TSTP Solution File: SWC099-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC099-1 : 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 : 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 : Wed May  1 03:59:46 EDT 2024

% Result   : Unsatisfiable 0.64s 0.84s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  115 (  16 unt;   0 def)
%            Number of atoms       :  395 (  59 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  538 ( 258   ~; 264   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   24 (  22 usr;  17 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   72 (  72   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1080,plain,
    $false,
    inference(avatar_sat_refutation,[],[f259,f264,f274,f290,f292,f316,f322,f330,f342,f344,f352,f919,f925,f936,f975,f1007,f1070,f1079]) ).

fof(f1079,plain,
    spl0_53,
    inference(avatar_contradiction_clause,[],[f1076]) ).

fof(f1076,plain,
    ( $false
    | spl0_53 ),
    inference(resolution,[],[f1049,f12]) ).

fof(f12,axiom,
    ! [X0] : ssItem(skaf83(X0)),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',clause12) ).

fof(f1049,plain,
    ( ~ ssItem(skaf83(sk4))
    | spl0_53 ),
    inference(avatar_component_clause,[],[f1047]) ).

fof(f1047,plain,
    ( spl0_53
  <=> ssItem(skaf83(sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1070,plain,
    ( ~ spl0_12
    | ~ spl0_53
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f1044,f972,f1047,f313]) ).

fof(f313,plain,
    ( spl0_12
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f972,plain,
    ( spl0_45
  <=> nil = cons(skaf83(sk4),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1044,plain,
    ( ~ ssItem(skaf83(sk4))
    | ~ ssList(nil)
    | ~ spl0_45 ),
    inference(trivial_inequality_removal,[],[f1038]) ).

fof(f1038,plain,
    ( nil != nil
    | ~ ssItem(skaf83(sk4))
    | ~ ssList(nil)
    | ~ spl0_45 ),
    inference(superposition,[],[f99,f974]) ).

fof(f974,plain,
    ( nil = cons(skaf83(sk4),nil)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f972]) ).

fof(f99,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) != X1
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',clause99) ).

fof(f1007,plain,
    spl0_17,
    inference(avatar_contradiction_clause,[],[f1006]) ).

fof(f1006,plain,
    ( $false
    | spl0_17 ),
    inference(resolution,[],[f513,f200]) ).

fof(f200,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',co1_5) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',co1_2) ).

fof(f513,plain,
    ( ~ ssList(sk4)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f511,plain,
    ( spl0_17
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f975,plain,
    ( spl0_3
    | ~ spl0_17
    | spl0_45
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f970,f934,f972,f511,f243]) ).

fof(f243,plain,
    ( spl0_3
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f934,plain,
    ( spl0_42
  <=> ! [X0,X1] :
        ( ~ frontsegP(sk4,app(cons(X0,nil),X1))
        | ~ ssList(X1)
        | ~ ssList(app(cons(X0,nil),X1))
        | nil = cons(X0,nil)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f970,plain,
    ( nil = cons(skaf83(sk4),nil)
    | ~ ssList(sk4)
    | nil = sk4
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f962]) ).

fof(f962,plain,
    ( nil = cons(skaf83(sk4),nil)
    | ~ ssList(sk4)
    | nil = sk4
    | ~ ssList(sk4)
    | ~ spl0_42 ),
    inference(resolution,[],[f960,f61]) ).

fof(f61,axiom,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',clause61) ).

fof(f960,plain,
    ( ! [X0] :
        ( ~ frontsegP(sk4,X0)
        | nil = cons(skaf83(X0),nil)
        | ~ ssList(X0)
        | nil = X0 )
    | ~ spl0_42 ),
    inference(resolution,[],[f959,f12]) ).

fof(f959,plain,
    ( ! [X0] :
        ( ~ ssItem(skaf83(X0))
        | ~ ssList(X0)
        | nil = cons(skaf83(X0),nil)
        | ~ frontsegP(sk4,X0)
        | nil = X0 )
    | ~ spl0_42 ),
    inference(resolution,[],[f952,f13]) ).

fof(f13,axiom,
    ! [X0] : ssList(skaf82(X0)),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',clause13) ).

fof(f952,plain,
    ( ! [X0] :
        ( ~ ssList(skaf82(X0))
        | ~ frontsegP(sk4,X0)
        | ~ ssList(X0)
        | nil = cons(skaf83(X0),nil)
        | ~ ssItem(skaf83(X0))
        | nil = X0 )
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f951]) ).

fof(f951,plain,
    ( ! [X0] :
        ( ~ frontsegP(sk4,X0)
        | ~ ssList(skaf82(X0))
        | ~ ssList(X0)
        | nil = cons(skaf83(X0),nil)
        | ~ ssItem(skaf83(X0))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl0_42 ),
    inference(superposition,[],[f943,f109]) ).

fof(f109,axiom,
    ! [X0] :
      ( cons(skaf83(X0),skaf82(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',clause109) ).

fof(f943,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(sk4,cons(X0,X1))
        | ~ ssList(X1)
        | ~ ssList(cons(X0,X1))
        | nil = cons(X0,nil)
        | ~ ssItem(X0) )
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f938]) ).

fof(f938,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(sk4,cons(X0,X1))
        | ~ ssList(X1)
        | ~ ssList(cons(X0,X1))
        | nil = cons(X0,nil)
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl0_42 ),
    inference(superposition,[],[f935,f120]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',clause120) ).

fof(f935,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(sk4,app(cons(X0,nil),X1))
        | ~ ssList(X1)
        | ~ ssList(app(cons(X0,nil),X1))
        | nil = cons(X0,nil)
        | ~ ssItem(X0) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f936,plain,
    ( ~ spl0_12
    | spl0_42
    | ~ spl0_41 ),
    inference(avatar_split_clause,[],[f932,f923,f934,f313]) ).

fof(f923,plain,
    ( spl0_41
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | ~ frontsegP(sk4,X1)
        | ~ frontsegP(X1,cons(X0,nil))
        | nil = cons(X0,nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f932,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(sk4,app(cons(X0,nil),X1))
        | ~ ssItem(X0)
        | nil = cons(X0,nil)
        | ~ ssList(app(cons(X0,nil),X1))
        | ~ ssList(X1)
        | ~ ssList(nil) )
    | ~ spl0_41 ),
    inference(duplicate_literal_removal,[],[f931]) ).

fof(f931,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(sk4,app(cons(X0,nil),X1))
        | ~ ssItem(X0)
        | nil = cons(X0,nil)
        | ~ ssList(app(cons(X0,nil),X1))
        | ~ ssList(X1)
        | ~ ssList(nil)
        | ~ ssItem(X0) )
    | ~ spl0_41 ),
    inference(resolution,[],[f927,f86]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',clause86) ).

fof(f927,plain,
    ( ! [X0,X1] :
        ( ~ ssList(cons(X0,nil))
        | ~ frontsegP(sk4,app(cons(X0,nil),X1))
        | ~ ssItem(X0)
        | nil = cons(X0,nil)
        | ~ ssList(app(cons(X0,nil),X1))
        | ~ ssList(X1) )
    | ~ spl0_41 ),
    inference(resolution,[],[f924,f445]) ).

fof(f445,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f438]) ).

fof(f438,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(resolution,[],[f216,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',clause85) ).

fof(f216,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X0,X1))
      | frontsegP(app(X0,X1),X0)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f144]) ).

fof(f144,axiom,
    ! [X2,X0,X1] :
      ( frontsegP(X2,X0)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(X0,X1) != X2 ),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',clause144) ).

fof(f924,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(X1,cons(X0,nil))
        | ~ ssList(X1)
        | ~ frontsegP(sk4,X1)
        | ~ ssItem(X0)
        | nil = cons(X0,nil) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f925,plain,
    ( ~ spl0_12
    | spl0_41
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f921,f917,f923,f313]) ).

fof(f917,plain,
    ( spl0_40
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssItem(X1)
        | nil = cons(X1,nil)
        | ~ frontsegP(sk4,X0)
        | ~ frontsegP(X0,cons(X1,nil))
        | ~ ssList(cons(X1,nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f921,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | nil = cons(X0,nil)
        | ~ frontsegP(sk4,X1)
        | ~ frontsegP(X1,cons(X0,nil))
        | ~ ssList(X1)
        | ~ ssList(nil) )
    | ~ spl0_40 ),
    inference(duplicate_literal_removal,[],[f920]) ).

fof(f920,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | nil = cons(X0,nil)
        | ~ frontsegP(sk4,X1)
        | ~ frontsegP(X1,cons(X0,nil))
        | ~ ssList(X1)
        | ~ ssList(nil)
        | ~ ssItem(X0) )
    | ~ spl0_40 ),
    inference(resolution,[],[f918,f86]) ).

fof(f918,plain,
    ( ! [X0,X1] :
        ( ~ ssList(cons(X1,nil))
        | ~ ssItem(X1)
        | nil = cons(X1,nil)
        | ~ frontsegP(sk4,X0)
        | ~ frontsegP(X0,cons(X1,nil))
        | ~ ssList(X0) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f919,plain,
    ( spl0_40
    | ~ spl0_17
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f910,f328,f511,f917]) ).

fof(f328,plain,
    ( spl0_13
  <=> ! [X0] :
        ( ~ segmentP(X0,nil)
        | nil = X0
        | ~ ssList(X0)
        | ~ equalelemsP(X0)
        | ~ frontsegP(sk4,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f910,plain,
    ( ! [X0,X1] :
        ( ~ ssList(sk4)
        | ~ ssList(X0)
        | ~ ssList(cons(X1,nil))
        | ~ frontsegP(X0,cons(X1,nil))
        | ~ frontsegP(sk4,X0)
        | nil = cons(X1,nil)
        | ~ ssItem(X1) )
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f903]) ).

fof(f903,plain,
    ( ! [X0,X1] :
        ( ~ ssList(sk4)
        | ~ ssList(X0)
        | ~ ssList(cons(X1,nil))
        | ~ frontsegP(X0,cons(X1,nil))
        | ~ frontsegP(sk4,X0)
        | nil = cons(X1,nil)
        | ~ ssList(cons(X1,nil))
        | ~ ssItem(X1) )
    | ~ spl0_13 ),
    inference(resolution,[],[f154,f377]) ).

fof(f377,plain,
    ( ! [X0] :
        ( ~ frontsegP(sk4,cons(X0,nil))
        | nil = cons(X0,nil)
        | ~ ssList(cons(X0,nil))
        | ~ ssItem(X0) )
    | ~ spl0_13 ),
    inference(resolution,[],[f374,f64]) ).

fof(f64,axiom,
    ! [X0] :
      ( equalelemsP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',clause64) ).

fof(f374,plain,
    ( ! [X0] :
        ( ~ equalelemsP(X0)
        | ~ ssList(X0)
        | nil = X0
        | ~ frontsegP(sk4,X0) )
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f370]) ).

fof(f370,plain,
    ( ! [X0] :
        ( nil = X0
        | ~ ssList(X0)
        | ~ equalelemsP(X0)
        | ~ frontsegP(sk4,X0)
        | ~ ssList(X0) )
    | ~ spl0_13 ),
    inference(resolution,[],[f329,f56]) ).

fof(f56,axiom,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',clause56) ).

fof(f329,plain,
    ( ! [X0] :
        ( ~ segmentP(X0,nil)
        | nil = X0
        | ~ ssList(X0)
        | ~ equalelemsP(X0)
        | ~ frontsegP(sk4,X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f154,axiom,
    ! [X2,X0,X1] :
      ( frontsegP(X0,X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ frontsegP(X1,X2)
      | ~ frontsegP(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',clause154) ).

fof(f352,plain,
    ( spl0_8
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f349,f247,f243,f267]) ).

fof(f267,plain,
    ( spl0_8
  <=> neq(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f247,plain,
    ( spl0_4
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f349,plain,
    ( neq(nil,nil)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f249,f245]) ).

fof(f245,plain,
    ( nil = sk4
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f249,plain,
    ( neq(sk4,nil)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f247]) ).

fof(f344,plain,
    spl0_12,
    inference(avatar_contradiction_clause,[],[f343]) ).

fof(f343,plain,
    ( $false
    | spl0_12 ),
    inference(resolution,[],[f315,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',clause8) ).

fof(f315,plain,
    ( ~ ssList(nil)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f342,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f341]) ).

fof(f341,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f258,f192]) ).

fof(f192,axiom,
    frontsegP(sk4,sk3),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',co1_7) ).

fof(f258,plain,
    ( ~ frontsegP(sk4,sk3)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl0_6
  <=> frontsegP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f330,plain,
    ( ~ spl0_12
    | spl0_13
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f326,f261,f328,f313]) ).

fof(f261,plain,
    ( spl0_7
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f326,plain,
    ( ! [X0] :
        ( ~ segmentP(X0,nil)
        | ~ frontsegP(sk4,X0)
        | ~ equalelemsP(X0)
        | ~ ssList(X0)
        | nil = X0
        | ~ ssList(nil) )
    | ~ spl0_7 ),
    inference(duplicate_literal_removal,[],[f325]) ).

fof(f325,plain,
    ( ! [X0] :
        ( ~ segmentP(X0,nil)
        | ~ frontsegP(sk4,X0)
        | ~ equalelemsP(X0)
        | ~ ssList(X0)
        | nil = X0
        | ~ ssList(nil)
        | ~ ssList(X0) )
    | ~ spl0_7 ),
    inference(resolution,[],[f319,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',clause100) ).

fof(f319,plain,
    ( ! [X0] :
        ( ~ neq(nil,X0)
        | ~ segmentP(X0,nil)
        | ~ frontsegP(sk4,X0)
        | ~ equalelemsP(X0)
        | ~ ssList(X0) )
    | ~ spl0_7 ),
    inference(superposition,[],[f194,f262]) ).

fof(f262,plain,
    ( nil = sk3
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f194,axiom,
    ! [X6] :
      ( ~ neq(sk3,X6)
      | ~ segmentP(X6,sk3)
      | ~ frontsegP(sk4,X6)
      | ~ equalelemsP(X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',co1_9) ).

fof(f322,plain,
    ( spl0_9
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f317,f261,f271]) ).

fof(f271,plain,
    ( spl0_9
  <=> frontsegP(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f317,plain,
    ( frontsegP(sk4,nil)
    | ~ spl0_7 ),
    inference(superposition,[],[f192,f262]) ).

fof(f316,plain,
    ( ~ spl0_12
    | ~ spl0_10
    | spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f304,f252,f261,f287,f313]) ).

fof(f287,plain,
    ( spl0_10
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f252,plain,
    ( spl0_5
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f304,plain,
    ( nil = sk3
    | ~ ssList(sk3)
    | ~ ssList(nil)
    | spl0_5 ),
    inference(resolution,[],[f100,f254]) ).

fof(f254,plain,
    ( ~ neq(sk3,nil)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f292,plain,
    spl0_10,
    inference(avatar_contradiction_clause,[],[f291]) ).

fof(f291,plain,
    ( $false
    | spl0_10 ),
    inference(resolution,[],[f289,f199]) ).

fof(f199,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',co1_1) ).

fof(f289,plain,
    ( ~ ssList(sk3)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f290,plain,
    ( spl0_7
    | ~ spl0_10
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f281,f243,f287,f261]) ).

fof(f281,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_3 ),
    inference(resolution,[],[f84,f275]) ).

fof(f275,plain,
    ( frontsegP(nil,sk3)
    | ~ spl0_3 ),
    inference(superposition,[],[f192,f245]) ).

fof(f84,axiom,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',clause84) ).

fof(f274,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f265,f271,f267,f261]) ).

fof(f265,plain,
    ( ~ frontsegP(sk4,nil)
    | ~ neq(nil,nil)
    | nil != sk3 ),
    inference(inner_rewriting,[],[f204]) ).

fof(f204,plain,
    ( ~ frontsegP(sk4,sk3)
    | ~ neq(sk3,nil)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f198,f190,f191,f191,f191]) ).

fof(f198,axiom,
    ( ~ frontsegP(sk2,sk1)
    | ~ neq(sk1,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',co1_13) ).

fof(f264,plain,
    ( ~ spl0_7
    | spl0_4 ),
    inference(avatar_split_clause,[],[f203,f247,f261]) ).

fof(f203,plain,
    ( neq(sk4,nil)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f197,f190,f191]) ).

fof(f197,axiom,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',co1_12) ).

fof(f259,plain,
    ( spl0_3
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f202,f256,f252,f243]) ).

fof(f202,plain,
    ( ~ frontsegP(sk4,sk3)
    | ~ neq(sk3,nil)
    | nil = sk4 ),
    inference(definition_unfolding,[],[f196,f190,f191,f191,f190]) ).

fof(f196,axiom,
    ( ~ frontsegP(sk2,sk1)
    | ~ neq(sk1,nil)
    | nil = sk2 ),
    file('/export/starexec/sandbox/tmp/tmp.rnCYqHICfX/Vampire---4.8_30477',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWC099-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12  % 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
% 0.11/0.32  % Computer : n018.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 18:33:13 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.33  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.rnCYqHICfX/Vampire---4.8_30477
% 0.64/0.82  % (30596)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.64/0.82  % (30597)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.64/0.82  % (30598)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.64/0.82  % (30594)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.64/0.82  % (30599)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.64/0.82  % (30595)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.64/0.82  % (30601)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.64/0.82  % (30600)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.64/0.82  % (30601)Refutation not found, incomplete strategy% (30601)------------------------------
% 0.64/0.82  % (30601)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82  % (30601)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.82  
% 0.64/0.82  % (30601)Memory used [KB]: 1175
% 0.64/0.82  % (30601)Time elapsed: 0.003 s
% 0.64/0.82  % (30601)Instructions burned: 4 (million)
% 0.64/0.82  % (30601)------------------------------
% 0.64/0.82  % (30601)------------------------------
% 0.64/0.82  % (30594)Refutation not found, incomplete strategy% (30594)------------------------------
% 0.64/0.82  % (30594)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82  % (30597)Refutation not found, incomplete strategy% (30597)------------------------------
% 0.64/0.82  % (30597)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.82  % (30597)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.82  
% 0.64/0.82  % (30597)Memory used [KB]: 1208
% 0.64/0.82  % (30597)Time elapsed: 0.006 s
% 0.64/0.82  % (30597)Instructions burned: 9 (million)
% 0.64/0.82  % (30597)------------------------------
% 0.64/0.82  % (30597)------------------------------
% 0.64/0.82  % (30594)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.82  
% 0.64/0.82  % (30594)Memory used [KB]: 1207
% 0.64/0.82  % (30594)Time elapsed: 0.007 s
% 0.64/0.82  % (30594)Instructions burned: 9 (million)
% 0.64/0.82  % (30594)------------------------------
% 0.64/0.82  % (30594)------------------------------
% 0.64/0.82  % (30602)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.64/0.83  % (30603)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)
% 0.64/0.83  % (30604)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)
% 0.64/0.83  % (30602)Refutation not found, incomplete strategy% (30602)------------------------------
% 0.64/0.83  % (30602)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83  % (30602)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.83  
% 0.64/0.83  % (30602)Memory used [KB]: 1205
% 0.64/0.83  % (30602)Time elapsed: 0.006 s
% 0.64/0.83  % (30602)Instructions burned: 9 (million)
% 0.64/0.83  % (30602)------------------------------
% 0.64/0.83  % (30602)------------------------------
% 0.64/0.83  % (30605)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)
% 0.64/0.83  % (30598)Instruction limit reached!
% 0.64/0.83  % (30598)------------------------------
% 0.64/0.83  % (30598)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.83  % (30598)Termination reason: Unknown
% 0.64/0.83  % (30598)Termination phase: Saturation
% 0.64/0.83  
% 0.64/0.83  % (30598)Memory used [KB]: 1518
% 0.64/0.83  % (30598)Time elapsed: 0.019 s
% 0.64/0.83  % (30598)Instructions burned: 36 (million)
% 0.64/0.83  % (30598)------------------------------
% 0.64/0.83  % (30598)------------------------------
% 0.64/0.84  % (30599)Instruction limit reached!
% 0.64/0.84  % (30599)------------------------------
% 0.64/0.84  % (30599)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.84  % (30599)Termination reason: Unknown
% 0.64/0.84  % (30599)Termination phase: Saturation
% 0.64/0.84  
% 0.64/0.84  % (30599)Memory used [KB]: 1427
% 0.64/0.84  % (30599)Time elapsed: 0.021 s
% 0.64/0.84  % (30599)Instructions burned: 45 (million)
% 0.64/0.84  % (30599)------------------------------
% 0.64/0.84  % (30599)------------------------------
% 0.64/0.84  % (30595)First to succeed.
% 0.64/0.84  % (30606)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)
% 0.64/0.84  % (30595)Refutation found. Thanks to Tanya!
% 0.64/0.84  % SZS status Unsatisfiable for Vampire---4
% 0.64/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.64/0.84  % (30595)------------------------------
% 0.64/0.84  % (30595)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.64/0.84  % (30595)Termination reason: Refutation
% 0.64/0.84  
% 0.64/0.84  % (30595)Memory used [KB]: 1435
% 0.64/0.84  % (30595)Time elapsed: 0.023 s
% 0.64/0.84  % (30595)Instructions burned: 36 (million)
% 0.64/0.84  % (30595)------------------------------
% 0.64/0.84  % (30595)------------------------------
% 0.64/0.84  % (30587)Success in time 0.502 s
% 0.64/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------