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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ALG267^2 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 : Wed Sep 30 07:45:17 AM UTC 2026

% Result   : Theorem 1.46s 0.54s
% Output   : Refutation 1.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   46 (  23 unt;   0 typ;   5 def)
%            Number of atoms       :  127 (  42 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  187 (  36   ~;  24   |;   0   &; 112   @)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   56 (  56   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  149 ( 144 usr; 121 con; 0-4 aty)
%                                         (   4  !!;   6  ??;   0 @@+;   0 @@-)
%            Number of variables   :   28 (   0 sgn  15   !;   1   ?;  28   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    term: $tType ).

thf(type_def_6,type,
    subst: $tType ).

thf(type_def_7,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    one: term ).

thf(func_def_1,type,
    ap: term > term > term ).

thf(func_def_2,type,
    lam: term > term ).

thf(func_def_3,type,
    sub: term > subst > term ).

thf(func_def_4,type,
    id: subst ).

thf(func_def_5,type,
    sh: subst ).

thf(func_def_6,type,
    push: term > subst > subst ).

thf(func_def_7,type,
    comp: subst > subst > subst ).

thf(func_def_8,type,
    var: term > $o ).

thf(func_def_9,type,
    pushprop_lem1v2: $o ).

thf(func_def_10,type,
    pushprop_lem1_gthm: $o ).

thf(func_def_11,type,
    axmap: $o ).

thf(func_def_12,type,
    pushprop_lem0_gthm: $o ).

thf(func_def_13,type,
    shinj: $o ).

thf(func_def_14,type,
    hoasinduction_lem1v2: $o ).

thf(func_def_15,type,
    hoasinduction_lem1v2_gthm: $o ).

thf(func_def_16,type,
    hoasap: subst > term > subst > term > term ).

thf(func_def_17,type,
    induction2lem: $o ).

thf(func_def_18,type,
    hoasinduction_lem3v2_f: $o ).

thf(func_def_19,type,
    axvarshift: $o ).

thf(func_def_20,type,
    hoasapinj2: $o ).

thf(func_def_21,type,
    hoasapnotvar_gthm: $o ).

thf(func_def_22,type,
    hoasapinj1: $o ).

thf(func_def_23,type,
    ulamvar1: $o ).

thf(func_def_24,type,
    induction2lem_lthm: $o ).

thf(func_def_25,type,
    hoasinduction_lem3v2_gthm: $o ).

thf(func_def_26,type,
    apnotvar: $o ).

thf(func_def_27,type,
    pushprop_lthm_orig: $o ).

thf(func_def_28,type,
    hoasinduction_lem3v2_f_lthm: $o ).

thf(func_def_29,type,
    hoasinduction_lthm: $o ).

thf(func_def_30,type,
    hoasinduction_no_psi_cond_lthm: $o ).

thf(func_def_31,type,
    hoaslaminj: $o ).

thf(func_def_32,type,
    hoasinduction_lem3aaa: $o ).

thf(func_def_33,type,
    induction2lem_gthm: $o ).

thf(func_def_34,type,
    hoasinduction_lem3aa_lthm: $o ).

thf(func_def_35,type,
    hoasinduction_lem3: $o ).

thf(func_def_36,type,
    hoasinduction_lem2: $o ).

thf(func_def_37,type,
    termmset_lthm: $o ).

thf(func_def_38,type,
    hoasinduction_lem1: $o ).

thf(func_def_39,type,
    hoaslamnotap_lthm: $o ).

thf(func_def_40,type,
    pushprop_lem1v2_lthm: $o ).

thf(func_def_41,type,
    hoasapnotvar: $o ).

thf(func_def_42,type,
    hoasinduction_lem0: $o ).

thf(func_def_43,type,
    hoasinduction: $o ).

thf(func_def_44,type,
    hoasinduction_gthm: $o ).

thf(func_def_45,type,
    axapp: $o ).

thf(func_def_46,type,
    hoaslamnotvar_lthm: $o ).

thf(func_def_47,type,
    pushprop_lem3v2_lthm: $o ).

thf(func_def_48,type,
    hoasinduction_lem3b_lthm: $o ).

thf(func_def_49,type,
    ulamvarind: $o ).

thf(func_def_50,type,
    induction: $o ).

thf(func_def_51,type,
    hoasinduction_lem3a_lthm: $o ).

thf(func_def_52,type,
    termmset_gthm: $o ).

thf(func_def_53,type,
    hoasinduction_lem3aa: $o ).

thf(func_def_54,type,
    pushprop_lem1v2_gthm: $o ).

thf(func_def_55,type,
    hoaslamnotap_gthm: $o ).

thf(func_def_56,type,
    hoaslamnotvar_gthm: $o ).

thf(func_def_57,type,
    hoasinduction_lem3b_gthm: $o ).

thf(func_def_58,type,
    pushprop_lem2v2: $o ).

thf(func_def_59,type,
    hoasinduction_lem3a_gthm: $o ).

thf(func_def_60,type,
    axclos: $o ).

thf(func_def_61,type,
    axassoc: $o ).

thf(func_def_62,type,
    hoasinduction_lem2v2: $o ).

thf(func_def_63,type,
    pushprop_lthm: $o ).

thf(func_def_64,type,
    apinj2: $o ).

thf(func_def_65,type,
    apinj1: $o ).

thf(func_def_66,type,
    hoasapinj2_lthm: $o ).

thf(func_def_67,type,
    hoasinduction_lem3v2a: $o ).

thf(func_def_68,type,
    hoasapinj1_lthm: $o ).

thf(func_def_69,type,
    hoaslaminj_lthm: $o ).

thf(func_def_70,type,
    axvarcons: $o ).

thf(func_def_71,type,
    hoaslam: subst > ( subst > term > term ) > term ).

thf(func_def_72,type,
    axscons: $o ).

thf(func_def_73,type,
    hoasinduction_lem2v2_gthm: $o ).

thf(func_def_74,type,
    axidr: $o ).

thf(func_def_75,type,
    pushprop_lem1: $o ).

thf(func_def_76,type,
    laminj: $o ).

thf(func_def_77,type,
    hoasinduction_lem3_lthm: $o ).

thf(func_def_78,type,
    pushprop_lem0: $o ).

thf(func_def_79,type,
    pushprop_gthm: $o ).

thf(func_def_80,type,
    axabs: $o ).

thf(func_def_81,type,
    hoasinduction_lem3v2a_lthm: $o ).

thf(func_def_82,type,
    hoasinduction_lem2_lthm: $o ).

thf(func_def_83,type,
    hoasapinj2_gthm: $o ).

thf(func_def_84,type,
    hoasinduction_p_and_p_prime: ( subst > term > subst > $o ) > ( term > $o ) > $o ).

thf(func_def_85,type,
    hoasinduction_lem1_lthm: $o ).

thf(func_def_86,type,
    lamnotap: $o ).

thf(func_def_87,type,
    hoasapinj1_gthm: $o ).

thf(func_def_88,type,
    hoaslamnotvar: $o ).

thf(func_def_89,type,
    axidl: $o ).

thf(func_def_90,type,
    hoaslaminj_gthm: $o ).

thf(func_def_91,type,
    induction2_lthm: $o ).

thf(func_def_92,type,
    hoasinduction_lem0_lthm: $o ).

thf(func_def_93,type,
    substmonoid_lthm: $o ).

thf(func_def_94,type,
    pushprop: $o ).

thf(func_def_95,type,
    hoasinduction_lem3_gthm: $o ).

thf(func_def_96,type,
    hoasinduction_lem2_gthm: $o ).

thf(func_def_97,type,
    hoasinduction_lem3b: $o ).

thf(func_def_98,type,
    substmonoid: $o ).

thf(func_def_99,type,
    lamnotvar: $o ).

thf(func_def_100,type,
    hoasinduction_lem3a: $o ).

thf(func_def_101,type,
    hoasinduction_lem1_gthm: $o ).

thf(func_def_102,type,
    hoasinduction_no_psi_cond: $o ).

thf(func_def_103,type,
    induction2_gthm: $o ).

thf(func_def_104,type,
    pushprop_lem2v2_lthm: $o ).

thf(func_def_105,type,
    hoasvar: subst > term > subst > $o ).

thf(func_def_106,type,
    hoaslamnotap: $o ).

thf(func_def_107,type,
    substmonoid_gthm: $o ).

thf(func_def_108,type,
    ulamvarsh: $o ).

thf(func_def_109,type,
    induction2: $o ).

thf(func_def_110,type,
    pushprop_lem3v2: $o ).

thf(func_def_111,type,
    pushprop_lem2v2_gthm: $o ).

thf(func_def_112,type,
    pushprop_lem1_lthm: $o ).

thf(func_def_113,type,
    hoasinduction_lem3v2: $o ).

thf(func_def_114,type,
    axshiftcons: $o ).

thf(func_def_115,type,
    termmset: $o ).

thf(func_def_116,type,
    pushprop_lem0_lthm: $o ).

thf(func_def_117,type,
    hoasapnotvar_lthm: $o ).

thf(func_def_118,type,
    hoasinduction_lem3v2_lthm: $o ).

thf(func_def_119,type,
    pushprop_p_and_p_prime: term > subst > ( term > $o ) > ( term > $o ) > $o ).

thf(func_def_120,type,
    axvarid: $o ).

thf(func_def_121,type,
    hoasinduction_lthm_3: $o ).

thf(func_def_123,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_124,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_125,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_126,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_127,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_128,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_129,type,
    vIFF: $o > $o > $o ).

thf(func_def_130,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_131,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_132,type,
    vIMP: $o > $o > $o ).

thf(func_def_135,type,
    vNOT: $o > $o ).

thf(func_def_136,type,
    vAND: $o > $o > $o ).

thf(func_def_137,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_138,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_139,type,
    sK0: term > subst > term > term ).

thf(func_def_140,type,
    sK1: term ).

thf(f105,axiom,
    ( hoasinduction_lem3b
    = ( ! [X0: term] :
        ? [X1: subst > term > term] :
          ( ( sub @ X0 @ ( push @ one @ sh ) )
          = ( X1 @ sh @ one ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasinduction_lem3b) ).

thf(f107,axiom,
    hoasinduction_lem3b_lthm = hoasinduction_lem3b,
    file('/export/starexec/sandbox/benchmark/Axioms/ALG003^0.ax',hoasinduction_lem3b_lthm) ).

thf(f114,conjecture,
    hoasinduction_lem3b_lthm,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).

thf(f115,negated_conjecture,
    ~ hoasinduction_lem3b_lthm,
    inference(negated_conjecture,[status(cth)],[f114]) ).

thf(f125,plain,
    ~ hoasinduction_lem3b_lthm,
    inference(rectify,[],[f115]) ).

thf(f126,plain,
    hoasinduction_lem3b_lthm != $true,
    inference(fool_elimination,[],[f125]) ).

thf(f275,plain,
    ( hoasinduction_lem3b
    = ( !! @ term
      @ ^ [Y0: term] :
          ( ?? @ ( subst > term > term )
          @ ^ [Y1: subst > term > term] :
              ( ( Y1 @ sh @ one )
              = ( sub @ Y0 @ ( push @ one @ sh ) ) ) ) ) ),
    inference(fool_elimination,[],[f105]) ).

thf(f321,plain,
    hoasinduction_lem3b_lthm != $true,
    inference(flattening,[],[f126]) ).

thf(f322,plain,
    hoasinduction_lem3b = hoasinduction_lem3b_lthm,
    inference(cnf_transformation,[],[f107]) ).

thf(f323,plain,
    hoasinduction_lem3b_lthm != $true,
    inference(cnf_transformation,[],[f321]) ).

thf(f324,plain,
    ( hoasinduction_lem3b
    = ( !! @ term
      @ ^ [Y0: term] :
          ( ?? @ ( subst > term > term )
          @ ^ [Y1: subst > term > term] :
              ( ( Y1 @ sh @ one )
              = ( sub @ Y0 @ ( push @ one @ sh ) ) ) ) ) ),
    inference(cnf_transformation,[],[f275]) ).

thf(f327,plain,
    ( hoasinduction_lem3b_lthm
    = ( !! @ term
      @ ^ [Y0: term] :
          ( ?? @ ( subst > term > term )
          @ ^ [Y1: subst > term > term] :
              ( ( Y1 @ sh @ one )
              = ( sub @ Y0 @ ( push @ one @ sh ) ) ) ) ) ),
    inference(definition_unfolding,[],[f324,f322]) ).

thf(f328,plain,
    ( ( ( !! @ term
        @ ^ [Y0: term] :
            ( ?? @ ( subst > term > term )
            @ ^ [Y1: subst > term > term] :
                ( ( Y1 @ sh @ one )
                = ( sub @ Y0 @ ( push @ one @ sh ) ) ) ) )
      = $false )
    | ( hoasinduction_lem3b_lthm = $true ) ),
    inference(iff_proxy_clausification,[],[f327]) ).

thf(f335,plain,
    ( ( $false
      = ( ^ [Y0: term] :
            ( ?? @ ( subst > term > term )
            @ ^ [Y1: subst > term > term] :
                ( ( Y1 @ sh @ one )
                = ( sub @ Y0 @ ( push @ one @ sh ) ) ) )
        @ sK1 ) )
    | ( hoasinduction_lem3b_lthm = $true ) ),
    inference(sigma_proxy_clausification,[],[f328]) ).

thf(f336,plain,
    ( ( ( ?? @ ( subst > term > term )
        @ ^ [Y0: subst > term > term] :
            ( ( Y0 @ sh @ one )
            = ( sub @ sK1 @ ( push @ one @ sh ) ) ) )
      = $false )
    | ( hoasinduction_lem3b_lthm = $true ) ),
    inference(beta-eta_normalization,[],[f335]) ).

thf(f337,plain,
    ! [X1: subst > term > term] :
      ( ( ( ^ [Y0: subst > term > term] :
              ( ( Y0 @ sh @ one )
              = ( sub @ sK1 @ ( push @ one @ sh ) ) )
          @ X1 )
        = $false )
      | ( hoasinduction_lem3b_lthm = $true ) ),
    inference(pi_proxy_clausification,[],[f336]) ).

thf(f338,plain,
    ! [X1: subst > term > term] :
      ( ( hoasinduction_lem3b_lthm = $true )
      | ( ( ( X1 @ sh @ one )
          = ( sub @ sK1 @ ( push @ one @ sh ) ) )
        = $false ) ),
    inference(beta-eta_normalization,[],[f337]) ).

thf(f339,plain,
    ! [X1: subst > term > term] :
      ( ( hoasinduction_lem3b_lthm = $true )
      | ( ( X1 @ sh @ one )
       != ( sub @ sK1 @ ( push @ one @ sh ) ) ) ),
    inference(equality_proxy_clausification,[],[f338]) ).

thf(f349,definition,
    ( spl2_3
  <=> ! [X1: subst > term > term] :
        ( ( X1 @ sh @ one )
       != ( sub @ sK1 @ ( push @ one @ sh ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).

thf(f350,plain,
    ( ! [X1: subst > term > term] :
        ( ( X1 @ sh @ one )
       != ( sub @ sK1 @ ( push @ one @ sh ) ) )
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f349]) ).

thf(f352,definition,
    ( spl2_4
  <=> ( hoasinduction_lem3b_lthm = $true ) ),
    introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).

thf(f355,plain,
    ( spl2_3
    | spl2_4 ),
    inference(avatar_split_clause,[],[f339,f352,f349]) ).

thf(f356,plain,
    ~ spl2_4,
    inference(avatar_split_clause,[],[f323,f352]) ).

thf(f373,plain,
    ( ! [X2: subst > term > term,X0: subst > term > term,X1: subst > term > subst] :
        ( ( sh
         != ( X1 @ sh @ one ) )
        | ( ( X0 @ sh @ one )
         != sK1 )
        | ( one
         != ( X2 @ sh @ one ) ) )
    | ~ spl2_3 ),
    inference(equality_resolution,[],[f350]) ).

thf(f375,definition,
    ( spl2_5
  <=> ! [X2: subst > term > term] :
        ( one
       != ( X2 @ sh @ one ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).

thf(f376,plain,
    ( ! [X2: subst > term > term] :
        ( one
       != ( X2 @ sh @ one ) )
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f375]) ).

thf(f378,definition,
    ( spl2_6
  <=> ! [X0: subst > term > term] :
        ( ( X0 @ sh @ one )
       != sK1 ) ),
    introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).

thf(f379,plain,
    ( ! [X0: subst > term > term] :
        ( ( X0 @ sh @ one )
       != sK1 )
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f378]) ).

thf(f381,definition,
    ( spl2_7
  <=> ! [X1: subst > term > subst] :
        ( sh
       != ( X1 @ sh @ one ) ) ),
    introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).

thf(f382,plain,
    ( ! [X1: subst > term > subst] :
        ( sh
       != ( X1 @ sh @ one ) )
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f381]) ).

thf(f383,plain,
    ( spl2_5
    | spl2_6
    | spl2_7
    | ~ spl2_3 ),
    inference(avatar_split_clause,[],[f373,f349,f381,f378,f375]) ).

thf(f393,plain,
    ( $false
    | ~ spl2_5 ),
    inference(equality_resolution,[],[f376]) ).

thf(f396,plain,
    ~ spl2_5,
    inference(avatar_contradiction_clause,[],[f393]) ).

thf(f398,plain,
    ( $false
    | ~ spl2_7 ),
    inference(equality_resolution,[],[f382]) ).

thf(f400,plain,
    ~ spl2_7,
    inference(avatar_contradiction_clause,[],[f398]) ).

thf(f401,plain,
    ( $false
    | ~ spl2_6 ),
    inference(equality_resolution,[],[f379]) ).

thf(f402,plain,
    ~ spl2_6,
    inference(avatar_contradiction_clause,[],[f401]) ).

cnf(s2,plain,
    ( spl2_3
    | spl2_4 ),
    inference(sat_conversion,[],[f355]) ).

cnf(s3,plain,
    ~ spl2_4,
    inference(sat_conversion,[],[f356]) ).

cnf(s6,plain,
    ( ~ spl2_3
    | spl2_5
    | spl2_6
    | spl2_7 ),
    inference(sat_conversion,[],[f383]) ).

cnf(s11,plain,
    ~ spl2_5,
    inference(sat_conversion,[],[f396]) ).

cnf(s13,plain,
    ~ spl2_7,
    inference(sat_conversion,[],[f400]) ).

cnf(s14,plain,
    ~ spl2_6,
    inference(sat_conversion,[],[f402]) ).

cnf(s17,plain,
    ~ spl2_3,
    inference(rat,[],[s6,s13,s14,s11]) ).

cnf(s19,plain,
    $false,
    inference(rat,[],[s2,s3,s17]) ).

thf(f403,plain,
    $false,
    inference(avatar_sat_refutation,[],[s19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ALG267^2 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n019.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Tue Sep 29 17:35:03 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running higher-order theorem proving
% 0.22/0.26  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.41  % (1127477)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.78/0.41  % (1127486)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3660421883:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.78/0.41  % (1127488)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.78/0.41  % (1127488)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.78/0.41  % (1127484)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2238527958:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.78/0.41  % (1127482)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1475004050:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.78/0.41  % (1127483)lrs+10_16_si=on:nwc=1.5:random_seed=3984166438:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.78/0.41  % (1127486)Instruction limit reached! 
% 0.78/0.41  % (1127486)------------------------------
% 0.78/0.41  % (1127486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41  % (1127486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41  % (1127487)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=13170864:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.78/0.41  % (1127486)CaDiCaL version: 2.1.3
% 0.78/0.41  % (1127485)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2379811759:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.78/0.41  % (1127486)Termination reason: Instruction limit
% 0.78/0.41  % (1127486)Termination phase: Naming
% 0.78/0.41  % (1127486)Time elapsed: 0.007 s
% 0.78/0.41  % (1127486)Peak memory usage: 11 MB
% 0.78/0.41  % (1127486)Instructions burned: 27 (million)
% 0.78/0.41  % (1127488)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3894603430:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.78/0.41  % (1127484)Instruction limit reached! 
% 0.78/0.41  % (1127484)------------------------------
% 0.78/0.41  % (1127484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41  % (1127484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41  % (1127484)CaDiCaL version: 2.1.3
% 0.78/0.41  % (1127484)Termination reason: Instruction limit
% 0.78/0.41  % (1127484)Termination phase: shuffling
% 0.78/0.41  % (1127484)Time elapsed: 0.002 s
% 0.78/0.41  % (1127484)Peak memory usage: 10 MB
% 0.78/0.41  % (1127484)Instructions burned: 4 (million)
% 0.78/0.41  % (1127483)Instruction limit reached! 
% 0.78/0.41  % (1127483)------------------------------
% 0.78/0.41  % (1127483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41  % (1127483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41  % (1127483)CaDiCaL version: 2.1.3
% 0.78/0.41  % (1127483)Termination reason: Instruction limit
% 0.78/0.41  % (1127483)Termination phase: shuffling
% 0.78/0.41  % (1127483)Time elapsed: 0.009 s
% 0.78/0.41  % (1127483)Peak memory usage: 10 MB
% 0.78/0.41  % (1127483)Instructions burned: 19 (million)
% 0.78/0.41  % (1127496)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=277806245:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.78/0.41  % (1127496)Instruction limit reached! 
% 0.78/0.41  % (1127496)------------------------------
% 0.78/0.41  % (1127496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.41  % (1127496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.41  % (1127496)CaDiCaL version: 2.1.3
% 0.78/0.41  % (1127496)Termination reason: Instruction limit
% 0.78/0.41  % (1127496)Termination phase: shuffling
% 0.78/0.41  % (1127496)Time elapsed: 0.002 s
% 0.78/0.41  % (1127496)Peak memory usage: 10 MB
% 0.78/0.41  % (1127496)Instructions burned: 9 (million)
% 0.78/0.41  % (1127497)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1772981818:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.78/0.44  % (1127498)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.44  % (1127500)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2847886706:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.78/0.44  % (1127497)Instruction limit reached! 
% 0.78/0.44  % (1127497)------------------------------
% 0.78/0.44  % (1127497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.44  % (1127497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.44  % (1127497)CaDiCaL version: 2.1.3
% 0.78/0.44  % (1127497)Termination reason: Instruction limit
% 0.78/0.44  % (1127497)Termination phase: shuffling
% 0.78/0.44  % (1127497)Time elapsed: 0.003 s
% 0.78/0.44  % (1127497)Peak memory usage: 10 MB
% 0.78/0.44  % (1127497)Instructions burned: 6 (million)
% 0.78/0.44  % (1127500)Instruction limit reached! 
% 0.78/0.44  % (1127500)------------------------------
% 0.78/0.44  % (1127500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.44  % (1127500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.44  % (1127500)CaDiCaL version: 2.1.3
% 0.78/0.44  % (1127500)Termination reason: Instruction limit
% 0.78/0.44  % (1127500)Termination phase: shuffling
% 0.78/0.44  % (1127500)Time elapsed: 0.003 s
% 0.78/0.44  % (1127500)Peak memory usage: 10 MB
% 0.78/0.44  % (1127500)Instructions burned: 14 (million)
% 0.78/0.44  % (1127498)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3109645680:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.78/0.44  % (1127498)Instruction limit reached! 
% 0.78/0.44  % (1127498)------------------------------
% 0.78/0.44  % (1127498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.44  % (1127498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.44  % (1127498)CaDiCaL version: 2.1.3
% 0.78/0.44  % (1127498)Termination reason: Instruction limit
% 0.78/0.44  % (1127498)Termination phase: shuffling
% 0.78/0.44  % (1127498)Time elapsed: 0.004 s
% 0.78/0.44  % (1127498)Peak memory usage: 10 MB
% 0.78/0.44  % (1127498)Instructions burned: 8 (million)
% 0.78/0.44  % (1127487)Instruction limit reached! 
% 0.78/0.44  % (1127487)------------------------------
% 0.78/0.44  % (1127487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.44  % (1127487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.44  % (1127487)CaDiCaL version: 2.1.3
% 0.78/0.44  % (1127487)Termination reason: Instruction limit
% 0.78/0.44  % (1127487)Termination phase: Property scanning
% 0.78/0.44  % (1127487)Time elapsed: 0.035 s
% 0.78/0.44  % (1127487)Peak memory usage: 12 MB
% 0.78/0.44  % (1127487)Instructions burned: 76 (million)
% 0.78/0.44  % (1127505)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=3513135769:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.78/0.44  % (1127503)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.78/0.44  % (1127503)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.78/0.44  % (1127503)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1088189219:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.78/0.44  % (1127507)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.78/0.44  % (1127506)lrs+10_1_si=on:cs=on:random_seed=3437127886:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.78/0.44  % (1127507)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=3854466199:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.78/0.44  % (1127506)Instruction limit reached! 
% 0.78/0.44  % (1127506)------------------------------
% 0.78/0.44  % (1127506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.44  % (1127506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.47  % (1127506)CaDiCaL version: 2.1.3
% 0.78/0.47  % (1127506)Termination reason: Instruction limit
% 0.78/0.47  % (1127506)Termination phase: shuffling
% 0.78/0.47  % (1127506)Time elapsed: 0.004 s
% 0.78/0.47  % (1127506)Peak memory usage: 10 MB
% 0.78/0.47  % (1127506)Instructions burned: 9 (million)
% 0.78/0.47  % (1127505)Instruction limit reached! 
% 0.78/0.47  % (1127505)------------------------------
% 0.78/0.47  % (1127505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.47  % (1127505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.47  % (1127503)Instruction limit reached! 
% 0.78/0.47  % (1127503)------------------------------
% 0.78/0.47  % (1127503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.47  % (1127503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.47  % (1127503)CaDiCaL version: 2.1.3
% 0.78/0.47  % (1127503)Termination reason: Instruction limit
% 0.78/0.47  % (1127503)Termination phase: Property scanning
% 0.78/0.47  % (1127503)Time elapsed: 0.012 s
% 0.78/0.47  % (1127503)Peak memory usage: 10 MB
% 0.78/0.47  % (1127503)Instructions burned: 29 (million)
% 0.78/0.47  % (1127507)Instruction limit reached! 
% 0.78/0.47  % (1127507)------------------------------
% 0.78/0.47  % (1127507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.47  % (1127507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.47  % (1127507)CaDiCaL version: 2.1.3
% 0.78/0.47  % (1127507)Termination reason: Instruction limit
% 0.78/0.47  % (1127507)Termination phase: shuffling
% 0.78/0.47  % (1127507)Time elapsed: 0.003 s
% 0.78/0.47  % (1127507)Peak memory usage: 10 MB
% 0.78/0.47  % (1127507)Instructions burned: 7 (million)
% 0.78/0.47  % (1127505)CaDiCaL version: 2.1.3
% 0.78/0.47  % (1127505)Termination reason: Instruction limit
% 0.78/0.47  % (1127505)Termination phase: Saturation
% 0.78/0.47  % (1127505)Time elapsed: 0.022 s
% 0.78/0.47  % (1127505)Peak memory usage: 12 MB
% 0.78/0.47  % (1127505)Instructions burned: 103 (million)
% 0.78/0.47  % (1127482)Instruction limit reached! 
% 0.78/0.47  % (1127482)------------------------------
% 0.78/0.47  % (1127482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.47  % (1127482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.47  % (1127482)CaDiCaL version: 2.1.3
% 0.78/0.47  % (1127482)Termination reason: Instruction limit
% 0.78/0.47  % (1127482)Termination phase: Function definition elimination
% 0.78/0.47  % (1127482)Time elapsed: 0.065 s
% 0.78/0.47  % (1127482)Peak memory usage: 12 MB
% 0.78/0.47  % (1127482)Instructions burned: 91 (million)
% 0.78/0.47  % (1127488)Instruction limit reached! 
% 0.78/0.47  % (1127488)------------------------------
% 0.78/0.47  % (1127488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.78/0.47  % (1127488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.78/0.47  % (1127488)CaDiCaL version: 2.1.3
% 0.78/0.47  % (1127488)Termination reason: Instruction limit
% 0.78/0.47  % (1127488)Termination phase: Saturation
% 0.78/0.47  % (1127488)Time elapsed: 0.067 s
% 0.78/0.47  % (1127488)Peak memory usage: 14 MB
% 0.78/0.47  % (1127488)Instructions burned: 158 (million)
% 0.78/0.47  % (1127516)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3197157524:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.78/0.47  % (1127512)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2224763955:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.78/0.47  % (1127513)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4269788855:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.78/0.47  % (1127514)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1856338776:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.78/0.47  % (1127515)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=580014326:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.78/0.47  % (1127517)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2903871185:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.78/0.47  % (1127514)Instruction limit reached! 
% 0.78/0.47  % (1127514)------------------------------
% 1.46/0.50  % (1127514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.50  % (1127514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.50  % (1127514)CaDiCaL version: 2.1.3
% 1.46/0.50  % (1127514)Termination reason: Instruction limit
% 1.46/0.50  % (1127514)Termination phase: Preprocessing 1
% 1.46/0.50  % (1127514)Time elapsed: 0.012 s
% 1.46/0.50  % (1127514)Peak memory usage: 11 MB
% 1.46/0.50  % (1127514)Instructions burned: 25 (million)
% 1.46/0.50  % (1127515)Instruction limit reached! 
% 1.46/0.50  % (1127515)------------------------------
% 1.46/0.50  % (1127515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.50  % (1127515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.50  % (1127515)CaDiCaL version: 2.1.3
% 1.46/0.50  % (1127515)Termination reason: Instruction limit
% 1.46/0.50  % (1127515)Termination phase: shuffling
% 1.46/0.50  % (1127515)Time elapsed: 0.007 s
% 1.46/0.50  % (1127515)Peak memory usage: 10 MB
% 1.46/0.50  % (1127515)Instructions burned: 15 (million)
% 1.46/0.50  % (1127517)Instruction limit reached! 
% 1.46/0.50  % (1127517)------------------------------
% 1.46/0.50  % (1127517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.50  % (1127517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.50  % (1127517)CaDiCaL version: 2.1.3
% 1.46/0.50  % (1127517)Termination reason: Instruction limit
% 1.46/0.50  % (1127517)Termination phase: shuffling
% 1.46/0.50  % (1127517)Time elapsed: 0.007 s
% 1.46/0.50  % (1127517)Peak memory usage: 10 MB
% 1.46/0.50  % (1127517)Instructions burned: 16 (million)
% 1.46/0.50  % (1127512)Instruction limit reached! 
% 1.46/0.50  % (1127512)------------------------------
% 1.46/0.50  % (1127512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.50  % (1127512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.50  % (1127512)CaDiCaL version: 2.1.3
% 1.46/0.50  % (1127512)Termination reason: Instruction limit
% 1.46/0.50  % (1127512)Termination phase: Saturation
% 1.46/0.50  % (1127512)Time elapsed: 0.019 s
% 1.46/0.50  % (1127512)Peak memory usage: 13 MB
% 1.46/0.50  % (1127512)Instructions burned: 38 (million)
% 1.46/0.50  % (1127513)Refutation not found, incomplete strategy
% 1.46/0.50  % (1127513)------------------------------
% 1.46/0.50  % (1127513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.50  % (1127513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.50  % (1127513)CaDiCaL version: 2.1.3
% 1.46/0.50  % (1127513)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.50  % (1127513)Time elapsed: 0.021 s
% 1.46/0.50  % (1127513)Peak memory usage: 12 MB
% 1.46/0.50  % (1127513)Instructions burned: 49 (million)
% 1.46/0.50  % (1127513)------------------------------
% 1.46/0.50  % (1127513)------------------------------
% 1.46/0.50  % (1127524)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1801999248:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.46/0.50  % (1127525)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=297994430:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.46/0.50  % (1127524)Instruction limit reached! 
% 1.46/0.50  % (1127524)------------------------------
% 1.46/0.50  % (1127524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.50  % (1127524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.50  % (1127524)CaDiCaL version: 2.1.3
% 1.46/0.50  % (1127524)Termination reason: Instruction limit
% 1.46/0.50  % (1127524)Termination phase: shuffling
% 1.46/0.50  % (1127524)Time elapsed: 0.003 s
% 1.46/0.50  % (1127524)Peak memory usage: 10 MB
% 1.46/0.50  % (1127524)Instructions burned: 5 (million)
% 1.46/0.50  % (1127526)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1097764927:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.46/0.50  % (1127527)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1937285500:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.46/0.50  % (1127528)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.46/0.54  % (1127528)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.46/0.54  % (1127528)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=1740034566:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.46/0.54  % (1127525)Instruction limit reached! 
% 1.46/0.54  % (1127525)------------------------------
% 1.46/0.54  % (1127525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54  % (1127525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54  % (1127525)CaDiCaL version: 2.1.3
% 1.46/0.54  % (1127525)Termination reason: Instruction limit
% 1.46/0.54  % (1127525)Termination phase: Property scanning
% 1.46/0.54  % (1127525)Time elapsed: 0.011 s
% 1.46/0.54  % (1127525)Peak memory usage: 10 MB
% 1.46/0.54  % (1127525)Instructions burned: 27 (million)
% 1.46/0.54  % (1127526)Instruction limit reached! 
% 1.46/0.54  % (1127526)------------------------------
% 1.46/0.54  % (1127526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54  % (1127526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54  % (1127526)CaDiCaL version: 2.1.3
% 1.46/0.54  % (1127526)Termination reason: Instruction limit
% 1.46/0.54  % (1127526)Termination phase: Property scanning
% 1.46/0.54  % (1127526)Time elapsed: 0.011 s
% 1.46/0.54  % (1127526)Peak memory usage: 10 MB
% 1.46/0.54  % (1127526)Instructions burned: 25 (million)
% 1.46/0.54  % (1127528)Instruction limit reached! 
% 1.46/0.54  % (1127528)------------------------------
% 1.46/0.54  % (1127528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54  % (1127528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54  % (1127528)CaDiCaL version: 2.1.3
% 1.46/0.54  % (1127528)Termination reason: Instruction limit
% 1.46/0.54  % (1127528)Termination phase: shuffling
% 1.46/0.54  % (1127528)Time elapsed: 0.007 s
% 1.46/0.54  % (1127528)Peak memory usage: 10 MB
% 1.46/0.54  % (1127528)Instructions burned: 16 (million)
% 1.46/0.54  % (1127532)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.46/0.54  % (1127532)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=2237258765:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.46/0.54  % (1127532)Instruction limit reached! 
% 1.46/0.54  % (1127532)------------------------------
% 1.46/0.54  % (1127532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54  % (1127532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54  % (1127532)CaDiCaL version: 2.1.3
% 1.46/0.54  % (1127532)Termination reason: Instruction limit
% 1.46/0.54  % (1127532)Termination phase: shuffling
% 1.46/0.54  % (1127532)Time elapsed: 0.004 s
% 1.46/0.54  % (1127532)Peak memory usage: 10 MB
% 1.46/0.54  % (1127532)Instructions burned: 8 (million)
% 1.46/0.54  % (1127527)Instruction limit reached! 
% 1.46/0.54  % (1127527)------------------------------
% 1.46/0.54  % (1127527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54  % (1127527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54  % (1127527)CaDiCaL version: 2.1.3
% 1.46/0.54  % (1127527)Termination reason: Instruction limit
% 1.46/0.54  % (1127527)Termination phase: Property scanning
% 1.46/0.54  % (1127527)Time elapsed: 0.028 s
% 1.46/0.54  % (1127527)Peak memory usage: 12 MB
% 1.46/0.54  % (1127527)Instructions burned: 60 (million)
% 1.46/0.54  % (1127535)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3872300948:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.46/0.54  % (1127536)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=135441184:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.46/0.54  % (1127537)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=446774481:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.46/0.54  % (1127536)Instruction limit reached! 
% 1.46/0.54  % (1127536)------------------------------
% 1.46/0.54  % (1127536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54  % (1127536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54  % (1127536)CaDiCaL version: 2.1.3
% 1.46/0.54  % (1127536)Termination reason: Instruction limit
% 1.46/0.54  % (1127536)Termination phase: shuffling
% 1.46/0.54  % (1127536)Time elapsed: 0.003 s
% 1.46/0.54  % (1127536)Peak memory usage: 10 MB
% 1.46/0.54  % (1127536)Instructions burned: 7 (million)
% 1.46/0.54  % (1127537)Instruction limit reached! 
% 1.46/0.54  % (1127537)------------------------------
% 1.46/0.54  % (1127537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54  % (1127537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54  % (1127537)CaDiCaL version: 2.1.3
% 1.46/0.54  % (1127537)Termination reason: Instruction limit
% 1.46/0.54  % (1127537)Termination phase: Property scanning
% 1.46/0.54  % (1127537)Time elapsed: 0.011 s
% 1.46/0.54  % (1127537)Peak memory usage: 10 MB
% 1.46/0.54  % (1127537)Instructions burned: 24 (million)
% 1.46/0.54  % (1127540)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1603721630:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.46/0.54  % (1127535)Instruction limit reached! 
% 1.46/0.54  % (1127535)------------------------------
% 1.46/0.54  % (1127535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54  % (1127535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54  % (1127535)CaDiCaL version: 2.1.3
% 1.46/0.54  % (1127535)Termination reason: Instruction limit
% 1.46/0.54  % (1127535)Termination phase: Property scanning
% 1.46/0.54  % (1127535)Time elapsed: 0.014 s
% 1.46/0.54  % (1127535)Peak memory usage: 10 MB
% 1.46/0.54  % (1127535)Instructions burned: 33 (million)
% 1.46/0.54  % (1127516)Instruction limit reached! 
% 1.46/0.54  % (1127516)------------------------------
% 1.46/0.54  % (1127516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54  % (1127544)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4004519208:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.46/0.54  % (1127516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54  % (1127516)CaDiCaL version: 2.1.3
% 1.46/0.54  % (1127516)Termination reason: Instruction limit
% 1.46/0.54  % (1127516)Termination phase: Saturation
% 1.46/0.54  % (1127516)Time elapsed: 0.088 s
% 1.46/0.54  % (1127516)Peak memory usage: 16 MB
% 1.46/0.54  % (1127516)Instructions burned: 328 (million)
% 1.46/0.54  % (1127540)Instruction limit reached! 
% 1.46/0.54  % (1127540)------------------------------
% 1.46/0.54  % (1127540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54  % (1127540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54  % (1127540)CaDiCaL version: 2.1.3
% 1.46/0.54  % (1127540)Termination reason: Instruction limit
% 1.46/0.54  % (1127540)Termination phase: shuffling
% 1.46/0.54  % (1127540)Time elapsed: 0.010 s
% 1.46/0.54  % (1127540)Peak memory usage: 10 MB
% 1.46/0.54  % (1127540)Instructions burned: 20 (million)
% 1.46/0.54  % (1127549)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=987481488:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.46/0.54  % (1127558)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.46/0.54  % (1127558)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1081662812:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.46/0.54  % (1127558)Instruction limit reached! 
% 1.46/0.54  % (1127558)------------------------------
% 1.46/0.54  % (1127558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54  % (1127558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54  % (1127558)CaDiCaL version: 2.1.3
% 1.46/0.54  % (1127558)Termination reason: Instruction limit
% 1.46/0.54  % (1127558)Termination phase: shuffling
% 1.46/0.54  % (1127558)Time elapsed: 0.002 s
% 1.46/0.54  % (1127558)Peak memory usage: 10 MB
% 1.46/0.54  % (1127558)Instructions burned: 8 (million)
% 1.46/0.54  % (1127554)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=620827462:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.46/0.54  % (1127556)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=987767306:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.46/0.54  % (1127567)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1215335750:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.46/0.54  % (1127563)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=4057039404:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.46/0.54  % (1127556)Instruction limit reached! 
% 1.46/0.54  % (1127556)------------------------------
% 1.46/0.54  % (1127556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54  % (1127556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54  % (1127556)CaDiCaL version: 2.1.3
% 1.46/0.54  % (1127556)Termination reason: Instruction limit
% 1.46/0.54  % (1127556)Termination phase: Property scanning
% 1.46/0.54  % (1127556)Time elapsed: 0.018 s
% 1.46/0.54  % (1127556)Peak memory usage: 11 MB
% 1.46/0.54  % (1127556)Instructions burned: 43 (million)
% 1.46/0.54  % (1127567)Refutation not found, incomplete strategy
% 1.46/0.54  % (1127567)------------------------------
% 1.46/0.54  % (1127567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54  % (1127567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54  % (1127567)CaDiCaL version: 2.1.3
% 1.46/0.54  % (1127567)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.54  % (1127567)Time elapsed: 0.013 s
% 1.46/0.54  % (1127567)Peak memory usage: 13 MB
% 1.46/0.54  % (1127567)Instructions burned: 57 (million)
% 1.46/0.54  % (1127567)------------------------------
% 1.46/0.54  % (1127567)------------------------------
% 1.46/0.54  % (1127554)Refutation not found, incomplete strategy
% 1.46/0.54  % (1127554)------------------------------
% 1.46/0.54  % (1127554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54  % (1127554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54  % (1127554)CaDiCaL version: 2.1.3
% 1.46/0.54  % (1127554)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.54  % (1127554)Time elapsed: 0.027 s
% 1.46/0.54  % (1127554)Peak memory usage: 13 MB
% 1.46/0.54  % (1127554)Instructions burned: 60 (million)
% 1.46/0.54  % (1127554)------------------------------
% 1.46/0.54  % (1127554)------------------------------
% 1.46/0.54  % (1127577)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2412992238:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.46/0.54  % (1127575)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.46/0.54  % (1127563) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1127477-1127563"...
% 1.46/0.54  % (1127563)...printing done.
% 1.46/0.54  % (1127575)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2810751975:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.46/0.54  % (1127563)Refutation found. Thanks to Tanya!
% 1.46/0.54  % SZS status Theorem for theBenchmark
% 1.46/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.54  % (1127563)------------------------------
% 1.46/0.54  % (1127563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.46/0.54  % (1127563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.46/0.54  % (1127563)CaDiCaL version: 2.1.3
% 1.46/0.54  % (1127563)Termination reason: Refutation
% 1.46/0.54  % (1127563)Time elapsed: 0.024 s
% 1.46/0.54  % (1127563)Peak memory usage: 14 MB
% 1.46/0.54  % (1127563)Instructions burned: 51 (million)
% 1.46/0.54  % (1127477)Success in time 0.268 s
% 1.46/0.54  % Vampire exiting
%------------------------------------------------------------------------------