TSTP Solution File: SWC395-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC395-1 : TPTP v8.1.2. 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 : n029.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 : Sun May  5 09:50:49 EDT 2024

% Result   : Unsatisfiable 0.70s 0.84s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  119 (  17 unt;   0 def)
%            Number of atoms       :  417 (  54 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  539 ( 241   ~; 286   |;   0   &)
%                                         (  12 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  13 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :   47 (  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1354,plain,
    $false,
    inference(avatar_sat_refutation,[],[f229,f258,f268,f272,f285,f292,f304,f307,f333,f338,f1308,f1313,f1353]) ).

fof(f1353,plain,
    ( spl4_2
    | ~ spl4_5
    | ~ spl4_7
    | ~ spl4_10
    | ~ spl4_36 ),
    inference(avatar_contradiction_clause,[],[f1352]) ).

fof(f1352,plain,
    ( $false
    | spl4_2
    | ~ spl4_5
    | ~ spl4_7
    | ~ spl4_10
    | ~ spl4_36 ),
    inference(subsumption_resolution,[],[f1342,f200]) ).

fof(f200,plain,
    ~ memberP(sk4,sk5),
    inference(definition_unfolding,[],[f194,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',co1_5) ).

fof(f194,axiom,
    ~ memberP(sk2,sk5),
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',co1_9) ).

fof(f1342,plain,
    ( memberP(sk4,sk5)
    | spl4_2
    | ~ spl4_5
    | ~ spl4_7
    | ~ spl4_10
    | ~ spl4_36 ),
    inference(superposition,[],[f381,f1337]) ).

fof(f1337,plain,
    ( sk5 = sF0
    | ~ spl4_7
    | ~ spl4_10
    | ~ spl4_36 ),
    inference(subsumption_resolution,[],[f1335,f192]) ).

fof(f192,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',co1_7) ).

fof(f1335,plain,
    ( ~ ssItem(sk5)
    | sk5 = sF0
    | ~ spl4_7
    | ~ spl4_10
    | ~ spl4_36 ),
    inference(resolution,[],[f1307,f1003]) ).

fof(f1003,plain,
    ( ! [X0] :
        ( ~ memberP(sF1,X0)
        | ~ ssItem(X0)
        | sF0 = X0 )
    | ~ spl4_7
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f1002,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',clause71) ).

fof(f1002,plain,
    ( ! [X0] :
        ( ~ memberP(sF1,X0)
        | memberP(nil,X0)
        | ~ ssItem(X0)
        | sF0 = X0 )
    | ~ spl4_7
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f1001,f261]) ).

fof(f261,plain,
    ( ssList(nil)
    | ~ spl4_10 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl4_10
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

fof(f1001,plain,
    ( ! [X0] :
        ( ~ memberP(sF1,X0)
        | memberP(nil,X0)
        | ~ ssItem(X0)
        | ~ ssList(nil)
        | sF0 = X0 )
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f994,f248]) ).

fof(f248,plain,
    ( ssItem(sF0)
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f247,plain,
    ( spl4_7
  <=> ssItem(sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f994,plain,
    ! [X0] :
      ( ~ memberP(sF1,X0)
      | memberP(nil,X0)
      | ~ ssItem(X0)
      | ~ ssItem(sF0)
      | ~ ssList(nil)
      | sF0 = X0 ),
    inference(superposition,[],[f161,f212]) ).

fof(f212,plain,
    cons(sF0,nil) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f161,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X0,X1),X2)
      | memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | X0 = X2 ),
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',clause161) ).

fof(f1307,plain,
    ( memberP(sF1,sk5)
    | ~ spl4_36 ),
    inference(avatar_component_clause,[],[f1305]) ).

fof(f1305,plain,
    ( spl4_36
  <=> memberP(sF1,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).

fof(f381,plain,
    ( memberP(sk4,sF0)
    | spl4_2
    | ~ spl4_5
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f380,f240]) ).

fof(f240,plain,
    ( ssList(sF2)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f239,plain,
    ( spl4_5
  <=> ssList(sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f380,plain,
    ( memberP(sk4,sF0)
    | ~ ssList(sF2)
    | spl4_2
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f376,f248]) ).

fof(f376,plain,
    ( memberP(sk4,sF0)
    | ~ ssItem(sF0)
    | ~ ssList(sF2)
    | spl4_2 ),
    inference(superposition,[],[f219,f356]) ).

fof(f356,plain,
    ( sk4 = cons(sF0,sF2)
    | spl4_2 ),
    inference(forward_demodulation,[],[f355,f213]) ).

fof(f213,plain,
    tl(sk4) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f355,plain,
    ( sk4 = cons(sF0,tl(sk4))
    | spl4_2 ),
    inference(subsumption_resolution,[],[f354,f198]) ).

fof(f198,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',co1_2) ).

fof(f354,plain,
    ( sk4 = cons(sF0,tl(sk4))
    | ~ ssList(sk4)
    | spl4_2 ),
    inference(subsumption_resolution,[],[f344,f228]) ).

fof(f228,plain,
    ( nil != sk4
    | spl4_2 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f226,plain,
    ( spl4_2
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f344,plain,
    ( sk4 = cons(sF0,tl(sk4))
    | nil = sk4
    | ~ ssList(sk4) ),
    inference(superposition,[],[f104,f211]) ).

fof(f211,plain,
    hd(sk4) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f104,axiom,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',clause104) ).

fof(f219,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f206]) ).

fof(f206,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssItem(X1)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f138]) ).

fof(f138,axiom,
    ! [X2,X0,X1] :
      ( memberP(cons(X1,X2),X0)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | X0 != X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',clause138) ).

fof(f1313,plain,
    ( spl4_2
    | ~ spl4_5
    | ~ spl4_7
    | ~ spl4_35 ),
    inference(avatar_contradiction_clause,[],[f1312]) ).

fof(f1312,plain,
    ( $false
    | spl4_2
    | ~ spl4_5
    | ~ spl4_7
    | ~ spl4_35 ),
    inference(subsumption_resolution,[],[f1311,f200]) ).

fof(f1311,plain,
    ( memberP(sk4,sk5)
    | spl4_2
    | ~ spl4_5
    | ~ spl4_7
    | ~ spl4_35 ),
    inference(subsumption_resolution,[],[f1309,f192]) ).

fof(f1309,plain,
    ( ~ ssItem(sk5)
    | memberP(sk4,sk5)
    | spl4_2
    | ~ spl4_5
    | ~ spl4_7
    | ~ spl4_35 ),
    inference(resolution,[],[f1303,f482]) ).

fof(f482,plain,
    ( ! [X0] :
        ( ~ memberP(sF2,X0)
        | ~ ssItem(X0)
        | memberP(sk4,X0) )
    | spl4_2
    | ~ spl4_5
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f481,f240]) ).

fof(f481,plain,
    ( ! [X0] :
        ( memberP(sk4,X0)
        | ~ ssItem(X0)
        | ~ ssList(sF2)
        | ~ memberP(sF2,X0) )
    | spl4_2
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f479,f248]) ).

fof(f479,plain,
    ( ! [X0] :
        ( memberP(sk4,X0)
        | ~ ssItem(X0)
        | ~ ssItem(sF0)
        | ~ ssList(sF2)
        | ~ memberP(sF2,X0) )
    | spl4_2 ),
    inference(superposition,[],[f139,f356]) ).

fof(f139,axiom,
    ! [X2,X0,X1] :
      ( memberP(cons(X2,X0),X1)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',clause139) ).

fof(f1303,plain,
    ( memberP(sF2,sk5)
    | ~ spl4_35 ),
    inference(avatar_component_clause,[],[f1301]) ).

fof(f1301,plain,
    ( spl4_35
  <=> memberP(sF2,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).

fof(f1308,plain,
    ( spl4_35
    | spl4_36
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(avatar_split_clause,[],[f1299,f243,f239,f235,f1305,f1301]) ).

fof(f235,plain,
    ( spl4_4
  <=> sk3 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f243,plain,
    ( spl4_6
  <=> ssList(sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f1299,plain,
    ( memberP(sF1,sk5)
    | memberP(sF2,sk5)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(subsumption_resolution,[],[f1294,f192]) ).

fof(f1294,plain,
    ( memberP(sF1,sk5)
    | ~ ssItem(sk5)
    | memberP(sF2,sk5)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(resolution,[],[f926,f199]) ).

fof(f199,plain,
    memberP(sk3,sk5),
    inference(definition_unfolding,[],[f193,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',co1_6) ).

fof(f193,axiom,
    memberP(sk1,sk5),
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',co1_8) ).

fof(f926,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | memberP(sF1,X0)
        | ~ ssItem(X0)
        | memberP(sF2,X0) )
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(forward_demodulation,[],[f925,f237]) ).

fof(f237,plain,
    ( sk3 = sF3
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f925,plain,
    ( ! [X0] :
        ( ~ memberP(sF3,X0)
        | memberP(sF1,X0)
        | ~ ssItem(X0)
        | memberP(sF2,X0) )
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(subsumption_resolution,[],[f924,f244]) ).

fof(f244,plain,
    ( ssList(sF1)
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f924,plain,
    ( ! [X0] :
        ( ~ memberP(sF3,X0)
        | memberP(sF1,X0)
        | ~ ssItem(X0)
        | ~ ssList(sF1)
        | memberP(sF2,X0) )
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f907,f240]) ).

fof(f907,plain,
    ! [X0] :
      ( ~ memberP(sF3,X0)
      | memberP(sF1,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF2)
      | ~ ssList(sF1)
      | memberP(sF2,X0) ),
    inference(superposition,[],[f158,f214]) ).

fof(f214,plain,
    app(sF2,sF1) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f158,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(app(X0,X1),X2)
      | memberP(X1,X2)
      | ~ ssItem(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | memberP(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',clause158) ).

fof(f338,plain,
    ( spl4_2
    | spl4_8
    | ~ spl4_10 ),
    inference(avatar_contradiction_clause,[],[f337]) ).

fof(f337,plain,
    ( $false
    | spl4_2
    | spl4_8
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f336,f198]) ).

fof(f336,plain,
    ( ~ ssList(sk4)
    | spl4_2
    | spl4_8
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f335,f261]) ).

fof(f335,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk4)
    | spl4_2
    | spl4_8 ),
    inference(subsumption_resolution,[],[f334,f228]) ).

fof(f334,plain,
    ( nil = sk4
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | spl4_8 ),
    inference(resolution,[],[f253,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',clause100) ).

fof(f253,plain,
    ( ~ neq(nil,sk4)
    | spl4_8 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl4_8
  <=> neq(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f333,plain,
    ( spl4_2
    | spl4_9
    | ~ spl4_10 ),
    inference(avatar_contradiction_clause,[],[f332]) ).

fof(f332,plain,
    ( $false
    | spl4_2
    | spl4_9
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f331,f261]) ).

fof(f331,plain,
    ( ~ ssList(nil)
    | spl4_2
    | spl4_9 ),
    inference(subsumption_resolution,[],[f330,f198]) ).

fof(f330,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | spl4_2
    | spl4_9 ),
    inference(subsumption_resolution,[],[f325,f228]) ).

fof(f325,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | ~ ssList(nil)
    | spl4_9 ),
    inference(resolution,[],[f100,f257]) ).

fof(f257,plain,
    ( ~ neq(sk4,nil)
    | spl4_9 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f255,plain,
    ( spl4_9
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

fof(f307,plain,
    ~ spl4_1,
    inference(avatar_contradiction_clause,[],[f306]) ).

fof(f306,plain,
    ( $false
    | ~ spl4_1 ),
    inference(subsumption_resolution,[],[f305,f192]) ).

fof(f305,plain,
    ( ~ ssItem(sk5)
    | ~ spl4_1 ),
    inference(resolution,[],[f294,f71]) ).

fof(f294,plain,
    ( memberP(nil,sk5)
    | ~ spl4_1 ),
    inference(superposition,[],[f199,f224]) ).

fof(f224,plain,
    ( nil = sk3
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f222,plain,
    ( spl4_1
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f304,plain,
    ( ~ spl4_7
    | spl4_6
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f303,f260,f243,f247]) ).

fof(f303,plain,
    ( ssList(sF1)
    | ~ ssItem(sF0)
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f286,f261]) ).

fof(f286,plain,
    ( ssList(sF1)
    | ~ ssList(nil)
    | ~ ssItem(sF0) ),
    inference(superposition,[],[f86,f212]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',clause86) ).

fof(f292,plain,
    ( spl4_2
    | spl4_7 ),
    inference(avatar_split_clause,[],[f291,f247,f226]) ).

fof(f291,plain,
    ( ssItem(sF0)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f273,f198]) ).

fof(f273,plain,
    ( ssItem(sF0)
    | nil = sk4
    | ~ ssList(sk4) ),
    inference(superposition,[],[f78,f211]) ).

fof(f78,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',clause78) ).

fof(f285,plain,
    ( ~ spl4_6
    | spl4_3
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f284,f239,f231,f243]) ).

fof(f231,plain,
    ( spl4_3
  <=> ssList(sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f284,plain,
    ( ssList(sF3)
    | ~ ssList(sF1)
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f277,f240]) ).

fof(f277,plain,
    ( ssList(sF3)
    | ~ ssList(sF2)
    | ~ ssList(sF1) ),
    inference(superposition,[],[f85,f214]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',clause85) ).

fof(f272,plain,
    ( spl4_5
    | spl4_2 ),
    inference(avatar_split_clause,[],[f271,f226,f239]) ).

fof(f271,plain,
    ( ssList(sF2)
    | spl4_2 ),
    inference(subsumption_resolution,[],[f270,f198]) ).

fof(f270,plain,
    ( ssList(sF2)
    | ~ ssList(sk4)
    | spl4_2 ),
    inference(subsumption_resolution,[],[f269,f228]) ).

fof(f269,plain,
    ( ssList(sF2)
    | nil = sk4
    | ~ ssList(sk4) ),
    inference(superposition,[],[f77,f213]) ).

fof(f77,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',clause77) ).

fof(f268,plain,
    spl4_10,
    inference(avatar_split_clause,[],[f8,f260]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',clause8) ).

fof(f258,plain,
    ( ~ spl4_3
    | spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f220,f255,f251,f247,f243,f239,f235,f231]) ).

fof(f220,plain,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ ssItem(sF0)
    | ~ ssList(sF1)
    | ~ ssList(sF2)
    | sk3 = sF3
    | ~ ssList(sF3) ),
    inference(duplicate_literal_removal,[],[f215]) ).

fof(f215,plain,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ neq(nil,sk4)
    | ~ ssItem(sF0)
    | ~ ssList(sF1)
    | ~ ssList(sF2)
    | sk3 = sF3
    | ~ ssList(sF3) ),
    inference(definition_folding,[],[f204,f214,f212,f211,f213,f214,f212,f211,f213,f213,f212,f211,f211]) ).

fof(f204,plain,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ neq(nil,sk4)
    | ~ ssItem(hd(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(app(tl(sk4),cons(hd(sk4),nil))) ),
    inference(equality_resolution,[],[f203]) ).

fof(f203,plain,
    ! [X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | ~ ssItem(hd(sk4))
      | tl(sk4) != X7
      | ~ ssList(cons(hd(sk4),nil))
      | ~ ssList(X7)
      | sk3 = app(X7,cons(hd(sk4),nil))
      | ~ ssList(app(X7,cons(hd(sk4),nil))) ),
    inference(equality_resolution,[],[f202]) ).

fof(f202,plain,
    ! [X6,X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | ~ ssItem(hd(sk4))
      | app(X7,cons(hd(sk4),nil)) != X6
      | tl(sk4) != X7
      | ~ ssList(cons(hd(sk4),nil))
      | ~ ssList(X7)
      | sk3 = X6
      | ~ ssList(X6) ),
    inference(equality_resolution,[],[f201]) ).

fof(f201,plain,
    ! [X8,X6,X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | cons(hd(sk4),nil) != X8
      | ~ ssItem(hd(sk4))
      | app(X7,X8) != X6
      | tl(sk4) != X7
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk3 = X6
      | ~ ssList(X6) ),
    inference(equality_resolution,[],[f196]) ).

fof(f196,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | hd(sk4) != X9
      | cons(X9,nil) != X8
      | ~ ssItem(X9)
      | app(X7,X8) != X6
      | tl(sk4) != X7
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk3 = X6
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',co1_11) ).

fof(f229,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f195,f226,f222]) ).

fof(f195,axiom,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox2/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168',co1_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWC395-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.15  % 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
% 0.15/0.36  % Computer : n029.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 20:34:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  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/tmp/tmp.i4EZsq8dO8/Vampire---4.8_10168
% 0.61/0.78  % (10358)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 Vampire---4 for (2995ds/34Mi)
% 0.61/0.79  % (10365)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.79  % (10361)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.79  % (10360)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79  % (10363)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.79  % (10359)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 Vampire---4 for (2995ds/51Mi)
% 0.61/0.79  % (10362)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 Vampire---4 for (2995ds/34Mi)
% 0.61/0.79  % (10364)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.61/0.79  % (10365)Refutation not found, incomplete strategy% (10365)------------------------------
% 0.61/0.79  % (10365)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (10365)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (10365)Memory used [KB]: 1195
% 0.61/0.79  % (10365)Time elapsed: 0.004 s
% 0.61/0.79  % (10365)Instructions burned: 5 (million)
% 0.61/0.79  % (10365)------------------------------
% 0.61/0.79  % (10365)------------------------------
% 0.61/0.79  % (10367)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.61/0.80  % (10362)Refutation not found, incomplete strategy% (10362)------------------------------
% 0.61/0.80  % (10362)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (10362)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (10362)Memory used [KB]: 1361
% 0.61/0.80  % (10362)Time elapsed: 0.016 s
% 0.61/0.80  % (10362)Instructions burned: 14 (million)
% 0.61/0.80  % (10362)------------------------------
% 0.61/0.80  % (10362)------------------------------
% 0.61/0.80  % (10358)Instruction limit reached!
% 0.61/0.80  % (10358)------------------------------
% 0.61/0.80  % (10358)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (10358)Termination reason: Unknown
% 0.61/0.80  % (10358)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (10358)Memory used [KB]: 1458
% 0.61/0.80  % (10358)Time elapsed: 0.021 s
% 0.61/0.80  % (10358)Instructions burned: 34 (million)
% 0.61/0.80  % (10358)------------------------------
% 0.61/0.80  % (10358)------------------------------
% 0.61/0.81  % (10369)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.61/0.81  % (10368)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.61/0.82  % (10361)Instruction limit reached!
% 0.61/0.82  % (10361)------------------------------
% 0.61/0.82  % (10361)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (10361)Termination reason: Unknown
% 0.61/0.82  % (10361)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (10361)Memory used [KB]: 1628
% 0.61/0.82  % (10361)Time elapsed: 0.034 s
% 0.61/0.82  % (10361)Instructions burned: 33 (million)
% 0.61/0.82  % (10361)------------------------------
% 0.61/0.82  % (10361)------------------------------
% 0.70/0.82  % (10371)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.70/0.82  % (10367)Instruction limit reached!
% 0.70/0.82  % (10367)------------------------------
% 0.70/0.82  % (10367)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.82  % (10367)Termination reason: Unknown
% 0.70/0.82  % (10367)Termination phase: Saturation
% 0.70/0.82  
% 0.70/0.82  % (10367)Memory used [KB]: 2076
% 0.70/0.82  % (10367)Time elapsed: 0.033 s
% 0.70/0.82  % (10367)Instructions burned: 56 (million)
% 0.70/0.82  % (10367)------------------------------
% 0.70/0.82  % (10367)------------------------------
% 0.70/0.83  % (10372)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.70/0.83  % (10363)Instruction limit reached!
% 0.70/0.83  % (10363)------------------------------
% 0.70/0.83  % (10363)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.83  % (10363)Termination reason: Unknown
% 0.70/0.83  % (10363)Termination phase: Saturation
% 0.70/0.83  
% 0.70/0.83  % (10363)Memory used [KB]: 1634
% 0.70/0.83  % (10363)Time elapsed: 0.044 s
% 0.70/0.83  % (10363)Instructions burned: 46 (million)
% 0.70/0.83  % (10363)------------------------------
% 0.70/0.83  % (10363)------------------------------
% 0.70/0.83  % (10374)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.70/0.83  % (10359)Instruction limit reached!
% 0.70/0.83  % (10359)------------------------------
% 0.70/0.83  % (10359)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.83  % (10359)Termination reason: Unknown
% 0.70/0.83  % (10359)Termination phase: Saturation
% 0.70/0.83  
% 0.70/0.83  % (10359)Memory used [KB]: 1997
% 0.70/0.83  % (10359)Time elapsed: 0.049 s
% 0.70/0.83  % (10369)First to succeed.
% 0.70/0.83  % (10359)Instructions burned: 51 (million)
% 0.70/0.83  % (10359)------------------------------
% 0.70/0.83  % (10359)------------------------------
% 0.70/0.83  % (10369)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10335"
% 0.70/0.84  % (10369)Refutation found. Thanks to Tanya!
% 0.70/0.84  % SZS status Unsatisfiable for Vampire---4
% 0.70/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.70/0.84  % (10369)------------------------------
% 0.70/0.84  % (10369)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.84  % (10369)Termination reason: Refutation
% 0.70/0.84  
% 0.70/0.84  % (10369)Memory used [KB]: 1526
% 0.70/0.84  % (10369)Time elapsed: 0.030 s
% 0.70/0.84  % (10369)Instructions burned: 51 (million)
% 0.70/0.84  % (10335)Success in time 0.46 s
% 0.70/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------