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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC089-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n005.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 01:04:37 PM UTC 2026

% Result   : Unsatisfiable 15.92s 2.76s
% Output   : Refutation 15.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   38
% Syntax   : Number of formulae    :  183 (  31 unt;  16 def)
%            Number of atoms       :  566 (  64 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  714 ( 331   ~; 367   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  20 usr;  17 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   59 (   0 sgn  59   !;   0   ?)

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

fof(f56,axiom,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause56) ).

fof(f57,axiom,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).

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

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

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

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

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

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

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

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

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

fof(f186,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(app(app(X3,X0),X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause172) ).

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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause173) ).

fof(f202,negated_conjecture,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f203,negated_conjecture,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

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

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

fof(f206,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk2,X0)
      | ~ segmentP(sk1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

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

fof(f210,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ~ neq(sk4,nil)
      | ~ ssList(X0)
      | sk4 = X0
      | ~ ssList(X1)
      | ~ ssList(X2)
      | tl(sk3) != X1
      | app(X1,X2) != X0
      | ~ ssItem(X3)
      | cons(X3,nil) != X2
      | hd(sk3) != X3
      | ~ neq(nil,sk3)
      | ~ neq(nil,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f213,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f206,f204]) ).

fof(f214,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(definition_unfolding,[],[f207,f204,f205]) ).

fof(f229,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | segmentP(app(app(X0,X1),X2),X1) ),
    inference(equality_resolution,[],[f187]) ).

fof(f239,plain,
    ! [X2,X3,X0] :
      ( ~ neq(sk4,nil)
      | ~ ssList(X0)
      | sk4 = X0
      | ~ ssList(tl(sk3))
      | ~ ssList(X2)
      | app(tl(sk3),X2) != X0
      | ~ ssItem(X3)
      | cons(X3,nil) != X2
      | hd(sk3) != X3
      | ~ neq(nil,sk3)
      | ~ neq(nil,sk3) ),
    inference(equality_resolution,[],[f210]) ).

fof(f240,plain,
    ! [X2,X3] :
      ( ~ neq(sk4,nil)
      | ~ ssList(app(tl(sk3),X2))
      | sk4 = app(tl(sk3),X2)
      | ~ ssList(tl(sk3))
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | cons(X3,nil) != X2
      | hd(sk3) != X3
      | ~ neq(nil,sk3)
      | ~ neq(nil,sk3) ),
    inference(equality_resolution,[],[f239]) ).

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

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

fof(f259,plain,
    ! [X0,X1] :
      ( ~ neq(X1,X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 = X1 ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f286,plain,
    ~ neq(sk4,nil),
    inference(consistent_polarity_flipping,[],[f213]) ).

fof(f287,plain,
    ! [X0] :
      ( ~ segmentP(sk4,X0)
      | neq(X0,nil)
      | ~ ssList(X0)
      | ~ segmentP(sk3,X0) ),
    inference(consistent_polarity_flipping,[],[f214]) ).

fof(f288,plain,
    ( neq(sk4,nil)
    | ~ neq(sk3,nil) ),
    inference(consistent_polarity_flipping,[],[f209]) ).

fof(f289,plain,
    ( neq(sk4,nil)
    | ~ ssList(app(tl(sk3),cons(hd(sk3),nil)))
    | sk4 = app(tl(sk3),cons(hd(sk3),nil))
    | ~ ssList(tl(sk3))
    | ~ ssList(cons(hd(sk3),nil))
    | ~ ssItem(hd(sk3))
    | neq(nil,sk3)
    | neq(nil,sk3) ),
    inference(consistent_polarity_flipping,[],[f242]) ).

fof(f290,plain,
    ( neq(sk4,nil)
    | ~ ssList(app(tl(sk3),cons(hd(sk3),nil)))
    | sk4 = app(tl(sk3),cons(hd(sk3),nil))
    | ~ ssList(tl(sk3))
    | ~ ssList(cons(hd(sk3),nil))
    | ~ ssItem(hd(sk3))
    | neq(nil,sk3) ),
    inference(duplicate_literal_removal,[],[f289]) ).

fof(f298,definition,
    ( spl0_1
  <=> neq(nil,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f300,plain,
    ( neq(nil,sk3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f302,definition,
    ( spl0_2
  <=> ssItem(hd(sk3)) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f303,plain,
    ( ssItem(hd(sk3))
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f304,plain,
    ( ~ ssItem(hd(sk3))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f306,definition,
    ( spl0_3
  <=> ssList(cons(hd(sk3),nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f307,plain,
    ( ssList(cons(hd(sk3),nil))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f308,plain,
    ( ~ ssList(cons(hd(sk3),nil))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f310,definition,
    ( spl0_4
  <=> ssList(tl(sk3)) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f311,plain,
    ( ssList(tl(sk3))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f312,plain,
    ( ~ ssList(tl(sk3))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f310]) ).

fof(f314,definition,
    ( spl0_5
  <=> sk4 = app(tl(sk3),cons(hd(sk3),nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f316,plain,
    ( sk4 = app(tl(sk3),cons(hd(sk3),nil))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f314]) ).

fof(f318,definition,
    ( spl0_6
  <=> ssList(app(tl(sk3),cons(hd(sk3),nil))) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f320,plain,
    ( ~ ssList(app(tl(sk3),cons(hd(sk3),nil)))
    | spl0_6 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f322,definition,
    ( spl0_7
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f323,plain,
    ( ~ neq(sk4,nil)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f325,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f290,f322,f318,f314,f310,f306,f302,f298]) ).

fof(f327,definition,
    ( spl0_8
  <=> neq(sk3,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f329,plain,
    ( ~ neq(sk3,nil)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f330,plain,
    ( ~ spl0_8
    | spl0_7 ),
    inference(avatar_split_clause,[],[f288,f322,f327]) ).

fof(f336,definition,
    ( spl0_10
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f337,plain,
    ( nil != sk3
    | spl0_10 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f338,plain,
    ( nil = sk3
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f340,plain,
    ~ spl0_7,
    inference(avatar_split_clause,[],[f286,f322]) ).

fof(f346,definition,
    ( spl0_12
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f347,plain,
    ( ssList(nil)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f382,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f8,f346]) ).

fof(f415,plain,
    ( ~ ssList(sk4)
    | neq(nil,nil)
    | ~ ssList(nil)
    | ~ segmentP(sk3,nil) ),
    inference(resolution,[],[f56,f287]) ).

fof(f416,plain,
    ( neq(nil,nil)
    | ~ ssList(nil)
    | ~ segmentP(sk3,nil) ),
    inference(forward_subsumption_resolution,[],[f415,f203]) ).

fof(f417,plain,
    ( neq(nil,nil)
    | ~ segmentP(sk3,nil)
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f416,f347]) ).

fof(f419,definition,
    ( spl0_20
  <=> segmentP(sk3,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f421,plain,
    ( ~ segmentP(sk3,nil)
    | spl0_20 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f423,definition,
    ( spl0_21
  <=> neq(nil,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f425,plain,
    ( neq(nil,nil)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f426,plain,
    ( ~ spl0_20
    | spl0_21
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f417,f346,f423,f419]) ).

fof(f427,plain,
    ( ~ ssList(sk4)
    | neq(sk4,nil)
    | ~ ssList(sk4)
    | ~ segmentP(sk3,sk4) ),
    inference(resolution,[],[f57,f287]) ).

fof(f428,plain,
    ( ~ ssList(sk4)
    | neq(sk4,nil)
    | ~ segmentP(sk3,sk4) ),
    inference(duplicate_literal_removal,[],[f427]) ).

fof(f429,plain,
    ( neq(sk4,nil)
    | ~ segmentP(sk3,sk4) ),
    inference(forward_subsumption_resolution,[],[f428,f203]) ).

fof(f430,plain,
    ( ~ segmentP(sk3,sk4)
    | spl0_7 ),
    inference(forward_subsumption_resolution,[],[f429,f323]) ).

fof(f431,plain,
    ( ~ ssList(sk3)
    | spl0_20 ),
    inference(resolution,[],[f421,f56]) ).

fof(f432,plain,
    ( $false
    | spl0_20 ),
    inference(forward_subsumption_resolution,[],[f431,f202]) ).

fof(f433,plain,
    spl0_20,
    inference(avatar_contradiction_clause,[],[f432]) ).

fof(f462,plain,
    sk3 = app(sk3,nil),
    inference(resolution,[],[f73,f202]) ).

fof(f492,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f74,f202]) ).

fof(f497,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | spl0_2 ),
    inference(resolution,[],[f76,f304]) ).

fof(f498,plain,
    ( nil = sk3
    | spl0_2 ),
    inference(forward_subsumption_resolution,[],[f497,f202]) ).

fof(f499,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f498,f302,f336]) ).

fof(f502,plain,
    ( ~ neq(nil,nil)
    | spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f329,f338]) ).

fof(f507,plain,
    ( $false
    | spl0_8
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_subsumption_resolution,[],[f502,f425]) ).

fof(f508,plain,
    ( spl0_8
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(avatar_contradiction_clause,[],[f507]) ).

fof(f533,plain,
    ( ~ ssList(nil)
    | ~ ssItem(hd(sk3))
    | spl0_3 ),
    inference(resolution,[],[f86,f308]) ).

fof(f537,plain,
    ( ~ ssItem(hd(sk3))
    | spl0_3
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f533,f347]) ).

fof(f538,plain,
    ( $false
    | ~ spl0_2
    | spl0_3
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f537,f303]) ).

fof(f539,plain,
    ( ~ spl0_2
    | spl0_3
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f538]) ).

fof(f540,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | spl0_4 ),
    inference(resolution,[],[f312,f75]) ).

fof(f541,plain,
    ( nil = sk3
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f540,f202]) ).

fof(f542,plain,
    ( $false
    | spl0_4
    | spl0_10 ),
    inference(forward_subsumption_resolution,[],[f541,f337]) ).

fof(f543,plain,
    ( spl0_4
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f542]) ).

fof(f544,plain,
    ( tl(sk3) = app(nil,tl(sk3))
    | ~ spl0_4 ),
    inference(resolution,[],[f311,f74]) ).

fof(f550,plain,
    ( ~ ssList(tl(sk3))
    | ~ ssList(cons(hd(sk3),nil))
    | spl0_6 ),
    inference(resolution,[],[f320,f85]) ).

fof(f551,plain,
    ( ~ ssList(cons(hd(sk3),nil))
    | ~ spl0_4
    | spl0_6 ),
    inference(forward_subsumption_resolution,[],[f550,f311]) ).

fof(f552,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | spl0_6 ),
    inference(forward_subsumption_resolution,[],[f551,f307]) ).

fof(f553,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f552]) ).

fof(f643,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_1 ),
    inference(resolution,[],[f259,f300]) ).

fof(f647,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f643,f347]) ).

fof(f648,plain,
    ( nil = sk3
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f647,f202]) ).

fof(f649,plain,
    ( $false
    | ~ spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f648,f337]) ).

fof(f650,plain,
    ( ~ spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f649]) ).

fof(f724,plain,
    ( sk3 = cons(hd(sk3),tl(sk3))
    | nil = sk3 ),
    inference(resolution,[],[f107,f202]) ).

fof(f727,plain,
    ( sk3 = cons(hd(sk3),tl(sk3))
    | spl0_10 ),
    inference(forward_subsumption_resolution,[],[f724,f337]) ).

fof(f729,definition,
    ( spl0_22
  <=> nil = tl(sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f730,plain,
    ( nil != tl(sk3)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f731,plain,
    ( nil = tl(sk3)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f904,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | cons(hd(sk3),X0) = app(cons(hd(sk3),nil),X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f126,f303]) ).

fof(f905,plain,
    ( sk3 = cons(hd(sk3),nil)
    | spl0_10
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f727,f731]) ).

fof(f907,plain,
    ( sk4 = app(tl(sk3),sk3)
    | ~ spl0_5
    | spl0_10
    | ~ spl0_22 ),
    inference(superposition,[],[f316,f905]) ).

fof(f941,plain,
    ( sk4 = app(nil,sk3)
    | ~ spl0_5
    | spl0_10
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f907,f731]) ).

fof(f948,plain,
    ( sk3 = sk4
    | ~ spl0_5
    | spl0_10
    | ~ spl0_22 ),
    inference(forward_demodulation,[],[f941,f492]) ).

fof(f1039,definition,
    ( spl0_31
  <=> sk3 = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f1041,plain,
    ( sk3 = sk4
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f1039]) ).

fof(f1178,plain,
    ( spl0_31
    | ~ spl0_5
    | spl0_10
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f948,f729,f336,f314,f1039]) ).

fof(f1190,plain,
    ( ~ segmentP(sk3,sk3)
    | spl0_7
    | ~ spl0_31 ),
    inference(superposition,[],[f430,f1041]) ).

fof(f1253,plain,
    ( ~ ssList(sk3)
    | spl0_7
    | ~ spl0_31 ),
    inference(resolution,[],[f1190,f57]) ).

fof(f1254,plain,
    ( $false
    | spl0_7
    | ~ spl0_31 ),
    inference(forward_subsumption_resolution,[],[f1253,f202]) ).

fof(f1255,plain,
    ( spl0_7
    | ~ spl0_31 ),
    inference(avatar_contradiction_clause,[],[f1254]) ).

fof(f1623,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X2)
      | segmentP(app(app(X1,X2),X0),X2)
      | ~ ssList(X2) ),
    inference(resolution,[],[f186,f57]) ).

fof(f1624,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(app(app(X1,X2),X0),X2) ),
    inference(duplicate_literal_removal,[],[f1623]) ).

fof(f1671,plain,
    ( ! [X0] :
        ( ~ ssList(app(tl(sk3),X0))
        | ~ ssList(nil)
        | ~ ssList(tl(sk3))
        | ~ ssList(X0)
        | segmentP(app(tl(sk3),X0),tl(sk3)) )
    | ~ spl0_4 ),
    inference(superposition,[],[f229,f544]) ).

fof(f1680,plain,
    ( ! [X0] :
        ( ~ ssList(app(tl(sk3),X0))
        | ~ ssList(tl(sk3))
        | ~ ssList(X0)
        | segmentP(app(tl(sk3),X0),tl(sk3)) )
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f1671,f347]) ).

fof(f1688,plain,
    ( ! [X0] :
        ( segmentP(app(tl(sk3),X0),tl(sk3))
        | ~ ssList(X0)
        | ~ ssList(app(tl(sk3),X0)) )
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f1680,f311]) ).

fof(f3218,plain,
    ( cons(hd(sk3),tl(sk3)) = app(cons(hd(sk3),nil),tl(sk3))
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(resolution,[],[f904,f311]) ).

fof(f3223,plain,
    ( sk3 = app(cons(hd(sk3),nil),tl(sk3))
    | ~ spl0_2
    | ~ spl0_4
    | spl0_10 ),
    inference(forward_demodulation,[],[f3218,f727]) ).

fof(f12679,plain,
    ( ! [X0,X1] :
        ( segmentP(app(app(X0,tl(sk3)),X1),tl(sk3))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl0_4 ),
    inference(resolution,[],[f1624,f311]) ).

fof(f17608,definition,
    ( spl0_422
  <=> segmentP(sk3,tl(sk3)) ),
    introduced(definition,[new_symbols(definition,[spl0_422])],[avatar_definition]) ).

fof(f17612,definition,
    ( spl0_423
  <=> neq(tl(sk3),nil) ),
    introduced(definition,[new_symbols(definition,[spl0_423])],[avatar_definition]) ).

fof(f17614,plain,
    ( neq(tl(sk3),nil)
    | ~ spl0_423 ),
    inference(avatar_component_clause,[],[f17612]) ).

fof(f52478,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),tl(sk3))
        | ~ ssList(X0)
        | ~ ssList(cons(hd(sk3),nil)) )
    | ~ spl0_2
    | ~ spl0_4
    | spl0_10 ),
    inference(superposition,[],[f12679,f3223]) ).

fof(f52482,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),tl(sk3))
        | ~ ssList(X0) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_10 ),
    inference(forward_subsumption_resolution,[],[f52478,f307]) ).

fof(f57246,plain,
    ( segmentP(sk4,tl(sk3))
    | ~ ssList(cons(hd(sk3),nil))
    | ~ ssList(sk4)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(superposition,[],[f1688,f316]) ).

fof(f57251,plain,
    ( segmentP(sk4,tl(sk3))
    | ~ ssList(sk4)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f57246,f307]) ).

fof(f57257,plain,
    ( segmentP(sk4,tl(sk3))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f57251,f203]) ).

fof(f57316,plain,
    ( neq(tl(sk3),nil)
    | ~ ssList(tl(sk3))
    | ~ segmentP(sk3,tl(sk3))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(resolution,[],[f57257,f287]) ).

fof(f92739,plain,
    ( segmentP(sk3,tl(sk3))
    | ~ ssList(nil)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_10 ),
    inference(superposition,[],[f52482,f462]) ).

fof(f92751,plain,
    ( neq(tl(sk3),nil)
    | ~ segmentP(sk3,tl(sk3))
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f57316,f311]) ).

fof(f92753,plain,
    ( segmentP(sk3,tl(sk3))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_10
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f92739,f347]) ).

fof(f92754,plain,
    ( ~ spl0_422
    | spl0_423
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f92751,f346,f314,f310,f306,f17612,f17608]) ).

fof(f92756,plain,
    ( spl0_422
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f92753,f346,f336,f310,f306,f302,f17608]) ).

fof(f92781,plain,
    ( ~ ssList(tl(sk3))
    | ~ ssList(nil)
    | nil = tl(sk3)
    | ~ spl0_423 ),
    inference(resolution,[],[f17614,f259]) ).

fof(f92782,plain,
    ( ~ ssList(nil)
    | nil = tl(sk3)
    | ~ spl0_4
    | ~ spl0_423 ),
    inference(forward_subsumption_resolution,[],[f92781,f311]) ).

fof(f92785,plain,
    ( nil = tl(sk3)
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_423 ),
    inference(forward_subsumption_resolution,[],[f92782,f347]) ).

fof(f92786,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12
    | spl0_22
    | ~ spl0_423 ),
    inference(forward_subsumption_resolution,[],[f92785,f730]) ).

fof(f92787,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | spl0_22
    | ~ spl0_423 ),
    inference(avatar_contradiction_clause,[],[f92786]) ).

cnf(s1,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f325]) ).

cnf(s2,plain,
    ( spl0_7
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f330]) ).

cnf(s4,plain,
    ~ spl0_7,
    inference(sat_conversion,[],[f340]) ).

cnf(s14,plain,
    spl0_12,
    inference(sat_conversion,[],[f382]) ).

cnf(s16,plain,
    ( ~ spl0_12
    | ~ spl0_20
    | spl0_21 ),
    inference(sat_conversion,[],[f426]) ).

cnf(s17,plain,
    spl0_20,
    inference(sat_conversion,[],[f433]) ).

cnf(s18,plain,
    ( spl0_2
    | spl0_10 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s19,plain,
    ( spl0_8
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f508]) ).

cnf(s20,plain,
    ( ~ spl0_2
    | spl0_3
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f539]) ).

cnf(s21,plain,
    ( spl0_4
    | spl0_10 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s22,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | spl0_6 ),
    inference(sat_conversion,[],[f553]) ).

cnf(s23,plain,
    ( ~ spl0_1
    | spl0_10
    | ~ spl0_12 ),
    inference(sat_conversion,[],[f650]) ).

cnf(s37,plain,
    ( ~ spl0_5
    | spl0_10
    | ~ spl0_22
    | spl0_31 ),
    inference(sat_conversion,[],[f1178]) ).

cnf(s39,plain,
    ( spl0_7
    | ~ spl0_31 ),
    inference(sat_conversion,[],[f1255]) ).

cnf(s3061,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_422
    | spl0_423 ),
    inference(sat_conversion,[],[f92754]) ).

cnf(s3063,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_10
    | ~ spl0_12
    | spl0_422 ),
    inference(sat_conversion,[],[f92756]) ).

cnf(s3065,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | spl0_22
    | ~ spl0_423 ),
    inference(sat_conversion,[],[f92787]) ).

cnf(s3098,plain,
    ( ~ spl0_12
    | spl0_21 ),
    inference(rat,[],[s16,s17]) ).

cnf(s3099,plain,
    spl0_21,
    inference(rat,[],[s3098,s14]) ).

cnf(s3105,plain,
    ~ spl0_31,
    inference(rat,[],[s39,s4]) ).

cnf(s3106,plain,
    ~ spl0_8,
    inference(rat,[],[s2,s4]) ).

cnf(s3108,plain,
    ~ spl0_10,
    inference(rat,[],[s19,s3099,s3106]) ).

cnf(s3117,plain,
    ~ spl0_1,
    inference(rat,[],[s23,s14,s3108]) ).

cnf(s3118,plain,
    spl0_4,
    inference(rat,[],[s21,s3108]) ).

cnf(s3119,plain,
    spl0_2,
    inference(rat,[],[s18,s3108]) ).

cnf(s3161,plain,
    spl0_3,
    inference(rat,[],[s20,s14,s3119]) ).

cnf(s3188,plain,
    spl0_422,
    inference(rat,[],[s3063,s3119,s14,s3108,s3118,s3161]) ).

cnf(s3198,plain,
    spl0_6,
    inference(rat,[],[s22,s3118,s3161]) ).

cnf(s3294,plain,
    spl0_5,
    inference(rat,[],[s1,s4,s3198,s3118,s3161,s3119,s3117]) ).

cnf(s3298,plain,
    ~ spl0_22,
    inference(rat,[],[s37,s3105,s3108,s3294]) ).

cnf(s3299,plain,
    spl0_423,
    inference(rat,[],[s3061,s3161,s3188,s14,s3118,s3294]) ).

cnf(s3318,plain,
    $false,
    inference(rat,[],[s3065,s3118,s14,s3299,s3298]) ).

fof(f92788,plain,
    $false,
    inference(avatar_sat_refutation,[],[s3318]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC089-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36  % Computer : n005.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 28 07:48:47 UTC 2026
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39  Running first-order model finding
% 0.13/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.92/2.76  % (627309)Will run a generic schedule for satisfiability detection.
% 15.92/2.76  % (627319)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1079050808:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.92/2.76  % (627315)% WARNING: option uhcvi not known.
% 15.92/2.76  % (627314)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3687663274_2999 on theBenchmark for (2999ds/0Mi)
% 15.92/2.76  % (627316)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3294182217:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.92/2.76  % (627317)dis+10_1_sil=32000:sp=arity:random_seed=806366894:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.92/2.76  % (627320)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3946782039:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.92/2.76  % (627318)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=957236264:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.92/2.76  % (627315)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3702914146:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.92/2.76  % TRYING [1]
% 15.92/2.76  % TRYING [2]
% 15.92/2.76  % TRYING [3]
% 15.92/2.76  % (627319)Instruction limit reached! 
% 15.92/2.76  % (627319)------------------------------
% 15.92/2.76  % (627319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.76  % (627319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.76  % (627319)CaDiCaL version: 2.1.3
% 15.92/2.76  % (627319)Termination reason: Instruction limit
% 15.92/2.76  % (627319)Termination phase: Saturation
% 15.92/2.76  % (627319)Time elapsed: 0.039 s
% 15.92/2.76  % (627319)Peak memory usage: 14 MB
% 15.92/2.76  % (627319)Instructions burned: 132 (million)
% 15.92/2.76  % TRYING [4]
% 15.92/2.76  % (627328)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4034305918:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.92/2.76  % (627318)Instruction limit reached! 
% 15.92/2.76  % (627318)------------------------------
% 15.92/2.76  % (627318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.76  % (627318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.76  % (627318)CaDiCaL version: 2.1.3
% 15.92/2.76  % (627318)Termination reason: Instruction limit
% 15.92/2.76  % (627318)Termination phase: Saturation
% 15.92/2.76  % (627318)Time elapsed: 0.061 s
% 15.92/2.76  % (627318)Peak memory usage: 13 MB
% 15.92/2.76  % (627318)Instructions burned: 116 (million)
% 15.92/2.76  % TRYING [1]
% 15.92/2.76  % (627317)Instruction limit reached! 
% 15.92/2.76  % (627317)------------------------------
% 15.92/2.76  % (627317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.76  % (627317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.76  % (627317)CaDiCaL version: 2.1.3
% 15.92/2.76  % (627317)Termination reason: Instruction limit
% 15.92/2.76  % (627317)Termination phase: Saturation
% 15.92/2.76  % (627317)Time elapsed: 0.063 s
% 15.92/2.76  % (627317)Peak memory usage: 13 MB
% 15.92/2.76  % (627317)Instructions burned: 103 (million)
% 15.92/2.76  % TRYING [2]
% 15.92/2.76  % TRYING [3]
% 15.92/2.76  % (627330)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3651198429:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 15.92/2.76  % (627331)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=1930417813:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 15.92/2.76  % TRYING [4]
% 15.92/2.76  % (627320)Instruction limit reached! 
% 15.92/2.76  % (627320)------------------------------
% 15.92/2.76  % (627320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.76  % (627320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.76  % (627320)CaDiCaL version: 2.1.3
% 15.92/2.76  % (627320)Termination reason: Instruction limit
% 15.92/2.76  % (627320)Termination phase: Saturation
% 15.92/2.76  % (627320)Time elapsed: 0.093 s
% 15.92/2.76  % (627320)Peak memory usage: 14 MB
% 15.92/2.76  % (627320)Instructions burned: 160 (million)
% 15.92/2.76  % TRYING [5]
% 15.92/2.76  % (627330)Instruction limit reached! 
% 15.92/2.76  % (627330)------------------------------
% 15.92/2.76  % (627330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.76  % (627330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.76  % (627330)CaDiCaL version: 2.1.3
% 15.92/2.76  % (627330)Termination reason: Instruction limit
% 15.92/2.76  % (627330)Termination phase: Saturation
% 15.92/2.76  % (627330)Time elapsed: 0.039 s
% 15.92/2.76  % (627330)Peak memory usage: 14 MB
% 15.92/2.76  % (627330)Instructions burned: 133 (million)
% 15.92/2.76  % (627334)ott-21_1_sil=16000:fs=off:random_seed=100318327:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.92/2.76  % (627336)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1298802103:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 15.92/2.76  % TRYING [5]
% 15.92/2.76  % (627334)Instruction limit reached! 
% 15.92/2.76  % (627334)------------------------------
% 15.92/2.76  % (627334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.76  % (627334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.76  % (627334)CaDiCaL version: 2.1.3
% 15.92/2.76  % (627334)Termination reason: Instruction limit
% 15.92/2.76  % (627334)Termination phase: Saturation
% 15.92/2.76  % (627334)Time elapsed: 0.091 s
% 15.92/2.76  % (627334)Peak memory usage: 13 MB
% 15.92/2.76  % (627334)Instructions burned: 181 (million)
% 15.92/2.76  % (627338)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1570075365:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 15.92/2.76  % TRYING [1]
% 15.92/2.76  % TRYING [2]
% 15.92/2.76  % TRYING [3]
% 15.92/2.76  % TRYING [6]
% 15.92/2.76  % TRYING [4]
% 15.92/2.76  % (627336)Instruction limit reached! 
% 15.92/2.76  % (627336)------------------------------
% 15.92/2.76  % (627336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.76  % (627336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.76  % (627336)CaDiCaL version: 2.1.3
% 15.92/2.76  % (627336)Termination reason: Instruction limit
% 15.92/2.76  % (627336)Termination phase: Saturation
% 15.92/2.76  % (627336)Time elapsed: 0.169 s
% 15.92/2.76  % (627336)Peak memory usage: 15 MB
% 15.92/2.76  % (627336)Instructions burned: 479 (million)
% 15.92/2.76  % (627340)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=165110567:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 15.92/2.76  % TRYING [6]
% 15.92/2.76  % (627328)Instruction limit reached! 
% 15.92/2.76  % (627328)------------------------------
% 15.92/2.76  % (627328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.76  % (627328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.76  % (627328)CaDiCaL version: 2.1.3
% 15.92/2.76  % (627328)Termination reason: Instruction limit
% 15.92/2.76  % (627328)Termination phase: Finite model building constraint generation
% 15.92/2.76  % (627328)Time elapsed: 0.278 s
% 15.92/2.76  % (627328)Peak memory usage: 36 MB
% 15.92/2.76  % (627328)Instructions burned: 714 (million)
% 15.92/2.76  % (627342)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2290439576:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 15.92/2.76  % TRYING [5]
% 15.92/2.76  % TRYING [14]
% 15.92/2.76  % (627331)Instruction limit reached! 
% 15.92/2.76  % (627331)------------------------------
% 15.92/2.76  % (627331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.76  % (627331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.76  % (627331)CaDiCaL version: 2.1.3
% 15.92/2.76  % (627331)Termination reason: Instruction limit
% 15.92/2.76  % (627331)Termination phase: Saturation
% 15.92/2.76  % (627331)Time elapsed: 0.437 s
% 15.92/2.76  % (627331)Peak memory usage: 19 MB
% 15.92/2.76  % (627331)Instructions burned: 685 (million)
% 15.92/2.76  % (627344)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=2805411026: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)
% 15.92/2.76  % (627338)Instruction limit reached! 
% 15.92/2.76  % (627338)------------------------------
% 15.92/2.76  % (627338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.76  % (627338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.76  % (627338)CaDiCaL version: 2.1.3
% 15.92/2.76  % (627338)Termination reason: Instruction limit
% 15.92/2.76  % (627338)Termination phase: Finite model building SAT solving
% 15.92/2.76  % (627338)Time elapsed: 0.336 s
% 15.92/2.76  % (627338)Peak memory usage: 23 MB
% 15.92/2.76  % (627338)Instructions burned: 868 (million)
% 15.92/2.76  % (627346)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3147407062:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 15.92/2.76  % (627340)Instruction limit reached! 
% 15.92/2.76  % (627340)------------------------------
% 15.92/2.76  % (627340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.76  % (627340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.76  % (627340)CaDiCaL version: 2.1.3
% 15.92/2.76  % (627340)Termination reason: Instruction limit
% 15.92/2.76  % (627340)Termination phase: Saturation
% 15.92/2.76  % (627340)Time elapsed: 0.361 s
% 15.92/2.76  % (627340)Peak memory usage: 30 MB
% 15.92/2.76  % (627340)Instructions burned: 1181 (million)
% 15.92/2.76  % (627342)Instruction limit reached! 
% 15.92/2.76  % (627342)------------------------------
% 15.92/2.76  % (627342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.76  % (627342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.76  % (627342)CaDiCaL version: 2.1.3
% 15.92/2.76  % (627342)Termination reason: Instruction limit
% 15.92/2.76  % (627342)Termination phase: Finite model building constraint generation
% 15.92/2.76  % (627342)Time elapsed: 0.324 s
% 15.92/2.76  % (627342)Peak memory usage: 72 MB
% 15.92/2.76  % (627342)Instructions burned: 889 (million)
% 15.92/2.76  % (627348)fmb+10_1_sil=64000:random_seed=282002207:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 15.92/2.76  % TRYING [1]
% 15.92/2.76  % TRYING [2]
% 15.92/2.76  % TRYING [3]
% 15.92/2.76  % (627350)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1891502525:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 15.92/2.76  % TRYING [20]
% 15.92/2.76  % TRYING [4]
% 15.92/2.76  % TRYING [7]
% 15.92/2.76  % TRYING [5]
% 15.92/2.76  % (627344)Instruction limit reached! 
% 15.92/2.76  % (627344)------------------------------
% 15.92/2.76  % (627344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.76  % (627344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.76  % (627344)CaDiCaL version: 2.1.3
% 15.92/2.76  % (627344)Termination reason: Instruction limit
% 15.92/2.76  % (627344)Termination phase: Saturation
% 15.92/2.76  % (627344)Time elapsed: 0.383 s
% 15.92/2.76  % (627344)Peak memory usage: 21 MB
% 15.92/2.76  % (627344)Instructions burned: 693 (million)
% 15.92/2.76  % (627352)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3604967343:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 15.92/2.76  % TRYING [8]
% 15.92/2.76  % TRYING [6]
% 15.92/2.76  % (627346)Instruction limit reached! 
% 15.92/2.76  % (627346)------------------------------
% 15.92/2.76  % (627346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.76  % (627346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.76  % (627346)CaDiCaL version: 2.1.3
% 15.92/2.76  % (627346)Termination reason: Instruction limit
% 15.92/2.76  % (627346)Termination phase: Saturation
% 15.92/2.76  % (627346)Time elapsed: 0.457 s
% 15.92/2.76  % (627346)Peak memory usage: 21 MB
% 15.92/2.76  % (627346)Instructions burned: 879 (million)
% 15.92/2.76  % (627354)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3009071040:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 15.92/2.76  % (627352)Instruction limit reached! 
% 15.92/2.76  % (627352)------------------------------
% 15.92/2.76  % (627352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.76  % (627352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.76  % (627352)CaDiCaL version: 2.1.3
% 15.92/2.76  % (627352)Termination reason: Instruction limit
% 15.92/2.76  % (627352)Termination phase: Finite model building constraint generation
% 15.92/2.76  % (627352)Time elapsed: 0.335 s
% 15.92/2.76  % (627352)Peak memory usage: 79 MB
% 15.92/2.76  % (627352)Instructions burned: 921 (million)
% 15.92/2.76  % (627356)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2740242926:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 15.92/2.76  % TRYING [7]
% 15.92/2.76  % TRYING [8]
% 15.92/2.76  % (627356)Instruction limit reached! 
% 15.92/2.76  % (627356)------------------------------
% 15.92/2.76  % (627356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.76  % (627356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.76  % (627356)CaDiCaL version: 2.1.3
% 15.92/2.76  % (627356)Termination reason: Instruction limit
% 15.92/2.76  % (627356)Termination phase: Saturation
% 15.92/2.76  % (627356)Time elapsed: 0.642 s
% 15.92/2.76  % (627356)Peak memory usage: 15 MB
% 15.92/2.76  % (627356)Instructions burned: 1473 (million)
% 15.92/2.76  % (627358)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3280473548:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 15.92/2.76  % TRYING [77]
% 15.92/2.76  % (627315) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-627309-627315"...
% 15.92/2.76  % (627315)...printing done.
% 15.92/2.76  % (627315)Refutation found. Thanks to Tanya!
% 15.92/2.76  % SZS status Unsatisfiable for theBenchmark
% 15.92/2.76  % SZS output start Proof for theBenchmark
% See solution above
% 15.92/2.77  % (627315)------------------------------
% 15.92/2.77  % (627315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.92/2.77  % (627315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.92/2.77  % (627315)CaDiCaL version: 2.1.3
% 15.92/2.77  % (627315)Termination reason: Refutation
% 15.92/2.77  % (627315)Time elapsed: 2.277 s
% 15.92/2.77  % (627315)Peak memory usage: 53 MB
% 15.92/2.77  % (627315)Instructions burned: 4004 (million)
% 15.92/2.77  % (627309)Success in time 2.359 s
% 15.92/2.77  % Vampire exiting
%------------------------------------------------------------------------------