TSTP Solution File: SWC306-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC306-1 : 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 : n008.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 09:50:10 EDT 2024

% Result   : Unsatisfiable 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  141 (  21 unt;   0 def)
%            Number of atoms       :  477 (  57 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  664 ( 328   ~; 325   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  12 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  16 con; 0-2 aty)
%            Number of variables   :   50 (  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1255,plain,
    $false,
    inference(avatar_sat_refutation,[],[f240,f251,f262,f284,f290,f299,f321,f324,f387,f398,f413,f1254]) ).

fof(f1254,plain,
    ( ~ spl7_1
    | ~ spl7_4
    | ~ spl7_6
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(avatar_contradiction_clause,[],[f1253]) ).

fof(f1253,plain,
    ( $false
    | ~ spl7_1
    | ~ spl7_4
    | ~ spl7_6
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(subsumption_resolution,[],[f1244,f1240]) ).

fof(f1240,plain,
    ( lt(sk5,sk5)
    | ~ spl7_1
    | ~ spl7_4
    | ~ spl7_6
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(superposition,[],[f198,f1232]) ).

fof(f1232,plain,
    ( sk5 = sk6
    | ~ spl7_1
    | ~ spl7_4
    | ~ spl7_6
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(superposition,[],[f1169,f931]) ).

fof(f931,plain,
    ( sk6 = sk10
    | ~ spl7_1
    | ~ spl7_4
    | ~ spl7_6
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(subsumption_resolution,[],[f929,f193]) ).

fof(f193,axiom,
    ssItem(sk6),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',co1_8) ).

fof(f929,plain,
    ( ~ ssItem(sk6)
    | sk6 = sk10
    | ~ spl7_1
    | ~ spl7_4
    | ~ spl7_6
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(resolution,[],[f899,f538]) ).

fof(f538,plain,
    ( memberP(sk3,sk6)
    | ~ spl7_6
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(subsumption_resolution,[],[f537,f193]) ).

fof(f537,plain,
    ( ~ ssItem(sk6)
    | memberP(sk3,sk6)
    | ~ spl7_6
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(resolution,[],[f533,f481]) ).

fof(f481,plain,
    ( ! [X0] :
        ( ~ memberP(sF4,X0)
        | ~ ssItem(X0)
        | memberP(sk3,X0) )
    | ~ spl7_12 ),
    inference(forward_demodulation,[],[f480,f220]) ).

fof(f220,plain,
    sk3 = sF5,
    inference(definition_folding,[],[f207,f219,f218,f217,f216,f215,f214]) ).

fof(f214,plain,
    cons(sk5,nil) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f215,plain,
    app(sk7,sF0) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f216,plain,
    app(sF1,sk8) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f217,plain,
    cons(sk6,nil) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f218,plain,
    app(sF2,sF3) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

fof(f219,plain,
    app(sF4,sk9) = sF5,
    introduced(function_definition,[new_symbols(definition,[sF5])]) ).

fof(f207,plain,
    sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
    inference(definition_unfolding,[],[f197,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',co1_6) ).

fof(f197,axiom,
    sk1 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',co1_12) ).

fof(f480,plain,
    ( ! [X0] :
        ( memberP(sF5,X0)
        | ~ ssItem(X0)
        | ~ memberP(sF4,X0) )
    | ~ spl7_12 ),
    inference(subsumption_resolution,[],[f479,f196]) ).

fof(f196,axiom,
    ssList(sk9),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',co1_11) ).

fof(f479,plain,
    ( ! [X0] :
        ( memberP(sF5,X0)
        | ~ ssItem(X0)
        | ~ ssList(sk9)
        | ~ memberP(sF4,X0) )
    | ~ spl7_12 ),
    inference(subsumption_resolution,[],[f467,f298]) ).

fof(f298,plain,
    ( ssList(sF4)
    | ~ spl7_12 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f296,plain,
    ( spl7_12
  <=> ssList(sF4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_12])]) ).

fof(f467,plain,
    ! [X0] :
      ( memberP(sF5,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF4)
      | ~ ssList(sk9)
      | ~ memberP(sF4,X0) ),
    inference(superposition,[],[f140,f219]) ).

fof(f140,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',clause140) ).

fof(f533,plain,
    ( memberP(sF4,sk6)
    | ~ spl7_6
    | ~ spl7_10
    | ~ spl7_11 ),
    inference(subsumption_resolution,[],[f532,f193]) ).

fof(f532,plain,
    ( ~ ssItem(sk6)
    | memberP(sF4,sk6)
    | ~ spl7_6
    | ~ spl7_10
    | ~ spl7_11 ),
    inference(resolution,[],[f514,f341]) ).

fof(f341,plain,
    ( memberP(sF3,sk6)
    | ~ spl7_6 ),
    inference(subsumption_resolution,[],[f340,f255]) ).

fof(f255,plain,
    ( ssList(nil)
    | ~ spl7_6 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl7_6
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).

fof(f340,plain,
    ( memberP(sF3,sk6)
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f336,f193]) ).

fof(f336,plain,
    ( memberP(sF3,sk6)
    | ~ ssItem(sk6)
    | ~ ssList(nil) ),
    inference(superposition,[],[f224,f217]) ).

fof(f224,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f213]) ).

fof(f213,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.Bde7O0ZWPa/Vampire---4.8_17033',clause138) ).

fof(f514,plain,
    ( ! [X0] :
        ( ~ memberP(sF3,X0)
        | ~ ssItem(X0)
        | memberP(sF4,X0) )
    | ~ spl7_10
    | ~ spl7_11 ),
    inference(subsumption_resolution,[],[f513,f293]) ).

fof(f293,plain,
    ( ssList(sF3)
    | ~ spl7_11 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f292,plain,
    ( spl7_11
  <=> ssList(sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).

fof(f513,plain,
    ( ! [X0] :
        ( memberP(sF4,X0)
        | ~ ssItem(X0)
        | ~ ssList(sF3)
        | ~ memberP(sF3,X0) )
    | ~ spl7_10 ),
    inference(subsumption_resolution,[],[f499,f289]) ).

fof(f289,plain,
    ( ssList(sF2)
    | ~ spl7_10 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f287,plain,
    ( spl7_10
  <=> ssList(sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).

fof(f499,plain,
    ! [X0] :
      ( memberP(sF4,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF2)
      | ~ ssList(sF3)
      | ~ memberP(sF3,X0) ),
    inference(superposition,[],[f141,f218]) ).

fof(f141,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X2,X0),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',clause141) ).

fof(f899,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssItem(X0)
        | sk10 = X0 )
    | ~ spl7_1
    | ~ spl7_4
    | ~ spl7_6 ),
    inference(forward_demodulation,[],[f898,f244]) ).

fof(f244,plain,
    ( sk3 = sF6
    | ~ spl7_4 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl7_4
  <=> sk3 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).

fof(f898,plain,
    ( ! [X0] :
        ( ~ memberP(sF6,X0)
        | ~ ssItem(X0)
        | sk10 = X0 )
    | ~ spl7_1
    | ~ spl7_6 ),
    inference(subsumption_resolution,[],[f897,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',clause71) ).

fof(f897,plain,
    ( ! [X0] :
        ( ~ memberP(sF6,X0)
        | memberP(nil,X0)
        | ~ ssItem(X0)
        | sk10 = X0 )
    | ~ spl7_1
    | ~ spl7_6 ),
    inference(subsumption_resolution,[],[f896,f255]) ).

fof(f896,plain,
    ( ! [X0] :
        ( ~ memberP(sF6,X0)
        | memberP(nil,X0)
        | ~ ssItem(X0)
        | ~ ssList(nil)
        | sk10 = X0 )
    | ~ spl7_1 ),
    inference(subsumption_resolution,[],[f886,f230]) ).

fof(f230,plain,
    ( ssItem(sk10)
    | ~ spl7_1 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl7_1
  <=> ssItem(sk10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

fof(f886,plain,
    ! [X0] :
      ( ~ memberP(sF6,X0)
      | memberP(nil,X0)
      | ~ ssItem(X0)
      | ~ ssItem(sk10)
      | ~ ssList(nil)
      | sk10 = X0 ),
    inference(superposition,[],[f161,f221]) ).

fof(f221,plain,
    cons(sk10,nil) = sF6,
    introduced(function_definition,[new_symbols(definition,[sF6])]) ).

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.Bde7O0ZWPa/Vampire---4.8_17033',clause161) ).

fof(f1169,plain,
    ( sk5 = sk10
    | ~ spl7_1
    | ~ spl7_4
    | ~ spl7_6
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(subsumption_resolution,[],[f1168,f192]) ).

fof(f192,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',co1_7) ).

fof(f1168,plain,
    ( ~ ssItem(sk5)
    | sk5 = sk10
    | ~ spl7_1
    | ~ spl7_4
    | ~ spl7_6
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(resolution,[],[f1167,f899]) ).

fof(f1167,plain,
    ( memberP(sk3,sk5)
    | ~ spl7_6
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(subsumption_resolution,[],[f1166,f192]) ).

fof(f1166,plain,
    ( ~ ssItem(sk5)
    | memberP(sk3,sk5)
    | ~ spl7_6
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(resolution,[],[f1115,f481]) ).

fof(f1115,plain,
    ( memberP(sF4,sk5)
    | ~ spl7_6
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11 ),
    inference(subsumption_resolution,[],[f1114,f192]) ).

fof(f1114,plain,
    ( ~ ssItem(sk5)
    | memberP(sF4,sk5)
    | ~ spl7_6
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11 ),
    inference(resolution,[],[f1113,f478]) ).

fof(f478,plain,
    ( ! [X0] :
        ( ~ memberP(sF2,X0)
        | ~ ssItem(X0)
        | memberP(sF4,X0) )
    | ~ spl7_10
    | ~ spl7_11 ),
    inference(subsumption_resolution,[],[f477,f293]) ).

fof(f477,plain,
    ( ! [X0] :
        ( memberP(sF4,X0)
        | ~ ssItem(X0)
        | ~ ssList(sF3)
        | ~ memberP(sF2,X0) )
    | ~ spl7_10 ),
    inference(subsumption_resolution,[],[f466,f289]) ).

fof(f466,plain,
    ! [X0] :
      ( memberP(sF4,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF2)
      | ~ ssList(sF3)
      | ~ memberP(sF2,X0) ),
    inference(superposition,[],[f140,f218]) ).

fof(f1113,plain,
    ( memberP(sF2,sk5)
    | ~ spl7_6
    | ~ spl7_8
    | ~ spl7_9 ),
    inference(subsumption_resolution,[],[f1112,f192]) ).

fof(f1112,plain,
    ( ~ ssItem(sk5)
    | memberP(sF2,sk5)
    | ~ spl7_6
    | ~ spl7_8
    | ~ spl7_9 ),
    inference(resolution,[],[f1111,f476]) ).

fof(f476,plain,
    ( ! [X0] :
        ( ~ memberP(sF1,X0)
        | ~ ssItem(X0)
        | memberP(sF2,X0) )
    | ~ spl7_9 ),
    inference(subsumption_resolution,[],[f475,f195]) ).

fof(f195,axiom,
    ssList(sk8),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',co1_10) ).

fof(f475,plain,
    ( ! [X0] :
        ( memberP(sF2,X0)
        | ~ ssItem(X0)
        | ~ ssList(sk8)
        | ~ memberP(sF1,X0) )
    | ~ spl7_9 ),
    inference(subsumption_resolution,[],[f465,f283]) ).

fof(f283,plain,
    ( ssList(sF1)
    | ~ spl7_9 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f281,plain,
    ( spl7_9
  <=> ssList(sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).

fof(f465,plain,
    ! [X0] :
      ( memberP(sF2,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF1)
      | ~ ssList(sk8)
      | ~ memberP(sF1,X0) ),
    inference(superposition,[],[f140,f216]) ).

fof(f1111,plain,
    ( memberP(sF1,sk5)
    | ~ spl7_6
    | ~ spl7_8 ),
    inference(subsumption_resolution,[],[f1110,f192]) ).

fof(f1110,plain,
    ( ~ ssItem(sk5)
    | memberP(sF1,sk5)
    | ~ spl7_6
    | ~ spl7_8 ),
    inference(resolution,[],[f509,f339]) ).

fof(f339,plain,
    ( memberP(sF0,sk5)
    | ~ spl7_6 ),
    inference(subsumption_resolution,[],[f338,f255]) ).

fof(f338,plain,
    ( memberP(sF0,sk5)
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f335,f192]) ).

fof(f335,plain,
    ( memberP(sF0,sk5)
    | ~ ssItem(sk5)
    | ~ ssList(nil) ),
    inference(superposition,[],[f224,f214]) ).

fof(f509,plain,
    ( ! [X0] :
        ( ~ memberP(sF0,X0)
        | ~ ssItem(X0)
        | memberP(sF1,X0) )
    | ~ spl7_8 ),
    inference(subsumption_resolution,[],[f508,f278]) ).

fof(f278,plain,
    ( ssList(sF0)
    | ~ spl7_8 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f277,plain,
    ( spl7_8
  <=> ssList(sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).

fof(f508,plain,
    ! [X0] :
      ( memberP(sF1,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF0)
      | ~ memberP(sF0,X0) ),
    inference(subsumption_resolution,[],[f497,f194]) ).

fof(f194,axiom,
    ssList(sk7),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',co1_9) ).

fof(f497,plain,
    ! [X0] :
      ( memberP(sF1,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk7)
      | ~ ssList(sF0)
      | ~ memberP(sF0,X0) ),
    inference(superposition,[],[f141,f215]) ).

fof(f198,axiom,
    lt(sk6,sk5),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',co1_13) ).

fof(f1244,plain,
    ( ~ lt(sk5,sk5)
    | ~ spl7_1
    | ~ spl7_4
    | ~ spl7_6
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(superposition,[],[f347,f1232]) ).

fof(f347,plain,
    ~ lt(sk5,sk6),
    inference(subsumption_resolution,[],[f346,f193]) ).

fof(f346,plain,
    ( ~ ssItem(sk6)
    | ~ lt(sk5,sk6) ),
    inference(subsumption_resolution,[],[f345,f192]) ).

fof(f345,plain,
    ( ~ ssItem(sk5)
    | ~ ssItem(sk6)
    | ~ lt(sk5,sk6) ),
    inference(resolution,[],[f114,f198]) ).

fof(f114,axiom,
    ! [X0,X1] :
      ( ~ lt(X1,X0)
      | ~ ssItem(X0)
      | ~ ssItem(X1)
      | ~ lt(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',clause114) ).

fof(f413,plain,
    ( ~ spl7_17
    | ~ spl7_6
    | ~ spl7_10
    | ~ spl7_11 ),
    inference(avatar_split_clause,[],[f412,f292,f287,f254,f377]) ).

fof(f377,plain,
    ( spl7_17
  <=> nil = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_17])]) ).

fof(f412,plain,
    ( nil != sF4
    | ~ spl7_6
    | ~ spl7_10
    | ~ spl7_11 ),
    inference(subsumption_resolution,[],[f411,f331]) ).

fof(f331,plain,
    ( nil != sF3
    | ~ spl7_6 ),
    inference(subsumption_resolution,[],[f330,f255]) ).

fof(f330,plain,
    ( nil != sF3
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f326,f193]) ).

fof(f326,plain,
    ( nil != sF3
    | ~ ssItem(sk6)
    | ~ ssList(nil) ),
    inference(superposition,[],[f98,f217]) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',clause98) ).

fof(f411,plain,
    ( nil != sF4
    | nil = sF3
    | ~ spl7_10
    | ~ spl7_11 ),
    inference(subsumption_resolution,[],[f410,f293]) ).

fof(f410,plain,
    ( nil != sF4
    | ~ ssList(sF3)
    | nil = sF3
    | ~ spl7_10 ),
    inference(subsumption_resolution,[],[f393,f289]) ).

fof(f393,plain,
    ( nil != sF4
    | ~ ssList(sF2)
    | ~ ssList(sF3)
    | nil = sF3 ),
    inference(superposition,[],[f119,f218]) ).

fof(f119,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',clause119) ).

fof(f398,plain,
    ( ~ spl7_3
    | spl7_18 ),
    inference(avatar_contradiction_clause,[],[f397]) ).

fof(f397,plain,
    ( $false
    | ~ spl7_3
    | spl7_18 ),
    inference(subsumption_resolution,[],[f396,f239]) ).

fof(f239,plain,
    ( nil = sk3
    | ~ spl7_3 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f237,plain,
    ( spl7_3
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).

fof(f396,plain,
    ( nil != sk3
    | spl7_18 ),
    inference(superposition,[],[f386,f220]) ).

fof(f386,plain,
    ( nil != sF5
    | spl7_18 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f384,plain,
    ( spl7_18
  <=> nil = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_18])]) ).

fof(f387,plain,
    ( spl7_17
    | ~ spl7_18
    | ~ spl7_12 ),
    inference(avatar_split_clause,[],[f382,f296,f384,f377]) ).

fof(f382,plain,
    ( nil != sF5
    | nil = sF4
    | ~ spl7_12 ),
    inference(subsumption_resolution,[],[f381,f196]) ).

fof(f381,plain,
    ( nil != sF5
    | ~ ssList(sk9)
    | nil = sF4
    | ~ spl7_12 ),
    inference(subsumption_resolution,[],[f354,f298]) ).

fof(f354,plain,
    ( nil != sF5
    | ~ ssList(sF4)
    | ~ ssList(sk9)
    | nil = sF4 ),
    inference(superposition,[],[f118,f219]) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',clause118) ).

fof(f324,plain,
    ( spl7_11
    | ~ spl7_6 ),
    inference(avatar_split_clause,[],[f323,f254,f292]) ).

fof(f323,plain,
    ( ssList(sF3)
    | ~ spl7_6 ),
    inference(subsumption_resolution,[],[f322,f193]) ).

fof(f322,plain,
    ( ssList(sF3)
    | ~ ssItem(sk6)
    | ~ spl7_6 ),
    inference(subsumption_resolution,[],[f303,f255]) ).

fof(f303,plain,
    ( ssList(sF3)
    | ~ ssList(nil)
    | ~ ssItem(sk6) ),
    inference(superposition,[],[f86,f217]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',clause86) ).

fof(f321,plain,
    ( spl7_8
    | ~ spl7_6 ),
    inference(avatar_split_clause,[],[f320,f254,f277]) ).

fof(f320,plain,
    ( ssList(sF0)
    | ~ spl7_6 ),
    inference(subsumption_resolution,[],[f319,f192]) ).

fof(f319,plain,
    ( ssList(sF0)
    | ~ ssItem(sk5)
    | ~ spl7_6 ),
    inference(subsumption_resolution,[],[f302,f255]) ).

fof(f302,plain,
    ( ssList(sF0)
    | ~ ssList(nil)
    | ~ ssItem(sk5) ),
    inference(superposition,[],[f86,f214]) ).

fof(f299,plain,
    ( ~ spl7_11
    | ~ spl7_10
    | spl7_12 ),
    inference(avatar_split_clause,[],[f270,f296,f287,f292]) ).

fof(f270,plain,
    ( ssList(sF4)
    | ~ ssList(sF2)
    | ~ ssList(sF3) ),
    inference(superposition,[],[f85,f218]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',clause85) ).

fof(f290,plain,
    ( ~ spl7_9
    | spl7_10 ),
    inference(avatar_split_clause,[],[f285,f287,f281]) ).

fof(f285,plain,
    ( ssList(sF2)
    | ~ ssList(sF1) ),
    inference(subsumption_resolution,[],[f269,f195]) ).

fof(f269,plain,
    ( ssList(sF2)
    | ~ ssList(sF1)
    | ~ ssList(sk8) ),
    inference(superposition,[],[f85,f216]) ).

fof(f284,plain,
    ( ~ spl7_8
    | spl7_9 ),
    inference(avatar_split_clause,[],[f275,f281,f277]) ).

fof(f275,plain,
    ( ssList(sF1)
    | ~ ssList(sF0) ),
    inference(subsumption_resolution,[],[f268,f194]) ).

fof(f268,plain,
    ( ssList(sF1)
    | ~ ssList(sk7)
    | ~ ssList(sF0) ),
    inference(superposition,[],[f85,f215]) ).

fof(f262,plain,
    spl7_6,
    inference(avatar_split_clause,[],[f8,f254]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',clause8) ).

fof(f251,plain,
    ( spl7_4
    | spl7_3 ),
    inference(avatar_split_clause,[],[f223,f237,f242]) ).

fof(f223,plain,
    ( nil = sk3
    | sk3 = sF6 ),
    inference(definition_folding,[],[f203,f221]) ).

fof(f203,axiom,
    ( nil = sk3
    | sk3 = cons(sk10,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',co1_18) ).

fof(f240,plain,
    ( spl7_1
    | spl7_3 ),
    inference(avatar_split_clause,[],[f200,f237,f228]) ).

fof(f200,axiom,
    ( nil = sk3
    | ssItem(sk10) ),
    file('/export/starexec/sandbox/tmp/tmp.Bde7O0ZWPa/Vampire---4.8_17033',co1_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWC306-1 : TPTP v8.1.2. Released v2.4.0.
% 0.15/0.15  % 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
% 0.16/0.37  % Computer : n008.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Fri May  3 20:27:53 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.37  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.Bde7O0ZWPa/Vampire---4.8_17033
% 0.60/0.75  % (17292)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)
% 0.60/0.75  % (17286)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)
% 0.60/0.75  % (17288)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.75  % (17287)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)
% 0.60/0.75  % (17290)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)
% 0.60/0.75  % (17289)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)
% 0.60/0.75  % (17291)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)
% 0.60/0.75  % (17293)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)
% 0.60/0.77  % (17289)Instruction limit reached!
% 0.60/0.77  % (17289)------------------------------
% 0.60/0.77  % (17289)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (17290)Instruction limit reached!
% 0.60/0.77  % (17290)------------------------------
% 0.60/0.77  % (17290)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (17289)Termination reason: Unknown
% 0.60/0.77  % (17289)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (17289)Memory used [KB]: 1691
% 0.60/0.77  % (17289)Time elapsed: 0.020 s
% 0.60/0.77  % (17289)Instructions burned: 34 (million)
% 0.60/0.77  % (17289)------------------------------
% 0.60/0.77  % (17289)------------------------------
% 0.60/0.77  % (17290)Termination reason: Unknown
% 0.60/0.77  % (17290)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (17290)Memory used [KB]: 1521
% 0.60/0.77  % (17290)Time elapsed: 0.020 s
% 0.60/0.77  % (17290)Instructions burned: 35 (million)
% 0.60/0.77  % (17290)------------------------------
% 0.60/0.77  % (17290)------------------------------
% 0.60/0.77  % (17292)Instruction limit reached!
% 0.60/0.77  % (17292)------------------------------
% 0.60/0.77  % (17292)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (17292)Termination reason: Unknown
% 0.60/0.77  % (17292)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (17292)Memory used [KB]: 2135
% 0.60/0.77  % (17292)Time elapsed: 0.023 s
% 0.60/0.77  % (17292)Instructions burned: 83 (million)
% 0.60/0.77  % (17292)------------------------------
% 0.60/0.77  % (17292)------------------------------
% 0.60/0.77  % (17286)Instruction limit reached!
% 0.60/0.77  % (17286)------------------------------
% 0.60/0.77  % (17286)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (17286)Termination reason: Unknown
% 0.60/0.77  % (17286)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (17286)Memory used [KB]: 1529
% 0.60/0.77  % (17286)Time elapsed: 0.023 s
% 0.60/0.77  % (17286)Instructions burned: 35 (million)
% 0.60/0.77  % (17286)------------------------------
% 0.60/0.77  % (17286)------------------------------
% 0.60/0.77  % (17294)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)
% 0.60/0.77  % (17295)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)
% 0.60/0.77  % (17296)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)
% 0.60/0.77  % (17297)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)
% 0.60/0.77  % (17291)Instruction limit reached!
% 0.60/0.77  % (17291)------------------------------
% 0.60/0.77  % (17291)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (17291)Termination reason: Unknown
% 0.60/0.77  % (17291)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (17291)Memory used [KB]: 1724
% 0.60/0.77  % (17291)Time elapsed: 0.028 s
% 0.60/0.77  % (17291)Instructions burned: 46 (million)
% 0.60/0.77  % (17291)------------------------------
% 0.60/0.77  % (17291)------------------------------
% 0.60/0.78  % (17293)Instruction limit reached!
% 0.60/0.78  % (17293)------------------------------
% 0.60/0.78  % (17293)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (17293)Termination reason: Unknown
% 0.60/0.78  % (17293)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (17293)Memory used [KB]: 1474
% 0.60/0.78  % (17293)Time elapsed: 0.028 s
% 0.60/0.78  % (17293)Instructions burned: 58 (million)
% 0.60/0.78  % (17293)------------------------------
% 0.60/0.78  % (17293)------------------------------
% 0.60/0.78  % (17298)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)
% 0.60/0.78  % (17299)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 (2996ds/42Mi)
% 0.60/0.78  % (17287)Instruction limit reached!
% 0.60/0.78  % (17287)------------------------------
% 0.60/0.78  % (17287)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (17287)Termination reason: Unknown
% 0.60/0.78  % (17287)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (17287)Memory used [KB]: 1871
% 0.60/0.78  % (17287)Time elapsed: 0.034 s
% 0.60/0.78  % (17287)Instructions burned: 52 (million)
% 0.60/0.78  % (17287)------------------------------
% 0.60/0.78  % (17287)------------------------------
% 0.60/0.78  % (17296)First to succeed.
% 0.60/0.78  % (17296)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17282"
% 0.60/0.79  % (17300)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 (2996ds/243Mi)
% 0.60/0.79  % (17296)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79  % (17296)------------------------------
% 0.60/0.79  % (17296)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (17296)Termination reason: Refutation
% 0.60/0.79  
% 0.60/0.79  % (17296)Memory used [KB]: 1443
% 0.60/0.79  % (17296)Time elapsed: 0.014 s
% 0.60/0.79  % (17296)Instructions burned: 40 (million)
% 0.60/0.79  % (17282)Success in time 0.398 s
% 0.60/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------