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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWW662_2 : TPTP v9.3.1. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% 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 01:31:05 PM UTC 2026

% Result   : Theorem 16.56s 3.18s
% Output   : Refutation 17.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   87 (  14 unt;   0 typ;  16 def)
%            Number of atoms       :  192 (  48 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  169 (  64   ~;  57   |;  17   &)
%                                         (  17 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number arithmetic     :  318 (  62 atm;  67 fun; 146 num;  43 var)
%            Number of types       :    8 (   6 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   22 (  18 usr;  16 prp; 0-2 aty)
%            Number of functors    :   44 (  36 usr;  13 con; 0-5 aty)
%            Number of variables   :   43 (  37   !;   6   ?;  43   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    uni: $tType ).

tff(type_def_6,type,
    ty: $tType ).

tff(type_def_7,type,
    bool1: $tType ).

tff(type_def_8,type,
    tuple02: $tType ).

tff(type_def_9,type,
    map_int_int: $tType ).

tff(type_def_10,type,
    array_int: $tType ).

tff(func_def_0,type,
    witness1: ty > uni ).

tff(func_def_1,type,
    int: ty ).

tff(func_def_2,type,
    real: ty ).

tff(func_def_3,type,
    bool: ty ).

tff(func_def_4,type,
    true1: bool1 ).

tff(func_def_5,type,
    false1: bool1 ).

tff(func_def_6,type,
    match_bool1: ( ty * bool1 * uni * uni ) > uni ).

tff(func_def_7,type,
    tuple0: ty ).

tff(func_def_8,type,
    tuple03: tuple02 ).

tff(func_def_9,type,
    qtmark: ty ).

tff(func_def_12,type,
    abs1: $int > $int ).

tff(func_def_14,type,
    div1: ( $int * $int ) > $int ).

tff(func_def_15,type,
    mod1: ( $int * $int ) > $int ).

tff(func_def_18,type,
    power1: ( $int * $int ) > $int ).

tff(func_def_20,type,
    map: ( ty * ty ) > ty ).

tff(func_def_21,type,
    get: ( ty * ty * uni * uni ) > uni ).

tff(func_def_22,type,
    set: ( ty * ty * uni * uni * uni ) > uni ).

tff(func_def_23,type,
    const: ( ty * ty * uni ) > uni ).

tff(func_def_24,type,
    array: ty > ty ).

tff(func_def_25,type,
    mk_array1: ( ty * $int * uni ) > uni ).

tff(func_def_26,type,
    length1: ( ty * uni ) > $int ).

tff(func_def_27,type,
    elts: ( ty * uni ) > uni ).

tff(func_def_28,type,
    get2: ( ty * uni * $int ) > uni ).

tff(func_def_29,type,
    t2tb: $int > uni ).

tff(func_def_30,type,
    tb2t: uni > $int ).

tff(func_def_31,type,
    set2: ( ty * uni * $int * uni ) > uni ).

tff(func_def_32,type,
    make1: ( ty * $int * uni ) > uni ).

tff(func_def_33,type,
    sum2: ( map_int_int * $int * $int ) > $int ).

tff(func_def_34,type,
    t2tb1: map_int_int > uni ).

tff(func_def_35,type,
    tb2t1: uni > map_int_int ).

tff(func_def_36,type,
    sum3: ( array_int * $int * $int ) > $int ).

tff(func_def_37,type,
    t2tb2: array_int > uni ).

tff(func_def_38,type,
    tb2t2: uni > array_int ).

tff(func_def_40,type,
    sK0: $int > $int ).

tff(func_def_41,type,
    sK1: $int ).

tff(func_def_42,type,
    sK2: ( map_int_int * map_int_int * $int * $int ) > $int ).

tff(pred_def_1,type,
    sort1: ( ty * uni ) > $o ).

tff(pred_def_4,type,
    is_power_of_21: $int > $o ).

tff(pred_def_5,type,
    sP3: $int > $o ).

tff(f9,axiom,
    ! [X0: $int] :
      ( ( ~ $lesseq(0,X0)
       => ( abs1(X0) = $uminus(X0) ) )
      & ( $lesseq(0,X0)
       => ( abs1(X0) = X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abs_def) ).

tff(f26,axiom,
    ! [X0: $int] : ( power1(X0,0) = 1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_0) ).

tff(f27,axiom,
    ! [X1: $int,X0: $int] :
      ( $lesseq(0,X1)
     => ( power1(X0,$sum(X1,1)) = $product(X0,power1(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_s) ).

tff(f65,axiom,
    ! [X0: $int] :
      ( $lesseq(0,X0)
     => ( $lesseq($difference(X0,1),$product(2,div1(X0,2)))
        & $lesseq($product(2,div1(X0,2)),X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',div_mod_2) ).

tff(f66,axiom,
    ! [X0: $int] :
      ( is_power_of_21(X0)
    <=> ? [X1: $int] :
          ( $lesseq(0,X1)
          & ( X0 = power1(2,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_power_of_2_def) ).

tff(f67,conjecture,
    ! [X0: $int] :
      ( is_power_of_21(X0)
     => ( $less(1,X0)
       => ( $product(2,div1(X0,2)) = X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_power_of_2_1) ).

tff(f68,negated_conjecture,
    ~ ! [X0: $int] :
        ( is_power_of_21(X0)
       => ( $less(1,X0)
         => ( $product(2,div1(X0,2)) = X0 ) ) ),
    inference(negated_conjecture,[status(cth)],[f67]) ).

tff(f75,plain,
    ! [X0: $int] :
      ( ( $less(X0,0)
       => ( abs1(X0) = $uminus(X0) ) )
      & ( ~ $less(X0,0)
       => ( abs1(X0) = X0 ) ) ),
    inference(theory_normalization,[],[f9]) ).

tff(f79,plain,
    ! [X1: $int,X0: $int] :
      ( ~ $less(X1,0)
     => ( power1(X0,$sum(X1,1)) = $product(X0,power1(X0,X1)) ) ),
    inference(theory_normalization,[],[f27]) ).

tff(f84,plain,
    ! [X0: $int] :
      ( ? [X1: $int] :
          ( ( X0 = power1(2,X1) )
          & ~ $less(X1,0) )
    <=> is_power_of_21(X0) ),
    inference(theory_normalization,[],[f66]) ).

tff(f91,plain,
    ! [X0: $int] :
      ( ~ $less(X0,0)
     => ( ~ $less(X0,$product(2,div1(X0,2)))
        & ~ $less($product(2,div1(X0,2)),$sum(X0,$uminus(1))) ) ),
    inference(theory_normalization,[],[f65]) ).

tff(f94,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(definition,[],[tha_commutativity]) ).

tff(f99,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(definition,[],[tha_non-reflexivity]) ).

tff(f101,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | ( X0 = X1 )
      | $less(X0,X1) ),
    introduced(definition,[],[tha_order_totality]) ).

tff(f125,plain,
    ! [X1: $int,X0: $int] :
      ( ~ $less(X0,0)
     => ( power1(X1,$sum(X0,1)) = $product(X1,power1(X1,X0)) ) ),
    inference(rectify,[],[f79]) ).

tff(f141,plain,
    ! [X0: $int] :
      ( is_power_of_21(X0)
     => ? [X1: $int] :
          ( ( X0 = power1(2,X1) )
          & ~ $less(X1,0) ) ),
    inference(unused_predicate_definition_removal,[],[f84]) ).

tff(f145,plain,
    ? [X0: $int] :
      ( ( $product(2,div1(X0,2)) != X0 )
      & $less(1,X0)
      & is_power_of_21(X0) ),
    inference(ennf_transformation,[],[f68]) ).

tff(f146,plain,
    ? [X0: $int] :
      ( $less(1,X0)
      & is_power_of_21(X0)
      & ( $product(2,div1(X0,2)) != X0 ) ),
    inference(flattening,[],[f145]) ).

tff(f159,plain,
    ! [X0: $int] :
      ( ( ~ $less(X0,0)
        | ( abs1(X0) = $uminus(X0) ) )
      & ( $less(X0,0)
        | ( abs1(X0) = X0 ) ) ),
    inference(ennf_transformation,[],[f75]) ).

tff(f162,plain,
    ! [X0: $int,X1: $int] :
      ( ( power1(X1,$sum(X0,1)) = $product(X1,power1(X1,X0)) )
      | $less(X0,0) ),
    inference(ennf_transformation,[],[f125]) ).

tff(f175,plain,
    ! [X0: $int] :
      ( ( ~ $less(X0,$product(2,div1(X0,2)))
        & ~ $less($product(2,div1(X0,2)),$sum(X0,$uminus(1))) )
      | $less(X0,0) ),
    inference(ennf_transformation,[],[f91]) ).

tff(f186,plain,
    ! [X0: $int] :
      ( ~ is_power_of_21(X0)
      | ? [X1: $int] :
          ( ( X0 = power1(2,X1) )
          & ~ $less(X1,0) ) ),
    inference(ennf_transformation,[],[f141]) ).

tff(f218,plain,
    ! [X0: $int] :
      ( ~ is_power_of_21(X0)
      | ( ( power1(2,sK0(X0)) = X0 )
        & ~ $less(sK0(X0),0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f186]) ).

tff(f225,plain,
    ( $less(1,sK1)
    & is_power_of_21(sK1)
    & ( $product(2,div1(sK1,2)) != sK1 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f146]) ).

tff(f244,plain,
    ! [X0: $int] :
      ( ~ $less($product(2,div1(X0,2)),$sum(X0,$uminus(1)))
      | $less(X0,0) ),
    inference(cnf_transformation,[],[f175]) ).

tff(f245,plain,
    ! [X0: $int] :
      ( ~ $less(X0,$product(2,div1(X0,2)))
      | $less(X0,0) ),
    inference(cnf_transformation,[],[f175]) ).

tff(f246,plain,
    ! [X0: $int,X1: $int] :
      ( ( power1(X1,$sum(X0,1)) = $product(X1,power1(X1,X0)) )
      | $less(X0,0) ),
    inference(cnf_transformation,[],[f162]) ).

tff(f273,plain,
    ! [X0: $int] :
      ( ( abs1(X0) = X0 )
      | $less(X0,0) ),
    inference(cnf_transformation,[],[f159]) ).

tff(f278,plain,
    ! [X0: $int] : ( 1 = power1(X0,0) ),
    inference(cnf_transformation,[],[f26]) ).

tff(f280,plain,
    ! [X0: $int] :
      ( ~ $less(sK0(X0),0)
      | ~ is_power_of_21(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tff(f281,plain,
    ! [X0: $int] :
      ( ( power1(2,sK0(X0)) = X0 )
      | ~ is_power_of_21(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tff(f292,plain,
    $product(2,div1(sK1,2)) != sK1,
    inference(cnf_transformation,[],[f225]) ).

tff(f293,plain,
    is_power_of_21(sK1),
    inference(cnf_transformation,[],[f225]) ).

tff(f294,plain,
    $less(1,sK1),
    inference(cnf_transformation,[],[f225]) ).

tff(f314,definition,
    ~ sP3($product(2,div1(sK1,2))),
    introduced(definition,[new_symbols(definition,[sP3])],[inequality_splitting_name_introduction]) ).

tff(f315,plain,
    sP3(sK1),
    inference(inequality_splitting,[],[f292,f314]) ).

tff(f319,plain,
    ! [X0: $int] :
      ( ~ $less($product(2,div1(X0,2)),$sum(X0,-1))
      | $less(X0,0) ),
    inference(evaluation,[],[f244]) ).

tff(f322,definition,
    ( spl4_1
  <=> sP3($product(2,div1(sK1,2))) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

tff(f325,plain,
    ~ spl4_1,
    inference(avatar_split_clause,[],[f314,f322]) ).

tff(f327,definition,
    ( spl4_2
  <=> $less(1,sK1) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

tff(f329,plain,
    ( $less(1,sK1)
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f327]) ).

tff(f330,plain,
    spl4_2,
    inference(avatar_split_clause,[],[f294,f327]) ).

tff(f332,definition,
    ( spl4_3
  <=> sP3(sK1) ),
    introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).

tff(f335,plain,
    spl4_3,
    inference(avatar_split_clause,[],[f315,f332]) ).

tff(f337,definition,
    ( spl4_4
  <=> is_power_of_21(sK1) ),
    introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).

tff(f339,plain,
    ( is_power_of_21(sK1)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f337]) ).

tff(f340,plain,
    spl4_4,
    inference(avatar_split_clause,[],[f293,f337]) ).

tff(f366,plain,
    ( ( power1(2,sK0(sK1)) = sK1 )
    | ~ spl4_4 ),
    inference(unit_resulting_resolution,[],[f281,f339]) ).

tff(f367,plain,
    ( ~ $less(sK0(sK1),0)
    | ~ spl4_4 ),
    inference(unit_resulting_resolution,[],[f280,f339]) ).

tff(f389,definition,
    ( spl4_8
  <=> ( power1(2,sK0(sK1)) = sK1 ) ),
    introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).

tff(f391,plain,
    ( ( power1(2,sK0(sK1)) = sK1 )
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f389]) ).

tff(f392,plain,
    ( spl4_8
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f366,f337,f389]) ).

tff(f394,definition,
    ( spl4_9
  <=> $less(sK0(sK1),0) ),
    introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).

tff(f396,plain,
    ( ~ $less(sK0(sK1),0)
    | spl4_9 ),
    inference(avatar_component_clause,[],[f394]) ).

tff(f397,plain,
    ( ~ spl4_9
    | ~ spl4_4 ),
    inference(avatar_split_clause,[],[f367,f337,f394]) ).

tff(f406,plain,
    ( ( 1 != sK1 )
    | ~ spl4_2 ),
    inference(constrained_resolution,[],[f329,f99]) ).

tff(f511,definition,
    ( spl4_19
  <=> ( 1 = sK1 ) ),
    introduced(definition,[new_symbols(definition,[spl4_19])],[avatar_definition]) ).

tff(f513,plain,
    ( ( 1 != sK1 )
    | spl4_19 ),
    inference(avatar_component_clause,[],[f511]) ).

tff(f514,plain,
    ( ~ spl4_19
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f406,f327,f511]) ).

tff(f694,definition,
    ( spl4_30
  <=> $less(sK1,0) ),
    introduced(definition,[new_symbols(definition,[spl4_30])],[avatar_definition]) ).

tff(f696,plain,
    ( ~ $less(sK1,0)
    | spl4_30 ),
    inference(avatar_component_clause,[],[f694]) ).

tff(f946,plain,
    ( ~ $less(sK1,$product(2,div1(sK1,2)))
    | spl4_30 ),
    inference(unit_resulting_resolution,[],[f245,f696]) ).

tff(f962,plain,
    ( ( sK1 = abs1(sK1) )
    | spl4_30 ),
    inference(unit_resulting_resolution,[],[f273,f696]) ).

tff(f982,plain,
    ( ~ $less($product(2,div1(sK1,2)),$sum(sK1,-1))
    | spl4_30 ),
    inference(unit_resulting_resolution,[],[f319,f696]) ).

tff(f1046,definition,
    ( spl4_46
  <=> ( sK1 = abs1(sK1) ) ),
    introduced(definition,[new_symbols(definition,[spl4_46])],[avatar_definition]) ).

tff(f1049,plain,
    ( spl4_46
    | spl4_30 ),
    inference(avatar_split_clause,[],[f962,f694,f1046]) ).

tff(f1079,plain,
    ( ~ $less($product(2,div1(sK1,2)),$sum(-1,sK1))
    | spl4_30 ),
    inference(forward_demodulation,[],[f982,f94]) ).

tff(f1096,definition,
    ( spl4_52
  <=> $less(sK1,$product(2,div1(sK1,2))) ),
    introduced(definition,[new_symbols(definition,[spl4_52])],[avatar_definition]) ).

tff(f1099,plain,
    ( ~ spl4_52
    | spl4_30 ),
    inference(avatar_split_clause,[],[f946,f694,f1096]) ).

tff(f1138,definition,
    ( spl4_59
  <=> $less($product(2,div1(sK1,2)),$sum(-1,sK1)) ),
    introduced(definition,[new_symbols(definition,[spl4_59])],[avatar_definition]) ).

tff(f1141,plain,
    ( ~ spl4_59
    | spl4_30 ),
    inference(avatar_split_clause,[],[f1079,f694,f1138]) ).

tff(f1209,plain,
    ( ( 0 = sK0(sK1) )
    | $less(0,sK0(sK1))
    | spl4_9 ),
    inference(resolution,[],[f396,f101]) ).

tff(f1362,definition,
    ( spl4_73
  <=> ( 0 = sK0(sK1) ) ),
    introduced(definition,[new_symbols(definition,[spl4_73])],[avatar_definition]) ).

tff(f1366,definition,
    ( spl4_74
  <=> $less(0,sK0(sK1)) ),
    introduced(definition,[new_symbols(definition,[spl4_74])],[avatar_definition]) ).

tff(f1369,plain,
    ( spl4_73
    | spl4_74
    | spl4_9 ),
    inference(avatar_split_clause,[],[f1209,f394,f1366,f1362]) ).

tff(f1878,plain,
    ( ( 0 != sK0(sK1) )
    | ( 1 = sK1 )
    | ~ spl4_8 ),
    inference(constrained_superposition,[],[f278,f391]) ).

tff(f1879,plain,
    ( ! [X0: $int] :
        ( ( sK1 = $product(2,power1(2,X0)) )
        | $less(X0,0)
        | ( $sum(X0,1) != sK0(sK1) ) )
    | ~ spl4_8 ),
    inference(constrained_superposition,[],[f246,f391]) ).

tff(f1893,plain,
    ( ( sK1 = $product(2,power1(2,$sum(sK0(sK1),$uminus(1)))) )
    | $less($sum(sK0(sK1),$uminus(1)),0)
    | ~ spl4_8 ),
    inference(gaussian_variable_elimination,[],[f1879]) ).

tff(f1894,plain,
    ( ( $product(2,power1(2,$sum(sK0(sK1),-1))) = sK1 )
    | $less($sum(sK0(sK1),-1),0)
    | ~ spl4_8 ),
    inference(evaluation,[],[f1893]) ).

tff(f1972,plain,
    ( ( 0 != sK0(sK1) )
    | ~ spl4_8
    | spl4_19 ),
    inference(forward_subsumption_resolution,[],[f1878,f513]) ).

tff(f1975,plain,
    ( ( $product(2,power1(2,$sum(-1,sK0(sK1)))) = sK1 )
    | $less($sum(sK0(sK1),-1),0)
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f1894,f94]) ).

tff(f2067,plain,
    ( ~ spl4_73
    | ~ spl4_8
    | spl4_19 ),
    inference(avatar_split_clause,[],[f1972,f511,f389,f1362]) ).

tff(f2070,plain,
    ( ( $product(2,power1(2,$sum(-1,sK0(sK1)))) = sK1 )
    | $less($sum(-1,sK0(sK1)),0)
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f1975,f94]) ).

tff(f2096,definition,
    ( spl4_105
  <=> ( $product(2,power1(2,$sum(-1,sK0(sK1)))) = sK1 ) ),
    introduced(definition,[new_symbols(definition,[spl4_105])],[avatar_definition]) ).

tff(f2100,definition,
    ( spl4_106
  <=> $less($sum(-1,sK0(sK1)),0) ),
    introduced(definition,[new_symbols(definition,[spl4_106])],[avatar_definition]) ).

tff(f2103,plain,
    ( spl4_105
    | spl4_106
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f2070,f389,f2100,f2096]) ).

tff(f2147,plain,
    $false,
    inference(avatar_smt_refutation,[],[f2103,f2067,f1369,f1141,f1099,f1049,f514,f397,f392,f340,f335,f330,f325]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW662_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.25  % Computer : n018.cluster.edu
% 0.12/0.25  % Model    : x86_64 x86_64
% 0.12/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.25  % Memory   : 8046.5625MB
% 0.12/0.25  % OS       : Linux 6.8.0-71-generic
% 0.12/0.25  % CPULimit : 300
% 0.12/0.25  % WCLimit  : 300
% 0.12/0.25  % DateTime : Mon Sep 28 14:26:25 UTC 2026
% 0.12/0.26  % CPUTime  : 
% 0.12/0.26  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.31  Running first-order theorem proving
% 0.25/0.31  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.51/1.56  % (3424371)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.51/1.56  % (3424422)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2802988862:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.51/1.56  % (3424422)Instruction limit reached! 
% 4.51/1.56  % (3424422)------------------------------
% 4.51/1.56  % (3424422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.56  % (3424422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.56  % (3424422)CaDiCaL version: 2.1.3
% 4.51/1.56  % (3424422)Termination reason: Instruction limit
% 4.51/1.56  % (3424422)Termination phase: Saturation
% 4.51/1.56  % (3424422)Time elapsed: 0.003 s
% 4.51/1.56  % (3424422)Peak memory usage: 88 MB
% 4.51/1.56  % (3424422)Instructions burned: 5 (million)
% 4.51/1.56  % (3424424)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=759870228:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.51/1.56  % (3424424)Instruction limit reached! 
% 4.51/1.56  % (3424424)------------------------------
% 4.51/1.56  % (3424424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.56  % (3424424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.56  % (3424424)CaDiCaL version: 2.1.3
% 4.51/1.56  % (3424424)Termination reason: Instruction limit
% 4.51/1.56  % (3424424)Termination phase: Saturation
% 4.51/1.56  % (3424424)Time elapsed: 0.049 s
% 4.51/1.56  % (3424424)Peak memory usage: 116 MB
% 4.51/1.56  % (3424424)Instructions burned: 33 (million)
% 4.51/1.56  % (3424421)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1983831109:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.51/1.56  % (3424423)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=2559975992:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.51/1.56  % (3424420)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=71921842:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.51/1.56  % (3424421)Instruction limit reached! 
% 4.51/1.56  % (3424421)------------------------------
% 4.51/1.56  % (3424421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.56  % (3424421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.56  % (3424421)CaDiCaL version: 2.1.3
% 4.51/1.56  % (3424421)Termination reason: Instruction limit
% 4.51/1.56  % (3424421)Termination phase: Saturation
% 4.51/1.56  % (3424421)Time elapsed: 0.008 s
% 4.51/1.56  % (3424421)Peak memory usage: 88 MB
% 4.51/1.56  % (3424421)Instructions burned: 7 (million)
% 4.51/1.56  % (3424419)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4163334492:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.51/1.56  % (3424418)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1906153877:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.51/1.56  % (3424418)Instruction limit reached! 
% 4.51/1.56  % (3424418)------------------------------
% 4.51/1.56  % (3424418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.56  % (3424418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.56  % (3424418)CaDiCaL version: 2.1.3
% 4.51/1.56  % (3424418)Termination reason: Instruction limit
% 4.51/1.56  % (3424418)Termination phase: Saturation
% 4.51/1.56  % (3424418)Time elapsed: 0.042 s
% 4.51/1.56  % (3424418)Peak memory usage: 116 MB
% 4.51/1.56  % (3424418)Instructions burned: 13 (million)
% 4.51/1.56  % (3424423)Instruction limit reached! 
% 4.51/1.56  % (3424423)------------------------------
% 4.51/1.56  % (3424423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.56  % (3424423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.56  % (3424423)CaDiCaL version: 2.1.3
% 4.51/1.56  % (3424423)Termination reason: Instruction limit
% 4.51/1.56  % (3424423)Termination phase: Saturation
% 4.51/1.56  % (3424423)Time elapsed: 0.075 s
% 4.51/1.56  % (3424423)Peak memory usage: 116 MB
% 4.51/1.56  % (3424423)Instructions burned: 47 (million)
% 4.51/1.56  % (3424431)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=550266924:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 4.51/1.56  % (3424431)Instruction limit reached! 
% 4.51/1.56  % (3424431)------------------------------
% 4.51/1.56  % (3424431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.77  % (3424431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.77  % (3424431)CaDiCaL version: 2.1.3
% 6.10/1.77  % (3424431)Termination reason: Instruction limit
% 6.10/1.77  % (3424431)Termination phase: Saturation
% 6.10/1.77  % (3424431)Time elapsed: 0.008 s
% 6.10/1.77  % (3424431)Peak memory usage: 89 MB
% 6.10/1.77  % (3424431)Instructions burned: 15 (million)
% 6.10/1.77  % (3424439)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3879010506:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 6.10/1.77  % (3424439)Instruction limit reached! 
% 6.10/1.77  % (3424439)------------------------------
% 6.10/1.77  % (3424439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.77  % (3424439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.77  % (3424439)CaDiCaL version: 2.1.3
% 6.10/1.77  % (3424439)Termination reason: Instruction limit
% 6.10/1.77  % (3424439)Termination phase: Saturation
% 6.10/1.77  % (3424439)Time elapsed: 0.012 s
% 6.10/1.77  % (3424439)Peak memory usage: 89 MB
% 6.10/1.77  % (3424439)Instructions burned: 17 (million)
% 6.10/1.77  % (3424435)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2614578347:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 6.10/1.77  % (3424420)Instruction limit reached! 
% 6.10/1.77  % (3424420)------------------------------
% 6.10/1.77  % (3424420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.77  % (3424420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.77  % (3424420)CaDiCaL version: 2.1.3
% 6.10/1.77  % (3424420)Termination reason: Instruction limit
% 6.10/1.77  % (3424420)Termination phase: Saturation
% 6.10/1.77  % (3424420)Time elapsed: 0.240 s
% 6.10/1.77  % (3424420)Peak memory usage: 118 MB
% 6.10/1.77  % (3424420)Instructions burned: 202 (million)
% 6.10/1.77  % (3424447)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=320054170:i=85:gtgl=4:rtra=on:gtg=exists_sym_2997 on theBenchmark for (2997ds/85Mi)
% 6.10/1.77  % (3424442)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=1658894833:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 6.10/1.77  % (3424435)Instruction limit reached! 
% 6.10/1.77  % (3424435)------------------------------
% 6.10/1.77  % (3424435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.77  % (3424435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.77  % (3424435)CaDiCaL version: 2.1.3
% 6.10/1.77  % (3424435)Termination reason: Instruction limit
% 6.10/1.77  % (3424435)Termination phase: Saturation
% 6.10/1.77  % (3424435)Time elapsed: 0.031 s
% 6.10/1.77  % (3424435)Peak memory usage: 89 MB
% 6.10/1.77  % (3424435)Instructions burned: 29 (million)
% 6.10/1.77  % (3424442)Instruction limit reached! 
% 6.10/1.77  % (3424442)------------------------------
% 6.10/1.77  % (3424442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.77  % (3424442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.77  % (3424442)CaDiCaL version: 2.1.3
% 6.10/1.77  % (3424442)Termination reason: Instruction limit
% 6.10/1.77  % (3424442)Termination phase: Saturation
% 6.10/1.77  % (3424442)Time elapsed: 0.023 s
% 6.10/1.77  % (3424442)Peak memory usage: 89 MB
% 6.10/1.77  % (3424442)Instructions burned: 25 (million)
% 6.10/1.77  % (3424447)Instruction limit reached! 
% 6.10/1.77  % (3424447)------------------------------
% 6.10/1.77  % (3424447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.77  % (3424447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.77  % (3424447)CaDiCaL version: 2.1.3
% 6.10/1.77  % (3424447)Termination reason: Instruction limit
% 6.10/1.77  % (3424447)Termination phase: Saturation
% 6.10/1.77  % (3424447)Time elapsed: 0.032 s
% 6.10/1.77  % (3424447)Peak memory usage: 89 MB
% 6.10/1.77  % (3424447)Instructions burned: 87 (million)
% 6.10/1.77  % (3424444)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=945290558:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 6.10/1.77  % (3424452)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=2266065839:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2996 on theBenchmark for (2996ds/2Mi)
% 7.02/2.01  % (3424452)Instruction limit reached! 
% 7.02/2.01  % (3424452)------------------------------
% 7.02/2.01  % (3424452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.02/2.01  % (3424452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.02/2.01  % (3424452)CaDiCaL version: 2.1.3
% 7.02/2.01  % (3424452)Termination reason: Instruction limit
% 7.02/2.01  % (3424452)Termination phase: shuffling
% 7.02/2.01  % (3424452)Time elapsed: 0.001 s
% 7.02/2.01  % (3424452)Peak memory usage: 85 MB
% 7.02/2.01  % (3424452)Instructions burned: 2 (million)
% 7.02/2.01  % (3424444)Instruction limit reached! 
% 7.02/2.01  % (3424444)------------------------------
% 7.02/2.01  % (3424444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.02/2.01  % (3424444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.02/2.01  % (3424444)CaDiCaL version: 2.1.3
% 7.02/2.01  % (3424444)Termination reason: Instruction limit
% 7.02/2.01  % (3424444)Termination phase: Saturation
% 7.02/2.01  % (3424444)Time elapsed: 0.029 s
% 7.02/2.01  % (3424444)Peak memory usage: 89 MB
% 7.02/2.01  % (3424444)Instructions burned: 27 (million)
% 7.02/2.01  % (3424419)Instruction limit reached! 
% 7.02/2.01  % (3424419)------------------------------
% 7.02/2.01  % (3424419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.02/2.01  % (3424419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.02/2.01  % (3424419)CaDiCaL version: 2.1.3
% 7.02/2.01  % (3424419)Termination reason: Instruction limit
% 7.02/2.01  % (3424419)Termination phase: Saturation
% 7.02/2.01  % (3424419)Time elapsed: 0.339 s
% 7.02/2.01  % (3424419)Peak memory usage: 117 MB
% 7.02/2.01  % (3424419)Instructions burned: 307 (million)
% 7.02/2.01  % (3424465)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=3357848078:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2994 on theBenchmark for (2994ds/8Mi)
% 7.02/2.01  % (3424465)Instruction limit reached! 
% 7.02/2.01  % (3424465)------------------------------
% 7.02/2.01  % (3424465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.02/2.01  % (3424465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.02/2.01  % (3424465)CaDiCaL version: 2.1.3
% 7.02/2.01  % (3424465)Termination reason: Instruction limit
% 7.02/2.01  % (3424465)Termination phase: Saturation
% 7.02/2.01  % (3424465)Time elapsed: 0.006 s
% 7.02/2.01  % (3424465)Peak memory usage: 88 MB
% 7.02/2.01  % (3424465)Instructions burned: 10 (million)
% 7.02/2.01  % (3424460)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=3693012781:i=4:ep=RST:ins=2:rtra=on_2995 on theBenchmark for (2995ds/4Mi)
% 7.02/2.01  % (3424458)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=123211553:i=181:rtra=on:ss=axioms:ev=cautious_2995 on theBenchmark for (2995ds/181Mi)
% 7.02/2.01  % (3424461)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=2831693608:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2995 on theBenchmark for (2995ds/66Mi)
% 7.02/2.01  % (3424460)Instruction limit reached! 
% 7.02/2.01  % (3424460)------------------------------
% 7.02/2.01  % (3424460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.02/2.01  % (3424460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.02/2.01  % (3424460)CaDiCaL version: 2.1.3
% 7.02/2.01  % (3424460)Termination reason: Instruction limit
% 7.02/2.01  % (3424460)Termination phase: Property scanning
% 7.02/2.01  % (3424460)Time elapsed: 0.003 s
% 7.02/2.01  % (3424460)Peak memory usage: 87 MB
% 7.02/2.01  % (3424460)Instructions burned: 5 (million)
% 7.02/2.01  % (3424462)lrs+10_1_thi=all:si=on:fd=off:random_seed=3506138922:i=53:rtra=on:gtg=all_2995 on theBenchmark for (2995ds/53Mi)
% 7.02/2.01  % (3424468)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=293034679:st=3:i=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/2Mi)
% 7.02/2.01  % (3424468)Instruction limit reached! 
% 7.02/2.01  % (3424468)------------------------------
% 7.02/2.01  % (3424468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.02/2.01  % (3424468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.02/2.01  % (3424468)CaDiCaL version: 2.1.3
% 7.02/2.01  % (3424468)Termination reason: Instruction limit
% 7.02/2.01  % (3424468)Termination phase: Property scanning
% 9.07/2.29  % (3424468)Time elapsed: 0.003 s
% 9.07/2.29  % (3424468)Peak memory usage: 86 MB
% 9.07/2.29  % (3424468)Instructions burned: 3 (million)
% 9.07/2.29  % (3424470)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=1174387903:i=2:doe=on:canc=force:asg=cautious:rtra=on_2994 on theBenchmark for (2994ds/2Mi)
% 9.07/2.29  % (3424470)Instruction limit reached! 
% 9.07/2.29  % (3424470)------------------------------
% 9.07/2.29  % (3424470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.07/2.29  % (3424470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/2.29  % (3424470)CaDiCaL version: 2.1.3
% 9.07/2.29  % (3424470)Termination reason: Instruction limit
% 9.07/2.29  % (3424470)Termination phase: Unused predicate definition removal
% 9.07/2.29  % (3424470)Time elapsed: 0.002 s
% 9.07/2.29  % (3424470)Peak memory usage: 85 MB
% 9.07/2.29  % (3424470)Instructions burned: 2 (million)
% 9.07/2.29  % (3424461)Instruction limit reached! 
% 9.07/2.29  % (3424461)------------------------------
% 9.07/2.29  % (3424461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.07/2.29  % (3424461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/2.29  % (3424461)CaDiCaL version: 2.1.3
% 9.07/2.29  % (3424461)Termination reason: Instruction limit
% 9.07/2.29  % (3424461)Termination phase: Saturation
% 9.07/2.29  % (3424461)Time elapsed: 0.121 s
% 9.07/2.29  % (3424461)Peak memory usage: 134 MB
% 9.07/2.29  % (3424461)Instructions burned: 66 (million)
% 9.07/2.29  % (3424462)Instruction limit reached! 
% 9.07/2.29  % (3424462)------------------------------
% 9.07/2.29  % (3424462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.07/2.29  % (3424462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/2.29  % (3424462)CaDiCaL version: 2.1.3
% 9.07/2.29  % (3424462)Termination reason: Instruction limit
% 9.07/2.29  % (3424462)Termination phase: Saturation
% 9.07/2.29  % (3424462)Time elapsed: 0.092 s
% 9.07/2.29  % (3424462)Peak memory usage: 116 MB
% 9.07/2.29  % (3424462)Instructions burned: 53 (million)
% 9.07/2.29  % (3424480)lrs+1011_16:1_to=kbo:sil=128000:sas=z3:si=on:sos=theory:erd=off:urr=full:random_seed=32614721:i=127:doe=on:rtra=on_2993 on theBenchmark for (2993ds/127Mi)
% 9.07/2.29  % (3424481)dis+10_1_si=on:random_seed=2445928229:i=10:ep=R:rtra=on_2993 on theBenchmark for (2993ds/10Mi)
% 9.07/2.29  % (3424481)Instruction limit reached! 
% 9.07/2.29  % (3424481)------------------------------
% 9.07/2.29  % (3424481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.07/2.29  % (3424481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/2.29  % (3424481)CaDiCaL version: 2.1.3
% 9.07/2.29  % (3424481)Termination reason: Instruction limit
% 9.07/2.29  % (3424481)Termination phase: Saturation
% 9.07/2.29  % (3424481)Time elapsed: 0.006 s
% 9.07/2.29  % (3424481)Peak memory usage: 88 MB
% 9.07/2.29  % (3424481)Instructions burned: 11 (million)
% 9.07/2.29  % (3424458)Instruction limit reached! 
% 9.07/2.29  % (3424458)------------------------------
% 9.07/2.29  % (3424458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.07/2.29  % (3424458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/2.29  % (3424458)CaDiCaL version: 2.1.3
% 9.07/2.29  % (3424458)Termination reason: Instruction limit
% 9.07/2.29  % (3424458)Termination phase: Saturation
% 9.07/2.29  % (3424458)Time elapsed: 0.195 s
% 9.07/2.30  % (3424458)Peak memory usage: 91 MB
% 9.07/2.30  % (3424458)Instructions burned: 181 (million)
% 9.07/2.30  % (3424490)dis+21_1_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=off:s2agt=16:random_seed=2681912944:s2a=on:i=8:kws=inv_precedence:doe=on:rtra=on_2992 on theBenchmark for (2992ds/8Mi)
% 9.07/2.30  % (3424484)lrs-1011_64_to=lpo:si=on:sp=unary_first:sos=on:br=off:random_seed=3187167916:i=26:canc=cautious:av=off:rtra=on_2992 on theBenchmark for (2992ds/26Mi)
% 9.07/2.30  % (3424490)Instruction limit reached! 
% 9.07/2.30  % (3424490)------------------------------
% 9.07/2.30  % (3424490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.07/2.30  % (3424490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/2.30  % (3424490)CaDiCaL version: 2.1.3
% 9.07/2.30  % (3424490)Termination reason: Instruction limit
% 9.07/2.30  % (3424490)Termination phase: Saturation
% 9.07/2.30  % (3424490)Time elapsed: 0.005 s
% 9.07/2.30  % (3424490)Peak memory usage: 88 MB
% 9.07/2.30  % (3424490)Instructions burned: 8 (million)
% 9.07/2.30  % (3424484)Refutation not found, incomplete strategy
% 9.07/2.30  % (3424484)------------------------------
% 11.23/2.66  % (3424484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.66  % (3424484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.66  % (3424484)CaDiCaL version: 2.1.3
% 11.23/2.66  % (3424484)Termination reason: Refutation not found, incomplete strategy
% 11.23/2.66  % (3424484)Time elapsed: 0.010 s
% 11.23/2.66  % (3424484)Peak memory usage: 89 MB
% 11.23/2.66  % (3424484)Instructions burned: 7 (million)
% 11.23/2.66  % (3424480)Instruction limit reached! 
% 11.23/2.66  % (3424480)------------------------------
% 11.23/2.66  % (3424480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.66  % (3424480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.66  % (3424480)CaDiCaL version: 2.1.3
% 11.23/2.66  % (3424480)Termination reason: Instruction limit
% 11.23/2.66  % (3424480)Termination phase: Saturation
% 11.23/2.66  % (3424480)Time elapsed: 0.174 s
% 11.23/2.66  % (3424480)Peak memory usage: 118 MB
% 11.23/2.66  % (3424480)Instructions burned: 127 (million)
% 11.23/2.66  % (3424491)lrs-1011_1_to=kbo:sil=128000:prc=on:si=on:fs=off:tha=off:random_seed=769754874:i=370:ep=RS:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/370Mi)
% 11.23/2.66  % (3424486)dis+1011_5_anc=all:tgt=full:si=on:sp=const_frequency:spb=non_intro:fd=preordered:sac=on:random_seed=3535761509:avsq=on:i=35:doe=on:thsqd=64:nm=64:fsr=off:thsqc=32:rtra=on:tac=light:ss=included:thsq=on:ev=off:sgt=32_2992 on theBenchmark for (2992ds/35Mi)
% 11.23/2.66  % (3424489)ott+10_8:1_to=lpo:sil=128000:si=on:fs=off:spb=goal_then_units:uwa=alasca_main:random_seed=3220808074:i=2:fsr=off:rtra=on:inst=on_2992 on theBenchmark for (2992ds/2Mi)
% 11.23/2.66  % (3424489)Instruction limit reached! 
% 11.23/2.66  % (3424489)------------------------------
% 11.23/2.66  % (3424489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.66  % (3424489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.66  % (3424489)CaDiCaL version: 2.1.3
% 11.23/2.66  % (3424489)Termination reason: Instruction limit
% 11.23/2.66  % (3424489)Termination phase: Preprocessing 2
% 11.23/2.66  % (3424489)Time elapsed: 0.002 s
% 11.23/2.66  % (3424489)Peak memory usage: 86 MB
% 11.23/2.66  % (3424489)Instructions burned: 2 (million)
% 11.23/2.66  % (3424486)Instruction limit reached! 
% 11.23/2.66  % (3424486)------------------------------
% 11.23/2.66  % (3424486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.66  % (3424486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.66  % (3424486)CaDiCaL version: 2.1.3
% 11.23/2.66  % (3424486)Termination reason: Instruction limit
% 11.23/2.66  % (3424486)Termination phase: Saturation
% 11.23/2.66  % (3424486)Time elapsed: 0.046 s
% 11.23/2.66  % (3424486)Peak memory usage: 89 MB
% 11.23/2.66  % (3424486)Instructions burned: 35 (million)
% 11.23/2.66  % (3424496)ott+1002_1_to=lpo:thi=overlap:prc=on:bsd=on:si=on:gve=cautious:thigen=on:tha=some:random_seed=2250480752:i=13:av=off:rtra=on:gtg=exists_sym:ev=force_2991 on theBenchmark for (2991ds/13Mi)
% 11.23/2.66  % (3424501)lrs+1002_1_to=lpo:sil=128000:sas=z3:si=on:sos=on:urr=on:tha=off:random_seed=3370079416:i=226:rtra=on:gtg=position:ss=axioms_2990 on theBenchmark for (2990ds/226Mi)
% 11.23/2.66  % (3424496)Instruction limit reached! 
% 11.23/2.66  % (3424496)------------------------------
% 11.23/2.66  % (3424496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.66  % (3424496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.66  % (3424496)CaDiCaL version: 2.1.3
% 11.23/2.66  % (3424496)Termination reason: Instruction limit
% 11.23/2.66  % (3424496)Termination phase: Saturation
% 11.23/2.66  % (3424496)Time elapsed: 0.042 s
% 11.23/2.66  % (3424496)Peak memory usage: 112 MB
% 11.23/2.66  % (3424496)Instructions burned: 14 (million)
% 11.23/2.66  % (3424507)lrs+1010_1_to=lpo:prlc=on:sil=128000:prc=on:drc=off:si=on:sp=const_max:thsqr=8,1:tha=some:nwc=5:random_seed=1936670875:i=75:doe=on:thsqd=64:canc=force:thsqc=64:rtra=on:thsq=on_2989 on theBenchmark for (2989ds/75Mi)
% 11.23/2.66  % (3424504)lrs+1010_5_to=lpo:sil=128000:si=on:sp=const_frequency:sos=theory:tha=off:random_seed=4198099891:i=10:rtra=on_2990 on theBenchmark for (2990ds/10Mi)
% 11.23/2.66  % (3424504)Instruction limit reached! 
% 11.23/2.66  % (3424504)------------------------------
% 11.23/2.66  % (3424504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.66  % (3424504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.03  % (3424504)CaDiCaL version: 2.1.3
% 13.15/3.03  % (3424504)Termination reason: Instruction limit
% 13.15/3.03  % (3424504)Termination phase: Saturation
% 13.15/3.03  % (3424504)Time elapsed: 0.012 s
% 13.15/3.03  % (3424504)Peak memory usage: 88 MB
% 13.15/3.03  % (3424504)Instructions burned: 11 (million)
% 13.15/3.03  % (3424506)lrs+1002_1_to=lpo:thi=strong:sas=z3:si=on:sp=const_frequency:tha=off:random_seed=2665738064:i=71:rtra=on:gtg=exists_top_2990 on theBenchmark for (2990ds/71Mi)
% 13.15/3.03  % (3424501)Instruction limit reached! 
% 13.15/3.03  % (3424501)------------------------------
% 13.15/3.03  % (3424501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.03  % (3424501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.03  % (3424501)CaDiCaL version: 2.1.3
% 13.15/3.03  % (3424501)Termination reason: Instruction limit
% 13.15/3.03  % (3424501)Termination phase: Saturation
% 13.15/3.03  % (3424501)Time elapsed: 0.119 s
% 13.15/3.03  % (3424501)Peak memory usage: 119 MB
% 13.15/3.03  % (3424501)Instructions burned: 228 (million)
% 13.15/3.03  % (3424507)Instruction limit reached! 
% 13.15/3.03  % (3424507)------------------------------
% 13.15/3.03  % (3424507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.03  % (3424507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.03  % (3424507)CaDiCaL version: 2.1.3
% 13.15/3.03  % (3424507)Termination reason: Instruction limit
% 13.15/3.03  % (3424507)Termination phase: Saturation
% 13.15/3.03  % (3424507)Time elapsed: 0.067 s
% 13.15/3.03  % (3424507)Peak memory usage: 90 MB
% 13.15/3.03  % (3424507)Instructions burned: 76 (million)
% 13.15/3.03  % (3424491)Instruction limit reached! 
% 13.15/3.03  % (3424491)------------------------------
% 13.15/3.03  % (3424491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.03  % (3424491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.03  % (3424491)CaDiCaL version: 2.1.3
% 13.15/3.03  % (3424491)Termination reason: Instruction limit
% 13.15/3.03  % (3424491)Termination phase: Saturation
% 13.15/3.03  % (3424491)Time elapsed: 0.300 s
% 13.15/3.03  % (3424491)Peak memory usage: 91 MB
% 13.15/3.03  % (3424491)Instructions burned: 371 (million)
% 13.15/3.03  % (3424512)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2913829976:i=294:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2988 on theBenchmark for (2988ds/294Mi)
% 13.15/3.03  % (3424520)ott+21_1_to=kbo:tgt=full:sas=z3:si=on:tha=off:random_seed=2365163518:i=130:kws=inv_frequency:nm=0:rtra=on:gtg=exists_all_2988 on theBenchmark for (2988ds/130Mi)
% 13.15/3.03  % (3424506)Instruction limit reached! 
% 13.15/3.03  % (3424506)------------------------------
% 13.15/3.03  % (3424506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.03  % (3424506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.03  % (3424506)CaDiCaL version: 2.1.3
% 13.15/3.03  % (3424506)Termination reason: Instruction limit
% 13.15/3.03  % (3424506)Termination phase: Saturation
% 13.15/3.03  % (3424506)Time elapsed: 0.142 s
% 13.15/3.03  % (3424506)Peak memory usage: 133 MB
% 13.15/3.03  % (3424506)Instructions burned: 71 (million)
% 13.15/3.03  % (3424484)------------------------------
% 13.15/3.03  % (3424484)------------------------------
% 13.15/3.03  % (3424521)lrs+21_1_to=kbo:sil=64000:thi=all:sas=z3:si=on:spb=goal_then_units:tha=off:nwc=3:random_seed=897725783:i=131:rtra=on_2987 on theBenchmark for (2987ds/131Mi)
% 13.15/3.03  % (3424522)dis+1010_16_to=lpo:sil=64000:thi=strong:sas=z3:si=on:nwc=5:random_seed=2846025844:i=40:gtgl=2:rtra=on:gtg=exists_sym:ev=force_2987 on theBenchmark for (2987ds/40Mi)
% 13.15/3.03  % (3424520)Instruction limit reached! 
% 13.15/3.03  % (3424520)------------------------------
% 13.15/3.03  % (3424520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.03  % (3424520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.15/3.03  % (3424520)CaDiCaL version: 2.1.3
% 13.15/3.03  % (3424520)Termination reason: Instruction limit
% 13.15/3.03  % (3424520)Termination phase: Saturation
% 13.15/3.03  % (3424520)Time elapsed: 0.126 s
% 13.15/3.03  % (3424520)Peak memory usage: 117 MB
% 13.15/3.03  % (3424520)Instructions burned: 131 (million)
% 13.15/3.03  % (3424521)Instruction limit reached! 
% 13.15/3.03  % (3424521)------------------------------
% 13.15/3.03  % (3424521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.15/3.03  % (3424521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/3.18  % (3424521)CaDiCaL version: 2.1.3
% 16.56/3.18  % (3424521)Termination reason: Instruction limit
% 16.56/3.18  % (3424521)Termination phase: Saturation
% 16.56/3.18  % (3424521)Time elapsed: 0.112 s
% 16.56/3.18  % (3424521)Peak memory usage: 134 MB
% 16.56/3.18  % (3424521)Instructions burned: 131 (million)
% 16.56/3.18  % (3424524)lrs+10_1_to=lpo:sil=64000:si=on:sos=on:urr=on:random_seed=3845170101:i=307:rtra=on:gtg=exists_top_2987 on theBenchmark for (2987ds/307Mi)
% 16.56/3.18  % (3424522)Instruction limit reached! 
% 16.56/3.18  % (3424522)------------------------------
% 16.56/3.18  % (3424522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.56/3.18  % (3424522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/3.18  % (3424522)CaDiCaL version: 2.1.3
% 16.56/3.18  % (3424522)Termination reason: Instruction limit
% 16.56/3.18  % (3424522)Termination phase: Saturation
% 16.56/3.18  % (3424522)Time elapsed: 0.102 s
% 16.56/3.18  % (3424522)Peak memory usage: 134 MB
% 16.56/3.18  % (3424522)Instructions burned: 40 (million)
% 16.56/3.18  % (3424529)ott+1010_3:1_to=kbo:sil=128000:thi=overlap:sas=z3:si=on:urr=on:tha=off:s2agt=32:random_seed=3813301205:s2a=on:i=598:doe=on:bs=on:canc=cautious:fsr=off:rtra=on_2986 on theBenchmark for (2986ds/598Mi)
% 16.56/3.18  % (3424534)lrs+1011_5:1_to=kbo:sil=64000:thi=all:si=on:uwa=ground:br=off:random_seed=3544854657:i=131:canc=cautious:fsr=off:rtra=on_2986 on theBenchmark for (2986ds/131Mi)
% 16.56/3.18  % (3424539)dis+11_1_to=lpo:pum=on:sas=z3:si=on:sp=reverse_arity:sos=theory:thsqr=2,1:tha=some:s2agt=20:random_seed=811388471:s2pl=no:i=259:sd=10:thsqd=64:thsqc=64:rtra=on:ss=axioms:thsq=on_2985 on theBenchmark for (2985ds/259Mi)
% 16.56/3.18  % (3424512)Instruction limit reached! 
% 16.56/3.18  % (3424512)------------------------------
% 16.56/3.18  % (3424512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.56/3.18  % (3424512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/3.18  % (3424512)CaDiCaL version: 2.1.3
% 16.56/3.18  % (3424512)Termination reason: Instruction limit
% 16.56/3.18  % (3424512)Termination phase: Saturation
% 16.56/3.18  % (3424512)Time elapsed: 0.302 s
% 16.56/3.18  % (3424512)Peak memory usage: 91 MB
% 16.56/3.18  % (3424512)Instructions burned: 294 (million)
% 16.56/3.18  % (3424540)dis+10_1_si=on:random_seed=216449869:s2a=on:i=1000:rtra=on:gtg=exists_all_2985 on theBenchmark for (2985ds/1000Mi)
% 16.56/3.18  % (3424534)Instruction limit reached! 
% 16.56/3.18  % (3424534)------------------------------
% 16.56/3.18  % (3424534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.56/3.18  % (3424534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/3.18  % (3424534)CaDiCaL version: 2.1.3
% 16.56/3.18  % (3424534)Termination reason: Instruction limit
% 16.56/3.18  % (3424534)Termination phase: Saturation
% 16.56/3.18  % (3424534)Time elapsed: 0.169 s
% 16.56/3.18  % (3424534)Peak memory usage: 117 MB
% 16.56/3.18  % (3424534)Instructions burned: 131 (million)
% 16.56/3.18  % (3424539)Instruction limit reached! 
% 16.56/3.18  % (3424539)------------------------------
% 16.56/3.18  % (3424539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.56/3.18  % (3424539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/3.18  % (3424539)CaDiCaL version: 2.1.3
% 16.56/3.18  % (3424539)Termination reason: Instruction limit
% 16.56/3.18  % (3424539)Termination phase: Saturation
% 16.56/3.18  % (3424539)Time elapsed: 0.162 s
% 16.56/3.18  % (3424539)Peak memory usage: 118 MB
% 16.56/3.18  % (3424539)Instructions burned: 260 (million)
% 16.56/3.18  % (3424543)dis+1010_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_frequency:uwa=off:tha=off:nwc=1:random_seed=977665517:i=383:fsr=off:rtra=on:ev=force_2984 on theBenchmark for (2984ds/383Mi)
% 16.56/3.18  % (3424524)Instruction limit reached! 
% 16.56/3.18  % (3424524)------------------------------
% 16.56/3.18  % (3424524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.56/3.18  % (3424524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/3.18  % (3424524)CaDiCaL version: 2.1.3
% 16.56/3.18  % (3424524)Termination reason: Instruction limit
% 16.56/3.18  % (3424524)Termination phase: Saturation
% 16.56/3.18  % (3424524)Time elapsed: 0.293 s
% 16.56/3.18  % (3424524)Peak memory usage: 92 MB
% 16.56/3.18  % (3424524)Instructions burned: 308 (million)
% 16.56/3.18  % (3424549)lrs+10_1_to=kbo:sil=64000:si=on:norm_ineq=on:sp=unary_frequency:random_seed=2187151856:i=141:doe=on:rtra=on_2983 on theBenchmark for (2983ds/141Mi)
% 16.56/3.18  % (3424555)dis+1010_1_anc=none:to=kbo:sil=128000:sas=z3:si=on:sos=on:gve=force:urr=on:uwa=one_side_interpreted:random_seed=1017437041:s2a=on:i=128:s2at=5:ins=3:rtra=on_2982 on theBenchmark for (2982ds/128Mi)
% 16.56/3.18  % (3424549)Instruction limit reached! 
% 16.56/3.18  % (3424549)------------------------------
% 16.56/3.18  % (3424549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.56/3.18  % (3424549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/3.18  % (3424549)CaDiCaL version: 2.1.3
% 16.56/3.18  % (3424549)Termination reason: Instruction limit
% 16.56/3.18  % (3424549)Termination phase: Saturation
% 16.56/3.18  % (3424549)Time elapsed: 0.135 s
% 16.56/3.18  % (3424549)Peak memory usage: 90 MB
% 16.56/3.18  % (3424549)Instructions burned: 141 (million)
% 16.56/3.18  % (3424553)dis+10_1_to=kbo:sil=128000:tgt=ground:fde=unused:si=on:tha=some:sac=on:random_seed=2356509788:i=121:nm=16:rtra=on_2982 on theBenchmark for (2982ds/121Mi)
% 16.56/3.18  % (3424552)lrs+10_1024_to=kbo:sil=128000:fde=unused:sas=z3:si=on:norm_ineq=on:sos=on:tha=off:random_seed=3424384350:i=65:nm=16:rtra=on_2982 on theBenchmark for (2982ds/65Mi)
% 16.56/3.18  % (3424552)Refutation not found, incomplete strategy
% 16.56/3.18  % (3424552)------------------------------
% 16.56/3.18  % (3424552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.56/3.18  % (3424552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/3.18  % (3424552)CaDiCaL version: 2.1.3
% 16.56/3.18  % (3424552)Termination reason: Refutation not found, incomplete strategy
% 16.56/3.18  % (3424552)Time elapsed: 0.043 s
% 16.56/3.18  % (3424552)Peak memory usage: 116 MB
% 16.56/3.18  % (3424552)Instructions burned: 14 (million)
% 16.56/3.18  % (3424543)Instruction limit reached! 
% 16.56/3.18  % (3424543)------------------------------
% 16.56/3.18  % (3424543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.56/3.18  % (3424543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/3.18  % (3424543)CaDiCaL version: 2.1.3
% 16.56/3.18  % (3424543)Termination reason: Instruction limit
% 16.56/3.18  % (3424543)Termination phase: Saturation
% 16.56/3.18  % (3424543)Time elapsed: 0.258 s
% 16.56/3.18  % (3424543)Peak memory usage: 93 MB
% 16.56/3.18  % (3424543)Instructions burned: 383 (million)
% 16.56/3.18  % (3424553)Instruction limit reached! 
% 16.56/3.18  % (3424553)------------------------------
% 16.56/3.18  % (3424553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.56/3.18  % (3424553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/3.18  % (3424553)CaDiCaL version: 2.1.3
% 16.56/3.18  % (3424553)Termination reason: Instruction limit
% 16.56/3.18  % (3424553)Termination phase: Saturation
% 16.56/3.18  % (3424553)Time elapsed: 0.070 s
% 16.56/3.18  % (3424553)Peak memory usage: 90 MB
% 16.56/3.18  % (3424553)Instructions burned: 122 (million)
% 16.56/3.18  % (3424555)First to succeed.
% 16.56/3.18  % (3424555)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3424371"
% 16.56/3.18  % (3424565)ott-1_8:1_tgt=ground:plsq=on:plsqc=2:sas=z3:si=on:plsqr=3,1:sos=on:inw=on:flr=on:random_seed=451875222:i=39:ins=3:rtra=on_2980 on theBenchmark for (2980ds/39Mi)
% 16.56/3.18  % (3424568)dis+1010_1_to=kbo:si=on:random_seed=1979342680:i=175:doe=on:nm=0:rtra=on:gtg=exists_sym:ss=axioms:ev=cautious_2979 on theBenchmark for (2979ds/175Mi)
% 16.56/3.18  % (3424529)Instruction limit reached! 
% 16.56/3.18  % (3424529)------------------------------
% 16.56/3.18  % (3424529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.56/3.18  % (3424529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/3.18  % (3424529)CaDiCaL version: 2.1.3
% 16.56/3.18  % (3424529)Termination reason: Instruction limit
% 16.56/3.18  % (3424529)Termination phase: Saturation
% 16.56/3.18  % (3424529)Time elapsed: 0.639 s
% 16.56/3.18  % (3424529)Peak memory usage: 140 MB
% 16.56/3.18  % (3424529)Instructions burned: 599 (million)
% 16.56/3.18  % (3424565)Instruction limit reached! 
% 16.56/3.18  % (3424565)------------------------------
% 16.56/3.18  % (3424565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.56/3.18  % (3424565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/3.18  % (3424565)CaDiCaL version: 2.1.3
% 16.56/3.18  % (3424565)Termination reason: Instruction limit
% 16.56/3.18  % (3424565)Termination phase: Saturation
% 16.56/3.18  % (3424565)Time elapsed: 0.049 s
% 16.56/3.18  % (3424565)Peak memory usage: 116 MB
% 16.56/3.18  % (3424565)Instructions burned: 39 (million)
% 16.56/3.18  % (3424569)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3031595420:i=329:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/329Mi)
% 16.56/3.18  % (3424568)Instruction limit reached! 
% 16.56/3.18  % (3424568)------------------------------
% 16.56/3.18  % (3424568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.56/3.18  % (3424568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.56/3.18  % (3424568)CaDiCaL version: 2.1.3
% 16.56/3.18  % (3424568)Termination reason: Instruction limit
% 16.56/3.18  % (3424568)Termination phase: Saturation
% 16.56/3.18  % (3424568)Time elapsed: 0.069 s
% 16.56/3.18  % (3424568)Peak memory usage: 91 MB
% 16.56/3.18  % (3424568)Instructions burned: 177 (million)
% 16.56/3.18  % (3424552)------------------------------
% 16.56/3.18  % (3424552)------------------------------
% 16.56/3.18  % (3424577)lrs+1011_1_to=kbo:sil=128000:sas=z3:si=on:norm_ineq=on:sp=unary_frequency:tha=off:random_seed=3634779958:i=349:rtra=on_2977 on theBenchmark for (2977ds/349Mi)
% 16.56/3.18  % (3424575)lrs+10_40_anc=all:to=kbo:tgt=ground:thi=overlap:sas=z3:si=on:thigen=on:random_seed=1554938261:thitd=on:i=215:nm=0:rtra=on:ev=force_2977 on theBenchmark for (2977ds/215Mi)
% 16.56/3.18  % (3424574)lrs+1002_8_to=kbo:sil=128000:thi=all:drc=ordering:sas=z3:si=on:tha=off:rp=on:random_seed=1183416253:s2a=on:i=483:doe=on:nm=32:rtra=on_2977 on theBenchmark for (2977ds/483Mi)
% 16.56/3.18  % (3424555)Refutation found. Thanks to Tanya!
% 16.56/3.18  % SZS status Theorem for theBenchmark
% 16.56/3.18  % SZS output start Proof for theBenchmark
% See solution above
% 17.27/3.38  % (3424555)------------------------------
% 17.27/3.38  % (3424555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.27/3.38  % (3424555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.27/3.38  % (3424555)CaDiCaL version: 2.1.3
% 17.27/3.38  % (3424555)Termination reason: Refutation
% 17.27/3.38  % (3424555)Time elapsed: 0.151 s
% 17.27/3.38  % (3424555)Peak memory usage: 120 MB
% 17.27/3.38  % (3424555)Instructions burned: 126 (million)
% 17.27/3.38  % (3424555)------------------------------
% 17.27/3.38  % (3424555)------------------------------
% 17.27/3.38  % (3424371)Success in time 2.351 s
% 17.27/3.38  % Vampire exiting
%------------------------------------------------------------------------------