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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC345-1 : 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 : n015.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 01:05:38 PM UTC 2026

% Result   : Unsatisfiable 10.32s 2.14s
% Output   : Refutation 10.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  163 (  29 unt;  15 def)
%            Number of atoms       :  468 (  54 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  590 ( 285   ~; 290   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   23 (  21 usr;  16 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :   86 (   0 sgn  86   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause3) ).

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

fof(f12,axiom,
    ! [X0] : ssItem(skaf83(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).

fof(f13,axiom,
    ! [X0] : ssList(skaf82(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).

fof(f50,axiom,
    ! [X0,X1] : ssList(skaf46(X0,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).

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

fof(f59,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | rearsegP(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause59) ).

fof(f66,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | strictorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause66) ).

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

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

fof(f112,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(skaf83(X0),skaf82(X0)) = X0
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).

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(f142,axiom,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(skaf46(X0,X1),X1) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).

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(f184,axiom,
    ! [X2,X3,X0,X1] :
      ( cons(X0,X1) != cons(X2,X3)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | X3 = X1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause171) ).

fof(f185,plain,
    ! [X2,X3,X0,X1] :
      ( cons(X0,X1) != cons(X2,X3)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | X1 = X3 ),
    inference(reorient_equations,[],[f184]) ).

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(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(f207,negated_conjecture,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f212,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f213,plain,
    ( sk3 = cons(sk5,nil)
    | nil = sk3 ),
    inference(reorient_equations,[],[f212]) ).

fof(f214,negated_conjecture,
    ( memberP(sk4,sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f216,negated_conjecture,
    ( ~ segmentP(sk2,sk1)
    | ~ strictorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f219,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ strictorderedP(sk3) ),
    inference(definition_unfolding,[],[f216,f204,f205,f205]) ).

fof(f234,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(f245,plain,
    ~ strictorderedP(nil),
    inference(consistent_polarity_flipping,[],[f3]) ).

fof(f247,plain,
    ! [X0] :
      ( ~ segmentP(X0,nil)
      | ~ ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f250,plain,
    ! [X0] :
      ( ~ rearsegP(X0,X0)
      | ~ ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f255,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ strictorderedP(cons(X0,nil)) ),
    inference(consistent_polarity_flipping,[],[f66]) ).

fof(f285,plain,
    ! [X0,X1] :
      ( rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(skaf46(X0,X1),X1) = X0 ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f300,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(f311,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(f313,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,[],[f234]) ).

fof(f325,plain,
    ( ~ memberP(sk4,sk5)
    | nil = sk3 ),
    inference(consistent_polarity_flipping,[],[f214]) ).

fof(f327,plain,
    ( segmentP(sk4,sk3)
    | strictorderedP(sk3) ),
    inference(consistent_polarity_flipping,[],[f219]) ).

fof(f335,definition,
    ( spl0_1
  <=> strictorderedP(sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f337,plain,
    ( strictorderedP(sk3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f335]) ).

fof(f339,definition,
    ( spl0_2
  <=> segmentP(sk4,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f341,plain,
    ( segmentP(sk4,sk3)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f339]) ).

fof(f342,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f327,f339,f335]) ).

fof(f344,definition,
    ( spl0_3
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f345,plain,
    ( nil != sk3
    | spl0_3 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f346,plain,
    ( nil = sk3
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f352,definition,
    ( spl0_5
  <=> memberP(sk4,sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f354,plain,
    ( ~ memberP(sk4,sk5)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f355,plain,
    ( spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f325,f352,f344]) ).

fof(f357,definition,
    ( spl0_6
  <=> sk3 = cons(sk5,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f359,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f360,plain,
    ( spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f213,f357,f344]) ).

fof(f369,definition,
    ( spl0_8
  <=> ssItem(sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f371,plain,
    ( ssItem(sk5)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f372,plain,
    ( spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f207,f369,f344]) ).

fof(f379,definition,
    ( spl0_10
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f380,plain,
    ( ssList(nil)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f388,definition,
    ( spl0_12
  <=> ! [X1] :
        ( ~ ssItem(X1)
        | ~ strictorderedP(cons(X1,nil)) ) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f389,plain,
    ( ! [X1] :
        ( ~ strictorderedP(cons(X1,nil))
        | ~ ssItem(X1) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f414,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f255,f388]) ).

fof(f415,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f8,f379]) ).

fof(f424,plain,
    ( strictorderedP(nil)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f337,f346]) ).

fof(f428,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[],[f245,f424]) ).

fof(f429,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f428]) ).

fof(f431,plain,
    ( segmentP(sk4,nil)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f341,f346]) ).

fof(f438,plain,
    ( ~ ssList(sk4)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(resolution,[],[f247,f431]) ).

fof(f439,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[],[f438,f203]) ).

fof(f440,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f439]) ).

fof(f487,plain,
    sk4 = app(sk4,nil),
    inference(resolution,[],[f73,f203]) ).

fof(f739,plain,
    ( sk3 = cons(skaf83(sk3),skaf82(sk3))
    | nil = sk3 ),
    inference(resolution,[],[f112,f202]) ).

fof(f742,plain,
    ( sk3 = cons(skaf83(sk3),skaf82(sk3))
    | spl0_3 ),
    inference(forward_subsumption_resolution,[],[f739,f345]) ).

fof(f1037,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(X0)
      | app(skaf46(X0,X0),X0) = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f285,f250]) ).

fof(f1040,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(skaf46(X0,X0),X0) = X0 ),
    inference(duplicate_literal_removal,[],[f1037]) ).

fof(f1262,plain,
    ( ! [X0] :
        ( segmentP(X0,sk3)
        | ~ ssList(sk3)
        | ~ ssList(X0)
        | ~ ssList(sk4)
        | segmentP(sk4,X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f300,f341]) ).

fof(f1266,plain,
    ( ! [X0] :
        ( segmentP(X0,sk3)
        | ~ ssList(X0)
        | ~ ssList(sk4)
        | segmentP(sk4,X0) )
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f1262,f202]) ).

fof(f1267,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | segmentP(X0,sk3)
        | segmentP(sk4,X0) )
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f1266,f203]) ).

fof(f1740,definition,
    ( spl0_36
  <=> nil = skaf82(sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f1742,plain,
    ( nil = skaf82(sk3)
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f1740]) ).

fof(f1818,plain,
    ( sk3 = cons(skaf83(sk3),nil)
    | spl0_3
    | ~ spl0_36 ),
    inference(superposition,[],[f742,f1742]) ).

fof(f2119,plain,
    ( ~ strictorderedP(sk3)
    | ~ ssItem(skaf83(sk3))
    | spl0_3
    | ~ spl0_12
    | ~ spl0_36 ),
    inference(superposition,[],[f389,f1818]) ).

fof(f2147,plain,
    ( ! [X0] :
        ( ssList(cons(sk5,X0))
        | ~ ssList(X0) )
    | ~ spl0_8 ),
    inference(resolution,[],[f86,f371]) ).

fof(f2310,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | cons(sk5,X0) = app(cons(sk5,nil),X0) )
    | ~ spl0_8 ),
    inference(resolution,[],[f126,f371]) ).

fof(f2311,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(sk3,X0) = cons(sk5,X0) )
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f2310,f359]) ).

fof(f2698,plain,
    ( ! [X0,X1] :
        ( cons(X0,X1) != sk3
        | ~ ssItem(sk5)
        | ~ ssItem(X0)
        | ~ ssList(nil)
        | ~ ssList(X1)
        | nil = X1 )
    | ~ spl0_6 ),
    inference(superposition,[],[f185,f359]) ).

fof(f2709,plain,
    ( ! [X0,X1] :
        ( cons(X0,X1) != sk3
        | ~ ssItem(X0)
        | ~ ssList(nil)
        | ~ ssList(X1)
        | nil = X1 )
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f2698,f371]) ).

fof(f2725,plain,
    ( ! [X0,X1] :
        ( cons(X0,X1) != sk3
        | ~ ssItem(X0)
        | ~ ssList(X1)
        | nil = X1 )
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f2709,f380]) ).

fof(f2764,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(sk4)
    | sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | spl0_5 ),
    inference(resolution,[],[f311,f354]) ).

fof(f2771,plain,
    ( ~ ssList(sk4)
    | sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | spl0_5
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f2764,f371]) ).

fof(f2781,plain,
    ( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
    | spl0_5
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f2771,f203]) ).

fof(f3792,plain,
    ( ! [X0,X1] : cons(sk5,skaf43(X0,X1)) = app(sk3,skaf43(X0,X1))
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(resolution,[],[f2311,f52]) ).

fof(f4393,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_5
    | ~ spl0_8 ),
    inference(superposition,[],[f313,f2781]) ).

fof(f4398,plain,
    ( ! [X0] :
        ( ~ ssList(app(sk4,X0))
        | ~ ssList(cons(sk5,skaf43(sk5,sk4)))
        | ~ ssList(X0)
        | ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4))) )
    | spl0_5
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f4393,f53]) ).

fof(f4413,definition,
    ( spl0_127
  <=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f4414,plain,
    ( ssList(cons(sk5,skaf43(sk5,sk4)))
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f4413]) ).

fof(f4415,plain,
    ( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
    | spl0_127 ),
    inference(avatar_component_clause,[],[f4413]) ).

fof(f4427,definition,
    ( spl0_130
  <=> ! [X0] :
        ( ~ ssList(app(sk4,X0))
        | ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4)))
        | ~ ssList(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f4428,plain,
    ( ! [X0] :
        ( ~ segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4)))
        | ~ ssList(app(sk4,X0))
        | ~ ssList(X0) )
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f4427]) ).

fof(f4429,plain,
    ( ~ spl0_127
    | spl0_130
    | spl0_5
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f4398,f369,f352,f4427,f4413]) ).

fof(f4551,plain,
    ( sk3 != sk3
    | ~ ssItem(skaf83(sk3))
    | ~ ssList(skaf82(sk3))
    | nil = skaf82(sk3)
    | spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f2725,f742]) ).

fof(f4552,plain,
    ( ~ ssItem(skaf83(sk3))
    | ~ ssList(skaf82(sk3))
    | nil = skaf82(sk3)
    | spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f4551]) ).

fof(f4912,definition,
    ( spl0_146
  <=> ssList(sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f4913,plain,
    ( ssList(sk3)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f4912]) ).

fof(f5114,plain,
    spl0_146,
    inference(avatar_split_clause,[],[f202,f4912]) ).

fof(f5338,plain,
    ( ~ ssList(skaf82(sk3))
    | nil = skaf82(sk3)
    | spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f4552,f12]) ).

fof(f5392,definition,
    ( spl0_206
  <=> ssList(skaf82(sk3)) ),
    introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).

fof(f5394,plain,
    ( ~ ssList(skaf82(sk3))
    | spl0_206 ),
    inference(avatar_component_clause,[],[f5392]) ).

fof(f5402,plain,
    ( spl0_36
    | ~ spl0_206
    | spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f5338,f379,f369,f357,f344,f5392,f1740]) ).

fof(f6638,plain,
    ( $false
    | spl0_206 ),
    inference(forward_subsumption_resolution,[],[f5394,f13]) ).

fof(f6639,plain,
    spl0_206,
    inference(avatar_contradiction_clause,[],[f6638]) ).

fof(f10451,plain,
    ( ~ ssList(skaf43(sk5,sk4))
    | ~ spl0_8
    | spl0_127 ),
    inference(resolution,[],[f4415,f2147]) ).

fof(f10455,plain,
    ( $false
    | ~ spl0_8
    | spl0_127 ),
    inference(forward_subsumption_resolution,[],[f10451,f52]) ).

fof(f10456,plain,
    ( ~ spl0_8
    | spl0_127 ),
    inference(avatar_contradiction_clause,[],[f10455]) ).

fof(f10500,plain,
    ( segmentP(cons(sk5,skaf43(sk5,sk4)),sk3)
    | segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
    | ~ spl0_2
    | ~ spl0_127 ),
    inference(resolution,[],[f4414,f1267]) ).

fof(f10514,definition,
    ( spl0_265
  <=> segmentP(sk4,cons(sk5,skaf43(sk5,sk4))) ),
    introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).

fof(f10518,definition,
    ( spl0_266
  <=> segmentP(cons(sk5,skaf43(sk5,sk4)),sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).

fof(f10520,plain,
    ( segmentP(cons(sk5,skaf43(sk5,sk4)),sk3)
    | ~ spl0_266 ),
    inference(avatar_component_clause,[],[f10518]) ).

fof(f10521,plain,
    ( spl0_265
    | spl0_266
    | ~ spl0_2
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f10500,f4413,f339,f10518,f10514]) ).

fof(f12226,plain,
    ( sk3 = app(skaf46(sk3,sk3),sk3)
    | ~ spl0_146 ),
    inference(resolution,[],[f1040,f4913]) ).

fof(f22475,plain,
    ( ! [X0] :
        ( ~ ssList(app(sk3,X0))
        | ~ ssList(skaf46(sk3,sk3))
        | ~ ssList(sk3)
        | ~ ssList(X0)
        | ~ segmentP(app(sk3,X0),sk3) )
    | ~ spl0_146 ),
    inference(superposition,[],[f313,f12226]) ).

fof(f22482,plain,
    ( ! [X0] :
        ( ~ ssList(skaf46(sk3,sk3))
        | ~ ssList(sk3)
        | ~ ssList(X0)
        | ~ segmentP(app(sk3,X0),sk3) )
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f22475,f85]) ).

fof(f22495,plain,
    ( ! [X0] :
        ( ~ ssList(sk3)
        | ~ ssList(X0)
        | ~ segmentP(app(sk3,X0),sk3) )
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f22482,f50]) ).

fof(f22502,plain,
    ( ! [X0] :
        ( ~ segmentP(app(sk3,X0),sk3)
        | ~ ssList(X0) )
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f22495,f4913]) ).

fof(f41992,plain,
    ( ! [X0,X1] :
        ( ~ segmentP(cons(sk5,skaf43(X0,X1)),sk3)
        | ~ ssList(skaf43(X0,X1)) )
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_146 ),
    inference(superposition,[],[f22502,f3792]) ).

fof(f42018,plain,
    ( ! [X0,X1] : ~ segmentP(cons(sk5,skaf43(X0,X1)),sk3)
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_146 ),
    inference(forward_subsumption_resolution,[],[f41992,f52]) ).

fof(f48244,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_146
    | ~ spl0_266 ),
    inference(backward_subsumption_resolution,[],[f10520,f42018]) ).

fof(f48248,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_146
    | ~ spl0_266 ),
    inference(avatar_contradiction_clause,[],[f48244]) ).

fof(f68150,plain,
    ( ~ segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
    | ~ ssList(sk4)
    | ~ ssList(nil)
    | ~ spl0_130 ),
    inference(superposition,[],[f4428,f487]) ).

fof(f68169,plain,
    ( ~ segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
    | ~ ssList(nil)
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f68150,f203]) ).

fof(f68186,plain,
    ( ~ strictorderedP(sk3)
    | spl0_3
    | ~ spl0_12
    | ~ spl0_36 ),
    inference(forward_subsumption_resolution,[],[f2119,f12]) ).

fof(f68194,plain,
    ( ~ segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
    | ~ spl0_10
    | ~ spl0_130 ),
    inference(forward_subsumption_resolution,[],[f68169,f380]) ).

fof(f68212,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_12
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f68186,f1740,f388,f344,f335]) ).

fof(f68217,plain,
    ( ~ spl0_265
    | ~ spl0_10
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f68194,f4427,f379,f10514]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f342]) ).

cnf(s3,plain,
    ( spl0_3
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s4,plain,
    ( spl0_3
    | spl0_6 ),
    inference(sat_conversion,[],[f360]) ).

cnf(s8,plain,
    ( spl0_3
    | spl0_8 ),
    inference(sat_conversion,[],[f372]) ).

cnf(s18,plain,
    spl0_12,
    inference(sat_conversion,[],[f414]) ).

cnf(s19,plain,
    spl0_10,
    inference(sat_conversion,[],[f415]) ).

cnf(s24,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f429]) ).

cnf(s25,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f440]) ).

cnf(s142,plain,
    ( spl0_5
    | ~ spl0_8
    | ~ spl0_127
    | spl0_130 ),
    inference(sat_conversion,[],[f4429]) ).

cnf(s306,plain,
    spl0_146,
    inference(sat_conversion,[],[f5114]) ).

cnf(s459,plain,
    ( spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | spl0_36
    | ~ spl0_206 ),
    inference(sat_conversion,[],[f5402]) ).

cnf(s547,plain,
    spl0_206,
    inference(sat_conversion,[],[f6639]) ).

cnf(s821,plain,
    ( ~ spl0_8
    | spl0_127 ),
    inference(sat_conversion,[],[f10456]) ).

cnf(s824,plain,
    ( ~ spl0_2
    | ~ spl0_127
    | spl0_265
    | spl0_266 ),
    inference(sat_conversion,[],[f10521]) ).

cnf(s2390,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_146
    | ~ spl0_266 ),
    inference(sat_conversion,[],[f48248]) ).

cnf(s2813,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_12
    | ~ spl0_36 ),
    inference(sat_conversion,[],[f68212]) ).

cnf(s2816,plain,
    ( ~ spl0_10
    | ~ spl0_130
    | ~ spl0_265 ),
    inference(sat_conversion,[],[f68217]) ).

cnf(s2852,plain,
    ( spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | spl0_36 ),
    inference(rat,[],[s459,s547]) ).

cnf(s2886,plain,
    ~ spl0_2,
    inference(rat,[],[s2816,s824,s142,s2390,s821,s3,s4,s8,s25,s19,s306]) ).

cnf(s2889,plain,
    spl0_1,
    inference(rat,[],[s1,s2886]) ).

cnf(s2890,plain,
    ~ spl0_3,
    inference(rat,[],[s24,s2889]) ).

cnf(s2891,plain,
    ~ spl0_36,
    inference(rat,[],[s2813,s2889,s18,s2890]) ).

cnf(s2898,plain,
    spl0_8,
    inference(rat,[],[s8,s2890]) ).

cnf(s2899,plain,
    spl0_6,
    inference(rat,[],[s4,s2890]) ).

cnf(s2902,plain,
    $false,
    inference(rat,[],[s2852,s2898,s19,s2890,s2891,s2899]) ).

fof(f68229,plain,
    $false,
    inference(avatar_sat_refutation,[],[s2902]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC345-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20  % Computer : n015.cluster.edu
% 0.10/0.20  % Model    : x86_64 x86_64
% 0.10/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20  % Memory   : 8046.5625MB
% 0.10/0.20  % OS       : Linux 6.8.0-71-generic
% 0.10/0.20  % CPULimit : 300
% 0.10/0.20  % WCLimit  : 300
% 0.10/0.20  % DateTime : Mon Sep 28 09:15:01 UTC 2026
% 0.10/0.20  % CPUTime  : 
% 0.10/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23  Running first-order model finding
% 0.10/0.24  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
% 10.32/2.14  % (2491113)Will run a generic schedule for satisfiability detection.
% 10.32/2.14  % (2491123)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3817735900_2999 on theBenchmark for (2999ds/0Mi)
% 10.32/2.14  % (2491124)% WARNING: option uhcvi not known.
% 10.32/2.14  % TRYING [1]
% 10.32/2.14  % TRYING [2]
% 10.32/2.14  % (2491127)dis+10_1_sil=32000:sp=arity:random_seed=2182770897:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 10.32/2.14  % (2491125)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=393179253:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 10.32/2.14  % (2491124)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3945066973:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 10.32/2.14  % (2491129)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=717047676:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 10.32/2.14  % TRYING [3]
% 10.32/2.14  % (2491128)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2213893236:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 10.32/2.14  % (2491130)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2527667779:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 10.32/2.14  % TRYING [4]
% 10.32/2.14  % TRYING [5]
% 10.32/2.14  % (2491127)Instruction limit reached! 
% 10.32/2.14  % (2491127)------------------------------
% 10.32/2.14  % (2491127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.32/2.14  % (2491127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.14  % (2491127)CaDiCaL version: 2.1.3
% 10.32/2.14  % (2491127)Termination reason: Instruction limit
% 10.32/2.14  % (2491127)Termination phase: Saturation
% 10.32/2.14  % (2491127)Time elapsed: 0.059 s
% 10.32/2.14  % (2491127)Peak memory usage: 13 MB
% 10.32/2.14  % (2491127)Instructions burned: 104 (million)
% 10.32/2.14  % (2491129)Instruction limit reached! 
% 10.32/2.14  % (2491129)------------------------------
% 10.32/2.14  % (2491129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.32/2.14  % (2491129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.14  % (2491129)CaDiCaL version: 2.1.3
% 10.32/2.14  % (2491129)Termination reason: Instruction limit
% 10.32/2.14  % (2491129)Termination phase: Saturation
% 10.32/2.14  % (2491129)Time elapsed: 0.067 s
% 10.32/2.14  % (2491129)Peak memory usage: 14 MB
% 10.32/2.14  % (2491129)Instructions burned: 131 (million)
% 10.32/2.14  % (2491128)Instruction limit reached! 
% 10.32/2.14  % (2491128)------------------------------
% 10.32/2.14  % (2491128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.32/2.14  % (2491128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.14  % (2491128)CaDiCaL version: 2.1.3
% 10.32/2.14  % (2491128)Termination reason: Instruction limit
% 10.32/2.14  % (2491128)Termination phase: Saturation
% 10.32/2.14  % (2491128)Time elapsed: 0.062 s
% 10.32/2.14  % (2491128)Peak memory usage: 13 MB
% 10.32/2.14  % (2491128)Instructions burned: 117 (million)
% 10.32/2.14  % (2491154)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1902417022:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 10.32/2.14  % TRYING [1]
% 10.32/2.14  % (2491155)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=555573308:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 10.32/2.14  % TRYING [2]
% 10.32/2.14  % (2491156)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=3631935067:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 10.32/2.14  % TRYING [3]
% 10.32/2.14  % (2491130)Instruction limit reached! 
% 10.32/2.14  % (2491130)------------------------------
% 10.32/2.14  % (2491130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.32/2.14  % (2491130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.14  % (2491130)CaDiCaL version: 2.1.3
% 10.32/2.14  % (2491130)Termination reason: Instruction limit
% 10.32/2.14  % (2491130)Termination phase: Saturation
% 10.32/2.14  % (2491130)Time elapsed: 0.107 s
% 10.32/2.14  % (2491130)Peak memory usage: 14 MB
% 10.32/2.14  % (2491130)Instructions burned: 159 (million)
% 10.32/2.14  % TRYING [4]
% 10.32/2.14  % TRYING [6]
% 10.32/2.14  % (2491176)ott-21_1_sil=16000:fs=off:random_seed=864145999:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 10.32/2.14  % (2491155)Instruction limit reached! 
% 10.32/2.14  % (2491155)------------------------------
% 10.32/2.14  % (2491155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.32/2.14  % (2491155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.14  % (2491155)CaDiCaL version: 2.1.3
% 10.32/2.14  % (2491155)Termination reason: Instruction limit
% 10.32/2.14  % (2491155)Termination phase: Saturation
% 10.32/2.14  % (2491155)Time elapsed: 0.094 s
% 10.32/2.14  % (2491155)Peak memory usage: 13 MB
% 10.32/2.14  % (2491155)Instructions burned: 132 (million)
% 10.32/2.14  % (2491186)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4015017876:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 10.32/2.14  % TRYING [5]
% 10.32/2.14  % (2491176)Instruction limit reached! 
% 10.32/2.14  % (2491176)------------------------------
% 10.32/2.14  % (2491176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.32/2.14  % (2491176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.14  % (2491176)CaDiCaL version: 2.1.3
% 10.32/2.14  % (2491176)Termination reason: Instruction limit
% 10.32/2.14  % (2491176)Termination phase: Saturation
% 10.32/2.14  % (2491176)Time elapsed: 0.096 s
% 10.32/2.14  % (2491176)Peak memory usage: 13 MB
% 10.32/2.14  % (2491176)Instructions burned: 182 (million)
% 10.32/2.14  % (2491188)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2506675793:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 10.32/2.14  % TRYING [1]
% 10.32/2.14  % TRYING [2]
% 10.32/2.14  % TRYING [3]
% 10.32/2.14  % TRYING [4]
% 10.32/2.14  % TRYING [6]
% 10.32/2.14  % (2491154)Instruction limit reached! 
% 10.32/2.14  % (2491154)------------------------------
% 10.32/2.14  % (2491154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.32/2.14  % (2491154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.14  % (2491154)CaDiCaL version: 2.1.3
% 10.32/2.14  % (2491154)Termination reason: Instruction limit
% 10.32/2.14  % (2491154)Termination phase: Finite model building constraint generation
% 10.32/2.14  % (2491154)Time elapsed: 0.308 s
% 10.32/2.14  % (2491154)Peak memory usage: 36 MB
% 10.32/2.14  % (2491154)Instructions burned: 717 (million)
% 10.32/2.14  % TRYING [7]
% 10.32/2.14  % (2491216)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=114134522:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 10.32/2.14  % TRYING [5]
% 10.32/2.14  % (2491156)Instruction limit reached! 
% 10.32/2.14  % (2491156)------------------------------
% 10.32/2.14  % (2491156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.32/2.14  % (2491156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.14  % (2491156)CaDiCaL version: 2.1.3
% 10.32/2.14  % (2491156)Termination reason: Instruction limit
% 10.32/2.14  % (2491156)Termination phase: Saturation
% 10.32/2.14  % (2491156)Time elapsed: 0.410 s
% 10.32/2.14  % (2491156)Peak memory usage: 17 MB
% 10.32/2.14  % (2491156)Instructions burned: 685 (million)
% 10.32/2.14  % (2491186)Instruction limit reached! 
% 10.32/2.14  % (2491186)------------------------------
% 10.32/2.14  % (2491186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.32/2.14  % (2491186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.14  % (2491186)CaDiCaL version: 2.1.3
% 10.32/2.14  % (2491186)Termination reason: Instruction limit
% 10.32/2.14  % (2491186)Termination phase: Saturation
% 10.32/2.14  % (2491186)Time elapsed: 0.306 s
% 10.32/2.14  % (2491186)Peak memory usage: 14 MB
% 10.32/2.14  % (2491186)Instructions burned: 478 (million)
% 10.32/2.14  % (2491245)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3669376067:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 10.32/2.14  % (2491247)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=3185833261: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)
% 10.32/2.14  % (2491188)Instruction limit reached! 
% 10.32/2.14  % (2491188)------------------------------
% 10.32/2.14  % (2491188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.32/2.14  % (2491188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.14  % (2491188)CaDiCaL version: 2.1.3
% 10.32/2.14  % (2491188)Termination reason: Instruction limit
% 10.32/2.14  % (2491188)Termination phase: Finite model building SAT solving
% 10.32/2.14  % (2491188)Time elapsed: 0.339 s
% 10.32/2.14  % (2491188)Peak memory usage: 22 MB
% 10.32/2.14  % (2491188)Instructions burned: 865 (million)
% 10.32/2.14  % TRYING [14]
% 10.32/2.14  % (2491272)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2928373724:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 10.32/2.14  % (2491245)Instruction limit reached! 
% 10.32/2.14  % (2491245)------------------------------
% 10.32/2.14  % (2491245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.32/2.14  % (2491245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.14  % (2491245)CaDiCaL version: 2.1.3
% 10.32/2.14  % (2491245)Termination reason: Instruction limit
% 10.32/2.14  % (2491245)Termination phase: Finite model building constraint generation
% 10.32/2.14  % (2491245)Time elapsed: 0.325 s
% 10.32/2.14  % (2491245)Peak memory usage: 73 MB
% 10.32/2.14  % (2491245)Instructions burned: 891 (million)
% 10.32/2.14  % (2491303)fmb+10_1_sil=64000:random_seed=4289971081:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 10.32/2.14  % TRYING [1]
% 10.32/2.14  % TRYING [2]
% 10.32/2.14  % TRYING [3]
% 10.32/2.14  % (2491247)Instruction limit reached! 
% 10.32/2.14  % (2491247)------------------------------
% 10.32/2.14  % (2491247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.32/2.14  % (2491247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.14  % (2491247)CaDiCaL version: 2.1.3
% 10.32/2.14  % (2491247)Termination reason: Instruction limit
% 10.32/2.14  % (2491247)Termination phase: Saturation
% 10.32/2.14  % (2491247)Time elapsed: 0.392 s
% 10.32/2.14  % (2491247)Peak memory usage: 20 MB
% 10.32/2.14  % (2491247)Instructions burned: 692 (million)
% 10.32/2.14  % TRYING [8]
% 10.32/2.14  % (2491305)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2961802012:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 10.32/2.14  % TRYING [20]
% 10.32/2.14  % TRYING [4]
% 10.32/2.14  % (2491216)Instruction limit reached! 
% 10.32/2.14  % (2491216)------------------------------
% 10.32/2.14  % (2491216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.32/2.14  % (2491216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.14  % (2491216)CaDiCaL version: 2.1.3
% 10.32/2.14  % (2491216)Termination reason: Instruction limit
% 10.32/2.14  % (2491216)Termination phase: Saturation
% 10.32/2.14  % (2491216)Time elapsed: 0.681 s
% 10.32/2.14  % (2491216)Peak memory usage: 29 MB
% 10.32/2.14  % (2491216)Instructions burned: 1180 (million)
% 10.32/2.14  % (2491272)Instruction limit reached! 
% 10.32/2.14  % (2491272)------------------------------
% 10.32/2.14  % (2491272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.32/2.14  % (2491272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.14  % (2491272)CaDiCaL version: 2.1.3
% 10.32/2.14  % (2491272)Termination reason: Instruction limit
% 10.32/2.14  % (2491272)Termination phase: Saturation
% 10.32/2.14  % (2491272)Time elapsed: 0.470 s
% 10.32/2.14  % (2491272)Peak memory usage: 20 MB
% 10.32/2.14  % (2491272)Instructions burned: 879 (million)
% 10.32/2.14  % TRYING [5]
% 10.32/2.14  % (2491327)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3087930330:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 10.32/2.14  % (2491330)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4121907713:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 10.32/2.14  % TRYING [8]
% 10.32/2.14  % (2491327)Instruction limit reached! 
% 10.32/2.14  % (2491327)------------------------------
% 10.32/2.14  % (2491327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.32/2.14  % (2491327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.14  % (2491327)CaDiCaL version: 2.1.3
% 10.32/2.14  % (2491327)Termination reason: Instruction limit
% 10.32/2.14  % (2491327)Termination phase: Finite model building constraint generation
% 10.32/2.14  % (2491327)Time elapsed: 0.335 s
% 10.32/2.14  % (2491327)Peak memory usage: 79 MB
% 10.32/2.14  % (2491327)Instructions burned: 922 (million)
% 10.32/2.14  % (2491358)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3081947849:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 10.32/2.14  % TRYING [6]
% 10.32/2.14  % TRYING [9]
% 10.32/2.14  % (2491124) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2491113-2491124"...
% 10.32/2.14  % (2491124)...printing done.
% 10.32/2.14  % (2491124)Refutation found. Thanks to Tanya!
% 10.32/2.14  % SZS status Unsatisfiable for theBenchmark
% 10.32/2.14  % SZS output start Proof for theBenchmark
% See solution above
% 10.32/2.14  % (2491124)------------------------------
% 10.32/2.14  % (2491124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.32/2.14  % (2491124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.32/2.14  % (2491124)CaDiCaL version: 2.1.3
% 10.32/2.14  % (2491124)Termination reason: Refutation
% 10.32/2.14  % (2491124)Time elapsed: 1.820 s
% 10.32/2.14  % (2491124)Peak memory usage: 44 MB
% 10.32/2.14  % (2491124)Instructions burned: 3188 (million)
% 10.32/2.14  % (2491113)Success in time 1.894 s
% 10.32/2.14  % Vampire exiting
%------------------------------------------------------------------------------