TSTP Solution File: SWC377-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC377-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 04:38:32 EDT 2024

% Result   : Unsatisfiable 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  129 (  11 unt;   0 def)
%            Number of atoms       :  462 (  29 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  627 ( 294   ~; 320   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  14 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :   43 (  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f989,plain,
    $false,
    inference(avatar_sat_refutation,[],[f227,f228,f237,f246,f251,f256,f261,f271,f296,f311,f318,f322,f957,f962,f970,f981,f983,f988]) ).

fof(f988,plain,
    ( spl3_1
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f987]) ).

fof(f987,plain,
    ( $false
    | spl3_1
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f986,f221]) ).

fof(f221,plain,
    ( ~ memberP(sk4,sk5)
    | spl3_1 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f220,plain,
    ( spl3_1
  <=> memberP(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f986,plain,
    ( memberP(sk4,sk5)
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f985,f192]) ).

fof(f192,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f985,plain,
    ( ~ ssItem(sk5)
    | memberP(sk4,sk5)
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_12
    | ~ spl3_25 ),
    inference(resolution,[],[f952,f430]) ).

fof(f430,plain,
    ( ! [X0] :
        ( ~ memberP(sk7,X0)
        | ~ ssItem(X0)
        | memberP(sk4,X0) )
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f429,f260]) ).

fof(f260,plain,
    ( sk4 = sF2
    | ~ spl3_9 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f258,plain,
    ( spl3_9
  <=> sk4 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).

fof(f429,plain,
    ( ! [X0] :
        ( memberP(sF2,X0)
        | ~ ssItem(X0)
        | ~ memberP(sk7,X0) )
    | ~ spl3_7
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f428,f282]) ).

fof(f282,plain,
    ( ssList(sF0)
    | ~ spl3_12 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f281,plain,
    ( spl3_12
  <=> ssList(sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).

fof(f428,plain,
    ( ! [X0] :
        ( memberP(sF2,X0)
        | ~ ssItem(X0)
        | ~ ssList(sF0)
        | ~ memberP(sk7,X0) )
    | ~ spl3_7 ),
    inference(subsumption_resolution,[],[f420,f250]) ).

fof(f250,plain,
    ( ssList(sk7)
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f248,plain,
    ( spl3_7
  <=> ssList(sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).

fof(f420,plain,
    ! [X0] :
      ( memberP(sF2,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk7)
      | ~ ssList(sF0)
      | ~ memberP(sk7,X0) ),
    inference(superposition,[],[f140,f213]) ).

fof(f213,plain,
    app(sk7,sF0) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f140,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f952,plain,
    ( memberP(sk7,sk5)
    | ~ spl3_25 ),
    inference(avatar_component_clause,[],[f950]) ).

fof(f950,plain,
    ( spl3_25
  <=> memberP(sk7,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).

fof(f983,plain,
    ( spl3_26
    | spl3_25
    | ~ spl3_2
    | ~ spl3_7
    | ~ spl3_8
    | ~ spl3_12 ),
    inference(avatar_split_clause,[],[f982,f281,f253,f248,f224,f950,f954]) ).

fof(f954,plain,
    ( spl3_26
  <=> memberP(sF0,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).

fof(f224,plain,
    ( spl3_2
  <=> memberP(sk3,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f253,plain,
    ( spl3_8
  <=> sk3 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).

fof(f982,plain,
    ( memberP(sk7,sk5)
    | memberP(sF0,sk5)
    | ~ spl3_2
    | ~ spl3_7
    | ~ spl3_8
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f971,f192]) ).

fof(f971,plain,
    ( memberP(sk7,sk5)
    | ~ ssItem(sk5)
    | memberP(sF0,sk5)
    | ~ spl3_2
    | ~ spl3_7
    | ~ spl3_8
    | ~ spl3_12 ),
    inference(resolution,[],[f226,f682]) ).

fof(f682,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | memberP(sk7,X0)
        | ~ ssItem(X0)
        | memberP(sF0,X0) )
    | ~ spl3_7
    | ~ spl3_8
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f681,f255]) ).

fof(f255,plain,
    ( sk3 = sF1
    | ~ spl3_8 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f681,plain,
    ( ! [X0] :
        ( ~ memberP(sF1,X0)
        | memberP(sk7,X0)
        | ~ ssItem(X0)
        | memberP(sF0,X0) )
    | ~ spl3_7
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f680,f250]) ).

fof(f680,plain,
    ( ! [X0] :
        ( ~ memberP(sF1,X0)
        | memberP(sk7,X0)
        | ~ ssItem(X0)
        | ~ ssList(sk7)
        | memberP(sF0,X0) )
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f664,f282]) ).

fof(f664,plain,
    ! [X0] :
      ( ~ memberP(sF1,X0)
      | memberP(sk7,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF0)
      | ~ ssList(sk7)
      | memberP(sF0,X0) ),
    inference(superposition,[],[f158,f211]) ).

fof(f211,plain,
    app(sF0,sk7) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

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/benchmark/theBenchmark.p',clause158) ).

fof(f226,plain,
    ( memberP(sk3,sk5)
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f981,plain,
    ( spl3_1
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f980]) ).

fof(f980,plain,
    ( $false
    | spl3_1
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f979,f221]) ).

fof(f979,plain,
    ( memberP(sk4,sk5)
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f976,f192]) ).

fof(f976,plain,
    ( ~ ssItem(sk5)
    | memberP(sk4,sk5)
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(resolution,[],[f956,f449]) ).

fof(f449,plain,
    ( ! [X0] :
        ( ~ memberP(sF0,X0)
        | ~ ssItem(X0)
        | memberP(sk4,X0) )
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f448,f260]) ).

fof(f448,plain,
    ( ! [X0] :
        ( memberP(sF2,X0)
        | ~ ssItem(X0)
        | ~ memberP(sF0,X0) )
    | ~ spl3_7
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f447,f282]) ).

fof(f447,plain,
    ( ! [X0] :
        ( memberP(sF2,X0)
        | ~ ssItem(X0)
        | ~ ssList(sF0)
        | ~ memberP(sF0,X0) )
    | ~ spl3_7 ),
    inference(subsumption_resolution,[],[f439,f250]) ).

fof(f439,plain,
    ! [X0] :
      ( memberP(sF2,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk7)
      | ~ ssList(sF0)
      | ~ memberP(sF0,X0) ),
    inference(superposition,[],[f141,f213]) ).

fof(f141,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X2,X0),X1)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f956,plain,
    ( memberP(sF0,sk5)
    | ~ spl3_26 ),
    inference(avatar_component_clause,[],[f954]) ).

fof(f970,plain,
    ( spl3_2
    | ~ spl3_7
    | ~ spl3_8
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(avatar_contradiction_clause,[],[f969]) ).

fof(f969,plain,
    ( $false
    | spl3_2
    | ~ spl3_7
    | ~ spl3_8
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f968,f225]) ).

fof(f225,plain,
    ( ~ memberP(sk3,sk5)
    | spl3_2 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f968,plain,
    ( memberP(sk3,sk5)
    | ~ spl3_7
    | ~ spl3_8
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(subsumption_resolution,[],[f966,f192]) ).

fof(f966,plain,
    ( ~ ssItem(sk5)
    | memberP(sk3,sk5)
    | ~ spl3_7
    | ~ spl3_8
    | ~ spl3_12
    | ~ spl3_26 ),
    inference(resolution,[],[f956,f433]) ).

fof(f433,plain,
    ( ! [X0] :
        ( ~ memberP(sF0,X0)
        | ~ ssItem(X0)
        | memberP(sk3,X0) )
    | ~ spl3_7
    | ~ spl3_8
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f432,f255]) ).

fof(f432,plain,
    ( ! [X0] :
        ( memberP(sF1,X0)
        | ~ ssItem(X0)
        | ~ memberP(sF0,X0) )
    | ~ spl3_7
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f431,f250]) ).

fof(f431,plain,
    ( ! [X0] :
        ( memberP(sF1,X0)
        | ~ ssItem(X0)
        | ~ ssList(sk7)
        | ~ memberP(sF0,X0) )
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f421,f282]) ).

fof(f421,plain,
    ! [X0] :
      ( memberP(sF1,X0)
      | ~ ssItem(X0)
      | ~ ssList(sF0)
      | ~ ssList(sk7)
      | ~ memberP(sF0,X0) ),
    inference(superposition,[],[f140,f211]) ).

fof(f962,plain,
    ( spl3_2
    | ~ spl3_5
    | ~ spl3_7
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(avatar_contradiction_clause,[],[f961]) ).

fof(f961,plain,
    ( $false
    | spl3_2
    | ~ spl3_5
    | ~ spl3_7
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f960,f225]) ).

fof(f960,plain,
    ( memberP(sk3,sk5)
    | ~ spl3_5
    | ~ spl3_7
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(subsumption_resolution,[],[f958,f192]) ).

fof(f958,plain,
    ( ~ ssItem(sk5)
    | memberP(sk3,sk5)
    | ~ spl3_5
    | ~ spl3_7
    | ~ spl3_8
    | ~ spl3_25 ),
    inference(resolution,[],[f952,f411]) ).

fof(f411,plain,
    ( ! [X0] :
        ( ~ memberP(sk7,X0)
        | ~ ssItem(X0)
        | memberP(sk3,X0) )
    | ~ spl3_5
    | ~ spl3_7
    | ~ spl3_8 ),
    inference(subsumption_resolution,[],[f410,f250]) ).

fof(f410,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssItem(X0)
        | ~ ssList(sk7)
        | ~ memberP(sk7,X0) )
    | ~ spl3_5
    | ~ spl3_7
    | ~ spl3_8 ),
    inference(subsumption_resolution,[],[f405,f241]) ).

fof(f241,plain,
    ( ssItem(sk6)
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f239,plain,
    ( spl3_5
  <=> ssItem(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).

fof(f405,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssItem(X0)
        | ~ ssItem(sk6)
        | ~ ssList(sk7)
        | ~ memberP(sk7,X0) )
    | ~ spl3_5
    | ~ spl3_7
    | ~ spl3_8 ),
    inference(superposition,[],[f139,f398]) ).

fof(f398,plain,
    ( sk3 = cons(sk6,sk7)
    | ~ spl3_5
    | ~ spl3_7
    | ~ spl3_8 ),
    inference(forward_demodulation,[],[f397,f255]) ).

fof(f397,plain,
    ( sF1 = cons(sk6,sk7)
    | ~ spl3_5
    | ~ spl3_7 ),
    inference(subsumption_resolution,[],[f387,f250]) ).

fof(f387,plain,
    ( sF1 = cons(sk6,sk7)
    | ~ ssList(sk7)
    | ~ spl3_5 ),
    inference(superposition,[],[f385,f211]) ).

fof(f385,plain,
    ( ! [X0] :
        ( cons(sk6,X0) = app(sF0,X0)
        | ~ ssList(X0) )
    | ~ spl3_5 ),
    inference(subsumption_resolution,[],[f378,f241]) ).

fof(f378,plain,
    ! [X0] :
      ( cons(sk6,X0) = app(sF0,X0)
      | ~ ssList(X0)
      | ~ ssItem(sk6) ),
    inference(superposition,[],[f120,f210]) ).

fof(f210,plain,
    cons(sk6,nil) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f139,axiom,
    ! [X2,X0,X1] :
      ( memberP(cons(X2,X0),X1)
      | ~ ssItem(X1)
      | ~ ssItem(X2)
      | ~ ssList(X0)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f957,plain,
    ( spl3_25
    | spl3_26
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_12 ),
    inference(avatar_split_clause,[],[f948,f281,f258,f248,f220,f954,f950]) ).

fof(f948,plain,
    ( memberP(sF0,sk5)
    | memberP(sk7,sk5)
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f946,f192]) ).

fof(f946,plain,
    ( memberP(sF0,sk5)
    | ~ ssItem(sk5)
    | memberP(sk7,sk5)
    | ~ spl3_1
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_12 ),
    inference(resolution,[],[f679,f222]) ).

fof(f222,plain,
    ( memberP(sk4,sk5)
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f679,plain,
    ( ! [X0] :
        ( ~ memberP(sk4,X0)
        | memberP(sF0,X0)
        | ~ ssItem(X0)
        | memberP(sk7,X0) )
    | ~ spl3_7
    | ~ spl3_9
    | ~ spl3_12 ),
    inference(forward_demodulation,[],[f678,f260]) ).

fof(f678,plain,
    ( ! [X0] :
        ( ~ memberP(sF2,X0)
        | memberP(sF0,X0)
        | ~ ssItem(X0)
        | memberP(sk7,X0) )
    | ~ spl3_7
    | ~ spl3_12 ),
    inference(subsumption_resolution,[],[f677,f282]) ).

fof(f677,plain,
    ( ! [X0] :
        ( ~ memberP(sF2,X0)
        | memberP(sF0,X0)
        | ~ ssItem(X0)
        | ~ ssList(sF0)
        | memberP(sk7,X0) )
    | ~ spl3_7 ),
    inference(subsumption_resolution,[],[f663,f250]) ).

fof(f663,plain,
    ! [X0] :
      ( ~ memberP(sF2,X0)
      | memberP(sF0,X0)
      | ~ ssItem(X0)
      | ~ ssList(sk7)
      | ~ ssList(sF0)
      | memberP(sk7,X0) ),
    inference(superposition,[],[f158,f213]) ).

fof(f322,plain,
    ( ~ spl3_1
    | spl3_2
    | ~ spl3_3
    | ~ spl3_4 ),
    inference(avatar_contradiction_clause,[],[f321]) ).

fof(f321,plain,
    ( $false
    | ~ spl3_1
    | spl3_2
    | ~ spl3_3
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f320,f319]) ).

fof(f319,plain,
    ( ~ memberP(nil,sk5)
    | spl3_2
    | ~ spl3_3 ),
    inference(forward_demodulation,[],[f225,f232]) ).

fof(f232,plain,
    ( nil = sk3
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f230,plain,
    ( spl3_3
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).

fof(f320,plain,
    ( memberP(nil,sk5)
    | ~ spl3_1
    | ~ spl3_4 ),
    inference(forward_demodulation,[],[f222,f235]) ).

fof(f235,plain,
    ( nil = sk4
    | ~ spl3_4 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl3_4
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).

fof(f318,plain,
    ( spl3_1
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_4 ),
    inference(avatar_contradiction_clause,[],[f317]) ).

fof(f317,plain,
    ( $false
    | spl3_1
    | ~ spl3_2
    | ~ spl3_3
    | ~ spl3_4 ),
    inference(subsumption_resolution,[],[f315,f312]) ).

fof(f312,plain,
    ( memberP(nil,sk5)
    | ~ spl3_2
    | ~ spl3_3 ),
    inference(superposition,[],[f226,f232]) ).

fof(f315,plain,
    ( ~ memberP(nil,sk5)
    | spl3_1
    | ~ spl3_4 ),
    inference(superposition,[],[f221,f235]) ).

fof(f311,plain,
    ( spl3_4
    | spl3_6
    | ~ spl3_10 ),
    inference(avatar_split_clause,[],[f310,f263,f243,f234]) ).

fof(f243,plain,
    ( spl3_6
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).

fof(f263,plain,
    ( spl3_10
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).

fof(f310,plain,
    ( nil = sk4
    | spl3_6
    | ~ spl3_10 ),
    inference(subsumption_resolution,[],[f309,f264]) ).

fof(f264,plain,
    ( ssList(nil)
    | ~ spl3_10 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f309,plain,
    ( nil = sk4
    | ~ ssList(nil)
    | spl3_6 ),
    inference(subsumption_resolution,[],[f300,f201]) ).

fof(f201,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

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

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

fof(f300,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | ~ ssList(nil)
    | spl3_6 ),
    inference(resolution,[],[f100,f245]) ).

fof(f245,plain,
    ( ~ neq(sk4,nil)
    | spl3_6 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f296,plain,
    ( ~ spl3_5
    | spl3_12
    | ~ spl3_10 ),
    inference(avatar_split_clause,[],[f295,f263,f281,f239]) ).

fof(f295,plain,
    ( ssList(sF0)
    | ~ ssItem(sk6)
    | ~ spl3_10 ),
    inference(subsumption_resolution,[],[f294,f264]) ).

fof(f294,plain,
    ( ssList(sF0)
    | ~ ssList(nil)
    | ~ ssItem(sk6) ),
    inference(superposition,[],[f86,f210]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f271,plain,
    spl3_10,
    inference(avatar_split_clause,[],[f8,f263]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f261,plain,
    ( spl3_9
    | ~ spl3_6 ),
    inference(avatar_split_clause,[],[f214,f243,f258]) ).

fof(f214,plain,
    ( ~ neq(sk4,nil)
    | sk4 = sF2 ),
    inference(definition_folding,[],[f199,f213,f210]) ).

fof(f199,axiom,
    ( ~ neq(sk4,nil)
    | sk4 = app(sk7,cons(sk6,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f256,plain,
    ( spl3_8
    | ~ spl3_6 ),
    inference(avatar_split_clause,[],[f212,f243,f253]) ).

fof(f212,plain,
    ( ~ neq(sk4,nil)
    | sk3 = sF1 ),
    inference(definition_folding,[],[f198,f211,f210]) ).

fof(f198,axiom,
    ( ~ neq(sk4,nil)
    | sk3 = app(cons(sk6,nil),sk7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f251,plain,
    ( spl3_7
    | ~ spl3_6 ),
    inference(avatar_split_clause,[],[f197,f243,f248]) ).

fof(f197,axiom,
    ( ~ neq(sk4,nil)
    | ssList(sk7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f246,plain,
    ( spl3_5
    | ~ spl3_6 ),
    inference(avatar_split_clause,[],[f196,f243,f239]) ).

fof(f196,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f237,plain,
    ( spl3_3
    | ~ spl3_4 ),
    inference(avatar_split_clause,[],[f195,f234,f230]) ).

fof(f195,axiom,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f228,plain,
    ( ~ spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f203,f224,f220]) ).

fof(f203,plain,
    ( ~ memberP(sk3,sk5)
    | ~ memberP(sk4,sk5) ),
    inference(definition_unfolding,[],[f194,f191,f190]) ).

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

fof(f194,axiom,
    ( ~ memberP(sk1,sk5)
    | ~ memberP(sk2,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f227,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f202,f224,f220]) ).

fof(f202,plain,
    ( memberP(sk3,sk5)
    | memberP(sk4,sk5) ),
    inference(definition_unfolding,[],[f193,f191,f190]) ).

fof(f193,axiom,
    ( memberP(sk1,sk5)
    | memberP(sk2,sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWC377-1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.14  % 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
% 0.14/0.36  % Computer : n018.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun May 19 03:06:53 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36  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/benchmark/theBenchmark.p
% 0.54/0.76  % (32525)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.60/0.76  % (32518)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.60/0.76  % (32521)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.60/0.76  % (32519)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.60/0.76  % (32523)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.60/0.76  % (32522)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.60/0.76  % (32520)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.60/0.76  % (32524)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 theBenchmark for (2996ds/83Mi)
% 0.60/0.76  % (32525)Refutation not found, incomplete strategy% (32525)------------------------------
% 0.60/0.76  % (32525)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (32525)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (32525)Memory used [KB]: 1199
% 0.60/0.76  % (32525)Time elapsed: 0.002 s
% 0.60/0.76  % (32525)Instructions burned: 4 (million)
% 0.60/0.76  % (32525)------------------------------
% 0.60/0.76  % (32525)------------------------------
% 0.60/0.76  % (32526)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 theBenchmark for (2996ds/55Mi)
% 0.60/0.77  % (32518)Refutation not found, incomplete strategy% (32518)------------------------------
% 0.60/0.77  % (32518)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (32518)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (32518)Memory used [KB]: 1254
% 0.60/0.77  % (32518)Time elapsed: 0.011 s
% 0.60/0.77  % (32518)Instructions burned: 15 (million)
% 0.60/0.77  % (32522)Refutation not found, incomplete strategy% (32522)------------------------------
% 0.60/0.77  % (32522)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (32522)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (32522)Memory used [KB]: 1393
% 0.60/0.77  % (32522)Time elapsed: 0.011 s
% 0.60/0.77  % (32522)Instructions burned: 17 (million)
% 0.60/0.77  % (32518)------------------------------
% 0.60/0.77  % (32518)------------------------------
% 0.60/0.77  % (32522)------------------------------
% 0.60/0.77  % (32522)------------------------------
% 0.60/0.77  % (32527)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 theBenchmark for (2995ds/50Mi)
% 0.60/0.77  % (32528)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.60/0.78  % (32521)Instruction limit reached!
% 0.60/0.78  % (32521)------------------------------
% 0.60/0.78  % (32521)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (32521)Termination reason: Unknown
% 0.60/0.78  % (32521)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (32521)Memory used [KB]: 1741
% 0.60/0.78  % (32521)Time elapsed: 0.020 s
% 0.60/0.78  % (32521)Instructions burned: 34 (million)
% 0.60/0.78  % (32521)------------------------------
% 0.60/0.78  % (32521)------------------------------
% 0.60/0.78  % (32526)Instruction limit reached!
% 0.60/0.78  % (32526)------------------------------
% 0.60/0.78  % (32526)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (32526)Termination reason: Unknown
% 0.60/0.78  % (32526)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (32526)Memory used [KB]: 2130
% 0.60/0.78  % (32526)Time elapsed: 0.018 s
% 0.60/0.78  % (32526)Instructions burned: 57 (million)
% 0.60/0.78  % (32526)------------------------------
% 0.60/0.78  % (32526)------------------------------
% 0.60/0.78  % (32529)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 theBenchmark for (2995ds/52Mi)
% 0.60/0.78  % (32530)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 theBenchmark for (2995ds/518Mi)
% 0.60/0.78  % (32523)Instruction limit reached!
% 0.60/0.78  % (32523)------------------------------
% 0.60/0.78  % (32523)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (32523)Termination reason: Unknown
% 0.60/0.78  % (32523)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (32523)Memory used [KB]: 1577
% 0.60/0.78  % (32523)Time elapsed: 0.027 s
% 0.60/0.78  % (32523)Instructions burned: 45 (million)
% 0.60/0.78  % (32523)------------------------------
% 0.60/0.78  % (32523)------------------------------
% 0.60/0.79  % (32531)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 theBenchmark for (2995ds/42Mi)
% 0.60/0.79  % (32528)First to succeed.
% 0.60/0.79  % (32530)Also succeeded, but the first one will report.
% 0.60/0.79  % (32519)Instruction limit reached!
% 0.60/0.79  % (32519)------------------------------
% 0.60/0.79  % (32519)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (32519)Termination reason: Unknown
% 0.60/0.79  % (32519)Termination phase: Saturation
% 0.60/0.79  
% 0.60/0.79  % (32519)Memory used [KB]: 1939
% 0.60/0.79  % (32519)Time elapsed: 0.035 s
% 0.60/0.79  % (32519)Instructions burned: 52 (million)
% 0.60/0.79  % (32519)------------------------------
% 0.60/0.79  % (32519)------------------------------
% 0.60/0.79  % (32528)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32517"
% 0.60/0.79  % (32528)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Unsatisfiable for theBenchmark
% 0.60/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.80  % (32528)------------------------------
% 0.60/0.80  % (32528)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (32528)Termination reason: Refutation
% 0.60/0.80  
% 0.60/0.80  % (32528)Memory used [KB]: 1400
% 0.60/0.80  % (32528)Time elapsed: 0.021 s
% 0.60/0.80  % (32528)Instructions burned: 34 (million)
% 0.60/0.80  % (32517)Success in time 0.423 s
% 0.60/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------