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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYO887^22 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 08:48:35 AM UTC 2026

% Result   : Theorem 0.22s 0.30s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   54 (  37 unt;   0 typ;   0 def)
%            Number of atoms       :  294 (  67 equ;   0 cnn)
%            Maximal formula atoms :    8 (   5 avg)
%            Number of connectives :  413 (   7   ~;  19   |;  29   &; 319   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   36 (  36   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   33 (  28 usr;   5 con; 0-4 aty)
%                                         (   5  !!;  19  ??;   0 @@+;   0 @@-)
%            Number of variables   :  122 (  93   ^;  25   !;   4   ?; 122   :)

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

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

thf(func_def_0,type,
    mrel: mworld > mworld > $o ).

thf(func_def_1,type,
    mactual: mworld ).

thf(func_def_2,type,
    mlocal: ( mworld > $o ) > $o ).

thf(func_def_4,type,
    mnot: ( mworld > $o ) > mworld > $o ).

thf(func_def_5,type,
    mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_6,type,
    mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_7,type,
    mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_8,type,
    mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_9,type,
    mbox: ( mworld > $o ) > mworld > $o ).

thf(func_def_10,type,
    mdia: ( mworld > $o ) > mworld > $o ).

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

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

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

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

thf(func_def_15,type,
    vNOT: $o > $o ).

thf(func_def_16,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_17,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_18,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_19,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_20,type,
    vAND: $o > $o > $o ).

thf(func_def_21,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_24,type,
    vOR: $o > $o > $o ).

thf(func_def_25,type,
    vIFF: $o > $o > $o ).

thf(func_def_26,type,
    vIMP: $o > $o > $o ).

thf(func_def_27,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_28,type,
    sK0: mworld > $i ).

thf(func_def_29,type,
    sK1: mworld > $i ).

thf(f1,axiom,
    ( mlocal
    = ( ^ [X0: mworld > $o] : ( X0 @ mactual ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).

thf(f5,axiom,
    ( mimplies
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
         => ( X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def) ).

thf(f7,axiom,
    ( ( ^ [X0: mworld > $o,X1: mworld] :
        ! [X2: mworld] :
          ( ( mrel @ X1 @ X2 )
         => ( X0 @ X2 ) ) )
    = mbox ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).

thf(f8,axiom,
    ( ( ^ [X0: mworld > $o,X1: mworld] :
        ? [X2: mworld] :
          ( ( mrel @ X1 @ X2 )
          & ( X0 @ X2 ) ) )
    = mdia ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mdia_def) ).

thf(f9,axiom,
    ! [X0: mworld] : ( mrel @ X0 @ X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).

thf(f14,axiom,
    ( mexists_di
    = ( ^ [X0: $i > mworld > $o,X1: mworld] :
        ? [X2: $i] :
          ( ( eiw_di @ X2 @ X1 )
          & ( X0 @ X2 @ X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di_def) ).

thf(f15,conjecture,
    ( mlocal
    @ ( mimplies
      @ ( mbox
        @ ( mexists_di
          @ ^ [X0: $i] : ( f @ X0 ) ) )
      @ ( mexists_di
        @ ^ [X0: $i] : ( mdia @ ( f @ X0 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(f16,negated_conjecture,
    ~ ( mlocal
      @ ( mimplies
        @ ( mbox
          @ ( mexists_di
            @ ^ [X0: $i] : ( f @ X0 ) ) )
        @ ( mexists_di
          @ ^ [X0: $i] : ( mdia @ ( f @ X0 ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f15]) ).

thf(f19,plain,
    ( mexists_di
    = ( ^ [X0: $i > mworld > $o,X1: mworld] :
        ? [X2: $i] :
          ( ( eiw_di @ X2 @ X1 )
          & ( X0 @ X2 @ X1 ) ) ) ),
    inference(rectify,[],[f14]) ).

thf(f20,plain,
    ( mexists_di
    = ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
          ( ?? @ $i
          @ ^ [Y2: $i] :
              ( ( Y0 @ Y2 @ Y1 )
              & ( eiw_di @ Y2 @ Y1 ) ) ) ) ),
    inference(fool_elimination,[],[f19]) ).

thf(f21,plain,
    ~ ( mlocal
      @ ( mimplies
        @ ( mbox
          @ ( mexists_di
            @ ^ [X0: $i] : ( f @ X0 ) ) )
        @ ( mexists_di
          @ ^ [X1: $i] : ( mdia @ ( f @ X1 ) ) ) ) ),
    inference(rectify,[],[f16]) ).

thf(f22,plain,
    ( $true
   != ( mlocal
      @ ( mimplies
        @ ( mbox
          @ ( mexists_di
            @ ^ [Y0: $i] : ( f @ Y0 ) ) )
        @ ( mexists_di
          @ ^ [Y0: $i] : ( mdia @ ( f @ Y0 ) ) ) ) ) ),
    inference(fool_elimination,[],[f21]) ).

thf(f27,plain,
    ( mimplies
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
         => ( X1 @ X2 ) ) ) ),
    inference(rectify,[],[f5]) ).

thf(f28,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f27]) ).

thf(f29,plain,
    ! [X0: mworld] : ( mrel @ X0 @ X0 ),
    inference(rectify,[],[f9]) ).

thf(f30,plain,
    ! [X0: mworld] :
      ( ( mrel @ X0 @ X0 )
      = $true ),
    inference(fool_elimination,[],[f29]) ).

thf(f33,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(fool_elimination,[],[f1]) ).

thf(f38,plain,
    ( ( ^ [X0: mworld > $o,X1: mworld] :
        ? [X2: mworld] :
          ( ( mrel @ X1 @ X2 )
          & ( X0 @ X2 ) ) )
    = mdia ),
    inference(rectify,[],[f8]) ).

thf(f39,plain,
    ( mdia
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ( ?? @ mworld
          @ ^ [Y2: mworld] :
              ( ( Y0 @ Y2 )
              & ( mrel @ Y1 @ Y2 ) ) ) ) ),
    inference(fool_elimination,[],[f38]) ).

thf(f40,plain,
    ( ( ^ [X0: mworld > $o,X1: mworld] :
        ! [X2: mworld] :
          ( ( mrel @ X1 @ X2 )
         => ( X0 @ X2 ) ) )
    = mbox ),
    inference(rectify,[],[f7]) ).

thf(f41,plain,
    ( mbox
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ( !! @ mworld
          @ ^ [Y2: mworld] :
              ( ( mrel @ Y1 @ Y2 )
             => ( Y0 @ Y2 ) ) ) ) ),
    inference(fool_elimination,[],[f40]) ).

thf(f46,plain,
    ( $true
   != ( mlocal
      @ ( mimplies
        @ ( mbox
          @ ( mexists_di
            @ ^ [Y0: $i] : ( f @ Y0 ) ) )
        @ ( mexists_di
          @ ^ [Y0: $i] : ( mdia @ ( f @ Y0 ) ) ) ) ) ),
    inference(flattening,[],[f22]) ).

thf(f56,plain,
    ( $true
   != ( mlocal
      @ ( mimplies
        @ ( mbox
          @ ( mexists_di
            @ ^ [Y0: $i] : ( f @ Y0 ) ) )
        @ ( mexists_di
          @ ^ [Y0: $i] : ( mdia @ ( f @ Y0 ) ) ) ) ) ),
    inference(cnf_transformation,[],[f46]) ).

thf(f58,plain,
    ( mexists_di
    = ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
          ( ?? @ $i
          @ ^ [Y2: $i] :
              ( ( Y0 @ Y2 @ Y1 )
              & ( eiw_di @ Y2 @ Y1 ) ) ) ) ),
    inference(cnf_transformation,[],[f20]) ).

thf(f60,plain,
    ! [X0: mworld] :
      ( ( mrel @ X0 @ X0 )
      = $true ),
    inference(cnf_transformation,[],[f30]) ).

thf(f62,plain,
    ( mdia
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ( ?? @ mworld
          @ ^ [Y2: mworld] :
              ( ( Y0 @ Y2 )
              & ( mrel @ Y1 @ Y2 ) ) ) ) ),
    inference(cnf_transformation,[],[f39]) ).

thf(f65,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f28]) ).

thf(f67,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[],[f33]) ).

thf(f68,plain,
    ( mbox
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ( !! @ mworld
          @ ^ [Y2: mworld] :
              ( ( mrel @ Y1 @ Y2 )
             => ( Y0 @ Y2 ) ) ) ) ),
    inference(cnf_transformation,[],[f41]) ).

thf(f71,plain,
    ( $true
   != ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
            ( ( Y0 @ Y2 )
           => ( Y1 @ Y2 ) )
        @ ( ^ [Y0: mworld > $o,Y1: mworld] :
              ( !! @ mworld
              @ ^ [Y2: mworld] :
                  ( ( mrel @ Y1 @ Y2 )
                 => ( Y0 @ Y2 ) ) )
          @ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
                ( ?? @ $i
                @ ^ [Y2: $i] :
                    ( ( Y0 @ Y2 @ Y1 )
                    & ( eiw_di @ Y2 @ Y1 ) ) )
            @ ^ [Y0: $i] : ( f @ Y0 ) ) )
        @ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
              ( ?? @ $i
              @ ^ [Y2: $i] :
                  ( ( Y0 @ Y2 @ Y1 )
                  & ( eiw_di @ Y2 @ Y1 ) ) )
          @ ^ [Y0: $i] :
              ( ^ [Y1: mworld > $o,Y2: mworld] :
                  ( ?? @ mworld
                  @ ^ [Y3: mworld] :
                      ( ( Y1 @ Y3 )
                      & ( mrel @ Y2 @ Y3 ) ) )
              @ ( f @ Y0 ) ) ) ) ) ),
    inference(definition_unfolding,[],[f56,f67,f65,f68,f58,f58,f62]) ).

thf(f72,plain,
    ( ( ( !! @ mworld
        @ ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( f @ Y1 @ Y0 )
                  & ( eiw_di @ Y1 @ Y0 ) ) ) ) )
     => ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( ?? @ mworld
              @ ^ [Y1: mworld] :
                  ( ( f @ Y0 @ Y1 )
                  & ( mrel @ mactual @ Y1 ) ) )
            & ( eiw_di @ Y0 @ mactual ) ) ) )
   != $true ),
    inference(beta-eta_normalization,[],[f71]) ).

thf(f73,plain,
    ( $false
    = ( ?? @ $i
      @ ^ [Y0: $i] :
          ( ( ?? @ mworld
            @ ^ [Y1: mworld] :
                ( ( f @ Y0 @ Y1 )
                & ( mrel @ mactual @ Y1 ) ) )
          & ( eiw_di @ Y0 @ mactual ) ) ) ),
    inference(imp_proxy_clausification,[],[f72]) ).

thf(f74,plain,
    ( $true
    = ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ( f @ Y1 @ Y0 )
                & ( eiw_di @ Y1 @ Y0 ) ) ) ) ) ),
    inference(imp_proxy_clausification,[],[f72]) ).

thf(f75,plain,
    ! [X1: mworld] :
      ( $true
      = ( ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( f @ Y1 @ Y0 )
                  & ( eiw_di @ Y1 @ Y0 ) ) ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f74]) ).

thf(f76,plain,
    ! [X1: mworld] :
      ( ( ( mrel @ mactual @ X1 )
       => ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( f @ Y0 @ X1 )
              & ( eiw_di @ Y0 @ X1 ) ) ) )
      = $true ),
    inference(beta-eta_normalization,[],[f75]) ).

thf(f77,plain,
    ! [X1: mworld] :
      ( ( $true
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( f @ Y0 @ X1 )
              & ( eiw_di @ Y0 @ X1 ) ) ) )
      | ( $false
        = ( mrel @ mactual @ X1 ) ) ),
    inference(imp_proxy_clausification,[],[f76]) ).

thf(f78,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ mactual @ X1 ) )
      | ( $true
        = ( ^ [Y0: $i] :
              ( ( f @ Y0 @ X1 )
              & ( eiw_di @ Y0 @ X1 ) )
          @ ( sK1 @ X1 ) ) ) ),
    inference(sigma_proxy_clausification,[],[f77]) ).

thf(f79,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ mactual @ X1 ) )
      | ( $true
        = ( ( f @ ( sK1 @ X1 ) @ X1 )
          & ( eiw_di @ ( sK1 @ X1 ) @ X1 ) ) ) ),
    inference(beta-eta_normalization,[],[f78]) ).

thf(f80,plain,
    ! [X1: mworld] :
      ( ( $true
        = ( eiw_di @ ( sK1 @ X1 ) @ X1 ) )
      | ( $false
        = ( mrel @ mactual @ X1 ) ) ),
    inference(and_proxy_clausification,[],[f79]) ).

thf(f81,plain,
    ! [X1: mworld] :
      ( ( $true
        = ( f @ ( sK1 @ X1 ) @ X1 ) )
      | ( $false
        = ( mrel @ mactual @ X1 ) ) ),
    inference(and_proxy_clausification,[],[f79]) ).

thf(f82,plain,
    ! [X1: $i] :
      ( $false
      = ( ^ [Y0: $i] :
            ( ( ?? @ mworld
              @ ^ [Y1: mworld] :
                  ( ( f @ Y0 @ Y1 )
                  & ( mrel @ mactual @ Y1 ) ) )
            & ( eiw_di @ Y0 @ mactual ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f73]) ).

thf(f83,plain,
    ! [X1: $i] :
      ( $false
      = ( ( ?? @ mworld
          @ ^ [Y0: mworld] :
              ( ( f @ X1 @ Y0 )
              & ( mrel @ mactual @ Y0 ) ) )
        & ( eiw_di @ X1 @ mactual ) ) ),
    inference(beta-eta_normalization,[],[f82]) ).

thf(f84,plain,
    ! [X1: $i] :
      ( ( $false
        = ( ?? @ mworld
          @ ^ [Y0: mworld] :
              ( ( f @ X1 @ Y0 )
              & ( mrel @ mactual @ Y0 ) ) ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) ) ),
    inference(and_proxy_clausification,[],[f83]) ).

thf(f85,plain,
    ! [X2: mworld,X1: $i] :
      ( ( $false
        = ( eiw_di @ X1 @ mactual ) )
      | ( ( ^ [Y0: mworld] :
              ( ( f @ X1 @ Y0 )
              & ( mrel @ mactual @ Y0 ) )
          @ X2 )
        = $false ) ),
    inference(pi_proxy_clausification,[],[f84]) ).

thf(f86,plain,
    ! [X2: mworld,X1: $i] :
      ( ( $false
        = ( ( f @ X1 @ X2 )
          & ( mrel @ mactual @ X2 ) ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) ) ),
    inference(beta-eta_normalization,[],[f85]) ).

thf(f87,plain,
    ! [X2: mworld,X1: $i] :
      ( ( $false
        = ( mrel @ mactual @ X2 ) )
      | ( $false
        = ( f @ X1 @ X2 ) )
      | ( $false
        = ( eiw_di @ X1 @ mactual ) ) ),
    inference(and_proxy_clausification,[],[f86]) ).

thf(f89,plain,
    ! [X0: mworld] :
      ( ( $false
        = ( mrel @ mactual @ X0 ) )
      | ( $false
        = ( eiw_di @ ( sK1 @ X0 ) @ mactual ) )
      | ( $false
        = ( mrel @ mactual @ X0 ) )
      | ( $true = $false ) ),
    inference(constrained_superposition,[],[f87,f81]) ).

thf(f90,plain,
    ! [X0: mworld] :
      ( ( $false
        = ( eiw_di @ ( sK1 @ X0 ) @ mactual ) )
      | ( $false
        = ( mrel @ mactual @ X0 ) )
      | ( $true = $false ) ),
    inference(duplicate_literal_removal,[],[f89]) ).

thf(f91,plain,
    ! [X0: mworld] :
      ( ( $false
        = ( eiw_di @ ( sK1 @ X0 ) @ mactual ) )
      | ( $false
        = ( mrel @ mactual @ X0 ) ) ),
    inference(trivial_inequality_removal,[],[f90]) ).

thf(f95,plain,
    ( ( $true = $false )
    | ( $false
      = ( mrel @ mactual @ mactual ) )
    | ( $false
      = ( mrel @ mactual @ mactual ) ) ),
    inference(constrained_superposition,[],[f80,f91]) ).

thf(f96,plain,
    ( ( $false
      = ( mrel @ mactual @ mactual ) )
    | ( $true = $false ) ),
    inference(duplicate_literal_removal,[],[f95]) ).

thf(f97,plain,
    ( $false
    = ( mrel @ mactual @ mactual ) ),
    inference(trivial_inequality_removal,[],[f96]) ).

thf(f100,plain,
    $true = $false,
    inference(forward_demodulation,[],[f97,f60]) ).

thf(f101,plain,
    $false,
    inference(trivial_inequality_removal,[],[f100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYO887^22 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n009.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Tue Sep 29 17:25:45 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  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
% 0.22/0.30  % (104747)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.30  % (104755)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=481242755: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)
% 0.22/0.30  % (104758)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.30  % (104758)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
% 0.22/0.30  % (104752)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2749477977:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.30  % (104753)lrs+10_16_si=on:nwc=1.5:random_seed=4127255440:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.30  % (104756)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1226725219:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.30  % (104754)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4113599540:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.30  % (104757)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2699223473:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.30  % (104758)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=160978970:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.30  % (104754)Refutation not found, incomplete strategy
% 0.22/0.30  % (104754)------------------------------
% 0.22/0.30  % (104754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30  % (104754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30  % (104754)CaDiCaL version: 2.1.3
% 0.22/0.30  % (104754)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.30  % (104754)Time elapsed: 0.003 s
% 0.22/0.30  % (104754)Peak memory usage: 12 MB
% 0.22/0.30  % (104754)Instructions burned: 4 (million)
% 0.22/0.30  % (104752) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-104747-104752"...
% 0.22/0.30  % (104753) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-104747-104753"...
% 0.22/0.30  % (104754)------------------------------
% 0.22/0.30  % (104754)------------------------------
% 0.22/0.30  % (104757) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-104747-104757"...
% 0.22/0.30  % (104752)...printing done.
% 0.22/0.30  % (104753)...printing done.
% 0.22/0.30  % (104752)Refutation found. Thanks to Tanya!
% 0.22/0.30  % SZS status Theorem for theBenchmark
% 0.22/0.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.30  % (104752)------------------------------
% 0.22/0.30  % (104752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.30  % (104752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.30  % (104752)CaDiCaL version: 2.1.3
% 0.22/0.30  % (104752)Termination reason: Refutation
% 0.22/0.30  % (104752)Time elapsed: 0.005 s
% 0.22/0.30  % (104752)Peak memory usage: 12 MB
% 0.22/0.30  % (104752)Instructions burned: 8 (million)
% 0.22/0.30  % (104747)Success in time 0.042 s
% 0.22/0.30  % Vampire exiting
%------------------------------------------------------------------------------