TSTP Solution File: SWC410-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC410-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.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 May  1 04:01:59 EDT 2024

% Result   : Unsatisfiable 0.68s 0.79s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  131 (  18 unt;   0 def)
%            Number of atoms       :  445 (  59 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  578 ( 264   ~; 301   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  14 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :   51 (  51   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1336,plain,
    $false,
    inference(avatar_sat_refutation,[],[f230,f239,f264,f274,f277,f280,f289,f320,f325,f330,f332,f363,f1290,f1295,f1335]) ).

fof(f1335,plain,
    ( spl4_1
    | ~ spl4_7
    | ~ spl4_9
    | ~ spl4_11
    | ~ spl4_41 ),
    inference(avatar_contradiction_clause,[],[f1334]) ).

fof(f1334,plain,
    ( $false
    | spl4_1
    | ~ spl4_7
    | ~ spl4_9
    | ~ spl4_11
    | ~ spl4_41 ),
    inference(subsumption_resolution,[],[f1324,f201]) ).

fof(f201,plain,
    ~ memberP(sk3,sk5),
    inference(definition_unfolding,[],[f194,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',co1_6) ).

fof(f194,axiom,
    ~ memberP(sk1,sk5),
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',co1_9) ).

fof(f1324,plain,
    ( memberP(sk3,sk5)
    | spl4_1
    | ~ spl4_7
    | ~ spl4_9
    | ~ spl4_11
    | ~ spl4_41 ),
    inference(superposition,[],[f403,f1319]) ).

fof(f1319,plain,
    ( sk5 = sF0
    | ~ spl4_9
    | ~ spl4_11
    | ~ spl4_41 ),
    inference(subsumption_resolution,[],[f1317,f192]) ).

fof(f192,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',co1_7) ).

fof(f1317,plain,
    ( ~ ssItem(sk5)
    | sk5 = sF0
    | ~ spl4_9
    | ~ spl4_11
    | ~ spl4_41 ),
    inference(resolution,[],[f1289,f1012]) ).

fof(f1012,plain,
    ( ! [X0] :
        ( ~ memberP(sF1,X0)
        | ~ ssItem(X0)
        | sF0 = X0 )
    | ~ spl4_9
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f1011,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',clause71) ).

fof(f1011,plain,
    ( ! [X0] :
        ( ~ memberP(sF1,X0)
        | memberP(nil,X0)
        | ~ ssItem(X0)
        | sF0 = X0 )
    | ~ spl4_9
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f1010,f267]) ).

fof(f267,plain,
    ( ssList(nil)
    | ~ spl4_11 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f266,plain,
    ( spl4_11
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

fof(f1010,plain,
    ( ! [X0] :
        ( ~ memberP(sF1,X0)
        | memberP(nil,X0)
        | ~ ssItem(X0)
        | ~ ssList(nil)
        | sF0 = X0 )
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f1003,f258]) ).

fof(f258,plain,
    ( ssItem(sF0)
    | ~ spl4_9 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl4_9
  <=> ssItem(sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

fof(f1003,plain,
    ! [X0] :
      ( ~ memberP(sF1,X0)
      | memberP(nil,X0)
      | ~ ssItem(X0)
      | ~ ssItem(sF0)
      | ~ ssList(nil)
      | sF0 = X0 ),
    inference(superposition,[],[f161,f213]) ).

fof(f213,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/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',clause161) ).

fof(f1289,plain,
    ( memberP(sF1,sk5)
    | ~ spl4_41 ),
    inference(avatar_component_clause,[],[f1287]) ).

fof(f1287,plain,
    ( spl4_41
  <=> memberP(sF1,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).

fof(f403,plain,
    ( memberP(sk3,sF0)
    | spl4_1
    | ~ spl4_7
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f402,f250]) ).

fof(f250,plain,
    ( ssList(sF2)
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f249,plain,
    ( spl4_7
  <=> ssList(sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f402,plain,
    ( memberP(sk3,sF0)
    | ~ ssList(sF2)
    | spl4_1
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f398,f258]) ).

fof(f398,plain,
    ( memberP(sk3,sF0)
    | ~ ssItem(sF0)
    | ~ ssList(sF2)
    | spl4_1 ),
    inference(superposition,[],[f220,f381]) ).

fof(f381,plain,
    ( sk3 = cons(sF0,sF2)
    | spl4_1 ),
    inference(forward_demodulation,[],[f380,f214]) ).

fof(f214,plain,
    tl(sk3) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f380,plain,
    ( sk3 = cons(sF0,tl(sk3))
    | spl4_1 ),
    inference(subsumption_resolution,[],[f379,f198]) ).

fof(f198,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',co1_1) ).

fof(f379,plain,
    ( sk3 = cons(sF0,tl(sk3))
    | ~ ssList(sk3)
    | spl4_1 ),
    inference(subsumption_resolution,[],[f370,f224]) ).

fof(f224,plain,
    ( nil != sk3
    | spl4_1 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f223,plain,
    ( spl4_1
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f370,plain,
    ( sk3 = cons(sF0,tl(sk3))
    | nil = sk3
    | ~ ssList(sk3) ),
    inference(superposition,[],[f104,f212]) ).

fof(f212,plain,
    hd(sk3) = 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/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',clause104) ).

fof(f220,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f207]) ).

fof(f207,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/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',clause138) ).

fof(f1295,plain,
    ( spl4_1
    | ~ spl4_7
    | ~ spl4_9
    | ~ spl4_40 ),
    inference(avatar_contradiction_clause,[],[f1294]) ).

fof(f1294,plain,
    ( $false
    | spl4_1
    | ~ spl4_7
    | ~ spl4_9
    | ~ spl4_40 ),
    inference(subsumption_resolution,[],[f1293,f201]) ).

fof(f1293,plain,
    ( memberP(sk3,sk5)
    | spl4_1
    | ~ spl4_7
    | ~ spl4_9
    | ~ spl4_40 ),
    inference(subsumption_resolution,[],[f1291,f192]) ).

fof(f1291,plain,
    ( ~ ssItem(sk5)
    | memberP(sk3,sk5)
    | spl4_1
    | ~ spl4_7
    | ~ spl4_9
    | ~ spl4_40 ),
    inference(resolution,[],[f1285,f506]) ).

fof(f506,plain,
    ( ! [X0] :
        ( ~ memberP(sF2,X0)
        | ~ ssItem(X0)
        | memberP(sk3,X0) )
    | spl4_1
    | ~ spl4_7
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f505,f250]) ).

fof(f505,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssItem(X0)
        | ~ ssList(sF2)
        | ~ memberP(sF2,X0) )
    | spl4_1
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f503,f258]) ).

fof(f503,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssItem(X0)
        | ~ ssItem(sF0)
        | ~ ssList(sF2)
        | ~ memberP(sF2,X0) )
    | spl4_1 ),
    inference(superposition,[],[f139,f381]) ).

fof(f139,axiom,
    ! [X2,X0,X1] :
      ( memberP(cons(X2,X0),X1)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',clause139) ).

fof(f1285,plain,
    ( memberP(sF2,sk5)
    | ~ spl4_40 ),
    inference(avatar_component_clause,[],[f1283]) ).

fof(f1283,plain,
    ( spl4_40
  <=> memberP(sF2,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).

fof(f1290,plain,
    ( spl4_40
    | spl4_41
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f1281,f253,f249,f245,f1287,f1283]) ).

fof(f245,plain,
    ( spl4_6
  <=> sk4 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f253,plain,
    ( spl4_8
  <=> ssList(sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f1281,plain,
    ( memberP(sF1,sk5)
    | memberP(sF2,sk5)
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8 ),
    inference(subsumption_resolution,[],[f1276,f192]) ).

fof(f1276,plain,
    ( memberP(sF1,sk5)
    | ~ ssItem(sk5)
    | memberP(sF2,sk5)
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8 ),
    inference(resolution,[],[f935,f200]) ).

fof(f200,plain,
    memberP(sk4,sk5),
    inference(definition_unfolding,[],[f193,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',co1_5) ).

fof(f193,axiom,
    memberP(sk2,sk5),
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',co1_8) ).

fof(f935,plain,
    ( ! [X0] :
        ( ~ memberP(sk4,X0)
        | memberP(sF1,X0)
        | ~ ssItem(X0)
        | memberP(sF2,X0) )
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f934,f247]) ).

fof(f247,plain,
    ( sk4 = sF3
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f934,plain,
    ( ! [X0] :
        ( ~ memberP(sF3,X0)
        | memberP(sF1,X0)
        | ~ ssItem(X0)
        | memberP(sF2,X0) )
    | ~ spl4_7
    | ~ spl4_8 ),
    inference(subsumption_resolution,[],[f933,f254]) ).

fof(f254,plain,
    ( ssList(sF1)
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f933,plain,
    ( ! [X0] :
        ( ~ memberP(sF3,X0)
        | memberP(sF1,X0)
        | ~ ssItem(X0)
        | ~ ssList(sF1)
        | memberP(sF2,X0) )
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f916,f250]) ).

fof(f916,plain,
    ! [X0] :
      ( ~ memberP(sF3,X0)
      | memberP(sF1,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF2)
      | ~ ssList(sF1)
      | memberP(sF2,X0) ),
    inference(superposition,[],[f158,f215]) ).

fof(f215,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/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',clause158) ).

fof(f363,plain,
    ( spl4_1
    | spl4_10
    | ~ spl4_11 ),
    inference(avatar_contradiction_clause,[],[f362]) ).

fof(f362,plain,
    ( $false
    | spl4_1
    | spl4_10
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f361,f198]) ).

fof(f361,plain,
    ( ~ ssList(sk3)
    | spl4_1
    | spl4_10
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f360,f267]) ).

fof(f360,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk3)
    | spl4_1
    | spl4_10 ),
    inference(subsumption_resolution,[],[f359,f224]) ).

fof(f359,plain,
    ( nil = sk3
    | ~ ssList(nil)
    | ~ ssList(sk3)
    | spl4_10 ),
    inference(resolution,[],[f263,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',clause100) ).

fof(f263,plain,
    ( ~ neq(nil,sk3)
    | spl4_10 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl4_10
  <=> neq(nil,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

fof(f332,plain,
    ( ~ spl4_9
    | spl4_8
    | ~ spl4_11 ),
    inference(avatar_split_clause,[],[f331,f266,f253,f257]) ).

fof(f331,plain,
    ( ssList(sF1)
    | ~ ssItem(sF0)
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f290,f267]) ).

fof(f290,plain,
    ( ssList(sF1)
    | ~ ssList(nil)
    | ~ ssItem(sF0) ),
    inference(superposition,[],[f86,f213]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',clause86) ).

fof(f330,plain,
    ( ~ spl4_1
    | ~ spl4_4
    | ~ spl4_11 ),
    inference(avatar_contradiction_clause,[],[f329]) ).

fof(f329,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_4
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f328,f267]) ).

fof(f328,plain,
    ( ~ ssList(nil)
    | ~ spl4_1
    | ~ spl4_4 ),
    inference(resolution,[],[f326,f217]) ).

fof(f217,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f211]) ).

fof(f211,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ neq(X0,X1)
      | X0 != X1 ),
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',clause115) ).

fof(f326,plain,
    ( neq(nil,nil)
    | ~ spl4_1
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f238,f225]) ).

fof(f225,plain,
    ( nil = sk3
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f238,plain,
    ( neq(sk3,nil)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f236,plain,
    ( spl4_4
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f325,plain,
    ( ~ spl4_1
    | ~ spl4_2 ),
    inference(avatar_contradiction_clause,[],[f324]) ).

fof(f324,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_2 ),
    inference(subsumption_resolution,[],[f322,f298]) ).

fof(f298,plain,
    ( ~ memberP(nil,sk5)
    | ~ spl4_1 ),
    inference(superposition,[],[f201,f225]) ).

fof(f322,plain,
    ( memberP(nil,sk5)
    | ~ spl4_2 ),
    inference(superposition,[],[f200,f228]) ).

fof(f228,plain,
    ( nil = sk4
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f227,plain,
    ( spl4_2
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f320,plain,
    ( spl4_2
    | spl4_3
    | ~ spl4_11 ),
    inference(avatar_split_clause,[],[f319,f266,f232,f227]) ).

fof(f232,plain,
    ( spl4_3
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f319,plain,
    ( nil = sk4
    | spl4_3
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f318,f267]) ).

fof(f318,plain,
    ( nil = sk4
    | ~ ssList(nil)
    | spl4_3 ),
    inference(subsumption_resolution,[],[f309,f199]) ).

fof(f199,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',co1_2) ).

fof(f309,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | ~ ssList(nil)
    | spl4_3 ),
    inference(resolution,[],[f100,f234]) ).

fof(f234,plain,
    ( ~ neq(sk4,nil)
    | spl4_3 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f289,plain,
    ( ~ spl4_8
    | spl4_5
    | ~ spl4_7 ),
    inference(avatar_split_clause,[],[f288,f249,f241,f253]) ).

fof(f241,plain,
    ( spl4_5
  <=> ssList(sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f288,plain,
    ( ssList(sF3)
    | ~ ssList(sF1)
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f281,f250]) ).

fof(f281,plain,
    ( ssList(sF3)
    | ~ ssList(sF2)
    | ~ ssList(sF1) ),
    inference(superposition,[],[f85,f215]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',clause85) ).

fof(f280,plain,
    ( spl4_1
    | spl4_9 ),
    inference(avatar_split_clause,[],[f279,f257,f223]) ).

fof(f279,plain,
    ( ssItem(sF0)
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f278,f198]) ).

fof(f278,plain,
    ( ssItem(sF0)
    | nil = sk3
    | ~ ssList(sk3) ),
    inference(superposition,[],[f78,f212]) ).

fof(f78,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',clause78) ).

fof(f277,plain,
    ( spl4_1
    | spl4_7 ),
    inference(avatar_split_clause,[],[f276,f249,f223]) ).

fof(f276,plain,
    ( ssList(sF2)
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f275,f198]) ).

fof(f275,plain,
    ( ssList(sF2)
    | nil = sk3
    | ~ ssList(sk3) ),
    inference(superposition,[],[f77,f214]) ).

fof(f77,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',clause77) ).

fof(f274,plain,
    spl4_11,
    inference(avatar_split_clause,[],[f8,f266]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',clause8) ).

fof(f264,plain,
    ( ~ spl4_3
    | ~ spl4_5
    | spl4_6
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_9
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f221,f261,f257,f253,f249,f245,f241,f232]) ).

fof(f221,plain,
    ( ~ neq(nil,sk3)
    | ~ ssItem(sF0)
    | ~ ssList(sF1)
    | ~ ssList(sF2)
    | sk4 = sF3
    | ~ ssList(sF3)
    | ~ neq(sk4,nil) ),
    inference(duplicate_literal_removal,[],[f216]) ).

fof(f216,plain,
    ( ~ neq(nil,sk3)
    | ~ neq(nil,sk3)
    | ~ ssItem(sF0)
    | ~ ssList(sF1)
    | ~ ssList(sF2)
    | sk4 = sF3
    | ~ ssList(sF3)
    | ~ neq(sk4,nil) ),
    inference(definition_folding,[],[f205,f215,f213,f212,f214,f215,f213,f212,f214,f214,f213,f212,f212]) ).

fof(f205,plain,
    ( ~ neq(nil,sk3)
    | ~ neq(nil,sk3)
    | ~ ssItem(hd(sk3))
    | ~ ssList(cons(hd(sk3),nil))
    | ~ ssList(tl(sk3))
    | sk4 = app(tl(sk3),cons(hd(sk3),nil))
    | ~ ssList(app(tl(sk3),cons(hd(sk3),nil)))
    | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f204]) ).

fof(f204,plain,
    ! [X7] :
      ( ~ neq(nil,sk3)
      | ~ neq(nil,sk3)
      | ~ ssItem(hd(sk3))
      | tl(sk3) != X7
      | ~ ssList(cons(hd(sk3),nil))
      | ~ ssList(X7)
      | sk4 = app(X7,cons(hd(sk3),nil))
      | ~ ssList(app(X7,cons(hd(sk3),nil)))
      | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f203]) ).

fof(f203,plain,
    ! [X6,X7] :
      ( ~ neq(nil,sk3)
      | ~ neq(nil,sk3)
      | ~ ssItem(hd(sk3))
      | app(X7,cons(hd(sk3),nil)) != X6
      | tl(sk3) != X7
      | ~ ssList(cons(hd(sk3),nil))
      | ~ ssList(X7)
      | sk4 = X6
      | ~ ssList(X6)
      | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f202]) ).

fof(f202,plain,
    ! [X8,X6,X7] :
      ( ~ neq(nil,sk3)
      | ~ neq(nil,sk3)
      | cons(hd(sk3),nil) != X8
      | ~ ssItem(hd(sk3))
      | app(X7,X8) != X6
      | tl(sk3) != X7
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk4 = X6
      | ~ ssList(X6)
      | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f197]) ).

fof(f197,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ neq(nil,sk3)
      | ~ neq(nil,sk3)
      | hd(sk3) != X9
      | cons(X9,nil) != X8
      | ~ ssItem(X9)
      | app(X7,X8) != X6
      | tl(sk3) != X7
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk4 = X6
      | ~ ssList(X6)
      | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',co1_12) ).

fof(f239,plain,
    ( ~ spl4_3
    | spl4_4 ),
    inference(avatar_split_clause,[],[f196,f236,f232]) ).

fof(f196,axiom,
    ( neq(sk3,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',co1_11) ).

fof(f230,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f195,f227,f223]) ).

fof(f195,axiom,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440',co1_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC410-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34  % Computer : n024.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 Apr 30 18:15:06 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.34  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.ze2cF5q8JM/Vampire---4.8_22440
% 0.57/0.73  % (22702)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 (2996ds/83Mi)
% 0.57/0.73  % (22696)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 (2996ds/34Mi)
% 0.57/0.73  % (22697)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 (2996ds/51Mi)
% 0.57/0.73  % (22698)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73  % (22699)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.73  % (22701)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.73  % (22700)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 (2996ds/34Mi)
% 0.57/0.73  % (22703)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 (2996ds/56Mi)
% 0.57/0.74  % (22703)Refutation not found, incomplete strategy% (22703)------------------------------
% 0.57/0.74  % (22703)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (22703)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (22703)Memory used [KB]: 1192
% 0.57/0.74  % (22703)Time elapsed: 0.004 s
% 0.57/0.74  % (22703)Instructions burned: 5 (million)
% 0.57/0.74  % (22703)------------------------------
% 0.57/0.74  % (22703)------------------------------
% 0.57/0.74  % (22700)Refutation not found, incomplete strategy% (22700)------------------------------
% 0.57/0.74  % (22700)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74  % (22704)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 (2996ds/55Mi)
% 0.57/0.74  % (22700)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74  
% 0.57/0.74  % (22700)Memory used [KB]: 1360
% 0.57/0.74  % (22700)Time elapsed: 0.009 s
% 0.57/0.74  % (22700)Instructions burned: 14 (million)
% 0.57/0.74  % (22700)------------------------------
% 0.57/0.74  % (22700)------------------------------
% 0.57/0.74  % (22705)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 (2996ds/50Mi)
% 0.57/0.75  % (22699)Instruction limit reached!
% 0.57/0.75  % (22699)------------------------------
% 0.57/0.75  % (22699)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (22699)Termination reason: Unknown
% 0.57/0.75  % (22699)Termination phase: Saturation
% 0.57/0.75  
% 0.57/0.75  % (22699)Memory used [KB]: 1583
% 0.57/0.75  % (22699)Time elapsed: 0.020 s
% 0.57/0.75  % (22699)Instructions burned: 34 (million)
% 0.57/0.75  % (22699)------------------------------
% 0.57/0.75  % (22699)------------------------------
% 0.57/0.75  % (22696)Instruction limit reached!
% 0.57/0.75  % (22696)------------------------------
% 0.57/0.75  % (22696)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (22696)Termination reason: Unknown
% 0.57/0.75  % (22696)Termination phase: Saturation
% 0.57/0.75  
% 0.57/0.75  % (22696)Memory used [KB]: 1545
% 0.57/0.75  % (22696)Time elapsed: 0.021 s
% 0.57/0.75  % (22696)Instructions burned: 34 (million)
% 0.57/0.75  % (22696)------------------------------
% 0.57/0.75  % (22696)------------------------------
% 0.57/0.75  % (22702)Instruction limit reached!
% 0.57/0.75  % (22702)------------------------------
% 0.57/0.75  % (22702)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (22702)Termination reason: Unknown
% 0.57/0.75  % (22702)Termination phase: Saturation
% 0.57/0.75  
% 0.57/0.75  % (22702)Memory used [KB]: 2105
% 0.57/0.75  % (22702)Time elapsed: 0.024 s
% 0.57/0.75  % (22702)Instructions burned: 83 (million)
% 0.57/0.75  % (22702)------------------------------
% 0.57/0.75  % (22702)------------------------------
% 0.57/0.75  % (22706)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 (2996ds/208Mi)
% 0.57/0.76  % (22707)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 (2996ds/52Mi)
% 0.57/0.76  % (22708)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 (2996ds/518Mi)
% 0.57/0.76  % (22701)Instruction limit reached!
% 0.57/0.76  % (22701)------------------------------
% 0.57/0.76  % (22701)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (22701)Termination reason: Unknown
% 0.57/0.76  % (22701)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (22701)Memory used [KB]: 1630
% 0.57/0.76  % (22701)Time elapsed: 0.027 s
% 0.57/0.76  % (22701)Instructions burned: 45 (million)
% 0.57/0.76  % (22701)------------------------------
% 0.57/0.76  % (22701)------------------------------
% 0.57/0.76  % (22708)Refutation not found, incomplete strategy% (22708)------------------------------
% 0.57/0.76  % (22708)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (22708)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (22708)Memory used [KB]: 1297
% 0.57/0.76  % (22708)Time elapsed: 0.006 s
% 0.57/0.76  % (22708)Instructions burned: 15 (million)
% 0.57/0.76  % (22708)------------------------------
% 0.57/0.76  % (22708)------------------------------
% 0.68/0.76  % (22709)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)
% 0.68/0.77  % (22697)Instruction limit reached!
% 0.68/0.77  % (22697)------------------------------
% 0.68/0.77  % (22697)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.77  % (22697)Termination reason: Unknown
% 0.68/0.77  % (22697)Termination phase: Saturation
% 0.68/0.77  
% 0.68/0.77  % (22697)Memory used [KB]: 1980
% 0.68/0.77  % (22697)Time elapsed: 0.035 s
% 0.68/0.77  % (22697)Instructions burned: 52 (million)
% 0.68/0.77  % (22697)------------------------------
% 0.68/0.77  % (22697)------------------------------
% 0.68/0.77  % (22711)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.68/0.77  % (22705)Instruction limit reached!
% 0.68/0.77  % (22705)------------------------------
% 0.68/0.77  % (22705)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.77  % (22705)Termination reason: Unknown
% 0.68/0.77  % (22705)Termination phase: Saturation
% 0.68/0.77  
% 0.68/0.77  % (22705)Memory used [KB]: 1689
% 0.68/0.77  % (22705)Time elapsed: 0.027 s
% 0.68/0.77  % (22705)Instructions burned: 51 (million)
% 0.68/0.77  % (22705)------------------------------
% 0.68/0.77  % (22705)------------------------------
% 0.68/0.77  % (22704)Instruction limit reached!
% 0.68/0.77  % (22704)------------------------------
% 0.68/0.77  % (22704)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.77  % (22704)Termination reason: Unknown
% 0.68/0.77  % (22704)Termination phase: Saturation
% 0.68/0.77  
% 0.68/0.77  % (22704)Memory used [KB]: 2047
% 0.68/0.77  % (22704)Time elapsed: 0.033 s
% 0.68/0.77  % (22704)Instructions burned: 56 (million)
% 0.68/0.77  % (22704)------------------------------
% 0.68/0.77  % (22704)------------------------------
% 0.68/0.77  % (22713)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.68/0.77  % (22712)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.68/0.77  % (22710)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.68/0.78  % (22698)Instruction limit reached!
% 0.68/0.78  % (22698)------------------------------
% 0.68/0.78  % (22698)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.78  % (22698)Termination reason: Unknown
% 0.68/0.78  % (22698)Termination phase: Saturation
% 0.68/0.78  
% 0.68/0.78  % (22698)Memory used [KB]: 1923
% 0.68/0.78  % (22698)Time elapsed: 0.050 s
% 0.68/0.78  % (22698)Instructions burned: 78 (million)
% 0.68/0.78  % (22698)------------------------------
% 0.68/0.78  % (22698)------------------------------
% 0.68/0.78  % (22706)First to succeed.
% 0.68/0.79  % (22706)Refutation found. Thanks to Tanya!
% 0.68/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.68/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.79  % (22706)------------------------------
% 0.68/0.79  % (22706)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.79  % (22706)Termination reason: Refutation
% 0.68/0.79  
% 0.68/0.79  % (22706)Memory used [KB]: 1523
% 0.68/0.79  % (22706)Time elapsed: 0.031 s
% 0.68/0.79  % (22706)Instructions burned: 50 (million)
% 0.68/0.79  % (22706)------------------------------
% 0.68/0.79  % (22706)------------------------------
% 0.68/0.79  % (22692)Success in time 0.425 s
% 0.68/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------