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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC248-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n002.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 01:05:15 PM UTC 2026

% Result   : Unsatisfiable 63.75s 19.46s
% Output   : Refutation 63.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  149 (  30 unt;  10 def)
%            Number of atoms       :  443 (  65 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  457 ( 163   ~; 284   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  11 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :  135 (   0 sgn 135   !;   0   ?)

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

fof(f60,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | frontsegP(X0,nil) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause60) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).

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

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).

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

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

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

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

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

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | app(cons(X0,nil),X1) = cons(X0,X1) ),
    file('/export/starexec/sandbox/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(f129,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X1
      | hd(app(X1,X0)) = hd(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause123) ).

fof(f138,axiom,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ frontsegP(X1,X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | X1 = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause129) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ frontsegP(X1,X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | X0 = X1 ),
    inference(reorient_equations,[],[f138]) ).

fof(f155,axiom,
    ! [X2,X0,X1] :
      ( app(X0,X1) != X2
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | frontsegP(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).

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/sandbox/benchmark/Axioms/SWC001-0.ax',clause179) ).

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

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

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

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

fof(f206,negated_conjecture,
    nil != sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f209,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | app(app(X1,cons(X0,nil)),X2) != sk1
      | memberP(X1,sk5(X2,X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f210,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | sk1 != app(app(X1,cons(X0,nil)),X2)
      | memberP(X1,sk5(X2,X1,X0)) ),
    inference(reorient_equations,[],[f209]) ).

fof(f218,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f227,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f200,f205]) ).

fof(f228,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f201,f204]) ).

fof(f229,plain,
    nil != sk3,
    inference(definition_unfolding,[],[f206,f205]) ).

fof(f231,plain,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | sk3 != app(app(X1,cons(X0,nil)),X2)
      | memberP(X1,sk5(X2,X1,X0)) ),
    inference(definition_unfolding,[],[f210,f205]) ).

fof(f246,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1))
      | frontsegP(app(X0,X1),X0) ),
    inference(equality_resolution,[],[f155]) ).

fof(f252,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(f263,plain,
    ~ ssList(nil),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f314,plain,
    ! [X0] :
      ( ~ frontsegP(X0,nil)
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f325,plain,
    ! [X0] :
      ( memberP(nil,X0)
      | ssItem(X0) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f326,plain,
    ! [X0,X1] :
      ( ssList(X0)
      | duplicatefreeP(X0)
      | ~ ssItem(X1) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f328,plain,
    ! [X0] :
      ( ssList(X0)
      | app(nil,X0) = X0 ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f329,plain,
    ! [X0] :
      ( ~ ssList(tl(X0))
      | ssList(X0)
      | nil = X0 ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f330,plain,
    ! [X0] :
      ( ~ ssItem(hd(X0))
      | ssList(X0)
      | nil = X0 ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f339,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X1,X0))
      | ssList(X1)
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f85]) ).

fof(f340,plain,
    ! [X0,X1] :
      ( ~ ssList(cons(X0,X1))
      | ssList(X1)
      | ssItem(X0) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f358,plain,
    ! [X0] :
      ( ssList(X0)
      | cons(hd(X0),tl(X0)) = X0
      | nil = X0 ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f374,plain,
    ! [X0,X1] :
      ( ssItem(X0)
      | ssList(X1)
      | cons(X0,X1) = app(cons(X0,nil),X1) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f377,plain,
    ! [X0,X1] :
      ( ssList(X0)
      | ssList(X1)
      | nil = X1
      | hd(app(X1,X0)) = hd(X1) ),
    inference(consistent_polarity_flipping,[],[f129]) ).

fof(f383,plain,
    ! [X0,X1] :
      ( frontsegP(X0,X1)
      | frontsegP(X1,X0)
      | ssList(X0)
      | ssList(X1)
      | X0 = X1 ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f398,plain,
    ! [X0,X1] :
      ( ssList(X1)
      | ssList(X0)
      | ssList(app(X0,X1))
      | ~ frontsegP(app(X0,X1),X0) ),
    inference(consistent_polarity_flipping,[],[f246]) ).

fof(f433,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,[],[f252]) ).

fof(f440,plain,
    ~ ssList(sk3),
    inference(consistent_polarity_flipping,[],[f227]) ).

fof(f441,plain,
    ~ ssList(sk4),
    inference(consistent_polarity_flipping,[],[f228]) ).

fof(f445,plain,
    ! [X2,X0,X1] :
      ( sk3 != app(app(X1,cons(X0,nil)),X2)
      | ssList(X1)
      | ssList(X2)
      | ssItem(X0)
      | ~ memberP(X1,sk5(X2,X1,X0)) ),
    inference(consistent_polarity_flipping,[],[f231]) ).

fof(f450,plain,
    ~ ssList(sk7),
    inference(consistent_polarity_flipping,[],[f218]) ).

fof(f461,definition,
    ( spl0_1
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f463,plain,
    ( nil != sk3
    | spl0_1 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f469,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f229,f461]) ).

fof(f475,definition,
    ( spl0_4
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f476,plain,
    ( ~ ssList(nil)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f503,definition,
    ( spl0_10
  <=> ! [X1] : ~ ssItem(X1) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f504,plain,
    ( ! [X1] : ~ ssItem(X1)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f506,definition,
    ( spl0_11
  <=> ! [X0] :
        ( ssList(X0)
        | duplicatefreeP(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f507,plain,
    ( ! [X0] :
        ( duplicatefreeP(X0)
        | ssList(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f506]) ).

fof(f508,plain,
    ( spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f326,f506,f503]) ).

fof(f511,plain,
    ~ spl0_4,
    inference(avatar_split_clause,[],[f263,f475]) ).

fof(f513,plain,
    ( ! [X2,X0,X1] :
        ( sk3 != app(app(X1,cons(X0,nil)),X2)
        | ssList(X2)
        | ssList(X1)
        | ~ memberP(X1,sk5(X2,X1,X0)) )
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f445,f504]) ).

fof(f524,plain,
    ( ! [X0] : memberP(nil,X0)
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f325,f504]) ).

fof(f623,plain,
    ( ! [X0,X1] :
        ( ~ ssList(cons(X0,X1))
        | ssList(X1) )
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f340,f504]) ).

fof(f624,plain,
    ( ! [X0,X1] :
        ( ssList(X0)
        | cons(X1,X0) = app(nil,cons(X1,X0)) )
    | ~ spl0_10 ),
    inference(resolution,[],[f623,f328]) ).

fof(f772,plain,
    ( sk3 = cons(hd(sk3),tl(sk3))
    | nil = sk3 ),
    inference(resolution,[],[f358,f440]) ).

fof(f799,plain,
    ( sk3 = cons(hd(sk3),tl(sk3))
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f772,f463]) ).

fof(f896,plain,
    ( ! [X0,X1] :
        ( ssList(X1)
        | cons(X0,X1) = app(cons(X0,nil),X1) )
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f374,f504]) ).

fof(f927,plain,
    ( ! [X0,X1] :
        ( ssList(X1)
        | cons(X0,tl(X1)) = app(cons(X0,nil),tl(X1))
        | nil = X1 )
    | ~ spl0_10 ),
    inference(resolution,[],[f896,f329]) ).

fof(f1011,definition,
    ( spl0_21
  <=> ssList(tl(sk3)) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f1012,plain,
    ( ~ ssList(tl(sk3))
    | spl0_21 ),
    inference(avatar_component_clause,[],[f1011]) ).

fof(f1013,plain,
    ( ssList(tl(sk3))
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f1011]) ).

fof(f1054,plain,
    ! [X0,X1] :
      ( ~ frontsegP(app(X0,X1),X0)
      | ssList(X0)
      | ssList(X1) ),
    inference(forward_subsumption_resolution,[],[f398,f339]) ).

fof(f1056,plain,
    ! [X0,X1] :
      ( ssList(X0)
      | ssList(X1)
      | frontsegP(X0,app(X0,X1))
      | ssList(app(X0,X1))
      | ssList(X0)
      | app(X0,X1) = X0 ),
    inference(resolution,[],[f1054,f383]) ).

fof(f1075,plain,
    ! [X0,X1] :
      ( ssList(X0)
      | ssList(X1)
      | frontsegP(X0,app(X0,X1))
      | ssList(app(X0,X1))
      | app(X0,X1) = X0 ),
    inference(duplicate_literal_removal,[],[f1056]) ).

fof(f1078,plain,
    ! [X0,X1] :
      ( frontsegP(X0,app(X0,X1))
      | ssList(X1)
      | ssList(X0)
      | app(X0,X1) = X0 ),
    inference(forward_subsumption_resolution,[],[f1075,f339]) ).

fof(f1151,plain,
    ! [X0] :
      ( ssList(X0)
      | nil = sk3
      | hd(sk3) = hd(app(sk3,X0)) ),
    inference(resolution,[],[f377,f440]) ).

fof(f1157,plain,
    ( ! [X0] :
        ( ssList(X0)
        | hd(sk3) = hd(app(sk3,X0)) )
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f1151,f463]) ).

fof(f1304,plain,
    ( ssList(sk3)
    | nil = sk3
    | ~ spl0_21 ),
    inference(resolution,[],[f1013,f329]) ).

fof(f1305,plain,
    ( nil = sk3
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f1304,f440]) ).

fof(f1306,plain,
    ( $false
    | spl0_1
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f1305,f463]) ).

fof(f1307,plain,
    ( spl0_1
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f1306]) ).

fof(f1340,definition,
    ( spl0_29
  <=> ssItem(hd(sk3)) ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f1341,plain,
    ( ~ ssItem(hd(sk3))
    | spl0_29 ),
    inference(avatar_component_clause,[],[f1340]) ).

fof(f1417,plain,
    ( hd(sk3) = hd(app(sk3,sk4))
    | spl0_1 ),
    inference(resolution,[],[f1157,f441]) ).

fof(f3063,plain,
    ( ! [X2,X3,X0,X1] :
        ( ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
        | ssList(X2)
        | ssList(X0)
        | ssItem(X1)
        | ssList(X3) )
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f433,f507]) ).

fof(f3079,definition,
    ( spl0_96
  <=> ! [X3] : ssList(X3) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f3080,plain,
    ( ! [X3] : ssList(X3)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f3079]) ).

fof(f3082,definition,
    ( spl0_97
  <=> ! [X2,X0,X1] :
        ( ssList(X0)
        | ssList(X1)
        | ssList(app(X1,cons(X2,X0)))
        | ssItem(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f3083,plain,
    ( ! [X2,X0,X1] :
        ( ssList(app(X1,cons(X2,X0)))
        | ssList(X1)
        | ssList(X0)
        | ssItem(X2) )
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f3082]) ).

fof(f4211,plain,
    ( ~ ssItem(hd(sk3))
    | ssList(app(sk3,sk4))
    | nil = app(sk3,sk4)
    | spl0_1 ),
    inference(superposition,[],[f330,f1417]) ).

fof(f5408,plain,
    ( ! [X2,X3,X0,X1] :
        ( ssList(X0)
        | ssList(X1)
        | ssItem(X2)
        | ssList(X3)
        | ssList(app(X1,cons(X2,X0)))
        | ssList(cons(X2,X3)) )
    | ~ spl0_11 ),
    inference(resolution,[],[f3063,f339]) ).

fof(f5447,plain,
    ( ! [X2,X3,X0,X1] :
        ( ssList(X0)
        | ssList(X1)
        | ssItem(X2)
        | ssList(X3)
        | ssList(app(X1,cons(X2,X0))) )
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f5408,f340]) ).

fof(f5468,plain,
    ( spl0_96
    | spl0_97
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f5447,f506,f3082,f3079]) ).

fof(f8226,definition,
    ( spl0_265
  <=> nil = app(sk3,sk4) ),
    introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).

fof(f8228,plain,
    ( nil = app(sk3,sk4)
    | ~ spl0_265 ),
    inference(avatar_component_clause,[],[f8226]) ).

fof(f8230,definition,
    ( spl0_266
  <=> ssList(app(sk3,sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).

fof(f8232,plain,
    ( ssList(app(sk3,sk4))
    | ~ spl0_266 ),
    inference(avatar_component_clause,[],[f8230]) ).

fof(f8233,plain,
    ( spl0_265
    | spl0_266
    | ~ spl0_29
    | spl0_1 ),
    inference(avatar_split_clause,[],[f4211,f461,f1340,f8230,f8226]) ).

fof(f10030,plain,
    ( $false
    | ~ spl0_96 ),
    inference(backward_subsumption_resolution,[],[f450,f3080]) ).

fof(f10066,plain,
    ~ spl0_96,
    inference(avatar_contradiction_clause,[],[f10030]) ).

fof(f21198,plain,
    ( ! [X0] :
        ( ssList(app(X0,sk3))
        | ssList(X0)
        | ssList(tl(sk3))
        | ssItem(hd(sk3)) )
    | spl0_1
    | ~ spl0_97 ),
    inference(superposition,[],[f3083,f799]) ).

fof(f21206,plain,
    ( ! [X0] :
        ( ssList(app(X0,sk3))
        | ssList(X0)
        | ssItem(hd(sk3)) )
    | spl0_1
    | spl0_21
    | ~ spl0_97 ),
    inference(forward_subsumption_resolution,[],[f21198,f1012]) ).

fof(f21220,plain,
    ( ! [X0] :
        ( ssList(app(X0,sk3))
        | ssList(X0) )
    | spl0_1
    | spl0_21
    | spl0_29
    | ~ spl0_97 ),
    inference(forward_subsumption_resolution,[],[f21206,f1341]) ).

fof(f28245,plain,
    ( ! [X0] :
        ( ssList(X0)
        | ssList(X0)
        | ssList(sk3) )
    | spl0_1
    | spl0_21
    | spl0_29
    | ~ spl0_97 ),
    inference(resolution,[],[f21220,f339]) ).

fof(f28251,plain,
    ( ! [X0] :
        ( ssList(X0)
        | ssList(sk3) )
    | spl0_1
    | spl0_21
    | spl0_29
    | ~ spl0_97 ),
    inference(duplicate_literal_removal,[],[f28245]) ).

fof(f28260,plain,
    ( ! [X0] : ssList(X0)
    | spl0_1
    | spl0_21
    | spl0_29
    | ~ spl0_97 ),
    inference(forward_subsumption_resolution,[],[f28251,f440]) ).

fof(f28265,plain,
    ( spl0_96
    | spl0_1
    | spl0_21
    | spl0_29
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f28260,f3082,f1340,f1011,f461,f3079]) ).

fof(f32778,plain,
    ( ! [X0] : cons(X0,nil) = app(nil,cons(X0,nil))
    | spl0_4
    | ~ spl0_10 ),
    inference(resolution,[],[f624,f476]) ).

fof(f43874,plain,
    ( ! [X0] :
        ( cons(X0,tl(sk3)) = app(cons(X0,nil),tl(sk3))
        | nil = sk3 )
    | ~ spl0_10 ),
    inference(resolution,[],[f927,f440]) ).

fof(f43878,plain,
    ( ! [X0] : cons(X0,tl(sk3)) = app(cons(X0,nil),tl(sk3))
    | spl0_1
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f43874,f463]) ).

fof(f87449,plain,
    ( frontsegP(sk3,nil)
    | ssList(sk4)
    | ssList(sk3)
    | nil = sk3
    | ~ spl0_265 ),
    inference(superposition,[],[f1078,f8228]) ).

fof(f87471,plain,
    ( ssList(sk4)
    | ssList(sk3)
    | nil = sk3
    | ~ spl0_265 ),
    inference(forward_subsumption_resolution,[],[f87449,f314]) ).

fof(f87496,plain,
    ( ssList(sk3)
    | nil = sk3
    | ~ spl0_265 ),
    inference(forward_subsumption_resolution,[],[f87471,f441]) ).

fof(f87513,plain,
    ( nil = sk3
    | ~ spl0_265 ),
    inference(forward_subsumption_resolution,[],[f87496,f440]) ).

fof(f87525,plain,
    ( $false
    | spl0_1
    | ~ spl0_265 ),
    inference(forward_subsumption_resolution,[],[f87513,f463]) ).

fof(f87526,plain,
    ( spl0_1
    | ~ spl0_265 ),
    inference(avatar_contradiction_clause,[],[f87525]) ).

fof(f87529,plain,
    ( ssList(sk3)
    | ssList(sk4)
    | ~ spl0_266 ),
    inference(resolution,[],[f8232,f339]) ).

fof(f87530,plain,
    ( ssList(sk4)
    | ~ spl0_266 ),
    inference(forward_subsumption_resolution,[],[f87529,f440]) ).

fof(f87531,plain,
    ( $false
    | ~ spl0_266 ),
    inference(forward_subsumption_resolution,[],[f87530,f441]) ).

fof(f87532,plain,
    ~ spl0_266,
    inference(avatar_contradiction_clause,[],[f87531]) ).

fof(f650511,plain,
    ( ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk3
        | ssList(X1)
        | ssList(nil)
        | ~ memberP(nil,sk5(X1,nil,X0)) )
    | spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f513,f32778]) ).

fof(f650770,plain,
    ( ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk3
        | ssList(X1)
        | ~ memberP(nil,sk5(X1,nil,X0)) )
    | spl0_4
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f650511,f476]) ).

fof(f650815,plain,
    ( ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk3
        | ssList(X1) )
    | spl0_4
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f650770,f524]) ).

fof(f657853,plain,
    ( ! [X0] :
        ( sk3 != cons(X0,tl(sk3))
        | ssList(tl(sk3)) )
    | spl0_1
    | spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f650815,f43878]) ).

fof(f657859,plain,
    ( ! [X0] : sk3 != cons(X0,tl(sk3))
    | spl0_1
    | spl0_4
    | ~ spl0_10
    | spl0_21 ),
    inference(forward_subsumption_resolution,[],[f657853,f1012]) ).

fof(f657895,plain,
    ( $false
    | spl0_1
    | spl0_4
    | ~ spl0_10
    | spl0_21 ),
    inference(backward_subsumption_resolution,[],[f799,f657859]) ).

fof(f657896,plain,
    ( spl0_1
    | spl0_4
    | ~ spl0_10
    | spl0_21 ),
    inference(avatar_contradiction_clause,[],[f657895]) ).

cnf(s2,plain,
    ~ spl0_1,
    inference(sat_conversion,[],[f469]) ).

cnf(s9,plain,
    ( spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f508]) ).

cnf(s12,plain,
    ~ spl0_4,
    inference(sat_conversion,[],[f511]) ).

cnf(s28,plain,
    ( spl0_1
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f1307]) ).

cnf(s239,plain,
    ( ~ spl0_11
    | spl0_96
    | spl0_97 ),
    inference(sat_conversion,[],[f5468]) ).

cnf(s365,plain,
    ( spl0_1
    | ~ spl0_29
    | spl0_265
    | spl0_266 ),
    inference(sat_conversion,[],[f8233]) ).

cnf(s773,plain,
    ~ spl0_96,
    inference(sat_conversion,[],[f10066]) ).

cnf(s1332,plain,
    ( spl0_1
    | spl0_21
    | spl0_29
    | spl0_96
    | ~ spl0_97 ),
    inference(sat_conversion,[],[f28265]) ).

cnf(s2941,plain,
    ( spl0_1
    | ~ spl0_265 ),
    inference(sat_conversion,[],[f87526]) ).

cnf(s2943,plain,
    ~ spl0_266,
    inference(sat_conversion,[],[f87532]) ).

cnf(s14707,plain,
    ( spl0_1
    | spl0_4
    | ~ spl0_10
    | spl0_21 ),
    inference(sat_conversion,[],[f657896]) ).

cnf(s15250,plain,
    ( spl0_1
    | ~ spl0_29
    | spl0_265 ),
    inference(rat,[],[s365,s2943]) ).

cnf(s15263,plain,
    ( ~ spl0_11
    | spl0_97 ),
    inference(rat,[],[s239,s773]) ).

cnf(s15360,plain,
    ~ spl0_265,
    inference(rat,[],[s2941,s2]) ).

cnf(s15363,plain,
    ~ spl0_29,
    inference(rat,[],[s15250,s15360,s2]) ).

cnf(s15367,plain,
    ~ spl0_21,
    inference(rat,[],[s28,s2]) ).

cnf(s15970,plain,
    ~ spl0_97,
    inference(rat,[],[s1332,s15363,s773,s2,s15367]) ).

cnf(s15990,plain,
    ~ spl0_10,
    inference(rat,[],[s14707,s2,s12,s15367]) ).

cnf(s16682,plain,
    ~ spl0_11,
    inference(rat,[],[s15263,s15970]) ).

cnf(s16688,plain,
    $false,
    inference(rat,[],[s9,s16682,s15990]) ).

fof(f657897,plain,
    $false,
    inference(avatar_sat_refutation,[],[s16688]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC248-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19  % Computer : n002.cluster.edu
% 0.10/0.19  % Model    : x86_64 x86_64
% 0.10/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19  % Memory   : 8046.5625MB
% 0.10/0.19  % OS       : Linux 6.8.0-71-generic
% 0.10/0.19  % CPULimit : 300
% 0.10/0.19  % WCLimit  : 300
% 0.10/0.19  % DateTime : Mon Sep 28 08:44:07 UTC 2026
% 0.10/0.19  % CPUTime  : 
% 0.10/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22  Running first-order model finding
% 0.10/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.28/3.89  % (215523)Will run a generic schedule for satisfiability detection.
% 25.28/3.89  % (215533)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2485137562:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 25.28/3.89  % (215529)% WARNING: option uhcvi not known.
% 25.28/3.89  % (215531)dis+10_1_sil=32000:sp=arity:random_seed=1658544461:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 25.28/3.89  % (215528)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1355919462_2999 on theBenchmark for (2999ds/0Mi)
% 25.28/3.89  % (215529)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3415015446:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 25.28/3.89  % (215530)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3461906363:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 25.28/3.89  % (215532)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=256387657:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 25.28/3.89  % (215534)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3178564451:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 25.28/3.89  % TRYING [1]
% 25.28/3.89  % TRYING [2]
% 25.28/3.89  % TRYING [3]
% 25.28/3.89  % (215533)Instruction limit reached! 
% 25.28/3.89  % (215533)------------------------------
% 25.28/3.89  % (215533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.28/3.89  % (215533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.28/3.89  % (215533)CaDiCaL version: 2.1.3
% 25.28/3.89  % (215533)Termination reason: Instruction limit
% 25.28/3.89  % (215533)Termination phase: Saturation
% 25.28/3.89  % (215533)Time elapsed: 0.038 s
% 25.28/3.89  % (215533)Peak memory usage: 14 MB
% 25.28/3.89  % (215533)Instructions burned: 132 (million)
% 25.28/3.89  % TRYING [4]
% 25.28/3.89  % (215542)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=552812810:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 25.28/3.89  % TRYING [1]
% 25.28/3.89  % TRYING [2]
% 25.28/3.89  % TRYING [3]
% 25.28/3.89  % (215531)Instruction limit reached! 
% 25.28/3.89  % (215531)------------------------------
% 25.28/3.89  % (215531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.28/3.89  % (215531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.28/3.89  % (215531)CaDiCaL version: 2.1.3
% 25.28/3.89  % (215531)Termination reason: Instruction limit
% 25.28/3.89  % (215531)Termination phase: Saturation
% 25.28/3.89  % (215531)Time elapsed: 0.061 s
% 25.28/3.89  % (215531)Peak memory usage: 13 MB
% 25.28/3.89  % (215531)Instructions burned: 103 (million)
% 25.28/3.89  % (215532)Instruction limit reached! 
% 25.28/3.89  % (215532)------------------------------
% 25.28/3.89  % (215532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.28/3.89  % (215532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.28/3.89  % (215532)CaDiCaL version: 2.1.3
% 25.28/3.89  % (215532)Termination reason: Instruction limit
% 25.28/3.89  % (215532)Termination phase: Saturation
% 25.28/3.89  % (215532)Time elapsed: 0.061 s
% 25.28/3.89  % (215532)Peak memory usage: 13 MB
% 25.28/3.89  % (215532)Instructions burned: 116 (million)
% 25.28/3.89  % TRYING [4]
% 25.28/3.89  % (215544)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4269395567:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 25.28/3.89  % (215545)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=693660321:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 25.28/3.89  % (215534)Instruction limit reached! 
% 25.28/3.89  % (215534)------------------------------
% 25.28/3.89  % (215534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.28/3.89  % (215534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.28/3.89  % (215534)CaDiCaL version: 2.1.3
% 25.28/3.89  % (215534)Termination reason: Instruction limit
% 25.28/3.89  % (215534)Termination phase: Saturation
% 25.28/3.89  % (215534)Time elapsed: 0.094 s
% 25.28/3.89  % (215534)Peak memory usage: 14 MB
% 25.28/3.89  % (215534)Instructions burned: 159 (million)
% 25.28/3.89  % TRYING [5]
% 25.28/3.89  % TRYING [5]
% 25.28/3.89  % (215548)ott-21_1_sil=16000:fs=off:random_seed=844521599:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 25.28/3.89  % (215544)Instruction limit reached! 
% 25.28/3.89  % (215544)------------------------------
% 25.28/3.89  % (215544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.28/3.89  % (215544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.86/6.77  % (215544)CaDiCaL version: 2.1.3
% 45.86/6.77  % (215544)Termination reason: Instruction limit
% 45.86/6.77  % (215544)Termination phase: Saturation
% 45.86/6.77  % (215544)Time elapsed: 0.076 s
% 45.86/6.77  % (215544)Peak memory usage: 13 MB
% 45.86/6.77  % (215544)Instructions burned: 131 (million)
% 45.86/6.77  % (215550)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3659653415:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 45.86/6.77  % (215542)Instruction limit reached! 
% 45.86/6.77  % (215542)------------------------------
% 45.86/6.77  % (215542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.86/6.77  % (215542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.86/6.77  % (215542)CaDiCaL version: 2.1.3
% 45.86/6.77  % (215542)Termination reason: Instruction limit
% 45.86/6.77  % (215542)Termination phase: Finite model building SAT solving
% 45.86/6.77  % (215542)Time elapsed: 0.150 s
% 45.86/6.77  % (215542)Peak memory usage: 37 MB
% 45.86/6.77  % (215542)Instructions burned: 715 (million)
% 45.86/6.77  % (215548)Instruction limit reached! 
% 45.86/6.77  % (215548)------------------------------
% 45.86/6.77  % (215548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.86/6.77  % (215548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.86/6.77  % (215548)CaDiCaL version: 2.1.3
% 45.86/6.77  % (215548)Termination reason: Instruction limit
% 45.86/6.77  % (215548)Termination phase: Saturation
% 45.86/6.77  % (215548)Time elapsed: 0.085 s
% 45.86/6.77  % (215548)Peak memory usage: 13 MB
% 45.86/6.77  % (215548)Instructions burned: 181 (million)
% 45.86/6.77  % (215552)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=752125846:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 45.86/6.77  % TRYING [1]
% 45.86/6.77  % TRYING [2]
% 45.86/6.77  % TRYING [3]
% 45.86/6.77  % (215553)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=378377461:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 45.86/6.77  % TRYING [4]
% 45.86/6.77  % TRYING [6]
% 45.86/6.77  % TRYING [5]
% 45.86/6.77  % (215552)Instruction limit reached! 
% 45.86/6.77  % (215552)------------------------------
% 45.86/6.77  % (215552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.86/6.77  % (215552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.86/6.77  % (215552)CaDiCaL version: 2.1.3
% 45.86/6.77  % (215552)Termination reason: Instruction limit
% 45.86/6.77  % (215552)Termination phase: Finite model building SAT solving
% 45.86/6.77  % (215552)Time elapsed: 0.185 s
% 45.86/6.77  % (215552)Peak memory usage: 24 MB
% 45.86/6.77  % (215552)Instructions burned: 871 (million)
% 45.86/6.77  % (215556)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3447695165:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 45.86/6.77  % TRYING [14]
% 45.86/6.77  % (215545)Instruction limit reached! 
% 45.86/6.77  % (215545)------------------------------
% 45.86/6.77  % (215545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.86/6.77  % (215545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.86/6.77  % (215545)CaDiCaL version: 2.1.3
% 45.86/6.77  % (215545)Termination reason: Instruction limit
% 45.86/6.77  % (215545)Termination phase: Saturation
% 45.86/6.77  % (215545)Time elapsed: 0.400 s
% 45.86/6.77  % (215545)Peak memory usage: 20 MB
% 45.86/6.77  % (215545)Instructions burned: 685 (million)
% 45.86/6.77  % (215550)Instruction limit reached! 
% 45.86/6.77  % (215550)------------------------------
% 45.86/6.77  % (215550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.86/6.77  % (215550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.86/6.77  % (215550)CaDiCaL version: 2.1.3
% 45.86/6.77  % (215550)Termination reason: Instruction limit
% 45.86/6.77  % (215550)Termination phase: Saturation
% 45.86/6.77  % (215550)Time elapsed: 0.318 s
% 45.86/6.77  % (215550)Peak memory usage: 15 MB
% 45.86/6.77  % (215550)Instructions burned: 478 (million)
% 45.86/6.77  % (215558)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=1328682008: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)
% 45.86/6.77  % (215559)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3341993551:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 45.86/6.77  % (215556)Instruction limit reached! 
% 45.86/6.77  % (215556)------------------------------
% 45.86/6.77  % (215556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.22/10.74  % (215556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.22/10.74  % (215556)CaDiCaL version: 2.1.3
% 74.22/10.74  % (215556)Termination reason: Instruction limit
% 74.22/10.74  % (215556)Termination phase: Finite model building constraint generation
% 74.22/10.74  % (215556)Time elapsed: 0.184 s
% 74.22/10.74  % (215556)Peak memory usage: 77 MB
% 74.22/10.74  % (215556)Instructions burned: 891 (million)
% 74.22/10.74  % (215562)fmb+10_1_sil=64000:random_seed=3027402819:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 74.22/10.74  % TRYING [1]
% 74.22/10.74  % TRYING [2]
% 74.22/10.74  % TRYING [3]
% 74.22/10.74  % TRYING [4]
% 74.22/10.74  % TRYING [5]
% 74.22/10.74  % TRYING [7]
% 74.22/10.74  % (215558)Instruction limit reached! 
% 74.22/10.74  % (215558)------------------------------
% 74.22/10.74  % (215558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.22/10.74  % (215558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.22/10.74  % (215558)CaDiCaL version: 2.1.3
% 74.22/10.74  % (215558)Termination reason: Instruction limit
% 74.22/10.74  % (215558)Termination phase: Saturation
% 74.22/10.74  % (215558)Time elapsed: 0.386 s
% 74.22/10.74  % (215558)Peak memory usage: 18 MB
% 74.22/10.74  % (215558)Instructions burned: 693 (million)
% 74.22/10.74  % (215553)Instruction limit reached! 
% 74.22/10.74  % (215553)------------------------------
% 74.22/10.74  % (215553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.22/10.74  % (215553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.22/10.74  % (215553)CaDiCaL version: 2.1.3
% 74.22/10.74  % (215553)Termination reason: Instruction limit
% 74.22/10.74  % (215553)Termination phase: Saturation
% 74.22/10.74  % (215553)Time elapsed: 0.673 s
% 74.22/10.74  % (215553)Peak memory usage: 27 MB
% 74.22/10.74  % (215553)Instructions burned: 1180 (million)
% 74.22/10.74  % (215564)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=764293875:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 74.22/10.74  % (215565)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3025188754:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 74.22/10.74  % TRYING [20]
% 74.22/10.74  % TRYING [8]
% 74.22/10.74  % (215559)Instruction limit reached! 
% 74.22/10.74  % (215559)------------------------------
% 74.22/10.74  % (215559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.22/10.74  % (215559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.22/10.74  % (215559)CaDiCaL version: 2.1.3
% 74.22/10.74  % (215559)Termination reason: Instruction limit
% 74.22/10.74  % (215559)Termination phase: Saturation
% 74.22/10.74  % (215559)Time elapsed: 0.462 s
% 74.22/10.74  % (215559)Peak memory usage: 20 MB
% 74.22/10.74  % (215559)Instructions burned: 880 (million)
% 74.22/10.74  % (215568)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2780415433:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 74.22/10.74  % TRYING [6]
% 74.22/10.74  % (215565)Instruction limit reached! 
% 74.22/10.74  % (215565)------------------------------
% 74.22/10.74  % (215565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.22/10.74  % (215565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.22/10.74  % (215565)CaDiCaL version: 2.1.3
% 74.22/10.74  % (215565)Termination reason: Instruction limit
% 74.22/10.74  % (215565)Termination phase: Finite model building constraint generation
% 74.22/10.74  % (215565)Time elapsed: 0.326 s
% 74.22/10.74  % (215565)Peak memory usage: 77 MB
% 74.22/10.74  % (215565)Instructions burned: 921 (million)
% 74.22/10.74  % (215570)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=663087881:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 74.22/10.74  % TRYING [8]
% 74.22/10.74  % TRYING [7]
% 74.22/10.74  % (215570)Instruction limit reached! 
% 74.22/10.74  % (215570)------------------------------
% 74.22/10.74  % (215570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.22/10.74  % (215570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.22/10.74  % (215570)CaDiCaL version: 2.1.3
% 74.22/10.74  % (215570)Termination reason: Instruction limit
% 74.22/10.74  % (215570)Termination phase: Saturation
% 74.22/10.74  % (215570)Time elapsed: 0.651 s
% 74.22/10.74  % (215570)Peak memory usage: 15 MB
% 74.22/10.74  % (215570)Instructions burned: 1473 (million)
% 74.22/10.74  % (215572)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2221614574:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 74.22/10.74  % TRYING [77]
% 74.22/10.74  % TRYING [8]
% 74.22/10.74  % (215568)Instruction limit reached! 
% 74.22/10.74  % (215568)------------------------------
% 74.22/10.74  % (215568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.75/19.46  % (215568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.75/19.46  % (215568)CaDiCaL version: 2.1.3
% 63.75/19.46  % (215568)Termination reason: Instruction limit
% 63.75/19.46  % (215568)Termination phase: Saturation
% 63.75/19.46  % (215568)Time elapsed: 2.627 s
% 63.75/19.46  % (215568)Peak memory usage: 53 MB
% 63.75/19.46  % (215568)Instructions burned: 5131 (million)
% 63.75/19.46  % (215574)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2079830875:fmbsr=2.30978:i=2174_2963 on theBenchmark for (2963ds/2174Mi)
% 63.75/19.46  % TRYING [16]
% 63.75/19.46  % TRYING [9]
% 63.75/19.46  % (215564)Instruction limit reached! 
% 63.75/19.46  % (215564)------------------------------
% 63.75/19.46  % (215564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.75/19.46  % (215564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.75/19.46  % (215564)CaDiCaL version: 2.1.3
% 63.75/19.46  % (215564)Termination reason: Instruction limit
% 63.75/19.46  % (215564)Termination phase: Finite model building constraint generation
% 63.75/19.46  % (215564)Time elapsed: 3.281 s
% 63.75/19.46  % (215564)Peak memory usage: 593 MB
% 63.75/19.46  % (215564)Instructions burned: 9517 (million)
% 63.75/19.46  % (215576)ott-2_1_sil=16000:newcnf=on:random_seed=2973356625:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 63.75/19.46  % (215572)Instruction limit reached! 
% 63.75/19.46  % (215572)------------------------------
% 63.75/19.46  % (215572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.75/19.46  % (215572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.75/19.46  % (215572)CaDiCaL version: 2.1.3
% 63.75/19.46  % (215572)Termination reason: Instruction limit
% 63.75/19.46  % (215572)Termination phase: Finite model building constraint generation
% 63.75/19.46  % (215572)Time elapsed: 2.373 s
% 63.75/19.46  % (215572)Peak memory usage: 524 MB
% 63.75/19.46  % (215572)Instructions burned: 6325 (million)
% 63.75/19.46  % (215578)ott+10_1_sil=32000:tgt=ground:random_seed=3955977574:i=5114:av=off_2955 on theBenchmark for (2955ds/5114Mi)
% 63.75/19.46  % (215574)Instruction limit reached! 
% 63.75/19.46  % (215574)------------------------------
% 63.75/19.46  % (215574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.75/19.46  % (215574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.75/19.46  % (215574)CaDiCaL version: 2.1.3
% 63.75/19.46  % (215574)Termination reason: Instruction limit
% 63.75/19.46  % (215574)Termination phase: Finite model building constraint generation
% 63.75/19.46  % (215574)Time elapsed: 0.761 s
% 63.75/19.46  % (215574)Peak memory usage: 130 MB
% 63.75/19.46  % (215574)Instructions burned: 2177 (million)
% 63.75/19.46  % (215580)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3155927713:i=54282_2955 on theBenchmark for (2955ds/54282Mi)
% 63.75/19.46  % TRYING [1]
% 63.75/19.46  % TRYING [2]
% 63.75/19.46  % TRYING [3]
% 63.75/19.46  % TRYING [4]
% 63.75/19.46  % TRYING [5]
% 63.75/19.46  % TRYING [6]
% 63.75/19.46  % (215576)Instruction limit reached! 
% 63.75/19.46  % (215576)------------------------------
% 63.75/19.46  % (215576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.75/19.46  % (215576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.75/19.46  % (215576)CaDiCaL version: 2.1.3
% 63.75/19.46  % (215576)Termination reason: Instruction limit
% 63.75/19.46  % (215576)Termination phase: Saturation
% 63.75/19.46  % (215576)Time elapsed: 0.482 s
% 63.75/19.46  % (215576)Peak memory usage: 21 MB
% 63.75/19.46  % (215576)Instructions burned: 869 (million)
% 63.75/19.46  % (215582)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4280853058:i=3512:aac=none_2951 on theBenchmark for (2951ds/3512Mi)
% 63.75/19.46  % TRYING [7]
% 63.75/19.46  % TRYING [9]
% 63.75/19.46  % (215562)Instruction limit reached! 
% 63.75/19.46  % (215562)------------------------------
% 63.75/19.46  % (215562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.75/19.46  % (215562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.75/19.46  % (215562)CaDiCaL version: 2.1.3
% 63.75/19.46  % (215562)Termination reason: Instruction limit
% 63.75/19.46  % (215562)Termination phase: Finite model building constraint generation
% 63.75/19.46  % (215562)Time elapsed: 4.808 s
% 63.75/19.46  % (215562)Peak memory usage: 172 MB
% 63.75/19.46  % (215562)Instructions burned: 22062 (million)
% 63.75/19.46  % (215584)dis+21_1_sil=32000:sas=cadical:random_seed=2689988916:i=3773:amm=off_2945 on theBenchmark for (2945ds/3773Mi)
% 63.75/19.46  % TRYING [8]
% 63.75/19.46  % (215584)Instruction limit reached! 
% 63.75/19.46  % (215584)------------------------------
% 63.75/19.46  % (215584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.75/19.46  % (215584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.75/19.46  % (215584)CaDiCaL version: 2.1.3
% 63.75/19.46  % (215584)Termination reason: Instruction limit
% 63.75/19.46  % (215584)Termination phase: Saturation
% 63.75/19.46  % (215584)Time elapsed: 1.071 s
% 63.75/19.46  % (215584)Peak memory usage: 39 MB
% 63.75/19.46  % (215584)Instructions burned: 3773 (million)
% 63.75/19.46  % (215586)ott+11_1_sil=16000:gs=on:random_seed=2104511837:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2934 on theBenchmark for (2934ds/2251Mi)
% 63.75/19.46  % (215582)Instruction limit reached! 
% 63.75/19.46  % (215582)------------------------------
% 63.75/19.46  % (215582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.75/19.46  % (215582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.75/19.46  % (215582)CaDiCaL version: 2.1.3
% 63.75/19.46  % (215582)Termination reason: Instruction limit
% 63.75/19.46  % (215582)Termination phase: Saturation
% 63.75/19.46  % (215582)Time elapsed: 1.824 s
% 63.75/19.46  % (215582)Peak memory usage: 43 MB
% 63.75/19.46  % (215582)Instructions burned: 3513 (million)
% 63.75/19.46  % (215588)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3504787049:fmbsr=1.6:i=67534_2933 on theBenchmark for (2933ds/67534Mi)
% 63.75/19.46  % TRYING [7]
% 63.75/19.46  % (215586)Instruction limit reached! 
% 63.75/19.46  % (215586)------------------------------
% 63.75/19.46  % (215586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.75/19.46  % (215586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.75/19.46  % (215586)CaDiCaL version: 2.1.3
% 63.75/19.46  % (215586)Termination reason: Instruction limit
% 63.75/19.46  % (215586)Termination phase: Saturation
% 63.75/19.46  % (215586)Time elapsed: 0.474 s
% 63.75/19.46  % (215586)Peak memory usage: 14 MB
% 63.75/19.46  % (215586)Instructions burned: 2255 (million)
% 63.75/19.46  % (215590)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2854385230:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2929 on theBenchmark for (2929ds/4591Mi)
% 63.75/19.46  % (215578)Instruction limit reached! 
% 63.75/19.46  % (215578)------------------------------
% 63.75/19.46  % (215578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.75/19.46  % (215578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.75/19.46  % (215578)CaDiCaL version: 2.1.3
% 63.75/19.46  % (215578)Termination reason: Instruction limit
% 63.75/19.46  % (215578)Termination phase: Saturation
% 63.75/19.46  % (215578)Time elapsed: 2.891 s
% 63.75/19.46  % (215578)Peak memory usage: 71 MB
% 63.75/19.46  % (215578)Instructions burned: 5115 (million)
% 63.75/19.46  % (215592)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3323703121:i=29340_2926 on theBenchmark for (2926ds/29340Mi)
% 63.75/19.46  % TRYING [10]
% 63.75/19.46  % TRYING [9]
% 63.75/19.46  % (215590)Instruction limit reached! 
% 63.75/19.46  % (215590)------------------------------
% 63.75/19.46  % (215590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.75/19.46  % (215590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.75/19.46  % (215590)CaDiCaL version: 2.1.3
% 63.75/19.46  % (215590)Termination reason: Instruction limit
% 63.75/19.46  % (215590)Termination phase: Saturation
% 63.75/19.46  % (215590)Time elapsed: 1.122 s
% 63.75/19.46  % (215590)Peak memory usage: 63 MB
% 63.75/19.46  % (215590)Instructions burned: 4592 (million)
% 63.75/19.46  % (215594)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1074732028:i=5211_2918 on theBenchmark for (2918ds/5211Mi)
% 63.75/19.46  % TRYING [8]
% 63.75/19.46  % (215594)Instruction limit reached! 
% 63.75/19.46  % (215594)------------------------------
% 63.75/19.46  % (215594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.75/19.46  % (215594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.75/19.46  % (215594)CaDiCaL version: 2.1.3
% 63.75/19.46  % (215594)Termination reason: Instruction limit
% 63.75/19.46  % (215594)Termination phase: Saturation
% 63.75/19.46  % (215594)Time elapsed: 1.266 s
% 63.75/19.46  % (215594)Peak memory usage: 48 MB
% 63.75/19.46  % (215594)Instructions burned: 5216 (million)
% 63.75/19.46  % (215596)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=347444096:i=5497:nm=2_2905 on theBenchmark for (2905ds/5497Mi)
% 63.75/19.46  % TRYING [17]
% 63.75/19.46  % (215596)Instruction limit reached! 
% 63.75/19.46  % (215596)------------------------------
% 63.75/19.46  % (215596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.75/19.46  % (215596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.75/19.46  % (215596)CaDiCaL version: 2.1.3
% 63.75/19.46  % (215596)Termination reason: Instruction limit
% 63.75/19.46  % (215596)Termination phase: Finite model building constraint generation
% 63.75/19.46  % (215596)Time elapsed: 1.050 s
% 63.75/19.46  % (215596)Peak memory usage: 347 MB
% 63.75/19.46  % (215596)Instructions burned: 5502 (million)
% 63.75/19.46  % (215598)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2174677467:fmbsr=2:i=46332_2894 on theBenchmark for (2894ds/46332Mi)
% 63.75/19.46  % TRYING [15]
% 63.75/19.46  % TRYING [10]
% 63.75/19.46  % TRYING [9]
% 63.75/19.46  % TRYING [11]
% 63.75/19.46  % (215529) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-215523-215529"...
% 63.75/19.46  % (215529)...printing done.
% 63.75/19.46  % (215529)Refutation found. Thanks to Tanya!
% 63.75/19.46  % SZS status Unsatisfiable for theBenchmark
% 63.75/19.46  % SZS output start Proof for theBenchmark
% See solution above
% 63.75/19.46  % (215529)------------------------------
% 63.75/19.46  % (215529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.75/19.46  % (215529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.75/19.46  % (215529)CaDiCaL version: 2.1.3
% 63.75/19.46  % (215529)Termination reason: Refutation
% 63.75/19.46  % (215529)Time elapsed: 18.948 s
% 63.75/19.46  % (215529)Peak memory usage: 327 MB
% 63.75/19.46  % (215529)Instructions burned: 36196 (million)
% 63.75/19.46  % (215523)Success in time 19.232 s
% 63.75/19.46  % Vampire exiting
%------------------------------------------------------------------------------