TSTP Solution File: SWC412-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC412-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 : Tue May 21 04:38:48 EDT 2024

% Result   : Unsatisfiable 0.57s 0.77s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  110 (   3 unt;   0 def)
%            Number of atoms       :  324 (  72 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  373 ( 159   ~; 203   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   15 (  13 usr;  12 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :   54 (  54   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f399,plain,
    $false,
    inference(avatar_sat_refutation,[],[f275,f300,f305,f310,f315,f320,f325,f330,f335,f340,f345,f346,f347,f348,f349,f362,f363,f364,f365,f366,f367,f368,f369,f370,f371,f372,f373,f374,f375,f376,f386,f398]) ).

fof(f398,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f397]) ).

fof(f397,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f396,f334]) ).

fof(f334,plain,
    ( ssList(sk7)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f332,plain,
    ( spl0_14
  <=> ssList(sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f396,plain,
    ( ~ ssList(sk7)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f395,f329]) ).

fof(f329,plain,
    ( ssItem(sk6)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f327,plain,
    ( spl0_13
  <=> ssItem(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f395,plain,
    ( ~ ssItem(sk6)
    | ~ ssList(sk7)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(subsumption_resolution,[],[f389,f324]) ).

fof(f324,plain,
    ( ssItem(sk5)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f322,plain,
    ( spl0_12
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f389,plain,
    ( ~ ssItem(sk5)
    | ~ ssItem(sk6)
    | ~ ssList(sk7)
    | ~ spl0_1
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f388]) ).

fof(f388,plain,
    ( sk4 != sk4
    | ~ ssItem(sk5)
    | ~ ssItem(sk6)
    | ~ ssList(sk7)
    | ~ spl0_1
    | ~ spl0_15 ),
    inference(superposition,[],[f271,f339]) ).

fof(f339,plain,
    ( sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f337,plain,
    ( spl0_15
  <=> sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f271,plain,
    ( ! [X8,X6,X7] :
        ( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
        | ~ ssItem(X6)
        | ~ ssItem(X7)
        | ~ ssList(X8) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f270,plain,
    ( spl0_1
  <=> ! [X6,X8,X7] :
        ( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
        | ~ ssItem(X6)
        | ~ ssItem(X7)
        | ~ ssList(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f386,plain,
    ( ~ spl0_9
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f385,f317,f312,f302,f297,f273,f307]) ).

fof(f307,plain,
    ( spl0_9
  <=> ssList(sk13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f273,plain,
    ( spl0_2
  <=> ! [X9,X11,X10] :
        ( sk4 != app(app(cons(X9,nil),X11),cons(X10,nil))
        | ~ ssItem(X9)
        | ~ ssItem(X10)
        | ~ ssList(X11)
        | sk3 = app(app(cons(X10,nil),X11),cons(X9,nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f297,plain,
    ( spl0_7
  <=> ssItem(sk11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f302,plain,
    ( spl0_8
  <=> ssItem(sk12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f312,plain,
    ( spl0_10
  <=> sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f317,plain,
    ( spl0_11
  <=> sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f385,plain,
    ( ~ ssList(sk13)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | spl0_11 ),
    inference(subsumption_resolution,[],[f381,f319]) ).

fof(f319,plain,
    ( sk3 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
    | spl0_11 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f381,plain,
    ( ~ ssList(sk13)
    | sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f380,f304]) ).

fof(f304,plain,
    ( ssItem(sk12)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f380,plain,
    ( ~ ssItem(sk12)
    | ~ ssList(sk13)
    | sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f379,f299]) ).

fof(f299,plain,
    ( ssItem(sk11)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f379,plain,
    ( ~ ssItem(sk11)
    | ~ ssItem(sk12)
    | ~ ssList(sk13)
    | sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f378]) ).

fof(f378,plain,
    ( sk4 != sk4
    | ~ ssItem(sk11)
    | ~ ssItem(sk12)
    | ~ ssList(sk13)
    | sk3 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f274,f314]) ).

fof(f314,plain,
    ( sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f274,plain,
    ( ! [X10,X11,X9] :
        ( sk4 != app(app(cons(X9,nil),X11),cons(X10,nil))
        | ~ ssItem(X9)
        | ~ ssItem(X10)
        | ~ ssList(X11)
        | sk3 = app(app(cons(X10,nil),X11),cons(X9,nil)) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f273]) ).

fof(f376,plain,
    ( spl0_15
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f265,f317,f337]) ).

fof(f265,plain,
    ( sk3 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
    | sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
    inference(definition_unfolding,[],[f241,f191,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

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

fof(f241,axiom,
    ( sk1 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
    | sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_56) ).

fof(f375,plain,
    ( spl0_15
    | spl0_10 ),
    inference(avatar_split_clause,[],[f264,f312,f337]) ).

fof(f264,plain,
    ( sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
    | sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
    inference(definition_unfolding,[],[f240,f190,f190]) ).

fof(f240,axiom,
    ( sk2 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
    | sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_55) ).

fof(f374,plain,
    ( spl0_15
    | spl0_9 ),
    inference(avatar_split_clause,[],[f263,f307,f337]) ).

fof(f263,plain,
    ( ssList(sk13)
    | sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
    inference(definition_unfolding,[],[f239,f190]) ).

fof(f239,axiom,
    ( ssList(sk13)
    | sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_54) ).

fof(f373,plain,
    ( spl0_15
    | spl0_8 ),
    inference(avatar_split_clause,[],[f262,f302,f337]) ).

fof(f262,plain,
    ( ssItem(sk12)
    | sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
    inference(definition_unfolding,[],[f238,f190]) ).

fof(f238,axiom,
    ( ssItem(sk12)
    | sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_53) ).

fof(f372,plain,
    ( spl0_14
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f261,f317,f332]) ).

fof(f261,plain,
    ( sk3 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
    | ssList(sk7) ),
    inference(definition_unfolding,[],[f237,f191]) ).

fof(f237,axiom,
    ( sk1 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_52) ).

fof(f371,plain,
    ( spl0_14
    | spl0_10 ),
    inference(avatar_split_clause,[],[f260,f312,f332]) ).

fof(f260,plain,
    ( sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
    | ssList(sk7) ),
    inference(definition_unfolding,[],[f236,f190]) ).

fof(f236,axiom,
    ( sk2 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_51) ).

fof(f370,plain,
    ( spl0_14
    | spl0_9 ),
    inference(avatar_split_clause,[],[f235,f307,f332]) ).

fof(f235,axiom,
    ( ssList(sk13)
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_50) ).

fof(f369,plain,
    ( spl0_14
    | spl0_8 ),
    inference(avatar_split_clause,[],[f234,f302,f332]) ).

fof(f234,axiom,
    ( ssItem(sk12)
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_49) ).

fof(f368,plain,
    ( spl0_15
    | spl0_7 ),
    inference(avatar_split_clause,[],[f259,f297,f337]) ).

fof(f259,plain,
    ( ssItem(sk11)
    | sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
    inference(definition_unfolding,[],[f233,f190]) ).

fof(f233,axiom,
    ( ssItem(sk11)
    | sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_48) ).

fof(f367,plain,
    ( spl0_14
    | spl0_7 ),
    inference(avatar_split_clause,[],[f232,f297,f332]) ).

fof(f232,axiom,
    ( ssItem(sk11)
    | ssList(sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_47) ).

fof(f366,plain,
    ( spl0_13
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f258,f317,f327]) ).

fof(f258,plain,
    ( sk3 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
    | ssItem(sk6) ),
    inference(definition_unfolding,[],[f231,f191]) ).

fof(f231,axiom,
    ( sk1 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
    | ssItem(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_46) ).

fof(f365,plain,
    ( spl0_13
    | spl0_10 ),
    inference(avatar_split_clause,[],[f257,f312,f327]) ).

fof(f257,plain,
    ( sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
    | ssItem(sk6) ),
    inference(definition_unfolding,[],[f230,f190]) ).

fof(f230,axiom,
    ( sk2 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
    | ssItem(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_45) ).

fof(f364,plain,
    ( spl0_13
    | spl0_9 ),
    inference(avatar_split_clause,[],[f229,f307,f327]) ).

fof(f229,axiom,
    ( ssList(sk13)
    | ssItem(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_44) ).

fof(f363,plain,
    ( spl0_13
    | spl0_8 ),
    inference(avatar_split_clause,[],[f228,f302,f327]) ).

fof(f228,axiom,
    ( ssItem(sk12)
    | ssItem(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_43) ).

fof(f362,plain,
    ( spl0_13
    | spl0_7 ),
    inference(avatar_split_clause,[],[f227,f297,f327]) ).

fof(f227,axiom,
    ( ssItem(sk11)
    | ssItem(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_42) ).

fof(f349,plain,
    ( spl0_12
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f250,f317,f322]) ).

fof(f250,plain,
    ( sk3 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
    | ssItem(sk5) ),
    inference(definition_unfolding,[],[f214,f191]) ).

fof(f214,axiom,
    ( sk1 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_29) ).

fof(f348,plain,
    ( spl0_12
    | spl0_10 ),
    inference(avatar_split_clause,[],[f249,f312,f322]) ).

fof(f249,plain,
    ( sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
    | ssItem(sk5) ),
    inference(definition_unfolding,[],[f213,f190]) ).

fof(f213,axiom,
    ( sk2 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_28) ).

fof(f347,plain,
    ( spl0_12
    | spl0_9 ),
    inference(avatar_split_clause,[],[f212,f307,f322]) ).

fof(f212,axiom,
    ( ssList(sk13)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_27) ).

fof(f346,plain,
    ( spl0_12
    | spl0_8 ),
    inference(avatar_split_clause,[],[f211,f302,f322]) ).

fof(f211,axiom,
    ( ssItem(sk12)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_26) ).

fof(f345,plain,
    ( spl0_12
    | spl0_7 ),
    inference(avatar_split_clause,[],[f210,f297,f322]) ).

fof(f210,axiom,
    ( ssItem(sk11)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_25) ).

fof(f340,plain,
    ( spl0_15
    | spl0_2 ),
    inference(avatar_split_clause,[],[f247,f273,f337]) ).

fof(f247,plain,
    ! [X8,X6,X7] :
      ( sk4 != app(app(cons(X6,nil),X8),cons(X7,nil))
      | sk3 = app(app(cons(X7,nil),X8),cons(X6,nil))
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
    inference(definition_unfolding,[],[f205,f190]) ).

fof(f205,axiom,
    ! [X8,X6,X7] :
      ( sk4 != app(app(cons(X6,nil),X8),cons(X7,nil))
      | sk3 = app(app(cons(X7,nil),X8),cons(X6,nil))
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).

fof(f335,plain,
    ( spl0_14
    | spl0_2 ),
    inference(avatar_split_clause,[],[f204,f273,f332]) ).

fof(f204,axiom,
    ! [X8,X6,X7] :
      ( sk4 != app(app(cons(X6,nil),X8),cons(X7,nil))
      | sk3 = app(app(cons(X7,nil),X8),cons(X6,nil))
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ssList(sk7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).

fof(f330,plain,
    ( spl0_13
    | spl0_2 ),
    inference(avatar_split_clause,[],[f203,f273,f327]) ).

fof(f203,axiom,
    ! [X8,X6,X7] :
      ( sk4 != app(app(cons(X6,nil),X8),cons(X7,nil))
      | sk3 = app(app(cons(X7,nil),X8),cons(X6,nil))
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ssItem(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

fof(f325,plain,
    ( spl0_12
    | spl0_2 ),
    inference(avatar_split_clause,[],[f202,f273,f322]) ).

fof(f202,axiom,
    ! [X8,X6,X7] :
      ( sk4 != app(app(cons(X6,nil),X8),cons(X7,nil))
      | sk3 = app(app(cons(X7,nil),X8),cons(X6,nil))
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6)
      | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

fof(f320,plain,
    ( spl0_1
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f246,f317,f270]) ).

fof(f246,plain,
    ! [X8,X6,X7] :
      ( sk3 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
      | sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f201,f191]) ).

fof(f201,axiom,
    ! [X8,X6,X7] :
      ( sk1 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
      | sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

fof(f315,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_split_clause,[],[f245,f312,f270]) ).

fof(f245,plain,
    ! [X8,X6,X7] :
      ( sk4 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
      | sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f200,f190]) ).

fof(f200,axiom,
    ! [X8,X6,X7] :
      ( sk2 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
      | sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

fof(f310,plain,
    ( spl0_1
    | spl0_9 ),
    inference(avatar_split_clause,[],[f199,f307,f270]) ).

fof(f199,axiom,
    ! [X8,X6,X7] :
      ( ssList(sk13)
      | sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f305,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_split_clause,[],[f198,f302,f270]) ).

fof(f198,axiom,
    ! [X8,X6,X7] :
      ( ssItem(sk12)
      | sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f300,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f197,f297,f270]) ).

fof(f197,axiom,
    ! [X8,X6,X7] :
      ( ssItem(sk11)
      | sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f275,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f192,f273,f270]) ).

fof(f192,axiom,
    ! [X10,X11,X8,X6,X9,X7] :
      ( sk4 != app(app(cons(X9,nil),X11),cons(X10,nil))
      | sk3 = app(app(cons(X10,nil),X11),cons(X9,nil))
      | ~ ssList(X11)
      | ~ ssItem(X10)
      | ~ ssItem(X9)
      | sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
      | ~ ssList(X8)
      | ~ ssItem(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SWC412-1 : TPTP v8.2.0. Released v2.4.0.
% 0.00/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.30  % Computer : n007.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Sun May 19 03:40:08 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.10/0.30  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.57/0.75  % (12386)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.57/0.75  % (12390)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.57/0.75  % (12388)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.57/0.75  % (12387)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.57/0.75  % (12389)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.57/0.76  % (12388)First to succeed.
% 0.57/0.76  % (12387)Also succeeded, but the first one will report.
% 0.57/0.76  % (12393)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.57/0.77  % (12388)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12376"
% 0.57/0.77  % (12391)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.57/0.77  % (12388)Refutation found. Thanks to Tanya!
% 0.57/0.77  % SZS status Unsatisfiable for theBenchmark
% 0.57/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.77  % (12388)------------------------------
% 0.57/0.77  % (12388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (12388)Termination reason: Refutation
% 0.57/0.77  
% 0.57/0.77  % (12388)Memory used [KB]: 1294
% 0.57/0.77  % (12388)Time elapsed: 0.008 s
% 0.57/0.77  % (12388)Instructions burned: 11 (million)
% 0.57/0.77  % (12376)Success in time 0.464 s
% 0.57/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------