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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC363-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:05:43 PM UTC 2026

% Result   : Unsatisfiable 14.48s 2.37s
% Output   : Refutation 14.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  135 (  31 unt;  11 def)
%            Number of atoms       :  407 (  25 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  539 ( 267   ~; 261   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  12 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   87 (   0 sgn  87   !;   0   ?)

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

fof(f51,axiom,
    ! [X0,X1] : ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).

fof(f52,axiom,
    ! [X0,X1] : ssList(skaf43(X0,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause52) ).

fof(f53,axiom,
    ! [X0,X1] : ssList(skaf42(X0,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause53) ).

fof(f61,axiom,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause61) ).

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

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

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

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

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

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

fof(f143,axiom,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X1,skaf45(X0,X1)) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).

fof(f164,axiom,
    ! [X2,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause152) ).

fof(f182,axiom,
    ! [X0,X1] :
      ( ~ memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause169) ).

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

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

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

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),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ~ segmentP(sk2,sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f209,negated_conjecture,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f210,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f211,plain,
    ( sk3 = cons(sk5,nil)
    | ~ neq(sk4,nil) ),
    inference(reorient_equations,[],[f210]) ).

fof(f212,negated_conjecture,
    ( memberP(sk4,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f215,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f206,f204]) ).

fof(f216,plain,
    ~ segmentP(sk4,sk3),
    inference(definition_unfolding,[],[f207,f204,f205]) ).

fof(f231,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(app(app(X0,X1),X2))
      | segmentP(app(app(X0,X1),X2),X1) ),
    inference(equality_resolution,[],[f187]) ).

fof(f234,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
      | ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
    inference(equality_resolution,[],[f193]) ).

fof(f280,plain,
    ! [X2,X0,X1] :
      ( ~ segmentP(X0,X2)
      | segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f164]) ).

fof(f288,plain,
    ! [X0,X1] :
      ( memberP(X0,X1)
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
    inference(consistent_polarity_flipping,[],[f182]) ).

fof(f290,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ segmentP(app(app(X0,X1),X2),X1) ),
    inference(consistent_polarity_flipping,[],[f231]) ).

fof(f296,plain,
    ~ neq(sk4,nil),
    inference(consistent_polarity_flipping,[],[f215]) ).

fof(f297,plain,
    segmentP(sk4,sk3),
    inference(consistent_polarity_flipping,[],[f216]) ).

fof(f298,plain,
    ( ssItem(sk5)
    | neq(sk4,nil) ),
    inference(consistent_polarity_flipping,[],[f209]) ).

fof(f299,plain,
    ( sk3 = cons(sk5,nil)
    | neq(sk4,nil) ),
    inference(consistent_polarity_flipping,[],[f211]) ).

fof(f300,plain,
    ( ~ memberP(sk4,sk5)
    | neq(sk4,nil) ),
    inference(consistent_polarity_flipping,[],[f212]) ).

fof(f308,definition,
    ( spl0_1
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f312,definition,
    ( spl0_2
  <=> memberP(sk4,sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f314,plain,
    ( ~ memberP(sk4,sk5)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f315,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f300,f312,f308]) ).

fof(f317,definition,
    ( spl0_3
  <=> sk3 = cons(sk5,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f319,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f320,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f299,f317,f308]) ).

fof(f322,definition,
    ( spl0_4
  <=> ssItem(sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f324,plain,
    ( ssItem(sk5)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f325,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f298,f322,f308]) ).

fof(f335,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f296,f308]) ).

fof(f341,definition,
    ( spl0_8
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f342,plain,
    ( ssList(nil)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f341]) ).

fof(f369,definition,
    ( spl0_14
  <=> ! [X1] : ssItem(X1) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f370,plain,
    ( ! [X1] : ssItem(X1)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f372,definition,
    ( spl0_15
  <=> ! [X0] :
        ( ~ ssList(X0)
        | duplicatefreeP(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f373,plain,
    ( ! [X0] :
        ( duplicatefreeP(X0)
        | ~ ssList(X0) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f374,plain,
    ( spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f72,f372,f369]) ).

fof(f377,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f8,f341]) ).

fof(f455,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f74,f202]) ).

fof(f475,plain,
    ( ! [X0,X1] :
        ( ssList(cons(X0,X1))
        | ~ ssList(X1) )
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f86,f370]) ).

fof(f1035,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | cons(sk5,X0) = app(cons(sk5,nil),X0) )
    | ~ spl0_4 ),
    inference(resolution,[],[f126,f324]) ).

fof(f1036,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | cons(sk5,X0) = app(sk3,X0) )
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f1035,f319]) ).

fof(f1321,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(X0)
      | app(X0,skaf45(X0,X0)) = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f143,f61]) ).

fof(f1324,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,skaf45(X0,X0)) = X0 ),
    inference(duplicate_literal_removal,[],[f1321]) ).

fof(f1441,plain,
    ! [X0] :
      ( segmentP(X0,sk3)
      | ~ ssList(sk3)
      | ~ ssList(X0)
      | ~ ssList(sk4)
      | segmentP(sk4,X0) ),
    inference(resolution,[],[f280,f297]) ).

fof(f1445,plain,
    ! [X0] :
      ( segmentP(X0,sk3)
      | ~ ssList(X0)
      | ~ ssList(sk4)
      | segmentP(sk4,X0) ),
    inference(forward_subsumption_resolution,[],[f1441,f202]) ).

fof(f1446,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(X0,sk3)
      | segmentP(sk4,X0) ),
    inference(forward_subsumption_resolution,[],[f1445,f203]) ).

fof(f1867,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(sk4)
    | sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | spl0_2 ),
    inference(resolution,[],[f288,f314]) ).

fof(f1876,plain,
    ( ~ ssList(sk4)
    | sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | spl0_2
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f1867,f324]) ).

fof(f1885,plain,
    ( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | spl0_2
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f1876,f203]) ).

fof(f1978,plain,
    ! [X0] :
      ( ~ ssList(app(sk3,X0))
      | ~ ssList(nil)
      | ~ ssList(sk3)
      | ~ ssList(X0)
      | ~ segmentP(app(sk3,X0),sk3) ),
    inference(superposition,[],[f290,f455]) ).

fof(f1983,plain,
    ( ! [X0] :
        ( ~ ssList(app(sk3,X0))
        | ~ ssList(sk3)
        | ~ ssList(X0)
        | ~ segmentP(app(sk3,X0),sk3) )
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f1978,f342]) ).

fof(f1986,plain,
    ( ! [X0] :
        ( ~ ssList(app(sk3,X0))
        | ~ ssList(X0)
        | ~ segmentP(app(sk3,X0),sk3) )
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f1983,f202]) ).

fof(f2124,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
        | ~ ssList(X2)
        | ~ ssList(X0)
        | ~ ssItem(X1)
        | ~ ssList(X3) )
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f234,f373]) ).

fof(f2182,plain,
    ( ! [X0,X1] :
        ( ~ ssList(app(app(X0,cons(sk5,X1)),sk3))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(sk5)
        | ~ ssList(nil) )
    | ~ spl0_3
    | ~ spl0_15 ),
    inference(superposition,[],[f2124,f319]) ).

fof(f2183,plain,
    ( ! [X0,X1] :
        ( ~ ssList(app(app(X0,cons(sk5,X1)),sk3))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f2182,f324]) ).

fof(f2200,plain,
    ( ! [X0,X1] :
        ( ~ ssList(app(app(X0,cons(sk5,X1)),sk3))
        | ~ ssList(X1)
        | ~ ssList(X0) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f2183,f342]) ).

fof(f2707,plain,
    ( ! [X0,X1] : cons(sk5,skaf43(X0,X1)) = app(sk3,skaf43(X0,X1))
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f1036,f52]) ).

fof(f3145,plain,
    ( ! [X0] :
        ( ~ ssList(app(sk4,X0))
        | ~ ssList(skaf42(sk4,sk5))
        | ~ ssList(cons(sk5,skaf43(sk5,sk4)))
        | ~ ssList(X0)
        | ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4))) )
    | spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f290,f1885]) ).

fof(f3150,plain,
    ( ! [X0] :
        ( ~ ssList(app(sk4,X0))
        | ~ ssList(cons(sk5,skaf43(sk5,sk4)))
        | ~ ssList(X0)
        | ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4))) )
    | spl0_2
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f3145,f53]) ).

fof(f3163,definition,
    ( spl0_73
  <=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f3164,plain,
    ( ssList(cons(sk5,skaf43(sk5,sk4)))
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f3163]) ).

fof(f3165,plain,
    ( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
    | spl0_73 ),
    inference(avatar_component_clause,[],[f3163]) ).

fof(f3177,definition,
    ( spl0_76
  <=> ! [X0] :
        ( ~ ssList(app(sk4,X0))
        | ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4)))
        | ~ ssList(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).

fof(f3178,plain,
    ( ! [X0] :
        ( ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4)))
        | ~ ssList(app(sk4,X0))
        | ~ ssList(X0) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f3177]) ).

fof(f3179,plain,
    ( ~ spl0_73
    | spl0_76
    | spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f3150,f322,f312,f3177,f3163]) ).

fof(f3388,plain,
    ( ~ ssList(app(sk4,sk3))
    | ~ ssList(skaf43(sk5,sk4))
    | ~ ssList(skaf42(sk4,sk5))
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(superposition,[],[f2200,f1885]) ).

fof(f3389,plain,
    ( ~ ssList(app(sk4,sk3))
    | ~ ssList(skaf42(sk4,sk5))
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f3388,f52]) ).

fof(f3392,plain,
    ( ~ ssList(app(sk4,sk3))
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f3389,f53]) ).

fof(f5295,plain,
    ( ~ ssList(sk4)
    | ~ ssList(sk3)
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(resolution,[],[f3392,f85]) ).

fof(f5296,plain,
    ( ~ ssList(sk3)
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f5295,f203]) ).

fof(f5297,plain,
    ( $false
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[],[f5296,f202]) ).

fof(f5298,plain,
    ( spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f5297]) ).

fof(f5911,plain,
    ( ~ ssList(skaf43(sk5,sk4))
    | ~ spl0_14
    | spl0_73 ),
    inference(resolution,[],[f3165,f475]) ).

fof(f5912,plain,
    ( $false
    | ~ spl0_14
    | spl0_73 ),
    inference(forward_subsumption_resolution,[],[f5911,f52]) ).

fof(f5913,plain,
    ( ~ spl0_14
    | spl0_73 ),
    inference(avatar_contradiction_clause,[],[f5912]) ).

fof(f5965,definition,
    ( spl0_129
  <=> segmentP(sk4,cons(sk5,skaf43(sk5,sk4))) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f5967,plain,
    ( segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f5965]) ).

fof(f5969,definition,
    ( spl0_130
  <=> segmentP(cons(sk5,skaf43(sk5,sk4)),sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f5971,plain,
    ( segmentP(cons(sk5,skaf43(sk5,sk4)),sk3)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f5969]) ).

fof(f8875,plain,
    ( segmentP(cons(sk5,skaf43(sk5,sk4)),sk3)
    | segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
    | ~ spl0_73 ),
    inference(resolution,[],[f3164,f1446]) ).

fof(f8884,plain,
    ( spl0_129
    | spl0_130
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f8875,f3163,f5969,f5965]) ).

fof(f13038,plain,
    sk4 = app(sk4,skaf45(sk4,sk4)),
    inference(resolution,[],[f1324,f203]) ).

fof(f42607,plain,
    ( ! [X0,X1] :
        ( ~ ssList(cons(sk5,skaf43(X0,X1)))
        | ~ ssList(skaf43(X0,X1))
        | ~ segmentP(cons(sk5,skaf43(X0,X1)),sk3) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(superposition,[],[f1986,f2707]) ).

fof(f42632,plain,
    ( ! [X0,X1] :
        ( ~ ssList(skaf43(X0,X1))
        | ~ segmentP(cons(sk5,skaf43(X0,X1)),sk3) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f42607,f475]) ).

fof(f42641,plain,
    ( ! [X0,X1] : ~ segmentP(cons(sk5,skaf43(X0,X1)),sk3)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f42632,f52]) ).

fof(f48734,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_130 ),
    inference(backward_subsumption_resolution,[],[f5971,f42641]) ).

fof(f48736,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_130 ),
    inference(avatar_contradiction_clause,[],[f48734]) ).

fof(f74908,plain,
    ( ~ segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
    | ~ ssList(sk4)
    | ~ ssList(skaf45(sk4,sk4))
    | ~ spl0_76 ),
    inference(superposition,[],[f3178,f13038]) ).

fof(f74910,plain,
    ( ~ ssList(sk4)
    | ~ ssList(skaf45(sk4,sk4))
    | ~ spl0_76
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f74908,f5967]) ).

fof(f74913,plain,
    ( ~ ssList(skaf45(sk4,sk4))
    | ~ spl0_76
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f74910,f203]) ).

fof(f74915,plain,
    ( $false
    | ~ spl0_76
    | ~ spl0_129 ),
    inference(forward_subsumption_resolution,[],[f74913,f51]) ).

fof(f74916,plain,
    ( ~ spl0_76
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f74915]) ).

cnf(s1,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f315]) ).

cnf(s2,plain,
    ( spl0_1
    | spl0_3 ),
    inference(sat_conversion,[],[f320]) ).

cnf(s3,plain,
    ( spl0_1
    | spl0_4 ),
    inference(sat_conversion,[],[f325]) ).

cnf(s5,plain,
    ~ spl0_1,
    inference(sat_conversion,[],[f335]) ).

cnf(s12,plain,
    ( spl0_14
    | spl0_15 ),
    inference(sat_conversion,[],[f374]) ).

cnf(s15,plain,
    spl0_8,
    inference(sat_conversion,[],[f377]) ).

cnf(s82,plain,
    ( spl0_2
    | ~ spl0_4
    | ~ spl0_73
    | spl0_76 ),
    inference(sat_conversion,[],[f3179]) ).

cnf(s144,plain,
    ( spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(sat_conversion,[],[f5298]) ).

cnf(s173,plain,
    ( ~ spl0_14
    | spl0_73 ),
    inference(sat_conversion,[],[f5913]) ).

cnf(s275,plain,
    ( ~ spl0_73
    | spl0_129
    | spl0_130 ),
    inference(sat_conversion,[],[f8884]) ).

cnf(s2173,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f48736]) ).

cnf(s4771,plain,
    ( ~ spl0_76
    | ~ spl0_129 ),
    inference(sat_conversion,[],[f74916]) ).

cnf(s4914,plain,
    spl0_4,
    inference(rat,[],[s3,s5]) ).

cnf(s4915,plain,
    spl0_3,
    inference(rat,[],[s2,s5]) ).

cnf(s4976,plain,
    ~ spl0_2,
    inference(rat,[],[s1,s5]) ).

cnf(s4977,plain,
    ~ spl0_15,
    inference(rat,[],[s144,s4915,s15,s4914,s4976]) ).

cnf(s4978,plain,
    spl0_14,
    inference(rat,[],[s12,s4977]) ).

cnf(s5055,plain,
    spl0_73,
    inference(rat,[],[s173,s4978]) ).

cnf(s5071,plain,
    ~ spl0_130,
    inference(rat,[],[s2173,s4915,s4914,s15,s4978]) ).

cnf(s5148,plain,
    spl0_129,
    inference(rat,[],[s275,s5071,s5055]) ).

cnf(s5154,plain,
    spl0_76,
    inference(rat,[],[s82,s4976,s4914,s5055]) ).

cnf(s5161,plain,
    $false,
    inference(rat,[],[s4771,s5148,s5154]) ).

fof(f74919,plain,
    $false,
    inference(avatar_sat_refutation,[],[s5161]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC363-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n010.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 09:18:10 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  Running first-order model finding
% 0.09/0.23  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.88/2.20  % (1793100)Will run a generic schedule for satisfiability detection.
% 13.88/2.20  % (1793109)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2539191217:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.88/2.20  % (1793106)% WARNING: option uhcvi not known.
% 13.88/2.20  % (1793105)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=842344840_2999 on theBenchmark for (2999ds/0Mi)
% 13.88/2.20  % (1793106)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1269047802:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.88/2.20  % (1793107)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1028702380:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.88/2.20  % (1793108)dis+10_1_sil=32000:sp=arity:random_seed=294718732:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.88/2.20  % (1793110)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1232694662:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.88/2.20  % (1793111)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2915719413:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.88/2.20  % TRYING [1]
% 13.88/2.20  % TRYING [2]
% 13.88/2.20  % TRYING [3]
% 13.88/2.20  % (1793109)Instruction limit reached! 
% 13.88/2.20  % (1793109)------------------------------
% 13.88/2.20  % (1793109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.88/2.20  % (1793109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.88/2.20  % (1793109)CaDiCaL version: 2.1.3
% 13.88/2.20  % (1793109)Termination reason: Instruction limit
% 13.88/2.20  % (1793109)Termination phase: Saturation
% 13.88/2.20  % (1793109)Time elapsed: 0.032 s
% 13.88/2.20  % (1793109)Peak memory usage: 13 MB
% 13.88/2.20  % (1793109)Instructions burned: 117 (million)
% 13.88/2.20  % (1793119)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2415657297:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.88/2.20  % TRYING [4]
% 13.88/2.20  % TRYING [1]
% 13.88/2.20  % TRYING [2]
% 13.88/2.20  % TRYING [3]
% 13.88/2.20  % TRYING [4]
% 13.88/2.20  % (1793108)Instruction limit reached! 
% 13.88/2.20  % (1793108)------------------------------
% 13.88/2.20  % (1793108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.88/2.20  % (1793108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.88/2.20  % (1793108)CaDiCaL version: 2.1.3
% 13.88/2.20  % (1793108)Termination reason: Instruction limit
% 13.88/2.20  % (1793108)Termination phase: Saturation
% 13.88/2.20  % (1793108)Time elapsed: 0.057 s
% 13.88/2.20  % (1793108)Peak memory usage: 13 MB
% 13.88/2.20  % (1793108)Instructions burned: 103 (million)
% 13.88/2.20  % (1793110)Instruction limit reached! 
% 13.88/2.20  % (1793110)------------------------------
% 13.88/2.20  % (1793110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.88/2.20  % (1793110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.88/2.20  % (1793110)CaDiCaL version: 2.1.3
% 13.88/2.20  % (1793110)Termination reason: Instruction limit
% 13.88/2.20  % (1793110)Termination phase: Saturation
% 13.88/2.20  % (1793110)Time elapsed: 0.066 s
% 13.88/2.20  % (1793110)Peak memory usage: 14 MB
% 13.88/2.20  % (1793110)Instructions burned: 132 (million)
% 13.88/2.20  % (1793121)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3618053470:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.88/2.20  % (1793122)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=2801751833:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.88/2.20  % (1793111)Instruction limit reached! 
% 13.88/2.20  % (1793111)------------------------------
% 13.88/2.20  % (1793111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.88/2.20  % (1793111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.88/2.20  % (1793111)CaDiCaL version: 2.1.3
% 13.88/2.20  % (1793111)Termination reason: Instruction limit
% 13.88/2.20  % (1793111)Termination phase: Saturation
% 13.88/2.20  % (1793111)Time elapsed: 0.088 s
% 13.88/2.20  % (1793111)Peak memory usage: 14 MB
% 13.88/2.20  % (1793111)Instructions burned: 159 (million)
% 13.88/2.20  % TRYING [5]
% 13.88/2.20  % TRYING [5]
% 13.88/2.20  % (1793125)ott-21_1_sil=16000:fs=off:random_seed=1175314674:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.88/2.20  % (1793121)Instruction limit reached! 
% 13.88/2.20  % (1793121)------------------------------
% 13.88/2.20  % (1793121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.48/2.37  % (1793121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/2.37  % (1793121)CaDiCaL version: 2.1.3
% 14.48/2.37  % (1793121)Termination reason: Instruction limit
% 14.48/2.37  % (1793121)Termination phase: Saturation
% 14.48/2.37  % (1793121)Time elapsed: 0.071 s
% 14.48/2.37  % (1793121)Peak memory usage: 14 MB
% 14.48/2.37  % (1793121)Instructions burned: 131 (million)
% 14.48/2.37  % (1793127)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2011833515:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 14.48/2.37  % TRYING [6]
% 14.48/2.37  % (1793119)Instruction limit reached! 
% 14.48/2.37  % (1793119)------------------------------
% 14.48/2.37  % (1793119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.48/2.37  % (1793119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/2.37  % (1793119)CaDiCaL version: 2.1.3
% 14.48/2.37  % (1793119)Termination reason: Instruction limit
% 14.48/2.37  % (1793119)Termination phase: Finite model building constraint generation
% 14.48/2.37  % (1793119)Time elapsed: 0.148 s
% 14.48/2.37  % (1793119)Peak memory usage: 36 MB
% 14.48/2.37  % (1793119)Instructions burned: 714 (million)
% 14.48/2.37  % (1793129)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=434171378:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 14.48/2.37  % (1793125)Instruction limit reached! 
% 14.48/2.37  % (1793125)------------------------------
% 14.48/2.37  % (1793125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.48/2.37  % (1793125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/2.37  % (1793125)CaDiCaL version: 2.1.3
% 14.48/2.37  % (1793125)Termination reason: Instruction limit
% 14.48/2.37  % (1793125)Termination phase: Saturation
% 14.48/2.37  % (1793125)Time elapsed: 0.090 s
% 14.48/2.37  % (1793125)Peak memory usage: 13 MB
% 14.48/2.37  % (1793125)Instructions burned: 181 (million)
% 14.48/2.37  % TRYING [1]
% 14.48/2.37  % TRYING [2]
% 14.48/2.37  % TRYING [3]
% 14.48/2.37  % (1793131)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2624466261:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 14.48/2.37  % TRYING [4]
% 14.48/2.37  % TRYING [6]
% 14.48/2.37  % TRYING [5]
% 14.48/2.37  % (1793129)Instruction limit reached! 
% 14.48/2.37  % (1793129)------------------------------
% 14.48/2.37  % (1793129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.48/2.37  % (1793129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/2.37  % (1793129)CaDiCaL version: 2.1.3
% 14.48/2.37  % (1793129)Termination reason: Instruction limit
% 14.48/2.37  % (1793129)Termination phase: Finite model building SAT solving
% 14.48/2.37  % (1793129)Time elapsed: 0.175 s
% 14.48/2.37  % (1793129)Peak memory usage: 22 MB
% 14.48/2.37  % (1793129)Instructions burned: 866 (million)
% 14.48/2.37  % (1793133)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2640231200:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 14.48/2.37  % TRYING [14]
% 14.48/2.37  % (1793122)Instruction limit reached! 
% 14.48/2.37  % (1793122)------------------------------
% 14.48/2.37  % (1793122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.48/2.37  % (1793122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/2.37  % (1793122)CaDiCaL version: 2.1.3
% 14.48/2.37  % (1793122)Termination reason: Instruction limit
% 14.48/2.37  % (1793122)Termination phase: Saturation
% 14.48/2.37  % (1793122)Time elapsed: 0.381 s
% 14.48/2.37  % (1793122)Peak memory usage: 17 MB
% 14.48/2.37  % (1793122)Instructions burned: 685 (million)
% 14.48/2.37  % (1793135)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=1859973550: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)
% 14.48/2.37  % (1793127)Instruction limit reached! 
% 14.48/2.37  % (1793127)------------------------------
% 14.48/2.37  % (1793127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.48/2.37  % (1793127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/2.37  % (1793127)CaDiCaL version: 2.1.3
% 14.48/2.37  % (1793127)Termination reason: Instruction limit
% 14.48/2.37  % (1793127)Termination phase: Saturation
% 14.48/2.37  % (1793127)Time elapsed: 0.329 s
% 14.48/2.37  % (1793127)Peak memory usage: 14 MB
% 14.48/2.37  % (1793127)Instructions burned: 477 (million)
% 14.48/2.37  % (1793137)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4013603263:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 14.48/2.37  % (1793133)Instruction limit reached! 
% 14.48/2.37  % (1793133)------------------------------
% 14.48/2.37  % (1793133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.48/2.37  % (1793133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/2.37  % (1793133)CaDiCaL version: 2.1.3
% 14.48/2.37  % (1793133)Termination reason: Instruction limit
% 14.48/2.37  % (1793133)Termination phase: Finite model building constraint generation
% 14.48/2.37  % (1793133)Time elapsed: 0.178 s
% 14.48/2.37  % (1793133)Peak memory usage: 73 MB
% 14.48/2.37  % (1793133)Instructions burned: 891 (million)
% 14.48/2.37  % (1793139)fmb+10_1_sil=64000:random_seed=444247405:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 14.48/2.37  % TRYING [1]
% 14.48/2.37  % TRYING [2]
% 14.48/2.37  % TRYING [3]
% 14.48/2.37  % TRYING [4]
% 14.48/2.37  % TRYING [5]
% 14.48/2.37  % TRYING [7]
% 14.48/2.37  % (1793135)Instruction limit reached! 
% 14.48/2.37  % (1793135)------------------------------
% 14.48/2.37  % (1793135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.48/2.37  % (1793135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/2.37  % (1793135)CaDiCaL version: 2.1.3
% 14.48/2.37  % (1793135)Termination reason: Instruction limit
% 14.48/2.37  % (1793135)Termination phase: Saturation
% 14.48/2.37  % (1793135)Time elapsed: 0.377 s
% 14.48/2.37  % (1793135)Peak memory usage: 19 MB
% 14.48/2.37  % (1793135)Instructions burned: 693 (million)
% 14.48/2.37  % (1793131)Instruction limit reached! 
% 14.48/2.37  % (1793131)------------------------------
% 14.48/2.37  % (1793131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.48/2.37  % (1793131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/2.37  % (1793131)CaDiCaL version: 2.1.3
% 14.48/2.37  % (1793131)Termination reason: Instruction limit
% 14.48/2.37  % (1793131)Termination phase: Saturation
% 14.48/2.37  % (1793131)Time elapsed: 0.658 s
% 14.48/2.37  % (1793131)Peak memory usage: 27 MB
% 14.48/2.37  % (1793131)Instructions burned: 1180 (million)
% 14.48/2.37  % (1793141)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1026673193:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 14.48/2.37  % (1793142)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1991992876:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 14.48/2.37  % TRYING [20]
% 14.48/2.37  % TRYING [6]
% 14.48/2.37  % TRYING [8]
% 14.48/2.37  % (1793137)Instruction limit reached! 
% 14.48/2.37  % (1793137)------------------------------
% 14.48/2.37  % (1793137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.48/2.37  % (1793137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/2.37  % (1793137)CaDiCaL version: 2.1.3
% 14.48/2.37  % (1793137)Termination reason: Instruction limit
% 14.48/2.37  % (1793137)Termination phase: Saturation
% 14.48/2.37  % (1793137)Time elapsed: 0.451 s
% 14.48/2.37  % (1793137)Peak memory usage: 21 MB
% 14.48/2.37  % (1793137)Instructions burned: 881 (million)
% 14.48/2.37  % (1793145)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3506137776:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 14.48/2.37  % (1793142)Instruction limit reached! 
% 14.48/2.37  % (1793142)------------------------------
% 14.48/2.37  % (1793142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.48/2.37  % (1793142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/2.37  % (1793142)CaDiCaL version: 2.1.3
% 14.48/2.37  % (1793142)Termination reason: Instruction limit
% 14.48/2.37  % (1793142)Termination phase: Finite model building constraint generation
% 14.48/2.37  % (1793142)Time elapsed: 0.333 s
% 14.48/2.37  % (1793142)Peak memory usage: 79 MB
% 14.48/2.37  % (1793142)Instructions burned: 920 (million)
% 14.48/2.37  % (1793147)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=700612970:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 14.48/2.37  % TRYING [7]
% 14.48/2.37  % TRYING [8]
% 14.48/2.37  % (1793147)Instruction limit reached! 
% 14.48/2.37  % (1793147)------------------------------
% 14.48/2.37  % (1793147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.48/2.37  % (1793147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/2.37  % (1793147)CaDiCaL version: 2.1.3
% 14.48/2.37  % (1793147)Termination reason: Instruction limit
% 14.48/2.37  % (1793147)Termination phase: Saturation
% 14.48/2.37  % (1793147)Time elapsed: 0.641 s
% 14.48/2.37  % (1793147)Peak memory usage: 15 MB
% 14.48/2.37  % (1793147)Instructions burned: 1472 (million)
% 14.48/2.37  % (1793149)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2336485234:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 14.48/2.37  % TRYING [77]
% 14.48/2.37  % (1793106) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1793100-1793106"...
% 14.48/2.37  % (1793106)...printing done.
% 14.48/2.37  % (1793106)Refutation found. Thanks to Tanya!
% 14.48/2.37  % SZS status Unsatisfiable for theBenchmark
% 14.48/2.37  % SZS output start Proof for theBenchmark
% See solution above
% 14.48/2.38  % (1793106)------------------------------
% 14.48/2.38  % (1793106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.48/2.38  % (1793106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.48/2.38  % (1793106)CaDiCaL version: 2.1.3
% 14.48/2.38  % (1793106)Termination reason: Refutation
% 14.48/2.38  % (1793106)Time elapsed: 2.064 s
% 14.48/2.38  % (1793106)Peak memory usage: 41 MB
% 14.48/2.38  % (1793106)Instructions burned: 3720 (million)
% 14.48/2.38  % (1793100)Success in time 2.137 s
% 14.48/2.38  % Vampire exiting
%------------------------------------------------------------------------------