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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC123-1 : 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 01:04:45 PM UTC 2026

% Result   : Unsatisfiable 45.16s 6.90s
% Output   : Refutation 45.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   51
% Syntax   : Number of formulae    :  228 (  47 unt;  14 def)
%            Number of atoms       :  655 (  82 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  709 ( 282   ~; 413   |;   0   &)
%                                         (  14 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   25 (  23 usr;  15 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   5 con; 0-2 aty)
%            Number of variables   :  201 (   0 sgn 201   !;   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(f50,axiom,
    ! [X0,X1] : ssList(skaf46(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause50) ).

fof(f51,axiom,
    ! [X0,X1] : ssList(skaf45(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).

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

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

fof(f59,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | rearsegP(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause59) ).

fof(f60,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | frontsegP(X0,nil) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause60) ).

fof(f64,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | equalelemsP(cons(X0,nil)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause64) ).

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

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

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

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

fof(f98,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) != nil
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).

fof(f99,plain,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    inference(reorient_equations,[],[f98]) ).

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

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

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

fof(f104,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | neq(X1,X0)
      | X1 = X0 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause102) ).

fof(f105,plain,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | neq(X1,X0)
      | X0 = X1 ),
    inference(reorient_equations,[],[f104]) ).

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(f142,axiom,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | app(skaf46(X0,X1),X1) = X0 ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).

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

fof(f192,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | X2 != X3
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X3)
      | ~ ssItem(X2)
      | frontsegP(cons(X2,X0),cons(X3,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause178) ).

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(f200,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f201,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

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

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

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

fof(f207,negated_conjecture,
    frontsegP(sk4,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f209,negated_conjecture,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ neq(sk3,X0)
      | ~ frontsegP(sk4,X0)
      | ~ segmentP(X0,sk3)
      | ~ equalelemsP(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f210,negated_conjecture,
    ( ~ neq(sk1,nil)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f211,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f200,f205]) ).

fof(f212,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f201,f204]) ).

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

fof(f214,plain,
    ( ~ neq(sk3,nil)
    | ~ segmentP(sk4,sk3) ),
    inference(definition_unfolding,[],[f210,f205,f204,f205]) ).

fof(f222,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ ssList(cons(X0,nil))
      | singletonP(cons(X0,nil)) ),
    inference(equality_resolution,[],[f119]) ).

fof(f231,plain,
    ! [X3,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssItem(X3)
      | ~ ssItem(X3)
      | frontsegP(cons(X3,X0),cons(X3,X1)) ),
    inference(equality_resolution,[],[f192]) ).

fof(f232,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(f244,plain,
    ~ ssList(nil),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f247,plain,
    singletonP(nil),
    inference(consistent_polarity_flipping,[],[f11]) ).

fof(f248,plain,
    ! [X0] : ~ ssItem(skaf83(X0)),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f249,plain,
    ! [X0] : ~ ssList(skaf82(X0)),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f286,plain,
    ! [X0,X1] : ~ ssList(skaf46(X0,X1)),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f287,plain,
    ! [X0,X1] : ~ ssList(skaf45(X0,X1)),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f291,plain,
    ! [X0] :
      ( segmentP(X0,nil)
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f292,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f57]) ).

fof(f294,plain,
    ! [X0] :
      ( ~ rearsegP(X0,X0)
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f295,plain,
    ! [X0] :
      ( ~ frontsegP(X0,nil)
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f60]) ).

fof(f299,plain,
    ! [X0] :
      ( ~ equalelemsP(cons(X0,nil))
      | ssItem(X0) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f307,plain,
    ! [X0,X1] :
      ( ssList(X0)
      | ~ duplicatefreeP(X0)
      | ~ ssItem(X1) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f309,plain,
    ! [X0] :
      ( ssList(X0)
      | app(nil,X0) = X0 ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f320,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X1,X0))
      | ssList(X1)
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f85]) ).

fof(f321,plain,
    ! [X0,X1] :
      ( ~ ssList(cons(X0,X1))
      | ssList(X1)
      | ssItem(X0) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f331,plain,
    ! [X0,X1] :
      ( ssItem(X0)
      | ssList(X1)
      | tl(cons(X0,X1)) = X1 ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f332,plain,
    ! [X0,X1] :
      ( ssItem(X0)
      | ssList(X1)
      | hd(cons(X0,X1)) = X0 ),
    inference(consistent_polarity_flipping,[],[f97]) ).

fof(f333,plain,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ssItem(X0)
      | ssList(X1) ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f335,plain,
    ! [X0,X1] :
      ( ~ neq(X1,X0)
      | ssList(X1)
      | ssList(X0)
      | X0 = X1 ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f336,plain,
    ! [X0] :
      ( singletonP(X0)
      | ssList(X0)
      | cons(skaf44(X0),nil) = X0 ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f337,plain,
    ! [X0,X1] :
      ( ~ neq(X1,X0)
      | ssItem(X1)
      | ssItem(X0)
      | X0 = X1 ),
    inference(consistent_polarity_flipping,[],[f105]) ).

fof(f339,plain,
    ! [X0] :
      ( ssList(X0)
      | cons(hd(X0),tl(X0)) = X0
      | nil = X0 ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f344,plain,
    ! [X0] :
      ( ssList(X0)
      | cons(skaf83(X0),skaf82(X0)) = X0
      | nil = X0 ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f351,plain,
    ! [X0] :
      ( ~ singletonP(cons(X0,nil))
      | ssList(cons(X0,nil))
      | ssItem(X0) ),
    inference(consistent_polarity_flipping,[],[f222]) ).

fof(f366,plain,
    ! [X0,X1] :
      ( rearsegP(X0,X1)
      | ssList(X1)
      | ssList(X0)
      | app(skaf46(X0,X1),X1) = X0 ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f367,plain,
    ! [X0,X1] :
      ( frontsegP(X0,X1)
      | ssList(X1)
      | ssList(X0)
      | app(X1,skaf45(X0,X1)) = X0 ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f407,plain,
    ! [X2,X3,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ssList(X2)
      | ssList(X3)
      | ssList(X1)
      | ssList(X0)
      | segmentP(app(app(X3,X0),X2),X1) ),
    inference(consistent_polarity_flipping,[],[f186]) ).

fof(f413,plain,
    ! [X3,X0,X1] :
      ( frontsegP(X0,X1)
      | ssList(X1)
      | ssList(X0)
      | ssItem(X3)
      | ssItem(X3)
      | ~ frontsegP(cons(X3,X0),cons(X3,X1)) ),
    inference(consistent_polarity_flipping,[],[f231]) ).

fof(f414,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(consistent_polarity_flipping,[],[f232]) ).

fof(f421,plain,
    ~ ssList(sk3),
    inference(consistent_polarity_flipping,[],[f211]) ).

fof(f422,plain,
    ~ ssList(sk4),
    inference(consistent_polarity_flipping,[],[f212]) ).

fof(f425,plain,
    ~ neq(sk4,nil),
    inference(consistent_polarity_flipping,[],[f213]) ).

fof(f426,plain,
    ~ frontsegP(sk4,sk3),
    inference(consistent_polarity_flipping,[],[f207]) ).

fof(f428,plain,
    ! [X0] :
      ( ~ segmentP(X0,sk3)
      | neq(sk3,X0)
      | frontsegP(sk4,X0)
      | ssList(X0)
      | equalelemsP(X0) ),
    inference(consistent_polarity_flipping,[],[f209]) ).

fof(f429,plain,
    ( neq(sk3,nil)
    | ~ segmentP(sk4,sk3) ),
    inference(consistent_polarity_flipping,[],[f214]) ).

fof(f430,plain,
    ! [X3,X0,X1] :
      ( ~ frontsegP(cons(X3,X0),cons(X3,X1))
      | ssList(X1)
      | ssList(X0)
      | ssItem(X3)
      | frontsegP(X0,X1) ),
    inference(duplicate_literal_removal,[],[f413]) ).

fof(f437,definition,
    ( spl0_1
  <=> segmentP(sk4,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f441,definition,
    ( spl0_2
  <=> neq(sk3,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f443,plain,
    ( neq(sk3,nil)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f444,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f429,f441,f437]) ).

fof(f450,definition,
    ( spl0_4
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f451,plain,
    ( ~ ssList(nil)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f478,definition,
    ( spl0_10
  <=> ! [X1] : ~ ssItem(X1) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f479,plain,
    ( ! [X1] : ~ ssItem(X1)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f481,definition,
    ( spl0_11
  <=> ! [X0] :
        ( ssList(X0)
        | ~ duplicatefreeP(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f482,plain,
    ( ! [X0] :
        ( ~ duplicatefreeP(X0)
        | ssList(X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f483,plain,
    ( spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f307,f481,f478]) ).

fof(f486,plain,
    ~ spl0_4,
    inference(avatar_split_clause,[],[f244,f450]) ).

fof(f497,plain,
    ( ! [X0] : ~ equalelemsP(cons(X0,nil))
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f299,f479]) ).

fof(f562,plain,
    sk3 = app(nil,sk3),
    inference(resolution,[],[f309,f421]) ).

fof(f589,plain,
    ( ! [X0,X1] :
        ( ~ ssList(cons(X0,X1))
        | ssList(X1) )
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f321,f479]) ).

fof(f596,plain,
    ( ! [X0,X1] :
        ( nil != cons(X0,X1)
        | ssList(X1) )
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f333,f479]) ).

fof(f599,plain,
    ( ! [X0,X1] :
        ( ssList(X1)
        | tl(cons(X0,X1)) = X1 )
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f331,f479]) ).

fof(f602,plain,
    ( ! [X0,X1] : skaf82(X1) = tl(cons(X0,skaf82(X1)))
    | ~ spl0_10 ),
    inference(resolution,[],[f599,f249]) ).

fof(f635,plain,
    ( ! [X0,X1] :
        ( ssList(X1)
        | hd(cons(X0,X1)) = X0 )
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f332,f479]) ).

fof(f669,plain,
    ( ! [X0] : hd(cons(X0,sk3)) = X0
    | ~ spl0_10 ),
    inference(resolution,[],[f635,f421]) ).

fof(f676,plain,
    ( ! [X0,X1] :
        ( ssItem(X0)
        | ~ neq(X1,X0)
        | X0 = X1 )
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f337,f479]) ).

fof(f677,plain,
    ( ! [X0,X1] :
        ( ~ neq(X1,X0)
        | X0 = X1 )
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f676,f479]) ).

fof(f699,plain,
    ( ! [X0] :
        ( ~ singletonP(cons(X0,nil))
        | ssList(cons(X0,nil)) )
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f351,f479]) ).

fof(f701,plain,
    ( ! [X0] :
        ( ssList(cons(X0,nil))
        | ssList(cons(X0,nil))
        | cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) )
    | ~ spl0_10 ),
    inference(resolution,[],[f699,f336]) ).

fof(f702,plain,
    ( ! [X0] :
        ( ssList(cons(X0,nil))
        | cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil) )
    | ~ spl0_10 ),
    inference(duplicate_literal_removal,[],[f701]) ).

fof(f735,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | nil = sk4 ),
    inference(resolution,[],[f339,f422]) ).

fof(f737,definition,
    ( spl0_12
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f739,plain,
    ( nil = sk4
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f741,definition,
    ( spl0_13
  <=> sk4 = cons(hd(sk4),tl(sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f743,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f741]) ).

fof(f744,plain,
    ( spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f735,f741,f737]) ).

fof(f746,definition,
    ( spl0_14
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f748,plain,
    ( nil = sk3
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f783,plain,
    ( ! [X0,X1] :
        ( cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1)))
        | nil = cons(X0,X1)
        | ssList(X1) )
    | ~ spl0_10 ),
    inference(resolution,[],[f344,f589]) ).

fof(f787,plain,
    ( sk4 = cons(skaf83(sk4),skaf82(sk4))
    | nil = sk4 ),
    inference(resolution,[],[f344,f422]) ).

fof(f789,definition,
    ( spl0_16
  <=> sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f791,plain,
    ( sk4 = cons(skaf83(sk4),skaf82(sk4))
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f792,plain,
    ( spl0_12
    | spl0_16 ),
    inference(avatar_split_clause,[],[f787,f789,f737]) ).

fof(f798,plain,
    ( ! [X0,X1] :
        ( ssList(X1)
        | cons(X0,X1) = cons(skaf83(cons(X0,X1)),skaf82(cons(X0,X1))) )
    | ~ spl0_10 ),
    inference(forward_subsumption_resolution,[],[f783,f596]) ).

fof(f859,plain,
    ( ! [X0] :
        ( ~ segmentP(X0,nil)
        | neq(nil,X0)
        | frontsegP(sk4,X0)
        | ssList(X0)
        | equalelemsP(X0) )
    | ~ spl0_14 ),
    inference(superposition,[],[f428,f748]) ).

fof(f866,plain,
    ( ! [X0] :
        ( neq(nil,X0)
        | frontsegP(sk4,X0)
        | ssList(X0)
        | equalelemsP(X0) )
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f859,f291]) ).

fof(f876,plain,
    ( neq(nil,nil)
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f443,f748]) ).

fof(f886,definition,
    ( spl0_18
  <=> ssList(tl(sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f887,plain,
    ( ~ ssList(tl(sk4))
    | spl0_18 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f1081,plain,
    ! [X0] :
      ( ssList(X0)
      | ssList(X0)
      | app(skaf46(X0,X0),X0) = X0
      | ssList(X0) ),
    inference(resolution,[],[f366,f294]) ).

fof(f1084,plain,
    ! [X0] :
      ( ssList(X0)
      | app(skaf46(X0,X0),X0) = X0 ),
    inference(duplicate_literal_removal,[],[f1081]) ).

fof(f1094,plain,
    ( ssList(sk3)
    | ssList(sk4)
    | sk4 = app(sk3,skaf45(sk4,sk3)) ),
    inference(resolution,[],[f367,f426]) ).

fof(f1101,plain,
    ( ssList(sk4)
    | sk4 = app(sk3,skaf45(sk4,sk3)) ),
    inference(forward_subsumption_resolution,[],[f1094,f421]) ).

fof(f1106,plain,
    sk4 = app(sk3,skaf45(sk4,sk3)),
    inference(forward_subsumption_resolution,[],[f1101,f422]) ).

fof(f1226,plain,
    ( ~ neq(nil,nil)
    | ~ spl0_12 ),
    inference(superposition,[],[f425,f739]) ).

fof(f1240,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f1226,f876]) ).

fof(f1241,plain,
    ( ~ spl0_2
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1240]) ).

fof(f2542,plain,
    ! [X2,X0,X1] :
      ( ssList(X0)
      | ssList(X1)
      | ssList(X2)
      | ssList(X2)
      | segmentP(app(app(X1,X2),X0),X2)
      | ssList(X2) ),
    inference(resolution,[],[f407,f292]) ).

fof(f2543,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X1,X2),X0),X2)
      | ssList(X1)
      | ssList(X2)
      | ssList(X0) ),
    inference(duplicate_literal_removal,[],[f2542]) ).

fof(f2888,plain,
    ( ! [X2,X3,X0,X1] :
        ( ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
        | ssList(X2)
        | ssList(X0)
        | ssItem(X1)
        | ssList(X3) )
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f414,f482]) ).

fof(f2928,definition,
    ( spl0_74
  <=> ! [X3] : ssList(X3) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f2929,plain,
    ( ! [X3] : ssList(X3)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f2928]) ).

fof(f2931,definition,
    ( spl0_75
  <=> ! [X2,X0,X1] :
        ( ssList(X0)
        | ssList(X1)
        | ssList(app(X1,cons(X2,X0)))
        | ssItem(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).

fof(f2932,plain,
    ( ! [X2,X0,X1] :
        ( ssList(app(X1,cons(X2,X0)))
        | ssList(X1)
        | ssList(X0)
        | ssItem(X2) )
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f2931]) ).

fof(f3978,plain,
    ( $false
    | ~ spl0_74 ),
    inference(backward_subsumption_resolution,[],[f422,f2929]) ).

fof(f4010,plain,
    ~ spl0_74,
    inference(avatar_contradiction_clause,[],[f3978]) ).

fof(f7144,plain,
    sk4 = app(skaf46(sk4,sk4),sk4),
    inference(resolution,[],[f1084,f422]) ).

fof(f11122,plain,
    ( ! [X0] :
        ( ssList(app(X0,sk4))
        | ssList(X0)
        | ssList(skaf82(sk4))
        | ssItem(skaf83(sk4)) )
    | ~ spl0_16
    | ~ spl0_75 ),
    inference(superposition,[],[f2932,f791]) ).

fof(f11138,plain,
    ( ! [X0] :
        ( ssList(app(X0,sk4))
        | ssList(X0)
        | ssItem(skaf83(sk4)) )
    | ~ spl0_16
    | ~ spl0_75 ),
    inference(forward_subsumption_resolution,[],[f11122,f249]) ).

fof(f11150,plain,
    ( ! [X0] :
        ( ssList(app(X0,sk4))
        | ssList(X0) )
    | ~ spl0_16
    | ~ spl0_75 ),
    inference(forward_subsumption_resolution,[],[f11138,f248]) ).

fof(f14418,plain,
    ! [X0] :
      ( segmentP(app(sk3,X0),sk3)
      | ssList(nil)
      | ssList(sk3)
      | ssList(X0) ),
    inference(superposition,[],[f2543,f562]) ).

fof(f14430,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),sk3)
        | ssList(sk3)
        | ssList(X0) )
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f14418,f451]) ).

fof(f14498,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),sk3)
        | ssList(X0) )
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f14430,f421]) ).

fof(f15172,plain,
    ( ! [X3,X0,X1] :
        ( ~ frontsegP(cons(X3,X0),cons(X3,X1))
        | ssList(X1)
        | ssList(X0)
        | frontsegP(X0,X1) )
    | ~ spl0_10 ),
    inference(backward_subsumption_resolution,[],[f430,f479]) ).

fof(f17426,plain,
    ( segmentP(sk4,sk3)
    | ssList(skaf45(sk4,sk3))
    | spl0_4 ),
    inference(superposition,[],[f14498,f1106]) ).

fof(f17437,plain,
    ( segmentP(sk4,sk3)
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f17426,f287]) ).

fof(f17438,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f17437,f450,f437]) ).

fof(f17461,plain,
    ( ssList(sk3)
    | ssList(nil)
    | nil = sk3
    | ~ spl0_2 ),
    inference(resolution,[],[f443,f335]) ).

fof(f17462,plain,
    ( ssList(nil)
    | nil = sk3
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f17461,f421]) ).

fof(f17465,plain,
    ( nil = sk3
    | ~ spl0_2
    | spl0_4 ),
    inference(forward_subsumption_resolution,[],[f17462,f451]) ).

fof(f17537,plain,
    ( spl0_14
    | ~ spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f17465,f450,f441,f746]) ).

fof(f18667,definition,
    ( spl0_389
  <=> ! [X0] :
        ( ssList(app(X0,sk4))
        | ssList(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_389])],[avatar_definition]) ).

fof(f18668,plain,
    ( ! [X0] :
        ( ssList(app(X0,sk4))
        | ssList(X0) )
    | ~ spl0_389 ),
    inference(avatar_component_clause,[],[f18667]) ).

fof(f19907,plain,
    ( ! [X2,X3,X0,X1] :
        ( ssList(X0)
        | ssList(X1)
        | ssItem(X2)
        | ssList(X3)
        | ssList(app(X1,cons(X2,X0)))
        | ssList(cons(X2,X3)) )
    | ~ spl0_11 ),
    inference(resolution,[],[f2888,f320]) ).

fof(f19920,plain,
    ( ! [X2,X3,X0,X1] :
        ( ssList(X0)
        | ssList(X1)
        | ssItem(X2)
        | ssList(X3)
        | ssList(app(X1,cons(X2,X0))) )
    | ~ spl0_11 ),
    inference(forward_subsumption_resolution,[],[f19907,f321]) ).

fof(f19927,plain,
    ( spl0_74
    | spl0_75
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f19920,f481,f2931,f2928]) ).

fof(f22558,plain,
    ( spl0_389
    | ~ spl0_16
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f11150,f2931,f789,f18667]) ).

fof(f22638,plain,
    ( ssList(sk4)
    | ssList(skaf46(sk4,sk4))
    | ~ spl0_389 ),
    inference(superposition,[],[f18668,f7144]) ).

fof(f22640,plain,
    ( ssList(skaf46(sk4,sk4))
    | ~ spl0_389 ),
    inference(forward_subsumption_resolution,[],[f22638,f422]) ).

fof(f22647,plain,
    ( $false
    | ~ spl0_389 ),
    inference(forward_subsumption_resolution,[],[f22640,f286]) ).

fof(f22648,plain,
    ~ spl0_389,
    inference(avatar_contradiction_clause,[],[f22647]) ).

fof(f22682,plain,
    ( ! [X0] : hd(cons(X0,nil)) = X0
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f669,f748]) ).

fof(f25960,plain,
    ( tl(sk4) = skaf82(sk4)
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(superposition,[],[f602,f791]) ).

fof(f25976,plain,
    ( ~ ssList(tl(sk4))
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(superposition,[],[f249,f25960]) ).

fof(f25978,plain,
    ( ~ spl0_18
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f25976,f789,f478,f886]) ).

fof(f26945,definition,
    ( spl0_647
  <=> nil = cons(hd(sk4),nil) ),
    introduced(definition,[new_symbols(definition,[spl0_647])],[avatar_definition]) ).

fof(f26946,plain,
    ( nil != cons(hd(sk4),nil)
    | spl0_647 ),
    inference(avatar_component_clause,[],[f26945]) ).

fof(f26947,plain,
    ( nil = cons(hd(sk4),nil)
    | ~ spl0_647 ),
    inference(avatar_component_clause,[],[f26945]) ).

fof(f26972,plain,
    ( ~ singletonP(nil)
    | ssList(nil)
    | ~ spl0_10
    | ~ spl0_647 ),
    inference(superposition,[],[f699,f26947]) ).

fof(f27037,plain,
    ( ssList(nil)
    | ~ spl0_10
    | ~ spl0_647 ),
    inference(forward_subsumption_resolution,[],[f26972,f247]) ).

fof(f27041,plain,
    ( $false
    | spl0_4
    | ~ spl0_10
    | ~ spl0_647 ),
    inference(forward_subsumption_resolution,[],[f27037,f451]) ).

fof(f27042,plain,
    ( spl0_4
    | ~ spl0_10
    | ~ spl0_647 ),
    inference(avatar_contradiction_clause,[],[f27041]) ).

fof(f32771,plain,
    ( ! [X0] : cons(X0,sk3) = cons(skaf83(cons(X0,sk3)),skaf82(cons(X0,sk3)))
    | ~ spl0_10 ),
    inference(resolution,[],[f798,f421]) ).

fof(f32773,plain,
    ( ! [X0] : cons(X0,nil) = cons(skaf83(cons(X0,nil)),skaf82(cons(X0,nil)))
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f32771,f748]) ).

fof(f67083,plain,
    ( ! [X0] :
        ( frontsegP(sk4,X0)
        | ssList(X0)
        | equalelemsP(X0)
        | nil = X0 )
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(resolution,[],[f866,f677]) ).

fof(f84839,plain,
    ( ! [X0] :
        ( ~ ssList(cons(X0,nil))
        | ssList(skaf82(cons(X0,nil))) )
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f589,f32773]) ).

fof(f84956,plain,
    ( ! [X0] : ~ ssList(cons(X0,nil))
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f84839,f249]) ).

fof(f85049,plain,
    ( ! [X0] : cons(X0,nil) = cons(skaf44(cons(X0,nil)),nil)
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(backward_subsumption_resolution,[],[f702,f84956]) ).

fof(f85997,plain,
    ( ! [X0] : hd(cons(X0,nil)) = skaf44(cons(X0,nil))
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f22682,f85049]) ).

fof(f86024,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(cons(skaf44(cons(X0,nil)),X1),cons(X0,nil))
        | ssList(nil)
        | ssList(X1)
        | frontsegP(X1,nil) )
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f15172,f85049]) ).

fof(f86112,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(cons(skaf44(cons(X0,nil)),X1),cons(X0,nil))
        | ssList(X1)
        | frontsegP(X1,nil) )
    | spl0_4
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f86024,f451]) ).

fof(f86116,plain,
    ( ! [X0] : skaf44(cons(X0,nil)) = X0
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f85997,f22682]) ).

fof(f86147,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(cons(skaf44(cons(X0,nil)),X1),cons(X0,nil))
        | ssList(X1) )
    | spl0_4
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f86112,f295]) ).

fof(f86454,plain,
    ( ! [X0,X1] :
        ( ~ frontsegP(cons(X0,X1),cons(X0,nil))
        | ssList(X1) )
    | spl0_4
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f86147,f86116]) ).

fof(f86535,plain,
    ( ~ frontsegP(sk4,cons(hd(sk4),nil))
    | ssList(tl(sk4))
    | spl0_4
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(superposition,[],[f86454,f743]) ).

fof(f86548,plain,
    ( ~ frontsegP(sk4,cons(hd(sk4),nil))
    | spl0_4
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_18 ),
    inference(forward_subsumption_resolution,[],[f86535,f887]) ).

fof(f235187,plain,
    ( ssList(cons(hd(sk4),nil))
    | equalelemsP(cons(hd(sk4),nil))
    | nil = cons(hd(sk4),nil)
    | spl0_4
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_18 ),
    inference(resolution,[],[f86548,f67083]) ).

fof(f235201,plain,
    ( equalelemsP(cons(hd(sk4),nil))
    | nil = cons(hd(sk4),nil)
    | spl0_4
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_18 ),
    inference(forward_subsumption_resolution,[],[f235187,f84956]) ).

fof(f235207,plain,
    ( nil = cons(hd(sk4),nil)
    | spl0_4
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_18 ),
    inference(forward_subsumption_resolution,[],[f235201,f497]) ).

fof(f235211,plain,
    ( $false
    | spl0_4
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_18
    | spl0_647 ),
    inference(forward_subsumption_resolution,[],[f235207,f26946]) ).

fof(f235212,plain,
    ( spl0_4
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_18
    | spl0_647 ),
    inference(avatar_contradiction_clause,[],[f235211]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f444]) ).

cnf(s8,plain,
    ( spl0_10
    | spl0_11 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s11,plain,
    ~ spl0_4,
    inference(sat_conversion,[],[f486]) ).

cnf(s12,plain,
    ( spl0_12
    | spl0_13 ),
    inference(sat_conversion,[],[f744]) ).

cnf(s14,plain,
    ( spl0_12
    | spl0_16 ),
    inference(sat_conversion,[],[f792]) ).

cnf(s27,plain,
    ( ~ spl0_2
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(sat_conversion,[],[f1241]) ).

cnf(s113,plain,
    ~ spl0_74,
    inference(sat_conversion,[],[f4010]) ).

cnf(s395,plain,
    ( spl0_1
    | spl0_4 ),
    inference(sat_conversion,[],[f17438]) ).

cnf(s403,plain,
    ( ~ spl0_2
    | spl0_4
    | spl0_14 ),
    inference(sat_conversion,[],[f17537]) ).

cnf(s667,plain,
    ( ~ spl0_11
    | spl0_74
    | spl0_75 ),
    inference(sat_conversion,[],[f19927]) ).

cnf(s824,plain,
    ( ~ spl0_16
    | ~ spl0_75
    | spl0_389 ),
    inference(sat_conversion,[],[f22558]) ).

cnf(s827,plain,
    ~ spl0_389,
    inference(sat_conversion,[],[f22648]) ).

cnf(s1195,plain,
    ( ~ spl0_10
    | ~ spl0_16
    | ~ spl0_18 ),
    inference(sat_conversion,[],[f25978]) ).

cnf(s1606,plain,
    ( spl0_4
    | ~ spl0_10
    | ~ spl0_647 ),
    inference(sat_conversion,[],[f27042]) ).

cnf(s6552,plain,
    ( spl0_4
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_14
    | spl0_18
    | spl0_647 ),
    inference(sat_conversion,[],[f235212]) ).

cnf(s6577,plain,
    ( ~ spl0_16
    | ~ spl0_75 ),
    inference(rat,[],[s824,s827]) ).

cnf(s6699,plain,
    spl0_1,
    inference(rat,[],[s395,s11]) ).

cnf(s6739,plain,
    spl0_2,
    inference(rat,[],[s1,s6699]) ).

cnf(s6740,plain,
    spl0_14,
    inference(rat,[],[s403,s11,s6739]) ).

cnf(s6741,plain,
    ~ spl0_12,
    inference(rat,[],[s27,s6740,s6739]) ).

cnf(s6787,plain,
    spl0_16,
    inference(rat,[],[s14,s6741]) ).

cnf(s6788,plain,
    spl0_13,
    inference(rat,[],[s12,s6741]) ).

cnf(s7231,plain,
    ~ spl0_75,
    inference(rat,[],[s6577,s6787]) ).

cnf(s7255,plain,
    ~ spl0_11,
    inference(rat,[],[s667,s113,s7231]) ).

cnf(s7261,plain,
    spl0_10,
    inference(rat,[],[s8,s7255]) ).

cnf(s7343,plain,
    ~ spl0_647,
    inference(rat,[],[s1606,s11,s7261]) ).

cnf(s7344,plain,
    ~ spl0_18,
    inference(rat,[],[s1195,s6787,s7261]) ).

cnf(s7760,plain,
    $false,
    inference(rat,[],[s6552,s7261,s6788,s6740,s11,s7343,s7344]) ).

fof(f235213,plain,
    $false,
    inference(avatar_sat_refutation,[],[s7760]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC123-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39  % Computer : n018.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Mon Sep 28 08:04:54 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42  Running first-order model finding
% 0.12/0.42  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
% 13.94/2.43  % (3218509)Will run a generic schedule for satisfiability detection.
% 13.94/2.43  % (3218520)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=112640569:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.94/2.43  % (3218515)% WARNING: option uhcvi not known.
% 13.94/2.43  % (3218514)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=71229227_2999 on theBenchmark for (2999ds/0Mi)
% 13.94/2.43  % (3218515)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=875915563:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.94/2.43  % (3218516)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3116290368:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.94/2.43  % (3218517)dis+10_1_sil=32000:sp=arity:random_seed=1053557150:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.94/2.43  % (3218518)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4288721242:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.94/2.43  % (3218519)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2456230733:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.94/2.43  % TRYING [1]
% 13.94/2.43  % TRYING [2]
% 13.94/2.43  % TRYING [3]
% 13.94/2.43  % TRYING [4]
% 13.94/2.43  % (3218520)Instruction limit reached! 
% 13.94/2.43  % (3218520)------------------------------
% 13.94/2.43  % (3218520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.94/2.43  % (3218520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.43  % (3218520)CaDiCaL version: 2.1.3
% 13.94/2.43  % (3218520)Termination reason: Instruction limit
% 13.94/2.43  % (3218520)Termination phase: Saturation
% 13.94/2.43  % (3218520)Time elapsed: 0.053 s
% 13.94/2.43  % (3218520)Peak memory usage: 14 MB
% 13.94/2.43  % (3218520)Instructions burned: 160 (million)
% 13.94/2.43  % (3218528)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2766496368:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.94/2.43  % (3218517)Instruction limit reached! 
% 13.94/2.43  % (3218517)------------------------------
% 13.94/2.43  % (3218517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.94/2.43  % (3218517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.43  % (3218517)CaDiCaL version: 2.1.3
% 13.94/2.43  % (3218517)Termination reason: Instruction limit
% 13.94/2.43  % (3218517)Termination phase: Saturation
% 13.94/2.43  % (3218517)Time elapsed: 0.060 s
% 13.94/2.43  % (3218517)Peak memory usage: 13 MB
% 13.94/2.43  % (3218517)Instructions burned: 104 (million)
% 13.94/2.43  % (3218518)Instruction limit reached! 
% 13.94/2.43  % (3218518)------------------------------
% 13.94/2.43  % (3218518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.94/2.43  % (3218518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.43  % (3218518)CaDiCaL version: 2.1.3
% 13.94/2.43  % (3218518)Termination reason: Instruction limit
% 13.94/2.43  % (3218518)Termination phase: Saturation
% 13.94/2.43  % (3218518)Time elapsed: 0.063 s
% 13.94/2.43  % (3218518)Peak memory usage: 13 MB
% 13.94/2.43  % (3218518)Instructions burned: 118 (million)
% 13.94/2.43  % TRYING [1]
% 13.94/2.43  % TRYING [2]
% 13.94/2.43  % TRYING [3]
% 13.94/2.43  % (3218519)Instruction limit reached! 
% 13.94/2.43  % (3218519)------------------------------
% 13.94/2.43  % (3218519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.94/2.43  % (3218519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.43  % (3218519)CaDiCaL version: 2.1.3
% 13.94/2.43  % (3218519)Termination reason: Instruction limit
% 13.94/2.43  % (3218519)Termination phase: Saturation
% 13.94/2.43  % (3218519)Time elapsed: 0.069 s
% 13.94/2.43  % (3218519)Peak memory usage: 14 MB
% 13.94/2.43  % (3218519)Instructions burned: 133 (million)
% 13.94/2.43  % TRYING [4]
% 13.94/2.43  % (3218530)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1061978585:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.94/2.43  % (3218531)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=2325639258:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.94/2.43  % (3218532)ott-21_1_sil=16000:fs=off:random_seed=2514002610:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.94/2.43  % TRYING [5]
% 13.94/2.43  % TRYING [5]
% 13.94/2.43  % (3218530)Instruction limit reached! 
% 13.94/2.43  % (3218530)------------------------------
% 13.94/2.43  % (3218530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.41/5.90  % (3218530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.41/5.90  % (3218530)CaDiCaL version: 2.1.3
% 37.41/5.90  % (3218530)Termination reason: Instruction limit
% 37.41/5.90  % (3218530)Termination phase: Saturation
% 37.41/5.90  % (3218530)Time elapsed: 0.068 s
% 37.41/5.90  % (3218530)Peak memory usage: 13 MB
% 37.41/5.90  % (3218530)Instructions burned: 132 (million)
% 37.41/5.90  % (3218536)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1082264482:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 37.41/5.90  % (3218532)Instruction limit reached! 
% 37.41/5.90  % (3218532)------------------------------
% 37.41/5.90  % (3218532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.41/5.90  % (3218532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.41/5.90  % (3218532)CaDiCaL version: 2.1.3
% 37.41/5.90  % (3218532)Termination reason: Instruction limit
% 37.41/5.90  % (3218532)Termination phase: Saturation
% 37.41/5.90  % (3218532)Time elapsed: 0.092 s
% 37.41/5.90  % (3218532)Peak memory usage: 13 MB
% 37.41/5.90  % (3218532)Instructions burned: 181 (million)
% 37.41/5.90  % (3218538)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2328787627:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 37.41/5.90  % TRYING [6]
% 37.41/5.90  % TRYING [1]
% 37.41/5.90  % (3218528)Instruction limit reached! 
% 37.41/5.90  % (3218528)------------------------------
% 37.41/5.90  % (3218528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.41/5.90  % (3218528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.41/5.90  % (3218528)CaDiCaL version: 2.1.3
% 37.41/5.90  % (3218528)Termination reason: Instruction limit
% 37.41/5.90  % (3218528)Termination phase: Finite model building constraint generation
% 37.41/5.90  % (3218528)Time elapsed: 0.152 s
% 37.41/5.90  % (3218528)Peak memory usage: 36 MB
% 37.41/5.90  % (3218528)Instructions burned: 719 (million)
% 37.41/5.90  % TRYING [2]
% 37.41/5.90  % TRYING [3]
% 37.41/5.90  % (3218540)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2055701795:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 37.41/5.90  % TRYING [4]
% 37.41/5.90  % TRYING [6]
% 37.41/5.90  % TRYING [5]
% 37.41/5.90  % (3218536)Instruction limit reached! 
% 37.41/5.90  % (3218536)------------------------------
% 37.41/5.90  % (3218536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.41/5.90  % (3218536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.41/5.90  % (3218536)CaDiCaL version: 2.1.3
% 37.41/5.90  % (3218536)Termination reason: Instruction limit
% 37.41/5.90  % (3218536)Termination phase: Saturation
% 37.41/5.90  % (3218536)Time elapsed: 0.317 s
% 37.41/5.90  % (3218536)Peak memory usage: 14 MB
% 37.41/5.90  % (3218536)Instructions burned: 477 (million)
% 37.41/5.90  % (3218531)Instruction limit reached! 
% 37.41/5.90  % (3218531)------------------------------
% 37.41/5.90  % (3218531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.41/5.90  % (3218531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.41/5.90  % (3218531)CaDiCaL version: 2.1.3
% 37.41/5.90  % (3218531)Termination reason: Instruction limit
% 37.41/5.90  % (3218531)Termination phase: Saturation
% 37.41/5.90  % (3218531)Time elapsed: 0.411 s
% 37.41/5.90  % (3218531)Peak memory usage: 18 MB
% 37.41/5.90  % (3218531)Instructions burned: 684 (million)
% 37.41/5.90  % (3218542)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=343726629:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 37.41/5.90  % (3218543)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=3110182150: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)
% 37.41/5.90  % (3218538)Instruction limit reached! 
% 37.41/5.90  % (3218538)------------------------------
% 37.41/5.90  % (3218538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.41/5.90  % (3218538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.41/5.90  % (3218538)CaDiCaL version: 2.1.3
% 37.41/5.90  % (3218538)Termination reason: Instruction limit
% 37.41/5.90  % (3218538)Termination phase: Finite model building SAT solving
% 37.41/5.90  % (3218538)Time elapsed: 0.335 s
% 37.41/5.90  % (3218538)Peak memory usage: 22 MB
% 37.41/5.90  % (3218538)Instructions burned: 867 (million)
% 37.41/5.90  % (3218546)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2384694830:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 37.41/5.90  % (3218540)Instruction limit reached! 
% 45.16/6.89  % (3218540)------------------------------
% 45.16/6.89  % (3218540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.16/6.89  % (3218540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.16/6.89  % (3218540)CaDiCaL version: 2.1.3
% 45.16/6.89  % (3218540)Termination reason: Instruction limit
% 45.16/6.89  % (3218540)Termination phase: Saturation
% 45.16/6.89  % (3218540)Time elapsed: 0.343 s
% 45.16/6.89  % (3218540)Peak memory usage: 28 MB
% 45.16/6.89  % (3218540)Instructions burned: 1180 (million)
% 45.16/6.89  % (3218548)fmb+10_1_sil=64000:random_seed=4100898078:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 45.16/6.89  % TRYING [1]
% 45.16/6.89  % TRYING [2]
% 45.16/6.89  % TRYING [3]
% 45.16/6.89  % TRYING [14]
% 45.16/6.89  % TRYING [4]
% 45.16/6.89  % TRYING [5]
% 45.16/6.89  % TRYING [7]
% 45.16/6.89  % (3218542)Instruction limit reached! 
% 45.16/6.89  % (3218542)------------------------------
% 45.16/6.89  % (3218542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.16/6.89  % (3218542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.16/6.89  % (3218542)CaDiCaL version: 2.1.3
% 45.16/6.89  % (3218542)Termination reason: Instruction limit
% 45.16/6.89  % (3218542)Termination phase: Finite model building constraint generation
% 45.16/6.89  % (3218542)Time elapsed: 0.326 s
% 45.16/6.89  % (3218542)Peak memory usage: 73 MB
% 45.16/6.89  % (3218542)Instructions burned: 891 (million)
% 45.16/6.89  % (3218551)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3375296041:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 45.16/6.89  % TRYING [20]
% 45.16/6.89  % TRYING [6]
% 45.16/6.89  % (3218543)Instruction limit reached! 
% 45.16/6.89  % (3218543)------------------------------
% 45.16/6.89  % (3218543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.16/6.89  % (3218543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.16/6.89  % (3218543)CaDiCaL version: 2.1.3
% 45.16/6.89  % (3218543)Termination reason: Instruction limit
% 45.16/6.89  % (3218543)Termination phase: Saturation
% 45.16/6.89  % (3218543)Time elapsed: 0.399 s
% 45.16/6.89  % (3218543)Peak memory usage: 23 MB
% 45.16/6.89  % (3218543)Instructions burned: 692 (million)
% 45.16/6.89  % (3218553)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=186411274:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 45.16/6.89  % TRYING [8]
% 45.16/6.89  % (3218546)Instruction limit reached! 
% 45.16/6.89  % (3218546)------------------------------
% 45.16/6.89  % (3218546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.16/6.89  % (3218546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.16/6.89  % (3218546)CaDiCaL version: 2.1.3
% 45.16/6.89  % (3218546)Termination reason: Instruction limit
% 45.16/6.89  % (3218546)Termination phase: Saturation
% 45.16/6.89  % (3218546)Time elapsed: 0.462 s
% 45.16/6.89  % (3218546)Peak memory usage: 21 MB
% 45.16/6.89  % (3218546)Instructions burned: 879 (million)
% 45.16/6.89  % (3218555)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2553193109:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 45.16/6.89  % (3218553)Instruction limit reached! 
% 45.16/6.89  % (3218553)------------------------------
% 45.16/6.89  % (3218553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.16/6.89  % (3218553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.16/6.89  % (3218553)CaDiCaL version: 2.1.3
% 45.16/6.89  % (3218553)Termination reason: Instruction limit
% 45.16/6.89  % (3218553)Termination phase: Finite model building constraint generation
% 45.16/6.89  % (3218553)Time elapsed: 0.331 s
% 45.16/6.89  % (3218553)Peak memory usage: 79 MB
% 45.16/6.89  % (3218553)Instructions burned: 921 (million)
% 45.16/6.89  % (3218557)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4262247231:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 45.16/6.89  % TRYING [7]
% 45.16/6.89  % TRYING [8]
% 45.16/6.89  % (3218557)Instruction limit reached! 
% 45.16/6.89  % (3218557)------------------------------
% 45.16/6.89  % (3218557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.16/6.89  % (3218557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.16/6.89  % (3218557)CaDiCaL version: 2.1.3
% 45.16/6.89  % (3218557)Termination reason: Instruction limit
% 45.16/6.89  % (3218557)Termination phase: Saturation
% 45.16/6.89  % (3218557)Time elapsed: 0.648 s
% 45.16/6.89  % (3218557)Peak memory usage: 15 MB
% 45.16/6.89  % (3218557)Instructions burned: 1473 (million)
% 45.16/6.89  % (3218559)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4112877566:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 45.16/6.89  % TRYING [77]
% 45.16/6.89  % TRYING [8]
% 45.16/6.89  % (3218555)Instruction limit reached! 
% 45.16/6.89  % (3218555)------------------------------
% 45.16/6.89  % (3218555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.16/6.89  % (3218555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.16/6.89  % (3218555)CaDiCaL version: 2.1.3
% 45.16/6.89  % (3218555)Termination reason: Instruction limit
% 45.16/6.89  % (3218555)Termination phase: Saturation
% 45.16/6.89  % (3218555)Time elapsed: 2.652 s
% 45.16/6.89  % (3218555)Peak memory usage: 51 MB
% 45.16/6.89  % (3218555)Instructions burned: 5132 (million)
% 45.16/6.89  % (3218561)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=709924232:fmbsr=2.30978:i=2174_2962 on theBenchmark for (2962ds/2174Mi)
% 45.16/6.89  % TRYING [9]
% 45.16/6.89  % TRYING [16]
% 45.16/6.89  % (3218551)Instruction limit reached! 
% 45.16/6.89  % (3218551)------------------------------
% 45.16/6.89  % (3218551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.16/6.89  % (3218551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.16/6.90  % (3218551)CaDiCaL version: 2.1.3
% 45.16/6.90  % (3218551)Termination reason: Instruction limit
% 45.16/6.90  % (3218551)Termination phase: Finite model building constraint generation
% 45.16/6.90  % (3218551)Time elapsed: 3.259 s
% 45.16/6.90  % (3218551)Peak memory usage: 588 MB
% 45.16/6.90  % (3218551)Instructions burned: 9517 (million)
% 45.16/6.90  % (3218559)Instruction limit reached! 
% 45.16/6.90  % (3218559)------------------------------
% 45.16/6.90  % (3218559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.16/6.90  % (3218559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.16/6.90  % (3218559)CaDiCaL version: 2.1.3
% 45.16/6.90  % (3218559)Termination reason: Instruction limit
% 45.16/6.90  % (3218559)Termination phase: Finite model building constraint generation
% 45.16/6.90  % (3218559)Time elapsed: 2.212 s
% 45.16/6.90  % (3218559)Peak memory usage: 407 MB
% 45.16/6.90  % (3218559)Instructions burned: 6325 (million)
% 45.16/6.90  % (3218563)ott-2_1_sil=16000:newcnf=on:random_seed=3308643939:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2957 on theBenchmark for (2957ds/869Mi)
% 45.16/6.90  % (3218565)ott+10_1_sil=32000:tgt=ground:random_seed=3401632639:i=5114:av=off_2957 on theBenchmark for (2957ds/5114Mi)
% 45.16/6.90  % (3218561)Instruction limit reached! 
% 45.16/6.90  % (3218561)------------------------------
% 45.16/6.90  % (3218561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.16/6.90  % (3218561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.16/6.90  % (3218561)CaDiCaL version: 2.1.3
% 45.16/6.90  % (3218561)Termination reason: Instruction limit
% 45.16/6.90  % (3218561)Termination phase: Finite model building constraint generation
% 45.16/6.90  % (3218561)Time elapsed: 0.752 s
% 45.16/6.90  % (3218561)Peak memory usage: 138 MB
% 45.16/6.90  % (3218561)Instructions burned: 2176 (million)
% 45.16/6.90  % TRYING [9]
% 45.16/6.90  % (3218567)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1445197743:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 45.16/6.90  % TRYING [1]
% 45.16/6.90  % TRYING [2]
% 45.16/6.90  % TRYING [3]
% 45.16/6.90  % TRYING [4]
% 45.16/6.90  % TRYING [5]
% 45.16/6.90  % (3218563)Instruction limit reached! 
% 45.16/6.90  % (3218563)------------------------------
% 45.16/6.90  % (3218563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.16/6.90  % (3218563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.16/6.90  % (3218563)CaDiCaL version: 2.1.3
% 45.16/6.90  % (3218563)Termination reason: Instruction limit
% 45.16/6.90  % (3218563)Termination phase: Saturation
% 45.16/6.90  % (3218563)Time elapsed: 0.469 s
% 45.16/6.90  % (3218563)Peak memory usage: 25 MB
% 45.16/6.90  % (3218563)Instructions burned: 869 (million)
% 45.16/6.90  % (3218569)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3497097901:i=3512:aac=none_2952 on theBenchmark for (2952ds/3512Mi)
% 45.16/6.90  % TRYING [6]
% 45.16/6.90  % TRYING [7]
% 45.16/6.90  % (3218548)Instruction limit reached! 
% 45.16/6.90  % (3218548)------------------------------
% 45.16/6.90  % (3218548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.16/6.90  % (3218548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.16/6.90  % (3218548)CaDiCaL version: 2.1.3
% 45.16/6.90  % (3218548)Termination reason: Instruction limit
% 45.16/6.90  % (3218548)Termination phase: Finite model building SAT solving
% 45.16/6.90  % (3218548)Time elapsed: 4.848 s
% 45.16/6.90  % (3218548)Peak memory usage: 245 MB
% 45.16/6.90  % (3218548)Instructions burned: 22063 (million)
% 45.16/6.90  % (3218571)dis+21_1_sil=32000:sas=cadical:random_seed=2263593798:i=3773:amm=off_2945 on theBenchmark for (2945ds/3773Mi)
% 45.16/6.90  % TRYING [8]
% 45.16/6.90  % (3218515) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3218509-3218515"...
% 45.16/6.90  % (3218515)...printing done.
% 45.16/6.90  % (3218515)Refutation found. Thanks to Tanya!
% 45.16/6.90  % SZS status Unsatisfiable for theBenchmark
% 45.16/6.90  % SZS output start Proof for theBenchmark
% See solution above
% 45.69/6.90  % (3218515)------------------------------
% 45.69/6.90  % (3218515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.69/6.90  % (3218515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.69/6.90  % (3218515)CaDiCaL version: 2.1.3
% 45.69/6.90  % (3218515)Termination reason: Refutation
% 45.69/6.90  % (3218515)Time elapsed: 6.364 s
% 45.69/6.90  % (3218515)Peak memory usage: 112 MB
% 45.69/6.90  % (3218515)Instructions burned: 12074 (million)
% 45.69/6.90  % (3218509)Success in time 6.467 s
% 45.69/6.90  % Vampire exiting
%------------------------------------------------------------------------------