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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : PUZ150^18 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% 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 08:21:17 AM UTC 2026

% Result   : Theorem 0.24s 0.36s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   51 (  43 unt;   0 typ;   0 def)
%            Number of atoms       :  255 (  46 equ;   0 cnn)
%            Maximal formula atoms :    8 (   5 avg)
%            Number of connectives :  458 (  31   ~;   3   |;  23   &; 346   @)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   23 (  23   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   44 (  39 usr;  11 con; 0-4 aty)
%                                         (  16  !!;  17  ??;   0 @@+;   0 @@-)
%            Number of variables   :  108 (  90   ^;  16   !;   2   ?; 108   :)

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

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

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

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

thf(func_def_1,type,
    '#c': mindex ).

thf(func_def_2,type,
    '#b': mindex ).

thf(func_def_3,type,
    '#a': mindex ).

thf(func_def_4,type,
    mactual: mworld ).

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

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

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

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

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

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

thf(func_def_12,type,
    mbox: mindex > ( mworld > $o ) > mworld > $o ).

thf(func_def_13,type,
    mdia: mindex > ( mworld > $o ) > mworld > $o ).

thf(func_def_14,type,
    c0: mworld > $o ).

thf(func_def_15,type,
    c1: mworld > $o ).

thf(func_def_16,type,
    b0: mworld > $o ).

thf(func_def_17,type,
    c2: mworld > $o ).

thf(func_def_18,type,
    b1: mworld > $o ).

thf(func_def_19,type,
    a0: mworld > $o ).

thf(func_def_20,type,
    b2: mworld > $o ).

thf(func_def_21,type,
    a1: mworld > $o ).

thf(func_def_22,type,
    a2: mworld > $o ).

thf(func_def_23,type,
    cb: mworld > $o ).

thf(func_def_24,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_25,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

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

thf(func_def_27,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_28,type,
    vAND: $o > $o > $o ).

thf(func_def_29,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_30,type,
    vOR: $o > $o > $o ).

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

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

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

thf(func_def_34,type,
    db3: 
      !>[X0: $tType] : X0 ).

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

thf(func_def_38,type,
    sK0: mworld ).

thf(func_def_39,type,
    sK1: mworld ).

thf(func_def_40,type,
    sK2: mworld ).

thf(f1,axiom,
    ( mlocal
    = ( ^ [X0: mworld > $o] : ( X0 @ mactual ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def) ).

thf(f2,axiom,
    ( mnot
    = ( ^ [X0: mworld > $o,X1: mworld] :
          ~ ( X0 @ X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot_def) ).

thf(f7,axiom,
    ( mbox
    = ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
        ! [X3: mworld] :
          ( ( mrel @ X0 @ X2 @ X3 )
         => ( X1 @ X3 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def) ).

thf(f8,axiom,
    ( mdia
    = ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
        ? [X3: mworld] :
          ( ( X1 @ X3 )
          & ( mrel @ X0 @ X2 @ X3 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia_def) ).

thf(f9,axiom,
    ! [X0: mworld,X1: mworld] : ( mrel @ '#c' @ X0 @ X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mrel_#c_universal') ).

thf(f19,axiom,
    mlocal @ a0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a0) ).

thf(f20,conjecture,
    mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

thf(f21,negated_conjecture,
    ~ ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f20]) ).

thf(f22,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(fool_elimination,[],[f1]) ).

thf(f23,plain,
    ( mnot
    = ( ^ [X0: mworld > $o,X1: mworld] :
          ~ ( X0 @ X1 ) ) ),
    inference(rectify,[],[f2]) ).

thf(f24,plain,
    ( mnot
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(fool_elimination,[],[f23]) ).

thf(f33,plain,
    ( mbox
    = ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
        ! [X3: mworld] :
          ( ( mrel @ X0 @ X2 @ X3 )
         => ( X1 @ X3 ) ) ) ),
    inference(rectify,[],[f7]) ).

thf(f34,plain,
    ( mbox
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( !! @ mworld
          @ ^ [Y3: mworld] :
              ( ( mrel @ Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(fool_elimination,[],[f33]) ).

thf(f35,plain,
    ( mdia
    = ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
        ? [X3: mworld] :
          ( ( X1 @ X3 )
          & ( mrel @ X0 @ X2 @ X3 ) ) ) ),
    inference(rectify,[],[f8]) ).

thf(f36,plain,
    ( mdia
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( ?? @ mworld
          @ ^ [Y3: mworld] :
              ( ( mrel @ Y0 @ Y2 @ Y3 )
              & ( Y1 @ Y3 ) ) ) ) ),
    inference(fool_elimination,[],[f35]) ).

thf(f37,plain,
    ! [X0: mworld,X1: mworld] : ( mrel @ '#c' @ X0 @ X1 ),
    inference(rectify,[],[f9]) ).

thf(f38,plain,
    ! [X0: mworld,X1: mworld] :
      ( ( mrel @ '#c' @ X0 @ X1 )
      = $true ),
    inference(fool_elimination,[],[f37]) ).

thf(f57,plain,
    mlocal @ a0,
    inference(rectify,[],[f19]) ).

thf(f58,plain,
    ( ( mlocal @ a0 )
    = $true ),
    inference(fool_elimination,[],[f57]) ).

thf(f59,plain,
    ~ ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) ),
    inference(rectify,[],[f21]) ).

thf(f60,plain,
    ( ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) )
   != $true ),
    inference(fool_elimination,[],[f59]) ).

thf(f61,plain,
    ( ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) )
   != $true ),
    inference(flattening,[],[f60]) ).

thf(f62,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[],[f22]) ).

thf(f63,plain,
    ( mnot
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[],[f24]) ).

thf(f68,plain,
    ( mbox
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( !! @ mworld
          @ ^ [Y3: mworld] :
              ( ( mrel @ Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(cnf_transformation,[],[f34]) ).

thf(f69,plain,
    ( mdia
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( ?? @ mworld
          @ ^ [Y3: mworld] :
              ( ( mrel @ Y0 @ Y2 @ Y3 )
              & ( Y1 @ Y3 ) ) ) ) ),
    inference(cnf_transformation,[],[f36]) ).

thf(f70,plain,
    ! [X0: mworld,X1: mworld] :
      ( ( mrel @ '#c' @ X0 @ X1 )
      = $true ),
    inference(cnf_transformation,[],[f38]) ).

thf(f80,plain,
    ( ( mlocal @ a0 )
    = $true ),
    inference(cnf_transformation,[],[f58]) ).

thf(f81,plain,
    ( ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) )
   != $true ),
    inference(cnf_transformation,[],[f61]) ).

thf(f91,plain,
    ( $true
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ a0 ) ),
    inference(definition_unfolding,[],[f80,f62]) ).

thf(f92,plain,
    ( $true
   != ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
            ( !! @ mworld
            @ ^ [Y3: mworld] :
                ( ( mrel @ Y0 @ Y2 @ Y3 )
               => ( Y1 @ Y3 ) ) )
        @ '#b'
        @ ( ^ [Y0: mworld > $o,Y1: mworld] :
              ~ ( Y0 @ Y1 )
          @ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
                ( ?? @ mworld
                @ ^ [Y3: mworld] :
                    ( ( mrel @ Y0 @ Y2 @ Y3 )
                    & ( Y1 @ Y3 ) ) )
            @ '#a'
            @ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
                  ( ?? @ mworld
                  @ ^ [Y3: mworld] :
                      ( ( mrel @ Y0 @ Y2 @ Y3 )
                      & ( Y1 @ Y3 ) ) )
              @ '#b'
              @ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
                    ( !! @ mworld
                    @ ^ [Y3: mworld] :
                        ( ( mrel @ Y0 @ Y2 @ Y3 )
                       => ( Y1 @ Y3 ) ) )
                @ '#c'
                @ ( ^ [Y0: mworld > $o,Y1: mworld] :
                      ~ ( Y0 @ Y1 )
                  @ a0 ) ) ) ) ) ) ) ),
    inference(definition_unfolding,[],[f81,f62,f68,f63,f69,f69,f68,f63]) ).

thf(f93,plain,
    ( $true
   != ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b' @ mactual @ Y0 )
         => ~ ( ?? @ mworld
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#a' @ Y0 @ Y1 )
                  & ( ?? @ mworld
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#b' @ Y1 @ Y2 )
                        & ( !! @ mworld
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#c' @ Y2 @ Y3 )
                             => ~ ( a0 @ Y3 ) ) ) ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f92]) ).

thf(f94,plain,
    ( $false
    = ( ^ [Y0: mworld] :
          ( ( mrel @ '#b' @ mactual @ Y0 )
         => ~ ( ?? @ mworld
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#a' @ Y0 @ Y1 )
                  & ( ?? @ mworld
                    @ ^ [Y2: mworld] :
                        ( ( mrel @ '#b' @ Y1 @ Y2 )
                        & ( !! @ mworld
                          @ ^ [Y3: mworld] :
                              ( ( mrel @ '#c' @ Y2 @ Y3 )
                             => ~ ( a0 @ Y3 ) ) ) ) ) ) ) )
      @ sK0 ) ),
    inference(sigma_proxy_clausification,[],[f93]) ).

thf(f95,plain,
    ( $false
    = ( ( mrel @ '#b' @ mactual @ sK0 )
     => ~ ( ?? @ mworld
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#a' @ sK0 @ Y0 )
              & ( ?? @ mworld
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#b' @ Y0 @ Y1 )
                    & ( !! @ mworld
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#c' @ Y1 @ Y2 )
                         => ~ ( a0 @ Y2 ) ) ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f94]) ).

thf(f96,plain,
    ( $false
    = ( ~ ( ?? @ mworld
          @ ^ [Y0: mworld] :
              ( ( mrel @ '#a' @ sK0 @ Y0 )
              & ( ?? @ mworld
                @ ^ [Y1: mworld] :
                    ( ( mrel @ '#b' @ Y0 @ Y1 )
                    & ( !! @ mworld
                      @ ^ [Y2: mworld] :
                          ( ( mrel @ '#c' @ Y1 @ Y2 )
                         => ~ ( a0 @ Y2 ) ) ) ) ) ) ) ) ),
    inference(imp_proxy_clausification,[],[f95]) ).

thf(f98,plain,
    ( $true
    = ( ?? @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#a' @ sK0 @ Y0 )
          & ( ?? @ mworld
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#b' @ Y0 @ Y1 )
                & ( !! @ mworld
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#c' @ Y1 @ Y2 )
                     => ~ ( a0 @ Y2 ) ) ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f96]) ).

thf(f99,plain,
    ( $true
    = ( ^ [Y0: mworld] :
          ( ( mrel @ '#a' @ sK0 @ Y0 )
          & ( ?? @ mworld
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#b' @ Y0 @ Y1 )
                & ( !! @ mworld
                  @ ^ [Y2: mworld] :
                      ( ( mrel @ '#c' @ Y1 @ Y2 )
                     => ~ ( a0 @ Y2 ) ) ) ) ) )
      @ sK1 ) ),
    inference(sigma_proxy_clausification,[],[f98]) ).

thf(f100,plain,
    ( $true
    = ( ( mrel @ '#a' @ sK0 @ sK1 )
      & ( ?? @ mworld
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#b' @ sK1 @ Y0 )
            & ( !! @ mworld
              @ ^ [Y1: mworld] :
                  ( ( mrel @ '#c' @ Y0 @ Y1 )
                 => ~ ( a0 @ Y1 ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f99]) ).

thf(f101,plain,
    ( $true
    = ( ?? @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b' @ sK1 @ Y0 )
          & ( !! @ mworld
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#c' @ Y0 @ Y1 )
               => ~ ( a0 @ Y1 ) ) ) ) ) ),
    inference(and_proxy_clausification,[],[f100]) ).

thf(f103,plain,
    ( $true
    = ( ^ [Y0: mworld] :
          ( ( mrel @ '#b' @ sK1 @ Y0 )
          & ( !! @ mworld
            @ ^ [Y1: mworld] :
                ( ( mrel @ '#c' @ Y0 @ Y1 )
               => ~ ( a0 @ Y1 ) ) ) )
      @ sK2 ) ),
    inference(sigma_proxy_clausification,[],[f101]) ).

thf(f104,plain,
    ( $true
    = ( ( mrel @ '#b' @ sK1 @ sK2 )
      & ( !! @ mworld
        @ ^ [Y0: mworld] :
            ( ( mrel @ '#c' @ sK2 @ Y0 )
           => ~ ( a0 @ Y0 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f103]) ).

thf(f105,plain,
    ( $true
    = ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#c' @ sK2 @ Y0 )
         => ~ ( a0 @ Y0 ) ) ) ),
    inference(and_proxy_clausification,[],[f104]) ).

thf(f107,plain,
    ! [X1: mworld] :
      ( $true
      = ( ^ [Y0: mworld] :
            ( ( mrel @ '#c' @ sK2 @ Y0 )
           => ~ ( a0 @ Y0 ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f105]) ).

thf(f108,plain,
    ! [X1: mworld] :
      ( $true
      = ( ( mrel @ '#c' @ sK2 @ X1 )
       => ~ ( a0 @ X1 ) ) ),
    inference(beta-eta_normalization,[],[f107]) ).

thf(f109,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ '#c' @ sK2 @ X1 ) )
      | ( $true
        = ( ~ ( a0 @ X1 ) ) ) ),
    inference(imp_proxy_clausification,[],[f108]) ).

thf(f110,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ '#c' @ sK2 @ X1 ) )
      | ( $false
        = ( a0 @ X1 ) ) ),
    inference(not_proxy_clausification,[],[f109]) ).

thf(f111,plain,
    ( $true
    = ( a0 @ mactual ) ),
    inference(beta-eta_normalization,[],[f91]) ).

thf(f234,plain,
    ! [X0: mworld] :
      ( ( $true = $false )
      | ( $false
        = ( a0 @ X0 ) ) ),
    inference(constrained_superposition,[],[f110,f70]) ).

thf(f235,plain,
    ! [X0: mworld] :
      ( $false
      = ( a0 @ X0 ) ),
    inference(trivial_inequality_removal,[],[f234]) ).

thf(f239,plain,
    $true = $false,
    inference(constrained_superposition,[],[f111,f235]) ).

thf(f240,plain,
    $false,
    inference(trivial_inequality_removal,[],[f239]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : PUZ150^18 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.28  % Computer : n014.cluster.edu
% 0.24/0.28  % Model    : x86_64 x86_64
% 0.24/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.28  % Memory   : 8046.5625MB
% 0.24/0.28  % OS       : Linux 6.8.0-71-generic
% 0.24/0.28  % CPULimit : 300
% 0.24/0.28  % WCLimit  : 300
% 0.24/0.28  % DateTime : Tue Sep 29 13:27:30 UTC 2026
% 0.24/0.28  % CPUTime  : 
% 0.24/0.28  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.31  Running first-order model finding
% 0.24/0.31  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.36  % (2644694)Will run a generic schedule for satisfiability detection.
% 0.24/0.36  % (2644704)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2365012621:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/0.36  % (2644700)% WARNING: option uhcvi not known.
% 0.24/0.36  % (2644704) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2644694-2644704"...
% 0.24/0.36  % (2644702)dis+10_1_sil=32000:sp=arity:random_seed=191252031:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.36  % (2644704)...printing done.
% 0.24/0.36  % (2644699)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=844727171_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/0.36  % (2644701)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=609574631:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.36  % (2644700)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=96625987:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.36  % (2644703)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2956468154:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/0.36  % (2644705)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4068153569:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.24/0.36  % (2644704)Refutation found. Thanks to Tanya!
% 0.24/0.36  % SZS status Theorem for theBenchmark
% 0.24/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.36  % (2644704)------------------------------
% 0.24/0.36  % (2644704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.36  % (2644704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.36  % (2644704)CaDiCaL version: 2.1.3
% 0.24/0.36  % (2644704)Termination reason: Refutation
% 0.24/0.36  % (2644704)Time elapsed: 0.009 s
% 0.24/0.36  % (2644704)Peak memory usage: 12 MB
% 0.24/0.36  % (2644704)Instructions burned: 22 (million)
% 0.24/0.36  % (2644694)Success in time 0.035 s
% 0.24/0.36  % Vampire exiting
%------------------------------------------------------------------------------