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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWC087-1 : 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 : n026.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 01:02:23 PM UTC 2026

% Result   : Unsatisfiable 6.60s 1.97s
% Output   : Refutation 8.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  168 (  30 unt;  15 def)
%            Number of atoms       :  572 (  80 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  762 ( 358   ~; 393   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  12 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   55 (   0 sgn  55   !;   0   ?)

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

fof(f57,axiom,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f77,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

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(f101,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | neq(X1,X0)
      | X1 = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

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

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

fof(f118,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

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

fof(f187,axiom,
    ! [X2,X3,X0,X1] :
      ( app(app(X0,X1),X2) != X3
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | segmentP(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f203,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

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,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f210,negated_conjecture,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk2,X0)
      | ~ segmentP(sk1,X0)
      | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

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

fof(f214,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f206,f204,f204]) ).

fof(f218,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0)
      | ~ neq(sk4,nil) ),
    inference(definition_unfolding,[],[f210,f204,f205]) ).

fof(f225,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f118]) ).

fof(f233,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f187]) ).

fof(f247,plain,
    ! [X2,X3,X0] :
      ( ~ ssList(X0)
      | sk3 = X0
      | ~ ssList(tl(sk4))
      | ~ ssList(X2)
      | app(tl(sk4),X2) != X0
      | ~ ssItem(X3)
      | cons(X3,nil) != X2
      | hd(sk4) != X3
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f211]) ).

fof(f248,plain,
    ! [X2,X3] :
      ( ~ ssList(app(tl(sk4),X2))
      | sk3 = app(tl(sk4),X2)
      | ~ ssList(tl(sk4))
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | cons(X3,nil) != X2
      | hd(sk4) != X3
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f247]) ).

fof(f249,plain,
    ! [X3] :
      ( ~ ssList(app(tl(sk4),cons(X3,nil)))
      | sk3 = app(tl(sk4),cons(X3,nil))
      | ~ ssList(tl(sk4))
      | ~ ssList(cons(X3,nil))
      | ~ ssItem(X3)
      | hd(sk4) != X3
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f248]) ).

fof(f250,plain,
    ( ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
    | sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssItem(hd(sk4))
    | ~ neq(nil,sk4)
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f249]) ).

fof(f251,definition,
    sF0 = tl(sk4),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f252,plain,
    tl(sk4) = sF0,
    inference(reorient_equations,[],[f251]) ).

fof(f253,definition,
    sF1 = hd(sk4),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f254,plain,
    hd(sk4) = sF1,
    inference(reorient_equations,[],[f253]) ).

fof(f255,definition,
    sF2 = cons(sF1,nil),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f256,plain,
    cons(sF1,nil) = sF2,
    inference(reorient_equations,[],[f255]) ).

fof(f257,definition,
    sF3 = app(sF0,sF2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f258,plain,
    app(sF0,sF2) = sF3,
    inference(reorient_equations,[],[f257]) ).

fof(f260,plain,
    ( ~ ssList(sF3)
    | sk3 = sF3
    | ~ ssList(sF0)
    | ~ ssList(sF2)
    | ~ ssItem(sF1)
    | ~ neq(nil,sk4)
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil) ),
    inference(definition_folding,[],[f250,f254,f256,f254,f252,f258,f256,f254,f252,f258,f256,f254,f252]) ).

fof(f261,plain,
    ( ~ ssList(sF3)
    | sk3 = sF3
    | ~ ssList(sF0)
    | ~ ssList(sF2)
    | ~ ssItem(sF1)
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil) ),
    inference(duplicate_literal_removal,[],[f260]) ).

fof(f263,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f214]) ).

fof(f268,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f225]) ).

fof(f271,definition,
    ( spl4_1
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

fof(f272,plain,
    ( neq(sk4,nil)
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f275,definition,
    ( spl4_2
  <=> neq(nil,sk4) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

fof(f276,plain,
    ( neq(nil,sk4)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f277,plain,
    ( ~ neq(nil,sk4)
    | spl4_2 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f279,definition,
    ( spl4_3
  <=> ssItem(sF1) ),
    introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).

fof(f280,plain,
    ( ssItem(sF1)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f281,plain,
    ( ~ ssItem(sF1)
    | spl4_3 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f283,definition,
    ( spl4_4
  <=> ssList(sF2) ),
    introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).

fof(f284,plain,
    ( ssList(sF2)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f287,definition,
    ( spl4_5
  <=> ssList(sF0) ),
    introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).

fof(f288,plain,
    ( ssList(sF0)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f291,definition,
    ( spl4_6
  <=> sk3 = sF3 ),
    introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).

fof(f293,plain,
    ( sk3 = sF3
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f295,definition,
    ( spl4_7
  <=> ssList(sF3) ),
    introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).

fof(f297,plain,
    ( ~ ssList(sF3)
    | spl4_7 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f298,plain,
    ( ~ spl4_1
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | spl4_6
    | ~ spl4_7 ),
    inference(avatar_split_clause,[],[f261,f295,f291,f287,f283,f279,f275,f271]) ).

fof(f300,definition,
    ( spl4_8
  <=> ! [X0] :
        ( ~ ssList(X0)
        | ~ segmentP(sk3,X0)
        | ~ segmentP(sk4,X0)
        | ~ neq(X0,nil) ) ),
    introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).

fof(f301,plain,
    ( ! [X0] :
        ( ~ neq(X0,nil)
        | ~ segmentP(sk3,X0)
        | ~ segmentP(sk4,X0)
        | ~ ssList(X0) )
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f302,plain,
    ( ~ spl4_1
    | spl4_8 ),
    inference(avatar_split_clause,[],[f218,f300,f271]) ).

fof(f305,plain,
    spl4_1,
    inference(avatar_split_clause,[],[f263,f271]) ).

fof(f311,definition,
    ( spl4_10
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).

fof(f312,plain,
    ( ssList(nil)
    | ~ spl4_10 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f347,plain,
    spl4_10,
    inference(avatar_split_clause,[],[f8,f311]) ).

fof(f348,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk4)
    | nil = sk4
    | spl4_2 ),
    inference(resolution,[],[f102,f277]) ).

fof(f349,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | spl4_2
    | ~ spl4_10 ),
    inference(forward_subsumption_resolution,[],[f348,f312]) ).

fof(f350,plain,
    ( nil = sk4
    | spl4_2
    | ~ spl4_10 ),
    inference(forward_subsumption_resolution,[],[f349,f203]) ).

fof(f352,plain,
    ( ~ neq(nil,nil)
    | spl4_2
    | ~ spl4_10 ),
    inference(superposition,[],[f277,f350]) ).

fof(f355,plain,
    ( neq(nil,nil)
    | ~ spl4_1
    | spl4_2
    | ~ spl4_10 ),
    inference(superposition,[],[f272,f350]) ).

fof(f356,plain,
    ( $false
    | ~ spl4_1
    | spl4_2
    | ~ spl4_10 ),
    inference(forward_subsumption_resolution,[],[f355,f352]) ).

fof(f357,plain,
    ( ~ spl4_1
    | spl4_2
    | ~ spl4_10 ),
    inference(avatar_contradiction_clause,[],[f356]) ).

fof(f360,plain,
    ( ssList(sF0)
    | ~ ssList(sk4)
    | nil = sk4 ),
    inference(superposition,[],[f77,f252]) ).

fof(f361,plain,
    ( ssList(sF0)
    | nil = sk4 ),
    inference(forward_subsumption_resolution,[],[f360,f203]) ).

fof(f363,definition,
    ( spl4_18
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl4_18])],[avatar_definition]) ).

fof(f364,plain,
    ( nil != sk4
    | spl4_18 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f365,plain,
    ( nil = sk4
    | ~ spl4_18 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f366,plain,
    ( spl4_18
    | spl4_5 ),
    inference(avatar_split_clause,[],[f361,f287,f363]) ).

fof(f367,plain,
    ( neq(nil,nil)
    | ~ spl4_2
    | ~ spl4_18 ),
    inference(superposition,[],[f276,f365]) ).

fof(f372,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | nil = sk4 ),
    inference(resolution,[],[f107,f203]) ).

fof(f386,plain,
    ( ssList(sF2)
    | ~ ssList(nil)
    | ~ ssItem(sF1) ),
    inference(superposition,[],[f86,f256]) ).

fof(f388,plain,
    ( ssItem(sF1)
    | ~ ssList(sk4)
    | nil = sk4 ),
    inference(superposition,[],[f78,f254]) ).

fof(f394,plain,
    sk4 = app(sk4,nil),
    inference(resolution,[],[f73,f203]) ).

fof(f397,plain,
    ( ! [X0] :
        ( ~ segmentP(sk3,X0)
        | ~ segmentP(sk4,X0)
        | ~ ssList(X0)
        | ~ ssList(X0)
        | ~ ssList(nil)
        | nil = X0 )
    | ~ spl4_8 ),
    inference(resolution,[],[f301,f102]) ).

fof(f398,plain,
    ( ~ segmentP(sk3,sk4)
    | ~ segmentP(sk4,sk4)
    | ~ ssList(sk4)
    | ~ spl4_1
    | ~ spl4_8 ),
    inference(resolution,[],[f301,f272]) ).

fof(f400,plain,
    ( ! [X0] :
        ( ~ segmentP(sk3,X0)
        | ~ segmentP(sk4,X0)
        | ~ ssList(X0)
        | ~ ssList(nil)
        | nil = X0 )
    | ~ spl4_8 ),
    inference(duplicate_literal_removal,[],[f397]) ).

fof(f402,plain,
    ( ~ segmentP(sk3,sk4)
    | ~ ssList(sk4)
    | ~ spl4_1
    | ~ spl4_8 ),
    inference(forward_subsumption_resolution,[],[f398,f57]) ).

fof(f403,plain,
    ( ! [X0] :
        ( ~ segmentP(sk4,X0)
        | ~ segmentP(sk3,X0)
        | ~ ssList(X0)
        | nil = X0 )
    | ~ spl4_8
    | ~ spl4_10 ),
    inference(forward_subsumption_resolution,[],[f400,f312]) ).

fof(f405,plain,
    ( ~ segmentP(sk3,sk4)
    | ~ spl4_1
    | ~ spl4_8 ),
    inference(forward_subsumption_resolution,[],[f402,f203]) ).

fof(f416,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | spl4_3 ),
    inference(forward_subsumption_resolution,[],[f388,f281]) ).

fof(f419,plain,
    ( nil = sk4
    | spl4_3 ),
    inference(forward_subsumption_resolution,[],[f416,f203]) ).

fof(f421,plain,
    ( $false
    | spl4_3
    | spl4_18 ),
    inference(forward_subsumption_resolution,[],[f419,f364]) ).

fof(f422,plain,
    ( spl4_3
    | spl4_18 ),
    inference(avatar_contradiction_clause,[],[f421]) ).

fof(f423,plain,
    ( ssList(sF2)
    | ~ ssItem(sF1)
    | ~ spl4_10 ),
    inference(forward_subsumption_resolution,[],[f386,f312]) ).

fof(f424,plain,
    ( ssList(sF2)
    | ~ spl4_3
    | ~ spl4_10 ),
    inference(forward_subsumption_resolution,[],[f423,f280]) ).

fof(f425,plain,
    ( spl4_4
    | ~ spl4_3
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f424,f311,f279,f283]) ).

fof(f440,definition,
    ( spl4_23
  <=> nil = sF0 ),
    introduced(definition,[new_symbols(definition,[spl4_23])],[avatar_definition]) ).

fof(f441,plain,
    ( nil != sF0
    | spl4_23 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f442,plain,
    ( nil = sF0
    | ~ spl4_23 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f460,plain,
    sk4 = app(nil,sk4),
    inference(resolution,[],[f74,f203]) ).

fof(f467,plain,
    ( ssList(sF3)
    | ~ ssList(sF0)
    | ~ ssList(sF2) ),
    inference(superposition,[],[f85,f258]) ).

fof(f472,plain,
    ( ~ ssList(nil)
    | ~ spl4_2
    | ~ spl4_18 ),
    inference(resolution,[],[f268,f367]) ).

fof(f474,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_10
    | ~ spl4_18 ),
    inference(forward_subsumption_resolution,[],[f472,f312]) ).

fof(f475,plain,
    ( ~ spl4_2
    | ~ spl4_10
    | ~ spl4_18 ),
    inference(avatar_contradiction_clause,[],[f474]) ).

fof(f476,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | spl4_18 ),
    inference(forward_subsumption_resolution,[],[f372,f364]) ).

fof(f477,plain,
    ( ~ ssList(sF0)
    | ~ ssList(sF2)
    | spl4_7 ),
    inference(forward_subsumption_resolution,[],[f467,f297]) ).

fof(f478,plain,
    ( sk4 = cons(hd(sk4),sF0)
    | spl4_18 ),
    inference(forward_demodulation,[],[f476,f252]) ).

fof(f479,plain,
    ( ~ ssList(sF2)
    | ~ spl4_5
    | spl4_7 ),
    inference(forward_subsumption_resolution,[],[f477,f288]) ).

fof(f480,plain,
    ( sk4 = cons(hd(sk4),nil)
    | spl4_18
    | ~ spl4_23 ),
    inference(forward_demodulation,[],[f478,f442]) ).

fof(f481,plain,
    ( $false
    | ~ spl4_4
    | ~ spl4_5
    | spl4_7 ),
    inference(forward_subsumption_resolution,[],[f479,f284]) ).

fof(f482,plain,
    ( ~ spl4_4
    | ~ spl4_5
    | spl4_7 ),
    inference(avatar_contradiction_clause,[],[f481]) ).

fof(f483,plain,
    ( sk4 = cons(sF1,nil)
    | spl4_18
    | ~ spl4_23 ),
    inference(forward_demodulation,[],[f480,f254]) ).

fof(f484,plain,
    ( sk4 = sF2
    | spl4_18
    | ~ spl4_23 ),
    inference(forward_demodulation,[],[f483,f256]) ).

fof(f492,plain,
    ( sF0 = app(nil,sF0)
    | ~ spl4_5 ),
    inference(resolution,[],[f288,f74]) ).

fof(f498,plain,
    ( sF3 = app(sF0,sk4)
    | spl4_18
    | ~ spl4_23 ),
    inference(superposition,[],[f258,f484]) ).

fof(f499,plain,
    ( sF3 = app(nil,sk4)
    | spl4_18
    | ~ spl4_23 ),
    inference(forward_demodulation,[],[f498,f442]) ).

fof(f500,plain,
    ( sk4 = sF3
    | spl4_18
    | ~ spl4_23 ),
    inference(forward_demodulation,[],[f499,f460]) ).

fof(f501,plain,
    ( sk3 = sk4
    | ~ spl4_6
    | spl4_18
    | ~ spl4_23 ),
    inference(forward_demodulation,[],[f500,f293]) ).

fof(f502,plain,
    ( ~ segmentP(sk4,sk4)
    | ~ spl4_1
    | ~ spl4_6
    | ~ spl4_8
    | spl4_18
    | ~ spl4_23 ),
    inference(superposition,[],[f405,f501]) ).

fof(f508,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | cons(sF1,X0) = app(cons(sF1,nil),X0) )
    | ~ spl4_3 ),
    inference(resolution,[],[f126,f280]) ).

fof(f509,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | cons(sF1,X0) = app(sF2,X0) )
    | ~ spl4_3 ),
    inference(forward_demodulation,[],[f508,f256]) ).

fof(f547,plain,
    ( ~ ssList(sk4)
    | ~ spl4_1
    | ~ spl4_6
    | ~ spl4_8
    | spl4_18
    | ~ spl4_23 ),
    inference(resolution,[],[f502,f57]) ).

fof(f548,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_6
    | ~ spl4_8
    | spl4_18
    | ~ spl4_23 ),
    inference(forward_subsumption_resolution,[],[f547,f203]) ).

fof(f549,plain,
    ( ~ spl4_1
    | ~ spl4_6
    | ~ spl4_8
    | spl4_18
    | ~ spl4_23 ),
    inference(avatar_contradiction_clause,[],[f548]) ).

fof(f550,plain,
    ( sk4 = cons(sF1,sF0)
    | spl4_18 ),
    inference(forward_demodulation,[],[f478,f254]) ).

fof(f561,plain,
    ( cons(sF1,sF0) = app(sF2,sF0)
    | ~ spl4_3
    | ~ spl4_5 ),
    inference(resolution,[],[f509,f288]) ).

fof(f563,plain,
    ( sk4 = app(sF2,sF0)
    | ~ spl4_3
    | ~ spl4_5
    | spl4_18 ),
    inference(forward_demodulation,[],[f561,f550]) ).

fof(f565,plain,
    ( ! [X0] :
        ( segmentP(app(sk4,X0),sF0)
        | ~ ssList(sF2)
        | ~ ssList(sF0)
        | ~ ssList(app(sk4,X0))
        | ~ ssList(X0) )
    | ~ spl4_3
    | ~ spl4_5
    | spl4_18 ),
    inference(superposition,[],[f233,f563]) ).

fof(f567,plain,
    ( ! [X0] :
        ( segmentP(app(sk4,X0),sF0)
        | ~ ssList(sF0)
        | ~ ssList(app(sk4,X0))
        | ~ ssList(X0) )
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | spl4_18 ),
    inference(forward_subsumption_resolution,[],[f565,f284]) ).

fof(f568,plain,
    ( ! [X0] :
        ( segmentP(app(sk4,X0),sF0)
        | ~ ssList(app(sk4,X0))
        | ~ ssList(X0) )
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | spl4_18 ),
    inference(forward_subsumption_resolution,[],[f567,f288]) ).

fof(f569,plain,
    ( ! [X0] :
        ( segmentP(app(sF0,X0),sF0)
        | ~ ssList(nil)
        | ~ ssList(sF0)
        | ~ ssList(app(sF0,X0))
        | ~ ssList(X0) )
    | ~ spl4_5 ),
    inference(superposition,[],[f233,f492]) ).

fof(f571,plain,
    ( ! [X0] :
        ( segmentP(app(sF0,X0),sF0)
        | ~ ssList(nil)
        | ~ ssList(sF0)
        | ~ ssList(X0) )
    | ~ spl4_5 ),
    inference(forward_subsumption_resolution,[],[f569,f85]) ).

fof(f572,plain,
    ( ! [X0] :
        ( segmentP(app(sF0,X0),sF0)
        | ~ ssList(sF0)
        | ~ ssList(X0) )
    | ~ spl4_5
    | ~ spl4_10 ),
    inference(forward_subsumption_resolution,[],[f571,f312]) ).

fof(f573,plain,
    ( ! [X0] :
        ( segmentP(app(sF0,X0),sF0)
        | ~ ssList(X0) )
    | ~ spl4_5
    | ~ spl4_10 ),
    inference(forward_subsumption_resolution,[],[f572,f288]) ).

fof(f574,plain,
    ( segmentP(sF3,sF0)
    | ~ ssList(sF2)
    | ~ spl4_5
    | ~ spl4_10 ),
    inference(superposition,[],[f573,f258]) ).

fof(f575,plain,
    ( segmentP(sF3,sF0)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_10 ),
    inference(forward_subsumption_resolution,[],[f574,f284]) ).

fof(f576,plain,
    ( segmentP(sk3,sF0)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_10 ),
    inference(forward_demodulation,[],[f575,f293]) ).

fof(f580,plain,
    ( segmentP(sk4,sF0)
    | ~ ssList(sk4)
    | ~ ssList(nil)
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | spl4_18 ),
    inference(superposition,[],[f568,f394]) ).

fof(f581,plain,
    ( segmentP(sk4,sF0)
    | ~ ssList(nil)
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | spl4_18 ),
    inference(forward_subsumption_resolution,[],[f580,f203]) ).

fof(f582,plain,
    ( segmentP(sk4,sF0)
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_10
    | spl4_18 ),
    inference(forward_subsumption_resolution,[],[f581,f312]) ).

fof(f583,plain,
    ( ~ segmentP(sk3,sF0)
    | ~ ssList(sF0)
    | nil = sF0
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_8
    | ~ spl4_10
    | spl4_18 ),
    inference(resolution,[],[f582,f403]) ).

fof(f584,plain,
    ( ~ ssList(sF0)
    | nil = sF0
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_8
    | ~ spl4_10
    | spl4_18 ),
    inference(forward_subsumption_resolution,[],[f583,f576]) ).

fof(f585,plain,
    ( nil = sF0
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_8
    | ~ spl4_10
    | spl4_18 ),
    inference(forward_subsumption_resolution,[],[f584,f288]) ).

fof(f586,plain,
    ( $false
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_8
    | ~ spl4_10
    | spl4_18
    | spl4_23 ),
    inference(forward_subsumption_resolution,[],[f585,f441]) ).

fof(f587,plain,
    ( ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_8
    | ~ spl4_10
    | spl4_18
    | spl4_23 ),
    inference(avatar_contradiction_clause,[],[f586]) ).

cnf(s1,plain,
    ( ~ spl4_1
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | spl4_6
    | ~ spl4_7 ),
    inference(sat_conversion,[],[f298]) ).

cnf(s2,plain,
    ( ~ spl4_1
    | spl4_8 ),
    inference(sat_conversion,[],[f302]) ).

cnf(s5,plain,
    spl4_1,
    inference(sat_conversion,[],[f305]) ).

cnf(s15,plain,
    spl4_10,
    inference(sat_conversion,[],[f347]) ).

cnf(s16,plain,
    ( ~ spl4_1
    | spl4_2
    | ~ spl4_10 ),
    inference(sat_conversion,[],[f357]) ).

cnf(s18,plain,
    ( spl4_5
    | spl4_18 ),
    inference(sat_conversion,[],[f366]) ).

cnf(s22,plain,
    ( spl4_3
    | spl4_18 ),
    inference(sat_conversion,[],[f422]) ).

cnf(s23,plain,
    ( ~ spl4_3
    | spl4_4
    | ~ spl4_10 ),
    inference(sat_conversion,[],[f425]) ).

cnf(s26,plain,
    ( ~ spl4_2
    | ~ spl4_10
    | ~ spl4_18 ),
    inference(sat_conversion,[],[f475]) ).

cnf(s27,plain,
    ( ~ spl4_4
    | ~ spl4_5
    | spl4_7 ),
    inference(sat_conversion,[],[f482]) ).

cnf(s29,plain,
    ( ~ spl4_1
    | ~ spl4_6
    | ~ spl4_8
    | spl4_18
    | ~ spl4_23 ),
    inference(sat_conversion,[],[f549]) ).

cnf(s30,plain,
    ( ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_8
    | ~ spl4_10
    | spl4_18
    | spl4_23 ),
    inference(sat_conversion,[],[f587]) ).

cnf(s35,plain,
    spl4_2,
    inference(rat,[],[s16,s15,s5]) ).

cnf(s36,plain,
    ~ spl4_18,
    inference(rat,[],[s26,s15,s35]) ).

cnf(s37,plain,
    spl4_3,
    inference(rat,[],[s22,s36]) ).

cnf(s38,plain,
    spl4_5,
    inference(rat,[],[s18,s36]) ).

cnf(s39,plain,
    spl4_4,
    inference(rat,[],[s23,s15,s37]) ).

cnf(s40,plain,
    spl4_7,
    inference(rat,[],[s27,s38,s39]) ).

cnf(s41,plain,
    spl4_8,
    inference(rat,[],[s2,s5]) ).

cnf(s42,plain,
    spl4_6,
    inference(rat,[],[s1,s40,s38,s39,s37,s35,s5]) ).

cnf(s43,plain,
    ~ spl4_23,
    inference(rat,[],[s29,s41,s36,s5,s42]) ).

cnf(s44,plain,
    $false,
    inference(rat,[],[s30,s41,s36,s15,s39,s37,s38,s43,s42]) ).

fof(f588,plain,
    $false,
    inference(avatar_sat_refutation,[],[s44]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC087-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n026.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 28 07:51:26 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  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
% 6.60/1.97  % (3681127)Input is clausal, will run a generic CNF schedule.
% 6.60/1.97  % (3681138)dis-21_1_sil=8000:lcm=predicate:random_seed=278243445: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)
% 6.60/1.97  % (3681132)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=2738558696:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.60/1.97  % (3681135)lrs+10_1_sil=8000:sp=occurrence:random_seed=4086934971:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.60/1.97  % (3681133)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4029534574:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.60/1.97  % (3681134)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=994336697:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.60/1.97  % (3681136)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1993908495:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.60/1.97  % (3681137)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4063024912:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.60/1.97  % (3681138)Instruction limit reached! 
% 6.60/1.97  % (3681138)------------------------------
% 6.60/1.97  % (3681138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.97  % (3681138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.97  % (3681138)CaDiCaL version: 2.1.3
% 6.60/1.97  % (3681138)Termination reason: Instruction limit
% 6.60/1.97  % (3681138)Termination phase: Saturation
% 6.60/1.97  % (3681138)Time elapsed: 0.032 s
% 6.60/1.97  % (3681138)Peak memory usage: 89 MB
% 6.60/1.97  % (3681138)Instructions burned: 121 (million)
% 6.60/1.97  % (3681135)Instruction limit reached! 
% 6.60/1.97  % (3681135)------------------------------
% 6.60/1.97  % (3681135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.97  % (3681136)Instruction limit reached! 
% 6.60/1.97  % (3681136)------------------------------
% 6.60/1.97  % (3681136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.97  % (3681136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.97  % (3681135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.97  % (3681136)CaDiCaL version: 2.1.3
% 6.60/1.97  % (3681135)CaDiCaL version: 2.1.3
% 6.60/1.97  % (3681136)Termination reason: Instruction limit
% 6.60/1.97  % (3681136)Termination phase: Saturation
% 6.60/1.97  % (3681135)Termination reason: Instruction limit
% 6.60/1.97  % (3681135)Termination phase: Saturation
% 6.60/1.97  % (3681136)Time elapsed: 0.069 s
% 6.60/1.97  % (3681135)Time elapsed: 0.069 s
% 6.60/1.97  % (3681136)Peak memory usage: 89 MB
% 6.60/1.97  % (3681135)Peak memory usage: 89 MB
% 6.60/1.97  % (3681135)Instructions burned: 109 (million)
% 6.60/1.97  % (3681136)Instructions burned: 115 (million)
% 6.60/1.97  % (3681146)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=557109045:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.60/1.97  % (3681137)Instruction limit reached! 
% 6.60/1.97  % (3681137)------------------------------
% 6.60/1.97  % (3681137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.97  % (3681137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.97  % (3681137)CaDiCaL version: 2.1.3
% 6.60/1.97  % (3681137)Termination reason: Instruction limit
% 6.60/1.97  % (3681137)Termination phase: Saturation
% 6.60/1.97  % (3681137)Time elapsed: 0.123 s
% 6.60/1.97  % (3681137)Peak memory usage: 90 MB
% 6.60/1.97  % (3681137)Instructions burned: 181 (million)
% 6.60/1.97  % (3681146)Instruction limit reached! 
% 6.60/1.97  % (3681146)------------------------------
% 6.60/1.97  % (3681146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.97  % (3681146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.97  % (3681146)CaDiCaL version: 2.1.3
% 6.60/1.97  % (3681146)Termination reason: Instruction limit
% 6.60/1.97  % (3681146)Termination phase: Saturation
% 6.60/1.97  % (3681146)Time elapsed: 0.049 s
% 6.60/1.97  % (3681146)Peak memory usage: 90 MB
% 6.60/1.97  % (3681146)Instructions burned: 144 (million)
% 6.60/1.97  % (3681147)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2690451501: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)
% 6.60/1.97  % (3681148)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1835220053:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.60/1.97  % (3681150)lrs+10_64_to=lpo:sil=8000:random_seed=4180341228:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.60/1.97  % (3681151)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1424187495:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 6.60/1.97  % (3681151)Instruction limit reached! 
% 6.60/1.97  % (3681151)------------------------------
% 6.60/1.97  % (3681151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.97  % (3681151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.97  % (3681151)CaDiCaL version: 2.1.3
% 6.60/1.97  % (3681151)Termination reason: Instruction limit
% 6.60/1.97  % (3681151)Termination phase: Saturation
% 6.60/1.97  % (3681151)Time elapsed: 0.059 s
% 6.60/1.97  % (3681151)Peak memory usage: 90 MB
% 6.60/1.97  % (3681151)Instructions burned: 196 (million)
% 6.60/1.97  % (3681147)Instruction limit reached! 
% 6.60/1.97  % (3681147)------------------------------
% 6.60/1.97  % (3681147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.97  % (3681147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.97  % (3681147)CaDiCaL version: 2.1.3
% 6.60/1.97  % (3681147)Termination reason: Instruction limit
% 6.60/1.97  % (3681147)Termination phase: Saturation
% 6.60/1.97  % (3681147)Time elapsed: 0.098 s
% 6.60/1.97  % (3681147)Peak memory usage: 90 MB
% 6.60/1.97  % (3681147)Instructions burned: 189 (million)
% 6.60/1.97  % (3681150)Instruction limit reached! 
% 6.60/1.97  % (3681150)------------------------------
% 6.60/1.97  % (3681150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.97  % (3681150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.97  % (3681150)CaDiCaL version: 2.1.3
% 6.60/1.97  % (3681150)Termination reason: Instruction limit
% 6.60/1.97  % (3681150)Termination phase: Saturation
% 6.60/1.97  % (3681150)Time elapsed: 0.065 s
% 6.60/1.97  % (3681150)Peak memory usage: 90 MB
% 6.60/1.97  % (3681150)Instructions burned: 127 (million)
% 6.60/1.97  % (3681148)Instruction limit reached! 
% 6.60/1.97  % (3681148)------------------------------
% 6.60/1.97  % (3681148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.97  % (3681148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.97  % (3681148)CaDiCaL version: 2.1.3
% 6.60/1.97  % (3681148)Termination reason: Instruction limit
% 6.60/1.97  % (3681148)Termination phase: Saturation
% 6.60/1.97  % (3681148)Time elapsed: 0.129 s
% 6.60/1.97  % (3681148)Peak memory usage: 90 MB
% 6.60/1.97  % (3681148)Instructions burned: 220 (million)
% 6.60/1.97  % (3681156)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=776403140:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.60/1.97  % (3681158)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2532556395:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.60/1.97  % (3681157)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2900140949:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.60/1.97  % (3681156)Instruction limit reached! 
% 6.60/1.97  % (3681156)------------------------------
% 6.60/1.97  % (3681156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.97  % (3681156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.97  % (3681156)CaDiCaL version: 2.1.3
% 6.60/1.97  % (3681156)Termination reason: Instruction limit
% 6.60/1.97  % (3681156)Termination phase: Saturation
% 6.60/1.97  % (3681156)Time elapsed: 0.051 s
% 6.60/1.97  % (3681156)Peak memory usage: 91 MB
% 6.60/1.97  % (3681156)Instructions burned: 157 (million)
% 6.60/1.97  % (3681159)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2199538897:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 6.60/1.97  % (3681158)Instruction limit reached! 
% 6.60/1.97  % (3681158)------------------------------
% 6.60/1.97  % (3681158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.97  % (3681158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.97  % (3681158)CaDiCaL version: 2.1.3
% 6.60/1.97  % (3681158)Termination reason: Instruction limit
% 6.60/1.97  % (3681158)Termination phase: Saturation
% 6.60/1.97  % (3681158)Time elapsed: 0.059 s
% 6.60/1.97  % (3681158)Peak memory usage: 90 MB
% 6.60/1.97  % (3681158)Instructions burned: 107 (million)
% 6.60/1.97  % (3681163)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=935236245:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.60/1.97  % (3681159)Instruction limit reached! 
% 6.60/1.97  % (3681159)------------------------------
% 6.60/1.97  % (3681159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.97  % (3681159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.97  % (3681159)CaDiCaL version: 2.1.3
% 6.60/1.97  % (3681159)Termination reason: Instruction limit
% 6.60/1.97  % (3681159)Termination phase: Saturation
% 6.60/1.97  % (3681159)Time elapsed: 0.068 s
% 6.60/1.97  % (3681159)Peak memory usage: 90 MB
% 6.60/1.97  % (3681159)Instructions burned: 107 (million)
% 6.60/1.97  % (3681165)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=691390667:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 6.60/1.97  % (3681163)Instruction limit reached! 
% 6.60/1.97  % (3681163)------------------------------
% 6.60/1.97  % (3681163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.97  % (3681163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.97  % (3681163)CaDiCaL version: 2.1.3
% 6.60/1.97  % (3681163)Termination reason: Instruction limit
% 6.60/1.97  % (3681163)Termination phase: Saturation
% 6.60/1.97  % (3681163)Time elapsed: 0.084 s
% 6.60/1.97  % (3681163)Peak memory usage: 90 MB
% 6.60/1.97  % (3681163)Instructions burned: 245 (million)
% 6.60/1.97  % (3681167)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2431002098:i=134:sd=2:doe=on:ss=axioms:sgt=14_2993 on theBenchmark for (2993ds/134Mi)
% 6.60/1.97  % (3681132)First to succeed.
% 6.60/1.97  % (3681132)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3681127"
% 6.60/1.97  % (3681169)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=582591056:i=499:bd=all_2992 on theBenchmark for (2992ds/499Mi)
% 6.60/1.97  % (3681167)Instruction limit reached! 
% 6.60/1.97  % (3681167)------------------------------
% 6.60/1.97  % (3681167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.97  % (3681167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.97  % (3681167)CaDiCaL version: 2.1.3
% 6.60/1.97  % (3681167)Termination reason: Instruction limit
% 6.60/1.97  % (3681167)Termination phase: Saturation
% 6.60/1.97  % (3681167)Time elapsed: 0.093 s
% 6.60/1.97  % (3681167)Peak memory usage: 90 MB
% 6.60/1.97  % (3681167)Instructions burned: 134 (million)
% 6.60/1.97  % (3681134)Also succeeded, but the first one will report.
% 6.60/1.97  % (3681169)Instruction limit reached! 
% 6.60/1.97  % (3681169)------------------------------
% 6.60/1.97  % (3681169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/1.97  % (3681169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.97  % (3681169)CaDiCaL version: 2.1.3
% 6.60/1.97  % (3681169)Termination reason: Instruction limit
% 6.60/1.97  % (3681169)Termination phase: Saturation
% 6.60/1.97  % (3681169)Time elapsed: 0.138 s
% 6.60/1.97  % (3681169)Peak memory usage: 96 MB
% 6.60/1.97  % (3681169)Instructions burned: 499 (million)
% 6.60/1.97  % (3681172)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2968718586:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 6.60/1.97  % (3681132)Refutation found. Thanks to Tanya!
% 6.60/1.97  % SZS status Unsatisfiable for theBenchmark
% 6.60/1.97  % SZS output start Proof for theBenchmark
% See solution above
% 8.37/2.17  % (3681132)------------------------------
% 8.37/2.17  % (3681132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.37/2.17  % (3681132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.37/2.17  % (3681132)CaDiCaL version: 2.1.3
% 8.37/2.17  % (3681132)Termination reason: Refutation
% 8.37/2.17  % (3681132)Time elapsed: 0.686 s
% 8.37/2.17  % (3681132)Peak memory usage: 129 MB
% 8.37/2.17  % (3681132)Instructions burned: 1011 (million)
% 8.37/2.17  % (3681132)------------------------------
% 8.37/2.17  % (3681132)------------------------------
% 8.37/2.17  % (3681127)Success in time 1.104 s
% 8.37/2.17  % Vampire exiting
%------------------------------------------------------------------------------