))
    | ~ spl0_8
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_19
    | spl0_20 ),
    inference(subsumption_resolution,[],[f424,f405]) ).

fof(f405,plain,
    ( memberP(sk7,sk5(sk8,sk7,sk6))
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f403,plain,
    ( spl0_17
  <=> memberP(sk7,sk5(sk8,sk7,sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f424,plain,
    ( ~ memberP(sk7,sk5(sk8,sk7,sk6))
    | ~ ssItem(sk5(sk8,sk7,sk6))
    | ~ spl0_8
    | ~ spl0_18
    | ~ spl0_19
    | spl0_20 ),
    inference(subsumption_resolution,[],[f423,f415]) ).

fof(f415,plain,
    ( lt(sk6,sk5(sk8,sk7,sk6))
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f413,plain,
    ( spl0_19
  <=> lt(sk6,sk5(sk8,sk7,sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f423,plain,
    ( ~ lt(sk6,sk5(sk8,sk7,sk6))
    | ~ memberP(sk7,sk5(sk8,sk7,sk6))
    | ~ ssItem(sk5(sk8,sk7,sk6))
    | ~ spl0_8
    | ~ spl0_18
    | spl0_20 ),
    inference(subsumption_resolution,[],[f422,f420]) ).

fof(f420,plain,
    ( ~ leq(sk6,sk5(sk8,sk7,sk6))
    | spl0_20 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f418,plain,
    ( spl0_20
  <=> leq(sk6,sk5(sk8,sk7,sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f422,plain,
    ( leq(sk6,sk5(sk8,sk7,sk6))
    | ~ ssItem(sk5(sk8,sk7,sk6))
    | ~ memberP(sk7,sk5(sk8,sk7,sk6))
    | ~ lt(sk6,sk5(sk8,sk7,sk6))
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(resolution,[],[f410,f261]) ).

fof(f261,plain,
    ( ! [X6] :
        ( ~ memberP(sk8,X6)
        | ~ memberP(sk7,X6)
        | leq(sk6,X6)
        | ~ ssItem(X6)
        | ~ lt(sk6,X6) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl0_8
  <=> ! [X6] :
        ( leq(sk6,X6)
        | ~ memberP(sk8,X6)
        | ~ ssItem(X6)
        | ~ memberP(sk7,X6)
        | ~ lt(sk6,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f410,plain,
    ( memberP(sk8,sk5(sk8,sk7,sk6))
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f408,plain,
    ( spl0_18
  <=> memberP(sk8,sk5(sk8,sk7,sk6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f421,plain,
    ( ~ spl0_20
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f394,f280,f255,f245,f240,f235,f418]) ).

fof(f235,plain,
    ( spl0_3
  <=> ssList(sk8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f240,plain,
    ( spl0_4
  <=> ssItem(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f245,plain,
    ( spl0_5
  <=> ssList(sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f255,plain,
    ( spl0_7
  <=> sk3 = app(app(sk7,cons(sk6,nil)),sk8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f280,plain,
    ( spl0_13
  <=> ! [X6,X8,X7] :
        ( ~ ssItem(X6)
        | sk3 != app(app(X7,cons(X6,nil)),X8)
        | ~ ssList(X8)
        | ~ leq(X6,sk5(X8,X7,X6))
        | ~ ssList(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f394,plain,
    ( ~ leq(sk6,sk5(sk8,sk7,sk6))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f393,f242]) ).

fof(f242,plain,
    ( ssItem(sk6)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f393,plain,
    ( ~ leq(sk6,sk5(sk8,sk7,sk6))
    | ~ ssItem(sk6)
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f392,f247]) ).

fof(f247,plain,
    ( ssList(sk7)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f392,plain,
    ( ~ leq(sk6,sk5(sk8,sk7,sk6))
    | ~ ssList(sk7)
    | ~ ssItem(sk6)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f389,f237]) ).

fof(f237,plain,
    ( ssList(sk8)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f389,plain,
    ( ~ leq(sk6,sk5(sk8,sk7,sk6))
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | ~ ssItem(sk6)
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f386]) ).

fof(f386,plain,
    ( ~ ssList(sk7)
    | sk3 != sk3
    | ~ ssItem(sk6)
    | ~ leq(sk6,sk5(sk8,sk7,sk6))
    | ~ ssList(sk8)
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(superposition,[],[f281,f257]) ).

fof(f257,plain,
    ( sk3 = app(app(sk7,cons(sk6,nil)),sk8)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f281,plain,
    ( ! [X8,X6,X7] :
        ( sk3 != app(app(X7,cons(X6,nil)),X8)
        | ~ ssList(X8)
        | ~ ssItem(X6)
        | ~ ssList(X7)
        | ~ leq(X6,sk5(X8,X7,X6)) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f416,plain,
    ( spl0_19
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f378,f276,f255,f245,f240,f235,f413]) ).

fof(f276,plain,
    ( spl0_12
  <=> ! [X6,X8,X7] :
        ( sk3 != app(app(X7,cons(X6,nil)),X8)
        | ~ ssList(X8)
        | ~ ssItem(X6)
        | lt(X6,sk5(X8,X7,X6))
        | ~ ssList(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f378,plain,
    ( lt(sk6,sk5(sk8,sk7,sk6))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f377,f242]) ).

fof(f377,plain,
    ( ~ ssItem(sk6)
    | lt(sk6,sk5(sk8,sk7,sk6))
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f376,f247]) ).

fof(f376,plain,
    ( ~ ssList(sk7)
    | ~ ssItem(sk6)
    | lt(sk6,sk5(sk8,sk7,sk6))
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(subsumption_resolution,[],[f372,f237]) ).

fof(f372,plain,
    ( ~ ssList(sk8)
    | ~ ssList(sk7)
    | lt(sk6,sk5(sk8,sk7,sk6))
    | ~ ssItem(sk6)
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f370]) ).

fof(f370,plain,
    ( ~ ssList(sk7)
    | ~ ssItem(sk6)
    | lt(sk6,sk5(sk8,sk7,sk6))
    | sk3 != sk3
    | ~ ssList(sk8)
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f277,f257]) ).

fof(f277,plain,
    ( ! [X8,X6,X7] :
        ( sk3 != app(app(X7,cons(X6,nil)),X8)
        | ~ ssList(X8)
        | ~ ssList(X7)
        | lt(X6,sk5(X8,X7,X6))
        | ~ ssItem(X6) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f411,plain,
    ( spl0_18
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f363,f272,f255,f245,f240,f235,f408]) ).

fof(f272,plain,
    ( spl0_11
  <=> ! [X6,X7,X8] :
        ( ~ ssList(X7)
        | memberP(X8,sk5(X8,X7,X6))
        | ~ ssItem(X6)
        | sk3 != app(app(X7,cons(X6,nil)),X8)
        | ~ ssList(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f363,plain,
    ( memberP(sk8,sk5(sk8,sk7,sk6))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f362,f247]) ).

fof(f362,plain,
    ( ~ ssList(sk7)
    | memberP(sk8,sk5(sk8,sk7,sk6))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f361,f242]) ).

fof(f361,plain,
    ( memberP(sk8,sk5(sk8,sk7,sk6))
    | ~ ssItem(sk6)
    | ~ ssList(sk7)
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(subsumption_resolution,[],[f356,f237]) ).

fof(f356,plain,
    ( ~ ssList(sk8)
    | ~ ssList(sk7)
    | memberP(sk8,sk5(sk8,sk7,sk6))
    | ~ ssItem(sk6)
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f354]) ).

fof(f354,plain,
    ( sk3 != sk3
    | ~ ssList(sk7)
    | ~ ssItem(sk6)
    | ~ ssList(sk8)
    | memberP(sk8,sk5(sk8,sk7,sk6))
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(superposition,[],[f273,f257]) ).

fof(f273,plain,
    ( ! [X8,X6,X7] :
        ( sk3 != app(app(X7,cons(X6,nil)),X8)
        | memberP(X8,sk5(X8,X7,X6))
        | ~ ssList(X8)
        | ~ ssItem(X6)
        | ~ ssList(X7) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f406,plain,
    ( spl0_17
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f346,f268,f255,f245,f240,f235,f403]) ).

fof(f268,plain,
    ( spl0_10
  <=> ! [X6,X8,X7] :
        ( ~ ssItem(X6)
        | ~ ssList(X8)
        | memberP(X7,sk5(X8,X7,X6))
        | sk3 != app(app(X7,cons(X6,nil)),X8)
        | ~ ssList(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f346,plain,
    ( memberP(sk7,sk5(sk8,sk7,sk6))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f345,f242]) ).

fof(f345,plain,
    ( ~ ssItem(sk6)
    | memberP(sk7,sk5(sk8,sk7,sk6))
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f344,f237]) ).

fof(f344,plain,
    ( ~ ssList(sk8)
    | memberP(sk7,sk5(sk8,sk7,sk6))
    | ~ ssItem(sk6)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f340,f247]) ).

fof(f340,plain,
    ( ~ ssList(sk7)
    | memberP(sk7,sk5(sk8,sk7,sk6))
    | ~ ssList(sk8)
    | ~ ssItem(sk6)
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f338]) ).

fof(f338,plain,
    ( ~ ssItem(sk6)
    | ~ ssList(sk7)
    | memberP(sk7,sk5(sk8,sk7,sk6))
    | ~ ssList(sk8)
    | sk3 != sk3
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f269,f257]) ).

fof(f269,plain,
    ( ! [X8,X6,X7] :
        ( sk3 != app(app(X7,cons(X6,nil)),X8)
        | ~ ssList(X7)
        | memberP(X7,sk5(X8,X7,X6))
        | ~ ssItem(X6)
        | ~ ssList(X8) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f401,plain,
    ( spl0_16
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f329,f264,f255,f245,f240,f235,f398]) ).

fof(f264,plain,
    ( spl0_9
  <=> ! [X6,X7,X8] :
        ( ssItem(sk5(X8,X7,X6))
        | ~ ssItem(X6)
        | ~ ssList(X7)
        | sk3 != app(app(X7,cons(X6,nil)),X8)
        | ~ ssList(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f329,plain,
    ( ssItem(sk5(sk8,sk7,sk6))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f328,f237]) ).

fof(f328,plain,
    ( ssItem(sk5(sk8,sk7,sk6))
    | ~ ssList(sk8)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f327,f242]) ).

fof(f327,plain,
    ( ssItem(sk5(sk8,sk7,sk6))
    | ~ ssItem(sk6)
    | ~ ssList(sk8)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f325,f247]) ).

fof(f325,plain,
    ( ~ ssList(sk7)
    | ~ ssList(sk8)
    | ~ ssItem(sk6)
    | ssItem(sk5(sk8,sk7,sk6))
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f322]) ).

fof(f322,plain,
    ( ~ ssList(sk7)
    | sk3 != sk3
    | ~ ssItem(sk6)
    | ~ ssList(sk8)
    | ssItem(sk5(sk8,sk7,sk6))
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f265,f257]) ).

fof(f265,plain,
    ( ! [X8,X6,X7] :
        ( sk3 != app(app(X7,cons(X6,nil)),X8)
        | ~ ssList(X8)
        | ~ ssList(X7)
        | ~ ssItem(X6)
        | ssItem(sk5(X8,X7,X6)) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f282,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f209,f280]) ).

fof(f209,plain,
    ! [X8,X6,X7] :
      ( ~ ssItem(X6)
      | sk3 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ leq(X6,sk5(X8,X7,X6))
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f197,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f197,axiom,
    ! [X8,X6,X7] :
      ( ~ ssList(X8)
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ leq(X6,sk5(X8,X7,X6))
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f278,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f207,f276]) ).

fof(f207,plain,
    ! [X8,X6,X7] :
      ( sk3 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssItem(X6)
      | lt(X6,sk5(X8,X7,X6))
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f196,f191]) ).

fof(f196,axiom,
    ! [X8,X6,X7] :
      ( ~ ssList(X8)
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssItem(X6)
      | lt(X6,sk5(X8,X7,X6))
      | ~ ssList(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f274,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f205,f272]) ).

fof(f205,plain,
    ! [X8,X6,X7] :
      ( ~ ssList(X7)
      | memberP(X8,sk5(X8,X7,X6))
      | ~ ssItem(X6)
      | sk3 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8) ),
    inference(definition_unfolding,[],[f195,f191]) ).

fof(f195,axiom,
    ! [X8,X6,X7] :
      ( memberP(X8,sk5(X8,X7,X6))
      | ~ ssList(X8)
      | ~ ssItem(X6)
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f270,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f203,f268]) ).

fof(f203,plain,
    ! [X8,X6,X7] :
      ( ~ ssItem(X6)
      | ~ ssList(X8)
      | memberP(X7,sk5(X8,X7,X6))
      | sk3 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X7) ),
    inference(definition_unfolding,[],[f194,f191]) ).

fof(f194,axiom,
    ! [X8,X6,X7] :
      ( sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | memberP(X7,sk5(X8,X7,X6))
      | ~ ssItem(X6)
      | ~ ssList(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f266,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f206,f264]) ).

fof(f206,plain,
    ! [X8,X6,X7] :
      ( ssItem(sk5(X8,X7,X6))
      | ~ ssItem(X6)
      | ~ ssList(X7)
      | sk3 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8) ),
    inference(definition_unfolding,[],[f193,f191]) ).

fof(f193,axiom,
    ! [X8,X6,X7] :
      ( ssItem(sk5(X8,X7,X6))
      | ~ ssList(X8)
      | ~ ssItem(X6)
      | sk1 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f262,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f221,f260]) ).

fof(f221,plain,
    ! [X6] :
      ( leq(sk6,X6)
      | ~ memberP(sk8,X6)
      | ~ ssItem(X6)
      | ~ memberP(sk7,X6)
      | ~ lt(sk6,X6) ),
    inference(subsumption_resolution,[],[f202,f204]) ).

fof(f204,plain,
    nil != sk3,
    inference(definition_unfolding,[],[f192,f191]) ).

fof(f192,axiom,
    nil != sk1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f202,axiom,
    ! [X6] :
      ( ~ lt(sk6,X6)
      | ~ ssItem(X6)
      | nil = sk3
      | ~ memberP(sk7,X6)
      | leq(sk6,X6)
      | ~ memberP(sk8,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

fof(f258,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f222,f255]) ).

fof(f222,plain,
    sk3 = app(app(sk7,cons(sk6,nil)),sk8),
    inference(subsumption_resolution,[],[f201,f204]) ).

fof(f201,axiom,
    ( sk3 = app(app(sk7,cons(sk6,nil)),sk8)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

fof(f248,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f223,f245]) ).

fof(f223,plain,
    ssList(sk7),
    inference(subsumption_resolution,[],[f199,f204]) ).

fof(f199,axiom,
    ( nil = sk3
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f243,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f220,f240]) ).

fof(f220,plain,
    ssItem(sk6),
    inference(subsumption_resolution,[],[f198,f204]) ).

fof(f198,axiom,
    ( ssItem(sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f238,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f219,f235]) ).

fof(f219,plain,
    ssList(sk8),
    inference(subsumption_resolution,[],[f200,f204]) ).

fof(f200,axiom,
    ( nil = sk3
    | ssList(sk8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC242-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 18:38:07 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (20005)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.48  % (19989)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.50  % (19982)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.50  % (19989)Instruction limit reached!
% 0.20/0.50  % (19989)------------------------------
% 0.20/0.50  % (19989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (19980)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.51  % (19989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (19989)Termination reason: Unknown
% 0.20/0.51  % (19989)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (19989)Memory used [KB]: 6268
% 0.20/0.51  % (19989)Time elapsed: 0.089 s
% 0.20/0.51  % (19989)Instructions burned: 24 (million)
% 0.20/0.51  % (19989)------------------------------
% 0.20/0.51  % (19989)------------------------------
% 0.20/0.52  % (19981)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.52  % (19992)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.52  % (19979)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.52  % (19990)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.52  % (19996)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.53  % (19984)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53  % (19997)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (20003)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.53  % (20001)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53  % (19997)Instruction limit reached!
% 0.20/0.53  % (19997)------------------------------
% 0.20/0.53  % (19997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (19997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (19997)Termination reason: Unknown
% 0.20/0.53  % (19997)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (19997)Memory used [KB]: 1535
% 0.20/0.53  % (19997)Time elapsed: 0.006 s
% 0.20/0.53  % (19997)Instructions burned: 7 (million)
% 0.20/0.53  % (19997)------------------------------
% 0.20/0.53  % (19997)------------------------------
% 0.20/0.53  % (19978)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53  % (19994)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (19994)Instruction limit reached!
% 0.20/0.53  % (19994)------------------------------
% 0.20/0.53  % (19994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (19994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (19994)Termination reason: Unknown
% 0.20/0.53  % (19994)Termination phase: Function definition elimination
% 0.20/0.53  
% 0.20/0.53  % (19994)Memory used [KB]: 1407
% 0.20/0.53  % (19994)Time elapsed: 0.002 s
% 0.20/0.53  % (19994)Instructions burned: 2 (million)
% 0.20/0.53  % (19994)------------------------------
% 0.20/0.53  % (19994)------------------------------
% 0.20/0.53  % (20006)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.53  % (19995)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53  % (20004)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.53  % (19988)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53  % (19991)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (19985)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (19988)Instruction limit reached!
% 0.20/0.53  % (19988)------------------------------
% 0.20/0.53  % (19988)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (19988)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (19988)Termination reason: Unknown
% 0.20/0.53  % (19988)Termination phase: Property scanning
% 0.20/0.53  
% 0.20/0.53  % (19988)Memory used [KB]: 1535
% 0.20/0.53  % (19988)Time elapsed: 0.004 s
% 0.20/0.53  % (19988)Instructions burned: 6 (million)
% 0.20/0.53  % (19988)------------------------------
% 0.20/0.53  % (19988)------------------------------
% 0.20/0.54  % (19986)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54  % (19991)Instruction limit reached!
% 0.20/0.54  % (19991)------------------------------
% 0.20/0.54  % (19991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (19991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (19991)Termination reason: Unknown
% 0.20/0.54  % (19991)Termination phase: Equality resolution with deletion
% 0.20/0.54  
% 0.20/0.54  % (19991)Memory used [KB]: 1535
% 0.20/0.54  % (19991)Time elapsed: 0.004 s
% 0.20/0.54  % (19991)Instructions burned: 4 (million)
% 0.20/0.54  % (19991)------------------------------
% 0.20/0.54  % (19991)------------------------------
% 0.20/0.54  % (19993)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.54  % (19983)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54  % (19980)Instruction limit reached!
% 0.20/0.54  % (19980)------------------------------
% 0.20/0.54  % (19980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (19980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (19980)Termination reason: Unknown
% 0.20/0.54  % (19980)Termination phase: Property scanning
% 0.20/0.54  
% 0.20/0.54  % (19980)Memory used [KB]: 1535
% 0.20/0.54  % (19980)Time elapsed: 0.005 s
% 0.20/0.54  % (19980)Instructions burned: 5 (million)
% 0.20/0.54  % (19980)------------------------------
% 0.20/0.54  % (19980)------------------------------
% 0.20/0.54  % (20000)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=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.54  % (19986)Instruction limit reached!
% 0.20/0.54  % (19986)------------------------------
% 0.20/0.54  % (19986)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (19986)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (19986)Termination reason: Unknown
% 0.20/0.54  % (19986)Termination phase: Property scanning
% 0.20/0.54  
% 0.20/0.54  % (19986)Memory used [KB]: 1535
% 0.20/0.54  % (19986)Time elapsed: 0.003 s
% 0.20/0.54  % (19986)Instructions burned: 5 (million)
% 0.20/0.54  % (19986)------------------------------
% 0.20/0.54  % (19986)------------------------------
% 0.20/0.54  % (19998)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.54  % (19993)Instruction limit reached!
% 0.20/0.54  % (19993)------------------------------
% 0.20/0.54  % (19993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (19993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (19993)Termination reason: Unknown
% 0.20/0.54  % (19993)Termination phase: Finite model building preprocessing
% 0.20/0.54  
% 0.20/0.54  % (19993)Memory used [KB]: 1535
% 0.20/0.54  % (19993)Time elapsed: 0.006 s
% 0.20/0.54  % (19993)Instructions burned: 8 (million)
% 0.20/0.54  % (19993)------------------------------
% 0.20/0.54  % (19993)------------------------------
% 0.20/0.54  % (19987)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (19998)Instruction limit reached!
% 0.20/0.54  % (19998)------------------------------
% 0.20/0.54  % (19998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (19998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (19998)Termination reason: Unknown
% 0.20/0.54  % (19998)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (19998)Memory used [KB]: 1535
% 0.20/0.54  % (19998)Time elapsed: 0.005 s
% 0.20/0.54  % (19998)Instructions burned: 7 (million)
% 0.20/0.54  % (19998)------------------------------
% 0.20/0.54  % (19998)------------------------------
% 0.20/0.54  % (19990)Instruction limit reached!
% 0.20/0.54  % (19990)------------------------------
% 0.20/0.54  % (19990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (19990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (19990)Termination reason: Unknown
% 0.20/0.54  % (19990)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (19990)Memory used [KB]: 6012
% 0.20/0.54  % (19990)Time elapsed: 0.004 s
% 0.20/0.54  % (19990)Instructions burned: 6 (million)
% 0.20/0.54  % (19990)------------------------------
% 0.20/0.54  % (19990)------------------------------
% 0.20/0.54  % (20002)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.55  % (20007)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55  % (20003)First to succeed.
% 0.20/0.55  % (20003)Refutation found. Thanks to Tanya!
% 0.20/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55  % (20003)------------------------------
% 0.20/0.55  % (20003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (20003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (20003)Termination reason: Refutation
% 0.20/0.55  
% 0.20/0.55  % (20003)Memory used [KB]: 6140
% 0.20/0.55  % (20003)Time elapsed: 0.154 s
% 0.20/0.55  % (20003)Instructions burned: 12 (million)
% 0.20/0.55  % (20003)------------------------------
% 0.20/0.55  % (20003)------------------------------
% 0.20/0.55  % (19977)Success in time 0.196 s
%------------------------------------------------------------------------------