TSTP Solution File: SWC298-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC298-1 : 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 : n002.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 09:50:06 EDT 2024

% Result   : Unsatisfiable 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  146 (  22 unt;   0 def)
%            Number of atoms       :  474 (  60 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  646 ( 318   ~; 316   |;   0   &)
%                                         (  12 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  13 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  16 con; 0-2 aty)
%            Number of variables   :   50 (  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1328,plain,
    $false,
    inference(avatar_sat_refutation,[],[f242,f257,f269,f291,f297,f306,f328,f331,f394,f405,f420,f1231,f1327]) ).

fof(f1327,plain,
    ( ~ spl7_1
    | ~ spl7_4
    | ~ spl7_7
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13
    | spl7_25 ),
    inference(avatar_contradiction_clause,[],[f1326]) ).

fof(f1326,plain,
    ( $false
    | ~ spl7_1
    | ~ spl7_4
    | ~ spl7_7
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13
    | spl7_25 ),
    inference(subsumption_resolution,[],[f1322,f479]) ).

fof(f479,plain,
    ( sk5 != sk6
    | spl7_25 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f478,plain,
    ( spl7_25
  <=> sk5 = sk6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_25])]) ).

fof(f1322,plain,
    ( sk5 = sk6
    | ~ spl7_1
    | ~ spl7_4
    | ~ spl7_7
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13 ),
    inference(superposition,[],[f1081,f1304]) ).

fof(f1304,plain,
    ( sk5 = sk10
    | ~ spl7_1
    | ~ spl7_4
    | ~ spl7_7
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13 ),
    inference(subsumption_resolution,[],[f1303,f192]) ).

fof(f192,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',co1_7) ).

fof(f1303,plain,
    ( ~ ssItem(sk5)
    | sk5 = sk10
    | ~ spl7_1
    | ~ spl7_4
    | ~ spl7_7
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13 ),
    inference(resolution,[],[f1295,f1006]) ).

fof(f1006,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssItem(X0)
        | sk10 = X0 )
    | ~ spl7_1
    | ~ spl7_4
    | ~ spl7_7 ),
    inference(forward_demodulation,[],[f1005,f246]) ).

fof(f246,plain,
    ( sk3 = sF6
    | ~ spl7_4 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f244,plain,
    ( spl7_4
  <=> sk3 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).

fof(f1005,plain,
    ( ! [X0] :
        ( ~ memberP(sF6,X0)
        | ~ ssItem(X0)
        | sk10 = X0 )
    | ~ spl7_1
    | ~ spl7_7 ),
    inference(subsumption_resolution,[],[f1004,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',clause71) ).

fof(f1004,plain,
    ( ! [X0] :
        ( ~ memberP(sF6,X0)
        | memberP(nil,X0)
        | ~ ssItem(X0)
        | sk10 = X0 )
    | ~ spl7_1
    | ~ spl7_7 ),
    inference(subsumption_resolution,[],[f1003,f262]) ).

fof(f262,plain,
    ( ssList(nil)
    | ~ spl7_7 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl7_7
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).

fof(f1003,plain,
    ( ! [X0] :
        ( ~ memberP(sF6,X0)
        | memberP(nil,X0)
        | ~ ssItem(X0)
        | ~ ssList(nil)
        | sk10 = X0 )
    | ~ spl7_1 ),
    inference(subsumption_resolution,[],[f993,f232]) ).

fof(f232,plain,
    ( ssItem(sk10)
    | ~ spl7_1 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f230,plain,
    ( spl7_1
  <=> ssItem(sk10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

fof(f993,plain,
    ! [X0] :
      ( ~ memberP(sF6,X0)
      | memberP(nil,X0)
      | ~ ssItem(X0)
      | ~ ssItem(sk10)
      | ~ ssList(nil)
      | sk10 = X0 ),
    inference(superposition,[],[f161,f223]) ).

fof(f223,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/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',clause161) ).

fof(f1295,plain,
    ( memberP(sk3,sk5)
    | ~ spl7_7
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13 ),
    inference(subsumption_resolution,[],[f1294,f192]) ).

fof(f1294,plain,
    ( ~ ssItem(sk5)
    | memberP(sk3,sk5)
    | ~ spl7_7
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13 ),
    inference(resolution,[],[f1293,f524]) ).

fof(f524,plain,
    ( ! [X0] :
        ( ~ memberP(sF4,X0)
        | ~ ssItem(X0)
        | memberP(sk3,X0) )
    | ~ spl7_13 ),
    inference(forward_demodulation,[],[f523,f222]) ).

fof(f222,plain,
    sk3 = sF5,
    inference(definition_folding,[],[f209,f221,f220,f219,f218,f217,f216]) ).

fof(f216,plain,
    cons(sk5,nil) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f217,plain,
    app(sk7,sF0) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f218,plain,
    app(sF1,sk8) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f219,plain,
    cons(sk6,nil) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f220,plain,
    app(sF2,sF3) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

fof(f221,plain,
    app(sF4,sk9) = sF5,
    introduced(function_definition,[new_symbols(definition,[sF5])]) ).

fof(f209,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/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',co1_6) ).

fof(f197,axiom,
    sk1 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
    file('/export/starexec/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',co1_12) ).

fof(f523,plain,
    ( ! [X0] :
        ( memberP(sF5,X0)
        | ~ ssItem(X0)
        | ~ memberP(sF4,X0) )
    | ~ spl7_13 ),
    inference(subsumption_resolution,[],[f522,f196]) ).

fof(f196,axiom,
    ssList(sk9),
    file('/export/starexec/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',co1_11) ).

fof(f522,plain,
    ( ! [X0] :
        ( memberP(sF5,X0)
        | ~ ssItem(X0)
        | ~ ssList(sk9)
        | ~ memberP(sF4,X0) )
    | ~ spl7_13 ),
    inference(subsumption_resolution,[],[f506,f305]) ).

fof(f305,plain,
    ( ssList(sF4)
    | ~ spl7_13 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f303,plain,
    ( spl7_13
  <=> ssList(sF4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_13])]) ).

fof(f506,plain,
    ! [X0] :
      ( memberP(sF5,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF4)
      | ~ ssList(sk9)
      | ~ memberP(sF4,X0) ),
    inference(superposition,[],[f140,f221]) ).

fof(f140,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',clause140) ).

fof(f1293,plain,
    ( memberP(sF4,sk5)
    | ~ spl7_7
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(subsumption_resolution,[],[f1292,f192]) ).

fof(f1292,plain,
    ( ~ ssItem(sk5)
    | memberP(sF4,sk5)
    | ~ spl7_7
    | ~ spl7_9
    | ~ spl7_10
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(resolution,[],[f1291,f521]) ).

fof(f521,plain,
    ( ! [X0] :
        ( ~ memberP(sF2,X0)
        | ~ ssItem(X0)
        | memberP(sF4,X0) )
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(subsumption_resolution,[],[f520,f300]) ).

fof(f300,plain,
    ( ssList(sF3)
    | ~ spl7_12 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f299,plain,
    ( spl7_12
  <=> ssList(sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_12])]) ).

fof(f520,plain,
    ( ! [X0] :
        ( memberP(sF4,X0)
        | ~ ssItem(X0)
        | ~ ssList(sF3)
        | ~ memberP(sF2,X0) )
    | ~ spl7_11 ),
    inference(subsumption_resolution,[],[f505,f296]) ).

fof(f296,plain,
    ( ssList(sF2)
    | ~ spl7_11 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f294,plain,
    ( spl7_11
  <=> ssList(sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).

fof(f505,plain,
    ! [X0] :
      ( memberP(sF4,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF2)
      | ~ ssList(sF3)
      | ~ memberP(sF2,X0) ),
    inference(superposition,[],[f140,f220]) ).

fof(f1291,plain,
    ( memberP(sF2,sk5)
    | ~ spl7_7
    | ~ spl7_9
    | ~ spl7_10 ),
    inference(subsumption_resolution,[],[f1290,f192]) ).

fof(f1290,plain,
    ( ~ ssItem(sk5)
    | memberP(sF2,sk5)
    | ~ spl7_7
    | ~ spl7_9
    | ~ spl7_10 ),
    inference(resolution,[],[f1289,f518]) ).

fof(f518,plain,
    ( ! [X0] :
        ( ~ memberP(sF1,X0)
        | ~ ssItem(X0)
        | memberP(sF2,X0) )
    | ~ spl7_10 ),
    inference(subsumption_resolution,[],[f517,f195]) ).

fof(f195,axiom,
    ssList(sk8),
    file('/export/starexec/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',co1_10) ).

fof(f517,plain,
    ( ! [X0] :
        ( memberP(sF2,X0)
        | ~ ssItem(X0)
        | ~ ssList(sk8)
        | ~ memberP(sF1,X0) )
    | ~ spl7_10 ),
    inference(subsumption_resolution,[],[f504,f290]) ).

fof(f290,plain,
    ( ssList(sF1)
    | ~ spl7_10 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f288,plain,
    ( spl7_10
  <=> ssList(sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).

fof(f504,plain,
    ! [X0] :
      ( memberP(sF2,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF1)
      | ~ ssList(sk8)
      | ~ memberP(sF1,X0) ),
    inference(superposition,[],[f140,f218]) ).

fof(f1289,plain,
    ( memberP(sF1,sk5)
    | ~ spl7_7
    | ~ spl7_9 ),
    inference(subsumption_resolution,[],[f1288,f192]) ).

fof(f1288,plain,
    ( ~ ssItem(sk5)
    | memberP(sF1,sk5)
    | ~ spl7_7
    | ~ spl7_9 ),
    inference(resolution,[],[f543,f346]) ).

fof(f346,plain,
    ( memberP(sF0,sk5)
    | ~ spl7_7 ),
    inference(subsumption_resolution,[],[f345,f262]) ).

fof(f345,plain,
    ( memberP(sF0,sk5)
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f342,f192]) ).

fof(f342,plain,
    ( memberP(sF0,sk5)
    | ~ ssItem(sk5)
    | ~ ssList(nil) ),
    inference(superposition,[],[f226,f216]) ).

fof(f226,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2) ),
    inference(duplicate_literal_removal,[],[f215]) ).

fof(f215,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.mvZKiA8qtY/Vampire---4.8_26638',clause138) ).

fof(f543,plain,
    ( ! [X0] :
        ( ~ memberP(sF0,X0)
        | ~ ssItem(X0)
        | memberP(sF1,X0) )
    | ~ spl7_9 ),
    inference(subsumption_resolution,[],[f542,f285]) ).

fof(f285,plain,
    ( ssList(sF0)
    | ~ spl7_9 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f284,plain,
    ( spl7_9
  <=> ssList(sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).

fof(f542,plain,
    ! [X0] :
      ( memberP(sF1,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF0)
      | ~ memberP(sF0,X0) ),
    inference(subsumption_resolution,[],[f530,f194]) ).

fof(f194,axiom,
    ssList(sk7),
    file('/export/starexec/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',co1_9) ).

fof(f530,plain,
    ! [X0] :
      ( memberP(sF1,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk7)
      | ~ ssList(sF0)
      | ~ memberP(sF0,X0) ),
    inference(superposition,[],[f141,f217]) ).

fof(f141,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X2,X0),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',clause141) ).

fof(f1081,plain,
    ( sk6 = sk10
    | ~ spl7_1
    | ~ spl7_4
    | ~ spl7_7
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13 ),
    inference(subsumption_resolution,[],[f1079,f193]) ).

fof(f193,axiom,
    ssItem(sk6),
    file('/export/starexec/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',co1_8) ).

fof(f1079,plain,
    ( ~ ssItem(sk6)
    | sk6 = sk10
    | ~ spl7_1
    | ~ spl7_4
    | ~ spl7_7
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13 ),
    inference(resolution,[],[f1006,f555]) ).

fof(f555,plain,
    ( memberP(sk3,sk6)
    | ~ spl7_7
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13 ),
    inference(subsumption_resolution,[],[f554,f193]) ).

fof(f554,plain,
    ( ~ ssItem(sk6)
    | memberP(sk3,sk6)
    | ~ spl7_7
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13 ),
    inference(resolution,[],[f553,f524]) ).

fof(f553,plain,
    ( memberP(sF4,sk6)
    | ~ spl7_7
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(subsumption_resolution,[],[f552,f193]) ).

fof(f552,plain,
    ( ~ ssItem(sk6)
    | memberP(sF4,sk6)
    | ~ spl7_7
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(resolution,[],[f548,f348]) ).

fof(f348,plain,
    ( memberP(sF3,sk6)
    | ~ spl7_7 ),
    inference(subsumption_resolution,[],[f347,f262]) ).

fof(f347,plain,
    ( memberP(sF3,sk6)
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f343,f193]) ).

fof(f343,plain,
    ( memberP(sF3,sk6)
    | ~ ssItem(sk6)
    | ~ ssList(nil) ),
    inference(superposition,[],[f226,f219]) ).

fof(f548,plain,
    ( ! [X0] :
        ( ~ memberP(sF3,X0)
        | ~ ssItem(X0)
        | memberP(sF4,X0) )
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(subsumption_resolution,[],[f547,f300]) ).

fof(f547,plain,
    ( ! [X0] :
        ( memberP(sF4,X0)
        | ~ ssItem(X0)
        | ~ ssList(sF3)
        | ~ memberP(sF3,X0) )
    | ~ spl7_11 ),
    inference(subsumption_resolution,[],[f533,f296]) ).

fof(f533,plain,
    ! [X0] :
      ( memberP(sF4,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF2)
      | ~ ssList(sF3)
      | ~ memberP(sF3,X0) ),
    inference(superposition,[],[f141,f220]) ).

fof(f1231,plain,
    ~ spl7_25,
    inference(avatar_contradiction_clause,[],[f1230]) ).

fof(f1230,plain,
    ( $false
    | ~ spl7_25 ),
    inference(subsumption_resolution,[],[f1218,f1214]) ).

fof(f1214,plain,
    ( lt(sk5,sk5)
    | ~ spl7_25 ),
    inference(superposition,[],[f198,f480]) ).

fof(f480,plain,
    ( sk5 = sk6
    | ~ spl7_25 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f198,axiom,
    lt(sk6,sk5),
    file('/export/starexec/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',co1_13) ).

fof(f1218,plain,
    ( ~ lt(sk5,sk5)
    | ~ spl7_25 ),
    inference(superposition,[],[f354,f480]) ).

fof(f354,plain,
    ~ lt(sk5,sk6),
    inference(subsumption_resolution,[],[f353,f193]) ).

fof(f353,plain,
    ( ~ ssItem(sk6)
    | ~ lt(sk5,sk6) ),
    inference(subsumption_resolution,[],[f352,f192]) ).

fof(f352,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/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',clause114) ).

fof(f420,plain,
    ( ~ spl7_18
    | ~ spl7_7
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(avatar_split_clause,[],[f419,f299,f294,f261,f384]) ).

fof(f384,plain,
    ( spl7_18
  <=> nil = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_18])]) ).

fof(f419,plain,
    ( nil != sF4
    | ~ spl7_7
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(subsumption_resolution,[],[f418,f338]) ).

fof(f338,plain,
    ( nil != sF3
    | ~ spl7_7 ),
    inference(subsumption_resolution,[],[f337,f262]) ).

fof(f337,plain,
    ( nil != sF3
    | ~ ssList(nil) ),
    inference(subsumption_resolution,[],[f333,f193]) ).

fof(f333,plain,
    ( nil != sF3
    | ~ ssItem(sk6)
    | ~ ssList(nil) ),
    inference(superposition,[],[f98,f219]) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',clause98) ).

fof(f418,plain,
    ( nil != sF4
    | nil = sF3
    | ~ spl7_11
    | ~ spl7_12 ),
    inference(subsumption_resolution,[],[f417,f300]) ).

fof(f417,plain,
    ( nil != sF4
    | ~ ssList(sF3)
    | nil = sF3
    | ~ spl7_11 ),
    inference(subsumption_resolution,[],[f400,f296]) ).

fof(f400,plain,
    ( nil != sF4
    | ~ ssList(sF2)
    | ~ ssList(sF3)
    | nil = sF3 ),
    inference(superposition,[],[f119,f220]) ).

fof(f119,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',clause119) ).

fof(f405,plain,
    ( ~ spl7_3
    | spl7_19 ),
    inference(avatar_contradiction_clause,[],[f404]) ).

fof(f404,plain,
    ( $false
    | ~ spl7_3
    | spl7_19 ),
    inference(subsumption_resolution,[],[f403,f241]) ).

fof(f241,plain,
    ( nil = sk3
    | ~ spl7_3 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f239,plain,
    ( spl7_3
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).

fof(f403,plain,
    ( nil != sk3
    | spl7_19 ),
    inference(superposition,[],[f393,f222]) ).

fof(f393,plain,
    ( nil != sF5
    | spl7_19 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f391,plain,
    ( spl7_19
  <=> nil = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_19])]) ).

fof(f394,plain,
    ( spl7_18
    | ~ spl7_19
    | ~ spl7_13 ),
    inference(avatar_split_clause,[],[f389,f303,f391,f384]) ).

fof(f389,plain,
    ( nil != sF5
    | nil = sF4
    | ~ spl7_13 ),
    inference(subsumption_resolution,[],[f388,f196]) ).

fof(f388,plain,
    ( nil != sF5
    | ~ ssList(sk9)
    | nil = sF4
    | ~ spl7_13 ),
    inference(subsumption_resolution,[],[f361,f305]) ).

fof(f361,plain,
    ( nil != sF5
    | ~ ssList(sF4)
    | ~ ssList(sk9)
    | nil = sF4 ),
    inference(superposition,[],[f118,f221]) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',clause118) ).

fof(f331,plain,
    ( spl7_12
    | ~ spl7_7 ),
    inference(avatar_split_clause,[],[f330,f261,f299]) ).

fof(f330,plain,
    ( ssList(sF3)
    | ~ spl7_7 ),
    inference(subsumption_resolution,[],[f329,f193]) ).

fof(f329,plain,
    ( ssList(sF3)
    | ~ ssItem(sk6)
    | ~ spl7_7 ),
    inference(subsumption_resolution,[],[f310,f262]) ).

fof(f310,plain,
    ( ssList(sF3)
    | ~ ssList(nil)
    | ~ ssItem(sk6) ),
    inference(superposition,[],[f86,f219]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',clause86) ).

fof(f328,plain,
    ( spl7_9
    | ~ spl7_7 ),
    inference(avatar_split_clause,[],[f327,f261,f284]) ).

fof(f327,plain,
    ( ssList(sF0)
    | ~ spl7_7 ),
    inference(subsumption_resolution,[],[f326,f192]) ).

fof(f326,plain,
    ( ssList(sF0)
    | ~ ssItem(sk5)
    | ~ spl7_7 ),
    inference(subsumption_resolution,[],[f309,f262]) ).

fof(f309,plain,
    ( ssList(sF0)
    | ~ ssList(nil)
    | ~ ssItem(sk5) ),
    inference(superposition,[],[f86,f216]) ).

fof(f306,plain,
    ( ~ spl7_12
    | ~ spl7_11
    | spl7_13 ),
    inference(avatar_split_clause,[],[f277,f303,f294,f299]) ).

fof(f277,plain,
    ( ssList(sF4)
    | ~ ssList(sF2)
    | ~ ssList(sF3) ),
    inference(superposition,[],[f85,f220]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',clause85) ).

fof(f297,plain,
    ( ~ spl7_10
    | spl7_11 ),
    inference(avatar_split_clause,[],[f292,f294,f288]) ).

fof(f292,plain,
    ( ssList(sF2)
    | ~ ssList(sF1) ),
    inference(subsumption_resolution,[],[f276,f195]) ).

fof(f276,plain,
    ( ssList(sF2)
    | ~ ssList(sF1)
    | ~ ssList(sk8) ),
    inference(superposition,[],[f85,f218]) ).

fof(f291,plain,
    ( ~ spl7_9
    | spl7_10 ),
    inference(avatar_split_clause,[],[f282,f288,f284]) ).

fof(f282,plain,
    ( ssList(sF1)
    | ~ ssList(sF0) ),
    inference(subsumption_resolution,[],[f275,f194]) ).

fof(f275,plain,
    ( ssList(sF1)
    | ~ ssList(sk7)
    | ~ ssList(sF0) ),
    inference(superposition,[],[f85,f217]) ).

fof(f269,plain,
    spl7_7,
    inference(avatar_split_clause,[],[f8,f261]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',clause8) ).

fof(f257,plain,
    ( spl7_4
    | spl7_3 ),
    inference(avatar_split_clause,[],[f225,f239,f244]) ).

fof(f225,plain,
    ( nil = sk3
    | sk3 = sF6 ),
    inference(definition_folding,[],[f204,f223]) ).

fof(f204,axiom,
    ( nil = sk3
    | sk3 = cons(sk10,nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',co1_19) ).

fof(f242,plain,
    ( spl7_1
    | spl7_3 ),
    inference(avatar_split_clause,[],[f200,f239,f230]) ).

fof(f200,axiom,
    ( nil = sk3
    | ssItem(sk10) ),
    file('/export/starexec/sandbox2/tmp/tmp.mvZKiA8qtY/Vampire---4.8_26638',co1_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWC298-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n002.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 20:30:53 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.36  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.mvZKiA8qtY/Vampire---4.8_26638
% 0.59/0.75  % (26821)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)
% 0.59/0.75  % (26822)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)
% 0.59/0.75  % (26823)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (26824)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)
% 0.59/0.75  % (26825)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)
% 0.59/0.75  % (26826)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)
% 0.59/0.75  % (26827)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)
% 0.59/0.75  % (26828)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)
% 0.59/0.76  % (26821)Instruction limit reached!
% 0.59/0.76  % (26821)------------------------------
% 0.59/0.76  % (26821)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (26821)Termination reason: Unknown
% 0.59/0.76  % (26821)Termination phase: Saturation
% 0.59/0.76  
% 0.59/0.76  % (26821)Memory used [KB]: 1760
% 0.59/0.76  % (26821)Time elapsed: 0.014 s
% 0.59/0.76  % (26821)Instructions burned: 35 (million)
% 0.59/0.76  % (26821)------------------------------
% 0.59/0.76  % (26821)------------------------------
% 0.61/0.76  % (26836)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)
% 0.61/0.77  % (26828)Instruction limit reached!
% 0.61/0.77  % (26828)------------------------------
% 0.61/0.77  % (26828)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (26828)Termination reason: Unknown
% 0.61/0.77  % (26828)Termination phase: Saturation
% 0.61/0.77  
% 0.61/0.77  % (26828)Memory used [KB]: 1485
% 0.61/0.77  % (26828)Time elapsed: 0.016 s
% 0.61/0.77  % (26828)Instructions burned: 59 (million)
% 0.61/0.77  % (26828)------------------------------
% 0.61/0.77  % (26828)------------------------------
% 0.61/0.77  % (26824)Instruction limit reached!
% 0.61/0.77  % (26824)------------------------------
% 0.61/0.77  % (26824)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (26824)Termination reason: Unknown
% 0.61/0.77  % (26824)Termination phase: Saturation
% 0.61/0.77  
% 0.61/0.77  % (26824)Memory used [KB]: 1703
% 0.61/0.77  % (26824)Time elapsed: 0.020 s
% 0.61/0.77  % (26824)Instructions burned: 34 (million)
% 0.61/0.77  % (26824)------------------------------
% 0.61/0.77  % (26824)------------------------------
% 0.61/0.77  % (26825)Instruction limit reached!
% 0.61/0.77  % (26825)------------------------------
% 0.61/0.77  % (26825)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (26825)Termination reason: Unknown
% 0.61/0.77  % (26825)Termination phase: Saturation
% 0.61/0.77  
% 0.61/0.77  % (26825)Memory used [KB]: 1578
% 0.61/0.77  % (26825)Time elapsed: 0.020 s
% 0.61/0.77  % (26825)Instructions burned: 34 (million)
% 0.61/0.77  % (26825)------------------------------
% 0.61/0.77  % (26825)------------------------------
% 0.61/0.77  % (26840)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)
% 0.61/0.77  % (26841)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)
% 0.61/0.77  % (26842)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)
% 0.61/0.78  % (26826)Instruction limit reached!
% 0.61/0.78  % (26826)------------------------------
% 0.61/0.78  % (26826)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (26826)Termination reason: Unknown
% 0.61/0.78  % (26826)Termination phase: Saturation
% 0.61/0.78  
% 0.61/0.78  % (26826)Memory used [KB]: 1660
% 0.61/0.78  % (26826)Time elapsed: 0.028 s
% 0.61/0.78  % (26826)Instructions burned: 46 (million)
% 0.61/0.78  % (26826)------------------------------
% 0.61/0.78  % (26826)------------------------------
% 0.61/0.78  % (26836)Instruction limit reached!
% 0.61/0.78  % (26836)------------------------------
% 0.61/0.78  % (26836)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (26836)Termination reason: Unknown
% 0.61/0.78  % (26836)Termination phase: Saturation
% 0.61/0.78  
% 0.61/0.78  % (26836)Memory used [KB]: 2144
% 0.61/0.78  % (26836)Time elapsed: 0.037 s
% 0.61/0.78  % (26836)Instructions burned: 56 (million)
% 0.61/0.78  % (26836)------------------------------
% 0.61/0.78  % (26836)------------------------------
% 0.61/0.78  % (26846)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)
% 0.61/0.78  % (26848)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)
% 0.61/0.78  % (26822)Instruction limit reached!
% 0.61/0.78  % (26822)------------------------------
% 0.61/0.78  % (26822)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (26822)Termination reason: Unknown
% 0.61/0.78  % (26822)Termination phase: Saturation
% 0.61/0.78  
% 0.61/0.78  % (26822)Memory used [KB]: 1904
% 0.61/0.78  % (26822)Time elapsed: 0.035 s
% 0.61/0.78  % (26822)Instructions burned: 51 (million)
% 0.61/0.78  % (26822)------------------------------
% 0.61/0.78  % (26822)------------------------------
% 0.61/0.78  % (26840)Instruction limit reached!
% 0.61/0.78  % (26840)------------------------------
% 0.61/0.78  % (26840)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (26840)Termination reason: Unknown
% 0.61/0.78  % (26840)Termination phase: Saturation
% 0.61/0.78  
% 0.61/0.78  % (26840)Memory used [KB]: 1679
% 0.61/0.78  % (26840)Time elapsed: 0.015 s
% 0.61/0.78  % (26840)Instructions burned: 50 (million)
% 0.61/0.78  % (26840)------------------------------
% 0.61/0.78  % (26840)------------------------------
% 0.61/0.79  % (26827)Instruction limit reached!
% 0.61/0.79  % (26827)------------------------------
% 0.61/0.79  % (26827)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (26852)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)
% 0.61/0.79  % (26827)Termination reason: Unknown
% 0.61/0.79  % (26827)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (26827)Memory used [KB]: 2144
% 0.61/0.79  % (26827)Time elapsed: 0.039 s
% 0.61/0.79  % (26827)Instructions burned: 84 (million)
% 0.61/0.79  % (26827)------------------------------
% 0.61/0.79  % (26827)------------------------------
% 0.61/0.79  % (26851)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)
% 0.61/0.79  % (26848)Instruction limit reached!
% 0.61/0.79  % (26848)------------------------------
% 0.61/0.79  % (26848)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (26848)Termination reason: Unknown
% 0.61/0.79  % (26848)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (26848)Memory used [KB]: 1479
% 0.61/0.79  % (26848)Time elapsed: 0.011 s
% 0.61/0.79  % (26848)Instructions burned: 45 (million)
% 0.61/0.79  % (26848)------------------------------
% 0.61/0.79  % (26848)------------------------------
% 0.61/0.79  % (26855)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)
% 0.61/0.79  % (26857)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)
% 0.61/0.79  % (26841)First to succeed.
% 0.61/0.80  % (26823)Instruction limit reached!
% 0.61/0.80  % (26823)------------------------------
% 0.61/0.80  % (26823)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (26823)Termination reason: Unknown
% 0.61/0.80  % (26823)Termination phase: Saturation
% 0.61/0.80  
% 0.61/0.80  % (26823)Memory used [KB]: 1863
% 0.61/0.80  % (26823)Time elapsed: 0.048 s
% 0.61/0.80  % (26823)Instructions burned: 78 (million)
% 0.61/0.80  % (26823)------------------------------
% 0.61/0.80  % (26823)------------------------------
% 0.61/0.80  % (26841)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26803"
% 0.61/0.80  % (26841)Refutation found. Thanks to Tanya!
% 0.61/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80  % (26841)------------------------------
% 0.61/0.80  % (26841)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (26841)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (26841)Memory used [KB]: 1462
% 0.61/0.80  % (26841)Time elapsed: 0.026 s
% 0.61/0.80  % (26841)Instructions burned: 42 (million)
% 0.61/0.80  % (26803)Success in time 0.434 s
% 0.61/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------