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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC388-1 : 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 : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:05:50 PM UTC 2026

% Result   : Unsatisfiable 38.68s 6.62s
% Output   : Refutation 38.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   56
% Syntax   : Number of formulae    :  229 (  28 unt;  21 def)
%            Number of atoms       :  704 (  90 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  904 ( 429   ~; 454   |;   0   &)
%                                         (  21 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   30 (  28 usr;  22 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   5 con; 0-2 aty)
%            Number of variables   :  121 (   0 sgn 121   !;   0   ?)

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

fof(f11,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause11) ).

fof(f12,axiom,
    ! [X0] : ssItem(skaf83(X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause12) ).

fof(f13,axiom,
    ! [X0] : ssList(skaf82(X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).

fof(f48,axiom,
    ! [X0,X1] : ssList(skaf48(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause48) ).

fof(f49,axiom,
    ! [X0,X1] : ssList(skaf47(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause49) ).

fof(f72,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | duplicatefreeP(X0)
      | ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).

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(f79,axiom,
    ! [X0] :
      ( nil != X0
      | ~ ssList(X0)
      | segmentP(nil,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause79) ).

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(f96,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssItem(X0)
      | tl(cons(X0,X1)) = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).

fof(f97,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssItem(X0)
      | hd(cons(X0,X1)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause97) ).

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

fof(f103,axiom,
    ! [X0] :
      ( ~ singletonP(X0)
      | ~ ssList(X0)
      | cons(skaf44(X0),nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause101) ).

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(f112,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | cons(skaf83(X0),skaf82(X0)) = X0
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).

fof(f119,axiom,
    ! [X0,X1] :
      ( cons(X0,nil) != X1
      | ~ ssItem(X0)
      | ~ ssList(X1)
      | singletonP(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause116) ).

fof(f134,axiom,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ segmentP(X1,X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | X1 = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause127) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ~ segmentP(X1,X0)
      | ~ segmentP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | X0 = X1 ),
    inference(reorient_equations,[],[f134]) ).

fof(f151,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ memberP(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause140) ).

fof(f156,axiom,
    ! [X0,X1] :
      ( nil != X0
      | nil != X1
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X0,X1) = nil ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause145) ).

fof(f157,plain,
    ! [X0,X1] :
      ( nil != X0
      | nil != X1
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = app(X0,X1) ),
    inference(reorient_equations,[],[f156]) ).

fof(f181,axiom,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause168) ).

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

fof(f189,axiom,
    ! [X2,X3,X0,X1] :
      ( app(X0,cons(X1,X2)) != X3
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(X3)
      | memberP(X3,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause175) ).

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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause179) ).

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,
    segmentP(sk4,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f207,negated_conjecture,
    ! [X0] :
      ( ~ ssItem(X0)
      | cons(X0,nil) != sk1
      | ~ memberP(sk2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f208,negated_conjecture,
    ( singletonP(sk3)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f209,negated_conjecture,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f212,plain,
    ! [X0] :
      ( ~ memberP(sk4,X0)
      | cons(X0,nil) != sk3
      | ~ ssItem(X0) ),
    inference(definition_unfolding,[],[f207,f205,f204]) ).

fof(f213,plain,
    ( nil != sk4
    | nil != sk3 ),
    inference(definition_unfolding,[],[f209,f204,f205]) ).

fof(f214,plain,
    ( ~ ssList(nil)
    | segmentP(nil,nil) ),
    inference(equality_resolution,[],[f79]) ).

fof(f221,plain,
    ! [X0] :
      ( singletonP(cons(X0,nil))
      | ~ ssList(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(equality_resolution,[],[f119]) ).

fof(f226,plain,
    ! [X1] :
      ( nil != X1
      | ~ ssList(X1)
      | ~ ssList(nil)
      | nil = app(nil,X1) ),
    inference(equality_resolution,[],[f157]) ).

fof(f227,plain,
    ( ~ ssList(nil)
    | ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(equality_resolution,[],[f226]) ).

fof(f229,plain,
    ! [X2,X0,X1] :
      ( memberP(app(X0,cons(X1,X2)),X1)
      | ~ ssList(X0)
      | ~ ssItem(X1)
      | ~ ssList(app(X0,cons(X1,X2)))
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f189]) ).

fof(f231,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(f239,plain,
    ( ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(duplicate_literal_removal,[],[f227]) ).

fof(f245,definition,
    ( spl0_1
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f246,plain,
    ( nil = sk3
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f247,plain,
    ( nil != sk3
    | spl0_1 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f249,definition,
    ( spl0_2
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f250,plain,
    ( nil = sk4
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f252,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f213,f249,f245]) ).

fof(f254,definition,
    ( spl0_3
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f256,plain,
    ( ~ neq(sk4,nil)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f258,definition,
    ( spl0_4
  <=> singletonP(sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f260,plain,
    ( singletonP(sk3)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f261,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f208,f258,f254]) ).

fof(f263,definition,
    ( spl0_5
  <=> nil = app(nil,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f265,plain,
    ( nil = app(nil,nil)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f267,definition,
    ( spl0_6
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f268,plain,
    ( ssList(nil)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f270,plain,
    ( spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f239,f267,f263]) ).

fof(f290,definition,
    ( spl0_11
  <=> segmentP(nil,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f292,plain,
    ( segmentP(nil,nil)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f293,plain,
    ( spl0_11
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f214,f267,f290]) ).

fof(f295,definition,
    ( spl0_12
  <=> ! [X1] : ssItem(X1) ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f296,plain,
    ( ! [X1] : ssItem(X1)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f298,definition,
    ( spl0_13
  <=> ! [X0] :
        ( ~ ssList(X0)
        | duplicatefreeP(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f299,plain,
    ( ! [X0] :
        ( duplicatefreeP(X0)
        | ~ ssList(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f300,plain,
    ( spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f72,f298,f295]) ).

fof(f303,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f8,f267]) ).

fof(f305,plain,
    ( singletonP(nil)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f260,f246]) ).

fof(f309,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f11,f305]) ).

fof(f310,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f309]) ).

fof(f383,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f74,f202]) ).

fof(f571,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | nil = sk4
    | spl0_3 ),
    inference(resolution,[],[f102,f256]) ).

fof(f574,plain,
    ( ~ ssList(nil)
    | nil = sk4
    | spl0_3 ),
    inference(forward_subsumption_resolution,[],[f571,f203]) ).

fof(f575,plain,
    ( nil = sk4
    | spl0_3
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f574,f268]) ).

fof(f593,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | nil = tl(cons(X0,nil)) )
    | ~ spl0_6 ),
    inference(resolution,[],[f96,f268]) ).

fof(f674,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,tl(X1))) = X0
      | ~ ssList(X1)
      | nil = X1 ),
    inference(resolution,[],[f97,f75]) ).

fof(f678,plain,
    ( ~ ssList(sk3)
    | sk3 = cons(skaf44(sk3),nil)
    | ~ spl0_4 ),
    inference(resolution,[],[f103,f260]) ).

fof(f679,plain,
    ( sk3 = cons(skaf44(sk3),nil)
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f678,f202]) ).

fof(f747,plain,
    ( sk3 = cons(hd(sk3),tl(sk3))
    | nil = sk3 ),
    inference(resolution,[],[f107,f202]) ).

fof(f750,plain,
    ( sk3 = cons(hd(sk3),tl(sk3))
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f747,f247]) ).

fof(f805,plain,
    ( sk3 = cons(skaf83(sk3),skaf82(sk3))
    | nil = sk3 ),
    inference(resolution,[],[f112,f202]) ).

fof(f808,plain,
    ( sk3 = cons(skaf83(sk3),skaf82(sk3))
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f805,f247]) ).

fof(f949,plain,
    ( ~ segmentP(sk3,sk4)
    | ~ ssList(sk3)
    | ~ ssList(sk4)
    | sk3 = sk4 ),
    inference(resolution,[],[f135,f206]) ).

fof(f956,plain,
    ( ~ segmentP(sk3,sk4)
    | ~ ssList(sk4)
    | sk3 = sk4 ),
    inference(forward_subsumption_resolution,[],[f949,f202]) ).

fof(f957,plain,
    ( ~ segmentP(sk3,sk4)
    | sk3 = sk4 ),
    inference(forward_subsumption_resolution,[],[f956,f203]) ).

fof(f959,definition,
    ( spl0_25
  <=> sk3 = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f961,plain,
    ( sk3 = sk4
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f959]) ).

fof(f963,definition,
    ( spl0_26
  <=> segmentP(sk3,sk4) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f965,plain,
    ( ~ segmentP(sk3,sk4)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f963]) ).

fof(f966,plain,
    ( spl0_25
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f957,f963,f959]) ).

fof(f1029,definition,
    ( spl0_27
  <=> ssList(tl(sk3)) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f1030,plain,
    ( ssList(tl(sk3))
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f1029]) ).

fof(f1031,plain,
    ( ~ ssList(tl(sk3))
    | spl0_27 ),
    inference(avatar_component_clause,[],[f1029]) ).

fof(f1033,definition,
    ( spl0_28
  <=> ssItem(hd(sk3)) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f1034,plain,
    ( ssItem(hd(sk3))
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f1035,plain,
    ( ~ ssItem(hd(sk3))
    | spl0_28 ),
    inference(avatar_component_clause,[],[f1033]) ).

fof(f1049,definition,
    ( spl0_31
  <=> nil = tl(sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f1051,plain,
    ( nil = tl(sk3)
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f1049]) ).

fof(f1063,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | spl0_27 ),
    inference(resolution,[],[f1031,f75]) ).

fof(f1064,plain,
    ( nil = sk3
    | spl0_27 ),
    inference(forward_subsumption_resolution,[],[f1063,f202]) ).

fof(f1065,plain,
    ( $false
    | spl0_1
    | spl0_27 ),
    inference(forward_subsumption_resolution,[],[f1064,f247]) ).

fof(f1066,plain,
    ( spl0_1
    | spl0_27 ),
    inference(avatar_contradiction_clause,[],[f1065]) ).

fof(f1159,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | spl0_28 ),
    inference(resolution,[],[f1035,f76]) ).

fof(f1160,plain,
    ( nil = sk3
    | spl0_28 ),
    inference(forward_subsumption_resolution,[],[f1159,f202]) ).

fof(f1161,plain,
    ( $false
    | spl0_1
    | spl0_28 ),
    inference(forward_subsumption_resolution,[],[f1160,f247]) ).

fof(f1162,plain,
    ( spl0_1
    | spl0_28 ),
    inference(avatar_contradiction_clause,[],[f1161]) ).

fof(f2166,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk4)
    | sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4)) ),
    inference(resolution,[],[f181,f206]) ).

fof(f2175,plain,
    ( ~ ssList(sk4)
    | sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4)) ),
    inference(forward_subsumption_resolution,[],[f2166,f202]) ).

fof(f2176,plain,
    sk4 = app(app(skaf47(sk4,sk3),sk3),skaf48(sk3,sk4)),
    inference(forward_subsumption_resolution,[],[f2175,f203]) ).

fof(f2286,plain,
    ( ! [X0,X1] :
        ( segmentP(app(nil,X0),X1)
        | ~ ssList(X0)
        | ~ ssList(nil)
        | ~ ssList(X1)
        | ~ ssList(nil)
        | ~ segmentP(nil,X1) )
    | ~ spl0_5 ),
    inference(superposition,[],[f186,f265]) ).

fof(f2314,plain,
    ( ! [X0,X1] :
        ( segmentP(app(nil,X0),X1)
        | ~ ssList(X0)
        | ~ ssList(nil)
        | ~ ssList(X1)
        | ~ segmentP(nil,X1) )
    | ~ spl0_5 ),
    inference(duplicate_literal_removal,[],[f2286]) ).

fof(f2345,plain,
    ( ! [X0,X1] :
        ( segmentP(app(nil,X0),X1)
        | ~ ssList(X0)
        | ~ ssList(X1)
        | ~ segmentP(nil,X1) )
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f2314,f268]) ).

fof(f2488,plain,
    ( ! [X0] :
        ( memberP(app(X0,sk3),hd(sk3))
        | ~ ssList(X0)
        | ~ ssItem(hd(sk3))
        | ~ ssList(app(X0,sk3))
        | ~ ssList(tl(sk3)) )
    | spl0_1 ),
    inference(superposition,[],[f229,f750]) ).

fof(f2495,plain,
    ( ! [X0] :
        ( memberP(app(X0,sk3),hd(sk3))
        | ~ ssList(X0)
        | ~ ssList(app(X0,sk3))
        | ~ ssList(tl(sk3)) )
    | spl0_1
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f2488,f1034]) ).

fof(f2500,plain,
    ( ! [X0] :
        ( memberP(app(X0,sk3),hd(sk3))
        | ~ ssList(X0)
        | ~ ssList(app(X0,sk3)) )
    | spl0_1
    | ~ spl0_27
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[],[f2495,f1030]) ).

fof(f2553,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
        | ~ ssList(X2)
        | ~ ssList(X0)
        | ~ ssItem(X1)
        | ~ ssList(X3) )
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f231,f299]) ).

fof(f2555,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssItem(X2)
        | ~ ssList(X3)
        | ~ ssList(app(X1,cons(X2,X0)))
        | ~ ssList(cons(X2,X3)) )
    | ~ spl0_13 ),
    inference(resolution,[],[f2553,f85]) ).

fof(f2576,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssItem(X2)
        | ~ ssList(X3)
        | ~ ssList(app(X1,cons(X2,X0))) )
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f2555,f86]) ).

fof(f2588,definition,
    ( spl0_57
  <=> ! [X3] : ~ ssList(X3) ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f2589,plain,
    ( ! [X3] : ~ ssList(X3)
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f2588]) ).

fof(f2591,definition,
    ( spl0_58
  <=> ! [X2,X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(app(X1,cons(X2,X0)))
        | ~ ssItem(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f2592,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssList(app(X1,cons(X2,X0)))
        | ~ ssList(X1)
        | ~ ssList(X0)
        | ~ ssItem(X2) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f2591]) ).

fof(f2593,plain,
    ( spl0_57
    | spl0_58
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f2576,f298,f2591,f2588]) ).

fof(f3160,plain,
    ! [X0] :
      ( memberP(sk4,X0)
      | ~ ssList(skaf48(sk3,sk4))
      | ~ ssList(app(skaf47(sk4,sk3),sk3))
      | ~ ssItem(X0)
      | ~ memberP(app(skaf47(sk4,sk3),sk3),X0) ),
    inference(superposition,[],[f151,f2176]) ).

fof(f3184,plain,
    ! [X0] :
      ( memberP(sk4,X0)
      | ~ ssList(app(skaf47(sk4,sk3),sk3))
      | ~ ssItem(X0)
      | ~ memberP(app(skaf47(sk4,sk3),sk3),X0) ),
    inference(forward_subsumption_resolution,[],[f3160,f48]) ).

fof(f3189,definition,
    ( spl0_71
  <=> ssList(app(skaf47(sk4,sk3),sk3)) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f3190,plain,
    ( ssList(app(skaf47(sk4,sk3),sk3))
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f3189]) ).

fof(f3191,plain,
    ( ~ ssList(app(skaf47(sk4,sk3),sk3))
    | spl0_71 ),
    inference(avatar_component_clause,[],[f3189]) ).

fof(f3229,definition,
    ( spl0_80
  <=> ! [X0] :
        ( memberP(sk4,X0)
        | ~ memberP(app(skaf47(sk4,sk3),sk3),X0)
        | ~ ssItem(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f3230,plain,
    ( ! [X0] :
        ( memberP(sk4,X0)
        | ~ memberP(app(skaf47(sk4,sk3),sk3),X0)
        | ~ ssItem(X0) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f3229]) ).

fof(f3231,plain,
    ( ~ spl0_71
    | spl0_80 ),
    inference(avatar_split_clause,[],[f3184,f3229,f3189]) ).

fof(f3614,plain,
    ( ~ ssList(skaf47(sk4,sk3))
    | ~ ssList(sk3)
    | spl0_71 ),
    inference(resolution,[],[f3191,f85]) ).

fof(f3615,plain,
    ( ~ ssList(sk3)
    | spl0_71 ),
    inference(forward_subsumption_resolution,[],[f3614,f49]) ).

fof(f3616,plain,
    ( $false
    | spl0_71 ),
    inference(forward_subsumption_resolution,[],[f3615,f202]) ).

fof(f3617,plain,
    spl0_71,
    inference(avatar_contradiction_clause,[],[f3616]) ).

fof(f4177,plain,
    ( nil = tl(cons(hd(sk3),nil))
    | ~ spl0_6
    | ~ spl0_28 ),
    inference(resolution,[],[f593,f1034]) ).

fof(f6846,plain,
    ( ! [X0] :
        ( segmentP(sk3,X0)
        | ~ ssList(sk3)
        | ~ ssList(X0)
        | ~ segmentP(nil,X0) )
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f2345,f383]) ).

fof(f6852,plain,
    ( ! [X0] :
        ( segmentP(sk3,X0)
        | ~ ssList(X0)
        | ~ segmentP(nil,X0) )
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f6846,f202]) ).

fof(f6896,plain,
    ( ! [X0] :
        ( ~ ssList(app(X0,sk3))
        | ~ ssList(X0)
        | ~ ssList(skaf82(sk3))
        | ~ ssItem(skaf83(sk3)) )
    | spl0_1
    | ~ spl0_58 ),
    inference(superposition,[],[f2592,f808]) ).

fof(f6898,plain,
    ( ! [X0] :
        ( ~ ssList(app(X0,sk3))
        | ~ ssList(X0)
        | ~ ssItem(skaf83(sk3)) )
    | spl0_1
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[],[f6896,f13]) ).

fof(f6904,plain,
    ( ! [X0] :
        ( ~ ssList(app(X0,sk3))
        | ~ ssList(X0) )
    | spl0_1
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[],[f6898,f12]) ).

fof(f6913,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(X0)
        | ~ ssList(sk3) )
    | spl0_1
    | ~ spl0_58 ),
    inference(resolution,[],[f6904,f85]) ).

fof(f6919,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(sk3) )
    | spl0_1
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f6913]) ).

fof(f6928,plain,
    ( ! [X0] : ~ ssList(X0)
    | spl0_1
    | ~ spl0_58 ),
    inference(forward_subsumption_resolution,[],[f6919,f202]) ).

fof(f6933,plain,
    ( spl0_57
    | spl0_1
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f6928,f2591,f245,f2588]) ).

fof(f6935,plain,
    ( $false
    | ~ spl0_57 ),
    inference(resolution,[],[f2589,f13]) ).

fof(f7017,plain,
    ~ spl0_57,
    inference(avatar_contradiction_clause,[],[f6935]) ).

fof(f8339,plain,
    ( ~ ssList(sk4)
    | ~ segmentP(nil,sk4)
    | ~ spl0_5
    | ~ spl0_6
    | spl0_26 ),
    inference(resolution,[],[f6852,f965]) ).

fof(f8449,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X1)
        | hd(cons(X0,tl(X1))) = X0
        | nil = X1 )
    | ~ spl0_12 ),
    inference(forward_subsumption_resolution,[],[f674,f296]) ).

fof(f10576,definition,
    ( spl0_183
  <=> nil = cons(hd(sk3),nil) ),
    introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).

fof(f10578,plain,
    ( nil = cons(hd(sk3),nil)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f10576]) ).

fof(f10580,definition,
    ( spl0_184
  <=> ssList(cons(hd(sk3),nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).

fof(f10581,plain,
    ( ssList(cons(hd(sk3),nil))
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f10580]) ).

fof(f10582,plain,
    ( ~ ssList(cons(hd(sk3),nil))
    | spl0_184 ),
    inference(avatar_component_clause,[],[f10580]) ).

fof(f10677,plain,
    ( ~ ssList(nil)
    | ~ ssItem(hd(sk3))
    | spl0_184 ),
    inference(resolution,[],[f10582,f86]) ).

fof(f10678,plain,
    ( ~ ssItem(hd(sk3))
    | ~ spl0_6
    | spl0_184 ),
    inference(forward_subsumption_resolution,[],[f10677,f268]) ).

fof(f10679,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_28
    | spl0_184 ),
    inference(forward_subsumption_resolution,[],[f10678,f1034]) ).

fof(f10680,plain,
    ( ~ spl0_6
    | ~ spl0_28
    | spl0_184 ),
    inference(avatar_contradiction_clause,[],[f10679]) ).

fof(f10801,plain,
    ( ! [X0] :
        ( hd(cons(X0,tl(cons(hd(sk3),nil)))) = X0
        | nil = cons(hd(sk3),nil) )
    | ~ spl0_12
    | ~ spl0_184 ),
    inference(resolution,[],[f10581,f8449]) ).

fof(f10802,plain,
    ( ! [X0] :
        ( hd(cons(X0,nil)) = X0
        | nil = cons(hd(sk3),nil) )
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_28
    | ~ spl0_184 ),
    inference(forward_demodulation,[],[f10801,f4177]) ).

fof(f10818,definition,
    ( spl0_187
  <=> ! [X0] : hd(cons(X0,nil)) = X0 ),
    introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).

fof(f10819,plain,
    ( ! [X0] : hd(cons(X0,nil)) = X0
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f10818]) ).

fof(f10820,plain,
    ( spl0_183
    | spl0_187
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_28
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f10802,f10580,f1033,f295,f267,f10818,f10576]) ).

fof(f11075,plain,
    ( skaf44(sk3) = hd(sk3)
    | ~ spl0_4
    | ~ spl0_187 ),
    inference(superposition,[],[f10819,f679]) ).

fof(f11204,plain,
    ( sk3 = cons(hd(sk3),nil)
    | ~ spl0_4
    | ~ spl0_187 ),
    inference(superposition,[],[f679,f11075]) ).

fof(f11334,plain,
    ( nil = tl(sk3)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_28
    | ~ spl0_187 ),
    inference(superposition,[],[f4177,f11204]) ).

fof(f11595,plain,
    ( singletonP(nil)
    | ~ ssList(nil)
    | ~ ssItem(hd(sk3))
    | ~ spl0_183 ),
    inference(superposition,[],[f221,f10578]) ).

fof(f11696,plain,
    ( ~ ssList(nil)
    | ~ ssItem(hd(sk3))
    | ~ spl0_183 ),
    inference(forward_subsumption_resolution,[],[f11595,f11]) ).

fof(f11719,plain,
    ( ~ ssItem(hd(sk3))
    | ~ spl0_6
    | ~ spl0_183 ),
    inference(forward_subsumption_resolution,[],[f11696,f268]) ).

fof(f11737,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_28
    | ~ spl0_183 ),
    inference(forward_subsumption_resolution,[],[f11719,f1034]) ).

fof(f11738,plain,
    ( ~ spl0_6
    | ~ spl0_28
    | ~ spl0_183 ),
    inference(avatar_contradiction_clause,[],[f11737]) ).

fof(f11742,plain,
    ( spl0_31
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_28
    | ~ spl0_187 ),
    inference(avatar_split_clause,[],[f11334,f10818,f1033,f267,f258,f1049]) ).

fof(f12140,plain,
    ( sk3 = cons(hd(sk3),nil)
    | spl0_1
    | ~ spl0_31 ),
    inference(superposition,[],[f750,f1051]) ).

fof(f45458,plain,
    ( ! [X0] :
        ( ~ memberP(app(skaf47(sk4,sk3),sk3),X0)
        | memberP(sk4,X0) )
    | ~ spl0_12
    | ~ spl0_80 ),
    inference(forward_subsumption_resolution,[],[f3230,f296]) ).

fof(f45471,plain,
    ( memberP(sk4,hd(sk3))
    | ~ ssList(skaf47(sk4,sk3))
    | ~ ssList(app(skaf47(sk4,sk3),sk3))
    | spl0_1
    | ~ spl0_12
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_80 ),
    inference(resolution,[],[f45458,f2500]) ).

fof(f45472,plain,
    ( memberP(sk4,hd(sk3))
    | ~ ssList(app(skaf47(sk4,sk3),sk3))
    | spl0_1
    | ~ spl0_12
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_80 ),
    inference(forward_subsumption_resolution,[],[f45471,f49]) ).

fof(f45475,plain,
    ( memberP(sk4,hd(sk3))
    | spl0_1
    | ~ spl0_12
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_71
    | ~ spl0_80 ),
    inference(forward_subsumption_resolution,[],[f45472,f3190]) ).

fof(f45480,plain,
    ( sk3 != cons(hd(sk3),nil)
    | ~ ssItem(hd(sk3))
    | spl0_1
    | ~ spl0_12
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_71
    | ~ spl0_80 ),
    inference(resolution,[],[f45475,f212]) ).

fof(f45489,plain,
    ( ~ ssItem(hd(sk3))
    | spl0_1
    | ~ spl0_12
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_31
    | ~ spl0_71
    | ~ spl0_80 ),
    inference(forward_subsumption_resolution,[],[f45480,f12140]) ).

fof(f45491,plain,
    ( $false
    | spl0_1
    | ~ spl0_12
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_31
    | ~ spl0_71
    | ~ spl0_80 ),
    inference(forward_subsumption_resolution,[],[f45489,f1034]) ).

fof(f45492,plain,
    ( spl0_1
    | ~ spl0_12
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_31
    | ~ spl0_71
    | ~ spl0_80 ),
    inference(avatar_contradiction_clause,[],[f45491]) ).

fof(f45493,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f575,f267,f254,f249]) ).

fof(f46514,plain,
    ( ~ segmentP(nil,sk4)
    | ~ spl0_5
    | ~ spl0_6
    | spl0_26 ),
    inference(forward_subsumption_resolution,[],[f8339,f203]) ).

fof(f46546,plain,
    ( ~ segmentP(nil,nil)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | spl0_26 ),
    inference(forward_demodulation,[],[f46514,f250]) ).

fof(f46572,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11
    | spl0_26 ),
    inference(forward_subsumption_resolution,[],[f46546,f292]) ).

fof(f46573,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11
    | spl0_26 ),
    inference(avatar_contradiction_clause,[],[f46572]) ).

fof(f46625,plain,
    ( nil = sk3
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(forward_demodulation,[],[f961,f250]) ).

fof(f46635,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[],[f46625,f247]) ).

fof(f46636,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(avatar_contradiction_clause,[],[f46635]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f252]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f261]) ).

cnf(s3,plain,
    ( spl0_5
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f270]) ).

cnf(s8,plain,
    ( ~ spl0_6
    | spl0_11 ),
    inference(sat_conversion,[],[f293]) ).

cnf(s9,plain,
    ( spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f300]) ).

cnf(s12,plain,
    spl0_6,
    inference(sat_conversion,[],[f303]) ).

cnf(s14,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f310]) ).

cnf(s24,plain,
    ( spl0_25
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f966]) ).

cnf(s29,plain,
    ( spl0_1
    | spl0_27 ),
    inference(sat_conversion,[],[f1066]) ).

cnf(s33,plain,
    ( spl0_1
    | spl0_28 ),
    inference(sat_conversion,[],[f1162]) ).

cnf(s50,plain,
    ( ~ spl0_13
    | spl0_57
    | spl0_58 ),
    inference(sat_conversion,[],[f2593]) ).

cnf(s73,plain,
    ( ~ spl0_71
    | spl0_80 ),
    inference(sat_conversion,[],[f3231]) ).

cnf(s88,plain,
    spl0_71,
    inference(sat_conversion,[],[f3617]) ).

cnf(s135,plain,
    ( spl0_1
    | spl0_57
    | ~ spl0_58 ),
    inference(sat_conversion,[],[f6933]) ).

cnf(s175,plain,
    ~ spl0_57,
    inference(sat_conversion,[],[f7017]) ).

cnf(s219,plain,
    ( ~ spl0_6
    | ~ spl0_28
    | spl0_184 ),
    inference(sat_conversion,[],[f10680]) ).

cnf(s221,plain,
    ( ~ spl0_6
    | ~ spl0_12
    | ~ spl0_28
    | spl0_183
    | ~ spl0_184
    | spl0_187 ),
    inference(sat_conversion,[],[f10820]) ).

cnf(s228,plain,
    ( ~ spl0_6
    | ~ spl0_28
    | ~ spl0_183 ),
    inference(sat_conversion,[],[f11738]) ).

cnf(s231,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_28
    | spl0_31
    | ~ spl0_187 ),
    inference(sat_conversion,[],[f11742]) ).

cnf(s537,plain,
    ( spl0_1
    | ~ spl0_12
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_31
    | ~ spl0_71
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f45492]) ).

cnf(s538,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_6 ),
    inference(sat_conversion,[],[f45493]) ).

cnf(s727,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11
    | spl0_26 ),
    inference(sat_conversion,[],[f46573]) ).

cnf(s731,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_25 ),
    inference(sat_conversion,[],[f46636]) ).

cnf(s783,plain,
    ( spl0_1
    | ~ spl0_58 ),
    inference(rat,[],[s135,s175]) ).

cnf(s799,plain,
    spl0_80,
    inference(rat,[],[s73,s88]) ).

cnf(s812,plain,
    ( ~ spl0_13
    | spl0_58 ),
    inference(rat,[],[s50,s175]) ).

cnf(s836,plain,
    spl0_11,
    inference(rat,[],[s8,s12]) ).

cnf(s839,plain,
    spl0_5,
    inference(rat,[],[s3,s12]) ).

cnf(s840,plain,
    ( ~ spl0_2
    | spl0_1 ),
    inference(rat,[],[s24,s727,s731,s839,s836,s12]) ).

cnf(s841,plain,
    spl0_1,
    inference(rat,[],[s840,s538,s2,s231,s221,s537,s9,s219,s228,s812,s29,s33,s783,s12,s88,s799]) ).

cnf(s842,plain,
    ~ spl0_4,
    inference(rat,[],[s14,s841]) ).

cnf(s843,plain,
    ~ spl0_2,
    inference(rat,[],[s1,s841]) ).

cnf(s844,plain,
    ~ spl0_3,
    inference(rat,[],[s2,s842]) ).

cnf(s854,plain,
    $false,
    inference(rat,[],[s538,s12,s844,s843]) ).

fof(f46646,plain,
    $false,
    inference(avatar_sat_refutation,[],[s854]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC388-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.18  % Computer : n018.cluster.edu
% 0.06/0.18  % Model    : x86_64 x86_64
% 0.06/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18  % Memory   : 8046.5625MB
% 0.06/0.18  % OS       : Linux 6.8.0-71-generic
% 0.06/0.18  % CPULimit : 300
% 0.06/0.18  % WCLimit  : 300
% 0.06/0.18  % DateTime : Mon Sep 28 09:28:10 UTC 2026
% 0.06/0.18  % CPUTime  : 
% 0.06/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.21  Running first-order model finding
% 0.06/0.21  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
% 16.11/2.53  % (3249573)Will run a generic schedule for satisfiability detection.
% 16.11/2.53  % (3249581)dis+10_1_sil=32000:sp=arity:random_seed=1011020112:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.11/2.53  % (3249579)% WARNING: option uhcvi not known.
% 16.11/2.53  % (3249579)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3232902010:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.11/2.53  % (3249578)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4031511392_2999 on theBenchmark for (2999ds/0Mi)
% 16.11/2.53  % (3249580)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2502959100:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.11/2.53  % (3249582)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1081525104:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.11/2.53  % (3249584)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3820331013:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.11/2.53  % TRYING [1]
% 16.11/2.53  % TRYING [2]
% 16.11/2.53  % (3249583)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4236270951:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.11/2.53  % TRYING [3]
% 16.11/2.53  % (3249581)Instruction limit reached! 
% 16.11/2.53  % (3249581)------------------------------
% 16.11/2.53  % (3249581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.53  % (3249581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.53  % (3249581)CaDiCaL version: 2.1.3
% 16.11/2.53  % (3249581)Termination reason: Instruction limit
% 16.11/2.53  % (3249581)Termination phase: Saturation
% 16.11/2.53  % (3249581)Time elapsed: 0.034 s
% 16.11/2.53  % (3249581)Peak memory usage: 13 MB
% 16.11/2.53  % (3249581)Instructions burned: 106 (million)
% 16.11/2.53  % (3249592)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3498756897:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.11/2.53  % TRYING [4]
% 16.11/2.53  % TRYING [1]
% 16.11/2.53  % TRYING [2]
% 16.11/2.53  % TRYING [3]
% 16.11/2.53  % TRYING [4]
% 16.11/2.53  % (3249582)Instruction limit reached! 
% 16.11/2.53  % (3249582)------------------------------
% 16.11/2.53  % (3249582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.53  % (3249582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.53  % (3249582)CaDiCaL version: 2.1.3
% 16.11/2.53  % (3249582)Termination reason: Instruction limit
% 16.11/2.53  % (3249582)Termination phase: Saturation
% 16.11/2.53  % (3249582)Time elapsed: 0.063 s
% 16.11/2.53  % (3249582)Peak memory usage: 13 MB
% 16.11/2.53  % (3249582)Instructions burned: 116 (million)
% 16.11/2.53  % (3249594)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=180425227:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 16.11/2.53  % (3249584)Instruction limit reached! 
% 16.11/2.53  % (3249584)------------------------------
% 16.11/2.53  % (3249584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.53  % (3249584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.53  % (3249584)CaDiCaL version: 2.1.3
% 16.11/2.53  % (3249584)Termination reason: Instruction limit
% 16.11/2.53  % (3249584)Termination phase: Saturation
% 16.11/2.53  % (3249584)Time elapsed: 0.088 s
% 16.11/2.53  % (3249584)Peak memory usage: 15 MB
% 16.11/2.53  % (3249584)Instructions burned: 159 (million)
% 16.11/2.53  % TRYING [5]
% 16.11/2.53  % TRYING [5]
% 16.11/2.53  % (3249596)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=3576537568:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.11/2.53  % (3249583)Instruction limit reached! 
% 16.11/2.53  % (3249583)------------------------------
% 16.11/2.53  % (3249583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.53  % (3249583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/2.53  % (3249583)CaDiCaL version: 2.1.3
% 16.11/2.53  % (3249583)Termination reason: Instruction limit
% 16.11/2.53  % (3249583)Termination phase: Saturation
% 16.11/2.53  % (3249583)Time elapsed: 0.120 s
% 16.11/2.53  % (3249583)Peak memory usage: 14 MB
% 16.11/2.53  % (3249583)Instructions burned: 131 (million)
% 16.11/2.53  % (3249594)Instruction limit reached! 
% 16.11/2.53  % (3249594)------------------------------
% 16.11/2.53  % (3249594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.11/2.53  % (3249594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.46/5.91  % (3249594)CaDiCaL version: 2.1.3
% 39.46/5.91  % (3249594)Termination reason: Instruction limit
% 39.46/5.91  % (3249594)Termination phase: Saturation
% 39.46/5.91  % (3249594)Time elapsed: 0.072 s
% 39.46/5.91  % (3249594)Peak memory usage: 14 MB
% 39.46/5.91  % (3249594)Instructions burned: 132 (million)
% 39.46/5.91  % (3249598)ott-21_1_sil=16000:fs=off:random_seed=2038374965:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 39.46/5.91  % (3249599)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3080783578:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 39.46/5.91  % TRYING [6]
% 39.46/5.91  % (3249592)Instruction limit reached! 
% 39.46/5.91  % (3249592)------------------------------
% 39.46/5.91  % (3249592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.46/5.91  % (3249592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.46/5.91  % (3249592)CaDiCaL version: 2.1.3
% 39.46/5.91  % (3249592)Termination reason: Instruction limit
% 39.46/5.91  % (3249592)Termination phase: Finite model building constraint generation
% 39.46/5.91  % (3249592)Time elapsed: 0.150 s
% 39.46/5.91  % (3249592)Peak memory usage: 36 MB
% 39.46/5.91  % (3249592)Instructions burned: 722 (million)
% 39.46/5.91  % (3249602)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1202072317:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 39.46/5.91  % TRYING [1]
% 39.46/5.91  % TRYING [2]
% 39.46/5.91  % TRYING [3]
% 39.46/5.91  % TRYING [4]
% 39.46/5.91  % TRYING [6]
% 39.46/5.91  % TRYING [5]
% 39.46/5.91  % (3249598)Instruction limit reached! 
% 39.46/5.91  % (3249598)------------------------------
% 39.46/5.91  % (3249598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.46/5.91  % (3249598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.46/5.91  % (3249598)CaDiCaL version: 2.1.3
% 39.46/5.91  % (3249598)Termination reason: Instruction limit
% 39.46/5.91  % (3249598)Termination phase: Saturation
% 39.46/5.91  % (3249598)Time elapsed: 0.123 s
% 39.46/5.91  % (3249598)Peak memory usage: 13 MB
% 39.46/5.91  % (3249598)Instructions burned: 180 (million)
% 39.46/5.91  % (3249604)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3500732606:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 39.46/5.91  % (3249602)Instruction limit reached! 
% 39.46/5.91  % (3249602)------------------------------
% 39.46/5.91  % (3249602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.46/5.91  % (3249602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.46/5.91  % (3249602)CaDiCaL version: 2.1.3
% 39.46/5.91  % (3249602)Termination reason: Instruction limit
% 39.46/5.91  % (3249602)Termination phase: Finite model building SAT solving
% 39.46/5.91  % (3249602)Time elapsed: 0.177 s
% 39.46/5.91  % (3249602)Peak memory usage: 22 MB
% 39.46/5.91  % (3249602)Instructions burned: 866 (million)
% 39.46/5.91  % (3249611)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3414111113:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 39.46/5.91  % TRYING [14]
% 39.46/5.91  % (3249599)Instruction limit reached! 
% 39.46/5.91  % (3249599)------------------------------
% 39.46/5.91  % (3249599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.46/5.91  % (3249599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.46/5.91  % (3249599)CaDiCaL version: 2.1.3
% 39.46/5.91  % (3249599)Termination reason: Instruction limit
% 39.46/5.91  % (3249599)Termination phase: Saturation
% 39.46/5.91  % (3249599)Time elapsed: 0.371 s
% 39.46/5.91  % (3249599)Peak memory usage: 15 MB
% 39.46/5.91  % (3249599)Instructions burned: 477 (million)
% 39.46/5.91  % (3249617)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=841067338: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)
% 39.46/5.91  % (3249596)Instruction limit reached! 
% 39.46/5.91  % (3249596)------------------------------
% 39.46/5.91  % (3249596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.46/5.91  % (3249596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.46/5.91  % (3249596)CaDiCaL version: 2.1.3
% 39.46/5.91  % (3249596)Termination reason: Instruction limit
% 39.46/5.91  % (3249596)Termination phase: Saturation
% 39.46/5.91  % (3249596)Time elapsed: 0.518 s
% 39.46/5.91  % (3249596)Peak memory usage: 19 MB
% 39.46/5.91  % (3249596)Instructions burned: 684 (million)
% 39.46/5.91  % (3249623)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=502112152:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 39.46/5.91  % (3249611)Instruction limit reached! 
% 38.68/6.62  % (3249611)------------------------------
% 38.68/6.62  % (3249611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.68/6.62  % (3249611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.68/6.62  % (3249611)CaDiCaL version: 2.1.3
% 38.68/6.62  % (3249611)Termination reason: Instruction limit
% 38.68/6.62  % (3249611)Termination phase: Finite model building constraint generation
% 38.68/6.62  % (3249611)Time elapsed: 0.329 s
% 38.68/6.62  % (3249611)Peak memory usage: 72 MB
% 38.68/6.62  % (3249611)Instructions burned: 889 (million)
% 38.68/6.62  % (3249627)fmb+10_1_sil=64000:random_seed=2613396249:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 38.68/6.62  % TRYING [1]
% 38.68/6.62  % TRYING [2]
% 38.68/6.62  % TRYING [3]
% 38.68/6.62  % TRYING [4]
% 38.68/6.62  % TRYING [5]
% 38.68/6.62  % TRYING [7]
% 38.68/6.62  % (3249617)Instruction limit reached! 
% 38.68/6.62  % (3249617)------------------------------
% 38.68/6.62  % (3249617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.68/6.62  % (3249617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.68/6.62  % (3249617)CaDiCaL version: 2.1.3
% 38.68/6.62  % (3249617)Termination reason: Instruction limit
% 38.68/6.62  % (3249617)Termination phase: Saturation
% 38.68/6.62  % (3249617)Time elapsed: 0.491 s
% 38.68/6.62  % (3249617)Peak memory usage: 22 MB
% 38.68/6.62  % (3249617)Instructions burned: 693 (million)
% 38.68/6.62  % (3249630)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2350463929:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 38.68/6.62  % TRYING [20]
% 38.68/6.62  % TRYING [6]
% 38.68/6.62  % (3249623)Instruction limit reached! 
% 38.68/6.62  % (3249623)------------------------------
% 38.68/6.62  % (3249623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.68/6.62  % (3249623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.68/6.62  % (3249623)CaDiCaL version: 2.1.3
% 38.68/6.62  % (3249623)Termination reason: Instruction limit
% 38.68/6.62  % (3249623)Termination phase: Saturation
% 38.68/6.62  % (3249623)Time elapsed: 0.535 s
% 38.68/6.62  % (3249623)Peak memory usage: 20 MB
% 38.68/6.62  % (3249623)Instructions burned: 879 (million)
% 38.68/6.62  % (3249633)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3634371301:fmbsr=1.7:i=920_2987 on theBenchmark for (2987ds/920Mi)
% 38.68/6.62  % TRYING [8]
% 38.68/6.62  % (3249604)Instruction limit reached! 
% 38.68/6.62  % (3249604)------------------------------
% 38.68/6.62  % (3249604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.68/6.62  % (3249604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.68/6.62  % (3249604)CaDiCaL version: 2.1.3
% 38.68/6.62  % (3249604)Termination reason: Instruction limit
% 38.68/6.62  % (3249604)Termination phase: Saturation
% 38.68/6.62  % (3249604)Time elapsed: 0.932 s
% 38.68/6.62  % (3249604)Peak memory usage: 28 MB
% 38.68/6.62  % (3249604)Instructions burned: 1179 (million)
% 38.68/6.62  % (3249635)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=174958949:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 38.68/6.62  % (3249633)Instruction limit reached! 
% 38.68/6.62  % (3249633)------------------------------
% 38.68/6.62  % (3249633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.68/6.62  % (3249633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.68/6.62  % (3249633)CaDiCaL version: 2.1.3
% 38.68/6.62  % (3249633)Termination reason: Instruction limit
% 38.68/6.62  % (3249633)Termination phase: Finite model building constraint generation
% 38.68/6.62  % (3249633)Time elapsed: 0.331 s
% 38.68/6.62  % (3249633)Peak memory usage: 79 MB
% 38.68/6.62  % (3249633)Instructions burned: 921 (million)
% 38.68/6.62  % TRYING [7]
% 38.68/6.62  % (3249742)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3722138479:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 38.68/6.62  % TRYING [8]
% 38.68/6.62  % (3249742)Instruction limit reached! 
% 38.68/6.62  % (3249742)------------------------------
% 38.68/6.62  % (3249742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.68/6.62  % (3249742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.68/6.62  % (3249742)CaDiCaL version: 2.1.3
% 38.68/6.62  % (3249742)Termination reason: Instruction limit
% 38.68/6.62  % (3249742)Termination phase: Saturation
% 38.68/6.62  % (3249742)Time elapsed: 0.663 s
% 38.68/6.62  % (3249742)Peak memory usage: 15 MB
% 38.68/6.62  % (3249742)Instructions burned: 1474 (million)
% 38.68/6.62  % (3249791)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4202238926:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 38.68/6.62  % TRYING [77]
% 38.68/6.62  % TRYING [8]
% 38.68/6.62  % (3249635)Instruction limit reached! 
% 38.68/6.62  % (3249635)------------------------------
% 38.68/6.62  % (3249635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.68/6.62  % (3249635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.68/6.62  % (3249635)CaDiCaL version: 2.1.3
% 38.68/6.62  % (3249635)Termination reason: Instruction limit
% 38.68/6.62  % (3249635)Termination phase: Saturation
% 38.68/6.62  % (3249635)Time elapsed: 2.650 s
% 38.68/6.62  % (3249635)Peak memory usage: 57 MB
% 38.68/6.62  % (3249635)Instructions burned: 5131 (million)
% 38.68/6.62  % (3249793)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1060973:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 38.68/6.62  % TRYING [16]
% 38.68/6.62  % TRYING [9]
% 38.68/6.62  % (3249630)Instruction limit reached! 
% 38.68/6.62  % (3249630)------------------------------
% 38.68/6.62  % (3249630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.68/6.62  % (3249630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.68/6.62  % (3249630)CaDiCaL version: 2.1.3
% 38.68/6.62  % (3249630)Termination reason: Instruction limit
% 38.68/6.62  % (3249630)Termination phase: Finite model building constraint generation
% 38.68/6.62  % (3249630)Time elapsed: 3.241 s
% 38.68/6.62  % (3249630)Peak memory usage: 588 MB
% 38.68/6.62  % (3249630)Instructions burned: 9516 (million)
% 38.68/6.62  % (3249795)ott-2_1_sil=16000:newcnf=on:random_seed=2122883532:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2955 on theBenchmark for (2955ds/869Mi)
% 38.68/6.62  % (3249791)Instruction limit reached! 
% 38.68/6.62  % (3249791)------------------------------
% 38.68/6.62  % (3249791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.68/6.62  % (3249791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.68/6.62  % (3249791)CaDiCaL version: 2.1.3
% 38.68/6.62  % (3249791)Termination reason: Instruction limit
% 38.68/6.62  % (3249791)Termination phase: Finite model building constraint generation
% 38.68/6.62  % (3249791)Time elapsed: 2.214 s
% 38.68/6.62  % (3249791)Peak memory usage: 406 MB
% 38.68/6.62  % (3249791)Instructions burned: 6325 (million)
% 38.68/6.62  % (3249797)ott+10_1_sil=32000:tgt=ground:random_seed=967421752:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 38.68/6.62  % TRYING [9]
% 38.68/6.62  % (3249793)Instruction limit reached! 
% 38.68/6.62  % (3249793)------------------------------
% 38.68/6.62  % (3249793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.68/6.62  % (3249793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.68/6.62  % (3249793)CaDiCaL version: 2.1.3
% 38.68/6.62  % (3249793)Termination reason: Instruction limit
% 38.68/6.62  % (3249793)Termination phase: Finite model building constraint generation
% 38.68/6.62  % (3249793)Time elapsed: 0.749 s
% 38.68/6.62  % (3249793)Peak memory usage: 138 MB
% 38.68/6.62  % (3249793)Instructions burned: 2177 (million)
% 38.68/6.62  % (3249799)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3055985602:i=54282_2952 on theBenchmark for (2952ds/54282Mi)
% 38.68/6.62  % TRYING [1]
% 38.68/6.62  % TRYING [2]
% 38.68/6.62  % TRYING [3]
% 38.68/6.62  % TRYING [4]
% 38.68/6.62  % TRYING [5]
% 38.68/6.62  % (3249795)Instruction limit reached! 
% 38.68/6.62  % (3249795)------------------------------
% 38.68/6.62  % (3249795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.68/6.62  % (3249795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.68/6.62  % (3249795)CaDiCaL version: 2.1.3
% 38.68/6.62  % (3249795)Termination reason: Instruction limit
% 38.68/6.62  % (3249795)Termination phase: Saturation
% 38.68/6.62  % (3249795)Time elapsed: 0.451 s
% 38.68/6.62  % (3249795)Peak memory usage: 23 MB
% 38.68/6.62  % (3249795)Instructions burned: 870 (million)
% 38.68/6.62  % (3249801)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2156293114:i=3512:aac=none_2951 on theBenchmark for (2951ds/3512Mi)
% 38.68/6.62  % TRYING [6]
% 38.68/6.62  % TRYING [7]
% 38.68/6.62  % (3249627)Instruction limit reached! 
% 38.68/6.62  % (3249627)------------------------------
% 38.68/6.62  % (3249627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.68/6.62  % (3249627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.68/6.62  % (3249627)CaDiCaL version: 2.1.3
% 38.68/6.62  % (3249627)Termination reason: Instruction limit
% 38.68/6.62  % (3249627)Termination phase: Finite model building SAT solving
% 38.68/6.62  % (3249627)Time elapsed: 4.901 s
% 38.68/6.62  % (3249627)Peak memory usage: 245 MB
% 38.68/6.62  % (3249627)Instructions burned: 22064 (million)
% 38.68/6.62  % (3249803)dis+21_1_sil=32000:sas=cadical:random_seed=3262348311:i=3773:amm=off_2942 on theBenchmark for (2942ds/3773Mi)
% 38.68/6.62  % (3249803) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3249573-3249803"...
% 38.68/6.62  % (3249803)...printing done.
% 38.68/6.62  % (3249803)Refutation found. Thanks to Tanya!
% 38.68/6.62  % SZS status Unsatisfiable for theBenchmark
% 38.68/6.62  % SZS output start Proof for theBenchmark
% See solution above
% 38.68/6.62  % (3249803)------------------------------
% 38.68/6.62  % (3249803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.68/6.62  % (3249803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.68/6.62  % (3249803)CaDiCaL version: 2.1.3
% 38.68/6.62  % (3249803)Termination reason: Refutation
% 38.68/6.62  % (3249803)Time elapsed: 0.627 s
% 38.68/6.62  % (3249803)Peak memory usage: 33 MB
% 38.68/6.62  % (3249803)Instructions burned: 2169 (million)
% 38.68/6.62  % (3249573)Success in time 6.396 s
% 38.68/6.62  % Vampire exiting
%------------------------------------------------------------------------------