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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : NLP267^17 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n015.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 08:16:36 AM UTC 2026

% Result   : Theorem 0.19s 0.26s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   61 (  41 unt;   0 typ;   0 def)
%            Number of atoms       :  384 (  73 equ;   0 cnn)
%            Maximal formula atoms :   10 (   6 avg)
%            Number of connectives :  407 (   7   ~;  20   |;  15   &; 332   @)
%                                         (   0 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Number of types       :    4 (   2 usr)
%            Number of type conns  :   35 (  35   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   36 (  32 usr;  10 con; 0-4 aty)
%                                         (   8  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   83 (  71   ^;  12   !;   0   ?;  83   :)

% 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,
    '#b_u': mindex ).

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

thf(func_def_3,type,
    mactual: mworld ).

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

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

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

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

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

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

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

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

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

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

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

thf(func_def_21,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_22,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_23,type,
    vNOT: $o > $o ).

thf(func_def_24,type,
    db1: 
      !>[X0: $tType] : X0 ).

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

thf(func_def_26,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_27,type,
    vOR: $o > $o > $o ).

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

thf(func_def_29,type,
    vIFF: $o > $o > $o ).

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

thf(func_def_31,type,
    db3: 
      !>[X0: $tType] : X0 ).

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

thf(func_def_35,type,
    sK0: mworld ).

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

thf(f3,axiom,
    ( mand
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
          & ( X0 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_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,
    ( mbox
    = ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
        ! [X3: mworld] :
          ( ( mrel @ X0 @ X2 @ X3 )
         => ( X1 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).

thf(f14,axiom,
    mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

thf(f19,axiom,
    mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

thf(f20,conjecture,
    mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(f21,negated_conjecture,
    ~ ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) ),
    inference(negated_conjecture,[status(cth)],[f20]) ).

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

thf(f25,plain,
    ( mand
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
          & ( X0 @ X2 ) ) ) ),
    inference(rectify,[],[f3]) ).

thf(f26,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
          & ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f25]) ).

thf(f29,plain,
    ( mimplies
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X0 @ X2 )
         => ( X1 @ X2 ) ) ) ),
    inference(rectify,[],[f5]) ).

thf(f30,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f29]) ).

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(f47,plain,
    mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ),
    inference(rectify,[],[f14]) ).

thf(f48,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f47]) ).

thf(f57,plain,
    mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ),
    inference(rectify,[],[f19]) ).

thf(f58,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f57]) ).

thf(f59,plain,
    ~ ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) ),
    inference(rectify,[],[f21]) ).

thf(f60,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) )
   != $true ),
    inference(fool_elimination,[],[f59]) ).

thf(f61,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) )
   != $true ),
    inference(flattening,[],[f60]) ).

thf(f66,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[],[f22]) ).

thf(f68,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
          & ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f26]) ).

thf(f70,plain,
    ( mimplies
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
         => ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f30]) ).

thf(f72,plain,
    ( mbox
    = ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
          ( !! @ mworld
          @ ^ [Y3: mworld] :
              ( ( mrel @ Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(cnf_transformation,[],[f34]) ).

thf(f79,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( mimplies @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) @ ( price @ seventy ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f48]) ).

thf(f84,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( mand @ ( dest @ paris ) @ ( class @ second ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f58]) ).

thf(f85,plain,
    ( ( mlocal @ ( mbox @ '#b_s' @ ( price @ seventy ) ) )
   != $true ),
    inference(cnf_transformation,[],[f61]) ).

thf(f89,plain,
    ( $true
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
            ( !! @ mworld
            @ ^ [Y3: mworld] :
                ( ( mrel @ Y0 @ Y2 @ Y3 )
               => ( Y1 @ Y3 ) ) )
        @ '#b_s'
        @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
              ( ( Y0 @ Y2 )
             => ( Y1 @ Y2 ) )
          @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
                ( ( Y0 @ Y2 )
                & ( Y1 @ Y2 ) )
            @ ( dest @ paris )
            @ ( class @ second ) )
          @ ( price @ seventy ) ) ) ) ),
    inference(definition_unfolding,[],[f79,f66,f72,f70,f68]) ).

thf(f94,plain,
    ( $true
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
            ( !! @ mworld
            @ ^ [Y3: mworld] :
                ( ( mrel @ Y0 @ Y2 @ Y3 )
               => ( Y1 @ Y3 ) ) )
        @ '#b_s'
        @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
              ( ( Y0 @ Y2 )
              & ( Y1 @ Y2 ) )
          @ ( dest @ paris )
          @ ( class @ second ) ) ) ) ),
    inference(definition_unfolding,[],[f84,f66,f72,f68]) ).

thf(f95,plain,
    ( $true
   != ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
            ( !! @ mworld
            @ ^ [Y3: mworld] :
                ( ( mrel @ Y0 @ Y2 @ Y3 )
               => ( Y1 @ Y3 ) ) )
        @ '#b_s'
        @ ( price @ seventy ) ) ) ),
    inference(definition_unfolding,[],[f85,f66,f72]) ).

thf(f96,plain,
    ( $true
   != ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b_s' @ mactual @ Y0 )
         => ( price @ seventy @ Y0 ) ) ) ),
    inference(beta-eta_normalization,[],[f95]) ).

thf(f97,plain,
    ( $false
    = ( ^ [Y0: mworld] :
          ( ( mrel @ '#b_s' @ mactual @ Y0 )
         => ( price @ seventy @ Y0 ) )
      @ sK0 ) ),
    inference(sigma_proxy_clausification,[],[f96]) ).

thf(f98,plain,
    ( $false
    = ( ( mrel @ '#b_s' @ mactual @ sK0 )
     => ( price @ seventy @ sK0 ) ) ),
    inference(beta-eta_normalization,[],[f97]) ).

thf(f99,plain,
    ( $false
    = ( price @ seventy @ sK0 ) ),
    inference(imp_proxy_clausification,[],[f98]) ).

thf(f100,plain,
    ( $true
    = ( mrel @ '#b_s' @ mactual @ sK0 ) ),
    inference(imp_proxy_clausification,[],[f98]) ).

thf(f101,plain,
    ( $true
    = ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b_s' @ mactual @ Y0 )
         => ( ( dest @ paris @ Y0 )
            & ( class @ second @ Y0 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f94]) ).

thf(f102,plain,
    ! [X1: mworld] :
      ( $true
      = ( ^ [Y0: mworld] :
            ( ( mrel @ '#b_s' @ mactual @ Y0 )
           => ( ( dest @ paris @ Y0 )
              & ( class @ second @ Y0 ) ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f101]) ).

thf(f103,plain,
    ! [X1: mworld] :
      ( $true
      = ( ( mrel @ '#b_s' @ mactual @ X1 )
       => ( ( dest @ paris @ X1 )
          & ( class @ second @ X1 ) ) ) ),
    inference(beta-eta_normalization,[],[f102]) ).

thf(f104,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ '#b_s' @ mactual @ X1 ) )
      | ( $true
        = ( ( dest @ paris @ X1 )
          & ( class @ second @ X1 ) ) ) ),
    inference(imp_proxy_clausification,[],[f103]) ).

thf(f105,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ '#b_s' @ mactual @ X1 ) )
      | ( $true
        = ( class @ second @ X1 ) ) ),
    inference(and_proxy_clausification,[],[f104]) ).

thf(f106,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ '#b_s' @ mactual @ X1 ) )
      | ( $true
        = ( dest @ paris @ X1 ) ) ),
    inference(and_proxy_clausification,[],[f104]) ).

thf(f131,plain,
    ( $true
    = ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ '#b_s' @ mactual @ Y0 )
         => ( ( ( dest @ paris @ Y0 )
              & ( class @ second @ Y0 ) )
           => ( price @ seventy @ Y0 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f89]) ).

thf(f132,plain,
    ! [X1: mworld] :
      ( $true
      = ( ^ [Y0: mworld] :
            ( ( mrel @ '#b_s' @ mactual @ Y0 )
           => ( ( ( dest @ paris @ Y0 )
                & ( class @ second @ Y0 ) )
             => ( price @ seventy @ Y0 ) ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f131]) ).

thf(f133,plain,
    ! [X1: mworld] :
      ( $true
      = ( ( mrel @ '#b_s' @ mactual @ X1 )
       => ( ( ( dest @ paris @ X1 )
            & ( class @ second @ X1 ) )
         => ( price @ seventy @ X1 ) ) ) ),
    inference(beta-eta_normalization,[],[f132]) ).

thf(f134,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ '#b_s' @ mactual @ X1 ) )
      | ( $true
        = ( ( ( dest @ paris @ X1 )
            & ( class @ second @ X1 ) )
         => ( price @ seventy @ X1 ) ) ) ),
    inference(imp_proxy_clausification,[],[f133]) ).

thf(f135,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ '#b_s' @ mactual @ X1 ) )
      | ( $false
        = ( ( dest @ paris @ X1 )
          & ( class @ second @ X1 ) ) )
      | ( $true
        = ( price @ seventy @ X1 ) ) ),
    inference(imp_proxy_clausification,[],[f134]) ).

thf(f136,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ '#b_s' @ mactual @ X1 ) )
      | ( $false
        = ( class @ second @ X1 ) )
      | ( $true
        = ( price @ seventy @ X1 ) )
      | ( $false
        = ( dest @ paris @ X1 ) ) ),
    inference(and_proxy_clausification,[],[f135]) ).

thf(f155,plain,
    ( ( $true = $false )
    | ( $true
      = ( class @ second @ sK0 ) ) ),
    inference(constrained_superposition,[],[f100,f105]) ).

thf(f158,plain,
    ( $true
    = ( class @ second @ sK0 ) ),
    inference(trivial_inequality_removal,[],[f155]) ).

thf(f221,plain,
    ( ( $true = $false )
    | ( $false
      = ( class @ second @ sK0 ) )
    | ( $true
      = ( price @ seventy @ sK0 ) )
    | ( $false
      = ( dest @ paris @ sK0 ) ) ),
    inference(constrained_superposition,[],[f100,f136]) ).

thf(f224,plain,
    ( ( $false
      = ( class @ second @ sK0 ) )
    | ( $true
      = ( price @ seventy @ sK0 ) )
    | ( $false
      = ( dest @ paris @ sK0 ) ) ),
    inference(trivial_inequality_removal,[],[f221]) ).

thf(f230,plain,
    ( ( $true = $false )
    | ( $true
      = ( price @ seventy @ sK0 ) )
    | ( $false
      = ( dest @ paris @ sK0 ) ) ),
    inference(forward_demodulation,[],[f224,f158]) ).

thf(f231,plain,
    ( ( $true
      = ( price @ seventy @ sK0 ) )
    | ( $false
      = ( dest @ paris @ sK0 ) ) ),
    inference(trivial_inequality_removal,[],[f230]) ).

thf(f245,plain,
    ( ( $true = $false )
    | ( $false
      = ( dest @ paris @ sK0 ) ) ),
    inference(forward_demodulation,[],[f231,f99]) ).

thf(f246,plain,
    ( $false
    = ( dest @ paris @ sK0 ) ),
    inference(trivial_inequality_removal,[],[f245]) ).

thf(f373,plain,
    ( ( $true = $false )
    | ( $true
      = ( dest @ paris @ sK0 ) ) ),
    inference(constrained_superposition,[],[f100,f106]) ).

thf(f376,plain,
    ( $true
    = ( dest @ paris @ sK0 ) ),
    inference(trivial_inequality_removal,[],[f373]) ).

thf(f385,plain,
    $true = $false,
    inference(forward_demodulation,[],[f376,f246]) ).

thf(f386,plain,
    $false,
    inference(trivial_inequality_removal,[],[f385]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : NLP267^17 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n015.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 11:51:33 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.26  % (3428170)Will run a generic schedule for satisfiability detection.
% 0.19/0.26  % (3428179)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2415057006:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.26  % (3428179)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.26  % (3428176)% WARNING: option uhcvi not known.
% 0.19/0.26  % (3428177)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1066211782:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.26  % (3428175)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2415980800_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.26  % (3428179) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3428170-3428179"...
% 0.19/0.26  % (3428176)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1760703691:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.26  % (3428178)dis+10_1_sil=32000:sp=arity:random_seed=3353992154:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.26  % (3428180)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1188663118:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.26  % (3428181)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3885746626:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.26  % (3428176)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.26  % (3428179)...printing done.
% 0.19/0.26  % (3428179)Refutation found. Thanks to Tanya!
% 0.19/0.26  % SZS status Theorem for theBenchmark
% 0.19/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.26  % (3428179)------------------------------
% 0.19/0.26  % (3428179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26  % (3428179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26  % (3428179)CaDiCaL version: 2.1.3
% 0.19/0.26  % (3428179)Termination reason: Refutation
% 0.19/0.26  % (3428179)Time elapsed: 0.008 s
% 0.19/0.26  % (3428179)Peak memory usage: 12 MB
% 0.19/0.26  % (3428179)Instructions burned: 27 (million)
% 0.19/0.26  % (3428170)Success in time 0.034 s
% 0.19/0.26  % Vampire exiting
%------------------------------------------------------------------------------