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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU484^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 08:29:46 AM UTC 2026

% Result   : Theorem 0.24s 0.35s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   49 (  23 unt;   0 typ;   0 def)
%            Number of atoms       :  226 (  83 equ;   0 cnn)
%            Maximal formula atoms :    3 (   4 avg)
%            Number of connectives :  371 (  44   ~;  26   |;  14   &; 225   @)
%                                         (   0 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   59 (  59   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   49 (  44 usr;   4 con; 0-4 aty)
%                                         (  19  !!;  15  ??;   0 @@+;   0 @@-)
%            Number of variables   :  126 (  56   ^;  65   !;   5   ?; 126   :)

% 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,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_31,type,
    vIMP: $o > $o > $o ).

thf(func_def_32,type,
    vAND: $o > $o > $o ).

thf(func_def_33,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_34,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_35,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_36,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_37,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_38,type,
    vNOT: $o > $o ).

thf(func_def_39,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_40,type,
    vOR: $o > $o > $o ).

thf(func_def_41,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

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

thf(func_def_45,type,
    sK1: ( $i > $o ) > $i ).

thf(f6,axiom,
    ( ( ^ [X0: $i > $i > $o] :
        ! [X1: $i] : ( X0 @ X1 @ X1 ) )
    = refl ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax',reflexive) ).

thf(f20,axiom,
    ( ( ^ [X0: $i > $i > $o] :
        ! [X1: $i > $o] :
          ( ? [X2: $i] : ( X1 @ X2 )
         => ? [X2: $i] :
              ( ( X1 @ X2 )
              & ! [X3: $i] :
                  ( ( X1 @ X3 )
                 => ~ ( X0 @ X2 @ X3 ) ) ) ) )
    = term ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax',terminating) ).

thf(f30,conjecture,
    ! [X0: $i > $i > $o] :
      ( ( refl @ X0 )
     => ~ ( term @ X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexive_implies_non_terminating) ).

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

thf(f72,plain,
    ( ( ^ [X0: $i > $i > $o] :
        ! [X1: $i > $o] :
          ( ? [X2: $i] : ( X1 @ X2 )
         => ? [X3: $i] :
              ( ( X1 @ X3 )
              & ! [X4: $i] :
                  ( ( X1 @ X4 )
                 => ~ ( X0 @ X3 @ X4 ) ) ) ) )
    = term ),
    inference(rectify,[],[f20]) ).

thf(f73,plain,
    ( term
    = ( ^ [Y0: $i > $i > $o] :
          ( !! @ ( $i > $o )
          @ ^ [Y1: $i > $o] :
              ( ( ?? @ $i
                @ ^ [Y2: $i] : ( Y1 @ Y2 ) )
             => ( ?? @ $i
                @ ^ [Y2: $i] :
                    ( ( !! @ $i
                      @ ^ [Y3: $i] :
                          ( ( Y1 @ Y3 )
                         => ~ ( Y0 @ Y2 @ Y3 ) ) )
                    & ( Y1 @ Y2 ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f72]) ).

thf(f76,plain,
    ~ ! [X0: $i > $i > $o] :
        ( ( refl @ X0 )
       => ~ ( term @ X0 ) ),
    inference(rectify,[],[f31]) ).

thf(f77,plain,
    ~ ! [X0: $i > $i > $o] :
        ( ( ( refl @ X0 )
          = $true )
       => ( ( term @ X0 )
         != $true ) ),
    inference(fool_elimination,[],[f76]) ).

thf(f80,plain,
    ( ( ^ [X0: $i > $i > $o] :
        ! [X1: $i] : ( X0 @ X1 @ X1 ) )
    = refl ),
    inference(rectify,[],[f6]) ).

thf(f81,plain,
    ( refl
    = ( ^ [Y0: $i > $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f80]) ).

thf(f88,plain,
    ~ ! [X0: $i > $i > $o] :
        ( ( ( refl @ X0 )
          = $true )
       => ( ( term @ X0 )
         != $true ) ),
    inference(flattening,[],[f77]) ).

thf(f89,plain,
    ? [X0: $i > $i > $o] :
      ( ( ( refl @ X0 )
        = $true )
      & ( ( term @ X0 )
        = $true ) ),
    inference(ennf_transformation,[],[f88]) ).

thf(f90,plain,
    ( ( $true
      = ( refl @ sK0 ) )
    & ( $true
      = ( term @ sK0 ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f89]) ).

thf(f97,plain,
    ( term
    = ( ^ [Y0: $i > $i > $o] :
          ( !! @ ( $i > $o )
          @ ^ [Y1: $i > $o] :
              ( ( ?? @ $i
                @ ^ [Y2: $i] : ( Y1 @ Y2 ) )
             => ( ?? @ $i
                @ ^ [Y2: $i] :
                    ( ( !! @ $i
                      @ ^ [Y3: $i] :
                          ( ( Y1 @ Y3 )
                         => ~ ( Y0 @ Y2 @ Y3 ) ) )
                    & ( Y1 @ Y2 ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f73]) ).

thf(f119,plain,
    ( refl
    = ( ^ [Y0: $i > $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f81]) ).

thf(f120,plain,
    ( $true
    = ( term @ sK0 ) ),
    inference(cnf_transformation,[],[f90]) ).

thf(f121,plain,
    ( $true
    = ( refl @ sK0 ) ),
    inference(cnf_transformation,[],[f90]) ).

thf(f139,plain,
    ( $true
    = ( ^ [Y0: $i > $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
      @ sK0 ) ),
    inference(definition_unfolding,[],[f121,f119]) ).

thf(f140,plain,
    ( $true
    = ( ^ [Y0: $i > $i > $o] :
          ( !! @ ( $i > $o )
          @ ^ [Y1: $i > $o] :
              ( ( ?? @ $i
                @ ^ [Y2: $i] : ( Y1 @ Y2 ) )
             => ( ?? @ $i
                @ ^ [Y2: $i] :
                    ( ( !! @ $i
                      @ ^ [Y3: $i] :
                          ( ( Y1 @ Y3 )
                         => ~ ( Y0 @ Y2 @ Y3 ) ) )
                    & ( Y1 @ Y2 ) ) ) ) )
      @ sK0 ) ),
    inference(definition_unfolding,[],[f120,f97]) ).

thf(f141,plain,
    ( $true
    = ( !! @ ( $i > $o )
      @ ^ [Y0: $i > $o] :
          ( ( ?? @ $i @ Y0 )
         => ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ( !! @ $i
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y2 )
                     => ~ ( sK0 @ Y1 @ Y2 ) ) )
                & ( Y0 @ Y1 ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f140]) ).

thf(f142,plain,
    ! [X1: $i > $o] :
      ( $true
      = ( ^ [Y0: $i > $o] :
            ( ( ?? @ $i @ Y0 )
           => ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( !! @ $i
                    @ ^ [Y2: $i] :
                        ( ( Y0 @ Y2 )
                       => ~ ( sK0 @ Y1 @ Y2 ) ) )
                  & ( Y0 @ Y1 ) ) ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f141]) ).

thf(f143,plain,
    ! [X1: $i > $o] :
      ( $true
      = ( ( ?? @ $i @ X1 )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( !! @ $i
                @ ^ [Y1: $i] :
                    ( ( X1 @ Y1 )
                   => ~ ( sK0 @ Y0 @ Y1 ) ) )
              & ( X1 @ Y0 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f142]) ).

thf(f144,plain,
    ! [X1: $i > $o] :
      ( ( ( ?? @ $i @ X1 )
        = $false )
      | ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( !! @ $i
                @ ^ [Y1: $i] :
                    ( ( X1 @ Y1 )
                   => ~ ( sK0 @ Y0 @ Y1 ) ) )
              & ( X1 @ Y0 ) ) )
        = $true ) ),
    inference(imp_proxy_clausification,[],[f143]) ).

thf(f145,plain,
    ! [X2: $i,X1: $i > $o] :
      ( ( ( X1 @ X2 )
        = $false )
      | ( ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( !! @ $i
                @ ^ [Y1: $i] :
                    ( ( X1 @ Y1 )
                   => ~ ( sK0 @ Y0 @ Y1 ) ) )
              & ( X1 @ Y0 ) ) )
        = $true ) ),
    inference(pi_proxy_clausification,[],[f144]) ).

thf(f146,plain,
    ! [X2: $i,X1: $i > $o] :
      ( ( ( X1 @ X2 )
        = $false )
      | ( ( ^ [Y0: $i] :
              ( ( !! @ $i
                @ ^ [Y1: $i] :
                    ( ( X1 @ Y1 )
                   => ~ ( sK0 @ Y0 @ Y1 ) ) )
              & ( X1 @ Y0 ) )
          @ ( sK1 @ X1 ) )
        = $true ) ),
    inference(sigma_proxy_clausification,[],[f145]) ).

thf(f147,plain,
    ! [X2: $i,X1: $i > $o] :
      ( ( $true
        = ( ( !! @ $i
            @ ^ [Y0: $i] :
                ( ( X1 @ Y0 )
               => ~ ( sK0 @ ( sK1 @ X1 ) @ Y0 ) ) )
          & ( X1 @ ( sK1 @ X1 ) ) ) )
      | ( ( X1 @ X2 )
        = $false ) ),
    inference(beta-eta_normalization,[],[f146]) ).

thf(f148,plain,
    ! [X2: $i,X1: $i > $o] :
      ( ( $true
        = ( X1 @ ( sK1 @ X1 ) ) )
      | ( ( X1 @ X2 )
        = $false ) ),
    inference(and_proxy_clausification,[],[f147]) ).

thf(f149,plain,
    ! [X2: $i,X1: $i > $o] :
      ( ( ( X1 @ X2 )
        = $false )
      | ( $true
        = ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( X1 @ Y0 )
             => ~ ( sK0 @ ( sK1 @ X1 ) @ Y0 ) ) ) ) ),
    inference(and_proxy_clausification,[],[f147]) ).

thf(f150,plain,
    ! [X2: $i,X3: $i,X1: $i > $o] :
      ( ( $true
        = ( ^ [Y0: $i] :
              ( ( X1 @ Y0 )
             => ~ ( sK0 @ ( sK1 @ X1 ) @ Y0 ) )
          @ X3 ) )
      | ( ( X1 @ X2 )
        = $false ) ),
    inference(pi_proxy_clausification,[],[f149]) ).

thf(f151,plain,
    ! [X2: $i,X3: $i,X1: $i > $o] :
      ( ( $true
        = ( ( X1 @ X3 )
         => ~ ( sK0 @ ( sK1 @ X1 ) @ X3 ) ) )
      | ( ( X1 @ X2 )
        = $false ) ),
    inference(beta-eta_normalization,[],[f150]) ).

thf(f152,plain,
    ! [X2: $i,X3: $i,X1: $i > $o] :
      ( ( ( X1 @ X2 )
        = $false )
      | ( ( ~ ( sK0 @ ( sK1 @ X1 ) @ X3 ) )
        = $true )
      | ( ( X1 @ X3 )
        = $false ) ),
    inference(imp_proxy_clausification,[],[f151]) ).

thf(f153,plain,
    ! [X2: $i,X3: $i,X1: $i > $o] :
      ( ( ( sK0 @ ( sK1 @ X1 ) @ X3 )
        = $false )
      | ( ( X1 @ X2 )
        = $false )
      | ( ( X1 @ X3 )
        = $false ) ),
    inference(not_proxy_clausification,[],[f152]) ).

thf(f154,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] : ( sK0 @ Y0 @ Y0 ) )
    = $true ),
    inference(beta-eta_normalization,[],[f139]) ).

thf(f155,plain,
    ! [X1: $i] :
      ( $true
      = ( ^ [Y0: $i] : ( sK0 @ Y0 @ Y0 )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f154]) ).

thf(f156,plain,
    ! [X1: $i] :
      ( $true
      = ( sK0 @ X1 @ X1 ) ),
    inference(beta-eta_normalization,[],[f155]) ).

thf(f163,plain,
    ! [X2: $i,X3: $i > $o] :
      ( ( ( ^ [Y0: $i] :
              ~ ( X3 @ Y0 )
          @ X2 )
        = $false )
      | ( $true
        = ( ^ [Y0: $i] :
              ~ ( X3 @ Y0 )
          @ ( sK1
            @ ^ [Y0: $i] :
                ~ ( X3 @ Y0 ) ) ) ) ),
    inference(primitive_instantiation,[],[f148]) ).

thf(f167,plain,
    ! [X2: $i,X3: $i > $o] :
      ( ( ( ~ ( X3
              @ ( sK1
                @ ^ [Y0: $i] :
                    ~ ( X3 @ Y0 ) ) ) )
        = $true )
      | ( ( ~ ( X3 @ X2 ) )
        = $false ) ),
    inference(beta-eta_normalization,[],[f163]) ).

thf(f168,plain,
    ! [X2: $i,X3: $i > $o] :
      ( ( $false
        = ( X3
          @ ( sK1
            @ ^ [Y0: $i] :
                ~ ( X3 @ Y0 ) ) ) )
      | ( ( ~ ( X3 @ X2 ) )
        = $false ) ),
    inference(not_proxy_clausification,[],[f167]) ).

thf(f169,plain,
    ! [X2: $i,X3: $i > $o] :
      ( ( $false
        = ( X3
          @ ( sK1
            @ ^ [Y0: $i] :
                ~ ( X3 @ Y0 ) ) ) )
      | ( $true
        = ( X3 @ X2 ) ) ),
    inference(not_proxy_clausification,[],[f168]) ).

thf(f178,plain,
    ! [X0: $i] :
      ( ( sK1
        @ ^ [Y0: $i] :
            ~ ( ^ [Y1: $i] : ( Y1 != X0 )
              @ Y0 ) )
      = X0 ),
    inference(leibniz_equality_elimination,[],[f169]) ).

thf(f206,plain,
    ! [X0: $i] :
      ( ( sK1
        @ ^ [Y0: $i] :
            ~ ( ( Y0 != X0 ) ) )
      = X0 ),
    inference(beta-eta_normalization,[],[f178]) ).

thf(f207,plain,
    ! [X0: $i] :
      ( ( sK1
        @ ^ [Y0: $i] : ( Y0 = X0 ) )
      = X0 ),
    inference(boolean_simplification,[],[f206]) ).

thf(f216,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( ^ [Y0: $i] : ( Y0 = X0 )
          @ X2 )
        = $false )
      | ( ( ^ [Y0: $i] : ( Y0 = X0 )
          @ X1 )
        = $false )
      | ( $false
        = ( sK0 @ X0 @ X1 ) ) ),
    inference(constrained_superposition,[],[f153,f207]) ).

thf(f239,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $false
        = ( sK0 @ X0 @ X1 ) )
      | ( ( X1 = X0 )
        = $false )
      | ( ( X2 = X0 )
        = $false ) ),
    inference(beta-eta_normalization,[],[f216]) ).

thf(f240,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $false
        = ( sK0 @ X0 @ X1 ) )
      | ( X0 != X1 )
      | ( ( X2 = X0 )
        = $false ) ),
    inference(equality_proxy_clausification,[],[f239]) ).

thf(f241,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $false
        = ( sK0 @ X0 @ X1 ) )
      | ( X0 != X2 )
      | ( X0 != X1 ) ),
    inference(equality_proxy_clausification,[],[f240]) ).

thf(f257,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != X1 )
      | ( $true = $false )
      | ( X0 != X0 ) ),
    inference(constrained_superposition,[],[f156,f241]) ).

thf(f260,plain,
    ! [X0: $i,X1: $i] : ( X0 != X1 ),
    inference(trivial_inequality_removal,[],[f257]) ).

thf(f261,plain,
    $false,
    inference(flex-flex_simplification,[],[f260]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU484^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  % Computer : n014.cluster.edu
% 0.09/0.23  % Model    : x86_64 x86_64
% 0.09/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23  % Memory   : 8046.5625MB
% 0.09/0.23  % OS       : Linux 6.8.0-71-generic
% 0.09/0.23  % CPULimit : 300
% 0.09/0.23  % WCLimit  : 300
% 0.09/0.23  % DateTime : Tue Sep 29 13:43:15 UTC 2026
% 0.09/0.23  % CPUTime  : 
% 0.09/0.23  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.28  Running higher-order theorem proving
% 0.24/0.30  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
% 0.24/0.35  % (2678656)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.24/0.35  % (2678661)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3135991754:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.24/0.35  % (2678665)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2441042507:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.24/0.35  % (2678661) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2678656-2678661"...
% 0.24/0.35  % (2678667)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.24/0.35  % (2678667)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
% 0.24/0.35  % (2678661)...printing done.
% 0.24/0.35  % (2678661)Refutation found. Thanks to Tanya!
% 0.24/0.35  % SZS status Theorem for theBenchmark
% 0.24/0.35  % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.35  % (2678661)------------------------------
% 0.24/0.35  % (2678661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.35  % (2678661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.35  % (2678661)CaDiCaL version: 2.1.3
% 0.24/0.35  % (2678661)Termination reason: Refutation
% 0.24/0.35  % (2678661)Time elapsed: 0.009 s
% 0.24/0.35  % (2678661)Peak memory usage: 12 MB
% 0.24/0.35  % (2678661)Instructions burned: 18 (million)
% 0.24/0.35  % (2678656)Success in time 0.034 s
% 0.24/0.35  % Vampire exiting
%------------------------------------------------------------------------------