TSTP Solution File: SWC354-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC354-1 : 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 : n019.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 20:58:41 EDT 2023

% Result   : Unsatisfiable 0.22s 0.52s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  111 (  13 unt;   0 def)
%            Number of atoms       :  350 (  63 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  435 ( 196   ~; 232   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   8 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :   58 (;  58   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3184,plain,
    $false,
    inference(avatar_sat_refutation,[],[f252,f254,f271,f355,f369,f410,f578,f3183]) ).

fof(f3183,plain,
    ( spl2_2
    | ~ spl2_3
    | ~ spl2_6
    | spl2_16 ),
    inference(avatar_contradiction_clause,[],[f3182]) ).

fof(f3182,plain,
    ( $false
    | spl2_2
    | ~ spl2_3
    | ~ spl2_6
    | spl2_16 ),
    inference(subsumption_resolution,[],[f3181,f13]) ).

fof(f13,axiom,
    ! [X0] : ssList(skaf82(X0)),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',clause13) ).

fof(f3181,plain,
    ( ~ ssList(skaf82(sk4))
    | spl2_2
    | ~ spl2_3
    | ~ spl2_6
    | spl2_16 ),
    inference(subsumption_resolution,[],[f3180,f188]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',co1_3) ).

fof(f3180,plain,
    ( ~ ssList(sk3)
    | ~ ssList(skaf82(sk4))
    | spl2_2
    | ~ spl2_3
    | ~ spl2_6
    | spl2_16 ),
    inference(subsumption_resolution,[],[f3153,f251]) ).

fof(f251,plain,
    ( ~ segmentP(sk4,sk3)
    | spl2_2 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f249,plain,
    ( spl2_2
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f3153,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(sk3)
    | ~ ssList(skaf82(sk4))
    | ~ spl2_3
    | ~ spl2_6
    | spl2_16 ),
    inference(superposition,[],[f3121,f1096]) ).

fof(f1096,plain,
    ( sk4 = app(sk3,skaf82(sk4))
    | ~ spl2_3
    | ~ spl2_6
    | spl2_16 ),
    inference(backward_demodulation,[],[f1000,f1090]) ).

fof(f1090,plain,
    ( skaf82(sk4) = skaf45(sk4,sk3)
    | ~ spl2_3
    | ~ spl2_6
    | spl2_16 ),
    inference(forward_demodulation,[],[f1089,f665]) ).

fof(f665,plain,
    ( tl(sk4) = skaf82(sk4)
    | ~ spl2_6
    | spl2_16 ),
    inference(subsumption_resolution,[],[f664,f269]) ).

fof(f269,plain,
    ( ssItem(sF0)
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f268,plain,
    ( spl2_6
  <=> ssItem(sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f664,plain,
    ( tl(sk4) = skaf82(sk4)
    | ~ ssItem(sF0)
    | spl2_16 ),
    inference(subsumption_resolution,[],[f659,f13]) ).

fof(f659,plain,
    ( tl(sk4) = skaf82(sk4)
    | ~ ssList(skaf82(sk4))
    | ~ ssItem(sF0)
    | spl2_16 ),
    inference(superposition,[],[f96,f626]) ).

fof(f626,plain,
    ( sk4 = cons(sF0,skaf82(sk4))
    | spl2_16 ),
    inference(subsumption_resolution,[],[f625,f189]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',co1_4) ).

fof(f625,plain,
    ( sk4 = cons(sF0,skaf82(sk4))
    | ~ ssList(sk4)
    | spl2_16 ),
    inference(subsumption_resolution,[],[f623,f408]) ).

fof(f408,plain,
    ( nil != sk4
    | spl2_16 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f407,plain,
    ( spl2_16
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).

fof(f623,plain,
    ( sk4 = cons(sF0,skaf82(sk4))
    | nil = sk4
    | ~ ssList(sk4)
    | spl2_16 ),
    inference(superposition,[],[f109,f613]) ).

fof(f613,plain,
    ( sF0 = skaf83(sk4)
    | spl2_16 ),
    inference(subsumption_resolution,[],[f612,f189]) ).

fof(f612,plain,
    ( sF0 = skaf83(sk4)
    | ~ ssList(sk4)
    | spl2_16 ),
    inference(subsumption_resolution,[],[f598,f408]) ).

fof(f598,plain,
    ( sF0 = skaf83(sk4)
    | nil = sk4
    | ~ ssList(sk4) ),
    inference(superposition,[],[f535,f233]) ).

fof(f233,plain,
    hd(sk4) = sF0,
    introduced(function_definition,[]) ).

fof(f535,plain,
    ! [X0] :
      ( skaf83(X0) = hd(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f534,f12]) ).

fof(f12,axiom,
    ! [X0] : ssItem(skaf83(X0)),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',clause12) ).

fof(f534,plain,
    ! [X0] :
      ( skaf83(X0) = hd(X0)
      | ~ ssItem(skaf83(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(subsumption_resolution,[],[f528,f13]) ).

fof(f528,plain,
    ! [X0] :
      ( skaf83(X0) = hd(X0)
      | ~ ssList(skaf82(X0))
      | ~ ssItem(skaf83(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(superposition,[],[f97,f109]) ).

fof(f97,axiom,
    ! [X0,X1] :
      ( hd(cons(X0,X1)) = X0
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',clause97) ).

fof(f109,axiom,
    ! [X0] :
      ( cons(skaf83(X0),skaf82(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',clause109) ).

fof(f96,axiom,
    ! [X0,X1] :
      ( tl(cons(X0,X1)) = X1
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',clause96) ).

fof(f1089,plain,
    ( tl(sk4) = skaf45(sk4,sk3)
    | ~ spl2_3
    | ~ spl2_6
    | spl2_16 ),
    inference(subsumption_resolution,[],[f1088,f269]) ).

fof(f1088,plain,
    ( tl(sk4) = skaf45(sk4,sk3)
    | ~ ssItem(sF0)
    | ~ spl2_3
    | ~ spl2_6
    | spl2_16 ),
    inference(subsumption_resolution,[],[f1079,f51]) ).

fof(f51,axiom,
    ! [X0,X1] : ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',clause51) ).

fof(f1079,plain,
    ( tl(sk4) = skaf45(sk4,sk3)
    | ~ ssList(skaf45(sk4,sk3))
    | ~ ssItem(sF0)
    | ~ spl2_3
    | ~ spl2_6
    | spl2_16 ),
    inference(superposition,[],[f96,f1025]) ).

fof(f1025,plain,
    ( sk4 = cons(sF0,skaf45(sk4,sk3))
    | ~ spl2_3
    | ~ spl2_6
    | spl2_16 ),
    inference(subsumption_resolution,[],[f1017,f51]) ).

fof(f1017,plain,
    ( sk4 = cons(sF0,skaf45(sk4,sk3))
    | ~ ssList(skaf45(sk4,sk3))
    | ~ spl2_3
    | ~ spl2_6
    | spl2_16 ),
    inference(superposition,[],[f1000,f657]) ).

fof(f657,plain,
    ( ! [X0] :
        ( cons(sF0,X0) = app(sk3,X0)
        | ~ ssList(X0) )
    | ~ spl2_3
    | ~ spl2_6 ),
    inference(subsumption_resolution,[],[f646,f269]) ).

fof(f646,plain,
    ( ! [X0] :
        ( cons(sF0,X0) = app(sk3,X0)
        | ~ ssList(X0)
        | ~ ssItem(sF0) )
    | ~ spl2_3 ),
    inference(superposition,[],[f120,f433]) ).

fof(f433,plain,
    ( sk3 = cons(sF0,nil)
    | ~ spl2_3 ),
    inference(backward_demodulation,[],[f234,f258]) ).

fof(f258,plain,
    ( sk3 = sF1
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl2_3
  <=> sk3 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f234,plain,
    cons(sF0,nil) = sF1,
    introduced(function_definition,[]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',clause120) ).

fof(f1000,plain,
    ( sk4 = app(sk3,skaf45(sk4,sk3))
    | ~ spl2_3
    | ~ spl2_6
    | spl2_16 ),
    inference(subsumption_resolution,[],[f999,f188]) ).

fof(f999,plain,
    ( ~ ssList(sk3)
    | sk4 = app(sk3,skaf45(sk4,sk3))
    | ~ spl2_3
    | ~ spl2_6
    | spl2_16 ),
    inference(subsumption_resolution,[],[f988,f189]) ).

fof(f988,plain,
    ( ~ ssList(sk4)
    | ~ ssList(sk3)
    | sk4 = app(sk3,skaf45(sk4,sk3))
    | ~ spl2_3
    | ~ spl2_6
    | spl2_16 ),
    inference(resolution,[],[f132,f710]) ).

fof(f710,plain,
    ( frontsegP(sk4,sk3)
    | ~ spl2_3
    | ~ spl2_6
    | spl2_16 ),
    inference(subsumption_resolution,[],[f708,f13]) ).

fof(f708,plain,
    ( frontsegP(sk4,sk3)
    | ~ ssList(skaf82(sk4))
    | ~ spl2_3
    | ~ spl2_6
    | spl2_16 ),
    inference(superposition,[],[f692,f626]) ).

fof(f692,plain,
    ( ! [X2] :
        ( frontsegP(cons(sF0,X2),sk3)
        | ~ ssList(X2) )
    | ~ spl2_3
    | ~ spl2_6 ),
    inference(subsumption_resolution,[],[f686,f188]) ).

fof(f686,plain,
    ( ! [X2] :
        ( frontsegP(cons(sF0,X2),sk3)
        | ~ ssList(sk3)
        | ~ ssList(X2) )
    | ~ spl2_3
    | ~ spl2_6 ),
    inference(duplicate_literal_removal,[],[f681]) ).

fof(f681,plain,
    ( ! [X2] :
        ( frontsegP(cons(sF0,X2),sk3)
        | ~ ssList(sk3)
        | ~ ssList(X2)
        | ~ ssList(X2) )
    | ~ spl2_3
    | ~ spl2_6 ),
    inference(superposition,[],[f281,f657]) ).

fof(f281,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(subsumption_resolution,[],[f220,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',clause85) ).

fof(f220,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | frontsegP(app(X0,X1),X0) ),
    inference(equality_resolution,[],[f144]) ).

fof(f144,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | frontsegP(X2,X0)
      | app(X0,X1) != X2 ),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',clause144) ).

fof(f132,axiom,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(X1,skaf45(X0,X1)) = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',clause132) ).

fof(f3121,plain,
    ! [X4,X5] :
      ( segmentP(app(X4,X5),X4)
      | ~ ssList(X4)
      | ~ ssList(X5) ),
    inference(subsumption_resolution,[],[f3120,f85]) ).

fof(f3120,plain,
    ! [X4,X5] :
      ( ~ ssList(app(X4,X5))
      | ~ ssList(X5)
      | ~ ssList(X4)
      | segmentP(app(X4,X5),X4) ),
    inference(subsumption_resolution,[],[f3114,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',clause8) ).

fof(f3114,plain,
    ! [X4,X5] :
      ( ~ ssList(app(X4,X5))
      | ~ ssList(X5)
      | ~ ssList(X4)
      | ~ ssList(nil)
      | segmentP(app(X4,X5),X4) ),
    inference(duplicate_literal_removal,[],[f3089]) ).

fof(f3089,plain,
    ! [X4,X5] :
      ( ~ ssList(app(X4,X5))
      | ~ ssList(X5)
      | ~ ssList(X4)
      | ~ ssList(nil)
      | segmentP(app(X4,X5),X4)
      | ~ ssList(X4) ),
    inference(superposition,[],[f224,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',clause74) ).

fof(f224,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(app(app(X0,X1),X2),X1) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X3,X1)
      | app(app(X0,X1),X2) != X3 ),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',clause173) ).

fof(f578,plain,
    ( ~ spl2_1
    | ~ spl2_16 ),
    inference(avatar_contradiction_clause,[],[f577]) ).

fof(f577,plain,
    ( $false
    | ~ spl2_1
    | ~ spl2_16 ),
    inference(subsumption_resolution,[],[f576,f8]) ).

fof(f576,plain,
    ( ~ ssList(nil)
    | ~ spl2_1
    | ~ spl2_16 ),
    inference(resolution,[],[f570,f240]) ).

fof(f240,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f217]) ).

fof(f217,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.YzG40f7lqt/Vampire---4.8_5812',clause115) ).

fof(f570,plain,
    ( neq(nil,nil)
    | ~ spl2_1
    | ~ spl2_16 ),
    inference(backward_demodulation,[],[f246,f409]) ).

fof(f409,plain,
    ( nil = sk4
    | ~ spl2_16 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f246,plain,
    ( neq(sk4,nil)
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f245,plain,
    ( spl2_1
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f410,plain,
    ( spl2_16
    | spl2_6 ),
    inference(avatar_split_clause,[],[f405,f268,f407]) ).

fof(f405,plain,
    ( ssItem(sF0)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f296,f189]) ).

fof(f296,plain,
    ( ssItem(sF0)
    | nil = sk4
    | ~ ssList(sk4) ),
    inference(superposition,[],[f76,f233]) ).

fof(f76,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',clause76) ).

fof(f369,plain,
    ( ~ spl2_6
    | spl2_5 ),
    inference(avatar_split_clause,[],[f314,f264,f268]) ).

fof(f264,plain,
    ( spl2_5
  <=> ssList(sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f314,plain,
    ( ssList(sF1)
    | ~ ssItem(sF0) ),
    inference(subsumption_resolution,[],[f313,f8]) ).

fof(f313,plain,
    ( ssList(sF1)
    | ~ ssList(nil)
    | ~ ssItem(sF0) ),
    inference(superposition,[],[f86,f234]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',clause86) ).

fof(f355,plain,
    ( ~ spl2_1
    | spl2_4 ),
    inference(avatar_contradiction_clause,[],[f354]) ).

fof(f354,plain,
    ( $false
    | ~ spl2_1
    | spl2_4 ),
    inference(subsumption_resolution,[],[f351,f349]) ).

fof(f349,plain,
    ( neq(nil,nil)
    | ~ spl2_1
    | spl2_4 ),
    inference(backward_demodulation,[],[f246,f348]) ).

fof(f348,plain,
    ( nil = sk4
    | spl2_4 ),
    inference(subsumption_resolution,[],[f347,f8]) ).

fof(f347,plain,
    ( nil = sk4
    | ~ ssList(nil)
    | spl2_4 ),
    inference(subsumption_resolution,[],[f342,f189]) ).

fof(f342,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | ~ ssList(nil)
    | spl2_4 ),
    inference(resolution,[],[f100,f262]) ).

fof(f262,plain,
    ( ~ neq(nil,sk4)
    | spl2_4 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl2_4
  <=> neq(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X0)
      | X0 = X1
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',clause100) ).

fof(f351,plain,
    ( ~ neq(nil,nil)
    | spl2_4 ),
    inference(backward_demodulation,[],[f262,f348]) ).

fof(f271,plain,
    ( spl2_3
    | ~ spl2_4
    | ~ spl2_1
    | ~ spl2_5
    | ~ spl2_6 ),
    inference(avatar_split_clause,[],[f235,f268,f264,f245,f260,f256]) ).

fof(f235,plain,
    ( ~ ssItem(sF0)
    | ~ ssList(sF1)
    | ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | sk3 = sF1 ),
    inference(definition_folding,[],[f206,f234,f233,f234,f233,f233]) ).

fof(f206,plain,
    ( ~ ssItem(hd(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | sk3 = cons(hd(sk4),nil) ),
    inference(equality_resolution,[],[f205]) ).

fof(f205,plain,
    ! [X6] :
      ( ~ ssItem(hd(sk4))
      | ~ ssList(X6)
      | ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | sk3 = X6
      | cons(hd(sk4),nil) != X6 ),
    inference(equality_resolution,[],[f196]) ).

fof(f196,axiom,
    ! [X6,X7] :
      ( ~ ssItem(X7)
      | ~ ssList(X6)
      | ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | sk3 = X6
      | hd(sk4) != X7
      | cons(X7,nil) != X6 ),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',co1_11) ).

fof(f254,plain,
    spl2_1,
    inference(avatar_split_clause,[],[f243,f245]) ).

fof(f243,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f203]) ).

fof(f203,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',co1_5) ).

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',co1_7) ).

fof(f252,plain,
    ( ~ spl2_1
    | ~ spl2_2 ),
    inference(avatar_split_clause,[],[f200,f249,f245]) ).

fof(f200,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ neq(sk4,nil) ),
    inference(definition_unfolding,[],[f197,f190,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',co1_6) ).

fof(f197,axiom,
    ( ~ segmentP(sk2,sk1)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812',co1_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SWC354-1 : TPTP v8.1.2. Released v2.4.0.
% 0.15/0.16  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37  % Computer : n019.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon Aug 28 14:43:43 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.YzG40f7lqt/Vampire---4.8_5812
% 0.22/0.38  % (6135)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44  % (6145)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.22/0.44  % (6140)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  % (6142)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  % (6148)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  % (6139)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  % (6150)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)
% 0.22/0.44  % (6151)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.22/0.51  % (6145)First to succeed.
% 0.22/0.52  % (6145)Refutation found. Thanks to Tanya!
% 0.22/0.52  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.52  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.52  % (6145)------------------------------
% 0.22/0.52  % (6145)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.52  % (6145)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.52  % (6145)Termination reason: Refutation
% 0.22/0.52  
% 0.22/0.52  % (6145)Memory used [KB]: 7164
% 0.22/0.52  % (6145)Time elapsed: 0.075 s
% 0.22/0.52  % (6145)------------------------------
% 0.22/0.52  % (6145)------------------------------
% 0.22/0.52  % (6135)Success in time 0.138 s
% 0.22/0.52  % Vampire---4.8 exiting
%------------------------------------------------------------------------------