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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC376-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:05:46 PM UTC 2026

% Result   : Unsatisfiable 23.08s 4.11s
% Output   : Refutation 23.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  246 (  22 unt;  17 def)
%            Number of atoms       :  923 (  83 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives : 1097 ( 420   ~; 660   |;   0   &)
%                                         (  17 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   24 (  22 usr;  18 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :  149 (   0 sgn 149   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).

fof(f72,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | duplicatefreeP(X0)
      | ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).

fof(f75,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | ssList(tl(X0))
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause75) ).

fof(f76,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | ssItem(hd(X0))
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause76) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ssList(app(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | ssList(cons(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).

fof(f101,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | neq(X1,X0)
      | X1 = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | neq(X1,X0)
      | X0 = X1 ),
    inference(reorient_equations,[],[f101]) ).

fof(f107,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(hd(X0),tl(X0)) = X0
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause115) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | app(cons(X0,nil),X1) = cons(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | cons(X0,X1) = app(cons(X0,nil),X1) ),
    inference(reorient_equations,[],[f125]) ).

fof(f150,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | memberP(cons(X2,X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause139) ).

fof(f151,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | memberP(app(X0,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause140) ).

fof(f161,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause149) ).

fof(f170,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(app(X0,X1),X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | memberP(X1,X2)
      | memberP(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause158) ).

fof(f173,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X0,X1),X2)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssItem(X2)
      | memberP(X1,X2)
      | X2 = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause161) ).

fof(f174,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X0,X1),X2)
      | ~ ssList(X1)
      | ~ ssItem(X0)
      | ~ ssItem(X2)
      | memberP(X1,X2)
      | X0 = X2 ),
    inference(reorient_equations,[],[f173]) ).

fof(f189,axiom,
    ! [X2,X3,X0,X1] :
      ( app(X0,cons(X1,X2)) != X3
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(X3)
      | memberP(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause175) ).

fof(f193,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ duplicatefreeP(X4)
      | ~ ssList(X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause179) ).

fof(f200,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f201,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f204,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f205,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f207,negated_conjecture,
    ( memberP(sk2,sk5)
    | memberP(sk1,sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    ( ~ memberP(sk2,sk5)
    | ~ memberP(sk1,sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f209,negated_conjecture,
    ( nil = sk3
    | nil != sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f210,negated_conjecture,
    ( ~ neq(sk4,nil)
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f211,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ~ neq(sk4,nil)
      | ~ ssList(X0)
      | sk4 = X0
      | ~ ssList(X1)
      | ~ ssList(X2)
      | tl(sk3) != X1
      | app(X1,X2) != X0
      | ~ ssItem(X3)
      | cons(X3,nil) != X2
      | hd(sk3) != X3
      | ~ neq(nil,sk3)
      | ~ neq(nil,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f212,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f200,f205]) ).

fof(f213,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f201,f204]) ).

fof(f214,plain,
    ( memberP(sk4,sk5)
    | memberP(sk3,sk5) ),
    inference(definition_unfolding,[],[f207,f204,f205]) ).

fof(f215,plain,
    ( ~ memberP(sk4,sk5)
    | ~ memberP(sk3,sk5) ),
    inference(definition_unfolding,[],[f208,f204,f205]) ).

fof(f222,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f118]) ).

fof(f231,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(app(X0,cons(X1,X2)))
      | memberP(app(X0,cons(X1,X2)),X1) ),
    inference(equality_resolution,[],[f189]) ).

fof(f233,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
      | ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
    inference(equality_resolution,[],[f193]) ).

fof(f240,plain,
    ! [X2,X3,X0] :
      ( ~ neq(sk4,nil)
      | ~ ssList(X0)
      | sk4 = X0
      | ~ ssList(tl(sk3))
      | ~ ssList(X2)
      | app(tl(sk3),X2) != X0
      | ~ ssItem(X3)
      | cons(X3,nil) != X2
      | hd(sk3) != X3
      | ~ neq(nil,sk3)
      | ~ neq(nil,sk3) ),
    inference(equality_resolution,[],[f211]) ).

fof(f241,plain,
    ! [X2,X3] :
      ( ~ neq(sk4,nil)
      | ~ ssList(app(tl(sk3),X2))
      | sk4 = app(tl(sk3),X2)
      | ~ ssList(tl(sk3))
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | cons(X3,nil) != X2
      | hd(sk3) != X3
      | ~ neq(nil,sk3)
      | ~ neq(nil,sk3) ),
    inference(equality_resolution,[],[f240]) ).

fof(f242,plain,
    ! [X3] :
      ( ~ neq(sk4,nil)
      | ~ ssList(app(tl(sk3),cons(X3,nil)))
      | sk4 = app(tl(sk3),cons(X3,nil))
      | ~ ssList(tl(sk3))
      | ~ ssList(cons(X3,nil))
      | ~ ssItem(X3)
      | hd(sk3) != X3
      | ~ neq(nil,sk3)
      | ~ neq(nil,sk3) ),
    inference(equality_resolution,[],[f241]) ).

fof(f243,plain,
    ( ~ neq(sk4,nil)
    | ~ ssList(app(tl(sk3),cons(hd(sk3),nil)))
    | sk4 = app(tl(sk3),cons(hd(sk3),nil))
    | ~ ssList(tl(sk3))
    | ~ ssList(cons(hd(sk3),nil))
    | ~ ssItem(hd(sk3))
    | ~ neq(nil,sk3)
    | ~ neq(nil,sk3) ),
    inference(equality_resolution,[],[f242]) ).

fof(f248,plain,
    ~ ssList(nil),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f288,plain,
    ! [X0,X1] :
      ( ssList(X0)
      | ~ duplicatefreeP(X0)
      | ssItem(X1) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f291,plain,
    ! [X0] :
      ( ~ ssList(tl(X0))
      | ssList(X0)
      | nil = X0 ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f292,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | ssList(X0)
      | nil = X0 ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f301,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X1,X0))
      | ssList(X1)
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f85]) ).

fof(f302,plain,
    ! [X0,X1] :
      ( ~ ssList(cons(X0,X1))
      | ssList(X1)
      | ~ ssItem(X0) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f316,plain,
    ! [X0,X1] :
      ( ~ neq(X1,X0)
      | ssList(X1)
      | ssList(X0)
      | X0 = X1 ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f319,plain,
    ! [X0] :
      ( ssList(X0)
      | cons(hd(X0),tl(X0)) = X0
      | nil = X0 ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f328,plain,
    ! [X1] :
      ( neq(X1,X1)
      | ssList(X1)
      | ssList(X1) ),
    inference(consistent_polarity_flipping,[],[f222]) ).

fof(f333,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ssList(X1)
      | cons(X0,X1) = app(cons(X0,nil),X1) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f349,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X2,X0),X1)
      | ssList(X0)
      | ~ ssItem(X2)
      | ~ ssItem(X1)
      | memberP(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f350,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(app(X0,X2),X1)
      | ssList(X2)
      | ssList(X0)
      | ~ ssItem(X1)
      | memberP(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f358,plain,
    ! [X2,X0,X1] :
      ( ssList(X0)
      | ssList(X1)
      | ssList(X2)
      | app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
    inference(consistent_polarity_flipping,[],[f161]) ).

fof(f365,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(X0,X2)
      | ssList(X1)
      | ssList(X0)
      | ~ ssItem(X2)
      | ~ memberP(X1,X2)
      | memberP(app(X0,X1),X2) ),
    inference(consistent_polarity_flipping,[],[f170]) ).

fof(f368,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(X1,X2)
      | ssList(X1)
      | ~ ssItem(X0)
      | ~ ssItem(X2)
      | memberP(cons(X0,X1),X2)
      | X0 = X2 ),
    inference(consistent_polarity_flipping,[],[f174]) ).

fof(f382,plain,
    ! [X2,X0,X1] :
      ( ~ memberP(app(X0,cons(X1,X2)),X1)
      | ssList(X0)
      | ~ ssItem(X1)
      | ssList(app(X0,cons(X1,X2)))
      | ssList(X2) ),
    inference(consistent_polarity_flipping,[],[f231]) ).

fof(f386,plain,
    ! [X2,X3,X0,X1] :
      ( ssList(X3)
      | ssList(X2)
      | ssList(X0)
      | ~ ssItem(X1)
      | duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
      | ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
    inference(consistent_polarity_flipping,[],[f233]) ).

fof(f393,plain,
    ~ ssList(sk3),
    inference(consistent_polarity_flipping,[],[f212]) ).

fof(f394,plain,
    ~ ssList(sk4),
    inference(consistent_polarity_flipping,[],[f213]) ).

fof(f397,plain,
    ( ~ memberP(sk4,sk5)
    | ~ memberP(sk3,sk5) ),
    inference(consistent_polarity_flipping,[],[f214]) ).

fof(f398,plain,
    ( memberP(sk4,sk5)
    | memberP(sk3,sk5) ),
    inference(consistent_polarity_flipping,[],[f215]) ).

fof(f399,plain,
    ( neq(sk4,nil)
    | ~ neq(sk3,nil) ),
    inference(consistent_polarity_flipping,[],[f210]) ).

fof(f400,plain,
    ( neq(sk4,nil)
    | ssList(app(tl(sk3),cons(hd(sk3),nil)))
    | sk4 = app(tl(sk3),cons(hd(sk3),nil))
    | ssList(tl(sk3))
    | ssList(cons(hd(sk3),nil))
    | ~ ssItem(hd(sk3))
    | neq(nil,sk3)
    | neq(nil,sk3) ),
    inference(consistent_polarity_flipping,[],[f243]) ).

fof(f401,plain,
    ( neq(sk4,nil)
    | ssList(app(tl(sk3),cons(hd(sk3),nil)))
    | sk4 = app(tl(sk3),cons(hd(sk3),nil))
    | ssList(tl(sk3))
    | ssList(cons(hd(sk3),nil))
    | ~ ssItem(hd(sk3))
    | neq(nil,sk3) ),
    inference(duplicate_literal_removal,[],[f400]) ).

fof(f406,plain,
    ! [X1] :
      ( neq(X1,X1)
      | ssList(X1) ),
    inference(duplicate_literal_removal,[],[f328]) ).

fof(f409,definition,
    ( spl0_1
  <=> neq(nil,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f410,plain,
    ( ~ neq(nil,sk3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f411,plain,
    ( neq(nil,sk3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f409]) ).

fof(f413,definition,
    ( spl0_2
  <=> ssItem(hd(sk3)) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f414,plain,
    ( ssItem(hd(sk3))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f415,plain,
    ( ~ ssItem(hd(sk3))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f413]) ).

fof(f417,definition,
    ( spl0_3
  <=> ssList(cons(hd(sk3),nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f418,plain,
    ( ~ ssList(cons(hd(sk3),nil))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f419,plain,
    ( ssList(cons(hd(sk3),nil))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f421,definition,
    ( spl0_4
  <=> ssList(tl(sk3)) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f422,plain,
    ( ~ ssList(tl(sk3))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f423,plain,
    ( ssList(tl(sk3))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f425,definition,
    ( spl0_5
  <=> sk4 = app(tl(sk3),cons(hd(sk3),nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f427,plain,
    ( sk4 = app(tl(sk3),cons(hd(sk3),nil))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f429,definition,
    ( spl0_6
  <=> ssList(app(tl(sk3),cons(hd(sk3),nil))) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f431,plain,
    ( ssList(app(tl(sk3),cons(hd(sk3),nil)))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f433,definition,
    ( spl0_7
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f435,plain,
    ( neq(sk4,nil)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f436,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f401,f433,f429,f425,f421,f417,f413,f409]) ).

fof(f438,definition,
    ( spl0_8
  <=> neq(sk3,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f439,plain,
    ( neq(sk3,nil)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f440,plain,
    ( ~ neq(sk3,nil)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f441,plain,
    ( ~ spl0_8
    | spl0_7 ),
    inference(avatar_split_clause,[],[f399,f433,f438]) ).

fof(f443,definition,
    ( spl0_9
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f444,plain,
    ( nil = sk4
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f447,definition,
    ( spl0_10
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f448,plain,
    ( nil != sk3
    | spl0_10 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f449,plain,
    ( nil = sk3
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f450,plain,
    ( ~ spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f209,f447,f443]) ).

fof(f452,definition,
    ( spl0_11
  <=> memberP(sk3,sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f453,plain,
    ( ~ memberP(sk3,sk5)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f454,plain,
    ( memberP(sk3,sk5)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f456,definition,
    ( spl0_12
  <=> memberP(sk4,sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f457,plain,
    ( ~ memberP(sk4,sk5)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f458,plain,
    ( memberP(sk4,sk5)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f459,plain,
    ( spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f398,f456,f452]) ).

fof(f460,plain,
    ( ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f397,f456,f452]) ).

fof(f466,definition,
    ( spl0_14
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f467,plain,
    ( ~ ssList(nil)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f494,definition,
    ( spl0_20
  <=> ! [X1] : ssItem(X1) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f495,plain,
    ( ! [X1] : ssItem(X1)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f494]) ).

fof(f497,definition,
    ( spl0_21
  <=> ! [X0] :
        ( ssList(X0)
        | ~ duplicatefreeP(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f498,plain,
    ( ! [X0] :
        ( ~ duplicatefreeP(X0)
        | ssList(X0) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f499,plain,
    ( spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f288,f497,f494]) ).

fof(f502,plain,
    ~ spl0_14,
    inference(avatar_split_clause,[],[f248,f466]) ).

fof(f567,plain,
    ( ssList(sk3)
    | nil = sk3
    | spl0_2 ),
    inference(resolution,[],[f292,f415]) ).

fof(f568,plain,
    ( nil = sk3
    | spl0_2 ),
    inference(forward_subsumption_resolution,[],[f567,f393]) ).

fof(f569,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f568,f413,f447]) ).

fof(f573,plain,
    ( ~ neq(nil,nil)
    | spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f440,f449]) ).

fof(f596,plain,
    ( ssList(nil)
    | spl0_8
    | ~ spl0_10 ),
    inference(resolution,[],[f573,f406]) ).

fof(f598,plain,
    ( $false
    | spl0_8
    | ~ spl0_10
    | spl0_14 ),
    inference(forward_subsumption_resolution,[],[f596,f467]) ).

fof(f599,plain,
    ( spl0_8
    | ~ spl0_10
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f598]) ).

fof(f600,plain,
    ( neq(nil,nil)
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f439,f449]) ).

fof(f653,plain,
    ( ssList(sk4)
    | ssList(nil)
    | nil = sk4
    | ~ spl0_7 ),
    inference(resolution,[],[f316,f435]) ).

fof(f658,plain,
    ( ssList(nil)
    | nil = sk4
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f653,f394]) ).

fof(f659,plain,
    ( nil = sk4
    | ~ spl0_7
    | spl0_14 ),
    inference(forward_subsumption_resolution,[],[f658,f467]) ).

fof(f662,plain,
    ( spl0_9
    | ~ spl0_7
    | spl0_14 ),
    inference(avatar_split_clause,[],[f659,f466,f433,f443]) ).

fof(f672,plain,
    ( ssList(sk3)
    | nil = sk3
    | ~ spl0_4 ),
    inference(resolution,[],[f423,f291]) ).

fof(f673,plain,
    ( nil = sk3
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f672,f393]) ).

fof(f674,plain,
    ( spl0_10
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f673,f421,f447]) ).

fof(f677,plain,
    ( ssList(tl(sk3))
    | ssList(cons(hd(sk3),nil))
    | ~ spl0_6 ),
    inference(resolution,[],[f431,f301]) ).

fof(f678,plain,
    ( ssList(cons(hd(sk3),nil))
    | spl0_4
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f677,f422]) ).

fof(f679,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f678,f429,f421,f417]) ).

fof(f749,plain,
    ( sk3 = cons(hd(sk3),tl(sk3))
    | nil = sk3 ),
    inference(resolution,[],[f319,f393]) ).

fof(f752,plain,
    ( sk3 = cons(hd(sk3),tl(sk3))
    | spl0_10 ),
    inference(forward_subsumption_resolution,[],[f749,f448]) ).

fof(f988,plain,
    ( ssList(nil)
    | ssList(sk3)
    | nil = sk3
    | ~ spl0_1 ),
    inference(resolution,[],[f411,f316]) ).

fof(f989,plain,
    ( ssList(sk3)
    | nil = sk3
    | ~ spl0_1
    | spl0_14 ),
    inference(forward_subsumption_resolution,[],[f988,f467]) ).

fof(f991,plain,
    ( nil = sk3
    | ~ spl0_1
    | spl0_14 ),
    inference(forward_subsumption_resolution,[],[f989,f393]) ).

fof(f1001,plain,
    ( $false
    | ~ spl0_1
    | spl0_10
    | spl0_14 ),
    inference(forward_subsumption_resolution,[],[f991,f448]) ).

fof(f1002,plain,
    ( ~ spl0_1
    | spl0_10
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1001]) ).

fof(f1003,plain,
    ( ssList(nil)
    | ~ ssItem(hd(sk3))
    | ~ spl0_3 ),
    inference(resolution,[],[f419,f302]) ).

fof(f1004,plain,
    ( ~ ssItem(hd(sk3))
    | ~ spl0_3
    | spl0_14 ),
    inference(forward_subsumption_resolution,[],[f1003,f467]) ).

fof(f1005,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | spl0_14 ),
    inference(forward_subsumption_resolution,[],[f1004,f414]) ).

fof(f1006,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1005]) ).

fof(f1273,plain,
    ( ! [X0] :
        ( ~ memberP(sk4,X0)
        | ssList(cons(hd(sk3),nil))
        | ssList(tl(sk3))
        | ~ ssItem(X0)
        | memberP(tl(sk3),X0) )
    | ~ spl0_5 ),
    inference(superposition,[],[f350,f427]) ).

fof(f1278,plain,
    ( ! [X0] :
        ( ~ memberP(sk4,X0)
        | ssList(tl(sk3))
        | ~ ssItem(X0)
        | memberP(tl(sk3),X0) )
    | spl0_3
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f1273,f418]) ).

fof(f1279,plain,
    ( ! [X0] :
        ( ~ memberP(sk4,X0)
        | ~ ssItem(X0)
        | memberP(tl(sk3),X0) )
    | spl0_3
    | spl0_4
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f1278,f422]) ).

fof(f1755,plain,
    ( ! [X0,X1] :
        ( ssList(X0)
        | ssList(X1)
        | app(app(X1,X0),tl(sk3)) = app(X1,app(X0,tl(sk3))) )
    | spl0_4 ),
    inference(resolution,[],[f358,f422]) ).

fof(f2072,plain,
    ( ~ memberP(sk4,hd(sk3))
    | ssList(tl(sk3))
    | ~ ssItem(hd(sk3))
    | ssList(sk4)
    | ssList(nil)
    | ~ spl0_5 ),
    inference(superposition,[],[f382,f427]) ).

fof(f2074,plain,
    ( ~ memberP(sk4,hd(sk3))
    | ~ ssItem(hd(sk3))
    | ssList(sk4)
    | ssList(nil)
    | spl0_4
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f2072,f422]) ).

fof(f2078,plain,
    ( ~ memberP(sk4,hd(sk3))
    | ssList(sk4)
    | ssList(nil)
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f2074,f414]) ).

fof(f2082,plain,
    ( ~ memberP(sk4,hd(sk3))
    | ssList(nil)
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f2078,f394]) ).

fof(f2083,plain,
    ( ~ memberP(sk4,hd(sk3))
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | spl0_14 ),
    inference(forward_subsumption_resolution,[],[f2082,f467]) ).

fof(f2109,plain,
    ( ! [X2,X3,X0,X1] :
        ( ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
        | ssList(X2)
        | ssList(X0)
        | ~ ssItem(X1)
        | ssList(X3) )
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f386,f498]) ).

fof(f2114,plain,
    ( ! [X0] :
        ( ssList(app(sk4,cons(hd(sk3),X0)))
        | ssList(nil)
        | ssList(tl(sk3))
        | ~ ssItem(hd(sk3))
        | ssList(X0) )
    | ~ spl0_5
    | ~ spl0_21 ),
    inference(superposition,[],[f2109,f427]) ).

fof(f2121,plain,
    ( ! [X0] :
        ( ssList(app(sk4,cons(hd(sk3),X0)))
        | ssList(tl(sk3))
        | ~ ssItem(hd(sk3))
        | ssList(X0) )
    | ~ spl0_5
    | spl0_14
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f2114,f467]) ).

fof(f2129,plain,
    ( ! [X0] :
        ( ssList(app(sk4,cons(hd(sk3),X0)))
        | ~ ssItem(hd(sk3))
        | ssList(X0) )
    | spl0_4
    | ~ spl0_5
    | spl0_14
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f2121,f422]) ).

fof(f2140,plain,
    ( ! [X0] :
        ( ssList(app(sk4,cons(hd(sk3),X0)))
        | ssList(X0) )
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | spl0_14
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f2129,f414]) ).

fof(f2864,plain,
    ( ssList(app(sk4,sk3))
    | ssList(tl(sk3))
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | spl0_14
    | ~ spl0_21 ),
    inference(superposition,[],[f2140,f752]) ).

fof(f2865,plain,
    ( ssList(app(sk4,sk3))
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | spl0_14
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f2864,f422]) ).

fof(f2958,plain,
    ( ssList(sk4)
    | ssList(sk3)
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | spl0_14
    | ~ spl0_21 ),
    inference(resolution,[],[f2865,f301]) ).

fof(f2959,plain,
    ( ssList(sk3)
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | spl0_14
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f2958,f394]) ).

fof(f2960,plain,
    ( $false
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | spl0_14
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f2959,f393]) ).

fof(f2961,plain,
    ( ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | spl0_14
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f2960]) ).

fof(f2991,plain,
    ( ! [X0,X1] :
        ( ssList(X1)
        | cons(X0,X1) = app(cons(X0,nil),X1) )
    | ~ spl0_20 ),
    inference(backward_subsumption_resolution,[],[f333,f495]) ).

fof(f2997,plain,
    ( ! [X2,X0,X1] :
        ( ~ memberP(cons(X2,X0),X1)
        | ssList(X0)
        | ~ ssItem(X2)
        | memberP(X0,X1) )
    | ~ spl0_20 ),
    inference(backward_subsumption_resolution,[],[f349,f495]) ).

fof(f2998,plain,
    ( ! [X2,X0,X1] :
        ( ~ memberP(app(X0,X2),X1)
        | ssList(X2)
        | ssList(X0)
        | memberP(X0,X1) )
    | ~ spl0_20 ),
    inference(backward_subsumption_resolution,[],[f350,f495]) ).

fof(f3003,plain,
    ( ! [X2,X0,X1] :
        ( ~ memberP(X1,X2)
        | ssList(X1)
        | ssList(X0)
        | ~ memberP(X0,X2)
        | memberP(app(X0,X1),X2) )
    | ~ spl0_20 ),
    inference(backward_subsumption_resolution,[],[f365,f495]) ).

fof(f3006,plain,
    ( ! [X2,X0,X1] :
        ( ~ memberP(X1,X2)
        | ssList(X1)
        | ~ ssItem(X2)
        | memberP(cons(X0,X1),X2)
        | X0 = X2 )
    | ~ spl0_20 ),
    inference(backward_subsumption_resolution,[],[f368,f495]) ).

fof(f3026,plain,
    ( ! [X0] :
        ( ~ memberP(sk4,X0)
        | memberP(tl(sk3),X0) )
    | spl0_3
    | spl0_4
    | ~ spl0_5
    | ~ spl0_20 ),
    inference(backward_subsumption_resolution,[],[f1279,f495]) ).

fof(f3041,plain,
    ( ! [X2,X0,X1] :
        ( ~ memberP(cons(X2,X0),X1)
        | ssList(X0)
        | memberP(X0,X1) )
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f2997,f495]) ).

fof(f3044,plain,
    ( ! [X2,X0,X1] :
        ( ~ memberP(X1,X2)
        | ssList(X1)
        | memberP(cons(X0,X1),X2)
        | X0 = X2 )
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f3006,f495]) ).

fof(f3362,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ssList(tl(sk3))
        | memberP(tl(sk3),X0) )
    | spl0_10
    | ~ spl0_20 ),
    inference(superposition,[],[f3041,f752]) ).

fof(f3371,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | memberP(tl(sk3),X0) )
    | spl0_4
    | spl0_10
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f3362,f422]) ).

fof(f3407,plain,
    ( ! [X0] : cons(X0,tl(sk3)) = app(cons(X0,nil),tl(sk3))
    | spl0_4
    | ~ spl0_20 ),
    inference(resolution,[],[f2991,f422]) ).

fof(f3699,plain,
    ( ! [X0] :
        ( ssList(sk3)
        | ssList(X0)
        | ~ memberP(X0,sk5)
        | memberP(app(X0,sk3),sk5) )
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(resolution,[],[f3003,f454]) ).

fof(f3702,plain,
    ( ! [X0] :
        ( ~ memberP(X0,sk5)
        | ssList(X0)
        | memberP(app(X0,sk3),sk5) )
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f3699,f393]) ).

fof(f5427,definition,
    ( spl0_154
  <=> sk3 = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).

fof(f5428,plain,
    ( sk3 != sk4
    | spl0_154 ),
    inference(avatar_component_clause,[],[f5427]) ).

fof(f5429,plain,
    ( sk3 = sk4
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f5427]) ).

fof(f5528,plain,
    ( ~ memberP(sk3,sk5)
    | spl0_12
    | ~ spl0_154 ),
    inference(superposition,[],[f457,f5429]) ).

fof(f5588,plain,
    ( $false
    | ~ spl0_11
    | spl0_12
    | ~ spl0_154 ),
    inference(forward_subsumption_resolution,[],[f5528,f454]) ).

fof(f5589,plain,
    ( ~ spl0_11
    | spl0_12
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f5588]) ).

fof(f7215,plain,
    ( ! [X0] :
        ( ssList(X0)
        | app(app(X0,cons(hd(sk3),nil)),tl(sk3)) = app(X0,app(cons(hd(sk3),nil),tl(sk3))) )
    | spl0_3
    | spl0_4 ),
    inference(resolution,[],[f1755,f418]) ).

fof(f7276,plain,
    ( ! [X0] :
        ( app(X0,cons(hd(sk3),tl(sk3))) = app(app(X0,cons(hd(sk3),nil)),tl(sk3))
        | ssList(X0) )
    | spl0_3
    | spl0_4
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f7215,f3407]) ).

fof(f7280,plain,
    ( ! [X0] :
        ( ssList(X0)
        | app(X0,sk3) = app(app(X0,cons(hd(sk3),nil)),tl(sk3)) )
    | spl0_3
    | spl0_4
    | spl0_10
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f7276,f752]) ).

fof(f14755,plain,
    ( memberP(tl(sk3),sk5)
    | spl0_4
    | spl0_10
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(resolution,[],[f3371,f454]) ).

fof(f14758,plain,
    ( ssList(tl(sk3))
    | memberP(app(tl(sk3),sk3),sk5)
    | spl0_4
    | spl0_10
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(resolution,[],[f14755,f3702]) ).

fof(f14767,plain,
    ( memberP(app(tl(sk3),sk3),sk5)
    | spl0_4
    | spl0_10
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f14758,f422]) ).

fof(f142050,definition,
    ( spl0_5719
  <=> sk5 = hd(sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_5719])],[avatar_definition]) ).

fof(f142052,plain,
    ( sk5 = hd(sk3)
    | ~ spl0_5719 ),
    inference(avatar_component_clause,[],[f142050]) ).

fof(f142095,plain,
    ( ~ memberP(sk4,sk5)
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | spl0_14
    | ~ spl0_5719 ),
    inference(superposition,[],[f2083,f142052]) ).

fof(f207682,plain,
    ( app(tl(sk3),sk3) = app(app(tl(sk3),cons(hd(sk3),nil)),tl(sk3))
    | spl0_3
    | spl0_4
    | spl0_10
    | ~ spl0_20 ),
    inference(resolution,[],[f7280,f422]) ).

fof(f207686,plain,
    ( app(sk4,tl(sk3)) = app(tl(sk3),sk3)
    | spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f207682,f427]) ).

fof(f215249,plain,
    ( memberP(app(sk4,tl(sk3)),sk5)
    | spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(superposition,[],[f14767,f207686]) ).

fof(f215728,plain,
    ( ssList(tl(sk3))
    | ssList(sk4)
    | memberP(sk4,sk5)
    | spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(resolution,[],[f215249,f2998]) ).

fof(f215745,plain,
    ( ssList(sk4)
    | memberP(sk4,sk5)
    | spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f215728,f422]) ).

fof(f215746,plain,
    ( memberP(sk4,sk5)
    | spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | ~ spl0_11
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f215745,f394]) ).

fof(f215747,plain,
    ( $false
    | spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | ~ spl0_11
    | spl0_12
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f215746,f457]) ).

fof(f215748,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | ~ spl0_11
    | spl0_12
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f215747]) ).

fof(f215825,plain,
    ( memberP(tl(sk3),sk5)
    | spl0_3
    | spl0_4
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(resolution,[],[f458,f3026]) ).

fof(f216101,plain,
    ( ! [X0] :
        ( ssList(tl(sk3))
        | memberP(cons(X0,tl(sk3)),sk5)
        | sk5 = X0 )
    | spl0_3
    | spl0_4
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(resolution,[],[f215825,f3044]) ).

fof(f216102,plain,
    ( ! [X0] :
        ( memberP(cons(X0,tl(sk3)),sk5)
        | sk5 = X0 )
    | spl0_3
    | spl0_4
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f216101,f422]) ).

fof(f243285,plain,
    ( memberP(sk3,sk5)
    | sk5 = hd(sk3)
    | spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(superposition,[],[f216102,f752]) ).

fof(f243286,plain,
    ( sk5 = hd(sk3)
    | spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | spl0_11
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f243285,f453]) ).

fof(f243294,plain,
    ( $false
    | ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_12
    | spl0_14
    | ~ spl0_5719 ),
    inference(forward_subsumption_resolution,[],[f142095,f458]) ).

fof(f243295,plain,
    ( ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_12
    | spl0_14
    | ~ spl0_5719 ),
    inference(avatar_contradiction_clause,[],[f243294]) ).

fof(f243303,plain,
    ( spl0_5719
    | spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | spl0_11
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f243286,f494,f456,f452,f447,f425,f421,f417,f142050]) ).

fof(f248073,plain,
    ( memberP(nil,sk5)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f458,f444]) ).

fof(f248144,plain,
    ( nil != sk3
    | ~ spl0_9
    | spl0_154 ),
    inference(superposition,[],[f5428,f444]) ).

fof(f248549,plain,
    ( ~ spl0_10
    | ~ spl0_9
    | spl0_154 ),
    inference(avatar_split_clause,[],[f248144,f5427,f443,f447]) ).

fof(f249325,plain,
    ( ~ neq(nil,nil)
    | spl0_1
    | ~ spl0_10 ),
    inference(superposition,[],[f410,f449]) ).

fof(f249330,plain,
    ( ~ memberP(nil,sk5)
    | ~ spl0_10
    | spl0_11 ),
    inference(superposition,[],[f453,f449]) ).

fof(f259483,plain,
    ( $false
    | spl0_1
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f249325,f600]) ).

fof(f259484,plain,
    ( spl0_1
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f259483]) ).

fof(f261143,plain,
    ( $false
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f249330,f248073]) ).

fof(f261144,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f261143]) ).

cnf(s1,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_3
    | spl0_4
    | spl0_5
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f436]) ).

cnf(s2,plain,
    ( spl0_7
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f441]) ).

cnf(s3,plain,
    ( ~ spl0_9
    | spl0_10 ),
    inference(sat_conversion,[],[f450]) ).

cnf(s4,plain,
    ( spl0_11
    | spl0_12 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s5,plain,
    ( ~ spl0_11
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f460]) ).

cnf(s12,plain,
    ( spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s15,plain,
    ~ spl0_14,
    inference(sat_conversion,[],[f502]) ).

cnf(s17,plain,
    ( spl0_2
    | spl0_10 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s18,plain,
    ( spl0_8
    | ~ spl0_10
    | spl0_14 ),
    inference(sat_conversion,[],[f599]) ).

cnf(s20,plain,
    ( ~ spl0_7
    | spl0_9
    | spl0_14 ),
    inference(sat_conversion,[],[f662]) ).

cnf(s22,plain,
    ( ~ spl0_4
    | spl0_10 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s23,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f679]) ).

cnf(s35,plain,
    ( ~ spl0_1
    | spl0_10
    | spl0_14 ),
    inference(sat_conversion,[],[f1002]) ).

cnf(s36,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | spl0_14 ),
    inference(sat_conversion,[],[f1006]) ).

cnf(s88,plain,
    ( ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | spl0_14
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f2961]) ).

cnf(s240,plain,
    ( ~ spl0_11
    | spl0_12
    | ~ spl0_154 ),
    inference(sat_conversion,[],[f5589]) ).

cnf(s8033,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | ~ spl0_11
    | spl0_12
    | ~ spl0_20 ),
    inference(sat_conversion,[],[f215748]) ).

cnf(s10050,plain,
    ( ~ spl0_2
    | spl0_4
    | ~ spl0_5
    | ~ spl0_12
    | spl0_14
    | ~ spl0_5719 ),
    inference(sat_conversion,[],[f243295]) ).

cnf(s10054,plain,
    ( spl0_3
    | spl0_4
    | ~ spl0_5
    | spl0_10
    | spl0_11
    | ~ spl0_12
    | ~ spl0_20
    | spl0_5719 ),
    inference(sat_conversion,[],[f243303]) ).

cnf(s11012,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | spl0_154 ),
    inference(sat_conversion,[],[f248549]) ).

cnf(s11806,plain,
    ( spl0_1
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f259484]) ).

cnf(s11809,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f261144]) ).

cnf(s11967,plain,
    ( ~ spl0_10
    | spl0_1 ),
    inference(rat,[],[s11806,s18,s15]) ).

cnf(s11968,plain,
    ( spl0_11
    | spl0_1 ),
    inference(rat,[],[s10054,s10050,s4,s12,s88,s1,s23,s36,s20,s3,s17,s22,s11967,s15]) ).

cnf(s11969,plain,
    spl0_1,
    inference(rat,[],[s8033,s5,s11968,s12,s88,s1,s23,s20,s36,s3,s17,s22,s11967,s15]) ).

cnf(s11970,plain,
    spl0_10,
    inference(rat,[],[s35,s15,s11969]) ).

cnf(s11988,plain,
    spl0_8,
    inference(rat,[],[s18,s15,s11970]) ).

cnf(s12003,plain,
    spl0_7,
    inference(rat,[],[s2,s11988]) ).

cnf(s12007,plain,
    spl0_9,
    inference(rat,[],[s20,s15,s12003]) ).

cnf(s12030,plain,
    spl0_154,
    inference(rat,[],[s11012,s11970,s12007]) ).

cnf(s12057,plain,
    spl0_11,
    inference(rat,[],[s11809,s4,s11970,s12007]) ).

cnf(s12059,plain,
    ~ spl0_12,
    inference(rat,[],[s5,s12057]) ).

cnf(s12060,plain,
    $false,
    inference(rat,[],[s240,s12030,s12059,s12057]) ).

fof(f261145,plain,
    $false,
    inference(avatar_sat_refutation,[],[s12060]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC376-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19  % Computer : n011.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Mon Sep 28 09:21:31 UTC 2026
% 0.07/0.20  % CPUTime  : 
% 0.07/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22  Running first-order model finding
% 0.07/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.30/2.40  % (3267982)Will run a generic schedule for satisfiability detection.
% 15.30/2.40  % (3267988)% WARNING: option uhcvi not known.
% 15.30/2.40  % (3267988)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=778873869:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.30/2.40  % (3267987)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=146430035_2999 on theBenchmark for (2999ds/0Mi)
% 15.30/2.40  % (3267989)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1864355836:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.30/2.40  % (3267990)dis+10_1_sil=32000:sp=arity:random_seed=320873103:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.30/2.40  % (3267991)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2556578454:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.30/2.40  % (3267992)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1846608818:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.30/2.40  % (3267993)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2130606235:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.30/2.40  % TRYING [1]
% 15.30/2.40  % TRYING [2]
% 15.30/2.40  % TRYING [3]
% 15.30/2.40  % TRYING [4]
% 15.30/2.40  % (3267991)Instruction limit reached! 
% 15.30/2.40  % (3267991)------------------------------
% 15.30/2.40  % (3267991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.40  % (3267991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.40  % (3267991)CaDiCaL version: 2.1.3
% 15.30/2.40  % (3267991)Termination reason: Instruction limit
% 15.30/2.40  % (3267991)Termination phase: Saturation
% 15.30/2.40  % (3267991)Time elapsed: 0.061 s
% 15.30/2.40  % (3267991)Peak memory usage: 13 MB
% 15.30/2.40  % (3267991)Instructions burned: 116 (million)
% 15.30/2.40  % (3267990)Instruction limit reached! 
% 15.30/2.40  % (3267990)------------------------------
% 15.30/2.40  % (3267990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.40  % (3267990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.40  % (3267990)CaDiCaL version: 2.1.3
% 15.30/2.40  % (3267990)Termination reason: Instruction limit
% 15.30/2.40  % (3267990)Termination phase: Saturation
% 15.30/2.40  % (3267990)Time elapsed: 0.062 s
% 15.30/2.40  % (3267990)Peak memory usage: 13 MB
% 15.30/2.40  % (3267990)Instructions burned: 108 (million)
% 15.30/2.40  % (3267992)Instruction limit reached! 
% 15.30/2.40  % (3267992)------------------------------
% 15.30/2.40  % (3267992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.40  % (3267992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.40  % (3267992)CaDiCaL version: 2.1.3
% 15.30/2.40  % (3267992)Termination reason: Instruction limit
% 15.30/2.40  % (3267992)Termination phase: Saturation
% 15.30/2.40  % (3267992)Time elapsed: 0.068 s
% 15.30/2.40  % (3267992)Peak memory usage: 14 MB
% 15.30/2.40  % (3267992)Instructions burned: 132 (million)
% 15.30/2.40  % (3268002)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=170796035:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.30/2.40  % (3268001)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3504610409:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 15.30/2.40  % (3268003)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1928918647:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.30/2.40  % TRYING [1]
% 15.30/2.40  % TRYING [2]
% 15.30/2.40  % (3267993)Instruction limit reached! 
% 15.30/2.40  % (3267993)------------------------------
% 15.30/2.40  % (3267993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.40  % (3267993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.40  % (3267993)CaDiCaL version: 2.1.3
% 15.30/2.40  % (3267993)Termination reason: Instruction limit
% 15.30/2.40  % (3267993)Termination phase: Saturation
% 15.30/2.40  % (3267993)Time elapsed: 0.095 s
% 15.30/2.40  % (3267993)Peak memory usage: 14 MB
% 15.30/2.40  % (3267993)Instructions burned: 160 (million)
% 15.30/2.40  % TRYING [5]
% 15.30/2.40  % TRYING [3]
% 15.30/2.40  % (3268007)ott-21_1_sil=16000:fs=off:random_seed=3564946041:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.30/2.40  % TRYING [4]
% 15.30/2.40  % (3268002)Instruction limit reached! 
% 15.30/2.40  % (3268002)------------------------------
% 15.30/2.40  % (3268002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.08/4.11  % (3268002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.11  % (3268002)CaDiCaL version: 2.1.3
% 23.08/4.11  % (3268002)Termination reason: Instruction limit
% 23.08/4.11  % (3268002)Termination phase: Saturation
% 23.08/4.11  % (3268002)Time elapsed: 0.067 s
% 23.08/4.11  % (3268002)Peak memory usage: 13 MB
% 23.08/4.11  % (3268002)Instructions burned: 131 (million)
% 23.08/4.11  % (3268009)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3179926794:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 23.08/4.11  % TRYING [5]
% 23.08/4.11  % (3268007)Instruction limit reached! 
% 23.08/4.11  % (3268007)------------------------------
% 23.08/4.11  % (3268007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.08/4.11  % (3268007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.11  % (3268007)CaDiCaL version: 2.1.3
% 23.08/4.11  % (3268007)Termination reason: Instruction limit
% 23.08/4.11  % (3268007)Termination phase: Saturation
% 23.08/4.11  % (3268007)Time elapsed: 0.097 s
% 23.08/4.11  % (3268007)Peak memory usage: 13 MB
% 23.08/4.11  % (3268007)Instructions burned: 181 (million)
% 23.08/4.11  % (3268011)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=911902292:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 23.08/4.11  % TRYING [1]
% 23.08/4.11  % TRYING [2]
% 23.08/4.11  % TRYING [3]
% 23.08/4.11  % TRYING [6]
% 23.08/4.11  % TRYING [4]
% 23.08/4.11  % TRYING [6]
% 23.08/4.11  % (3268001)Instruction limit reached! 
% 23.08/4.11  % (3268001)------------------------------
% 23.08/4.11  % (3268001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.08/4.11  % (3268001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.11  % (3268001)CaDiCaL version: 2.1.3
% 23.08/4.11  % (3268001)Termination reason: Instruction limit
% 23.08/4.11  % (3268001)Termination phase: Finite model building constraint generation
% 23.08/4.11  % (3268001)Time elapsed: 0.278 s
% 23.08/4.11  % (3268001)Peak memory usage: 34 MB
% 23.08/4.11  % (3268001)Instructions burned: 717 (million)
% 23.08/4.11  % (3268013)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4224709778:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 23.08/4.11  % TRYING [5]
% 23.08/4.11  % (3268009)Instruction limit reached! 
% 23.08/4.11  % (3268009)------------------------------
% 23.08/4.11  % (3268009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.08/4.11  % (3268009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.11  % (3268009)CaDiCaL version: 2.1.3
% 23.08/4.11  % (3268009)Termination reason: Instruction limit
% 23.08/4.11  % (3268009)Termination phase: Saturation
% 23.08/4.11  % (3268009)Time elapsed: 0.324 s
% 23.08/4.11  % (3268009)Peak memory usage: 14 MB
% 23.08/4.11  % (3268009)Instructions burned: 478 (million)
% 23.08/4.11  % (3268015)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1096783560:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 23.08/4.11  % (3268003)Instruction limit reached! 
% 23.08/4.11  % (3268003)------------------------------
% 23.08/4.11  % (3268003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.08/4.11  % (3268003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.11  % (3268003)CaDiCaL version: 2.1.3
% 23.08/4.11  % (3268003)Termination reason: Instruction limit
% 23.08/4.11  % (3268003)Termination phase: Saturation
% 23.08/4.11  % (3268003)Time elapsed: 0.429 s
% 23.08/4.11  % (3268003)Peak memory usage: 20 MB
% 23.08/4.11  % (3268003)Instructions burned: 685 (million)
% 23.08/4.11  % (3268017)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3736561421:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 23.08/4.11  % (3268011)Instruction limit reached! 
% 23.08/4.11  % (3268011)------------------------------
% 23.08/4.11  % (3268011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.08/4.11  % (3268011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.11  % (3268011)CaDiCaL version: 2.1.3
% 23.08/4.11  % (3268011)Termination reason: Instruction limit
% 23.08/4.11  % (3268011)Termination phase: Finite model building SAT solving
% 23.08/4.11  % (3268011)Time elapsed: 0.343 s
% 23.08/4.11  % (3268011)Peak memory usage: 23 MB
% 23.08/4.11  % (3268011)Instructions burned: 868 (million)
% 23.08/4.11  % (3268019)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2931938975:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 23.08/4.11  % TRYING [14]
% 23.08/4.11  % TRYING [7]
% 23.08/4.11  % (3268015)Instruction limit reached! 
% 23.08/4.11  % (3268015)------------------------------
% 23.08/4.11  % (3268015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.08/4.11  % (3268015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.11  % (3268015)CaDiCaL version: 2.1.3
% 23.08/4.11  % (3268015)Termination reason: Instruction limit
% 23.08/4.11  % (3268015)Termination phase: Finite model building constraint generation
% 23.08/4.11  % (3268015)Time elapsed: 0.325 s
% 23.08/4.11  % (3268015)Peak memory usage: 72 MB
% 23.08/4.11  % (3268015)Instructions burned: 890 (million)
% 23.08/4.11  % (3268021)fmb+10_1_sil=64000:random_seed=2142111670:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 23.08/4.11  % TRYING [1]
% 23.08/4.11  % TRYING [2]
% 23.08/4.11  % TRYING [3]
% 23.08/4.11  % (3268017)Instruction limit reached! 
% 23.08/4.11  % (3268017)------------------------------
% 23.08/4.11  % (3268017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.08/4.11  % (3268017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.11  % (3268017)CaDiCaL version: 2.1.3
% 23.08/4.11  % (3268017)Termination reason: Instruction limit
% 23.08/4.11  % (3268017)Termination phase: Saturation
% 23.08/4.11  % (3268017)Time elapsed: 0.357 s
% 23.08/4.11  % (3268017)Peak memory usage: 20 MB
% 23.08/4.11  % (3268017)Instructions burned: 693 (million)
% 23.08/4.11  % (3268023)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1058429894:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 23.08/4.11  % TRYING [20]
% 23.08/4.11  % TRYING [4]
% 23.08/4.11  % (3268013)Instruction limit reached! 
% 23.08/4.11  % (3268013)------------------------------
% 23.08/4.11  % (3268013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.08/4.11  % (3268013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.11  % (3268013)CaDiCaL version: 2.1.3
% 23.08/4.11  % (3268013)Termination reason: Instruction limit
% 23.08/4.11  % (3268013)Termination phase: Saturation
% 23.08/4.11  % (3268013)Time elapsed: 0.681 s
% 23.08/4.11  % (3268013)Peak memory usage: 27 MB
% 23.08/4.11  % (3268013)Instructions burned: 1180 (million)
% 23.08/4.11  % (3268019)Instruction limit reached! 
% 23.08/4.11  % (3268019)------------------------------
% 23.08/4.11  % (3268019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.08/4.11  % (3268019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.11  % (3268019)CaDiCaL version: 2.1.3
% 23.08/4.11  % (3268019)Termination reason: Instruction limit
% 23.08/4.11  % (3268019)Termination phase: Saturation
% 23.08/4.11  % (3268019)Time elapsed: 0.478 s
% 23.08/4.11  % (3268019)Peak memory usage: 20 MB
% 23.08/4.11  % (3268019)Instructions burned: 879 (million)
% 23.08/4.11  % (3268025)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3061120022:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 23.08/4.11  % TRYING [8]
% 23.08/4.11  % (3268026)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1988897759:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 23.08/4.11  % TRYING [5]
% 23.08/4.11  % (3268025)Instruction limit reached! 
% 23.08/4.11  % (3268025)------------------------------
% 23.08/4.11  % (3268025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.08/4.11  % (3268025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.11  % (3268025)CaDiCaL version: 2.1.3
% 23.08/4.11  % (3268025)Termination reason: Instruction limit
% 23.08/4.11  % (3268025)Termination phase: Finite model building constraint generation
% 23.08/4.11  % (3268025)Time elapsed: 0.335 s
% 23.08/4.11  % (3268025)Peak memory usage: 79 MB
% 23.08/4.11  % (3268025)Instructions burned: 921 (million)
% 23.08/4.11  % (3268029)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1013028068:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 23.08/4.11  % TRYING [6]
% 23.08/4.11  % TRYING [8]
% 23.08/4.11  % (3268029)Instruction limit reached! 
% 23.08/4.11  % (3268029)------------------------------
% 23.08/4.11  % (3268029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.08/4.11  % (3268029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.11  % (3268029)CaDiCaL version: 2.1.3
% 23.08/4.11  % (3268029)Termination reason: Instruction limit
% 23.08/4.11  % (3268029)Termination phase: Saturation
% 23.08/4.11  % (3268029)Time elapsed: 0.654 s
% 23.08/4.11  % (3268029)Peak memory usage: 15 MB
% 23.08/4.11  % (3268029)Instructions burned: 1474 (million)
% 23.08/4.11  % (3268031)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3074818751:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 23.08/4.11  % TRYING [77]
% 23.08/4.11  % TRYING [7]
% 23.08/4.11  % TRYING [9]
% 23.08/4.11  % (3267988) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3267982-3267988"...
% 23.08/4.11  % (3267988)...printing done.
% 23.08/4.11  % (3267988)Refutation found. Thanks to Tanya!
% 23.08/4.11  % SZS status Unsatisfiable for theBenchmark
% 23.08/4.11  % SZS output start Proof for theBenchmark
% See solution above
% 23.08/4.12  % (3267988)------------------------------
% 23.08/4.12  % (3267988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.08/4.12  % (3267988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.08/4.12  % (3267988)CaDiCaL version: 2.1.3
% 23.08/4.12  % (3267988)Termination reason: Refutation
% 23.08/4.12  % (3267988)Time elapsed: 3.767 s
% 23.08/4.12  % (3267988)Peak memory usage: 131 MB
% 23.08/4.12  % (3267988)Instructions burned: 13392 (million)
% 23.08/4.12  % (3267982)Success in time 3.886 s
% 23.08/4.12  % Vampire exiting
%------------------------------------------------------------------------------