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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV085^7 : TPTP v9.3.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 08:39:54 AM UTC 2026

% Result   : Theorem 5.00s 1.10s
% Output   : Refutation 5.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  103 (  43 unt;   0 typ;  10 def)
%            Number of atoms       :  699 (  73 equ;   0 cnn)
%            Maximal formula atoms :   13 (   6 avg)
%            Number of connectives : 1129 ( 111   ~; 101   |;   0   &; 888   @)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   61 (  61   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  107 ( 103 usr;  25 con; 0-4 aty)
%                                         (  19  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  131 (   8 sgn  21   !;   0   ?; 131   :)

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

thf(type_def_6,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    qmltpeq: mu > mu > $i > $o ).

thf(func_def_1,type,
    meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_3,type,
    mnot: ( $i > $o ) > $i > $o ).

thf(func_def_4,type,
    mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_5,type,
    mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_6,type,
    mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).

thf(func_def_7,type,
    mtrue: $i > $o ).

thf(func_def_8,type,
    mfalse: $i > $o ).

thf(func_def_9,type,
    mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_10,type,
    mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_11,type,
    mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_12,type,
    mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_13,type,
    mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_14,type,
    mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_15,type,
    exists_in_world: mu > $i > $o ).

thf(func_def_16,type,
    mforall_ind: ( mu > $i > $o ) > $i > $o ).

thf(func_def_17,type,
    mexists_ind: ( mu > $i > $o ) > $i > $o ).

thf(func_def_18,type,
    mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).

thf(func_def_19,type,
    mreflexive: ( $i > $i > $o ) > $o ).

thf(func_def_20,type,
    msymmetric: ( $i > $i > $o ) > $o ).

thf(func_def_21,type,
    mserial: ( $i > $i > $o ) > $o ).

thf(func_def_22,type,
    mtransitive: ( $i > $i > $o ) > $o ).

thf(func_def_23,type,
    meuclidean: ( $i > $i > $o ) > $o ).

thf(func_def_24,type,
    mpartially_functional: ( $i > $i > $o ) > $o ).

thf(func_def_25,type,
    mfunctional: ( $i > $i > $o ) > $o ).

thf(func_def_26,type,
    mweakly_dense: ( $i > $i > $o ) > $o ).

thf(func_def_27,type,
    mweakly_connected: ( $i > $i > $o ) > $o ).

thf(func_def_28,type,
    mweakly_directed: ( $i > $i > $o ) > $o ).

thf(func_def_29,type,
    mvalid: ( $i > $o ) > $o ).

thf(func_def_30,type,
    msatisfiable: ( $i > $o ) > $o ).

thf(func_def_31,type,
    mcountersatisfiable: ( $i > $o ) > $o ).

thf(func_def_32,type,
    minvalid: ( $i > $o ) > $o ).

thf(func_def_33,type,
    rel_s4: $i > $i > $o ).

thf(func_def_34,type,
    mbox_s4: ( $i > $o ) > $i > $o ).

thf(func_def_35,type,
    mdia_s4: ( $i > $o ) > $i > $o ).

thf(func_def_36,type,
    true: $i > $o ).

thf(func_def_37,type,
    lt: mu > mu > $i > $o ).

thf(func_def_38,type,
    geq: mu > mu > $i > $o ).

thf(func_def_39,type,
    gt: mu > mu > $i > $o ).

thf(func_def_40,type,
    leq: mu > mu > $i > $o ).

thf(func_def_41,type,
    uniform_int_rnd: mu > mu > mu ).

thf(func_def_42,type,
    tptp_const_array1: mu > mu > mu ).

thf(func_def_43,type,
    dim: mu > mu > mu ).

thf(func_def_44,type,
    tptp_const_array2: mu > mu > mu > mu ).

thf(func_def_45,type,
    inv: mu > mu ).

thf(func_def_46,type,
    tptp_msub: mu > mu > mu ).

thf(func_def_47,type,
    trans: mu > mu ).

thf(func_def_48,type,
    tptp_mmul: mu > mu > mu ).

thf(func_def_49,type,
    tptp_madd: mu > mu > mu ).

thf(func_def_50,type,
    sum: mu > mu > mu > mu ).

thf(func_def_51,type,
    tptp_float_0_0: mu ).

thf(func_def_52,type,
    plus: mu > mu > mu ).

thf(func_def_53,type,
    pred: mu > mu ).

thf(func_def_54,type,
    tptp_update3: mu > mu > mu > mu > mu ).

thf(func_def_55,type,
    a_select3: mu > mu > mu > mu ).

thf(func_def_56,type,
    tptp_update2: mu > mu > mu > mu ).

thf(func_def_57,type,
    a_select2: mu > mu > mu ).

thf(func_def_58,type,
    use: mu ).

thf(func_def_59,type,
    def: mu ).

thf(func_def_60,type,
    minus: mu > mu > mu ).

thf(func_def_61,type,
    pv68: mu ).

thf(func_def_62,type,
    tptp_minus_1: mu ).

thf(func_def_63,type,
    n4: mu ).

thf(func_def_64,type,
    n5: mu ).

thf(func_def_65,type,
    n1: mu ).

thf(func_def_66,type,
    n2: mu ).

thf(func_def_67,type,
    n3: mu ).

thf(func_def_68,type,
    n0: mu ).

thf(func_def_69,type,
    succ: mu > mu ).

thf(func_def_70,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_71,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_72,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_73,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_76,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_77,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_78,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_79,type,
    vOR: $o > $o > $o ).

thf(func_def_80,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_81,type,
    vIMP: $o > $o > $o ).

thf(func_def_82,type,
    vNOT: $o > $o ).

thf(func_def_83,type,
    vAND: $o > $o > $o ).

thf(func_def_84,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_85,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_86,type,
    db6: 
      !>[X0: $tType] : X0 ).

thf(func_def_87,type,
    db9: 
      !>[X0: $tType] : X0 ).

thf(func_def_88,type,
    db8: 
      !>[X0: $tType] : X0 ).

thf(func_def_89,type,
    db7: 
      !>[X0: $tType] : X0 ).

thf(func_def_90,type,
    sK0: $i > mu ).

thf(func_def_92,type,
    sK2: ( $i > $o ) > $i ).

thf(func_def_93,type,
    sK3: ( $i > $i > $o ) > $i ).

thf(func_def_95,type,
    sK5: ( $i > $o ) > $i > $i ).

thf(f2,axiom,
    ( ( ^ [X0: $i > $o,X1: $i] :
          ~ ( X0 @ X1 ) )
    = mnot ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mnot) ).

thf(f3,axiom,
    ( mor
    = ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X0 @ X2 )
          | ( X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mor) ).

thf(f9,axiom,
    ( mimplies
    = ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mimplies) ).

thf(f28,axiom,
    ( mvalid
    = ( ^ [X0: $i > $o] :
        ! [X1: $i] : ( X0 @ X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mvalid) ).

thf(f32,axiom,
    ( mbox_s4
    = ( ^ [X0: $i > $o,X1: $i] :
        ! [X2: $i] :
          ( ~ ( rel_s4 @ X1 @ X2 )
          | ( X0 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^5.ax',mbox_s4) ).

thf(f199,conjecture,
    mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_array_0026) ).

thf(f200,negated_conjecture,
    ~ ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f199]) ).

thf(f253,plain,
    ( mor
    = ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X0 @ X2 )
          | ( X1 @ X2 ) ) ) ),
    inference(rectify,[],[f3]) ).

thf(f254,plain,
    ( mor
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y1 @ Y2 )
          | ( Y0 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f253]) ).

thf(f275,plain,
    ( mvalid
    = ( ^ [X0: $i > $o] :
        ! [X1: $i] : ( X0 @ X1 ) ) ),
    inference(rectify,[],[f28]) ).

thf(f276,plain,
    ( mvalid
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f275]) ).

thf(f426,plain,
    ( ( ^ [X0: $i > $o,X1: $i] :
          ~ ( X0 @ X1 ) )
    = mnot ),
    inference(rectify,[],[f2]) ).

thf(f427,plain,
    ( mnot
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(fool_elimination,[],[f426]) ).

thf(f517,plain,
    ~ ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ) ),
    inference(rectify,[],[f200]) ).

thf(f518,plain,
    ( ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ) )
   != $true ),
    inference(fool_elimination,[],[f517]) ).

thf(f545,plain,
    ( mimplies
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
    inference(fool_elimination,[],[f9]) ).

thf(f576,plain,
    ( mbox_s4
    = ( ^ [X0: $i > $o,X1: $i] :
        ! [X2: $i] :
          ( ~ ( rel_s4 @ X1 @ X2 )
          | ( X0 @ X2 ) ) ) ),
    inference(rectify,[],[f32]) ).

thf(f577,plain,
    ( mbox_s4
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ( !! @ $i
          @ ^ [Y2: $i] :
              ( ( Y0 @ Y2 )
              | ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ),
    inference(fool_elimination,[],[f576]) ).

thf(f588,plain,
    ( ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ) )
   != $true ),
    inference(flattening,[],[f518]) ).

thf(f625,plain,
    ( mvalid
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f276]) ).

thf(f680,plain,
    ( mor
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y1 @ Y2 )
          | ( Y0 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f254]) ).

thf(f711,plain,
    ( mbox_s4
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ( !! @ $i
          @ ^ [Y2: $i] :
              ( ( Y0 @ Y2 )
              | ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ),
    inference(cnf_transformation,[],[f577]) ).

thf(f740,plain,
    ( mnot
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[],[f427]) ).

thf(f760,plain,
    ( mimplies
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
    inference(cnf_transformation,[],[f545]) ).

thf(f782,plain,
    ( ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ) )
   != $true ),
    inference(cnf_transformation,[],[f588]) ).

thf(f809,plain,
    ( mimplies
    = ( ^ [Y0: $i > $o] : ( mor @ ( mnot @ Y0 ) ) ) ),
    inference(beta-eta_normalization,[],[f760]) ).

thf(f810,plain,
    ( mvalid = !! ) @ $i,
    inference(beta-eta_normalization,[],[f625]) ).

thf(f897,definition,
    ( spl1_18
  <=> ( ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl1_18])],[avatar_definition]) ).

thf(f899,plain,
    ( ( ( mvalid @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ) )
     != $true )
    | spl1_18 ),
    inference(avatar_component_clause,[],[f897]) ).

thf(f900,plain,
    ~ spl1_18,
    inference(avatar_split_clause,[],[f782,f897]) ).

thf(f1037,definition,
    ( spl1_46
  <=> ( mbox_s4
      = ( ^ [Y0: $i > $o,Y1: $i] :
            ( !! @ $i
            @ ^ [Y2: $i] :
                ( ( Y0 @ Y2 )
                | ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl1_46])],[avatar_definition]) ).

thf(f1039,plain,
    ( ( mbox_s4
      = ( ^ [Y0: $i > $o,Y1: $i] :
            ( !! @ $i
            @ ^ [Y2: $i] :
                ( ( Y0 @ Y2 )
                | ~ ( rel_s4 @ Y1 @ Y2 ) ) ) ) )
    | ~ spl1_46 ),
    inference(avatar_component_clause,[],[f1037]) ).

thf(f1040,plain,
    spl1_46,
    inference(avatar_split_clause,[],[f711,f1037]) ).

thf(f1322,definition,
    ( spl1_103
  <=> ( mnot
      = ( ^ [Y0: $i > $o,Y1: $i] :
            ~ ( Y0 @ Y1 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl1_103])],[avatar_definition]) ).

thf(f1324,plain,
    ( ( mnot
      = ( ^ [Y0: $i > $o,Y1: $i] :
            ~ ( Y0 @ Y1 ) ) )
    | ~ spl1_103 ),
    inference(avatar_component_clause,[],[f1322]) ).

thf(f1325,plain,
    spl1_103,
    inference(avatar_split_clause,[],[f740,f1322]) ).

thf(f1332,definition,
    ( spl1_105
  <=> ( mimplies
      = ( ^ [Y0: $i > $o] : ( mor @ ( mnot @ Y0 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl1_105])],[avatar_definition]) ).

thf(f1334,plain,
    ( ( mimplies
      = ( ^ [Y0: $i > $o] : ( mor @ ( mnot @ Y0 ) ) ) )
    | ~ spl1_105 ),
    inference(avatar_component_clause,[],[f1332]) ).

thf(f1335,plain,
    spl1_105,
    inference(avatar_split_clause,[],[f809,f1332]) ).

thf(f1377,definition,
    ( spl1_114
  <=> ( ( mvalid = !! ) @ $i ) ),
    introduced(definition,[new_symbols(definition,[spl1_114])],[avatar_definition]) ).

thf(f1379,plain,
    ( ( ( mvalid = !! ) @ $i )
    | ~ spl1_114 ),
    inference(avatar_component_clause,[],[f1377]) ).

thf(f1380,plain,
    spl1_114,
    inference(avatar_split_clause,[],[f810,f1377]) ).

thf(f1522,definition,
    ( spl1_143
  <=> ( mor
      = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
            ( ( Y1 @ Y2 )
            | ( Y0 @ Y2 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl1_143])],[avatar_definition]) ).

thf(f1524,plain,
    ( ( mor
      = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
            ( ( Y1 @ Y2 )
            | ( Y0 @ Y2 ) ) ) )
    | ~ spl1_143 ),
    inference(avatar_component_clause,[],[f1522]) ).

thf(f1525,plain,
    spl1_143,
    inference(avatar_split_clause,[],[f680,f1522]) ).

thf(f1536,plain,
    ( ! [X1: $i > $o] :
        ( ( !! @ $i @ X1 )
        = ( mvalid @ X1 ) )
    | ~ spl1_114 ),
    inference(argument_congruence,[],[f1379]) ).

thf(f1538,plain,
    ( ! [X1: $i > $o] :
        ( ( ( !! @ $i @ X1 )
          = $false )
        | ( $true
          = ( mvalid @ X1 ) ) )
    | ~ spl1_114 ),
    inference(iff_proxy_clausification,[],[f1536]) ).

thf(f1539,plain,
    ( ! [X1: $i > $o] :
        ( ( $true
          = ( mvalid @ X1 ) )
        | ( ( X1 @ ( sK2 @ X1 ) )
          = $false ) )
    | ~ spl1_114 ),
    inference(sigma_proxy_clausification,[],[f1538]) ).

thf(f1587,plain,
    ( ! [X1: $i > $o] :
        ( ( mimplies @ X1 )
        = ( ^ [Y0: $i > $o] : ( mor @ ( mnot @ Y0 ) )
          @ X1 ) )
    | ~ spl1_105 ),
    inference(argument_congruence,[],[f1334]) ).

thf(f1588,plain,
    ( ! [X1: $i > $o] :
        ( ( mor @ ( mnot @ X1 ) )
        = ( mimplies @ X1 ) )
    | ~ spl1_105 ),
    inference(beta-eta_normalization,[],[f1587]) ).

thf(f1589,plain,
    ( ! [X2: $i > $o,X1: $i > $o] :
        ( ( mor @ ( mnot @ X1 ) @ X2 )
        = ( mimplies @ X1 @ X2 ) )
    | ~ spl1_105 ),
    inference(argument_congruence,[],[f1588]) ).

thf(f1594,plain,
    ( ( ( mvalid @ ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ) )
     != $true )
    | spl1_18
    | ~ spl1_105 ),
    inference(backward_demodulation,[],[f899,f1589]) ).

thf(f1599,definition,
    ( spl1_146
  <=> ( ( mvalid @ ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl1_146])],[avatar_definition]) ).

thf(f1601,plain,
    ( ( ( mvalid @ ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ) )
     != $true )
    | spl1_146 ),
    inference(avatar_component_clause,[],[f1599]) ).

thf(f1602,plain,
    ( ~ spl1_146
    | spl1_18
    | ~ spl1_105 ),
    inference(avatar_split_clause,[],[f1594,f1332,f897,f1599]) ).

thf(f1796,plain,
    ( ! [X1: $i > $o] :
        ( ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
              ( ( Y1 @ Y2 )
              | ( Y0 @ Y2 ) )
          @ X1 )
        = ( mor @ X1 ) )
    | ~ spl1_143 ),
    inference(argument_congruence,[],[f1524]) ).

thf(f1797,plain,
    ( ! [X1: $i > $o] :
        ( ( mor @ X1 )
        = ( ^ [Y0: $i > $o,Y1: $i] :
              ( ( Y0 @ Y1 )
              | ( X1 @ Y1 ) ) ) )
    | ~ spl1_143 ),
    inference(beta-eta_normalization,[],[f1796]) ).

thf(f1812,plain,
    ( ( $true != $true )
    | ( ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) @ ( sK2 @ ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ) ) )
      = $false )
    | ~ spl1_114
    | spl1_146 ),
    inference(superposition,[],[f1601,f1539]) ).

thf(f1814,plain,
    ( ( ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) @ ( sK2 @ ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ) ) )
      = $false )
    | ~ spl1_114
    | spl1_146 ),
    inference(trivial_inequality_removal,[],[f1812]) ).

thf(f1818,definition,
    ( spl1_147
  <=> ( ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) @ ( sK2 @ ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ) ) )
      = $false ) ),
    introduced(definition,[new_symbols(definition,[spl1_147])],[avatar_definition]) ).

thf(f1820,plain,
    ( ( ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) @ ( sK2 @ ( mbox_s4 @ ( mor @ ( mnot @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ) ) )
      = $false )
    | ~ spl1_147 ),
    inference(avatar_component_clause,[],[f1818]) ).

thf(f1821,plain,
    ( spl1_147
    | ~ spl1_114
    | spl1_146 ),
    inference(avatar_split_clause,[],[f1814,f1599,f1377,f1818]) ).

thf(f2187,plain,
    ( ! [X1: $i > $o] :
        ( ( mnot @ X1 )
        = ( ^ [Y0: $i > $o,Y1: $i] :
              ~ ( Y0 @ Y1 )
          @ X1 ) )
    | ~ spl1_103 ),
    inference(argument_congruence,[],[f1324]) ).

thf(f2188,plain,
    ( ! [X1: $i > $o] :
        ( ( mnot @ X1 )
        = ( ^ [Y0: $i] :
              ~ ( X1 @ Y0 ) ) )
    | ~ spl1_103 ),
    inference(beta-eta_normalization,[],[f2187]) ).

thf(f2223,plain,
    ( ( ( mbox_s4
        @ ( mor
          @ ^ [Y0: $i] :
              ~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) @ Y0 )
          @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) )
        @ ( sK2
          @ ( mbox_s4
            @ ( mor
              @ ^ [Y0: $i] :
                  ~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) @ Y0 )
              @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ) ) )
      = $false )
    | ~ spl1_103
    | ~ spl1_147 ),
    inference(backward_demodulation,[],[f1820,f2188]) ).

thf(f2246,definition,
    ( spl1_150
  <=> ( ( mbox_s4
        @ ( mor
          @ ^ [Y0: $i] :
              ~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) @ Y0 )
          @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) )
        @ ( sK2
          @ ( mbox_s4
            @ ( mor
              @ ^ [Y0: $i] :
                  ~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) @ Y0 )
              @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ) ) )
      = $false ) ),
    introduced(definition,[new_symbols(definition,[spl1_150])],[avatar_definition]) ).

thf(f2248,plain,
    ( ( ( mbox_s4
        @ ( mor
          @ ^ [Y0: $i] :
              ~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) @ Y0 )
          @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) )
        @ ( sK2
          @ ( mbox_s4
            @ ( mor
              @ ^ [Y0: $i] :
                  ~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) @ Y0 )
              @ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) ) ) ) ) )
      = $false )
    | ~ spl1_150 ),
    inference(avatar_component_clause,[],[f2246]) ).

thf(f2249,plain,
    ( spl1_150
    | ~ spl1_103
    | ~ spl1_147 ),
    inference(avatar_split_clause,[],[f2223,f1818,f1322,f2246]) ).

thf(f2304,plain,
    ( ! [X2: $i > $o,X1: $i > $o] :
        ( ( mor @ X1 @ X2 )
        = ( ^ [Y0: $i > $o,Y1: $i] :
              ( ( Y0 @ Y1 )
              | ( X1 @ Y1 ) )
          @ X2 ) )
    | ~ spl1_143 ),
    inference(argument_congruence,[],[f1797]) ).

thf(f2306,plain,
    ( ! [X2: $i > $o,X1: $i > $o] :
        ( ( ^ [Y0: $i] :
              ( ( X2 @ Y0 )
              | ( X1 @ Y0 ) ) )
        = ( mor @ X1 @ X2 ) )
    | ~ spl1_143 ),
    inference(beta-eta_normalization,[],[f2304]) ).

thf(f2333,plain,
    ( ! [X1: $i > $o] :
        ( ( ^ [Y0: $i > $o,Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( Y0 @ Y2 )
                  | ~ ( rel_s4 @ Y1 @ Y2 ) ) )
          @ X1 )
        = ( mbox_s4 @ X1 ) )
    | ~ spl1_46 ),
    inference(argument_congruence,[],[f1039]) ).

thf(f2334,plain,
    ( ! [X1: $i > $o] :
        ( ( ^ [Y0: $i] :
              ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( X1 @ Y1 )
                  | ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
        = ( mbox_s4 @ X1 ) )
    | ~ spl1_46 ),
    inference(beta-eta_normalization,[],[f2333]) ).

thf(f2402,plain,
    ( ( $false
      = ( mbox_s4
        @ ^ [Y0: $i] :
            ( ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) @ Y0 )
            | ( ^ [Y1: $i] :
                  ~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) @ Y1 )
              @ Y0 ) )
        @ ( sK2
          @ ( mbox_s4
            @ ^ [Y0: $i] :
                ( ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) @ Y0 )
                | ( ^ [Y1: $i] :
                      ~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) @ Y1 )
                  @ Y0 ) ) ) ) ) )
    | ~ spl1_143
    | ~ spl1_150 ),
    inference(backward_demodulation,[],[f2248,f2306]) ).

thf(f2406,plain,
    ( ( ( mbox_s4
        @ ^ [Y0: $i] :
            ( ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) @ Y0 )
            | ~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) @ Y0 ) )
        @ ( sK2
          @ ( mbox_s4
            @ ^ [Y0: $i] :
                ( ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) @ Y0 )
                | ~ ( mand @ ( mbox_s4 @ ( leq @ n0 @ pv68 ) ) @ ( mbox_s4 @ ( leq @ pv68 @ ( minus @ n5 @ n1 ) ) ) @ Y0 ) ) ) ) )
      = $false )
    | ~ spl1_143
    | ~ spl1_150 ),
    inference(beta-eta_normalization,[],[f2402]) ).

thf(f2407,plain,
    ( ( $false
      = ( mbox_s4
        @ ^ [Y0: $i] : $true
        @ ( sK2
          @ ( mbox_s4
            @ ^ [Y0: $i] : $true ) ) ) )
    | ~ spl1_143
    | ~ spl1_150 ),
    inference(boolean_simplification,[],[f2406]) ).

thf(f2421,definition,
    ( spl1_152
  <=> ( $false
      = ( mbox_s4
        @ ^ [Y0: $i] : $true
        @ ( sK2
          @ ( mbox_s4
            @ ^ [Y0: $i] : $true ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl1_152])],[avatar_definition]) ).

thf(f2423,plain,
    ( ( $false
      = ( mbox_s4
        @ ^ [Y0: $i] : $true
        @ ( sK2
          @ ( mbox_s4
            @ ^ [Y0: $i] : $true ) ) ) )
    | ~ spl1_152 ),
    inference(avatar_component_clause,[],[f2421]) ).

thf(f2424,plain,
    ( spl1_152
    | ~ spl1_143
    | ~ spl1_150 ),
    inference(avatar_split_clause,[],[f2407,f2246,f1522,f2421]) ).

thf(f2536,plain,
    ( ( $false
      = ( ^ [Y0: $i] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( ^ [Y2: $i] : $true
                  @ Y1 )
                | ~ ( rel_s4 @ Y0 @ Y1 ) ) )
        @ ( sK2
          @ ^ [Y0: $i] :
              ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( ^ [Y2: $i] : $true
                    @ Y1 )
                  | ~ ( rel_s4 @ Y0 @ Y1 ) ) ) ) ) )
    | ~ spl1_46
    | ~ spl1_152 ),
    inference(backward_demodulation,[],[f2423,f2334]) ).

thf(f2539,plain,
    ( ( $false
      = ( !! @ $i
        @ ^ [Y0: $i] :
            ( $true
            | ~ ( rel_s4
                @ ( sK2
                  @ ^ [Y1: $i] :
                      ( !! @ $i
                      @ ^ [Y2: $i] :
                          ( $true
                          | ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
                @ Y0 ) ) ) )
    | ~ spl1_46
    | ~ spl1_152 ),
    inference(beta-eta_normalization,[],[f2536]) ).

thf(f2540,plain,
    ( ( ( ^ [Y0: $i] :
            ( $true
            | ~ ( rel_s4
                @ ( sK2
                  @ ^ [Y1: $i] :
                      ( !! @ $i
                      @ ^ [Y2: $i] :
                          ( $true
                          | ~ ( rel_s4 @ Y1 @ Y2 ) ) ) )
                @ Y0 ) )
        @ sK4 )
      = $false )
    | ~ spl1_46
    | ~ spl1_152 ),
    inference(sigma_proxy_clausification,[],[f2539]) ).

thf(f2541,plain,
    ( ( $false
      = ( $true
        | ~ ( rel_s4
            @ ( sK2
              @ ^ [Y0: $i] :
                  ( !! @ $i
                  @ ^ [Y1: $i] :
                      ( $true
                      | ~ ( rel_s4 @ Y0 @ Y1 ) ) ) )
            @ sK4 ) ) )
    | ~ spl1_46
    | ~ spl1_152 ),
    inference(beta-eta_normalization,[],[f2540]) ).

thf(f2543,plain,
    ( ( $false = $true )
    | ~ spl1_46
    | ~ spl1_152 ),
    inference(or_proxy_clausification,[],[f2541]) ).

thf(f2544,plain,
    ( $false
    | ~ spl1_46
    | ~ spl1_152 ),
    inference(trivial_inequality_removal,[],[f2543]) ).

thf(f2545,plain,
    ( ~ spl1_46
    | ~ spl1_152 ),
    inference(avatar_contradiction_clause,[],[f2544]) ).

cnf(s18,plain,
    ~ spl1_18,
    inference(sat_conversion,[],[f900]) ).

cnf(s46,plain,
    spl1_46,
    inference(sat_conversion,[],[f1040]) ).

cnf(s103,plain,
    spl1_103,
    inference(sat_conversion,[],[f1325]) ).

cnf(s105,plain,
    spl1_105,
    inference(sat_conversion,[],[f1335]) ).

cnf(s114,plain,
    spl1_114,
    inference(sat_conversion,[],[f1380]) ).

cnf(s143,plain,
    spl1_143,
    inference(sat_conversion,[],[f1525]) ).

cnf(s146,plain,
    ( spl1_18
    | ~ spl1_105
    | ~ spl1_146 ),
    inference(sat_conversion,[],[f1602]) ).

cnf(s147,plain,
    ( ~ spl1_114
    | spl1_146
    | spl1_147 ),
    inference(sat_conversion,[],[f1821]) ).

cnf(s151,plain,
    ( ~ spl1_103
    | ~ spl1_147
    | spl1_150 ),
    inference(sat_conversion,[],[f2249]) ).

cnf(s153,plain,
    ( ~ spl1_143
    | ~ spl1_150
    | spl1_152 ),
    inference(sat_conversion,[],[f2424]) ).

cnf(s156,plain,
    ( ~ spl1_46
    | ~ spl1_152 ),
    inference(sat_conversion,[],[f2545]) ).

cnf(s299,plain,
    ~ spl1_152,
    inference(rat,[],[s156,s46]) ).

cnf(s300,plain,
    ~ spl1_150,
    inference(rat,[],[s153,s143,s299]) ).

cnf(s302,plain,
    ~ spl1_147,
    inference(rat,[],[s151,s103,s300]) ).

cnf(s304,plain,
    spl1_146,
    inference(rat,[],[s147,s114,s302]) ).

cnf(s305,plain,
    spl1_18,
    inference(rat,[],[s146,s105,s304]) ).

cnf(s322,plain,
    $false,
    inference(rat,[],[s18,s305]) ).

thf(f2984,plain,
    $false,
    inference(avatar_sat_refutation,[],[s322]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV085^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.24  % Computer : n010.cluster.edu
% 0.11/0.24  % Model    : x86_64 x86_64
% 0.11/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24  % Memory   : 8046.5625MB
% 0.11/0.24  % OS       : Linux 6.8.0-71-generic
% 0.11/0.25  % CPULimit : 300
% 0.11/0.25  % WCLimit  : 300
% 0.11/0.25  % DateTime : Tue Sep 29 16:00:33 UTC 2026
% 0.11/0.25  % CPUTime  : 
% 0.11/0.25  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.29  Running higher-order theorem proving
% 0.24/0.34  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.96/0.53  % (3041266)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.96/0.53  % (3041271)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=272252282:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.96/0.53  % (3041277)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.96/0.53  % (3041277)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
% 0.96/0.53  % (3041273)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2208943056:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.96/0.53  % (3041272)lrs+10_16_si=on:nwc=1.5:random_seed=1655727236:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.96/0.53  % (3041275)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2377825516:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.96/0.53  % (3041276)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3184390354:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.96/0.53  % (3041274)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=3910842490: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)
% 0.96/0.53  % (3041277)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=214823091:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.96/0.53  % (3041273)Instruction limit reached! 
% 0.96/0.53  % (3041273)------------------------------
% 0.96/0.53  % (3041273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.53  % (3041273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.53  % (3041273)CaDiCaL version: 2.1.3
% 0.96/0.53  % (3041273)Termination reason: Instruction limit
% 0.96/0.53  % (3041273)Termination phase: shuffling
% 0.96/0.53  % (3041273)Time elapsed: 0.003 s
% 0.96/0.53  % (3041273)Peak memory usage: 10 MB
% 0.96/0.53  % (3041273)Instructions burned: 3 (million)
% 0.96/0.53  % (3041272)Instruction limit reached! 
% 0.96/0.53  % (3041272)------------------------------
% 0.96/0.53  % (3041272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.53  % (3041272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.53  % (3041272)CaDiCaL version: 2.1.3
% 0.96/0.53  % (3041272)Termination reason: Instruction limit
% 0.96/0.53  % (3041272)Termination phase: shuffling
% 0.96/0.53  % (3041272)Time elapsed: 0.014 s
% 0.96/0.53  % (3041272)Peak memory usage: 10 MB
% 0.96/0.53  % (3041272)Instructions burned: 18 (million)
% 0.96/0.53  % (3041275)Instruction limit reached! 
% 0.96/0.53  % (3041275)------------------------------
% 0.96/0.53  % (3041275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.53  % (3041275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.53  % (3041275)CaDiCaL version: 2.1.3
% 0.96/0.53  % (3041275)Termination reason: Instruction limit
% 0.96/0.53  % (3041275)Termination phase: shuffling
% 0.96/0.53  % (3041275)Time elapsed: 0.018 s
% 0.96/0.53  % (3041275)Peak memory usage: 10 MB
% 0.96/0.53  % (3041275)Instructions burned: 25 (million)
% 0.96/0.53  % (3041271)Instruction limit reached! 
% 0.96/0.53  % (3041271)------------------------------
% 0.96/0.53  % (3041271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.53  % (3041271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.53  % (3041271)CaDiCaL version: 2.1.3
% 0.96/0.53  % (3041271)Termination reason: Instruction limit
% 0.96/0.53  % (3041271)Termination phase: Function definition elimination
% 0.96/0.53  % (3041271)Time elapsed: 0.036 s
% 0.96/0.53  % (3041271)Peak memory usage: 11 MB
% 0.96/0.53  % (3041271)Instructions burned: 90 (million)
% 0.96/0.53  % (3041285)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=124637552:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.96/0.53  % (3041285)Instruction limit reached! 
% 0.96/0.53  % (3041285)------------------------------
% 0.96/0.53  % (3041285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.59  % (3041285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.59  % (3041285)CaDiCaL version: 2.1.3
% 1.63/0.59  % (3041285)Termination reason: Instruction limit
% 1.63/0.59  % (3041285)Termination phase: shuffling
% 1.63/0.59  % (3041285)Time elapsed: 0.002 s
% 1.63/0.59  % (3041285)Peak memory usage: 10 MB
% 1.63/0.59  % (3041285)Instructions burned: 3 (million)
% 1.63/0.59  % (3041289)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=231158211:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.63/0.59  % (3041286)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3786492373:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.63/0.59  % (3041287)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.63/0.59  % (3041289)Instruction limit reached! 
% 1.63/0.59  % (3041289)------------------------------
% 1.63/0.59  % (3041289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.59  % (3041289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.59  % (3041289)CaDiCaL version: 2.1.3
% 1.63/0.59  % (3041289)Termination reason: Instruction limit
% 1.63/0.59  % (3041289)Termination phase: shuffling
% 1.63/0.59  % (3041289)Time elapsed: 0.005 s
% 1.63/0.59  % (3041289)Peak memory usage: 10 MB
% 1.63/0.59  % (3041289)Instructions burned: 12 (million)
% 1.63/0.59  % (3041290)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
% 1.63/0.59  % (3041290)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.63/0.59  % (3041286)Instruction limit reached! 
% 1.63/0.59  % (3041286)------------------------------
% 1.63/0.59  % (3041286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.59  % (3041286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.59  % (3041286)CaDiCaL version: 2.1.3
% 1.63/0.59  % (3041286)Termination reason: Instruction limit
% 1.63/0.59  % (3041286)Termination phase: shuffling
% 1.63/0.59  % (3041286)Time elapsed: 0.005 s
% 1.63/0.59  % (3041286)Peak memory usage: 10 MB
% 1.63/0.59  % (3041286)Instructions burned: 5 (million)
% 1.63/0.59  % (3041287)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2348227101:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.63/0.59  % (3041290)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2952706578:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.63/0.59  % (3041276)Instruction limit reached! 
% 1.63/0.59  % (3041276)------------------------------
% 1.63/0.59  % (3041276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.59  % (3041276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.59  % (3041276)CaDiCaL version: 2.1.3
% 1.63/0.59  % (3041276)Termination reason: Instruction limit
% 1.63/0.59  % (3041276)Termination phase: Property scanning
% 1.63/0.59  % (3041276)Time elapsed: 0.057 s
% 1.63/0.59  % (3041276)Peak memory usage: 11 MB
% 1.63/0.59  % (3041276)Instructions burned: 75 (million)
% 1.63/0.59  % (3041287)Instruction limit reached! 
% 1.63/0.59  % (3041287)------------------------------
% 1.63/0.59  % (3041287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.59  % (3041287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.59  % (3041287)CaDiCaL version: 2.1.3
% 1.63/0.59  % (3041287)Termination reason: Instruction limit
% 1.63/0.59  % (3041287)Termination phase: shuffling
% 1.63/0.59  % (3041287)Time elapsed: 0.006 s
% 1.63/0.59  % (3041287)Peak memory usage: 10 MB
% 1.63/0.59  % (3041287)Instructions burned: 7 (million)
% 1.63/0.59  % (3041293)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=499065204:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.63/0.59  % (3041290)Instruction limit reached! 
% 1.63/0.59  % (3041290)------------------------------
% 1.63/0.59  % (3041290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.64  % (3041290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.64  % (3041290)CaDiCaL version: 2.1.3
% 1.93/0.64  % (3041290)Termination reason: Instruction limit
% 1.93/0.64  % (3041290)Termination phase: Property scanning
% 1.93/0.64  % (3041290)Time elapsed: 0.025 s
% 1.93/0.64  % (3041290)Peak memory usage: 10 MB
% 1.93/0.64  % (3041290)Instructions burned: 29 (million)
% 1.93/0.64  % (3041297)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.93/0.64  % (3041295)lrs+10_1_si=on:cs=on:random_seed=2207710162:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.93/0.64  % (3041297)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=3745973592:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.93/0.64  % (3041298)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1489463135:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.93/0.64  % (3041297)Instruction limit reached! 
% 1.93/0.64  % (3041297)------------------------------
% 1.93/0.64  % (3041297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.64  % (3041297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.64  % (3041297)CaDiCaL version: 2.1.3
% 1.93/0.64  % (3041297)Termination reason: Instruction limit
% 1.93/0.64  % (3041297)Termination phase: shuffling
% 1.93/0.64  % (3041297)Time elapsed: 0.002 s
% 1.93/0.64  % (3041297)Peak memory usage: 10 MB
% 1.93/0.64  % (3041297)Instructions burned: 2 (million)
% 1.93/0.64  % (3041295)Instruction limit reached! 
% 1.93/0.64  % (3041295)------------------------------
% 1.93/0.64  % (3041295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.64  % (3041295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.64  % (3041295)CaDiCaL version: 2.1.3
% 1.93/0.64  % (3041295)Termination reason: Instruction limit
% 1.93/0.64  % (3041295)Termination phase: shuffling
% 1.93/0.64  % (3041295)Time elapsed: 0.007 s
% 1.93/0.64  % (3041295)Peak memory usage: 10 MB
% 1.93/0.64  % (3041295)Instructions burned: 9 (million)
% 1.93/0.64  % (3041293)Instruction limit reached! 
% 1.93/0.64  % (3041293)------------------------------
% 1.93/0.64  % (3041293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.64  % (3041293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.64  % (3041293)CaDiCaL version: 2.1.3
% 1.93/0.64  % (3041293)Termination reason: Instruction limit
% 1.93/0.64  % (3041293)Termination phase: Function definition elimination
% 1.93/0.64  % (3041293)Time elapsed: 0.035 s
% 1.93/0.64  % (3041293)Peak memory usage: 11 MB
% 1.93/0.64  % (3041293)Instructions burned: 88 (million)
% 1.93/0.64  % (3041300)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=475452549:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.93/0.64  % (3041277)Instruction limit reached! 
% 1.93/0.64  % (3041277)------------------------------
% 1.93/0.64  % (3041277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.64  % (3041277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.64  % (3041277)CaDiCaL version: 2.1.3
% 1.93/0.64  % (3041277)Termination reason: Instruction limit
% 1.93/0.64  % (3041277)Termination phase: Property scanning
% 1.93/0.64  % (3041277)Time elapsed: 0.117 s
% 1.93/0.64  % (3041277)Peak memory usage: 11 MB
% 1.93/0.64  % (3041277)Instructions burned: 157 (million)
% 1.93/0.64  % (3041306)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3926963560:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.93/0.64  % (3041298)Instruction limit reached! 
% 1.93/0.64  % (3041298)------------------------------
% 1.93/0.64  % (3041298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.64  % (3041298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.64  % (3041298)CaDiCaL version: 2.1.3
% 1.93/0.64  % (3041298)Termination reason: Instruction limit
% 1.93/0.64  % (3041298)Termination phase: Property scanning
% 1.93/0.64  % (3041298)Time elapsed: 0.029 s
% 1.93/0.64  % (3041298)Peak memory usage: 10 MB
% 1.93/0.64  % (3041298)Instructions burned: 38 (million)
% 1.93/0.64  % (3041304)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1980256008:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.93/0.68  % (3041305)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2839922855:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.93/0.68  % (3041305)Instruction limit reached! 
% 1.93/0.68  % (3041305)------------------------------
% 1.93/0.68  % (3041305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.68  % (3041305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.68  % (3041305)CaDiCaL version: 2.1.3
% 1.93/0.68  % (3041305)Termination reason: Instruction limit
% 1.93/0.68  % (3041305)Termination phase: shuffling
% 1.93/0.68  % (3041305)Time elapsed: 0.014 s
% 1.93/0.68  % (3041305)Peak memory usage: 10 MB
% 1.93/0.68  % (3041305)Instructions burned: 18 (million)
% 1.93/0.68  % (3041304)Instruction limit reached! 
% 1.93/0.68  % (3041304)------------------------------
% 1.93/0.68  % (3041304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.68  % (3041304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.68  % (3041304)CaDiCaL version: 2.1.3
% 1.93/0.68  % (3041304)Termination reason: Instruction limit
% 1.93/0.68  % (3041304)Termination phase: shuffling
% 1.93/0.68  % (3041304)Time elapsed: 0.019 s
% 1.93/0.68  % (3041304)Peak memory usage: 10 MB
% 1.93/0.68  % (3041304)Instructions burned: 26 (million)
% 1.93/0.68  % (3041310)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=953171842: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)
% 1.93/0.68  % (3041310)Instruction limit reached! 
% 1.93/0.68  % (3041310)------------------------------
% 1.93/0.68  % (3041310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.68  % (3041310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.68  % (3041310)CaDiCaL version: 2.1.3
% 1.93/0.68  % (3041310)Termination reason: Instruction limit
% 1.93/0.68  % (3041310)Termination phase: shuffling
% 1.93/0.68  % (3041310)Time elapsed: 0.003 s
% 1.93/0.68  % (3041310)Peak memory usage: 10 MB
% 1.93/0.68  % (3041310)Instructions burned: 3 (million)
% 1.93/0.68  % (3041309)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2259634012:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.93/0.68  % (3041300)Refutation not found, incomplete strategy
% 1.93/0.68  % (3041300)------------------------------
% 1.93/0.68  % (3041300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.68  % (3041300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.68  % (3041300)CaDiCaL version: 2.1.3
% 1.93/0.68  % (3041300)Termination reason: Refutation not found, incomplete strategy
% 1.93/0.68  % (3041300)Time elapsed: 0.051 s
% 1.93/0.68  % (3041300)Peak memory usage: 13 MB
% 1.93/0.68  % (3041300)Instructions burned: 81 (million)
% 1.93/0.68  % (3041300)------------------------------
% 1.93/0.68  % (3041300)------------------------------
% 1.93/0.68  % (3041309)Instruction limit reached! 
% 1.93/0.68  % (3041309)------------------------------
% 1.93/0.68  % (3041309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.68  % (3041309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.68  % (3041309)CaDiCaL version: 2.1.3
% 1.93/0.68  % (3041309)Termination reason: Instruction limit
% 1.93/0.68  % (3041309)Termination phase: shuffling
% 1.93/0.68  % (3041309)Time elapsed: 0.012 s
% 1.93/0.68  % (3041309)Peak memory usage: 10 MB
% 1.93/0.68  % (3041309)Instructions burned: 15 (million)
% 1.93/0.68  % (3041313)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=504356209:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.93/0.68  % (3041314)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=773694510:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.93/0.68  % (3041319)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
% 1.93/0.68  % (3041319)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.93/0.68  % (3041317)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=689742259:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.35/0.78  % (3041320)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.35/0.78  % (3041314)Instruction limit reached! 
% 2.35/0.78  % (3041314)------------------------------
% 2.35/0.78  % (3041314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.78  % (3041314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.78  % (3041314)CaDiCaL version: 2.1.3
% 2.35/0.78  % (3041314)Termination reason: Instruction limit
% 2.35/0.78  % (3041314)Termination phase: shuffling
% 2.35/0.78  % (3041314)Time elapsed: 0.016 s
% 2.35/0.78  % (3041314)Peak memory usage: 10 MB
% 2.35/0.78  % (3041314)Instructions burned: 23 (million)
% 2.35/0.78  % (3041319)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=3387660714:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.35/0.78  % (3041313)Instruction limit reached! 
% 2.35/0.78  % (3041313)------------------------------
% 2.35/0.78  % (3041313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.78  % (3041313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.78  % (3041313)CaDiCaL version: 2.1.3
% 2.35/0.78  % (3041313)Termination reason: Instruction limit
% 2.35/0.78  % (3041313)Termination phase: shuffling
% 2.35/0.78  % (3041313)Time elapsed: 0.022 s
% 2.35/0.78  % (3041313)Peak memory usage: 10 MB
% 2.35/0.78  % (3041313)Instructions burned: 27 (million)
% 2.35/0.78  % (3041320)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=3948731025:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.35/0.78  % (3041320)Instruction limit reached! 
% 2.35/0.78  % (3041320)------------------------------
% 2.35/0.78  % (3041320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.78  % (3041320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.78  % (3041320)CaDiCaL version: 2.1.3
% 2.35/0.78  % (3041320)Termination reason: Instruction limit
% 2.35/0.78  % (3041320)Termination phase: shuffling
% 2.35/0.78  % (3041320)Time elapsed: 0.006 s
% 2.35/0.78  % (3041320)Peak memory usage: 10 MB
% 2.35/0.78  % (3041320)Instructions burned: 8 (million)
% 2.35/0.78  % (3041319)Instruction limit reached! 
% 2.35/0.78  % (3041319)------------------------------
% 2.35/0.78  % (3041319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.78  % (3041319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.78  % (3041319)CaDiCaL version: 2.1.3
% 2.35/0.78  % (3041319)Termination reason: Instruction limit
% 2.35/0.78  % (3041319)Termination phase: shuffling
% 2.35/0.78  % (3041319)Time elapsed: 0.012 s
% 2.35/0.78  % (3041319)Peak memory usage: 10 MB
% 2.35/0.78  % (3041319)Instructions burned: 14 (million)
% 2.35/0.78  % (3041329)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4259056347:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.35/0.78  % (3041324)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=2616317113:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.35/0.78  % (3041328)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2196550438:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.35/0.78  % (3041317)Instruction limit reached! 
% 2.35/0.78  % (3041317)------------------------------
% 2.35/0.78  % (3041317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.35/0.78  % (3041317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.35/0.78  % (3041317)CaDiCaL version: 2.1.3
% 2.35/0.78  % (3041317)Termination reason: Instruction limit
% 2.35/0.78  % (3041317)Termination phase: Clausification
% 2.35/0.78  % (3041317)Time elapsed: 0.046 s
% 2.35/0.78  % (3041317)Peak memory usage: 11 MB
% 2.35/0.78  % (3041317)Instructions burned: 60 (million)
% 2.35/0.78  % (3041328)Instruction limit reached! 
% 2.35/0.78  % (3041328)------------------------------
% 2.35/0.78  % (3041328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.89  % (3041328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.89  % (3041328)CaDiCaL version: 2.1.3
% 2.87/0.89  % (3041328)Termination reason: Instruction limit
% 2.87/0.89  % (3041328)Termination phase: shuffling
% 2.87/0.89  % (3041328)Time elapsed: 0.007 s
% 2.87/0.89  % (3041328)Peak memory usage: 10 MB
% 2.87/0.89  % (3041328)Instructions burned: 9 (million)
% 2.87/0.89  % (3041329)Instruction limit reached! 
% 2.87/0.89  % (3041329)------------------------------
% 2.87/0.89  % (3041329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.89  % (3041329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.89  % (3041329)CaDiCaL version: 2.1.3
% 2.87/0.89  % (3041329)Termination reason: Instruction limit
% 2.87/0.89  % (3041329)Termination phase: shuffling
% 2.87/0.89  % (3041329)Time elapsed: 0.012 s
% 2.87/0.89  % (3041329)Peak memory usage: 10 MB
% 2.87/0.89  % (3041329)Instructions burned: 23 (million)
% 2.87/0.89  % (3041330)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3943508860:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.87/0.89  % (3041306)Instruction limit reached! 
% 2.87/0.89  % (3041306)------------------------------
% 2.87/0.89  % (3041306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.89  % (3041306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.89  % (3041306)CaDiCaL version: 2.1.3
% 2.87/0.89  % (3041306)Termination reason: Instruction limit
% 2.87/0.89  % (3041306)Termination phase: Saturation
% 2.87/0.89  % (3041306)Time elapsed: 0.128 s
% 2.87/0.89  % (3041306)Peak memory usage: 14 MB
% 2.87/0.89  % (3041306)Instructions burned: 328 (million)
% 2.87/0.89  % (3041324)Instruction limit reached! 
% 2.87/0.89  % (3041324)------------------------------
% 2.87/0.89  % (3041324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.89  % (3041324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.89  % (3041324)CaDiCaL version: 2.1.3
% 2.87/0.89  % (3041324)Termination reason: Instruction limit
% 2.87/0.89  % (3041324)Termination phase: Property scanning
% 2.87/0.89  % (3041324)Time elapsed: 0.025 s
% 2.87/0.89  % (3041324)Peak memory usage: 10 MB
% 2.87/0.89  % (3041324)Instructions burned: 31 (million)
% 2.87/0.89  % (3041330)Instruction limit reached! 
% 2.87/0.89  % (3041330)------------------------------
% 2.87/0.89  % (3041330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.89  % (3041330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.89  % (3041330)CaDiCaL version: 2.1.3
% 2.87/0.89  % (3041330)Termination reason: Instruction limit
% 2.87/0.89  % (3041330)Termination phase: shuffling
% 2.87/0.89  % (3041330)Time elapsed: 0.015 s
% 2.87/0.89  % (3041330)Peak memory usage: 10 MB
% 2.87/0.89  % (3041330)Instructions burned: 20 (million)
% 2.87/0.89  % (3041336)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1299557035:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.87/0.89  % (3041338)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3613522466:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.87/0.89  % (3041339)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.87/0.89  % (3041334)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=499137671:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.87/0.89  % (3041335)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1282459752:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.87/0.89  % (3041339)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=42341681:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.87/0.89  % (3041339)Instruction limit reached! 
% 2.87/0.89  % (3041339)------------------------------
% 2.87/0.89  % (3041339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.87/0.89  % (3041339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/0.89  % (3041339)CaDiCaL version: 2.1.3
% 2.87/0.89  % (3041339)Termination reason: Instruction limit
% 2.87/0.89  % (3041339)Termination phase: shuffling
% 2.87/0.89  % (3041339)Time elapsed: 0.004 s
% 2.87/0.89  % (3041339)Peak memory usage: 10 MB
% 2.87/0.89  % (3041339)Instructions burned: 9 (million)
% 3.40/0.98  % (3041338)Instruction limit reached! 
% 3.40/0.98  % (3041338)------------------------------
% 3.40/0.98  % (3041338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/0.98  % (3041338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/0.98  % (3041338)CaDiCaL version: 2.1.3
% 3.40/0.98  % (3041338)Termination reason: Instruction limit
% 3.40/0.98  % (3041338)Termination phase: Property scanning
% 3.40/0.98  % (3041338)Time elapsed: 0.017 s
% 3.40/0.98  % (3041338)Peak memory usage: 10 MB
% 3.40/0.98  % (3041338)Instructions burned: 44 (million)
% 3.40/0.98  % (3041340)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1811324004:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 3.40/0.98  % (3041346)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=3222126700:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 3.40/0.98  % (3041347)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.40/0.98  % (3041347)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=335504657:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 3.40/0.98  % (3041347)Instruction limit reached! 
% 3.40/0.98  % (3041347)------------------------------
% 3.40/0.98  % (3041347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/0.98  % (3041347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/0.98  % (3041347)CaDiCaL version: 2.1.3
% 3.40/0.98  % (3041347)Termination reason: Instruction limit
% 3.40/0.98  % (3041347)Termination phase: shuffling
% 3.40/0.98  % (3041347)Time elapsed: 0.005 s
% 3.40/0.98  % (3041347)Peak memory usage: 10 MB
% 3.40/0.98  % (3041347)Instructions burned: 6 (million)
% 3.40/0.98  % (3041351)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1334496799:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 3.40/0.98  % (3041351)Instruction limit reached! 
% 3.40/0.98  % (3041351)------------------------------
% 3.40/0.98  % (3041351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/0.98  % (3041351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/0.98  % (3041351)CaDiCaL version: 2.1.3
% 3.40/0.98  % (3041351)Termination reason: Instruction limit
% 3.40/0.98  % (3041351)Termination phase: shuffling
% 3.40/0.98  % (3041351)Time elapsed: 0.010 s
% 3.40/0.98  % (3041351)Peak memory usage: 10 MB
% 3.40/0.98  % (3041351)Instructions burned: 24 (million)
% 3.40/0.98  % (3041336)Refutation not found, incomplete strategy
% 3.40/0.98  % (3041336)------------------------------
% 3.40/0.98  % (3041336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/0.98  % (3041336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/0.98  % (3041336)CaDiCaL version: 2.1.3
% 3.40/0.98  % (3041336)Termination reason: Refutation not found, incomplete strategy
% 3.40/0.98  % (3041336)Time elapsed: 0.096 s
% 3.40/0.98  % (3041336)Peak memory usage: 14 MB
% 3.40/0.98  % (3041336)Instructions burned: 122 (million)
% 3.40/0.98  % (3041336)------------------------------
% 3.40/0.98  % (3041336)------------------------------
% 3.40/0.98  % (3041346)Refutation not found, incomplete strategy
% 3.40/0.98  % (3041346)------------------------------
% 3.40/0.98  % (3041346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/0.98  % (3041346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/0.98  % (3041346)CaDiCaL version: 2.1.3
% 3.40/0.98  % (3041346)Termination reason: Refutation not found, incomplete strategy
% 3.40/0.98  % (3041346)Time elapsed: 0.062 s
% 3.40/0.98  % (3041346)Peak memory usage: 14 MB
% 3.40/0.98  % (3041346)Instructions burned: 132 (million)
% 3.40/0.98  % (3041346)------------------------------
% 3.40/0.98  % (3041346)------------------------------
% 3.40/0.98  % (3041335)Instruction limit reached! 
% 3.40/0.98  % (3041335)------------------------------
% 3.40/0.98  % (3041335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.40/0.98  % (3041335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/0.98  % (3041335)CaDiCaL version: 2.1.3
% 3.40/0.98  % (3041335)Termination reason: Instruction limit
% 5.00/1.09  % (3041335)Termination phase: Property scanning
% 5.00/1.09  % (3041335)Time elapsed: 0.105 s
% 5.00/1.09  % (3041335)Peak memory usage: 11 MB
% 5.00/1.09  % (3041335)Instructions burned: 143 (million)
% 5.00/1.09  % (3041354)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2335306921:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 5.00/1.09  % (3041353)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=661410151:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 5.00/1.09  % (3041355)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=2184742585:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 5.00/1.09  % (3041353)Instruction limit reached! 
% 5.00/1.09  % (3041353)------------------------------
% 5.00/1.09  % (3041353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.00/1.09  % (3041353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.09  % (3041353)CaDiCaL version: 2.1.3
% 5.00/1.09  % (3041353)Termination reason: Instruction limit
% 5.00/1.09  % (3041353)Termination phase: shuffling
% 5.00/1.09  % (3041353)Time elapsed: 0.016 s
% 5.00/1.09  % (3041353)Peak memory usage: 10 MB
% 5.00/1.09  % (3041353)Instructions burned: 20 (million)
% 5.00/1.09  % (3041356)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=352046673:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 5.00/1.09  % (3041360)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4157275235:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 5.00/1.09  % (3041340)Instruction limit reached! 
% 5.00/1.09  % (3041340)------------------------------
% 5.00/1.09  % (3041340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.00/1.09  % (3041340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.09  % (3041340)CaDiCaL version: 2.1.3
% 5.00/1.09  % (3041340)Termination reason: Instruction limit
% 5.00/1.09  % (3041340)Termination phase: Saturation
% 5.00/1.09  % (3041340)Time elapsed: 0.143 s
% 5.00/1.09  % (3041340)Peak memory usage: 13 MB
% 5.00/1.09  % (3041340)Instructions burned: 181 (million)
% 5.00/1.09  % (3041356)Instruction limit reached! 
% 5.00/1.09  % (3041356)------------------------------
% 5.00/1.09  % (3041356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.00/1.09  % (3041356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.09  % (3041356)CaDiCaL version: 2.1.3
% 5.00/1.09  % (3041356)Termination reason: Instruction limit
% 5.00/1.09  % (3041356)Termination phase: shuffling
% 5.00/1.09  % (3041356)Time elapsed: 0.034 s
% 5.00/1.09  % (3041356)Peak memory usage: 10 MB
% 5.00/1.09  % (3041356)Instructions burned: 45 (million)
% 5.00/1.09  % (3041363)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1089905107:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2995 on theBenchmark for (2995ds/21Mi)
% 5.00/1.09  % (3041364)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 5.00/1.09  % (3041364)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1558075267:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 5.00/1.09  % (3041363)Instruction limit reached! 
% 5.00/1.09  % (3041363)------------------------------
% 5.00/1.09  % (3041363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.00/1.09  % (3041363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.09  % (3041363)CaDiCaL version: 2.1.3
% 5.00/1.09  % (3041363)Termination reason: Instruction limit
% 5.00/1.09  % (3041363)Termination phase: shuffling
% 5.00/1.09  % (3041363)Time elapsed: 0.016 s
% 5.00/1.09  % (3041363)Peak memory usage: 10 MB
% 5.00/1.09  % (3041363)Instructions burned: 21 (million)
% 5.00/1.09  % (3041360)Refutation not found, incomplete strategy
% 5.00/1.09  % (3041360)------------------------------
% 5.00/1.09  % (3041360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.00/1.10  % (3041360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.10  % (3041360)CaDiCaL version: 2.1.3
% 5.00/1.10  % (3041360)Termination reason: Refutation not found, incomplete strategy
% 5.00/1.10  % (3041360)Time elapsed: 0.063 s
% 5.00/1.10  % (3041360)Peak memory usage: 14 MB
% 5.00/1.10  % (3041360)Instructions burned: 137 (million)
% 5.00/1.10  % (3041360)------------------------------
% 5.00/1.10  % (3041360)------------------------------
% 5.00/1.10  % (3041354)Instruction limit reached! 
% 5.00/1.10  % (3041354)------------------------------
% 5.00/1.10  % (3041354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.00/1.10  % (3041354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.10  % (3041354)CaDiCaL version: 2.1.3
% 5.00/1.10  % (3041354)Termination reason: Instruction limit
% 5.00/1.10  % (3041354)Termination phase: Saturation
% 5.00/1.10  % (3041354)Time elapsed: 0.128 s
% 5.00/1.10  % (3041368)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3338311949:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 5.00/1.10  % (3041354)Peak memory usage: 13 MB
% 5.00/1.10  % (3041354)Instructions burned: 319 (million)
% 5.00/1.10  % (3041274)Instruction limit reached! 
% 5.00/1.10  % (3041274)------------------------------
% 5.00/1.10  % (3041274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.00/1.10  % (3041274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.10  % (3041274)CaDiCaL version: 2.1.3
% 5.00/1.10  % (3041274)Termination reason: Instruction limit
% 5.00/1.10  % (3041274)Termination phase: Saturation
% 5.00/1.10  % (3041274)Time elapsed: 0.513 s
% 5.00/1.10  % (3041274)Peak memory usage: 17 MB
% 5.00/1.10  % (3041274)Instructions burned: 634 (million)
% 5.00/1.10  % (3041367)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=56597440:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 5.00/1.10  % (3041367)Instruction limit reached! 
% 5.00/1.10  % (3041367)------------------------------
% 5.00/1.10  % (3041367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.00/1.10  % (3041367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.10  % (3041367)CaDiCaL version: 2.1.3
% 5.00/1.10  % (3041367)Termination reason: Instruction limit
% 5.00/1.10  % (3041367)Termination phase: shuffling
% 5.00/1.10  % (3041367)Time elapsed: 0.010 s
% 5.00/1.10  % (3041367)Peak memory usage: 10 MB
% 5.00/1.10  % (3041367)Instructions burned: 13 (million)
% 5.00/1.10  % (3041368)Instruction limit reached! 
% 5.00/1.10  % (3041368)------------------------------
% 5.00/1.10  % (3041368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.00/1.10  % (3041368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.10  % (3041368)CaDiCaL version: 2.1.3
% 5.00/1.10  % (3041368)Termination reason: Instruction limit
% 5.00/1.10  % (3041368)Termination phase: Property scanning
% 5.00/1.10  % (3041368)Time elapsed: 0.030 s
% 5.00/1.10  % (3041368)Peak memory usage: 11 MB
% 5.00/1.10  % (3041368)Instructions burned: 66 (million)
% 5.00/1.10  % (3041370)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1123228964:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 5.00/1.10  % (3041373)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1397141608:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2994 on theBenchmark for (2994ds/137Mi)
% 5.00/1.10  % (3041371)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3282517084:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 5.00/1.10  % (3041374)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3038809295:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 5.00/1.10  % (3041371)Instruction limit reached! 
% 5.00/1.10  % (3041371)------------------------------
% 5.00/1.10  % (3041371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.00/1.10  % (3041371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.10  % (3041371)CaDiCaL version: 2.1.3
% 5.00/1.10  % (3041371)Termination reason: Instruction limit
% 5.00/1.10  % (3041371)Termination phase: Property scanning
% 5.00/1.10  % (3041371)Time elapsed: 0.026 s
% 5.00/1.10  % (3041371)Peak memory usage: 10 MB
% 5.00/1.10  % (3041371)Instructions burned: 32 (million)
% 5.00/1.10  % (3041374)Instruction limit reached! 
% 5.00/1.10  % (3041374)------------------------------
% 5.00/1.10  % (3041374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.00/1.10  % (3041374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.10  % (3041374)CaDiCaL version: 2.1.3
% 5.00/1.10  % (3041374)Termination reason: Instruction limit
% 5.00/1.10  % (3041374)Termination phase: Property scanning
% 5.00/1.10  % (3041374)Time elapsed: 0.016 s
% 5.00/1.10  % (3041374)Peak memory usage: 10 MB
% 5.00/1.10  % (3041374)Instructions burned: 34 (million)
% 5.00/1.10  % (3041370)Instruction limit reached! 
% 5.00/1.10  % (3041370)------------------------------
% 5.00/1.10  % (3041370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.00/1.10  % (3041370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.10  % (3041370)CaDiCaL version: 2.1.3
% 5.00/1.10  % (3041370)Termination reason: Instruction limit
% 5.00/1.10  % (3041370)Termination phase: Property scanning
% 5.00/1.10  % (3041370)Time elapsed: 0.039 s
% 5.00/1.10  % (3041370)Peak memory usage: 10 MB
% 5.00/1.10  % (3041370)Instructions burned: 51 (million)
% 5.00/1.10  % (3041380)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.00/1.10  % (3041373)Instruction limit reached! 
% 5.00/1.10  % (3041373)------------------------------
% 5.00/1.10  % (3041373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.00/1.10  % (3041373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.10  % (3041373)CaDiCaL version: 2.1.3
% 5.00/1.10  % (3041373)Termination reason: Instruction limit
% 5.00/1.10  % (3041373)Termination phase: Saturation
% 5.00/1.10  % (3041373)Time elapsed: 0.058 s
% 5.00/1.10  % (3041373)Peak memory usage: 13 MB
% 5.00/1.10  % (3041373)Instructions burned: 139 (million)
% 5.00/1.10  % (3041379)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=120254972:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/67Mi)
% 5.00/1.10  % (3041380)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1441692160:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2993 on theBenchmark for (2993ds/180Mi)
% 5.00/1.10  % (3041381)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=228795974:st=2:i=246:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/246Mi)
% 5.00/1.10  % (3041364)Instruction limit reached! 
% 5.00/1.10  % (3041364)------------------------------
% 5.00/1.10  % (3041364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.00/1.10  % (3041364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.10  % (3041364)CaDiCaL version: 2.1.3
% 5.00/1.10  % (3041364)Termination reason: Instruction limit
% 5.00/1.10  % (3041364)Termination phase: Property scanning
% 5.00/1.10  % (3041364)Time elapsed: 0.149 s
% 5.00/1.10  % (3041364)Peak memory usage: 11 MB
% 5.00/1.10  % (3041364)Instructions burned: 200 (million)
% 5.00/1.10  % (3041383)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=715839806:cond=on:i=96:bd=all:rtra=on_2993 on theBenchmark for (2993ds/96Mi)
% 5.00/1.10  % (3041379)Instruction limit reached! 
% 5.00/1.10  % (3041379)------------------------------
% 5.00/1.10  % (3041379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.00/1.10  % (3041379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.10  % (3041379)CaDiCaL version: 2.1.3
% 5.00/1.10  % (3041379)Termination reason: Instruction limit
% 5.00/1.10  % (3041379)Termination phase: Property scanning
% 5.00/1.10  % (3041379)Time elapsed: 0.054 s
% 5.00/1.10  % (3041379)Peak memory usage: 11 MB
% 5.00/1.10  % (3041379)Instructions burned: 68 (million)
% 5.00/1.10  % (3041386)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3748964025:i=427:sd=1:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/427Mi)
% 5.00/1.10  % (3041355) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3041266-3041355"...
% 5.00/1.10  % (3041380)Instruction limit reached! 
% 5.00/1.10  % (3041380)------------------------------
% 5.00/1.10  % (3041380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.00/1.10  % (3041380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.10  % (3041380)CaDiCaL version: 2.1.3
% 5.00/1.10  % (3041380)Termination reason: Instruction limit
% 5.00/1.10  % (3041380)Termination phase: Property scanning
% 5.00/1.10  % (3041380)Time elapsed: 0.072 s
% 5.00/1.10  % (3041380)Peak memory usage: 11 MB
% 5.00/1.10  % (3041380)Instructions burned: 181 (million)
% 5.00/1.10  % (3041389)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=20950838:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/874Mi)
% 5.00/1.10  % (3041355)...printing done.
% 5.00/1.10  % (3041355)Refutation found. Thanks to Tanya!
% 5.00/1.10  % SZS status Theorem for theBenchmark
% 5.00/1.10  % SZS output start Proof for theBenchmark
% See solution above
% 5.00/1.10  % (3041355)------------------------------
% 5.00/1.10  % (3041355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.00/1.10  % (3041355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.10  % (3041355)CaDiCaL version: 2.1.3
% 5.00/1.10  % (3041355)Termination reason: Refutation
% 5.00/1.10  % (3041355)Time elapsed: 0.290 s
% 5.00/1.10  % (3041355)Peak memory usage: 16 MB
% 5.00/1.10  % (3041355)Instructions burned: 343 (million)
% 5.00/1.10  % (3041266)Success in time 0.744 s
% 5.00/1.10  % Vampire exiting
%------------------------------------------------------------------------------