TSTP Solution File: SWC333-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC333-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n004.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 : Thu Aug 31 20:58:31 EDT 2023

% Result   : Unsatisfiable 0.22s 0.45s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   50
% Syntax   : Number of formulae    :  111 (  11 unt;   0 def)
%            Number of atoms       :  357 (  29 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  453 ( 207   ~; 216   |;   0   &)
%                                         (  30 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   37 (  35 usr;  31 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-2 aty)
%            Number of variables   :   44 (;  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f396,plain,
    $false,
    inference(avatar_sat_refutation,[],[f249,f254,f259,f264,f269,f285,f289,f298,f303,f305,f307,f311,f319,f324,f326,f334,f338,f347,f352,f360,f364,f373,f378,f383,f387,f395]) ).

fof(f395,plain,
    ( ~ spl0_29
    | spl0_30 ),
    inference(avatar_split_clause,[],[f381,f393,f389]) ).

fof(f389,plain,
    ( spl0_29
  <=> ssItem(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f393,plain,
    ( spl0_30
  <=> ! [X1] :
        ( ~ ssList(X1)
        | sk3 = X1
        | ~ ssItem(X1)
        | ~ segmentP(sk4,X1)
        | ~ segmentP(X1,sk3)
        | ~ totalorderedP(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f381,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ totalorderedP(X1)
      | ~ segmentP(X1,sk3)
      | ~ segmentP(sk4,X1)
      | ~ ssItem(X1)
      | sk3 = X1
      | ~ ssItem(sk3) ),
    inference(resolution,[],[f194,f102]) ).

fof(f102,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssItem(X0)
      | X0 = X1
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',clause102) ).

fof(f194,axiom,
    ! [X6] :
      ( ~ neq(sk3,X6)
      | ~ ssList(X6)
      | ~ totalorderedP(X6)
      | ~ segmentP(X6,sk3)
      | ~ segmentP(sk4,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',co1_9) ).

fof(f387,plain,
    ( ~ spl0_9
    | spl0_28 ),
    inference(avatar_split_clause,[],[f382,f385,f278]) ).

fof(f278,plain,
    ( spl0_9
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f385,plain,
    ( spl0_28
  <=> ! [X0] :
        ( ~ ssList(X0)
        | sk3 = X0
        | ~ segmentP(sk4,X0)
        | ~ segmentP(X0,sk3)
        | ~ totalorderedP(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f382,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ totalorderedP(X0)
      | ~ segmentP(X0,sk3)
      | ~ segmentP(sk4,X0)
      | sk3 = X0
      | ~ ssList(sk3) ),
    inference(duplicate_literal_removal,[],[f380]) ).

fof(f380,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ totalorderedP(X0)
      | ~ segmentP(X0,sk3)
      | ~ segmentP(sk4,X0)
      | ~ ssList(X0)
      | sk3 = X0
      | ~ ssList(sk3) ),
    inference(resolution,[],[f194,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X0)
      | X0 = X1
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',clause100) ).

fof(f383,plain,
    ( ~ spl0_7
    | ~ spl0_6
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f379,f256,f251,f242,f261,f266]) ).

fof(f266,plain,
    ( spl0_7
  <=> segmentP(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f261,plain,
    ( spl0_6
  <=> segmentP(sk5,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f242,plain,
    ( spl0_2
  <=> totalorderedP(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f251,plain,
    ( spl0_4
  <=> ssList(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f256,plain,
    ( spl0_5
  <=> neq(sk3,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f379,plain,
    ( ~ ssList(sk5)
    | ~ totalorderedP(sk5)
    | ~ segmentP(sk5,sk3)
    | ~ segmentP(sk4,sk5)
    | ~ spl0_5 ),
    inference(resolution,[],[f194,f258]) ).

fof(f258,plain,
    ( neq(sk3,sk5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f378,plain,
    ( spl0_27
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f356,f266,f282,f251,f375]) ).

fof(f375,plain,
    ( spl0_27
  <=> sk4 = app(app(skaf47(sk4,sk5),sk5),skaf48(sk5,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f282,plain,
    ( spl0_10
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f356,plain,
    ( ~ ssList(sk4)
    | ~ ssList(sk5)
    | sk4 = app(app(skaf47(sk4,sk5),sk5),skaf48(sk5,sk4))
    | ~ spl0_7 ),
    inference(resolution,[],[f268,f168]) ).

fof(f168,axiom,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',clause168) ).

fof(f268,plain,
    ( segmentP(sk4,sk5)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f373,plain,
    ( spl0_25
    | ~ spl0_26
    | ~ spl0_10
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f355,f266,f251,f282,f370,f366]) ).

fof(f366,plain,
    ( spl0_25
  <=> sk4 = sk5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f370,plain,
    ( spl0_26
  <=> segmentP(sk5,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f355,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk4)
    | ~ segmentP(sk5,sk4)
    | sk4 = sk5
    | ~ spl0_7 ),
    inference(resolution,[],[f268,f127]) ).

fof(f127,axiom,
    ! [X0,X1] :
      ( ~ segmentP(X1,X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ segmentP(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',clause127) ).

fof(f364,plain,
    ( spl0_24
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f354,f266,f282,f251,f362]) ).

fof(f362,plain,
    ( spl0_24
  <=> ! [X2,X1] :
        ( ~ ssList(X1)
        | segmentP(app(app(X1,sk4),X2),sk5)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f354,plain,
    ( ! [X2,X1] :
        ( ~ ssList(sk4)
        | ~ ssList(sk5)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | segmentP(app(app(X1,sk4),X2),sk5) )
    | ~ spl0_7 ),
    inference(resolution,[],[f268,f172]) ).

fof(f172,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | segmentP(app(app(X3,X0),X2),X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',clause172) ).

fof(f360,plain,
    ( spl0_23
    | ~ spl0_4
    | ~ spl0_10
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f353,f266,f282,f251,f358]) ).

fof(f358,plain,
    ( spl0_23
  <=> ! [X0] :
        ( ~ segmentP(sk5,X0)
        | segmentP(sk4,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f353,plain,
    ( ! [X0] :
        ( ~ ssList(sk4)
        | ~ ssList(sk5)
        | ~ segmentP(sk5,X0)
        | ~ ssList(X0)
        | segmentP(sk4,X0) )
    | ~ spl0_7 ),
    inference(resolution,[],[f268,f152]) ).

fof(f152,axiom,
    ! [X2,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | segmentP(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',clause152) ).

fof(f352,plain,
    ( spl0_22
    | ~ spl0_9
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f330,f261,f251,f278,f349]) ).

fof(f349,plain,
    ( spl0_22
  <=> sk5 = app(app(skaf47(sk5,sk3),sk3),skaf48(sk3,sk5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f330,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk3)
    | sk5 = app(app(skaf47(sk5,sk3),sk3),skaf48(sk3,sk5))
    | ~ spl0_6 ),
    inference(resolution,[],[f263,f168]) ).

fof(f263,plain,
    ( segmentP(sk5,sk3)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f347,plain,
    ( spl0_20
    | ~ spl0_21
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f329,f261,f278,f251,f344,f340]) ).

fof(f340,plain,
    ( spl0_20
  <=> sk3 = sk5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f344,plain,
    ( spl0_21
  <=> segmentP(sk3,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f329,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk5)
    | ~ segmentP(sk3,sk5)
    | sk3 = sk5
    | ~ spl0_6 ),
    inference(resolution,[],[f263,f127]) ).

fof(f338,plain,
    ( spl0_19
    | ~ spl0_9
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f328,f261,f251,f278,f336]) ).

fof(f336,plain,
    ( spl0_19
  <=> ! [X2,X1] :
        ( ~ ssList(X1)
        | segmentP(app(app(X1,sk5),X2),sk3)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f328,plain,
    ( ! [X2,X1] :
        ( ~ ssList(sk5)
        | ~ ssList(sk3)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | segmentP(app(app(X1,sk5),X2),sk3) )
    | ~ spl0_6 ),
    inference(resolution,[],[f263,f172]) ).

fof(f334,plain,
    ( spl0_18
    | ~ spl0_9
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f327,f261,f251,f278,f332]) ).

fof(f332,plain,
    ( spl0_18
  <=> ! [X0] :
        ( ~ segmentP(sk3,X0)
        | segmentP(sk5,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f327,plain,
    ( ! [X0] :
        ( ~ ssList(sk5)
        | ~ ssList(sk3)
        | ~ segmentP(sk3,X0)
        | ~ ssList(X0)
        | segmentP(sk5,X0) )
    | ~ spl0_6 ),
    inference(resolution,[],[f263,f152]) ).

fof(f326,plain,
    spl0_10,
    inference(avatar_contradiction_clause,[],[f325]) ).

fof(f325,plain,
    ( $false
    | spl0_10 ),
    inference(resolution,[],[f284,f189]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',co1_4) ).

fof(f284,plain,
    ( ~ ssList(sk4)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f324,plain,
    ( spl0_17
    | ~ spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f310,f246,f278,f321]) ).

fof(f321,plain,
    ( spl0_17
  <=> sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f246,plain,
    ( spl0_3
  <=> totalorderedP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f310,plain,
    ( ~ ssList(sk3)
    | sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3)))
    | spl0_3 ),
    inference(resolution,[],[f248,f164]) ).

fof(f164,axiom,
    ! [X0] :
      ( totalorderedP(X0)
      | ~ ssList(X0)
      | app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',clause164) ).

fof(f248,plain,
    ( ~ totalorderedP(sk3)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f319,plain,
    ( spl0_15
    | spl0_16
    | ~ spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f309,f246,f278,f317,f313]) ).

fof(f313,plain,
    ( spl0_15
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f317,plain,
    ( spl0_16
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | ~ totalorderedP(cons(X0,sk3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f309,plain,
    ( ! [X0] :
        ( ~ ssList(sk3)
        | ~ ssItem(X0)
        | nil = sk3
        | ~ totalorderedP(cons(X0,sk3)) )
    | spl0_3 ),
    inference(resolution,[],[f248,f125]) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( totalorderedP(X1)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | nil = X1
      | ~ totalorderedP(cons(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',clause125) ).

fof(f311,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f308]) ).

fof(f308,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f248,f193]) ).

fof(f193,axiom,
    totalorderedP(sk3),
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',co1_8) ).

fof(f307,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f306]) ).

fof(f306,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f240,f192]) ).

fof(f192,axiom,
    segmentP(sk4,sk3),
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',co1_7) ).

fof(f240,plain,
    ( ~ segmentP(sk4,sk3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl0_1
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f305,plain,
    spl0_9,
    inference(avatar_contradiction_clause,[],[f304]) ).

fof(f304,plain,
    ( $false
    | spl0_9 ),
    inference(resolution,[],[f280,f188]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',co1_3) ).

fof(f280,plain,
    ( ~ ssList(sk3)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f303,plain,
    ( spl0_14
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f273,f282,f278,f300]) ).

fof(f300,plain,
    ( spl0_14
  <=> sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f273,plain,
    ( ~ ssList(sk4)
    | ~ ssList(sk3)
    | sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4)) ),
    inference(resolution,[],[f192,f168]) ).

fof(f298,plain,
    ( spl0_12
    | ~ spl0_13
    | ~ spl0_10
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f272,f278,f282,f295,f291]) ).

fof(f291,plain,
    ( spl0_12
  <=> sk3 = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f295,plain,
    ( spl0_13
  <=> segmentP(sk3,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f272,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk4)
    | ~ segmentP(sk3,sk4)
    | sk3 = sk4 ),
    inference(resolution,[],[f192,f127]) ).

fof(f289,plain,
    ( spl0_11
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f271,f282,f278,f287]) ).

fof(f287,plain,
    ( spl0_11
  <=> ! [X2,X1] :
        ( ~ ssList(X1)
        | segmentP(app(app(X1,sk4),X2),sk3)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f271,plain,
    ! [X2,X1] :
      ( ~ ssList(sk4)
      | ~ ssList(sk3)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | segmentP(app(app(X1,sk4),X2),sk3) ),
    inference(resolution,[],[f192,f172]) ).

fof(f285,plain,
    ( spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f270,f282,f278,f275]) ).

fof(f275,plain,
    ( spl0_8
  <=> ! [X0] :
        ( ~ segmentP(sk3,X0)
        | segmentP(sk4,X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f270,plain,
    ! [X0] :
      ( ~ ssList(sk4)
      | ~ ssList(sk3)
      | ~ segmentP(sk3,X0)
      | ~ ssList(X0)
      | segmentP(sk4,X0) ),
    inference(resolution,[],[f192,f152]) ).

fof(f269,plain,
    ( spl0_7
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f206,f246,f238,f266]) ).

fof(f206,plain,
    ( ~ totalorderedP(sk3)
    | ~ segmentP(sk4,sk3)
    | segmentP(sk4,sk5) ),
    inference(definition_unfolding,[],[f197,f191,f190,f191,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',co1_5) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',co1_6) ).

fof(f197,axiom,
    ( ~ totalorderedP(sk1)
    | ~ segmentP(sk2,sk1)
    | segmentP(sk2,sk5) ),
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',co1_12) ).

fof(f264,plain,
    ( spl0_6
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f205,f246,f238,f261]) ).

fof(f205,plain,
    ( ~ totalorderedP(sk3)
    | ~ segmentP(sk4,sk3)
    | segmentP(sk5,sk3) ),
    inference(definition_unfolding,[],[f198,f191,f190,f191,f191]) ).

fof(f198,axiom,
    ( ~ totalorderedP(sk1)
    | ~ segmentP(sk2,sk1)
    | segmentP(sk5,sk1) ),
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',co1_13) ).

fof(f259,plain,
    ( spl0_5
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f204,f246,f238,f256]) ).

fof(f204,plain,
    ( ~ totalorderedP(sk3)
    | ~ segmentP(sk4,sk3)
    | neq(sk3,sk5) ),
    inference(definition_unfolding,[],[f196,f191,f190,f191,f191]) ).

fof(f196,axiom,
    ( ~ totalorderedP(sk1)
    | ~ segmentP(sk2,sk1)
    | neq(sk1,sk5) ),
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',co1_11) ).

fof(f254,plain,
    ( ~ spl0_1
    | spl0_4
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f203,f246,f251,f238]) ).

fof(f203,plain,
    ( ~ totalorderedP(sk3)
    | ssList(sk5)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f195,f191,f190,f191]) ).

fof(f195,axiom,
    ( ~ totalorderedP(sk1)
    | ssList(sk5)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',co1_10) ).

fof(f249,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f202,f246,f242,f238]) ).

fof(f202,plain,
    ( ~ totalorderedP(sk3)
    | totalorderedP(sk5)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f199,f191,f190,f191]) ).

fof(f199,axiom,
    ( ~ totalorderedP(sk1)
    | totalorderedP(sk5)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852',co1_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem    : SWC333-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.16  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37  % Computer : n004.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon Aug 28 17:22:52 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.U0fPFXTK5P/Vampire---4.8_31852
% 0.15/0.38  % (31966)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (31971)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.44  % (31969)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.22/0.44  % (31970)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.22/0.44  % (31967)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.22/0.44  % (31968)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.22/0.44  % (31972)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.22/0.45  % (31967)First to succeed.
% 0.22/0.45  % (31970)Also succeeded, but the first one will report.
% 0.22/0.45  % (31967)Refutation found. Thanks to Tanya!
% 0.22/0.45  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.45  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.45  % (31967)------------------------------
% 0.22/0.45  % (31967)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.45  % (31967)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.45  % (31967)Termination reason: Refutation
% 0.22/0.45  
% 0.22/0.45  % (31967)Memory used [KB]: 5884
% 0.22/0.45  % (31967)Time elapsed: 0.011 s
% 0.22/0.45  % (31967)------------------------------
% 0.22/0.45  % (31967)------------------------------
% 0.22/0.45  % (31966)Success in time 0.074 s
% 0.22/0.45  % Vampire---4.8 exiting
%------------------------------------------------------------------------------