TSTP Solution File: SWC420-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC420-1 : 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 : n001.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 20:59:51 EDT 2023

% Result   : Unsatisfiable 3.56s 1.04s
% Output   : Refutation 3.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  108 (  10 unt;   0 def)
%            Number of atoms       :  355 (  97 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  462 ( 215   ~; 239   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   14 (  12 usr;   9 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   55 (;  55   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f16193,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1225,f3937,f5462,f5531,f5539,f5658,f5747,f16171,f16192]) ).

fof(f16192,plain,
    ( spl0_1
    | ~ spl0_155
    | ~ spl0_156
    | spl0_401 ),
    inference(avatar_contradiction_clause,[],[f16191]) ).

fof(f16191,plain,
    ( $false
    | spl0_1
    | ~ spl0_155
    | ~ spl0_156
    | spl0_401 ),
    inference(subsumption_resolution,[],[f16190,f187]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',co1_2) ).

fof(f16190,plain,
    ( ~ ssList(sk2)
    | spl0_1
    | ~ spl0_155
    | ~ spl0_156
    | spl0_401 ),
    inference(subsumption_resolution,[],[f16189,f1309]) ).

fof(f1309,plain,
    ( nil != sk2
    | spl0_1 ),
    inference(superposition,[],[f230,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',co1_5) ).

fof(f230,plain,
    ( nil != sk4
    | spl0_1 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f16189,plain,
    ( nil = sk2
    | ~ ssList(sk2)
    | ~ spl0_155
    | ~ spl0_156
    | spl0_401 ),
    inference(trivial_inequality_removal,[],[f16188]) ).

fof(f16188,plain,
    ( sk2 != sk2
    | nil = sk2
    | ~ ssList(sk2)
    | ~ spl0_155
    | ~ spl0_156
    | spl0_401 ),
    inference(superposition,[],[f16184,f104]) ).

fof(f104,axiom,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',clause104) ).

fof(f16184,plain,
    ( sk2 != cons(hd(sk2),tl(sk2))
    | ~ spl0_155
    | ~ spl0_156
    | spl0_401 ),
    inference(subsumption_resolution,[],[f16183,f5263]) ).

fof(f5263,plain,
    ( ssItem(hd(sk2))
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f5262]) ).

fof(f5262,plain,
    ( spl0_155
  <=> ssItem(hd(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f16183,plain,
    ( sk2 != cons(hd(sk2),tl(sk2))
    | ~ ssItem(hd(sk2))
    | ~ spl0_156
    | spl0_401 ),
    inference(subsumption_resolution,[],[f16181,f5267]) ).

fof(f5267,plain,
    ( ssList(tl(sk2))
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f5266]) ).

fof(f5266,plain,
    ( spl0_156
  <=> ssList(tl(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f16181,plain,
    ( sk2 != cons(hd(sk2),tl(sk2))
    | ~ ssList(tl(sk2))
    | ~ ssItem(hd(sk2))
    | spl0_401 ),
    inference(superposition,[],[f13311,f120]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',clause120) ).

fof(f13311,plain,
    ( sk2 != app(cons(hd(sk2),nil),tl(sk2))
    | spl0_401 ),
    inference(avatar_component_clause,[],[f13309]) ).

fof(f13309,plain,
    ( spl0_401
  <=> sk2 = app(cons(hd(sk2),nil),tl(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_401])]) ).

fof(f16171,plain,
    ( ~ spl0_401
    | spl0_1
    | ~ spl0_75
    | ~ spl0_154
    | ~ spl0_162
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f16170,f5458,f5291,f5258,f1731,f228,f13309]) ).

fof(f1731,plain,
    ( spl0_75
  <=> sk1 = app(sk1,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f5258,plain,
    ( spl0_154
  <=> ssList(cons(hd(sk2),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f5291,plain,
    ( spl0_162
  <=> singletonP(cons(hd(sk2),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f5458,plain,
    ( spl0_200
  <=> sk1 = tl(app(sk2,cons(hd(sk2),nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).

fof(f16170,plain,
    ( sk2 != app(cons(hd(sk2),nil),tl(sk2))
    | spl0_1
    | ~ spl0_75
    | ~ spl0_154
    | ~ spl0_162
    | ~ spl0_200 ),
    inference(subsumption_resolution,[],[f16169,f1309]) ).

fof(f16169,plain,
    ( sk2 != app(cons(hd(sk2),nil),tl(sk2))
    | nil = sk2
    | ~ spl0_75
    | ~ spl0_154
    | ~ spl0_162
    | ~ spl0_200 ),
    inference(subsumption_resolution,[],[f16168,f187]) ).

fof(f16168,plain,
    ( sk2 != app(cons(hd(sk2),nil),tl(sk2))
    | ~ ssList(sk2)
    | nil = sk2
    | ~ spl0_75
    | ~ spl0_154
    | ~ spl0_162
    | ~ spl0_200 ),
    inference(subsumption_resolution,[],[f16167,f5292]) ).

fof(f5292,plain,
    ( singletonP(cons(hd(sk2),nil))
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f5291]) ).

fof(f16167,plain,
    ( sk2 != app(cons(hd(sk2),nil),tl(sk2))
    | ~ singletonP(cons(hd(sk2),nil))
    | ~ ssList(sk2)
    | nil = sk2
    | ~ spl0_75
    | ~ spl0_154
    | ~ spl0_200 ),
    inference(subsumption_resolution,[],[f16166,f5259]) ).

fof(f5259,plain,
    ( ssList(cons(hd(sk2),nil))
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f5258]) ).

fof(f16166,plain,
    ( sk2 != app(cons(hd(sk2),nil),tl(sk2))
    | ~ ssList(cons(hd(sk2),nil))
    | ~ singletonP(cons(hd(sk2),nil))
    | ~ ssList(sk2)
    | nil = sk2
    | ~ spl0_75
    | ~ spl0_200 ),
    inference(subsumption_resolution,[],[f16097,f1732]) ).

fof(f1732,plain,
    ( sk1 = app(sk1,nil)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f1731]) ).

fof(f16097,plain,
    ( sk1 != app(sk1,nil)
    | sk2 != app(cons(hd(sk2),nil),tl(sk2))
    | ~ ssList(cons(hd(sk2),nil))
    | ~ singletonP(cons(hd(sk2),nil))
    | ~ ssList(sk2)
    | nil = sk2
    | ~ spl0_200 ),
    inference(superposition,[],[f1716,f5460]) ).

fof(f5460,plain,
    ( sk1 = tl(app(sk2,cons(hd(sk2),nil)))
    | ~ spl0_200 ),
    inference(avatar_component_clause,[],[f5458]) ).

fof(f1716,plain,
    ! [X26,X25] :
      ( sk1 != app(tl(app(X25,X26)),nil)
      | sk2 != app(X26,tl(X25))
      | ~ ssList(X26)
      | ~ singletonP(X26)
      | ~ ssList(X25)
      | nil = X25 ),
    inference(subsumption_resolution,[],[f1681,f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',clause75) ).

fof(f1681,plain,
    ! [X26,X25] :
      ( sk1 != app(tl(app(X25,X26)),nil)
      | ~ ssList(tl(X25))
      | sk2 != app(X26,tl(X25))
      | ~ ssList(X26)
      | ~ singletonP(X26)
      | ~ ssList(X25)
      | nil = X25 ),
    inference(duplicate_literal_removal,[],[f1677]) ).

fof(f1677,plain,
    ! [X26,X25] :
      ( sk1 != app(tl(app(X25,X26)),nil)
      | ~ ssList(tl(X25))
      | sk2 != app(X26,tl(X25))
      | ~ ssList(X26)
      | ~ singletonP(X26)
      | ~ ssList(X25)
      | nil = X25
      | ~ ssList(X26) ),
    inference(superposition,[],[f408,f133]) ).

fof(f133,axiom,
    ! [X0,X1] :
      ( tl(app(X1,X0)) = app(tl(X1),X0)
      | ~ ssList(X1)
      | nil = X1
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',clause133) ).

fof(f408,plain,
    ! [X6,X5] :
      ( sk1 != app(app(X6,X5),nil)
      | ~ ssList(X6)
      | sk2 != app(X5,X6)
      | ~ ssList(X5)
      | ~ singletonP(X5) ),
    inference(subsumption_resolution,[],[f404,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',clause8) ).

fof(f404,plain,
    ! [X6,X5] :
      ( sk2 != app(X5,X6)
      | ~ ssList(nil)
      | ~ ssList(X6)
      | sk1 != app(app(X6,X5),nil)
      | ~ ssList(X5)
      | ~ singletonP(X5) ),
    inference(duplicate_literal_removal,[],[f370]) ).

fof(f370,plain,
    ! [X6,X5] :
      ( sk2 != app(X5,X6)
      | ~ ssList(nil)
      | ~ ssList(X6)
      | sk1 != app(app(X6,X5),nil)
      | ~ ssList(X5)
      | ~ singletonP(X5)
      | ~ ssList(X5) ),
    inference(superposition,[],[f278,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',clause74) ).

fof(f278,plain,
    ! [X2,X0,X1] :
      ( sk2 != app(app(X1,X0),X2)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | sk1 != app(app(X2,X0),X1)
      | ~ ssList(X0)
      | ~ singletonP(X0) ),
    inference(subsumption_resolution,[],[f266,f47]) ).

fof(f47,axiom,
    ! [X0] : ssItem(skaf44(X0)),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',clause47) ).

fof(f266,plain,
    ! [X2,X0,X1] :
      ( sk2 != app(app(X1,X0),X2)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | sk1 != app(app(X2,X0),X1)
      | ~ ssItem(skaf44(X0))
      | ~ ssList(X0)
      | ~ singletonP(X0) ),
    inference(superposition,[],[f193,f101]) ).

fof(f101,axiom,
    ! [X0] :
      ( cons(skaf44(X0),nil) = X0
      | ~ ssList(X0)
      | ~ singletonP(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',clause101) ).

fof(f193,axiom,
    ! [X8,X6,X7] :
      ( sk2 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X7)
      | ~ ssList(X8)
      | sk1 != app(app(X8,cons(X6,nil)),X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',co1_8) ).

fof(f5747,plain,
    ( spl0_162
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f5737,f5262,f5258,f5291]) ).

fof(f5737,plain,
    ( singletonP(cons(hd(sk2),nil))
    | ~ spl0_154
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f5735,f5263]) ).

fof(f5735,plain,
    ( ~ ssItem(hd(sk2))
    | singletonP(cons(hd(sk2),nil))
    | ~ spl0_154 ),
    inference(resolution,[],[f5259,f201]) ).

fof(f201,plain,
    ! [X0] :
      ( ~ ssList(cons(X0,nil))
      | ~ ssItem(X0)
      | singletonP(cons(X0,nil)) ),
    inference(equality_resolution,[],[f116]) ).

fof(f116,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | singletonP(X1)
      | cons(X0,nil) != X1 ),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',clause116) ).

fof(f5658,plain,
    ( spl0_154
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f5657]) ).

fof(f5657,plain,
    ( $false
    | spl0_154
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f5656,f5263]) ).

fof(f5656,plain,
    ( ~ ssItem(hd(sk2))
    | spl0_154 ),
    inference(subsumption_resolution,[],[f5655,f8]) ).

fof(f5655,plain,
    ( ~ ssList(nil)
    | ~ ssItem(hd(sk2))
    | spl0_154 ),
    inference(resolution,[],[f5260,f86]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',clause86) ).

fof(f5260,plain,
    ( ~ ssList(cons(hd(sk2),nil))
    | spl0_154 ),
    inference(avatar_component_clause,[],[f5258]) ).

fof(f5539,plain,
    ( spl0_1
    | spl0_155 ),
    inference(avatar_contradiction_clause,[],[f5538]) ).

fof(f5538,plain,
    ( $false
    | spl0_1
    | spl0_155 ),
    inference(subsumption_resolution,[],[f5537,f187]) ).

fof(f5537,plain,
    ( ~ ssList(sk2)
    | spl0_1
    | spl0_155 ),
    inference(subsumption_resolution,[],[f5533,f1309]) ).

fof(f5533,plain,
    ( nil = sk2
    | ~ ssList(sk2)
    | spl0_155 ),
    inference(resolution,[],[f5264,f76]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',clause76) ).

fof(f5264,plain,
    ( ~ ssItem(hd(sk2))
    | spl0_155 ),
    inference(avatar_component_clause,[],[f5262]) ).

fof(f5531,plain,
    ( spl0_1
    | spl0_156 ),
    inference(avatar_contradiction_clause,[],[f5530]) ).

fof(f5530,plain,
    ( $false
    | spl0_1
    | spl0_156 ),
    inference(subsumption_resolution,[],[f5529,f187]) ).

fof(f5529,plain,
    ( ~ ssList(sk2)
    | spl0_1
    | spl0_156 ),
    inference(subsumption_resolution,[],[f5525,f1309]) ).

fof(f5525,plain,
    ( nil = sk2
    | ~ ssList(sk2)
    | spl0_156 ),
    inference(resolution,[],[f5268,f75]) ).

fof(f5268,plain,
    ( ~ ssList(tl(sk2))
    | spl0_156 ),
    inference(avatar_component_clause,[],[f5266]) ).

fof(f5462,plain,
    ( ~ spl0_154
    | spl0_200
    | spl0_1 ),
    inference(avatar_split_clause,[],[f4668,f228,f5458,f5258]) ).

fof(f4668,plain,
    ( sk1 = tl(app(sk2,cons(hd(sk2),nil)))
    | ~ ssList(cons(hd(sk2),nil))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f4667,f1309]) ).

fof(f4667,plain,
    ( sk1 = tl(app(sk2,cons(hd(sk2),nil)))
    | nil = sk2
    | ~ ssList(cons(hd(sk2),nil))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f4613,f187]) ).

fof(f4613,plain,
    ( sk1 = tl(app(sk2,cons(hd(sk2),nil)))
    | ~ ssList(sk2)
    | nil = sk2
    | ~ ssList(cons(hd(sk2),nil))
    | spl0_1 ),
    inference(superposition,[],[f1618,f133]) ).

fof(f1618,plain,
    ( sk1 = app(tl(sk2),cons(hd(sk2),nil))
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1617,f187]) ).

fof(f1617,plain,
    ( sk1 = app(tl(sk2),cons(hd(sk2),nil))
    | ~ ssList(sk2)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1616,f1309]) ).

fof(f1616,plain,
    ( sk1 = app(tl(sk2),cons(hd(sk2),nil))
    | nil = sk2
    | ~ ssList(sk2) ),
    inference(equality_resolution,[],[f1299]) ).

fof(f1299,plain,
    ! [X2] :
      ( sk2 != X2
      | sk1 = app(tl(X2),cons(hd(X2),nil))
      | nil = X2
      | ~ ssList(X2) ),
    inference(subsumption_resolution,[],[f1298,f78]) ).

fof(f78,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',clause78) ).

fof(f1298,plain,
    ! [X2] :
      ( sk2 != X2
      | sk1 = app(tl(X2),cons(hd(X2),nil))
      | ~ ssItem(hd(X2))
      | nil = X2
      | ~ ssList(X2) ),
    inference(subsumption_resolution,[],[f648,f75]) ).

fof(f648,plain,
    ! [X2] :
      ( sk2 != X2
      | sk1 = app(tl(X2),cons(hd(X2),nil))
      | ~ ssItem(hd(X2))
      | ~ ssList(tl(X2))
      | nil = X2
      | ~ ssList(X2) ),
    inference(superposition,[],[f259,f104]) ).

fof(f259,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sk2
      | sk1 = app(X1,cons(X0,nil))
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f254]) ).

fof(f254,plain,
    ! [X0,X1] :
      ( cons(X0,X1) != sk2
      | sk1 = app(X1,cons(X0,nil))
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(superposition,[],[f237,f120]) ).

fof(f237,plain,
    ! [X6,X7] :
      ( sk2 != app(cons(X6,nil),X7)
      | sk1 = app(X7,cons(X6,nil))
      | ~ ssItem(X6)
      | ~ ssList(X7) ),
    inference(forward_demodulation,[],[f236,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',co1_6) ).

fof(f236,plain,
    ! [X6,X7] :
      ( sk2 != app(cons(X6,nil),X7)
      | ~ ssItem(X6)
      | ~ ssList(X7)
      | sk3 = app(X7,cons(X6,nil)) ),
    inference(forward_demodulation,[],[f194,f190]) ).

fof(f194,axiom,
    ! [X6,X7] :
      ( ~ ssItem(X6)
      | ~ ssList(X7)
      | sk4 != app(cons(X6,nil),X7)
      | sk3 = app(X7,cons(X6,nil)) ),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',co1_9) ).

fof(f3937,plain,
    spl0_75,
    inference(avatar_contradiction_clause,[],[f3936]) ).

fof(f3936,plain,
    ( $false
    | spl0_75 ),
    inference(subsumption_resolution,[],[f3935,f186]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',co1_1) ).

fof(f3935,plain,
    ( ~ ssList(sk1)
    | spl0_75 ),
    inference(trivial_inequality_removal,[],[f3934]) ).

fof(f3934,plain,
    ( sk1 != sk1
    | ~ ssList(sk1)
    | spl0_75 ),
    inference(superposition,[],[f1733,f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',clause73) ).

fof(f1733,plain,
    ( sk1 != app(sk1,nil)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f1731]) ).

fof(f1225,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f1224]) ).

fof(f1224,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f1222,f8]) ).

fof(f1222,plain,
    ( ~ ssList(nil)
    | ~ spl0_1 ),
    inference(resolution,[],[f1197,f222]) ).

fof(f222,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f204]) ).

fof(f204,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | X0 != X1
      | ~ neq(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',clause115) ).

fof(f1197,plain,
    ( neq(nil,nil)
    | ~ spl0_1 ),
    inference(superposition,[],[f192,f1170]) ).

fof(f1170,plain,
    ( nil = sk2
    | ~ spl0_1 ),
    inference(superposition,[],[f229,f190]) ).

fof(f229,plain,
    ( nil = sk4
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f192,axiom,
    neq(sk2,nil),
    file('/export/starexec/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187',co1_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWC420-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n001.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Aug 28 18:44:35 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/sandbox/tmp/tmp.KKFJKNqzZH/Vampire---4.8_2187
% 0.15/0.37  % (2422)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45  % (2430)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.22/0.45  % (2431)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)
% 0.22/0.45  % (2427)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)
% 0.22/0.46  % (2427)Refutation not found, incomplete strategy% (2427)------------------------------
% 0.22/0.46  % (2427)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.46  % (2427)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.46  % (2427)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.46  
% 0.22/0.46  % (2427)Memory used [KB]: 5756
% 0.22/0.46  % (2427)Time elapsed: 0.006 s
% 0.22/0.46  % (2427)------------------------------
% 0.22/0.46  % (2427)------------------------------
% 0.22/0.46  % (2429)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)
% 0.22/0.46  % (2428)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.22/0.46  % (2433)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.22/0.46  % (2432)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)
% 0.22/0.50  % (2450)lrs-11_32_amm=off:bce=on:cond=on:er=filter:fsd=off:fde=none:gs=on:gsem=on:lcm=reverse:nm=4:nwc=1.1:sos=all:sac=on:sp=frequency:urr=on:stl=125_403 on Vampire---4 for (403ds/0Mi)
% 3.18/1.04  % (2433)First to succeed.
% 3.56/1.04  % (2433)Refutation found. Thanks to Tanya!
% 3.56/1.04  % SZS status Unsatisfiable for Vampire---4
% 3.56/1.04  % SZS output start Proof for Vampire---4
% See solution above
% 3.56/1.04  % (2433)------------------------------
% 3.56/1.04  % (2433)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 3.56/1.04  % (2433)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 3.56/1.04  % (2433)Termination reason: Refutation
% 3.56/1.04  
% 3.56/1.04  % (2433)Memory used [KB]: 15607
% 3.56/1.04  % (2433)Time elapsed: 0.598 s
% 3.56/1.04  % (2433)------------------------------
% 3.56/1.04  % (2433)------------------------------
% 3.56/1.04  % (2422)Success in time 0.659 s
% 3.56/1.04  % Vampire---4.8 exiting
%------------------------------------------------------------------------------