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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC053-1 : 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 : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:04:28 PM UTC 2026

% Result   : Unsatisfiable 10.39s 2.62s
% Output   : Refutation 10.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   38
% Syntax   : Number of formulae    :  158 (  15 unt;   8 def)
%            Number of atoms       :  483 (  67 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :  617 ( 292   ~; 317   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   9 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   62 (   0 sgn  62   !;   0   ?)

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

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

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

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

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

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

fof(f84,axiom,
    ! [X0] :
      ( ~ frontsegP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause84) ).

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

fof(f118,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).

fof(f138,axiom,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ frontsegP(X1,X0)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | X1 = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause129) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X1,X0)
      | ~ frontsegP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | X0 = X1 ),
    inference(reorient_equations,[],[f138]) ).

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

fof(f155,axiom,
    ! [X2,X0,X1] :
      ( app(X0,X1) != X2
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | frontsegP(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).

fof(f163,axiom,
    ! [X2,X0,X1] :
      ( app(X0,X1) != app(X2,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | X0 = X2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause151) ).

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(f206,negated_conjecture,
    ( ssList(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

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

fof(f208,negated_conjecture,
    ( neq(sk5,nil)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

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

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

fof(f211,negated_conjecture,
    ( neq(sk5,nil)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f212,negated_conjecture,
    ( frontsegP(sk4,sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f213,negated_conjecture,
    ( frontsegP(sk3,sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f215,negated_conjecture,
    ! [X0] :
      ( nil = sk2
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk2,X0)
      | ~ segmentP(sk1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f216,negated_conjecture,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

fof(f217,negated_conjecture,
    ! [X0] :
      ( nil != sk1
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk2,X0)
      | ~ segmentP(sk1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

fof(f221,plain,
    ! [X0] :
      ( nil = sk4
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(definition_unfolding,[],[f215,f204,f204,f205]) ).

fof(f222,plain,
    ( nil != sk3
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f216,f205,f204]) ).

fof(f223,plain,
    ! [X0] :
      ( nil != sk3
      | ~ ssList(X0)
      | ~ neq(X0,nil)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(definition_unfolding,[],[f217,f205,f204,f205]) ).

fof(f230,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f118]) ).

fof(f235,plain,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1))
      | frontsegP(app(X0,X1),X0) ),
    inference(equality_resolution,[],[f155]) ).

fof(f238,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f187]) ).

fof(f252,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f230]) ).

fof(f255,definition,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f256,plain,
    ( nil != sk4
    | spl0_1 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f257,plain,
    ( nil = sk4
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f259,definition,
    ( spl0_2
  <=> ssList(sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f260,plain,
    ( ~ ssList(sk5)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f261,plain,
    ( ssList(sk5)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f262,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f206,f259,f255]) ).

fof(f264,definition,
    ( spl0_3
  <=> neq(sk5,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f266,plain,
    ( neq(sk5,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f267,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f208,f264,f255]) ).

fof(f268,plain,
    ( ssList(nil)
    | ~ spl0_1 ),
    inference(superposition,[],[f203,f257]) ).

fof(f270,definition,
    ( spl0_4
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f271,plain,
    ( nil != sk3
    | spl0_4 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f272,plain,
    ( nil = sk3
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f273,plain,
    ( spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f211,f264,f270]) ).

fof(f276,definition,
    ( spl0_5
  <=> frontsegP(sk3,sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f278,plain,
    ( frontsegP(sk3,sk5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f279,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f213,f276,f270]) ).

fof(f280,plain,
    ( ssList(nil)
    | ~ spl0_4 ),
    inference(superposition,[],[f202,f272]) ).

fof(f281,plain,
    ( neq(sk4,nil)
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f222,f272]) ).

fof(f282,plain,
    ( neq(nil,nil)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f281,f257]) ).

fof(f283,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ~ neq(X0,nil)
        | ~ segmentP(sk4,X0)
        | ~ segmentP(sk3,X0) )
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f223,f272]) ).

fof(f284,plain,
    ( ! [X0] :
        ( ~ segmentP(nil,X0)
        | ~ ssList(X0)
        | ~ neq(X0,nil)
        | ~ segmentP(sk3,X0) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f283,f257]) ).

fof(f285,plain,
    ( ! [X0] :
        ( ~ segmentP(nil,X0)
        | ~ segmentP(nil,X0)
        | ~ ssList(X0)
        | ~ neq(X0,nil) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f284,f272]) ).

fof(f286,plain,
    ( ! [X0] :
        ( ~ neq(X0,nil)
        | ~ ssList(X0)
        | ~ segmentP(nil,X0) )
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f285]) ).

fof(f288,plain,
    ( ~ ssList(nil)
    | ~ segmentP(nil,nil)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(resolution,[],[f286,f282]) ).

fof(f289,plain,
    ( ~ segmentP(nil,nil)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f288,f268]) ).

fof(f291,plain,
    ( ~ ssList(nil)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(resolution,[],[f56,f289]) ).

fof(f292,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f291,f268]) ).

fof(f293,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f292]) ).

fof(f294,plain,
    ( frontsegP(nil,sk5)
    | nil = sk4
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f210,f272]) ).

fof(f297,plain,
    ( frontsegP(sk4,sk5)
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f209,f256]) ).

fof(f298,plain,
    ( frontsegP(nil,sk5)
    | spl0_1
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f294,f256]) ).

fof(f316,definition,
    ( spl0_8
  <=> segmentP(sk4,sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f317,plain,
    ( segmentP(sk4,sk5)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f318,plain,
    ( ~ segmentP(sk4,sk5)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f393,plain,
    ( sk5 = app(nil,sk5)
    | ~ spl0_2 ),
    inference(resolution,[],[f74,f261]) ).

fof(f405,plain,
    ( ~ ssList(sk5)
    | nil = sk5
    | spl0_1
    | ~ spl0_4 ),
    inference(resolution,[],[f84,f298]) ).

fof(f410,plain,
    ( nil = sk5
    | spl0_1
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f405,f261]) ).

fof(f412,plain,
    ( neq(nil,nil)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f266,f410]) ).

fof(f427,plain,
    ( ~ ssList(nil)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f412,f252]) ).

fof(f431,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f427,f280]) ).

fof(f432,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f431]) ).

fof(f435,plain,
    ( ! [X0] :
        ( ~ neq(X0,nil)
        | ~ ssList(X0)
        | ~ segmentP(sk4,X0)
        | ~ segmentP(sk3,X0) )
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f221,f256]) ).

fof(f438,plain,
    ( ~ ssList(sk5)
    | ~ segmentP(sk4,sk5)
    | ~ segmentP(sk3,sk5)
    | spl0_1
    | ~ spl0_3 ),
    inference(resolution,[],[f435,f266]) ).

fof(f900,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(forward_subsumption_resolution,[],[f235,f85]) ).

fof(f902,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ frontsegP(X0,app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1))
      | app(X0,X1) = X0 ),
    inference(resolution,[],[f900,f139]) ).

fof(f927,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ frontsegP(X0,app(X0,X1))
      | ~ ssList(app(X0,X1))
      | app(X0,X1) = X0 ),
    inference(duplicate_literal_removal,[],[f902]) ).

fof(f929,plain,
    ! [X0,X1] :
      ( ~ frontsegP(X0,app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(X0,X1) = X0 ),
    inference(forward_subsumption_resolution,[],[f927,f85]) ).

fof(f1009,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(X0)
      | app(skaf46(X0,X0),X0) = X0
      | ~ ssList(X0) ),
    inference(resolution,[],[f142,f59]) ).

fof(f1012,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(skaf46(X0,X0),X0) = X0 ),
    inference(duplicate_literal_removal,[],[f1009]) ).

fof(f1017,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk4)
    | sk4 = app(sk5,skaf45(sk4,sk5))
    | spl0_1 ),
    inference(resolution,[],[f143,f297]) ).

fof(f1018,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk3)
    | sk3 = app(sk5,skaf45(sk3,sk5))
    | ~ spl0_5 ),
    inference(resolution,[],[f143,f278]) ).

fof(f1027,plain,
    ( ~ ssList(sk3)
    | sk3 = app(sk5,skaf45(sk3,sk5))
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f1018,f261]) ).

fof(f1028,plain,
    ( ~ ssList(sk4)
    | sk4 = app(sk5,skaf45(sk4,sk5))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f1017,f261]) ).

fof(f1029,plain,
    ( sk3 = app(sk5,skaf45(sk3,sk5))
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f1027,f202]) ).

fof(f1030,plain,
    ( sk4 = app(sk5,skaf45(sk4,sk5))
    | spl0_1
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f1028,f203]) ).

fof(f1737,plain,
    ( ! [X0] :
        ( sk5 != app(X0,sk5)
        | ~ ssList(X0)
        | ~ ssList(sk5)
        | ~ ssList(nil)
        | nil = X0 )
    | ~ spl0_2 ),
    inference(superposition,[],[f163,f393]) ).

fof(f1742,plain,
    ( ! [X0] :
        ( sk5 != app(X0,sk5)
        | ~ ssList(X0)
        | ~ ssList(nil)
        | nil = X0 )
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f1737,f261]) ).

fof(f1790,plain,
    ( ! [X0] :
        ( sk5 != app(X0,sk5)
        | ~ ssList(X0)
        | nil = X0 )
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f1742,f8]) ).

fof(f2560,plain,
    ( ! [X0] :
        ( segmentP(app(sk5,X0),sk5)
        | ~ ssList(nil)
        | ~ ssList(sk5)
        | ~ ssList(app(sk5,X0))
        | ~ ssList(X0) )
    | ~ spl0_2 ),
    inference(superposition,[],[f238,f393]) ).

fof(f2573,plain,
    ( ! [X0] :
        ( segmentP(app(sk5,X0),sk5)
        | ~ ssList(sk5)
        | ~ ssList(app(sk5,X0))
        | ~ ssList(X0) )
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f2560,f8]) ).

fof(f2588,plain,
    ( ! [X0] :
        ( segmentP(app(sk5,X0),sk5)
        | ~ ssList(app(sk5,X0))
        | ~ ssList(X0) )
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f2573,f261]) ).

fof(f2886,definition,
    ( spl0_16
  <=> nil = sk5 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f2887,plain,
    ( nil != sk5
    | spl0_16 ),
    inference(avatar_component_clause,[],[f2886]) ).

fof(f2888,plain,
    ( nil = sk5
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f2886]) ).

fof(f6636,plain,
    ( sk5 = app(skaf46(sk5,sk5),sk5)
    | ~ spl0_2 ),
    inference(resolution,[],[f1012,f261]) ).

fof(f9938,plain,
    ( sk5 != sk5
    | ~ ssList(skaf46(sk5,sk5))
    | nil = skaf46(sk5,sk5)
    | ~ spl0_2 ),
    inference(superposition,[],[f1790,f6636]) ).

fof(f9939,plain,
    ( ~ ssList(skaf46(sk5,sk5))
    | nil = skaf46(sk5,sk5)
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f9938]) ).

fof(f9940,plain,
    ( nil = skaf46(sk5,sk5)
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f9939,f50]) ).

fof(f11539,definition,
    ( spl0_43
  <=> frontsegP(nil,sk5) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f13740,plain,
    ( ~ frontsegP(skaf46(sk5,sk5),sk5)
    | ~ ssList(sk5)
    | ~ ssList(skaf46(sk5,sk5))
    | sk5 = skaf46(sk5,sk5)
    | ~ spl0_2 ),
    inference(superposition,[],[f929,f6636]) ).

fof(f13742,plain,
    ( ~ frontsegP(skaf46(sk5,sk5),sk5)
    | ~ ssList(skaf46(sk5,sk5))
    | sk5 = skaf46(sk5,sk5)
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f13740,f261]) ).

fof(f13790,plain,
    ( ~ frontsegP(skaf46(sk5,sk5),sk5)
    | sk5 = skaf46(sk5,sk5)
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f13742,f50]) ).

fof(f13798,plain,
    ( ~ frontsegP(nil,sk5)
    | sk5 = skaf46(sk5,sk5)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f13790,f9940]) ).

fof(f39542,plain,
    ( segmentP(sk3,sk5)
    | ~ ssList(sk3)
    | ~ ssList(skaf45(sk3,sk5))
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(superposition,[],[f2588,f1029]) ).

fof(f39543,plain,
    ( segmentP(sk4,sk5)
    | ~ ssList(sk4)
    | ~ ssList(skaf45(sk4,sk5))
    | spl0_1
    | ~ spl0_2 ),
    inference(superposition,[],[f2588,f1030]) ).

fof(f39556,plain,
    ( ~ ssList(sk4)
    | ~ ssList(skaf45(sk4,sk5))
    | spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(forward_subsumption_resolution,[],[f39543,f318]) ).

fof(f39557,plain,
    ( segmentP(sk3,sk5)
    | ~ ssList(skaf45(sk3,sk5))
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f39542,f202]) ).

fof(f39567,plain,
    ( ~ ssList(skaf45(sk4,sk5))
    | spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(forward_subsumption_resolution,[],[f39556,f203]) ).

fof(f39568,plain,
    ( segmentP(sk3,sk5)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f39557,f51]) ).

fof(f39570,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(forward_subsumption_resolution,[],[f39567,f51]) ).

fof(f39571,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(avatar_contradiction_clause,[],[f39570]) ).

fof(f39572,plain,
    ( ~ segmentP(sk4,sk5)
    | ~ segmentP(sk3,sk5)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[],[f438,f261]) ).

fof(f39583,plain,
    ( ~ segmentP(sk3,sk5)
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f39572,f317]) ).

fof(f39603,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f39568,f39583]) ).

fof(f39604,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f39603]) ).

fof(f39605,plain,
    ( frontsegP(sk4,sk5)
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f212,f271]) ).

fof(f39984,plain,
    ( frontsegP(nil,sk5)
    | ~ spl0_1
    | spl0_4 ),
    inference(forward_demodulation,[],[f39605,f257]) ).

fof(f39987,plain,
    ( nil = sk5
    | ~ frontsegP(nil,sk5)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f13798,f9940]) ).

fof(f39991,plain,
    ( ~ frontsegP(nil,sk5)
    | ~ spl0_2
    | spl0_16 ),
    inference(forward_subsumption_resolution,[],[f39987,f2887]) ).

fof(f39995,plain,
    ( spl0_43
    | ~ spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f39984,f270,f255,f11539]) ).

fof(f40042,plain,
    ( neq(nil,nil)
    | ~ spl0_3
    | ~ spl0_16 ),
    inference(superposition,[],[f266,f2888]) ).

fof(f40712,plain,
    ( ~ ssList(nil)
    | ~ spl0_3
    | ~ spl0_16 ),
    inference(resolution,[],[f40042,f252]) ).

fof(f40714,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_16 ),
    inference(forward_subsumption_resolution,[],[f40712,f8]) ).

fof(f40715,plain,
    ( ~ spl0_3
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f40714]) ).

fof(f41418,plain,
    ( ~ spl0_43
    | ~ spl0_2
    | spl0_16 ),
    inference(avatar_split_clause,[],[f39991,f2886,f259,f11539]) ).

fof(f41419,plain,
    ( ssList(sk5)
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f207,f271]) ).

fof(f41429,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f41419,f260]) ).

fof(f41430,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f41429]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f262]) ).

cnf(s2,plain,
    ( spl0_1
    | spl0_3 ),
    inference(sat_conversion,[],[f267]) ).

cnf(s3,plain,
    ( spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f273]) ).

cnf(s4,plain,
    ( spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f279]) ).

cnf(s5,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f293]) ).

cnf(s11,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(sat_conversion,[],[f432]) ).

cnf(s46,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_8 ),
    inference(sat_conversion,[],[f39571]) ).

cnf(s47,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f39604]) ).

cnf(s52,plain,
    ( ~ spl0_1
    | spl0_4
    | spl0_43 ),
    inference(sat_conversion,[],[f39995]) ).

cnf(s60,plain,
    ( ~ spl0_3
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f40715]) ).

cnf(s61,plain,
    ( ~ spl0_2
    | spl0_16
    | ~ spl0_43 ),
    inference(sat_conversion,[],[f41418]) ).

cnf(s62,plain,
    ( spl0_2
    | spl0_4 ),
    inference(sat_conversion,[],[f41430]) ).

cnf(s65,plain,
    spl0_1,
    inference(rat,[],[s4,s47,s11,s46,s1,s2]) ).

cnf(s69,plain,
    ~ spl0_4,
    inference(rat,[],[s5,s65]) ).

cnf(s70,plain,
    spl0_2,
    inference(rat,[],[s62,s69]) ).

cnf(s71,plain,
    spl0_43,
    inference(rat,[],[s52,s65,s69]) ).

cnf(s74,plain,
    spl0_3,
    inference(rat,[],[s3,s69]) ).

cnf(s75,plain,
    spl0_16,
    inference(rat,[],[s61,s70,s71]) ).

cnf(s77,plain,
    $false,
    inference(rat,[],[s60,s75,s74]) ).

fof(f41431,plain,
    $false,
    inference(avatar_sat_refutation,[],[s77]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC053-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.37  % Computer : n007.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8046.5625MB
% 0.13/0.37  % OS       : Linux 6.8.0-71-generic
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Mon Sep 28 07:36:10 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41  Running first-order model finding
% 0.13/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.33/2.38  % (2224735)Will run a generic schedule for satisfiability detection.
% 13.33/2.38  % (2224743)dis+10_1_sil=32000:sp=arity:random_seed=2662209808:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.33/2.38  % (2224741)% WARNING: option uhcvi not known.
% 13.33/2.38  % (2224741)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1113197167:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.33/2.38  % (2224740)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1316355860_2999 on theBenchmark for (2999ds/0Mi)
% 13.33/2.38  % (2224742)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=475729781:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.33/2.38  % (2224744)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2235485572:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.33/2.38  % (2224746)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=12921308:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.33/2.38  % (2224745)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=838174023:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.33/2.38  % TRYING [1]
% 13.33/2.38  % TRYING [2]
% 13.33/2.38  % TRYING [3]
% 13.33/2.38  % (2224743)Instruction limit reached! 
% 13.33/2.38  % (2224743)------------------------------
% 13.33/2.38  % (2224743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.33/2.38  % (2224743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.33/2.38  % (2224743)CaDiCaL version: 2.1.3
% 13.33/2.38  % (2224743)Termination reason: Instruction limit
% 13.33/2.38  % (2224743)Termination phase: Saturation
% 13.33/2.38  % (2224743)Time elapsed: 0.033 s
% 13.33/2.38  % (2224743)Peak memory usage: 13 MB
% 13.33/2.38  % (2224743)Instructions burned: 103 (million)
% 13.33/2.38  % (2224754)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2707513198:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.33/2.38  % TRYING [4]
% 13.33/2.38  % TRYING [1]
% 13.33/2.38  % TRYING [2]
% 13.33/2.38  % TRYING [3]
% 13.33/2.38  % TRYING [4]
% 13.33/2.38  % (2224744)Instruction limit reached! 
% 13.33/2.38  % (2224744)------------------------------
% 13.33/2.38  % (2224744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.33/2.38  % (2224744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.33/2.38  % (2224744)CaDiCaL version: 2.1.3
% 13.33/2.38  % (2224744)Termination reason: Instruction limit
% 13.33/2.38  % (2224744)Termination phase: Saturation
% 13.33/2.38  % (2224744)Time elapsed: 0.061 s
% 13.33/2.38  % (2224744)Peak memory usage: 13 MB
% 13.33/2.38  % (2224744)Instructions burned: 116 (million)
% 13.33/2.38  % (2224745)Instruction limit reached! 
% 13.33/2.38  % (2224745)------------------------------
% 13.33/2.38  % (2224745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.33/2.38  % (2224745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.33/2.38  % (2224745)CaDiCaL version: 2.1.3
% 13.33/2.38  % (2224745)Termination reason: Instruction limit
% 13.33/2.38  % (2224745)Termination phase: Saturation
% 13.33/2.38  % (2224745)Time elapsed: 0.067 s
% 13.33/2.38  % (2224745)Peak memory usage: 14 MB
% 13.33/2.38  % (2224745)Instructions burned: 133 (million)
% 13.33/2.38  % (2224756)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=150873806:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.33/2.38  % (2224757)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=3048338588:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.33/2.38  % TRYING [5]
% 13.33/2.38  % (2224746)Instruction limit reached! 
% 13.33/2.38  % (2224746)------------------------------
% 13.33/2.38  % (2224746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.33/2.38  % (2224746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.33/2.38  % (2224746)CaDiCaL version: 2.1.3
% 13.33/2.38  % (2224746)Termination reason: Instruction limit
% 13.33/2.38  % (2224746)Termination phase: Saturation
% 13.33/2.38  % (2224746)Time elapsed: 0.092 s
% 13.33/2.38  % (2224746)Peak memory usage: 13 MB
% 13.33/2.38  % (2224746)Instructions burned: 159 (million)
% 13.33/2.38  % TRYING [5]
% 13.33/2.38  % (2224760)ott-21_1_sil=16000:fs=off:random_seed=3019669827:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.33/2.38  % (2224756)Instruction limit reached! 
% 13.33/2.38  % (2224756)------------------------------
% 13.33/2.38  % (2224756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/2.61  % (2224756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.61  % (2224756)CaDiCaL version: 2.1.3
% 10.39/2.61  % (2224756)Termination reason: Instruction limit
% 10.39/2.61  % (2224756)Termination phase: Saturation
% 10.39/2.61  % (2224756)Time elapsed: 0.068 s
% 10.39/2.61  % (2224756)Peak memory usage: 13 MB
% 10.39/2.61  % (2224756)Instructions burned: 132 (million)
% 10.39/2.61  % (2224762)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2785011841:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 10.39/2.61  % TRYING [6]
% 10.39/2.61  % (2224754)Instruction limit reached! 
% 10.39/2.61  % (2224754)------------------------------
% 10.39/2.61  % (2224754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/2.61  % (2224754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.61  % (2224754)CaDiCaL version: 2.1.3
% 10.39/2.61  % (2224754)Termination reason: Instruction limit
% 10.39/2.61  % (2224754)Termination phase: Finite model building constraint generation
% 10.39/2.61  % (2224754)Time elapsed: 0.149 s
% 10.39/2.61  % (2224754)Peak memory usage: 36 MB
% 10.39/2.61  % (2224754)Instructions burned: 720 (million)
% 10.39/2.61  % (2224764)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1348012116:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 10.39/2.61  % (2224760)Instruction limit reached! 
% 10.39/2.61  % (2224760)------------------------------
% 10.39/2.61  % (2224760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/2.61  % (2224760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.61  % (2224760)CaDiCaL version: 2.1.3
% 10.39/2.61  % (2224760)Termination reason: Instruction limit
% 10.39/2.61  % (2224760)Termination phase: Saturation
% 10.39/2.61  % (2224760)Time elapsed: 0.089 s
% 10.39/2.61  % (2224760)Peak memory usage: 13 MB
% 10.39/2.61  % (2224760)Instructions burned: 181 (million)
% 10.39/2.61  % TRYING [1]
% 10.39/2.61  % TRYING [2]
% 10.39/2.61  % TRYING [3]
% 10.39/2.61  % (2224766)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2156969041:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 10.39/2.61  % TRYING [4]
% 10.39/2.61  % TRYING [6]
% 10.39/2.61  % TRYING [5]
% 10.39/2.61  % (2224764)Instruction limit reached! 
% 10.39/2.61  % (2224764)------------------------------
% 10.39/2.61  % (2224764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/2.61  % (2224764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.61  % (2224764)CaDiCaL version: 2.1.3
% 10.39/2.61  % (2224764)Termination reason: Instruction limit
% 10.39/2.61  % (2224764)Termination phase: Finite model building SAT solving
% 10.39/2.61  % (2224764)Time elapsed: 0.178 s
% 10.39/2.61  % (2224764)Peak memory usage: 23 MB
% 10.39/2.61  % (2224764)Instructions burned: 872 (million)
% 10.39/2.61  % (2224768)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2673606666:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 10.39/2.61  % TRYING [14]
% 10.39/2.61  % (2224762)Instruction limit reached! 
% 10.39/2.61  % (2224762)------------------------------
% 10.39/2.61  % (2224762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/2.61  % (2224762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.61  % (2224762)CaDiCaL version: 2.1.3
% 10.39/2.61  % (2224762)Termination reason: Instruction limit
% 10.39/2.61  % (2224762)Termination phase: Saturation
% 10.39/2.61  % (2224762)Time elapsed: 0.304 s
% 10.39/2.61  % (2224762)Peak memory usage: 14 MB
% 10.39/2.61  % (2224762)Instructions burned: 478 (million)
% 10.39/2.61  % (2224757)Instruction limit reached! 
% 10.39/2.61  % (2224757)------------------------------
% 10.39/2.61  % (2224757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/2.61  % (2224757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.61  % (2224757)CaDiCaL version: 2.1.3
% 10.39/2.61  % (2224757)Termination reason: Instruction limit
% 10.39/2.61  % (2224757)Termination phase: Saturation
% 10.39/2.61  % (2224757)Time elapsed: 0.410 s
% 10.39/2.61  % (2224757)Peak memory usage: 19 MB
% 10.39/2.61  % (2224757)Instructions burned: 684 (million)
% 10.39/2.61  % (2224770)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=3702165697: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)
% 10.39/2.61  % (2224772)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2972211530:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 10.39/2.61  % (2224768)Instruction limit reached! 
% 10.39/2.61  % (2224768)------------------------------
% 10.39/2.61  % (2224768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/2.61  % (2224768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.61  % (2224768)CaDiCaL version: 2.1.3
% 10.39/2.61  % (2224768)Termination reason: Instruction limit
% 10.39/2.61  % (2224768)Termination phase: Finite model building constraint generation
% 10.39/2.61  % (2224768)Time elapsed: 0.179 s
% 10.39/2.61  % (2224768)Peak memory usage: 73 MB
% 10.39/2.61  % (2224768)Instructions burned: 894 (million)
% 10.39/2.61  % (2224774)fmb+10_1_sil=64000:random_seed=1146165940:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 10.39/2.61  % TRYING [1]
% 10.39/2.61  % TRYING [2]
% 10.39/2.61  % TRYING [3]
% 10.39/2.61  % TRYING [4]
% 10.39/2.61  % TRYING [5]
% 10.39/2.61  % TRYING [7]
% 10.39/2.61  % (2224770)Instruction limit reached! 
% 10.39/2.61  % (2224770)------------------------------
% 10.39/2.61  % (2224770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/2.61  % (2224770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.61  % (2224770)CaDiCaL version: 2.1.3
% 10.39/2.61  % (2224770)Termination reason: Instruction limit
% 10.39/2.61  % (2224770)Termination phase: Saturation
% 10.39/2.61  % (2224770)Time elapsed: 0.379 s
% 10.39/2.61  % (2224770)Peak memory usage: 22 MB
% 10.39/2.61  % (2224770)Instructions burned: 692 (million)
% 10.39/2.61  % (2224766)Instruction limit reached! 
% 10.39/2.61  % (2224766)------------------------------
% 10.39/2.61  % (2224766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/2.61  % (2224766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.61  % (2224766)CaDiCaL version: 2.1.3
% 10.39/2.61  % (2224766)Termination reason: Instruction limit
% 10.39/2.61  % (2224766)Termination phase: Saturation
% 10.39/2.61  % (2224766)Time elapsed: 0.657 s
% 10.39/2.61  % (2224766)Peak memory usage: 27 MB
% 10.39/2.61  % (2224766)Instructions burned: 1179 (million)
% 10.39/2.61  % (2224776)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=886615497:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 10.39/2.61  % (2224777)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2308659069:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 10.39/2.61  % TRYING [20]
% 10.39/2.61  % TRYING [8]
% 10.39/2.62  % TRYING [6]
% 10.39/2.62  % (2224772)Instruction limit reached! 
% 10.39/2.62  % (2224772)------------------------------
% 10.39/2.62  % (2224772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/2.62  % (2224772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.62  % (2224772)CaDiCaL version: 2.1.3
% 10.39/2.62  % (2224772)Termination reason: Instruction limit
% 10.39/2.62  % (2224772)Termination phase: Saturation
% 10.39/2.62  % (2224772)Time elapsed: 0.470 s
% 10.39/2.62  % (2224772)Peak memory usage: 21 MB
% 10.39/2.62  % (2224772)Instructions burned: 879 (million)
% 10.39/2.62  % (2224780)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1823631739:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 10.39/2.62  % (2224777)Instruction limit reached! 
% 10.39/2.62  % (2224777)------------------------------
% 10.39/2.62  % (2224777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/2.62  % (2224777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.62  % (2224777)CaDiCaL version: 2.1.3
% 10.39/2.62  % (2224777)Termination reason: Instruction limit
% 10.39/2.62  % (2224777)Termination phase: Finite model building constraint generation
% 10.39/2.62  % (2224777)Time elapsed: 0.331 s
% 10.39/2.62  % (2224777)Peak memory usage: 79 MB
% 10.39/2.62  % (2224777)Instructions burned: 920 (million)
% 10.39/2.62  % (2224782)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1562190186:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 10.39/2.62  % TRYING [7]
% 10.39/2.62  % (2224782)Instruction limit reached! 
% 10.39/2.62  % (2224782)------------------------------
% 10.39/2.62  % (2224782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/2.62  % (2224782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.62  % (2224782)CaDiCaL version: 2.1.3
% 10.39/2.62  % (2224782)Termination reason: Instruction limit
% 10.39/2.62  % (2224782)Termination phase: Saturation
% 10.39/2.62  % (2224782)Time elapsed: 0.647 s
% 10.39/2.62  % (2224782)Peak memory usage: 15 MB
% 10.39/2.62  % (2224782)Instructions burned: 1473 (million)
% 10.39/2.62  % TRYING [8]
% 10.39/2.62  % (2224784)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1696202573:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 10.39/2.62  % TRYING [77]
% 10.39/2.62  % (2224780) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2224735-2224780"...
% 10.39/2.62  % (2224780)...printing done.
% 10.39/2.62  % (2224780)Refutation found. Thanks to Tanya!
% 10.39/2.62  % SZS status Unsatisfiable for theBenchmark
% 10.39/2.62  % SZS output start Proof for theBenchmark
% See solution above
% 10.39/2.62  % (2224780)------------------------------
% 10.39/2.62  % (2224780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/2.62  % (2224780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.62  % (2224780)CaDiCaL version: 2.1.3
% 10.39/2.62  % (2224780)Termination reason: Refutation
% 10.39/2.62  % (2224780)Time elapsed: 1.108 s
% 10.39/2.62  % (2224780)Peak memory usage: 32 MB
% 10.39/2.62  % (2224780)Instructions burned: 2189 (million)
% 10.39/2.62  % (2224735)Success in time 2.198 s
% 10.39/2.62  % Vampire exiting
%------------------------------------------------------------------------------