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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWC099-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:04:40 PM UTC 2026

% Result   : Unsatisfiable 9.08s 3.16s
% Output   : Refutation 9.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   54
% Syntax   : Number of formulae    :  249 (  37 unt;  19 def)
%            Number of atoms       :  765 (  90 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  806 ( 290   ~; 497   |;   0   &)
%                                         (  19 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   30 (  28 usr;  20 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :  146 (   0 sgn 146   !;   0   ?)

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

fof(f9,axiom,
    ssItem(skac3),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause9) ).

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

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

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

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

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

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).

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

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

fof(f75,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | ssList(tl(X0))
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause75) ).

fof(f76,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | ssItem(hd(X0))
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause76) ).

fof(f83,axiom,
    ! [X0] :
      ( nil != X0
      | ~ ssList(X0)
      | frontsegP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause83) ).

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(X0)
      | ~ ssList(X1)
      | ssList(app(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).

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

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

fof(f101,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | neq(X1,X0)
      | X1 = X0 ),
    file('/export/starexec/sandbox/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(f104,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssItem(X1)
      | neq(X1,X0)
      | X1 = X0 ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).

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

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

fof(f148,axiom,
    ! [X2,X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | frontsegP(app(X0,X2),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause137) ).

fof(f149,axiom,
    ! [X2,X0,X1] :
      ( X0 != X1
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0)
      | memberP(cons(X1,X2),X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause138) ).

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

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

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

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,
    frontsegP(sk4,sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f208,negated_conjecture,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ neq(sk3,X0)
      | ~ frontsegP(sk4,X0)
      | ~ segmentP(X0,sk3)
      | ~ equalelemsP(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

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

fof(f211,negated_conjecture,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f212,negated_conjecture,
    ( nil != sk1
    | ~ neq(sk1,nil)
    | ~ frontsegP(sk2,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f213,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f200,f205]) ).

fof(f214,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f201,f204]) ).

fof(f216,plain,
    ( nil = sk4
    | ~ neq(sk3,nil)
    | ~ frontsegP(sk4,sk3) ),
    inference(definition_unfolding,[],[f210,f204,f205,f204,f205]) ).

fof(f217,plain,
    ( nil != sk3
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f211,f205,f204]) ).

fof(f218,plain,
    ( nil != sk3
    | ~ neq(sk3,nil)
    | ~ frontsegP(sk4,sk3) ),
    inference(definition_unfolding,[],[f212,f205,f205,f204,f205]) ).

fof(f221,plain,
    ( ~ ssList(nil)
    | frontsegP(nil,nil) ),
    inference(equality_resolution,[],[f83]) ).

fof(f226,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ~ ssList(cons(X0,nil))
      | singletonP(cons(X0,nil)) ),
    inference(equality_resolution,[],[f119]) ).

fof(f228,plain,
    ! [X2,X1] :
      ( ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X1)
      | memberP(cons(X1,X2),X1) ),
    inference(equality_resolution,[],[f149]) ).

fof(f235,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(f236,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(f246,plain,
    ~ ssList(nil),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f247,plain,
    ~ ssItem(skac3),
    inference(consistent_polarity_flipping,[],[f9]) ).

fof(f249,plain,
    singletonP(nil),
    inference(consistent_polarity_flipping,[],[f11]) ).

fof(f250,plain,
    ! [X0] : ~ ssItem(skaf83(X0)),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f251,plain,
    ! [X0] : ~ ssList(skaf82(X0)),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f293,plain,
    ! [X0] :
      ( ~ segmentP(X0,nil)
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f301,plain,
    ! [X0] :
      ( equalelemsP(cons(X0,nil))
      | ssItem(X0) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f308,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ssItem(X0) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f309,plain,
    ! [X0,X1] :
      ( ssList(X0)
      | duplicatefreeP(X0)
      | ~ ssItem(X1) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f311,plain,
    ! [X0] :
      ( ssList(X0)
      | app(nil,X0) = X0 ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f312,plain,
    ! [X0] :
      ( ~ ssList(tl(X0))
      | ssList(X0)
      | nil = X0 ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f313,plain,
    ! [X0] :
      ( ~ ssItem(hd(X0))
      | ssList(X0)
      | nil = X0 ),
    inference(consistent_polarity_flipping,[],[f76]) ).

fof(f320,plain,
    ( ssList(nil)
    | ~ frontsegP(nil,nil) ),
    inference(consistent_polarity_flipping,[],[f221]) ).

fof(f321,plain,
    ! [X0] :
      ( frontsegP(nil,X0)
      | ssList(X0)
      | nil = X0 ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f322,plain,
    ! [X0,X1] :
      ( ~ ssList(app(X1,X0))
      | ssList(X1)
      | ssList(X0) ),
    inference(consistent_polarity_flipping,[],[f85]) ).

fof(f323,plain,
    ! [X0,X1] :
      ( ~ ssList(cons(X0,X1))
      | ssList(X1)
      | ssItem(X0) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f333,plain,
    ! [X0,X1] :
      ( ssItem(X0)
      | ssList(X1)
      | tl(cons(X0,X1)) = X1 ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f337,plain,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ssList(X1)
      | ssList(X0)
      | X0 = X1 ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f339,plain,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ssItem(X1)
      | ssItem(X0)
      | X0 = X1 ),
    inference(consistent_polarity_flipping,[],[f105]) ).

fof(f341,plain,
    ! [X0] :
      ( ssList(X0)
      | cons(hd(X0),tl(X0)) = X0
      | nil = X0 ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f346,plain,
    ! [X0] :
      ( ssList(X0)
      | cons(skaf83(X0),skaf82(X0)) = X0
      | nil = X0 ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f353,plain,
    ! [X0] :
      ( ~ singletonP(cons(X0,nil))
      | ssList(cons(X0,nil))
      | ssItem(X0) ),
    inference(consistent_polarity_flipping,[],[f226]) ).

fof(f374,plain,
    ! [X2,X0,X1] :
      ( ~ frontsegP(app(X0,X2),X1)
      | ssList(X2)
      | ssList(X1)
      | ssList(X0)
      | frontsegP(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f375,plain,
    ! [X2,X1] :
      ( ssList(X2)
      | ssItem(X1)
      | ssItem(X1)
      | memberP(cons(X1,X2),X1) ),
    inference(consistent_polarity_flipping,[],[f228]) ).

fof(f415,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,[],[f235]) ).

fof(f416,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,[],[f236]) ).

fof(f423,plain,
    ~ ssList(sk3),
    inference(consistent_polarity_flipping,[],[f213]) ).

fof(f424,plain,
    ~ ssList(sk4),
    inference(consistent_polarity_flipping,[],[f214]) ).

fof(f427,plain,
    ~ frontsegP(sk4,sk3),
    inference(consistent_polarity_flipping,[],[f206]) ).

fof(f428,plain,
    ! [X0] :
      ( ~ neq(sk3,X0)
      | ssList(X0)
      | frontsegP(sk4,X0)
      | segmentP(X0,sk3)
      | ~ equalelemsP(X0) ),
    inference(consistent_polarity_flipping,[],[f208]) ).

fof(f429,plain,
    ( nil = sk4
    | ~ neq(sk3,nil)
    | frontsegP(sk4,sk3) ),
    inference(consistent_polarity_flipping,[],[f216]) ).

fof(f430,plain,
    ( nil != sk3
    | ~ neq(sk3,nil)
    | frontsegP(sk4,sk3) ),
    inference(consistent_polarity_flipping,[],[f218]) ).

fof(f431,plain,
    ! [X3,X0,X1] :
      ( ~ frontsegP(cons(X3,X0),cons(X3,X1))
      | ssList(X1)
      | ssList(X0)
      | ssItem(X3)
      | frontsegP(X0,X1) ),
    inference(duplicate_literal_removal,[],[f415]) ).

fof(f433,plain,
    ! [X2,X1] :
      ( memberP(cons(X1,X2),X1)
      | ssItem(X1)
      | ssList(X2) ),
    inference(duplicate_literal_removal,[],[f375]) ).

fof(f438,definition,
    ( spl0_1
  <=> frontsegP(sk4,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f439,plain,
    ( ~ frontsegP(sk4,sk3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f442,definition,
    ( spl0_2
  <=> neq(sk3,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f444,plain,
    ( ~ neq(sk3,nil)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f446,definition,
    ( spl0_3
  <=> nil = sk3 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f447,plain,
    ( nil = sk3
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f448,plain,
    ( nil != sk3
    | spl0_3 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f449,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f430,f446,f442,f438]) ).

fof(f451,definition,
    ( spl0_4
  <=> neq(sk4,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f453,plain,
    ( neq(sk4,nil)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f454,plain,
    ( spl0_4
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f217,f446,f451]) ).

fof(f456,definition,
    ( spl0_5
  <=> nil = sk4 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f457,plain,
    ( nil != sk4
    | spl0_5 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f458,plain,
    ( nil = sk4
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f459,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f429,f456,f442,f438]) ).

fof(f461,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f427,f438]) ).

fof(f467,definition,
    ( spl0_7
  <=> ssList(nil) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f468,plain,
    ( ~ ssList(nil)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f480,definition,
    ( spl0_10
  <=> frontsegP(nil,nil) ),
    introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).

fof(f482,plain,
    ( ~ frontsegP(nil,nil)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f483,plain,
    ( ~ spl0_10
    | spl0_7 ),
    inference(avatar_split_clause,[],[f320,f467,f480]) ).

fof(f495,definition,
    ( spl0_13
  <=> ! [X1] : ~ ssItem(X1) ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f496,plain,
    ( ! [X1] : ~ ssItem(X1)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f498,definition,
    ( spl0_14
  <=> ! [X0] :
        ( ssList(X0)
        | duplicatefreeP(X0) ) ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f499,plain,
    ( ! [X0] :
        ( duplicatefreeP(X0)
        | ssList(X0) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f500,plain,
    ( spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f309,f498,f495]) ).

fof(f503,plain,
    ~ spl0_7,
    inference(avatar_split_clause,[],[f246,f467]) ).

fof(f509,plain,
    ( ! [X0] : equalelemsP(cons(X0,nil))
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f301,f496]) ).

fof(f699,plain,
    ( ssList(sk3)
    | ssList(nil)
    | nil = sk3
    | spl0_2 ),
    inference(resolution,[],[f337,f444]) ).

fof(f705,plain,
    ( ssList(nil)
    | nil = sk3
    | spl0_2 ),
    inference(forward_subsumption_resolution,[],[f699,f423]) ).

fof(f706,plain,
    ( nil = sk3
    | spl0_2
    | spl0_7 ),
    inference(forward_subsumption_resolution,[],[f705,f468]) ).

fof(f707,plain,
    ( spl0_3
    | spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f706,f467,f442,f446]) ).

fof(f728,plain,
    ( ~ neq(nil,nil)
    | spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f444,f447]) ).

fof(f735,plain,
    ( ~ frontsegP(nil,sk3)
    | spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f439,f458]) ).

fof(f736,plain,
    ( neq(nil,nil)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f453,f458]) ).

fof(f743,plain,
    ( ! [X0,X1] :
        ( ssItem(X0)
        | neq(X1,X0)
        | X0 = X1 )
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f339,f496]) ).

fof(f744,plain,
    ( ! [X0,X1] :
        ( neq(X1,X0)
        | X0 = X1 )
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f743,f496]) ).

fof(f745,plain,
    ( ! [X0] :
        ( sk3 = X0
        | ssList(X0)
        | frontsegP(sk4,X0)
        | segmentP(X0,sk3)
        | ~ equalelemsP(X0) )
    | ~ spl0_13 ),
    inference(resolution,[],[f744,f428]) ).

fof(f748,plain,
    ( ! [X0] :
        ( nil = X0
        | ssList(X0)
        | frontsegP(sk4,X0)
        | segmentP(X0,sk3)
        | ~ equalelemsP(X0) )
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f745,f447]) ).

fof(f749,plain,
    ( ! [X0] :
        ( segmentP(X0,nil)
        | nil = X0
        | ssList(X0)
        | frontsegP(sk4,X0)
        | ~ equalelemsP(X0) )
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f748,f447]) ).

fof(f750,plain,
    ( ! [X0] :
        ( ~ equalelemsP(X0)
        | ssList(X0)
        | frontsegP(sk4,X0)
        | nil = X0 )
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_subsumption_resolution,[],[f749,f293]) ).

fof(f760,plain,
    ( ! [X0] :
        ( frontsegP(sk4,cons(X0,nil))
        | ssList(cons(X0,nil))
        | nil = cons(X0,nil) )
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(resolution,[],[f750,f509]) ).

fof(f811,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | nil = sk4 ),
    inference(resolution,[],[f341,f424]) ).

fof(f819,definition,
    ( spl0_17
  <=> ssList(tl(sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f820,plain,
    ( ~ ssList(tl(sk4))
    | spl0_17 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f821,plain,
    ( ssList(tl(sk4))
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f835,definition,
    ( spl0_20
  <=> sk4 = cons(hd(sk4),tl(sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f837,plain,
    ( sk4 = cons(hd(sk4),tl(sk4))
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f838,plain,
    ( spl0_5
    | spl0_20 ),
    inference(avatar_split_clause,[],[f811,f835,f456]) ).

fof(f893,plain,
    ! [X0] :
      ( ssList(X0)
      | nil = tl(X0)
      | tl(X0) = cons(skaf83(tl(X0)),skaf82(tl(X0)))
      | nil = X0 ),
    inference(resolution,[],[f346,f312]) ).

fof(f968,plain,
    ( ssList(sk3)
    | nil = sk3
    | spl0_1
    | ~ spl0_5 ),
    inference(resolution,[],[f735,f321]) ).

fof(f969,plain,
    ( nil = sk3
    | spl0_1
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f968,f423]) ).

fof(f970,plain,
    ( $false
    | spl0_1
    | spl0_3
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f969,f448]) ).

fof(f971,plain,
    ( spl0_1
    | spl0_3
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f970]) ).

fof(f978,definition,
    ( spl0_22
  <=> sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f980,plain,
    ( sk4 = cons(skaf83(sk4),skaf82(sk4))
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f978]) ).

fof(f1037,definition,
    ( spl0_26
  <=> ssItem(hd(sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f1038,plain,
    ( ~ ssItem(hd(sk4))
    | spl0_26 ),
    inference(avatar_component_clause,[],[f1037]) ).

fof(f1039,plain,
    ( ssItem(hd(sk4))
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f1037]) ).

fof(f1054,plain,
    ! [X0] :
      ( ssList(X0)
      | tl(cons(skac3,X0)) = X0 ),
    inference(resolution,[],[f333,f247]) ).

fof(f1578,plain,
    ( ssList(sk4)
    | nil = sk4
    | ~ spl0_17 ),
    inference(resolution,[],[f821,f312]) ).

fof(f1579,plain,
    ( nil = sk4
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f1578,f424]) ).

fof(f1580,plain,
    ( $false
    | spl0_5
    | ~ spl0_17 ),
    inference(forward_subsumption_resolution,[],[f1579,f457]) ).

fof(f1581,plain,
    ( spl0_5
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f1580]) ).

fof(f1584,plain,
    ( tl(sk4) = app(nil,tl(sk4))
    | spl0_17 ),
    inference(resolution,[],[f820,f311]) ).

fof(f1607,plain,
    ( ssList(sk4)
    | nil = sk4
    | ~ spl0_26 ),
    inference(resolution,[],[f1039,f313]) ).

fof(f1608,plain,
    ( nil = sk4
    | ~ spl0_26 ),
    inference(forward_subsumption_resolution,[],[f1607,f424]) ).

fof(f2204,plain,
    ( ! [X0] :
        ( ~ frontsegP(sk4,cons(hd(sk4),X0))
        | ssList(X0)
        | ssList(tl(sk4))
        | ssItem(hd(sk4))
        | frontsegP(tl(sk4),X0) )
    | ~ spl0_20 ),
    inference(superposition,[],[f431,f837]) ).

fof(f2215,plain,
    ( ! [X0] :
        ( ~ frontsegP(sk4,cons(hd(sk4),X0))
        | ssList(X0)
        | ssItem(hd(sk4))
        | frontsegP(tl(sk4),X0) )
    | spl0_17
    | ~ spl0_20 ),
    inference(forward_subsumption_resolution,[],[f2204,f820]) ).

fof(f2224,plain,
    ( ! [X0] :
        ( ~ frontsegP(sk4,cons(hd(sk4),X0))
        | ssList(X0)
        | frontsegP(tl(sk4),X0) )
    | spl0_17
    | ~ spl0_20
    | spl0_26 ),
    inference(forward_subsumption_resolution,[],[f2215,f1038]) ).

fof(f2797,plain,
    ( ! [X2,X3,X0,X1] :
        ( ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
        | ssList(X2)
        | ssList(X0)
        | ssItem(X1)
        | ssList(X3) )
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f416,f499]) ).

fof(f2813,definition,
    ( spl0_49
  <=> ! [X3] : ssList(X3) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f2814,plain,
    ( ! [X3] : ssList(X3)
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f2813]) ).

fof(f2816,definition,
    ( spl0_50
  <=> ! [X2,X0,X1] :
        ( ssList(X0)
        | ssList(X1)
        | ssList(app(X1,cons(X2,X0)))
        | ssItem(X2) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f2817,plain,
    ( ! [X2,X0,X1] :
        ( ssList(app(X1,cons(X2,X0)))
        | ssList(X1)
        | ssList(X0)
        | ssItem(X2) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f2816]) ).

fof(f3011,plain,
    ( ! [X0] :
        ( ~ frontsegP(tl(sk4),X0)
        | ssList(tl(sk4))
        | ssList(X0)
        | ssList(nil)
        | frontsegP(nil,X0) )
    | spl0_17 ),
    inference(superposition,[],[f374,f1584]) ).

fof(f3026,plain,
    ( ! [X0] :
        ( ~ frontsegP(tl(sk4),X0)
        | ssList(X0)
        | ssList(nil)
        | frontsegP(nil,X0) )
    | spl0_17 ),
    inference(forward_subsumption_resolution,[],[f3011,f820]) ).

fof(f3033,plain,
    ( ! [X0] :
        ( ~ frontsegP(tl(sk4),X0)
        | ssList(X0)
        | frontsegP(nil,X0) )
    | spl0_7
    | spl0_17 ),
    inference(forward_subsumption_resolution,[],[f3026,f468]) ).

fof(f7074,definition,
    ( spl0_85
  <=> nil = cons(hd(sk4),nil) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f7075,plain,
    ( nil != cons(hd(sk4),nil)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f7074]) ).

fof(f7076,plain,
    ( nil = cons(hd(sk4),nil)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f7074]) ).

fof(f7078,definition,
    ( spl0_86
  <=> ssList(cons(hd(sk4),nil)) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f7079,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | spl0_86 ),
    inference(avatar_component_clause,[],[f7078]) ).

fof(f7080,plain,
    ( ssList(cons(hd(sk4),nil))
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f7078]) ).

fof(f7154,plain,
    ( ssList(nil)
    | ssItem(hd(sk4))
    | ~ spl0_86 ),
    inference(resolution,[],[f7080,f323]) ).

fof(f7155,plain,
    ( ssItem(hd(sk4))
    | spl0_7
    | ~ spl0_86 ),
    inference(forward_subsumption_resolution,[],[f7154,f468]) ).

fof(f7156,plain,
    ( $false
    | spl0_7
    | spl0_26
    | ~ spl0_86 ),
    inference(forward_subsumption_resolution,[],[f7155,f1038]) ).

fof(f7157,plain,
    ( spl0_7
    | spl0_26
    | ~ spl0_86 ),
    inference(avatar_contradiction_clause,[],[f7156]) ).

fof(f7596,plain,
    ( ~ singletonP(nil)
    | ssList(nil)
    | ssItem(hd(sk4))
    | ~ spl0_85 ),
    inference(superposition,[],[f353,f7076]) ).

fof(f7609,plain,
    ( ssList(nil)
    | ssItem(hd(sk4))
    | ~ spl0_85 ),
    inference(forward_subsumption_resolution,[],[f7596,f249]) ).

fof(f7615,plain,
    ( ssItem(hd(sk4))
    | spl0_7
    | ~ spl0_85 ),
    inference(forward_subsumption_resolution,[],[f7609,f468]) ).

fof(f7618,plain,
    ( $false
    | spl0_7
    | spl0_26
    | ~ spl0_85 ),
    inference(forward_subsumption_resolution,[],[f7615,f1038]) ).

fof(f7619,plain,
    ( spl0_7
    | spl0_26
    | ~ spl0_85 ),
    inference(avatar_contradiction_clause,[],[f7618]) ).

fof(f8309,plain,
    ( ! [X2,X3,X0,X1] :
        ( ssList(X0)
        | ssList(X1)
        | ssItem(X2)
        | ssList(X3)
        | ssList(app(X1,cons(X2,X0)))
        | ssList(cons(X2,X3)) )
    | ~ spl0_14 ),
    inference(resolution,[],[f2797,f322]) ).

fof(f8322,plain,
    ( ! [X2,X3,X0,X1] :
        ( ssList(X0)
        | ssList(X1)
        | ssItem(X2)
        | ssList(X3)
        | ssList(app(X1,cons(X2,X0))) )
    | ~ spl0_14 ),
    inference(forward_subsumption_resolution,[],[f8309,f323]) ).

fof(f8495,plain,
    ( $false
    | ~ spl0_49 ),
    inference(backward_subsumption_resolution,[],[f424,f2814]) ).

fof(f8532,plain,
    ~ spl0_49,
    inference(avatar_contradiction_clause,[],[f8495]) ).

fof(f10593,plain,
    sk4 = tl(cons(skac3,sk4)),
    inference(resolution,[],[f1054,f424]) ).

fof(f10676,definition,
    ( spl0_138
  <=> nil = cons(skac3,sk4) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f10677,plain,
    ( nil != cons(skac3,sk4)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f10676]) ).

fof(f10678,plain,
    ( nil = cons(skac3,sk4)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f10676]) ).

fof(f10680,definition,
    ( spl0_139
  <=> ssList(cons(skac3,sk4)) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f10681,plain,
    ( ~ ssList(cons(skac3,sk4))
    | spl0_139 ),
    inference(avatar_component_clause,[],[f10680]) ).

fof(f10682,plain,
    ( ssList(cons(skac3,sk4))
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f10680]) ).

fof(f10716,plain,
    ( memberP(nil,skac3)
    | ssItem(skac3)
    | ssList(sk4)
    | ~ spl0_138 ),
    inference(superposition,[],[f433,f10678]) ).

fof(f10722,plain,
    ( ssItem(skac3)
    | ssList(sk4)
    | ~ spl0_138 ),
    inference(forward_subsumption_resolution,[],[f10716,f308]) ).

fof(f10745,plain,
    ( ssList(sk4)
    | ~ spl0_138 ),
    inference(forward_subsumption_resolution,[],[f10722,f247]) ).

fof(f10768,plain,
    ( $false
    | ~ spl0_138 ),
    inference(forward_subsumption_resolution,[],[f10745,f424]) ).

fof(f10769,plain,
    ~ spl0_138,
    inference(avatar_contradiction_clause,[],[f10768]) ).

fof(f10779,plain,
    ( ssList(sk4)
    | ssItem(skac3)
    | ~ spl0_139 ),
    inference(resolution,[],[f10682,f323]) ).

fof(f10780,plain,
    ( ssItem(skac3)
    | ~ spl0_139 ),
    inference(forward_subsumption_resolution,[],[f10779,f424]) ).

fof(f10781,plain,
    ( $false
    | ~ spl0_139 ),
    inference(forward_subsumption_resolution,[],[f10780,f247]) ).

fof(f10782,plain,
    ~ spl0_139,
    inference(avatar_contradiction_clause,[],[f10781]) ).

fof(f16538,plain,
    ( ! [X0] :
        ( ssList(app(X0,sk4))
        | ssList(X0)
        | ssList(skaf82(sk4))
        | ssItem(skaf83(sk4)) )
    | ~ spl0_22
    | ~ spl0_50 ),
    inference(superposition,[],[f2817,f980]) ).

fof(f16542,plain,
    ( ! [X0] :
        ( ssList(app(X0,sk4))
        | ssList(X0)
        | ssItem(skaf83(sk4)) )
    | ~ spl0_22
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f16538,f251]) ).

fof(f16546,plain,
    ( ! [X0] :
        ( ssList(app(X0,sk4))
        | ssList(X0) )
    | ~ spl0_22
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f16542,f250]) ).

fof(f18299,plain,
    ( ! [X0] :
        ( ssList(X0)
        | ssList(X0)
        | ssList(sk4) )
    | ~ spl0_22
    | ~ spl0_50 ),
    inference(resolution,[],[f16546,f322]) ).

fof(f18302,plain,
    ( ! [X0] :
        ( ssList(X0)
        | ssList(sk4) )
    | ~ spl0_22
    | ~ spl0_50 ),
    inference(duplicate_literal_removal,[],[f18299]) ).

fof(f18305,plain,
    ( ! [X0] : ssList(X0)
    | ~ spl0_22
    | ~ spl0_50 ),
    inference(forward_subsumption_resolution,[],[f18302,f424]) ).

fof(f18316,plain,
    ( spl0_49
    | ~ spl0_22
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f18305,f2816,f978,f2813]) ).

fof(f55118,plain,
    ( nil = tl(cons(skac3,sk4))
    | tl(cons(skac3,sk4)) = cons(skaf83(tl(cons(skac3,sk4))),skaf82(tl(cons(skac3,sk4))))
    | nil = cons(skac3,sk4)
    | spl0_139 ),
    inference(resolution,[],[f893,f10681]) ).

fof(f55167,plain,
    ( nil = tl(cons(skac3,sk4))
    | tl(cons(skac3,sk4)) = cons(skaf83(tl(cons(skac3,sk4))),skaf82(tl(cons(skac3,sk4))))
    | spl0_138
    | spl0_139 ),
    inference(forward_subsumption_resolution,[],[f55118,f10677]) ).

fof(f55219,plain,
    ( nil = sk4
    | tl(cons(skac3,sk4)) = cons(skaf83(tl(cons(skac3,sk4))),skaf82(tl(cons(skac3,sk4))))
    | spl0_138
    | spl0_139 ),
    inference(forward_demodulation,[],[f55167,f10593]) ).

fof(f99986,plain,
    ( ssList(cons(hd(sk4),nil))
    | nil = cons(hd(sk4),nil)
    | ssList(nil)
    | frontsegP(tl(sk4),nil)
    | ~ spl0_3
    | ~ spl0_13
    | spl0_17
    | ~ spl0_20
    | spl0_26 ),
    inference(resolution,[],[f760,f2224]) ).

fof(f99995,plain,
    ( nil = cons(hd(sk4),nil)
    | ssList(nil)
    | frontsegP(tl(sk4),nil)
    | ~ spl0_3
    | ~ spl0_13
    | spl0_17
    | ~ spl0_20
    | spl0_26
    | spl0_86 ),
    inference(forward_subsumption_resolution,[],[f99986,f7079]) ).

fof(f99996,plain,
    ( ssList(nil)
    | frontsegP(tl(sk4),nil)
    | ~ spl0_3
    | ~ spl0_13
    | spl0_17
    | ~ spl0_20
    | spl0_26
    | spl0_85
    | spl0_86 ),
    inference(forward_subsumption_resolution,[],[f99995,f7075]) ).

fof(f99997,plain,
    ( frontsegP(tl(sk4),nil)
    | ~ spl0_3
    | spl0_7
    | ~ spl0_13
    | spl0_17
    | ~ spl0_20
    | spl0_26
    | spl0_85
    | spl0_86 ),
    inference(forward_subsumption_resolution,[],[f99996,f468]) ).

fof(f99999,plain,
    ( ssList(nil)
    | frontsegP(nil,nil)
    | ~ spl0_3
    | spl0_7
    | ~ spl0_13
    | spl0_17
    | ~ spl0_20
    | spl0_26
    | spl0_85
    | spl0_86 ),
    inference(resolution,[],[f99997,f3033]) ).

fof(f100007,plain,
    ( frontsegP(nil,nil)
    | ~ spl0_3
    | spl0_7
    | ~ spl0_13
    | spl0_17
    | ~ spl0_20
    | spl0_26
    | spl0_85
    | spl0_86 ),
    inference(forward_subsumption_resolution,[],[f99999,f468]) ).

fof(f100010,plain,
    ( $false
    | ~ spl0_3
    | spl0_7
    | spl0_10
    | ~ spl0_13
    | spl0_17
    | ~ spl0_20
    | spl0_26
    | spl0_85
    | spl0_86 ),
    inference(forward_subsumption_resolution,[],[f100007,f482]) ).

fof(f100011,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_10
    | ~ spl0_13
    | spl0_17
    | ~ spl0_20
    | spl0_26
    | spl0_85
    | spl0_86 ),
    inference(avatar_contradiction_clause,[],[f100010]) ).

fof(f100015,plain,
    ( $false
    | spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f736,f728]) ).

fof(f100016,plain,
    ( spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f100015]) ).

fof(f100029,plain,
    ( spl0_49
    | spl0_50
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f8322,f498,f2816,f2813]) ).

fof(f100034,plain,
    ( spl0_5
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f1608,f1037,f456]) ).

fof(f100777,plain,
    ( sk4 = cons(skaf83(sk4),skaf82(sk4))
    | nil = sk4
    | spl0_138
    | spl0_139 ),
    inference(forward_demodulation,[],[f55219,f10593]) ).

fof(f101002,plain,
    ( spl0_5
    | spl0_22
    | spl0_138
    | spl0_139 ),
    inference(avatar_split_clause,[],[f100777,f10680,f10676,f978,f456]) ).

cnf(s1,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(sat_conversion,[],[f449]) ).

cnf(s2,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f454]) ).

cnf(s3,plain,
    ( spl0_1
    | ~ spl0_2
    | spl0_5 ),
    inference(sat_conversion,[],[f459]) ).

cnf(s5,plain,
    ~ spl0_1,
    inference(sat_conversion,[],[f461]) ).

cnf(s9,plain,
    ( spl0_7
    | ~ spl0_10 ),
    inference(sat_conversion,[],[f483]) ).

cnf(s12,plain,
    ( spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s15,plain,
    ~ spl0_7,
    inference(sat_conversion,[],[f503]) ).

cnf(s16,plain,
    ( spl0_2
    | spl0_3
    | spl0_7 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s26,plain,
    ( spl0_5
    | spl0_20 ),
    inference(sat_conversion,[],[f838]) ).

cnf(s33,plain,
    ( spl0_1
    | spl0_3
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f971]) ).

cnf(s54,plain,
    ( spl0_5
    | ~ spl0_17 ),
    inference(sat_conversion,[],[f1581]) ).

cnf(s127,plain,
    ( spl0_7
    | spl0_26
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f7157]) ).

cnf(s151,plain,
    ( spl0_7
    | spl0_26
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f7619]) ).

cnf(s211,plain,
    ~ spl0_49,
    inference(sat_conversion,[],[f8532]) ).

cnf(s254,plain,
    ~ spl0_138,
    inference(sat_conversion,[],[f10769]) ).

cnf(s256,plain,
    ~ spl0_139,
    inference(sat_conversion,[],[f10782]) ).

cnf(s575,plain,
    ( ~ spl0_22
    | spl0_49
    | ~ spl0_50 ),
    inference(sat_conversion,[],[f18316]) ).

cnf(s3014,plain,
    ( ~ spl0_3
    | spl0_7
    | spl0_10
    | ~ spl0_13
    | spl0_17
    | ~ spl0_20
    | spl0_26
    | spl0_85
    | spl0_86 ),
    inference(sat_conversion,[],[f100011]) ).

cnf(s3015,plain,
    ( spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f100016]) ).

cnf(s3020,plain,
    ( ~ spl0_14
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f100029]) ).

cnf(s3025,plain,
    ( spl0_5
    | ~ spl0_26 ),
    inference(sat_conversion,[],[f100034]) ).

cnf(s3210,plain,
    ( spl0_5
    | spl0_22
    | spl0_138
    | spl0_139 ),
    inference(sat_conversion,[],[f101002]) ).

cnf(s3358,plain,
    ~ spl0_10,
    inference(rat,[],[s9,s15]) ).

cnf(s3360,plain,
    ( ~ spl0_2
    | spl0_5 ),
    inference(rat,[],[s3,s5]) ).

cnf(s3361,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(rat,[],[s1,s5]) ).

cnf(s3362,plain,
    ( ~ spl0_4
    | ~ spl0_3
    | spl0_2 ),
    inference(rat,[],[s12,s3020,s3014,s127,s151,s575,s26,s54,s3025,s3210,s3015,s256,s254,s3358,s15,s211]) ).

cnf(s3363,plain,
    spl0_2,
    inference(rat,[],[s3362,s2,s16,s15]) ).

cnf(s3364,plain,
    spl0_5,
    inference(rat,[],[s3360,s3363]) ).

cnf(s3365,plain,
    ~ spl0_3,
    inference(rat,[],[s3361,s3363]) ).

cnf(s3372,plain,
    $false,
    inference(rat,[],[s33,s5,s3364,s3365]) ).

fof(f101057,plain,
    $false,
    inference(avatar_sat_refutation,[],[s3372]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWC099-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37  % Computer : n015.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep 28 07:56:01 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.41  Running first-order model finding
% 0.16/0.41  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
% 13.34/2.32  % (2459619)Will run a generic schedule for satisfiability detection.
% 13.34/2.32  % (2459629)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2529379063:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.34/2.32  % (2459625)% WARNING: option uhcvi not known.
% 13.34/2.32  % (2459624)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2889732270_2999 on theBenchmark for (2999ds/0Mi)
% 13.34/2.32  % (2459625)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1205240762:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.34/2.32  % (2459626)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3225690544:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.34/2.32  % (2459627)dis+10_1_sil=32000:sp=arity:random_seed=4070915132:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.34/2.32  % (2459628)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4273146481:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.34/2.32  % (2459630)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3474429787:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.34/2.32  % TRYING [1]
% 13.34/2.32  % TRYING [2]
% 13.34/2.32  % TRYING [3]
% 13.34/2.32  % (2459629)Instruction limit reached! 
% 13.34/2.32  % (2459629)------------------------------
% 13.34/2.32  % (2459629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.34/2.32  % (2459629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.32  % (2459629)CaDiCaL version: 2.1.3
% 13.34/2.32  % (2459629)Termination reason: Instruction limit
% 13.34/2.32  % (2459629)Termination phase: Saturation
% 13.34/2.32  % (2459629)Time elapsed: 0.038 s
% 13.34/2.32  % (2459629)Peak memory usage: 14 MB
% 13.34/2.32  % (2459629)Instructions burned: 135 (million)
% 13.34/2.32  % TRYING [4]
% 13.34/2.32  % (2459638)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1750250275:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.34/2.32  % TRYING [1]
% 13.34/2.32  % TRYING [2]
% 13.34/2.32  % TRYING [3]
% 13.34/2.32  % (2459627)Instruction limit reached! 
% 13.34/2.32  % (2459627)------------------------------
% 13.34/2.32  % (2459627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.34/2.32  % (2459627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.32  % (2459627)CaDiCaL version: 2.1.3
% 13.34/2.32  % (2459627)Termination reason: Instruction limit
% 13.34/2.32  % (2459627)Termination phase: Saturation
% 13.34/2.32  % (2459627)Time elapsed: 0.059 s
% 13.34/2.32  % (2459627)Peak memory usage: 13 MB
% 13.34/2.32  % (2459627)Instructions burned: 103 (million)
% 13.34/2.32  % (2459628)Instruction limit reached! 
% 13.34/2.32  % (2459628)------------------------------
% 13.34/2.32  % (2459628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.34/2.32  % (2459628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.32  % (2459628)CaDiCaL version: 2.1.3
% 13.34/2.32  % (2459628)Termination reason: Instruction limit
% 13.34/2.32  % (2459628)Termination phase: Saturation
% 13.34/2.32  % (2459628)Time elapsed: 0.060 s
% 13.34/2.32  % (2459628)Peak memory usage: 13 MB
% 13.34/2.32  % (2459628)Instructions burned: 117 (million)
% 13.34/2.32  % TRYING [4]
% 13.34/2.32  % (2459640)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1274449206:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.34/2.32  % (2459641)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=1035071009:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 13.34/2.32  % (2459630)Instruction limit reached! 
% 13.34/2.32  % (2459630)------------------------------
% 13.34/2.32  % (2459630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.34/2.32  % (2459630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.32  % (2459630)CaDiCaL version: 2.1.3
% 13.34/2.32  % (2459630)Termination reason: Instruction limit
% 13.34/2.32  % (2459630)Termination phase: Saturation
% 13.34/2.32  % (2459630)Time elapsed: 0.086 s
% 13.34/2.32  % (2459630)Peak memory usage: 14 MB
% 13.34/2.32  % (2459630)Instructions burned: 159 (million)
% 13.34/2.32  % TRYING [5]
% 13.34/2.32  % TRYING [5]
% 13.34/2.32  % (2459644)ott-21_1_sil=16000:fs=off:random_seed=750900447:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.34/2.32  % (2459640)Instruction limit reached! 
% 13.34/2.32  % (2459640)------------------------------
% 13.34/2.32  % (2459640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/3.16  % (2459640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/3.16  % (2459640)CaDiCaL version: 2.1.3
% 9.08/3.16  % (2459640)Termination reason: Instruction limit
% 9.08/3.16  % (2459640)Termination phase: Saturation
% 9.08/3.16  % (2459640)Time elapsed: 0.074 s
% 9.08/3.16  % (2459640)Peak memory usage: 13 MB
% 9.08/3.16  % (2459640)Instructions burned: 132 (million)
% 9.08/3.16  % (2459646)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3477855699:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 9.08/3.16  % TRYING [6]
% 9.08/3.16  % (2459644)Instruction limit reached! 
% 9.08/3.16  % (2459644)------------------------------
% 9.08/3.16  % (2459644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/3.16  % (2459644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/3.16  % (2459644)CaDiCaL version: 2.1.3
% 9.08/3.16  % (2459644)Termination reason: Instruction limit
% 9.08/3.16  % (2459644)Termination phase: Saturation
% 9.08/3.16  % (2459644)Time elapsed: 0.089 s
% 9.08/3.16  % (2459644)Peak memory usage: 13 MB
% 9.08/3.16  % (2459644)Instructions burned: 181 (million)
% 9.08/3.16  % (2459638)Instruction limit reached! 
% 9.08/3.16  % (2459638)------------------------------
% 9.08/3.16  % (2459638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/3.16  % (2459638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/3.16  % (2459638)CaDiCaL version: 2.1.3
% 9.08/3.16  % (2459638)Termination reason: Instruction limit
% 9.08/3.16  % (2459638)Termination phase: Finite model building constraint generation
% 9.08/3.16  % (2459638)Time elapsed: 0.155 s
% 9.08/3.16  % (2459638)Peak memory usage: 36 MB
% 9.08/3.16  % (2459638)Instructions burned: 718 (million)
% 9.08/3.16  % (2459649)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1610073938:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 9.08/3.16  % (2459648)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3673407513:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 9.08/3.16  % TRYING [1]
% 9.08/3.16  % TRYING [2]
% 9.08/3.16  % TRYING [3]
% 9.08/3.16  % TRYING [6]
% 9.08/3.16  % TRYING [4]
% 9.08/3.16  % TRYING [5]
% 9.08/3.16  % (2459646)Instruction limit reached! 
% 9.08/3.16  % (2459646)------------------------------
% 9.08/3.16  % (2459646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/3.16  % (2459646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/3.16  % (2459646)CaDiCaL version: 2.1.3
% 9.08/3.16  % (2459646)Termination reason: Instruction limit
% 9.08/3.16  % (2459646)Termination phase: Saturation
% 9.08/3.16  % (2459646)Time elapsed: 0.308 s
% 9.08/3.16  % (2459646)Peak memory usage: 14 MB
% 9.08/3.16  % (2459646)Instructions burned: 478 (million)
% 9.08/3.16  % (2459641)Instruction limit reached! 
% 9.08/3.16  % (2459641)------------------------------
% 9.08/3.16  % (2459641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/3.16  % (2459641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/3.16  % (2459641)CaDiCaL version: 2.1.3
% 9.08/3.16  % (2459641)Termination reason: Instruction limit
% 9.08/3.16  % (2459641)Termination phase: Saturation
% 9.08/3.16  % (2459641)Time elapsed: 0.415 s
% 9.08/3.16  % (2459641)Peak memory usage: 17 MB
% 9.08/3.16  % (2459641)Instructions burned: 685 (million)
% 9.08/3.16  % (2459652)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1077311202:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 9.08/3.16  % (2459653)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=4110380097: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)
% 9.08/3.16  % (2459649)Instruction limit reached! 
% 9.08/3.16  % (2459649)------------------------------
% 9.08/3.16  % (2459649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/3.16  % (2459649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/3.16  % (2459649)CaDiCaL version: 2.1.3
% 9.08/3.16  % (2459649)Termination reason: Instruction limit
% 9.08/3.16  % (2459649)Termination phase: Saturation
% 9.08/3.16  % (2459649)Time elapsed: 0.329 s
% 9.08/3.16  % (2459649)Peak memory usage: 27 MB
% 9.08/3.16  % (2459649)Instructions burned: 1179 (million)
% 9.08/3.16  % (2459648)Instruction limit reached! 
% 9.08/3.16  % (2459648)------------------------------
% 9.08/3.16  % (2459648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/3.16  % (2459648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/3.16  % (2459648)CaDiCaL version: 2.1.3
% 9.08/3.16  % (2459648)Termination reason: Instruction limit
% 9.08/3.16  % (2459648)Termination phase: Finite model building SAT solving
% 9.08/3.16  % (2459648)Time elapsed: 0.334 s
% 9.08/3.16  % (2459648)Peak memory usage: 23 MB
% 9.08/3.16  % (2459648)Instructions burned: 870 (million)
% 9.08/3.16  % (2459656)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4024885663:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 9.08/3.16  % (2459657)fmb+10_1_sil=64000:random_seed=3872091869:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 9.08/3.16  % TRYING [1]
% 9.08/3.16  % TRYING [2]
% 9.08/3.16  % TRYING [3]
% 9.08/3.16  % TRYING [14]
% 9.08/3.16  % TRYING [4]
% 9.08/3.16  % TRYING [7]
% 9.08/3.16  % TRYING [5]
% 9.08/3.16  % (2459656)Instruction limit reached! 
% 9.08/3.16  % (2459656)------------------------------
% 9.08/3.16  % (2459656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/3.16  % (2459656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/3.16  % (2459656)CaDiCaL version: 2.1.3
% 9.08/3.16  % (2459656)Termination reason: Instruction limit
% 9.08/3.16  % (2459656)Termination phase: Saturation
% 9.08/3.16  % (2459656)Time elapsed: 0.255 s
% 9.08/3.16  % (2459656)Peak memory usage: 21 MB
% 9.08/3.16  % (2459656)Instructions burned: 881 (million)
% 9.08/3.16  % (2459660)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4158805583:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 9.08/3.16  % (2459652)Instruction limit reached! 
% 9.08/3.16  % (2459652)------------------------------
% 9.08/3.16  % (2459652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/3.16  % (2459652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/3.16  % (2459652)CaDiCaL version: 2.1.3
% 9.08/3.16  % (2459652)Termination reason: Instruction limit
% 9.08/3.16  % (2459652)Termination phase: Finite model building constraint generation
% 9.08/3.16  % (2459652)Time elapsed: 0.324 s
% 9.08/3.16  % (2459652)Peak memory usage: 73 MB
% 9.08/3.16  % (2459652)Instructions burned: 890 (million)
% 9.08/3.16  % TRYING [20]
% 9.08/3.16  % (2459662)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=279757616:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 9.08/3.16  % TRYING [8]
% 9.08/3.16  % (2459653)Instruction limit reached! 
% 9.08/3.16  % (2459653)------------------------------
% 9.08/3.16  % (2459653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/3.16  % (2459653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/3.16  % (2459653)CaDiCaL version: 2.1.3
% 9.08/3.16  % (2459653)Termination reason: Instruction limit
% 9.08/3.16  % (2459653)Termination phase: Saturation
% 9.08/3.16  % (2459653)Time elapsed: 0.384 s
% 9.08/3.16  % (2459653)Peak memory usage: 21 MB
% 9.08/3.16  % (2459653)Instructions burned: 693 (million)
% 9.08/3.16  % (2459664)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3089765815:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 9.08/3.16  % TRYING [6]
% 9.08/3.16  % (2459662)Instruction limit reached! 
% 9.08/3.16  % (2459662)------------------------------
% 9.08/3.16  % (2459662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/3.16  % (2459662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/3.16  % (2459662)CaDiCaL version: 2.1.3
% 9.08/3.16  % (2459662)Termination reason: Instruction limit
% 9.08/3.16  % (2459662)Termination phase: Finite model building constraint generation
% 9.08/3.16  % (2459662)Time elapsed: 0.331 s
% 9.08/3.16  % (2459662)Peak memory usage: 79 MB
% 9.08/3.16  % (2459662)Instructions burned: 921 (million)
% 9.08/3.16  % (2459666)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3918386594:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 9.08/3.16  % (2459666)Instruction limit reached! 
% 9.08/3.16  % (2459666)------------------------------
% 9.08/3.16  % (2459666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/3.16  % (2459666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/3.16  % (2459666)CaDiCaL version: 2.1.3
% 9.08/3.16  % (2459666)Termination reason: Instruction limit
% 9.08/3.16  % (2459666)Termination phase: Saturation
% 9.08/3.16  % (2459666)Time elapsed: 0.638 s
% 9.08/3.16  % (2459666)Peak memory usage: 15 MB
% 9.08/3.16  % (2459666)Instructions burned: 1472 (million)
% 9.08/3.16  % (2459668)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1632823125:i=6324_2981 on theBenchmark for (2981ds/6324Mi)
% 9.08/3.16  % TRYING [77]
% 9.08/3.16  % TRYING [8]
% 9.08/3.16  % TRYING [7]
% 9.08/3.16  % (2459660)Instruction limit reached! 
% 9.08/3.16  % (2459660)------------------------------
% 9.08/3.16  % (2459660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/3.16  % (2459660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/3.16  % (2459660)CaDiCaL version: 2.1.3
% 9.08/3.16  % (2459660)Termination reason: Instruction limit
% 9.08/3.16  % (2459660)Termination phase: Finite model building constraint generation
% 9.08/3.16  % (2459660)Time elapsed: 1.778 s
% 9.08/3.16  % (2459660)Peak memory usage: 588 MB
% 9.08/3.16  % (2459660)Instructions burned: 9517 (million)
% 9.08/3.16  % (2459670)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2236068080:fmbsr=2.30978:i=2174_2973 on theBenchmark for (2973ds/2174Mi)
% 9.08/3.16  % (2459625) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2459619-2459625"...
% 9.08/3.16  % (2459625)...printing done.
% 9.08/3.16  % TRYING [16]
% 9.08/3.16  % (2459625)Refutation found. Thanks to Tanya!
% 9.08/3.16  % SZS status Unsatisfiable for theBenchmark
% 9.08/3.16  % SZS output start Proof for theBenchmark
% See solution above
% 9.08/3.16  % (2459625)------------------------------
% 9.08/3.16  % (2459625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.08/3.16  % (2459625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.08/3.16  % (2459625)CaDiCaL version: 2.1.3
% 9.08/3.16  % (2459625)Termination reason: Refutation
% 9.08/3.16  % (2459625)Time elapsed: 2.676 s
% 9.08/3.16  % (2459625)Peak memory usage: 56 MB
% 9.08/3.16  % (2459625)Instructions burned: 5051 (million)
% 9.08/3.16  % (2459619)Success in time 2.743 s
% 9.08/3.16  % Vampire exiting
%------------------------------------------------------------------------------