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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC298-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 01:03:21 PM UTC 2026

% Result   : Unsatisfiable 4.63s 1.35s
% Output   : Refutation 5.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  183 (  36 unt;  19 def)
%            Number of atoms       :  520 (  37 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  646 ( 309   ~; 318   |;   0   &)
%                                         (  19 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   25 (  23 usr;  20 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   49 (   0 sgn  49   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f63,axiom,
    ! [X0] :
      ( ~ lt(X0,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | app(cons(X0,nil),X1) = cons(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

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

fof(f151,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f161,axiom,
    ! [X2,X0,X1] :
      ( app(app(X2,X1),X0) = app(X2,app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',clause175) ).

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

fof(f206,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ssItem(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f209,negated_conjecture,
    ssList(sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f210,negated_conjecture,
    ssList(sk9),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f211,negated_conjecture,
    app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f212,plain,
    sk1 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
    inference(reorient_equations,[],[f211]) ).

fof(f213,negated_conjecture,
    lt(sk6,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f215,negated_conjecture,
    ( ssItem(sk10)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f220,negated_conjecture,
    ( cons(sk10,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).

fof(f221,plain,
    ( sk3 = cons(sk10,nil)
    | nil = sk3 ),
    inference(reorient_equations,[],[f220]) ).

fof(f227,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X0,cons(X1,X2)),X1)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(app(X0,cons(X1,X2)))
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f189]) ).

fof(f233,definition,
    ( spl0_1
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f234,plain,
    ( nil = sk3
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f244,definition,
    ( spl0_4
  <=> sk3 = cons(sk10,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f245,plain,
    ( sk3 = cons(sk10,nil)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f246,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f221,f244,f233]) ).

fof(f254,definition,
    ( spl0_6
  <=> ssItem(sk10) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f255,plain,
    ( ssItem(sk10)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f256,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f215,f254,f233]) ).

fof(f292,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssList(nil)
        | ~ ssItem(sk10)
        | ~ ssItem(X0)
        | memberP(nil,X0)
        | sk10 = X0 )
    | ~ spl0_4 ),
    inference(superposition,[],[f174,f245]) ).

fof(f305,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssItem(sk10)
        | ~ ssItem(X0)
        | memberP(nil,X0)
        | sk10 = X0 )
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f292,f8]) ).

fof(f315,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssItem(X0)
        | memberP(nil,X0)
        | sk10 = X0 )
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f305,f255]) ).

fof(f318,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssItem(X0)
        | sk10 = X0 )
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f315,f71]) ).

fof(f323,plain,
    sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
    inference(forward_demodulation,[],[f212,f205]) ).

fof(f408,plain,
    ( sk3 = app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9))
    | ~ ssList(cons(sk6,nil))
    | ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
    | ~ ssList(sk9) ),
    inference(superposition,[],[f323,f161]) ).

fof(f413,plain,
    ! [X0] :
      ( memberP(sk3,X0)
      | ~ ssList(sk9)
      | ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
      | ~ ssItem(X0)
      | ~ memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0) ),
    inference(superposition,[],[f151,f323]) ).

fof(f430,plain,
    ! [X0] :
      ( memberP(sk3,X0)
      | ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
      | ~ ssItem(X0)
      | ~ memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0) ),
    inference(forward_subsumption_resolution,[],[f413,f210]) ).

fof(f432,plain,
    ( sk3 = app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9))
    | ~ ssList(cons(sk6,nil))
    | ~ ssList(app(app(sk7,cons(sk5,nil)),sk8)) ),
    inference(forward_subsumption_resolution,[],[f408,f210]) ).

fof(f436,definition,
    ( spl0_9
  <=> ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil))) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f437,plain,
    ( ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
    | spl0_9 ),
    inference(avatar_component_clause,[],[f436]) ).

fof(f465,definition,
    ( spl0_16
  <=> ! [X0] :
        ( memberP(sk3,X0)
        | ~ memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)
        | ~ ssItem(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f466,plain,
    ( ! [X0] :
        ( ~ memberP(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),X0)
        | memberP(sk3,X0)
        | ~ ssItem(X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f467,plain,
    ( ~ spl0_9
    | spl0_16 ),
    inference(avatar_split_clause,[],[f430,f465,f436]) ).

fof(f469,definition,
    ( spl0_17
  <=> ssList(app(app(sk7,cons(sk5,nil)),sk8)) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f470,plain,
    ( ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
    | spl0_17 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f472,definition,
    ( spl0_18
  <=> ssList(cons(sk6,nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f473,plain,
    ( ~ ssList(cons(sk6,nil))
    | spl0_18 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f475,definition,
    ( spl0_19
  <=> sk3 = app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9)) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f476,plain,
    ( sk3 = app(app(app(sk7,cons(sk5,nil)),sk8),app(cons(sk6,nil),sk9))
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f478,plain,
    ( ~ spl0_17
    | ~ spl0_18
    | spl0_19 ),
    inference(avatar_split_clause,[],[f432,f475,f472,f469]) ).

fof(f480,definition,
    ( spl0_20
  <=> ssList(app(sk7,cons(sk5,nil))) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f481,plain,
    ( ~ ssList(app(sk7,cons(sk5,nil)))
    | spl0_20 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f488,definition,
    ( spl0_22
  <=> ssList(cons(sk5,nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f489,plain,
    ( ~ ssList(cons(sk5,nil))
    | spl0_22 ),
    inference(avatar_component_clause,[],[f488]) ).

fof(f494,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk6)
    | spl0_18 ),
    inference(resolution,[],[f473,f86]) ).

fof(f495,plain,
    ( ~ ssItem(sk6)
    | spl0_18 ),
    inference(forward_subsumption_resolution,[],[f494,f8]) ).

fof(f496,plain,
    ( $false
    | spl0_18 ),
    inference(forward_subsumption_resolution,[],[f495,f207]) ).

fof(f497,plain,
    spl0_18,
    inference(avatar_contradiction_clause,[],[f496]) ).

fof(f498,plain,
    ( ~ ssList(nil)
    | ~ ssItem(sk5)
    | spl0_22 ),
    inference(resolution,[],[f489,f86]) ).

fof(f499,plain,
    ( ~ ssItem(sk5)
    | spl0_22 ),
    inference(forward_subsumption_resolution,[],[f498,f8]) ).

fof(f500,plain,
    ( $false
    | spl0_22 ),
    inference(forward_subsumption_resolution,[],[f499,f206]) ).

fof(f501,plain,
    spl0_22,
    inference(avatar_contradiction_clause,[],[f500]) ).

fof(f502,plain,
    ( ~ ssList(sk7)
    | ~ ssList(cons(sk5,nil))
    | spl0_20 ),
    inference(resolution,[],[f481,f85]) ).

fof(f503,plain,
    ( ~ ssList(cons(sk5,nil))
    | spl0_20 ),
    inference(forward_subsumption_resolution,[],[f502,f208]) ).

fof(f504,plain,
    ( ~ spl0_22
    | spl0_20 ),
    inference(avatar_split_clause,[],[f503,f480,f488]) ).

fof(f516,plain,
    ( ~ ssList(app(sk7,app(cons(sk5,nil),sk8)))
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(sk7)
    | ~ ssList(sk8)
    | spl0_17 ),
    inference(superposition,[],[f470,f161]) ).

fof(f517,plain,
    ( ~ ssList(app(sk7,app(cons(sk5,nil),sk8)))
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(sk8)
    | spl0_17 ),
    inference(forward_subsumption_resolution,[],[f516,f208]) ).

fof(f519,plain,
    ( ~ ssList(app(sk7,app(cons(sk5,nil),sk8)))
    | ~ ssList(cons(sk5,nil))
    | spl0_17 ),
    inference(forward_subsumption_resolution,[],[f517,f209]) ).

fof(f522,definition,
    ( spl0_24
  <=> ssList(app(sk7,app(cons(sk5,nil),sk8))) ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f523,plain,
    ( ~ ssList(app(sk7,app(cons(sk5,nil),sk8)))
    | spl0_24 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f524,plain,
    ( ~ spl0_22
    | ~ spl0_24
    | spl0_17 ),
    inference(avatar_split_clause,[],[f519,f469,f522,f488]) ).

fof(f658,plain,
    ( ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
    | ~ ssList(cons(sk6,nil))
    | spl0_9 ),
    inference(resolution,[],[f437,f85]) ).

fof(f663,plain,
    ( ~ spl0_18
    | ~ spl0_17
    | spl0_9 ),
    inference(avatar_split_clause,[],[f658,f436,f469,f472]) ).

fof(f735,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssList(app(cons(sk6,nil),sk9))
        | ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
        | ~ ssItem(X0)
        | ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0) )
    | ~ spl0_19 ),
    inference(superposition,[],[f151,f476]) ).

fof(f745,definition,
    ( spl0_40
  <=> ssList(app(cons(sk6,nil),sk9)) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f746,plain,
    ( ~ ssList(app(cons(sk6,nil),sk9))
    | spl0_40 ),
    inference(avatar_component_clause,[],[f745]) ).

fof(f774,definition,
    ( spl0_47
  <=> ! [X0] :
        ( memberP(sk3,X0)
        | ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)
        | ~ ssItem(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f775,plain,
    ( ! [X0] :
        ( ~ memberP(app(app(sk7,cons(sk5,nil)),sk8),X0)
        | memberP(sk3,X0)
        | ~ ssItem(X0) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f776,plain,
    ( ~ spl0_17
    | ~ spl0_40
    | spl0_47
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f735,f475,f774,f745,f469]) ).

fof(f812,plain,
    ( ~ ssList(cons(sk6,sk9))
    | ~ ssList(sk9)
    | ~ ssItem(sk6)
    | spl0_40 ),
    inference(superposition,[],[f746,f126]) ).

fof(f813,plain,
    ( ~ ssList(sk9)
    | ~ ssItem(sk6)
    | spl0_40 ),
    inference(forward_subsumption_resolution,[],[f812,f86]) ).

fof(f815,plain,
    ( ~ ssItem(sk6)
    | spl0_40 ),
    inference(forward_subsumption_resolution,[],[f813,f210]) ).

fof(f817,plain,
    ( $false
    | spl0_40 ),
    inference(forward_subsumption_resolution,[],[f815,f207]) ).

fof(f818,plain,
    spl0_40,
    inference(avatar_contradiction_clause,[],[f817]) ).

fof(f909,definition,
    ( spl0_60
  <=> ssList(app(sk7,cons(sk5,sk8))) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f910,plain,
    ( ~ ssList(app(sk7,cons(sk5,sk8)))
    | spl0_60 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f916,definition,
    ( spl0_62
  <=> ssList(cons(sk5,sk8)) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f917,plain,
    ( ~ ssList(cons(sk5,sk8))
    | spl0_62 ),
    inference(avatar_component_clause,[],[f916]) ).

fof(f922,plain,
    ( ~ ssList(sk8)
    | ~ ssItem(sk5)
    | spl0_62 ),
    inference(resolution,[],[f917,f86]) ).

fof(f923,plain,
    ( ~ ssItem(sk5)
    | spl0_62 ),
    inference(forward_subsumption_resolution,[],[f922,f209]) ).

fof(f924,plain,
    ( $false
    | spl0_62 ),
    inference(forward_subsumption_resolution,[],[f923,f206]) ).

fof(f925,plain,
    spl0_62,
    inference(avatar_contradiction_clause,[],[f924]) ).

fof(f982,plain,
    ( ~ ssList(sk7)
    | ~ ssList(cons(sk5,sk8))
    | spl0_60 ),
    inference(resolution,[],[f910,f85]) ).

fof(f983,plain,
    ( ~ ssList(cons(sk5,sk8))
    | spl0_60 ),
    inference(forward_subsumption_resolution,[],[f982,f208]) ).

fof(f984,plain,
    ( ~ spl0_62
    | spl0_60 ),
    inference(avatar_split_clause,[],[f983,f909,f916]) ).

fof(f986,plain,
    ( ~ ssList(app(sk7,cons(sk5,sk8)))
    | ~ ssList(sk8)
    | ~ ssItem(sk5)
    | spl0_24 ),
    inference(superposition,[],[f523,f126]) ).

fof(f987,plain,
    ( ~ ssList(app(sk7,cons(sk5,sk8)))
    | ~ ssItem(sk5)
    | spl0_24 ),
    inference(forward_subsumption_resolution,[],[f986,f209]) ).

fof(f989,plain,
    ( ~ ssList(app(sk7,cons(sk5,sk8)))
    | spl0_24 ),
    inference(forward_subsumption_resolution,[],[f987,f206]) ).

fof(f991,plain,
    ( ~ spl0_60
    | spl0_24 ),
    inference(avatar_split_clause,[],[f989,f522,f909]) ).

fof(f1015,plain,
    ( memberP(sk3,sk6)
    | ~ ssItem(sk6)
    | ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
    | ~ ssItem(sk6)
    | ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
    | ~ ssList(nil)
    | ~ spl0_16 ),
    inference(resolution,[],[f466,f227]) ).

fof(f1022,plain,
    ( memberP(sk3,sk6)
    | ~ ssItem(sk6)
    | ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
    | ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
    | ~ ssList(nil)
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f1015]) ).

fof(f1031,plain,
    ( memberP(sk3,sk6)
    | ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
    | ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
    | ~ ssList(nil)
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f1022,f207]) ).

fof(f1034,plain,
    ( memberP(sk3,sk6)
    | ~ ssList(app(app(sk7,cons(sk5,nil)),sk8))
    | ~ ssList(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)))
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f1031,f8]) ).

fof(f1037,definition,
    ( spl0_74
  <=> memberP(sk3,sk6) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f1038,plain,
    ( memberP(sk3,sk6)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f1037]) ).

fof(f1039,plain,
    ( ~ spl0_9
    | ~ spl0_17
    | spl0_74
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1034,f465,f1037,f469,f436]) ).

fof(f1040,plain,
    ( ~ ssItem(sk6)
    | sk6 = sk10
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_74 ),
    inference(resolution,[],[f1038,f318]) ).

fof(f1041,plain,
    ( sk6 = sk10
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_74 ),
    inference(forward_subsumption_resolution,[],[f1040,f207]) ).

fof(f1053,plain,
    ( lt(sk10,sk5)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_74 ),
    inference(superposition,[],[f213,f1041]) ).

fof(f1142,plain,
    ( memberP(nil,sk6)
    | ~ spl0_1
    | ~ spl0_74 ),
    inference(superposition,[],[f1038,f234]) ).

fof(f1160,plain,
    ( ~ ssItem(sk6)
    | ~ spl0_1
    | ~ spl0_74 ),
    inference(resolution,[],[f1142,f71]) ).

fof(f1161,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_74 ),
    inference(forward_subsumption_resolution,[],[f1160,f207]) ).

fof(f1162,plain,
    ( ~ spl0_1
    | ~ spl0_74 ),
    inference(avatar_contradiction_clause,[],[f1161]) ).

fof(f1198,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssList(nil)
        | ~ ssItem(sk10)
        | ~ ssItem(X0)
        | memberP(nil,X0)
        | sk10 = X0 )
    | ~ spl0_4 ),
    inference(superposition,[],[f174,f245]) ).

fof(f1211,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssItem(sk10)
        | ~ ssItem(X0)
        | memberP(nil,X0)
        | sk10 = X0 )
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f1198,f8]) ).

fof(f1221,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssItem(X0)
        | memberP(nil,X0)
        | sk10 = X0 )
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f1211,f255]) ).

fof(f1224,plain,
    ( ! [X0] :
        ( ~ memberP(sk3,X0)
        | ~ ssItem(X0)
        | sk10 = X0 )
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f1221,f71]) ).

fof(f1354,definition,
    ( spl0_88
  <=> sk5 = sk10 ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f1355,plain,
    ( sk5 = sk10
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f1354]) ).

fof(f2762,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssItem(X0)
        | ~ ssList(sk8)
        | ~ ssList(app(sk7,cons(sk5,nil)))
        | ~ ssItem(X0)
        | ~ memberP(app(sk7,cons(sk5,nil)),X0) )
    | ~ spl0_47 ),
    inference(resolution,[],[f775,f151]) ).

fof(f2766,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssItem(X0)
        | ~ ssList(sk8)
        | ~ ssList(app(sk7,cons(sk5,nil)))
        | ~ memberP(app(sk7,cons(sk5,nil)),X0) )
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f2762]) ).

fof(f2771,plain,
    ( ! [X0] :
        ( memberP(sk3,X0)
        | ~ ssItem(X0)
        | ~ ssList(app(sk7,cons(sk5,nil)))
        | ~ memberP(app(sk7,cons(sk5,nil)),X0) )
    | ~ spl0_47 ),
    inference(forward_subsumption_resolution,[],[f2766,f209]) ).

fof(f2778,definition,
    ( spl0_215
  <=> ! [X0] :
        ( memberP(sk3,X0)
        | ~ memberP(app(sk7,cons(sk5,nil)),X0)
        | ~ ssItem(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).

fof(f2779,plain,
    ( ! [X0] :
        ( ~ memberP(app(sk7,cons(sk5,nil)),X0)
        | memberP(sk3,X0)
        | ~ ssItem(X0) )
    | ~ spl0_215 ),
    inference(avatar_component_clause,[],[f2778]) ).

fof(f2780,plain,
    ( ~ spl0_20
    | spl0_215
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f2771,f774,f2778,f480]) ).

fof(f2863,plain,
    ( memberP(sk3,sk5)
    | ~ ssItem(sk5)
    | ~ ssList(sk7)
    | ~ ssItem(sk5)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(nil)
    | ~ spl0_215 ),
    inference(resolution,[],[f2779,f227]) ).

fof(f2868,plain,
    ( memberP(sk3,sk5)
    | ~ ssItem(sk5)
    | ~ ssList(sk7)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(nil)
    | ~ spl0_215 ),
    inference(duplicate_literal_removal,[],[f2863]) ).

fof(f2870,plain,
    ( memberP(sk3,sk5)
    | ~ ssList(sk7)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(nil)
    | ~ spl0_215 ),
    inference(forward_subsumption_resolution,[],[f2868,f206]) ).

fof(f2875,plain,
    ( memberP(sk3,sk5)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ ssList(nil)
    | ~ spl0_215 ),
    inference(forward_subsumption_resolution,[],[f2870,f208]) ).

fof(f2876,plain,
    ( memberP(sk3,sk5)
    | ~ ssList(app(sk7,cons(sk5,nil)))
    | ~ spl0_215 ),
    inference(forward_subsumption_resolution,[],[f2875,f8]) ).

fof(f2878,definition,
    ( spl0_227
  <=> memberP(sk3,sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).

fof(f2879,plain,
    ( memberP(sk3,sk5)
    | ~ spl0_227 ),
    inference(avatar_component_clause,[],[f2878]) ).

fof(f2880,plain,
    ( ~ spl0_20
    | spl0_227
    | ~ spl0_215 ),
    inference(avatar_split_clause,[],[f2876,f2778,f2878,f480]) ).

fof(f2881,plain,
    ( ~ ssItem(sk5)
    | sk5 = sk10
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_227 ),
    inference(resolution,[],[f2879,f1224]) ).

fof(f2882,plain,
    ( sk5 = sk10
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_227 ),
    inference(forward_subsumption_resolution,[],[f2881,f206]) ).

fof(f2883,plain,
    ( spl0_88
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_227 ),
    inference(avatar_split_clause,[],[f2882,f2878,f254,f244,f1354]) ).

fof(f2902,plain,
    ( lt(sk10,sk10)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_74
    | ~ spl0_88 ),
    inference(superposition,[],[f1053,f1355]) ).

fof(f3006,plain,
    ( ~ ssItem(sk10)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_74
    | ~ spl0_88 ),
    inference(resolution,[],[f2902,f63]) ).

fof(f3019,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_74
    | ~ spl0_88 ),
    inference(forward_subsumption_resolution,[],[f3006,f255]) ).

fof(f3020,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_74
    | ~ spl0_88 ),
    inference(avatar_contradiction_clause,[],[f3019]) ).

cnf(s3,plain,
    ( spl0_1
    | spl0_4 ),
    inference(sat_conversion,[],[f246]) ).

cnf(s7,plain,
    ( spl0_1
    | spl0_6 ),
    inference(sat_conversion,[],[f256]) ).

cnf(s18,plain,
    ( ~ spl0_9
    | spl0_16 ),
    inference(sat_conversion,[],[f467]) ).

cnf(s20,plain,
    ( ~ spl0_17
    | ~ spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s23,plain,
    spl0_18,
    inference(sat_conversion,[],[f497]) ).

cnf(s24,plain,
    spl0_22,
    inference(sat_conversion,[],[f501]) ).

cnf(s25,plain,
    ( spl0_20
    | ~ spl0_22 ),
    inference(sat_conversion,[],[f504]) ).

cnf(s27,plain,
    ( spl0_17
    | ~ spl0_22
    | ~ spl0_24 ),
    inference(sat_conversion,[],[f524]) ).

cnf(s36,plain,
    ( spl0_9
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f663]) ).

cnf(s54,plain,
    ( ~ spl0_17
    | ~ spl0_19
    | ~ spl0_40
    | spl0_47 ),
    inference(sat_conversion,[],[f776]) ).

cnf(s63,plain,
    spl0_40,
    inference(sat_conversion,[],[f818]) ).

cnf(s81,plain,
    spl0_62,
    inference(sat_conversion,[],[f925]) ).

cnf(s92,plain,
    ( spl0_60
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f984]) ).

cnf(s94,plain,
    ( spl0_24
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f991]) ).

cnf(s103,plain,
    ( ~ spl0_9
    | ~ spl0_16
    | ~ spl0_17
    | spl0_74 ),
    inference(sat_conversion,[],[f1039]) ).

cnf(s118,plain,
    ( ~ spl0_1
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f1162]) ).

cnf(s327,plain,
    ( ~ spl0_20
    | ~ spl0_47
    | spl0_215 ),
    inference(sat_conversion,[],[f2780]) ).

cnf(s342,plain,
    ( ~ spl0_20
    | ~ spl0_215
    | spl0_227 ),
    inference(sat_conversion,[],[f2880]) ).

cnf(s343,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | spl0_88
    | ~ spl0_227 ),
    inference(sat_conversion,[],[f2883]) ).

cnf(s345,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_74
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f3020]) ).

cnf(s362,plain,
    spl0_60,
    inference(rat,[],[s92,s81]) ).

cnf(s367,plain,
    spl0_24,
    inference(rat,[],[s94,s362]) ).

cnf(s375,plain,
    ( ~ spl0_17
    | ~ spl0_19
    | spl0_47 ),
    inference(rat,[],[s54,s63]) ).

cnf(s392,plain,
    ( spl0_17
    | ~ spl0_22 ),
    inference(rat,[],[s27,s367]) ).

cnf(s394,plain,
    spl0_17,
    inference(rat,[],[s392,s24]) ).

cnf(s395,plain,
    spl0_20,
    inference(rat,[],[s25,s24]) ).

cnf(s398,plain,
    spl0_9,
    inference(rat,[],[s36,s394,s23]) ).

cnf(s411,plain,
    spl0_19,
    inference(rat,[],[s20,s23,s394]) ).

cnf(s413,plain,
    spl0_47,
    inference(rat,[],[s375,s394,s411]) ).

cnf(s421,plain,
    spl0_215,
    inference(rat,[],[s327,s395,s413]) ).

cnf(s425,plain,
    spl0_227,
    inference(rat,[],[s342,s395,s421]) ).

cnf(s427,plain,
    spl0_16,
    inference(rat,[],[s18,s398]) ).

cnf(s428,plain,
    spl0_74,
    inference(rat,[],[s103,s398,s394,s427]) ).

cnf(s431,plain,
    ~ spl0_1,
    inference(rat,[],[s118,s428]) ).

cnf(s448,plain,
    spl0_6,
    inference(rat,[],[s7,s431]) ).

cnf(s450,plain,
    spl0_4,
    inference(rat,[],[s3,s431]) ).

cnf(s451,plain,
    ~ spl0_88,
    inference(rat,[],[s345,s448,s428,s450]) ).

cnf(s452,plain,
    $false,
    inference(rat,[],[s343,s425,s448,s451,s450]) ).

fof(f3021,plain,
    $false,
    inference(avatar_sat_refutation,[],[s452]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC298-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n018.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 08:59:12 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21  Running first-order theorem proving
% 0.07/0.21  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.63/1.35  % (3237689)Input is clausal, will run a generic CNF schedule.
% 4.63/1.35  % (3237694)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=516110666:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.63/1.35  % (3237696)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3198539274:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.63/1.35  % (3237698)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=115994126:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.63/1.35  % (3237700)dis-21_1_sil=8000:lcm=predicate:random_seed=379726339:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.63/1.35  % (3237695)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2248454140:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.63/1.35  % (3237697)lrs+10_1_sil=8000:sp=occurrence:random_seed=1572022013:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.63/1.35  % (3237699)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2242925428:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.63/1.35  % (3237700)Instruction limit reached! 
% 4.63/1.35  % (3237700)------------------------------
% 4.63/1.35  % (3237700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/1.35  % (3237700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.35  % (3237700)CaDiCaL version: 2.1.3
% 4.63/1.35  % (3237700)Termination reason: Instruction limit
% 4.63/1.35  % (3237700)Termination phase: Saturation
% 4.63/1.35  % (3237700)Time elapsed: 0.054 s
% 4.63/1.35  % (3237700)Peak memory usage: 89 MB
% 4.63/1.35  % (3237700)Instructions burned: 118 (million)
% 4.63/1.35  % (3237697)Instruction limit reached! 
% 4.63/1.35  % (3237697)------------------------------
% 4.63/1.35  % (3237697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/1.35  % (3237697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.35  % (3237697)CaDiCaL version: 2.1.3
% 4.63/1.35  % (3237697)Termination reason: Instruction limit
% 4.63/1.35  % (3237697)Termination phase: Saturation
% 4.63/1.35  % (3237697)Time elapsed: 0.064 s
% 4.63/1.35  % (3237697)Peak memory usage: 90 MB
% 4.63/1.35  % (3237697)Instructions burned: 109 (million)
% 4.63/1.35  % (3237698)Instruction limit reached! 
% 4.63/1.35  % (3237698)------------------------------
% 4.63/1.35  % (3237698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/1.35  % (3237698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.35  % (3237698)CaDiCaL version: 2.1.3
% 4.63/1.35  % (3237698)Termination reason: Instruction limit
% 4.63/1.35  % (3237698)Termination phase: Saturation
% 4.63/1.35  % (3237698)Time elapsed: 0.069 s
% 4.63/1.35  % (3237698)Peak memory usage: 89 MB
% 4.63/1.35  % (3237698)Instructions burned: 115 (million)
% 4.63/1.35  % (3237699)Instruction limit reached! 
% 4.63/1.35  % (3237699)------------------------------
% 4.63/1.35  % (3237699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/1.35  % (3237699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.35  % (3237699)CaDiCaL version: 2.1.3
% 4.63/1.35  % (3237699)Termination reason: Instruction limit
% 4.63/1.35  % (3237699)Termination phase: Saturation
% 4.63/1.35  % (3237699)Time elapsed: 0.119 s
% 4.63/1.35  % (3237699)Peak memory usage: 90 MB
% 4.63/1.35  % (3237699)Instructions burned: 181 (million)
% 4.63/1.35  % (3237708)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1355129958:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.63/1.35  % (3237710)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4111781610:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.63/1.35  % (3237709)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=541040010:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.63/1.35  % (3237708)First to succeed.
% 4.63/1.35  % (3237708)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3237689"
% 4.63/1.35  % (3237711)lrs+10_64_to=lpo:sil=8000:random_seed=3353532475:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.63/1.35  % (3237709)Instruction limit reached! 
% 4.63/1.35  % (3237709)------------------------------
% 4.63/1.35  % (3237709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/1.35  % (3237709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.35  % (3237709)CaDiCaL version: 2.1.3
% 4.63/1.35  % (3237709)Termination reason: Instruction limit
% 4.63/1.35  % (3237709)Termination phase: Saturation
% 4.63/1.35  % (3237709)Time elapsed: 0.098 s
% 4.63/1.35  % (3237709)Peak memory usage: 92 MB
% 4.63/1.35  % (3237709)Instructions burned: 190 (million)
% 4.63/1.35  % (3237711)Instruction limit reached! 
% 4.63/1.35  % (3237711)------------------------------
% 4.63/1.35  % (3237711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/1.35  % (3237711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.35  % (3237711)CaDiCaL version: 2.1.3
% 4.63/1.35  % (3237711)Termination reason: Instruction limit
% 4.63/1.35  % (3237711)Termination phase: Saturation
% 4.63/1.35  % (3237711)Time elapsed: 0.065 s
% 4.63/1.35  % (3237711)Peak memory usage: 90 MB
% 4.63/1.35  % (3237711)Instructions burned: 126 (million)
% 4.63/1.35  % (3237710)Instruction limit reached! 
% 4.63/1.35  % (3237710)------------------------------
% 4.63/1.35  % (3237710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/1.35  % (3237710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.35  % (3237710)CaDiCaL version: 2.1.3
% 4.63/1.35  % (3237710)Termination reason: Instruction limit
% 4.63/1.35  % (3237710)Termination phase: Saturation
% 4.63/1.35  % (3237710)Time elapsed: 0.128 s
% 4.63/1.35  % (3237710)Peak memory usage: 90 MB
% 4.63/1.35  % (3237710)Instructions burned: 220 (million)
% 4.63/1.35  % (3237716)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=62663600:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 4.63/1.35  % (3237694)Also succeeded, but the first one will report.
% 4.63/1.35  % (3237717)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2694915947:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 4.63/1.35  % (3237708)Refutation found. Thanks to Tanya!
% 4.63/1.35  % SZS status Unsatisfiable for theBenchmark
% 4.63/1.35  % SZS output start Proof for theBenchmark
% See solution above
% 5.41/1.44  % (3237708)------------------------------
% 5.41/1.44  % (3237708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/1.44  % (3237708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.44  % (3237708)CaDiCaL version: 2.1.3
% 5.41/1.44  % (3237708)Termination reason: Refutation
% 5.41/1.44  % (3237708)Time elapsed: 0.062 s
% 5.41/1.44  % (3237708)Peak memory usage: 91 MB
% 5.41/1.44  % (3237708)Instructions burned: 93 (million)
% 5.41/1.44  % (3237708)------------------------------
% 5.41/1.44  % (3237708)------------------------------
% 5.41/1.44  % (3237689)Success in time 0.696 s
% 5.41/1.44  % Vampire exiting
%------------------------------------------------------------------------------