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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU490^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 08:29:47 AM UTC 2026

% Result   : Theorem 2.55s 0.74s
% Output   : Refutation 2.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :   10
% Syntax   : Number of formulae    :  126 (  58 unt;   0 typ;   3 def)
%            Number of atoms       :  675 ( 213 equ;   0 cnn)
%            Maximal formula atoms :    4 (   5 avg)
%            Number of connectives :  897 (  23   ~; 111   |;  19   &; 704   @)
%                                         (   2 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  228 ( 228   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   57 (  52 usr;   8 con; 0-4 aty)
%                                         (  12  !!;  11  ??;   0 @@+;   0 @@-)
%            Number of variables   :  290 (   0 sgn 179   !;   3   ?; 290   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    sTfun: ( $tType * $tType ) > $tType ).

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

thf(func_def_2,type,
    inv: ( $i > $i > $o ) > $i > $i > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(func_def_30,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_31,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_32,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_33,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_34,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_35,type,
    vIMP: $o > $o > $o ).

thf(func_def_36,type,
    vAND: $o > $o > $o ).

thf(func_def_37,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_38,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_39,type,
    vNOT: $o > $o ).

thf(func_def_42,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_43,type,
    vOR: $o > $o > $o ).

thf(func_def_44,type,
    sK0: $i > $i > $o ).

thf(func_def_45,type,
    sF1: $o ).

thf(func_def_46,type,
    sF2: $o ).

thf(func_def_48,type,
    sK4: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(func_def_49,type,
    sK5: ( $i > $i > $o ) > ( $i > $i > $o ) > $i ).

thf(func_def_50,type,
    sK6: ( $i > $i > $o ) > $i ).

thf(func_def_51,type,
    sK7: ( $i > $i > $o ) > $i ).

thf(func_def_52,type,
    sK8: $i > ( $i > $i > $o ) > $i > $i ).

thf(f8,axiom,
    ( rc
    = ( ^ [X0: $i > $i > $o,X1: $i,X2: $i] :
          ( ( X1 = X2 )
          | ( X0 @ X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',reflexive_closure) ).

thf(f12,axiom,
    ( ( ^ [X0: $i > $i > $o,X1: $i,X2: $i] :
          ( ( X0 @ X1 @ X2 )
          | ( X0 @ X2 @ X1 ) ) )
    = sc ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',symmetric_closure) ).

thf(f15,axiom,
    ( ( ^ [X0: $i > $i > $o] : ( rc @ ( tc @ X0 ) ) )
    = trc ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',transitive_reflexive_closure) ).

thf(f16,axiom,
    ( trsc
    = ( ^ [X0: $i > $i > $o] : ( sc @ ( rc @ ( tc @ X0 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',transitive_reflexive_symmetric_closure) ).

thf(f25,axiom,
    ( join
    = ( ^ [X0: $i > $i > $o,X1: $i,X2: $i] :
        ? [X3: $i] :
          ( ( trc @ X0 @ X2 @ X3 )
          & ( trc @ X0 @ X1 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',joinable) ).

thf(f29,axiom,
    ( cr
    = ( ^ [X0: $i > $i > $o] :
        ! [X1: $i,X2: $i] :
          ( ( trsc @ X0 @ X1 @ X2 )
         => ( join @ X0 @ X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET009^0.ax',church_rosser) ).

thf(f30,conjecture,
    ! [X0: $i > $i > $o] :
      ( ( sconfl @ X0 )
     => ( cr @ X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',semi_confluence_implies_church_rosser) ).

thf(f31,negated_conjecture,
    ~ ! [X0: $i > $i > $o] :
        ( ( sconfl @ X0 )
       => ( cr @ X0 ) ),
    inference(negated_conjecture,[status(cth)],[f30]) ).

thf(f41,plain,
    ( join
    = ( ^ [X0: $i > $i > $o,X1: $i,X2: $i] :
        ? [X3: $i] :
          ( ( trc @ X0 @ X2 @ X3 )
          & ( trc @ X0 @ X1 @ X3 ) ) ) ),
    inference(rectify,[],[f25]) ).

thf(f42,plain,
    ( join
    = ( ^ [Y0: $i > $i > $o,Y1: $i,Y2: $i] :
          ( ?? @ $i
          @ ^ [Y3: $i] :
              ( ( trc @ Y0 @ Y1 @ Y3 )
              & ( trc @ Y0 @ Y2 @ Y3 ) ) ) ) ),
    inference(fool_elimination,[],[f41]) ).

thf(f49,plain,
    ~ ! [X0: $i > $i > $o] :
        ( ( sconfl @ X0 )
       => ( cr @ X0 ) ),
    inference(rectify,[],[f31]) ).

thf(f50,plain,
    ~ ! [X0: $i > $i > $o] :
        ( ( ( sconfl @ X0 )
          = $true )
       => ( ( cr @ X0 )
          = $true ) ),
    inference(fool_elimination,[],[f49]) ).

thf(f60,plain,
    ( trc
    = ( ^ [Y0: $i > $i > $o] : ( rc @ ( tc @ Y0 ) ) ) ),
    inference(fool_elimination,[],[f15]) ).

thf(f63,plain,
    ( trsc
    = ( ^ [Y0: $i > $i > $o] : ( sc @ ( rc @ ( tc @ Y0 ) ) ) ) ),
    inference(fool_elimination,[],[f16]) ).

thf(f74,plain,
    ( cr
    = ( ^ [X0: $i > $i > $o] :
        ! [X1: $i,X2: $i] :
          ( ( trsc @ X0 @ X1 @ X2 )
         => ( join @ X0 @ X1 @ X2 ) ) ) ),
    inference(rectify,[],[f29]) ).

thf(f75,plain,
    ( cr
    = ( ^ [Y0: $i > $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( trsc @ Y0 @ Y2 @ Y1 )
                 => ( join @ Y0 @ Y2 @ Y1 ) ) ) ) ) ),
    inference(fool_elimination,[],[f74]) ).

thf(f76,plain,
    ( ( ^ [X0: $i > $i > $o,X1: $i,X2: $i] :
          ( ( X0 @ X1 @ X2 )
          | ( X0 @ X2 @ X1 ) ) )
    = sc ),
    inference(rectify,[],[f12]) ).

thf(f77,plain,
    ( sc
    = ( ^ [Y0: $i > $i > $o,Y1: $i,Y2: $i] :
          ( ( Y0 @ Y2 @ Y1 )
          | ( Y0 @ Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f76]) ).

thf(f82,plain,
    ( rc
    = ( ^ [X0: $i > $i > $o,X1: $i,X2: $i] :
          ( ( X1 = X2 )
          | ( X0 @ X1 @ X2 ) ) ) ),
    inference(rectify,[],[f8]) ).

thf(f83,plain,
    ( rc
    = ( ^ [Y0: $i > $i > $o,Y1: $i,Y2: $i] :
          ( ( Y0 @ Y1 @ Y2 )
          | ( Y1 = Y2 ) ) ) ),
    inference(fool_elimination,[],[f82]) ).

thf(f88,plain,
    ? [X0: $i > $i > $o] :
      ( ( ( cr @ X0 )
       != $true )
      & ( ( sconfl @ X0 )
        = $true ) ),
    inference(ennf_transformation,[],[f50]) ).

thf(f89,plain,
    ( ( ( cr @ sK0 )
     != $true )
    & ( $true
      = ( sconfl @ sK0 ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f88]) ).

thf(f96,plain,
    ( trc
    = ( ^ [Y0: $i > $i > $o] : ( rc @ ( tc @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f60]) ).

thf(f98,plain,
    ( trsc
    = ( ^ [Y0: $i > $i > $o] : ( sc @ ( rc @ ( tc @ Y0 ) ) ) ) ),
    inference(cnf_transformation,[],[f63]) ).

thf(f105,plain,
    ( sc
    = ( ^ [Y0: $i > $i > $o,Y1: $i,Y2: $i] :
          ( ( Y0 @ Y2 @ Y1 )
          | ( Y0 @ Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f77]) ).

thf(f109,plain,
    ( ( cr @ sK0 )
   != $true ),
    inference(cnf_transformation,[],[f89]) ).

thf(f114,plain,
    ( rc
    = ( ^ [Y0: $i > $i > $o,Y1: $i,Y2: $i] :
          ( ( Y0 @ Y1 @ Y2 )
          | ( Y1 = Y2 ) ) ) ),
    inference(cnf_transformation,[],[f83]) ).

thf(f117,plain,
    ( cr
    = ( ^ [Y0: $i > $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( !! @ $i
              @ ^ [Y2: $i] :
                  ( ( trsc @ Y0 @ Y2 @ Y1 )
                 => ( join @ Y0 @ Y2 @ Y1 ) ) ) ) ) ),
    inference(cnf_transformation,[],[f75]) ).

thf(f120,plain,
    ( join
    = ( ^ [Y0: $i > $i > $o,Y1: $i,Y2: $i] :
          ( ?? @ $i
          @ ^ [Y3: $i] :
              ( ( trc @ Y0 @ Y1 @ Y3 )
              & ( trc @ Y0 @ Y2 @ Y3 ) ) ) ) ),
    inference(cnf_transformation,[],[f42]) ).

thf(f123,definition,
    ( sF1
    = ( cr @ sK0 ) ),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

thf(f124,plain,
    ( ( cr @ sK0 )
    = sF1 ),
    inference(reorient_equations,[],[f123]) ).

thf(f125,plain,
    $true != sF1,
    inference(definition_folding,[],[f109,f124]) ).

thf(f131,plain,
    ( ( $true = sF1 )
    | ( $false
      = ( cr @ sK0 ) ) ),
    inference(iff_proxy_clausification,[],[f124]) ).

thf(f151,definition,
    ( spl3_5
  <=> ( $false
      = ( cr @ sK0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).

thf(f153,plain,
    ( ( $false
      = ( cr @ sK0 ) )
    | ~ spl3_5 ),
    inference(avatar_component_clause,[],[f151]) ).

thf(f155,definition,
    ( spl3_6
  <=> ( $true = sF1 ) ),
    introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).

thf(f158,plain,
    ( spl3_5
    | spl3_6 ),
    inference(avatar_split_clause,[],[f131,f155,f151]) ).

thf(f169,plain,
    ~ spl3_6,
    inference(avatar_split_clause,[],[f125,f155]) ).

thf(f170,plain,
    ! [X1: $i > $i > $o] :
      ( ( ^ [Y0: $i > $i > $o] : ( rc @ ( tc @ Y0 ) )
        @ X1 )
      = ( trc @ X1 ) ),
    inference(argument_congruence,[],[f96]) ).

thf(f171,plain,
    ! [X1: $i > $i > $o] :
      ( ( rc @ ( tc @ X1 ) )
      = ( trc @ X1 ) ),
    inference(beta-eta_normalization,[],[f170]) ).

thf(f173,plain,
    ! [X2: $i,X1: $i > $i > $o] :
      ( ( rc @ ( tc @ X1 ) @ X2 )
      = ( trc @ X1 @ X2 ) ),
    inference(argument_congruence,[],[f171]) ).

thf(f174,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( trc @ X1 @ X2 @ X3 )
      = ( rc @ ( tc @ X1 ) @ X2 @ X3 ) ),
    inference(argument_congruence,[],[f173]) ).

thf(f175,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( $false
        = ( rc @ ( tc @ X1 ) @ X2 @ X3 ) )
      | ( ( trc @ X1 @ X2 @ X3 )
        = $true ) ),
    inference(iff_proxy_clausification,[],[f174]) ).

thf(f179,plain,
    ! [X1: $i > $i > $o] :
      ( ( ^ [Y0: $i > $i > $o] : ( sc @ ( rc @ ( tc @ Y0 ) ) )
        @ X1 )
      = ( trsc @ X1 ) ),
    inference(argument_congruence,[],[f98]) ).

thf(f180,plain,
    ! [X1: $i > $i > $o] :
      ( ( sc @ ( rc @ ( tc @ X1 ) ) )
      = ( trsc @ X1 ) ),
    inference(beta-eta_normalization,[],[f179]) ).

thf(f181,plain,
    ! [X1: $i > $i > $o] :
      ( ( trsc @ X1 )
      = ( sc @ ( trc @ X1 ) ) ),
    inference(forward_demodulation,[],[f180,f171]) ).

thf(f182,plain,
    ! [X2: $i,X1: $i > $i > $o] :
      ( ( sc @ ( trc @ X1 ) @ X2 )
      = ( trsc @ X1 @ X2 ) ),
    inference(argument_congruence,[],[f181]) ).

thf(f183,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( trsc @ X1 @ X2 @ X3 )
      = ( sc @ ( trc @ X1 ) @ X2 @ X3 ) ),
    inference(argument_congruence,[],[f182]) ).

thf(f185,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( $true
        = ( sc @ ( trc @ X1 ) @ X2 @ X3 ) )
      | ( $false
        = ( trsc @ X1 @ X2 @ X3 ) ) ),
    inference(iff_proxy_clausification,[],[f183]) ).

thf(f188,plain,
    ! [X1: $i > $i > $o] :
      ( ( ^ [Y0: $i > $i > $o,Y1: $i,Y2: $i] :
            ( ( Y0 @ Y1 @ Y2 )
            | ( Y1 = Y2 ) )
        @ X1 )
      = ( rc @ X1 ) ),
    inference(argument_congruence,[],[f114]) ).

thf(f189,plain,
    ! [X1: $i > $i > $o] :
      ( ( ^ [Y0: $i,Y1: $i] :
            ( ( X1 @ Y0 @ Y1 )
            | ( Y0 = Y1 ) ) )
      = ( rc @ X1 ) ),
    inference(beta-eta_normalization,[],[f188]) ).

thf(f190,plain,
    ! [X2: $i,X1: $i > $i > $o] :
      ( ( rc @ X1 @ X2 )
      = ( ^ [Y0: $i,Y1: $i] :
            ( ( X1 @ Y0 @ Y1 )
            | ( Y0 = Y1 ) )
        @ X2 ) ),
    inference(argument_congruence,[],[f189]) ).

thf(f191,plain,
    ! [X2: $i,X1: $i > $i > $o] :
      ( ( rc @ X1 @ X2 )
      = ( ^ [Y0: $i] :
            ( ( X1 @ X2 @ Y0 )
            | ( X2 = Y0 ) ) ) ),
    inference(beta-eta_normalization,[],[f190]) ).

thf(f192,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( ^ [Y0: $i] :
            ( ( X1 @ X2 @ Y0 )
            | ( X2 = Y0 ) )
        @ X3 )
      = ( rc @ X1 @ X2 @ X3 ) ),
    inference(argument_congruence,[],[f191]) ).

thf(f194,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( ( rc @ X1 @ X2 @ X3 )
        = $true )
      | ( $false
        = ( ^ [Y0: $i] :
              ( ( X1 @ X2 @ Y0 )
              | ( X2 = Y0 ) )
          @ X3 ) ) ),
    inference(iff_proxy_clausification,[],[f192]) ).

thf(f195,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( $false
        = ( ( X1 @ X2 @ X3 )
          | ( X2 = X3 ) ) )
      | ( ( rc @ X1 @ X2 @ X3 )
        = $true ) ),
    inference(beta-eta_normalization,[],[f194]) ).

thf(f196,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( $false
        = ( X2 = X3 ) )
      | ( ( rc @ X1 @ X2 @ X3 )
        = $true ) ),
    inference(or_proxy_clausification,[],[f195]) ).

thf(f198,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( ( rc @ X1 @ X2 @ X3 )
        = $true )
      | ( X2 != X3 ) ),
    inference(equality_proxy_clausification,[],[f196]) ).

thf(f203,plain,
    ! [X2: $i,X0: $i > $i > $o,X1: $i] :
      ( ( ( trc @ X0 @ X1 @ X2 )
        = $true )
      | ( X1 != X2 )
      | ( $false = $true ) ),
    inference(constrained_superposition,[],[f175,f198]) ).

thf(f204,plain,
    ! [X2: $i,X0: $i > $i > $o,X1: $i] :
      ( ( ( trc @ X0 @ X1 @ X2 )
        = $true )
      | ( X1 != X2 ) ),
    inference(trivial_inequality_removal,[],[f203]) ).

thf(f220,plain,
    ! [X1: $i > $i > $o] :
      ( ( ^ [Y0: $i > $i > $o,Y1: $i,Y2: $i] :
            ( ( Y0 @ Y2 @ Y1 )
            | ( Y0 @ Y1 @ Y2 ) )
        @ X1 )
      = ( sc @ X1 ) ),
    inference(argument_congruence,[],[f105]) ).

thf(f221,plain,
    ! [X1: $i > $i > $o] :
      ( ( ^ [Y0: $i,Y1: $i] :
            ( ( X1 @ Y1 @ Y0 )
            | ( X1 @ Y0 @ Y1 ) ) )
      = ( sc @ X1 ) ),
    inference(beta-eta_normalization,[],[f220]) ).

thf(f222,plain,
    ! [X2: $i,X1: $i > $i > $o] :
      ( ( sc @ X1 @ X2 )
      = ( ^ [Y0: $i,Y1: $i] :
            ( ( X1 @ Y1 @ Y0 )
            | ( X1 @ Y0 @ Y1 ) )
        @ X2 ) ),
    inference(argument_congruence,[],[f221]) ).

thf(f223,plain,
    ! [X2: $i,X1: $i > $i > $o] :
      ( ( ^ [Y0: $i] :
            ( ( X1 @ Y0 @ X2 )
            | ( X1 @ X2 @ Y0 ) ) )
      = ( sc @ X1 @ X2 ) ),
    inference(beta-eta_normalization,[],[f222]) ).

thf(f224,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( ^ [Y0: $i] :
            ( ( X1 @ Y0 @ X2 )
            | ( X1 @ X2 @ Y0 ) )
        @ X3 )
      = ( sc @ X1 @ X2 @ X3 ) ),
    inference(argument_congruence,[],[f223]) ).

thf(f225,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( ( ^ [Y0: $i] :
              ( ( X1 @ Y0 @ X2 )
              | ( X1 @ X2 @ Y0 ) )
          @ X3 )
        = $true )
      | ( $false
        = ( sc @ X1 @ X2 @ X3 ) ) ),
    inference(iff_proxy_clausification,[],[f224]) ).

thf(f230,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( $true
        = ( ( X1 @ X3 @ X2 )
          | ( X1 @ X2 @ X3 ) ) )
      | ( $false
        = ( sc @ X1 @ X2 @ X3 ) ) ),
    inference(beta-eta_normalization,[],[f225]) ).

thf(f231,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( $false
        = ( sc @ X1 @ X2 @ X3 ) )
      | ( ( X1 @ X2 @ X3 )
        = $true )
      | ( ( X1 @ X3 @ X2 )
        = $true ) ),
    inference(or_proxy_clausification,[],[f230]) ).

thf(f240,plain,
    ! [X2: $i,X0: $i > $i > $o,X1: $i] :
      ( ( $false = $true )
      | ( ( trsc @ X0 @ X1 @ X2 )
        = $false )
      | ( ( trc @ X0 @ X2 @ X1 )
        = $true )
      | ( ( trc @ X0 @ X1 @ X2 )
        = $true ) ),
    inference(constrained_superposition,[],[f231,f185]) ).

thf(f246,plain,
    ! [X2: $i,X0: $i > $i > $o,X1: $i] :
      ( ( ( trsc @ X0 @ X1 @ X2 )
        = $false )
      | ( ( trc @ X0 @ X2 @ X1 )
        = $true )
      | ( ( trc @ X0 @ X1 @ X2 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f240]) ).

thf(f270,plain,
    ! [X1: $i > $i > $o] :
      ( ( ^ [Y0: $i > $i > $o] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( !! @ $i
                @ ^ [Y2: $i] :
                    ( ( trsc @ Y0 @ Y2 @ Y1 )
                   => ( join @ Y0 @ Y2 @ Y1 ) ) ) )
        @ X1 )
      = ( cr @ X1 ) ),
    inference(argument_congruence,[],[f117]) ).

thf(f272,plain,
    ! [X1: $i > $i > $o] :
      ( ( $true
        = ( cr @ X1 ) )
      | ( $false
        = ( ^ [Y0: $i > $i > $o] :
              ( !! @ $i
              @ ^ [Y1: $i] :
                  ( !! @ $i
                  @ ^ [Y2: $i] :
                      ( ( trsc @ Y0 @ Y2 @ Y1 )
                     => ( join @ Y0 @ Y2 @ Y1 ) ) ) )
          @ X1 ) ) ),
    inference(iff_proxy_clausification,[],[f270]) ).

thf(f273,plain,
    ! [X1: $i > $i > $o] :
      ( ( $true
        = ( cr @ X1 ) )
      | ( $false
        = ( !! @ $i
          @ ^ [Y0: $i] :
              ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( trsc @ X1 @ Y1 @ Y0 )
                 => ( join @ X1 @ Y1 @ Y0 ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f272]) ).

thf(f274,plain,
    ! [X1: $i > $i > $o] :
      ( ( $true
        = ( cr @ X1 ) )
      | ( $false
        = ( ^ [Y0: $i] :
              ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( trsc @ X1 @ Y1 @ Y0 )
                 => ( join @ X1 @ Y1 @ Y0 ) ) )
          @ ( sK6 @ X1 ) ) ) ),
    inference(sigma_proxy_clausification,[],[f273]) ).

thf(f275,plain,
    ! [X1: $i > $i > $o] :
      ( ( $false
        = ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( trsc @ X1 @ Y0 @ ( sK6 @ X1 ) )
             => ( join @ X1 @ Y0 @ ( sK6 @ X1 ) ) ) ) )
      | ( $true
        = ( cr @ X1 ) ) ),
    inference(beta-eta_normalization,[],[f274]) ).

thf(f276,plain,
    ! [X1: $i > $i > $o] :
      ( ( $true
        = ( cr @ X1 ) )
      | ( $false
        = ( ^ [Y0: $i] :
              ( ( trsc @ X1 @ Y0 @ ( sK6 @ X1 ) )
             => ( join @ X1 @ Y0 @ ( sK6 @ X1 ) ) )
          @ ( sK7 @ X1 ) ) ) ),
    inference(sigma_proxy_clausification,[],[f275]) ).

thf(f277,plain,
    ! [X1: $i > $i > $o] :
      ( ( $true
        = ( cr @ X1 ) )
      | ( $false
        = ( ( trsc @ X1 @ ( sK7 @ X1 ) @ ( sK6 @ X1 ) )
         => ( join @ X1 @ ( sK7 @ X1 ) @ ( sK6 @ X1 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f276]) ).

thf(f278,plain,
    ! [X1: $i > $i > $o] :
      ( ( $false
        = ( join @ X1 @ ( sK7 @ X1 ) @ ( sK6 @ X1 ) ) )
      | ( $true
        = ( cr @ X1 ) ) ),
    inference(imp_proxy_clausification,[],[f277]) ).

thf(f279,plain,
    ! [X1: $i > $i > $o] :
      ( ( $true
        = ( trsc @ X1 @ ( sK7 @ X1 ) @ ( sK6 @ X1 ) ) )
      | ( $true
        = ( cr @ X1 ) ) ),
    inference(imp_proxy_clausification,[],[f277]) ).

thf(f287,plain,
    ! [X0: $i > $i > $o] :
      ( ( $false = $true )
      | ( $true
        = ( trc @ X0 @ ( sK7 @ X0 ) @ ( sK6 @ X0 ) ) )
      | ( ( trc @ X0 @ ( sK6 @ X0 ) @ ( sK7 @ X0 ) )
        = $true )
      | ( ( cr @ X0 )
        = $true ) ),
    inference(constrained_superposition,[],[f246,f279]) ).

thf(f288,plain,
    ! [X0: $i > $i > $o] :
      ( ( $true
        = ( trc @ X0 @ ( sK7 @ X0 ) @ ( sK6 @ X0 ) ) )
      | ( ( cr @ X0 )
        = $true )
      | ( ( trc @ X0 @ ( sK6 @ X0 ) @ ( sK7 @ X0 ) )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f287]) ).

thf(f385,plain,
    ! [X1: $i > $i > $o] :
      ( ( join @ X1 )
      = ( ^ [Y0: $i > $i > $o,Y1: $i,Y2: $i] :
            ( ?? @ $i
            @ ^ [Y3: $i] :
                ( ( trc @ Y0 @ Y1 @ Y3 )
                & ( trc @ Y0 @ Y2 @ Y3 ) ) )
        @ X1 ) ),
    inference(argument_congruence,[],[f120]) ).

thf(f386,plain,
    ! [X1: $i > $i > $o] :
      ( ( join @ X1 )
      = ( ^ [Y0: $i,Y1: $i] :
            ( ?? @ $i
            @ ^ [Y2: $i] :
                ( ( trc @ X1 @ Y0 @ Y2 )
                & ( trc @ X1 @ Y1 @ Y2 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f385]) ).

thf(f387,plain,
    ! [X2: $i,X1: $i > $i > $o] :
      ( ( ^ [Y0: $i,Y1: $i] :
            ( ?? @ $i
            @ ^ [Y2: $i] :
                ( ( trc @ X1 @ Y0 @ Y2 )
                & ( trc @ X1 @ Y1 @ Y2 ) ) )
        @ X2 )
      = ( join @ X1 @ X2 ) ),
    inference(argument_congruence,[],[f386]) ).

thf(f388,plain,
    ! [X2: $i,X1: $i > $i > $o] :
      ( ( ^ [Y0: $i] :
            ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ( trc @ X1 @ X2 @ Y1 )
                & ( trc @ X1 @ Y0 @ Y1 ) ) ) )
      = ( join @ X1 @ X2 ) ),
    inference(beta-eta_normalization,[],[f387]) ).

thf(f389,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( join @ X1 @ X2 @ X3 )
      = ( ^ [Y0: $i] :
            ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ( trc @ X1 @ X2 @ Y1 )
                & ( trc @ X1 @ Y0 @ Y1 ) ) )
        @ X3 ) ),
    inference(argument_congruence,[],[f388]) ).

thf(f390,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( ( join @ X1 @ X2 @ X3 )
        = $true )
      | ( $false
        = ( ^ [Y0: $i] :
              ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( trc @ X1 @ X2 @ Y1 )
                  & ( trc @ X1 @ Y0 @ Y1 ) ) )
          @ X3 ) ) ),
    inference(iff_proxy_clausification,[],[f389]) ).

thf(f391,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( ( join @ X1 @ X2 @ X3 )
        = $false )
      | ( $true
        = ( ^ [Y0: $i] :
              ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( trc @ X1 @ X2 @ Y1 )
                  & ( trc @ X1 @ Y0 @ Y1 ) ) )
          @ X3 ) ) ),
    inference(iff_proxy_clausification,[],[f389]) ).

thf(f392,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( ( join @ X1 @ X2 @ X3 )
        = $false )
      | ( $true
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( trc @ X1 @ X2 @ Y0 )
              & ( trc @ X1 @ X3 @ Y0 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f391]) ).

thf(f393,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( ( ^ [Y0: $i] :
              ( ( trc @ X1 @ X2 @ Y0 )
              & ( trc @ X1 @ X3 @ Y0 ) )
          @ ( sK8 @ X3 @ X1 @ X2 ) )
        = $true )
      | ( ( join @ X1 @ X2 @ X3 )
        = $false ) ),
    inference(sigma_proxy_clausification,[],[f392]) ).

thf(f394,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( ( ( trc @ X1 @ X2 @ ( sK8 @ X3 @ X1 @ X2 ) )
          & ( trc @ X1 @ X3 @ ( sK8 @ X3 @ X1 @ X2 ) ) )
        = $true )
      | ( ( join @ X1 @ X2 @ X3 )
        = $false ) ),
    inference(beta-eta_normalization,[],[f393]) ).

thf(f395,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( ( trc @ X1 @ X3 @ ( sK8 @ X3 @ X1 @ X2 ) )
        = $true )
      | ( ( join @ X1 @ X2 @ X3 )
        = $false ) ),
    inference(and_proxy_clausification,[],[f394]) ).

thf(f396,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( $true
        = ( trc @ X1 @ X2 @ ( sK8 @ X3 @ X1 @ X2 ) ) )
      | ( ( join @ X1 @ X2 @ X3 )
        = $false ) ),
    inference(and_proxy_clausification,[],[f394]) ).

thf(f397,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o] :
      ( ( $false
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( trc @ X1 @ X2 @ Y0 )
              & ( trc @ X1 @ X3 @ Y0 ) ) ) )
      | ( ( join @ X1 @ X2 @ X3 )
        = $true ) ),
    inference(beta-eta_normalization,[],[f390]) ).

thf(f398,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o,X4: $i] :
      ( ( $false
        = ( ^ [Y0: $i] :
              ( ( trc @ X1 @ X2 @ Y0 )
              & ( trc @ X1 @ X3 @ Y0 ) )
          @ X4 ) )
      | ( ( join @ X1 @ X2 @ X3 )
        = $true ) ),
    inference(pi_proxy_clausification,[],[f397]) ).

thf(f399,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o,X4: $i] :
      ( ( ( join @ X1 @ X2 @ X3 )
        = $true )
      | ( $false
        = ( ( trc @ X1 @ X2 @ X4 )
          & ( trc @ X1 @ X3 @ X4 ) ) ) ),
    inference(beta-eta_normalization,[],[f398]) ).

thf(f400,plain,
    ! [X2: $i,X3: $i,X1: $i > $i > $o,X4: $i] :
      ( ( $false
        = ( trc @ X1 @ X2 @ X4 ) )
      | ( ( trc @ X1 @ X3 @ X4 )
        = $false )
      | ( ( join @ X1 @ X2 @ X3 )
        = $true ) ),
    inference(and_proxy_clausification,[],[f399]) ).

thf(f404,plain,
    ! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i] :
      ( ( ( join @ X0 @ X1 @ X3 )
        = $true )
      | ( X1 != X2 )
      | ( ( trc @ X0 @ X3 @ X2 )
        = $false )
      | ( $false = $true ) ),
    inference(constrained_superposition,[],[f204,f400]) ).

thf(f410,plain,
    ! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i] :
      ( ( ( join @ X0 @ X1 @ X3 )
        = $true )
      | ( ( trc @ X0 @ X3 @ X2 )
        = $false )
      | ( X1 != X2 ) ),
    inference(trivial_inequality_removal,[],[f404]) ).

thf(f415,plain,
    ! [X0: $i > $i > $o,X1: $i] :
      ( ( $false = $true )
      | ( $false
        = ( trc @ X0 @ ( sK6 @ X0 ) @ X1 ) )
      | ( ( sK7 @ X0 )
       != X1 )
      | ( ( cr @ X0 )
        = $true ) ),
    inference(constrained_superposition,[],[f410,f278]) ).

thf(f420,plain,
    ! [X0: $i > $i > $o,X1: $i] :
      ( ( ( sK7 @ X0 )
       != X1 )
      | ( $false
        = ( trc @ X0 @ ( sK6 @ X0 ) @ X1 ) )
      | ( ( cr @ X0 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f415]) ).

thf(f424,plain,
    ! [X0: $i > $i > $o] :
      ( ( $false
        = ( trc @ X0 @ ( sK6 @ X0 ) @ ( sK7 @ X0 ) ) )
      | ( ( cr @ X0 )
        = $true ) ),
    inference(equality_resolution,[],[f420]) ).

thf(f429,plain,
    ! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i] :
      ( ( $false = $true )
      | ( $false
        = ( join @ X0 @ X2 @ X1 ) )
      | ( ( trc @ X0 @ X3 @ ( sK8 @ X1 @ X0 @ X2 ) )
        = $false )
      | ( ( join @ X0 @ X1 @ X3 )
        = $true ) ),
    inference(constrained_superposition,[],[f395,f400]) ).

thf(f431,plain,
    ! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i] :
      ( ( ( trc @ X0 @ X3 @ ( sK8 @ X1 @ X0 @ X2 ) )
        = $false )
      | ( $false
        = ( join @ X0 @ X2 @ X1 ) )
      | ( ( join @ X0 @ X1 @ X3 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f429]) ).

thf(f438,plain,
    ! [X2: $i,X0: $i > $i > $o,X1: $i] :
      ( ( ( join @ X0 @ X2 @ X1 )
        = $true )
      | ( ( join @ X0 @ X1 @ X2 )
        = $false )
      | ( $false = $true )
      | ( ( join @ X0 @ X1 @ X2 )
        = $false ) ),
    inference(constrained_superposition,[],[f431,f396]) ).

thf(f445,plain,
    ! [X2: $i,X0: $i > $i > $o,X1: $i] :
      ( ( $false = $true )
      | ( ( join @ X0 @ X1 @ X2 )
        = $false )
      | ( ( join @ X0 @ X2 @ X1 )
        = $true ) ),
    inference(duplicate_literal_removal,[],[f438]) ).

thf(f446,plain,
    ! [X2: $i,X0: $i > $i > $o,X1: $i] :
      ( ( ( join @ X0 @ X2 @ X1 )
        = $true )
      | ( ( join @ X0 @ X1 @ X2 )
        = $false ) ),
    inference(trivial_inequality_removal,[],[f445]) ).

thf(f454,plain,
    ! [X0: $i > $i > $o] :
      ( ( $false = $true )
      | ( ( cr @ X0 )
        = $true )
      | ( ( join @ X0 @ ( sK6 @ X0 ) @ ( sK7 @ X0 ) )
        = $false ) ),
    inference(constrained_superposition,[],[f446,f278]) ).

thf(f460,plain,
    ! [X0: $i > $i > $o] :
      ( ( ( join @ X0 @ ( sK6 @ X0 ) @ ( sK7 @ X0 ) )
        = $false )
      | ( ( cr @ X0 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f454]) ).

thf(f464,plain,
    ! [X0: $i > $i > $o,X1: $i] :
      ( ( $false
        = ( trc @ X0 @ ( sK7 @ X0 ) @ X1 ) )
      | ( ( sK6 @ X0 )
       != X1 )
      | ( $false = $true )
      | ( ( cr @ X0 )
        = $true ) ),
    inference(constrained_superposition,[],[f460,f410]) ).

thf(f469,plain,
    ! [X0: $i > $i > $o,X1: $i] :
      ( ( ( sK6 @ X0 )
       != X1 )
      | ( ( cr @ X0 )
        = $true )
      | ( $false
        = ( trc @ X0 @ ( sK7 @ X0 ) @ X1 ) ) ),
    inference(trivial_inequality_removal,[],[f464]) ).

thf(f474,plain,
    ! [X0: $i > $i > $o] :
      ( ( $false
        = ( trc @ X0 @ ( sK7 @ X0 ) @ ( sK6 @ X0 ) ) )
      | ( ( cr @ X0 )
        = $true ) ),
    inference(equality_resolution,[],[f469]) ).

thf(f477,plain,
    ! [X0: $i > $i > $o] :
      ( ( ( trc @ X0 @ ( sK6 @ X0 ) @ ( sK7 @ X0 ) )
        = $true )
      | ( ( cr @ X0 )
        = $true )
      | ( ( cr @ X0 )
        = $true )
      | ( $false = $true ) ),
    inference(constrained_superposition,[],[f288,f474]) ).

thf(f480,plain,
    ! [X0: $i > $i > $o] :
      ( ( ( cr @ X0 )
        = $true )
      | ( ( trc @ X0 @ ( sK6 @ X0 ) @ ( sK7 @ X0 ) )
        = $true )
      | ( $false = $true ) ),
    inference(duplicate_literal_removal,[],[f477]) ).

thf(f481,plain,
    ! [X0: $i > $i > $o] :
      ( ( ( trc @ X0 @ ( sK6 @ X0 ) @ ( sK7 @ X0 ) )
        = $true )
      | ( ( cr @ X0 )
        = $true ) ),
    inference(trivial_inequality_removal,[],[f480]) ).

thf(f485,plain,
    ! [X0: $i > $i > $o] :
      ( ( ( cr @ X0 )
        = $true )
      | ( $false = $true )
      | ( ( cr @ X0 )
        = $true ) ),
    inference(constrained_superposition,[],[f481,f424]) ).

thf(f489,plain,
    ! [X0: $i > $i > $o] :
      ( ( ( cr @ X0 )
        = $true )
      | ( $false = $true ) ),
    inference(duplicate_literal_removal,[],[f485]) ).

thf(f490,plain,
    ! [X0: $i > $i > $o] :
      ( ( cr @ X0 )
      = $true ),
    inference(trivial_inequality_removal,[],[f489]) ).

thf(f496,plain,
    ( ( $false = $true )
    | ~ spl3_5 ),
    inference(backward_demodulation,[],[f153,f490]) ).

thf(f497,plain,
    ( $false
    | ~ spl3_5 ),
    inference(trivial_inequality_removal,[],[f496]) ).

thf(f498,plain,
    ~ spl3_5,
    inference(avatar_contradiction_clause,[],[f497]) ).

cnf(s3,plain,
    ( spl3_5
    | spl3_6 ),
    inference(sat_conversion,[],[f158]) ).

cnf(s6,plain,
    ~ spl3_6,
    inference(sat_conversion,[],[f169]) ).

cnf(s7,plain,
    ~ spl3_5,
    inference(sat_conversion,[],[f498]) ).

cnf(s8,plain,
    $false,
    inference(rat,[],[s3,s6,s7]) ).

thf(f500,plain,
    $false,
    inference(avatar_sat_refutation,[],[s8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU490^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  % Computer : n003.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Tue Sep 29 13:46:29 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24  Running higher-order theorem proving
% 0.08/0.25  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
% 0.63/0.38  % (2520822)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.38  % (2520833)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.38  % (2520833)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
% 0.63/0.38  % (2520831)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3738483376:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.38  % (2520832)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3182191380:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.38  % (2520827)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2649752915:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.38  % (2520829)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=889406031:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.38  % (2520828)lrs+10_16_si=on:nwc=1.5:random_seed=3502077570:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.38  % (2520830)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=2704537551: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)
% 0.63/0.38  % (2520833)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=3226626201:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.38  % (2520829)Instruction limit reached! 
% 0.63/0.38  % (2520829)------------------------------
% 0.63/0.38  % (2520829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38  % (2520829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38  % (2520829)CaDiCaL version: 2.1.3
% 0.63/0.38  % (2520829)Termination reason: Instruction limit
% 0.63/0.38  % (2520829)Termination phase: Property scanning
% 0.63/0.38  % (2520829)Time elapsed: 0.002 s
% 0.63/0.38  % (2520829)Peak memory usage: 10 MB
% 0.63/0.38  % (2520829)Instructions burned: 4 (million)
% 0.63/0.38  % (2520828)Instruction limit reached! 
% 0.63/0.38  % (2520828)------------------------------
% 0.63/0.38  % (2520828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38  % (2520828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38  % (2520828)CaDiCaL version: 2.1.3
% 0.63/0.38  % (2520828)Termination reason: Instruction limit
% 0.63/0.38  % (2520828)Termination phase: Saturation
% 0.63/0.38  % (2520828)Time elapsed: 0.008 s
% 0.63/0.38  % (2520828)Peak memory usage: 11 MB
% 0.63/0.38  % (2520828)Instructions burned: 18 (million)
% 0.63/0.38  % (2520831)Instruction limit reached! 
% 0.63/0.38  % (2520831)------------------------------
% 0.63/0.38  % (2520831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38  % (2520831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38  % (2520831)CaDiCaL version: 2.1.3
% 0.63/0.38  % (2520831)Termination reason: Instruction limit
% 0.63/0.38  % (2520831)Termination phase: Saturation
% 0.63/0.38  % (2520831)Time elapsed: 0.014 s
% 0.63/0.38  % (2520831)Peak memory usage: 12 MB
% 0.63/0.38  % (2520831)Instructions burned: 25 (million)
% 0.63/0.38  % (2520841)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2516261585:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.38  % (2520841)Instruction limit reached! 
% 0.63/0.38  % (2520841)------------------------------
% 0.63/0.38  % (2520841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38  % (2520841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38  % (2520841)CaDiCaL version: 2.1.3
% 0.63/0.38  % (2520841)Termination reason: Instruction limit
% 0.63/0.38  % (2520841)Termination phase: Property scanning
% 0.63/0.38  % (2520841)Time elapsed: 0.002 s
% 0.63/0.38  % (2520841)Peak memory usage: 10 MB
% 0.63/0.38  % (2520841)Instructions burned: 3 (million)
% 0.63/0.38  % (2520842)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2241865758:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.42  % (2520843)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.42  % (2520843)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=88865348:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.42  % (2520842)Instruction limit reached! 
% 0.63/0.42  % (2520842)------------------------------
% 0.63/0.42  % (2520842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42  % (2520842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42  % (2520842)CaDiCaL version: 2.1.3
% 0.63/0.42  % (2520842)Termination reason: Instruction limit
% 0.63/0.42  % (2520842)Termination phase: Function definition elimination
% 0.63/0.42  % (2520842)Time elapsed: 0.006 s
% 0.63/0.42  % (2520842)Peak memory usage: 10 MB
% 0.63/0.42  % (2520842)Instructions burned: 7 (million)
% 0.63/0.42  % (2520832)Instruction limit reached! 
% 0.63/0.42  % (2520832)------------------------------
% 0.63/0.42  % (2520832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42  % (2520832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42  % (2520832)CaDiCaL version: 2.1.3
% 0.63/0.42  % (2520832)Termination reason: Instruction limit
% 0.63/0.42  % (2520832)Termination phase: Saturation
% 0.63/0.42  % (2520832)Time elapsed: 0.035 s
% 0.63/0.42  % (2520832)Peak memory usage: 13 MB
% 0.63/0.42  % (2520832)Instructions burned: 76 (million)
% 0.63/0.42  % (2520843)Instruction limit reached! 
% 0.63/0.42  % (2520843)------------------------------
% 0.63/0.42  % (2520843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42  % (2520843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42  % (2520843)CaDiCaL version: 2.1.3
% 0.63/0.42  % (2520843)Termination reason: Instruction limit
% 0.63/0.42  % (2520843)Termination phase: Saturation
% 0.63/0.42  % (2520843)Time elapsed: 0.006 s
% 0.63/0.42  % (2520843)Peak memory usage: 11 MB
% 0.63/0.42  % (2520843)Instructions burned: 13 (million)
% 0.63/0.42  % (2520827)Instruction limit reached! 
% 0.63/0.42  % (2520827)------------------------------
% 0.63/0.42  % (2520827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42  % (2520827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42  % (2520827)CaDiCaL version: 2.1.3
% 0.63/0.42  % (2520827)Termination reason: Instruction limit
% 0.63/0.42  % (2520827)Termination phase: Saturation
% 0.63/0.42  % (2520827)Time elapsed: 0.040 s
% 0.63/0.42  % (2520827)Peak memory usage: 13 MB
% 0.63/0.42  % (2520827)Instructions burned: 89 (million)
% 0.63/0.42  % (2520845)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3331841784:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.63/0.42  % (2520845)Instruction limit reached! 
% 0.63/0.42  % (2520845)------------------------------
% 0.63/0.42  % (2520845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42  % (2520845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42  % (2520845)CaDiCaL version: 2.1.3
% 0.63/0.42  % (2520845)Termination reason: Instruction limit
% 0.63/0.42  % (2520845)Termination phase: Saturation
% 0.63/0.42  % (2520845)Time elapsed: 0.006 s
% 0.63/0.42  % (2520845)Peak memory usage: 11 MB
% 0.63/0.42  % (2520845)Instructions burned: 12 (million)
% 0.63/0.42  % (2520848)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
% 0.63/0.42  % (2520848)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.42  % (2520848)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3935387452:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.63/0.42  % (2520851)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.63/0.42  % (2520850)lrs+10_1_si=on:cs=on:random_seed=2720564001:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.63/0.42  % (2520851)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=3677120073:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.45  % (2520850)Instruction limit reached! 
% 0.63/0.45  % (2520850)------------------------------
% 0.63/0.45  % (2520850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45  % (2520850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45  % (2520850)CaDiCaL version: 2.1.3
% 0.63/0.45  % (2520850)Termination reason: Instruction limit
% 0.63/0.45  % (2520850)Termination phase: Property scanning
% 0.63/0.45  % (2520850)Time elapsed: 0.004 s
% 0.63/0.45  % (2520850)Peak memory usage: 11 MB
% 0.63/0.45  % (2520850)Instructions burned: 9 (million)
% 0.63/0.45  % (2520851)Instruction limit reached! 
% 0.63/0.45  % (2520851)------------------------------
% 0.63/0.45  % (2520851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45  % (2520851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45  % (2520851)CaDiCaL version: 2.1.3
% 0.63/0.45  % (2520851)Termination reason: Instruction limit
% 0.63/0.45  % (2520851)Termination phase: Property scanning
% 0.63/0.45  % (2520851)Time elapsed: 0.002 s
% 0.63/0.45  % (2520851)Peak memory usage: 10 MB
% 0.63/0.45  % (2520851)Instructions burned: 4 (million)
% 0.63/0.45  % (2520848)Instruction limit reached! 
% 0.63/0.45  % (2520848)------------------------------
% 0.63/0.45  % (2520848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45  % (2520848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45  % (2520848)CaDiCaL version: 2.1.3
% 0.63/0.45  % (2520848)Termination reason: Instruction limit
% 0.63/0.45  % (2520848)Termination phase: Saturation
% 0.63/0.45  % (2520848)Time elapsed: 0.012 s
% 0.63/0.45  % (2520848)Peak memory usage: 12 MB
% 0.63/0.45  % (2520848)Instructions burned: 28 (million)
% 0.63/0.45  % (2520849)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=2040104795:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.63/0.45  % (2520833)Instruction limit reached! 
% 0.63/0.45  % (2520833)------------------------------
% 0.63/0.45  % (2520833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45  % (2520833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45  % (2520833)CaDiCaL version: 2.1.3
% 0.63/0.45  % (2520833)Termination reason: Instruction limit
% 0.63/0.45  % (2520833)Termination phase: Saturation
% 0.63/0.45  % (2520833)Time elapsed: 0.073 s
% 0.63/0.45  % (2520833)Peak memory usage: 14 MB
% 0.63/0.45  % (2520833)Instructions burned: 157 (million)
% 0.63/0.45  % (2520853)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=532837231:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.63/0.45  % (2520858)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2023362135:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.63/0.45  % (2520857)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1905718391:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.63/0.45  % (2520859)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3785538939:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.63/0.45  % (2520857)Refutation not found, incomplete strategy
% 0.63/0.45  % (2520857)------------------------------
% 0.63/0.45  % (2520857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45  % (2520857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45  % (2520857)CaDiCaL version: 2.1.3
% 0.63/0.45  % (2520857)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.45  % (2520857)Time elapsed: 0.004 s
% 0.63/0.45  % (2520857)Peak memory usage: 12 MB
% 0.63/0.45  % (2520857)Instructions burned: 7 (million)
% 0.63/0.45  % (2520853)Refutation not found, incomplete strategy
% 0.63/0.45  % (2520853)------------------------------
% 0.63/0.45  % (2520853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45  % (2520853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45  % (2520853)CaDiCaL version: 2.1.3
% 0.63/0.45  % (2520853)Termination reason: Refutation not found, incomplete strategy
% 1.37/0.51  % (2520853)Time elapsed: 0.010 s
% 1.37/0.51  % (2520853)Peak memory usage: 12 MB
% 1.37/0.51  % (2520853)Instructions burned: 20 (million)
% 1.37/0.51  % (2520857)------------------------------
% 1.37/0.51  % (2520857)------------------------------
% 1.37/0.51  % (2520853)------------------------------
% 1.37/0.51  % (2520853)------------------------------
% 1.37/0.51  % (2520859)Instruction limit reached! 
% 1.37/0.51  % (2520859)------------------------------
% 1.37/0.51  % (2520859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.51  % (2520859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.51  % (2520859)CaDiCaL version: 2.1.3
% 1.37/0.51  % (2520859)Termination reason: Instruction limit
% 1.37/0.51  % (2520859)Termination phase: Saturation
% 1.37/0.51  % (2520859)Time elapsed: 0.006 s
% 1.37/0.51  % (2520859)Peak memory usage: 12 MB
% 1.37/0.51  % (2520859)Instructions burned: 14 (million)
% 1.37/0.51  % (2520861)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1324540761:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.37/0.51  % (2520858)Instruction limit reached! 
% 1.37/0.51  % (2520858)------------------------------
% 1.37/0.51  % (2520858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.51  % (2520858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.51  % (2520858)CaDiCaL version: 2.1.3
% 1.37/0.51  % (2520858)Termination reason: Instruction limit
% 1.37/0.51  % (2520858)Termination phase: Saturation
% 1.37/0.51  % (2520858)Time elapsed: 0.014 s
% 1.37/0.51  % (2520858)Peak memory usage: 12 MB
% 1.37/0.51  % (2520858)Instructions burned: 25 (million)
% 1.37/0.51  % (2520866)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3520838648:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.37/0.51  % (2520867)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3388295510: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)
% 1.37/0.51  % (2520868)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2434408725:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.37/0.51  % (2520849)Instruction limit reached! 
% 1.37/0.51  % (2520849)------------------------------
% 1.37/0.51  % (2520849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.51  % (2520849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.51  % (2520849)CaDiCaL version: 2.1.3
% 1.37/0.51  % (2520849)Termination reason: Instruction limit
% 1.37/0.51  % (2520849)Termination phase: Saturation
% 1.37/0.51  % (2520849)Time elapsed: 0.042 s
% 1.37/0.51  % (2520849)Peak memory usage: 13 MB
% 1.37/0.51  % (2520849)Instructions burned: 88 (million)
% 1.37/0.51  % (2520867)Instruction limit reached! 
% 1.37/0.51  % (2520867)------------------------------
% 1.37/0.51  % (2520867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.51  % (2520867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.51  % (2520867)CaDiCaL version: 2.1.3
% 1.37/0.51  % (2520867)Termination reason: Instruction limit
% 1.37/0.51  % (2520867)Termination phase: SInE selection
% 1.37/0.51  % (2520867)Time elapsed: 0.002 s
% 1.37/0.51  % (2520867)Peak memory usage: 10 MB
% 1.37/0.51  % (2520867)Instructions burned: 5 (million)
% 1.37/0.51  % (2520866)Instruction limit reached! 
% 1.37/0.51  % (2520866)------------------------------
% 1.37/0.51  % (2520866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.51  % (2520866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.51  % (2520866)CaDiCaL version: 2.1.3
% 1.37/0.51  % (2520866)Termination reason: Instruction limit
% 1.37/0.51  % (2520866)Termination phase: Saturation
% 1.37/0.51  % (2520866)Time elapsed: 0.007 s
% 1.37/0.51  % (2520866)Peak memory usage: 12 MB
% 1.37/0.51  % (2520866)Instructions burned: 15 (million)
% 1.37/0.51  % (2520870)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3242694339:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.37/0.51  % (2520868)Instruction limit reached! 
% 1.37/0.51  % (2520868)------------------------------
% 1.37/0.51  % (2520868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.51  % (2520868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.51  % (2520868)CaDiCaL version: 2.1.3
% 1.37/0.55  % (2520868)Termination reason: Instruction limit
% 1.37/0.55  % (2520868)Termination phase: Saturation
% 1.37/0.55  % (2520868)Time elapsed: 0.012 s
% 1.37/0.55  % (2520868)Peak memory usage: 12 MB
% 1.37/0.55  % (2520868)Instructions burned: 26 (million)
% 1.37/0.55  % (2520875)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
% 1.37/0.55  % (2520875)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.37/0.55  % (2520870)Instruction limit reached! 
% 1.37/0.55  % (2520870)------------------------------
% 1.37/0.55  % (2520870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.55  % (2520870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.55  % (2520870)CaDiCaL version: 2.1.3
% 1.37/0.55  % (2520870)Termination reason: Instruction limit
% 1.37/0.55  % (2520870)Termination phase: Saturation
% 1.37/0.55  % (2520870)Time elapsed: 0.011 s
% 1.37/0.55  % (2520870)Peak memory usage: 11 MB
% 1.37/0.55  % (2520870)Instructions burned: 25 (million)
% 1.37/0.55  % (2520875)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=2589327113:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.37/0.55  % (2520874)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4186193431:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.37/0.55  % (2520876)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.37/0.55  % (2520876)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=4134644030:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.37/0.55  % (2520876)Instruction limit reached! 
% 1.37/0.55  % (2520876)------------------------------
% 1.37/0.55  % (2520876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.55  % (2520876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.55  % (2520876)CaDiCaL version: 2.1.3
% 1.37/0.55  % (2520876)Termination reason: Instruction limit
% 1.37/0.55  % (2520876)Termination phase: Function definition elimination
% 1.37/0.55  % (2520876)Time elapsed: 0.004 s
% 1.37/0.55  % (2520876)Peak memory usage: 11 MB
% 1.37/0.55  % (2520876)Instructions burned: 9 (million)
% 1.37/0.55  % (2520875)Instruction limit reached! 
% 1.37/0.55  % (2520875)------------------------------
% 1.37/0.55  % (2520875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.55  % (2520875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.55  % (2520875)CaDiCaL version: 2.1.3
% 1.37/0.55  % (2520875)Termination reason: Instruction limit
% 1.37/0.55  % (2520875)Termination phase: Saturation
% 1.37/0.55  % (2520875)Time elapsed: 0.011 s
% 1.37/0.55  % (2520875)Peak memory usage: 11 MB
% 1.37/0.55  % (2520875)Instructions burned: 15 (million)
% 1.37/0.55  % (2520878)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=721695232:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.37/0.55  % (2520879)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3503712014:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.37/0.55  % (2520879)Instruction limit reached! 
% 1.37/0.55  % (2520879)------------------------------
% 1.37/0.55  % (2520879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.55  % (2520879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.37/0.55  % (2520879)CaDiCaL version: 2.1.3
% 1.37/0.55  % (2520879)Termination reason: Instruction limit
% 1.37/0.55  % (2520879)Termination phase: Function definition elimination
% 1.37/0.55  % (2520879)Time elapsed: 0.004 s
% 1.37/0.55  % (2520879)Peak memory usage: 10 MB
% 1.37/0.55  % (2520879)Instructions burned: 8 (million)
% 1.37/0.55  % (2520878)Instruction limit reached! 
% 1.37/0.55  % (2520878)------------------------------
% 1.37/0.55  % (2520878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.37/0.55  % (2520878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.62  % (2520878)CaDiCaL version: 2.1.3
% 2.13/0.62  % (2520878)Termination reason: Instruction limit
% 2.13/0.62  % (2520878)Termination phase: Saturation
% 2.13/0.62  % (2520878)Time elapsed: 0.015 s
% 2.13/0.62  % (2520878)Peak memory usage: 12 MB
% 2.13/0.62  % (2520878)Instructions burned: 32 (million)
% 2.13/0.62  % (2520874)Instruction limit reached! 
% 2.13/0.62  % (2520874)------------------------------
% 2.13/0.62  % (2520874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.62  % (2520874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.62  % (2520874)CaDiCaL version: 2.1.3
% 2.13/0.62  % (2520874)Termination reason: Instruction limit
% 2.13/0.62  % (2520874)Termination phase: Saturation
% 2.13/0.62  % (2520874)Time elapsed: 0.033 s
% 2.13/0.62  % (2520874)Peak memory usage: 12 MB
% 2.13/0.62  % (2520874)Instructions burned: 60 (million)
% 2.13/0.62  % (2520887)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2377470607:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.13/0.62  % (2520883)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3494474898:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.13/0.62  % (2520888)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=402137831:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.13/0.62  % (2520885)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3954844592:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.13/0.62  % (2520889)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=938381224:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.13/0.62  % (2520889)Refutation not found, incomplete strategy
% 2.13/0.62  % (2520889)------------------------------
% 2.13/0.62  % (2520889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.62  % (2520889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.62  % (2520889)CaDiCaL version: 2.1.3
% 2.13/0.62  % (2520889)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.62  % (2520889)Time elapsed: 0.005 s
% 2.13/0.62  % (2520889)Peak memory usage: 12 MB
% 2.13/0.62  % (2520889)Instructions burned: 9 (million)
% 2.13/0.62  % (2520889)------------------------------
% 2.13/0.62  % (2520889)------------------------------
% 2.13/0.62  % (2520883)Instruction limit reached! 
% 2.13/0.62  % (2520883)------------------------------
% 2.13/0.62  % (2520883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.62  % (2520883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.62  % (2520883)CaDiCaL version: 2.1.3
% 2.13/0.62  % (2520883)Termination reason: Instruction limit
% 2.13/0.62  % (2520883)Termination phase: Saturation
% 2.13/0.62  % (2520883)Time elapsed: 0.018 s
% 2.13/0.62  % (2520883)Peak memory usage: 11 MB
% 2.13/0.62  % (2520883)Instructions burned: 23 (million)
% 2.13/0.62  % (2520885)Instruction limit reached! 
% 2.13/0.62  % (2520885)------------------------------
% 2.13/0.62  % (2520885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.62  % (2520885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.62  % (2520885)CaDiCaL version: 2.1.3
% 2.13/0.62  % (2520885)Termination reason: Instruction limit
% 2.13/0.62  % (2520885)Termination phase: Saturation
% 2.13/0.62  % (2520885)Time elapsed: 0.015 s
% 2.13/0.62  % (2520885)Peak memory usage: 12 MB
% 2.13/0.62  % (2520885)Instructions burned: 20 (million)
% 2.13/0.62  % (2520896)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.13/0.62  % (2520895)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=474479002:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.13/0.62  % (2520896)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3404420661:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.13/0.62  % (2520897)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1107581124:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.13/0.62  % (2520896)Instruction limit reached! 
% 2.13/0.62  % (2520896)------------------------------
% 2.13/0.62  % (2520896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.70  % (2520896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.70  % (2520896)CaDiCaL version: 2.1.3
% 2.55/0.70  % (2520896)Termination reason: Instruction limit
% 2.55/0.70  % (2520896)Termination phase: Property scanning
% 2.55/0.70  % (2520896)Time elapsed: 0.004 s
% 2.55/0.70  % (2520896)Peak memory usage: 10 MB
% 2.55/0.70  % (2520896)Instructions burned: 9 (million)
% 2.55/0.70  % (2520897)Refutation not found, incomplete strategy
% 2.55/0.70  % (2520897)------------------------------
% 2.55/0.70  % (2520897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.70  % (2520897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.70  % (2520897)CaDiCaL version: 2.1.3
% 2.55/0.70  % (2520897)Termination reason: Refutation not found, incomplete strategy
% 2.55/0.70  % (2520897)Time elapsed: 0.005 s
% 2.55/0.70  % (2520897)Peak memory usage: 12 MB
% 2.55/0.70  % (2520897)Instructions burned: 9 (million)
% 2.55/0.70  % (2520897)------------------------------
% 2.55/0.70  % (2520897)------------------------------
% 2.55/0.70  % (2520895)Instruction limit reached! 
% 2.55/0.70  % (2520895)------------------------------
% 2.55/0.70  % (2520895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.70  % (2520895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.70  % (2520895)CaDiCaL version: 2.1.3
% 2.55/0.70  % (2520895)Termination reason: Instruction limit
% 2.55/0.70  % (2520895)Termination phase: Saturation
% 2.55/0.70  % (2520895)Time elapsed: 0.020 s
% 2.55/0.70  % (2520895)Peak memory usage: 12 MB
% 2.55/0.70  % (2520895)Instructions burned: 43 (million)
% 2.55/0.70  % (2520902)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.55/0.70  % (2520901)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=885080682: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)
% 2.55/0.70  % (2520902)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3169440636:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.55/0.70  % (2520902)Instruction limit reached! 
% 2.55/0.70  % (2520902)------------------------------
% 2.55/0.70  % (2520902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.70  % (2520902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.70  % (2520902)CaDiCaL version: 2.1.3
% 2.55/0.70  % (2520902)Termination reason: Instruction limit
% 2.55/0.70  % (2520902)Termination phase: Function definition elimination
% 2.55/0.70  % (2520902)Time elapsed: 0.004 s
% 2.55/0.70  % (2520902)Peak memory usage: 10 MB
% 2.55/0.70  % (2520902)Instructions burned: 8 (million)
% 2.55/0.70  % (2520888)Instruction limit reached! 
% 2.55/0.70  % (2520888)------------------------------
% 2.55/0.70  % (2520888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.70  % (2520888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.70  % (2520888)CaDiCaL version: 2.1.3
% 2.55/0.70  % (2520888)Termination reason: Instruction limit
% 2.55/0.70  % (2520888)Termination phase: Saturation
% 2.55/0.70  % (2520888)Time elapsed: 0.066 s
% 2.55/0.70  % (2520888)Peak memory usage: 14 MB
% 2.55/0.70  % (2520888)Instructions burned: 145 (million)
% 2.55/0.70  % (2520903)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=998596221:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.55/0.70  % (2520861)Instruction limit reached! 
% 2.55/0.70  % (2520861)------------------------------
% 2.55/0.70  % (2520861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.70  % (2520861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.70  % (2520861)CaDiCaL version: 2.1.3
% 2.55/0.70  % (2520861)Termination reason: Instruction limit
% 2.55/0.70  % (2520861)Termination phase: Saturation
% 2.55/0.70  % (2520861)Time elapsed: 0.157 s
% 2.55/0.70  % (2520861)Peak memory usage: 13 MB
% 2.55/0.70  % (2520861)Instructions burned: 327 (million)
% 2.55/0.70  % (2520906)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3654647749:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.55/0.74  % (2520903)Instruction limit reached! 
% 2.55/0.74  % (2520903)------------------------------
% 2.55/0.74  % (2520903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.74  % (2520903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.74  % (2520903)CaDiCaL version: 2.1.3
% 2.55/0.74  % (2520903)Termination reason: Instruction limit
% 2.55/0.74  % (2520903)Termination phase: Saturation
% 2.55/0.74  % (2520903)Time elapsed: 0.011 s
% 2.55/0.74  % (2520903)Peak memory usage: 12 MB
% 2.55/0.74  % (2520903)Instructions burned: 24 (million)
% 2.55/0.74  % (2520907)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=4021048348:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.55/0.74  % (2520906)Instruction limit reached! 
% 2.55/0.74  % (2520906)------------------------------
% 2.55/0.74  % (2520906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.74  % (2520906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.74  % (2520906)CaDiCaL version: 2.1.3
% 2.55/0.74  % (2520906)Termination reason: Instruction limit
% 2.55/0.74  % (2520906)Termination phase: Saturation
% 2.55/0.74  % (2520906)Time elapsed: 0.010 s
% 2.55/0.74  % (2520906)Peak memory usage: 12 MB
% 2.55/0.74  % (2520906)Instructions burned: 21 (million)
% 2.55/0.74  % (2520909)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=3641175952:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.55/0.74  % (2520911)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=2244141623:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.55/0.74  % (2520913)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=187950752:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.55/0.74  % (2520913)Refutation not found, incomplete strategy
% 2.55/0.74  % (2520913)------------------------------
% 2.55/0.74  % (2520913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.74  % (2520913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.74  % (2520913)CaDiCaL version: 2.1.3
% 2.55/0.74  % (2520913)Termination reason: Refutation not found, incomplete strategy
% 2.55/0.74  % (2520913)Time elapsed: 0.004 s
% 2.55/0.74  % (2520913)Peak memory usage: 12 MB
% 2.55/0.74  % (2520913)Instructions burned: 8 (million)
% 2.55/0.74  % (2520913)------------------------------
% 2.55/0.74  % (2520913)------------------------------
% 2.55/0.74  % (2520911)Instruction limit reached! 
% 2.55/0.74  % (2520911)------------------------------
% 2.55/0.74  % (2520911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.74  % (2520911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.74  % (2520911)CaDiCaL version: 2.1.3
% 2.55/0.74  % (2520911)Termination reason: Instruction limit
% 2.55/0.74  % (2520911)Termination phase: Saturation
% 2.55/0.74  % (2520911)Time elapsed: 0.021 s
% 2.55/0.74  % (2520911)Peak memory usage: 12 MB
% 2.55/0.74  % (2520911)Instructions burned: 45 (million)
% 2.55/0.74  % (2520917)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=85479904:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.55/0.74  % (2520918)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.55/0.74  % (2520918)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=459373805:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.55/0.74  % (2520917)Instruction limit reached! 
% 2.55/0.74  % (2520917)------------------------------
% 2.55/0.74  % (2520917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.74  % (2520917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.74  % (2520917)CaDiCaL version: 2.1.3
% 2.55/0.74  % (2520917)Termination reason: Instruction limit
% 2.55/0.74  % (2520917)Termination phase: Saturation
% 2.55/0.74  % (2520917)Time elapsed: 0.010 s
% 2.55/0.74  % (2520917)Peak memory usage: 12 MB
% 2.55/0.74  % (2520917)Instructions burned: 22 (million)
% 2.55/0.74  % (2520830)Instruction limit reached! 
% 2.55/0.74  % (2520830)------------------------------
% 2.55/0.74  % (2520830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.74  % (2520830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.74  % (2520830)CaDiCaL version: 2.1.3
% 2.55/0.74  % (2520830)Termination reason: Instruction limit
% 2.55/0.74  % (2520830)Termination phase: Saturation
% 2.55/0.74  % (2520830)Time elapsed: 0.327 s
% 2.55/0.74  % (2520830)Peak memory usage: 15 MB
% 2.55/0.74  % (2520830)Instructions burned: 635 (million)
% 2.55/0.74  % (2520901)Instruction limit reached! 
% 2.55/0.74  % (2520901)------------------------------
% 2.55/0.74  % (2520901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.74  % (2520901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.74  % (2520901)CaDiCaL version: 2.1.3
% 2.55/0.74  % (2520901)Termination reason: Instruction limit
% 2.55/0.74  % (2520901)Termination phase: Saturation
% 2.55/0.74  % (2520901)Time elapsed: 0.104 s
% 2.55/0.74  % (2520901)Peak memory usage: 12 MB
% 2.55/0.74  % (2520901)Instructions burned: 171 (million)
% 2.55/0.74  % (2520921)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1316355460:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.55/0.74  % (2520921)Instruction limit reached! 
% 2.55/0.74  % (2520921)------------------------------
% 2.55/0.74  % (2520921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.74  % (2520921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.74  % (2520921)CaDiCaL version: 2.1.3
% 2.55/0.74  % (2520921)Termination reason: Instruction limit
% 2.55/0.74  % (2520921)Termination phase: Saturation
% 2.55/0.74  % (2520921)Time elapsed: 0.007 s
% 2.55/0.74  % (2520921)Peak memory usage: 12 MB
% 2.55/0.74  % (2520921)Instructions burned: 13 (million)
% 2.55/0.74  % (2520922)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=101131869:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.55/0.74  % (2520923)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3816287065:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.55/0.74  % (2520925)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3645104711:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.55/0.74  % (2520922)Instruction limit reached! 
% 2.55/0.74  % (2520922)------------------------------
% 2.55/0.74  % (2520922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.74  % (2520922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.74  % (2520922)CaDiCaL version: 2.1.3
% 2.55/0.74  % (2520922)Termination reason: Instruction limit
% 2.55/0.74  % (2520922)Termination phase: Saturation
% 2.55/0.74  % (2520922)Time elapsed: 0.029 s
% 2.55/0.74  % (2520922)Peak memory usage: 12 MB
% 2.55/0.74  % (2520922)Instructions burned: 66 (million)
% 2.55/0.74  % (2520925)Instruction limit reached! 
% 2.55/0.74  % (2520925)------------------------------
% 2.55/0.74  % (2520925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.74  % (2520925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.74  % (2520925)CaDiCaL version: 2.1.3
% 2.55/0.74  % (2520925)Termination reason: Instruction limit
% 2.55/0.74  % (2520925)Termination phase: Saturation
% 2.55/0.74  % (2520925)Time elapsed: 0.014 s
% 2.55/0.74  % (2520925)Peak memory usage: 12 MB
% 2.55/0.74  % (2520925)Instructions burned: 32 (million)
% 2.55/0.74  % (2520923)Instruction limit reached! 
% 2.55/0.74  % (2520923)------------------------------
% 2.55/0.74  % (2520923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.74  % (2520923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.74  % (2520923)CaDiCaL version: 2.1.3
% 2.55/0.74  % (2520923)Termination reason: Instruction limit
% 2.55/0.74  % (2520923)Termination phase: Saturation
% 2.55/0.74  % (2520923)Time elapsed: 0.024 s
% 2.55/0.74  % (2520923)Peak memory usage: 12 MB
% 2.55/0.74  % (2520923)Instructions burned: 52 (million)
% 2.55/0.74  % (2520931)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3788231799:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 2.55/0.74  % (2520918)Instruction limit reached! 
% 2.55/0.74  % (2520918)------------------------------
% 2.55/0.74  % (2520918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.74  % (2520918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.74  % (2520918)CaDiCaL version: 2.1.3
% 2.55/0.74  % (2520918)Termination reason: Instruction limit
% 2.55/0.74  % (2520918)Termination phase: Saturation
% 2.55/0.74  % (2520918)Time elapsed: 0.090 s
% 2.55/0.74  % (2520918)Peak memory usage: 13 MB
% 2.55/0.74  % (2520918)Instructions burned: 200 (million)
% 2.55/0.74  % (2520930)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=438568248:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 2.55/0.74  % (2520929)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1893978962:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 2.55/0.74  % (2520907)Instruction limit reached! 
% 2.55/0.74  % (2520907)------------------------------
% 2.55/0.74  % (2520907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.74  % (2520907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.74  % (2520907)CaDiCaL version: 2.1.3
% 2.55/0.74  % (2520907)Termination reason: Instruction limit
% 2.55/0.74  % (2520907)Termination phase: Saturation
% 2.55/0.74  % (2520907)Time elapsed: 0.156 s
% 2.55/0.74  % (2520907)Peak memory usage: 14 MB
% 2.55/0.74  % (2520907)Instructions burned: 316 (million)
% 2.55/0.74  % (2520933)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.55/0.74  % (2520933)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2632069038:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 2.55/0.74  % (2520930)Instruction limit reached! 
% 2.55/0.74  % (2520930)------------------------------
% 2.55/0.74  % (2520930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.74  % (2520930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.74  % (2520930)CaDiCaL version: 2.1.3
% 2.55/0.74  % (2520930)Termination reason: Instruction limit
% 2.55/0.74  % (2520930)Termination phase: Saturation
% 2.55/0.74  % (2520930)Time elapsed: 0.016 s
% 2.55/0.74  % (2520930)Peak memory usage: 13 MB
% 2.55/0.74  % (2520930)Instructions burned: 34 (million)
% 2.55/0.74  % (2520931)Instruction limit reached! 
% 2.55/0.74  % (2520931)------------------------------
% 2.55/0.74  % (2520931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.74  % (2520931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.74  % (2520931)CaDiCaL version: 2.1.3
% 2.55/0.74  % (2520931)Termination reason: Instruction limit
% 2.55/0.74  % (2520931)Termination phase: Saturation
% 2.55/0.74  % (2520931)Time elapsed: 0.031 s
% 2.55/0.74  % (2520931)Peak memory usage: 13 MB
% 2.55/0.74  % (2520931)Instructions burned: 67 (million)
% 2.55/0.74  % (2520936)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=874753229:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 2.55/0.74  % (2520929) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2520822-2520929"...
% 2.55/0.74  % (2520929)...printing done.
% 2.55/0.74  % (2520929)Refutation found. Thanks to Tanya!
% 2.55/0.74  % SZS status Theorem for theBenchmark
% 2.55/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 2.55/0.74  % (2520929)------------------------------
% 2.55/0.74  % (2520929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.55/0.74  % (2520929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/0.74  % (2520929)CaDiCaL version: 2.1.3
% 2.55/0.74  % (2520929)Termination reason: Refutation
% 2.55/0.74  % (2520929)Time elapsed: 0.025 s
% 2.55/0.74  % (2520929)Peak memory usage: 13 MB
% 2.55/0.74  % (2520929)Instructions burned: 50 (million)
% 2.55/0.74  % (2520822)Success in time 0.476 s
% 2.55/0.74  % Vampire exiting
%------------------------------------------------------------------------------