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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYO932^8 : 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 : n001.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 08:48:41 AM UTC 2026

% Result   : Theorem 0.22s 0.29s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   54 (  47 unt;   0 typ;   0 def)
%            Number of atoms       :  277 (  54 equ;   0 cnn)
%            Maximal formula atoms :    6 (   5 avg)
%            Number of connectives :  410 (  19   ~;  13   |;   0   &; 322   @)
%                                         (   0 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   2 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   87 (  87   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   39 (  35 usr;   6 con; 0-4 aty)
%                                         (  35  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  158 ( 133   ^;  21   !;   4   ?; 158   :)

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

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

thf(func_def_1,type,
    prop_a: $i > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(func_def_20,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_21,type,
    vIMP: $o > $o > $o ).

thf(func_def_22,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_23,type,
    db1: 
      !>[X0: $tType] : X0 ).

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

thf(func_def_25,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_26,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

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

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

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

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

thf(func_def_33,type,
    sK0: individuals > $i > $o ).

thf(func_def_34,type,
    sK1: $i > $i > $o ).

thf(func_def_36,type,
    sK3: individuals ).

thf(f3,axiom,
    ( ( ^ [X0: $i > $o,X1: $i] :
          ~ ( X0 @ X1 ) )
    = mnot ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mnot) ).

thf(f4,axiom,
    ( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X1 @ X2 )
          | ( X0 @ X2 ) ) )
    = mor ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mor) ).

thf(f6,axiom,
    ( ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) )
    = mimpl ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mimpl) ).

thf(f8,axiom,
    ( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
        ! [X3: $i] :
          ( ( X0 @ X2 @ X3 )
         => ( X1 @ X3 ) ) )
    = mbox ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mbox) ).

thf(f10,axiom,
    ( ( ^ [X0: individuals > $i > $o,X1: $i] :
        ! [X2: individuals] : ( X0 @ X2 @ X1 ) )
    = mall ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mall) ).

thf(f12,axiom,
    ( ( ^ [X0: $i > $o] :
        ! [X1: $i] : ( X0 @ X1 ) )
    = mvalid ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL008^0.ax',mvalid) ).

thf(f16,conjecture,
    ! [X0: $i > $i > $o,X1: individuals > $i > $o] :
      ( mvalid
      @ ( mimpl
        @ ( mbox @ X0
          @ ( mall
            @ ^ [X2: individuals] : ( X1 @ X2 ) ) )
        @ ( mall
          @ ^ [X2: individuals] : ( mbox @ X0 @ ( X1 @ X2 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).

thf(f17,negated_conjecture,
    ~ ! [X0: $i > $i > $o,X1: individuals > $i > $o] :
        ( mvalid
        @ ( mimpl
          @ ( mbox @ X0
            @ ( mall
              @ ^ [X2: individuals] : ( X1 @ X2 ) ) )
          @ ( mall
            @ ^ [X2: individuals] : ( mbox @ X0 @ ( X1 @ X2 ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f16]) ).

thf(f18,plain,
    ( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
        ! [X3: $i] :
          ( ( X0 @ X2 @ X3 )
         => ( X1 @ X3 ) ) )
    = mbox ),
    inference(rectify,[],[f8]) ).

thf(f19,plain,
    ( mbox
    = ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
          ( !! @ $i
          @ ^ [Y3: $i] :
              ( ( Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(fool_elimination,[],[f18]) ).

thf(f20,plain,
    ( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X1 @ X2 )
          | ( X0 @ X2 ) ) )
    = mor ),
    inference(rectify,[],[f4]) ).

thf(f21,plain,
    ( mor
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          | ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f20]) ).

thf(f25,plain,
    ~ ! [X0: $i > $i > $o,X1: individuals > $i > $o] :
        ( mvalid
        @ ( mimpl
          @ ( mbox @ X0
            @ ( mall
              @ ^ [X2: individuals] : ( X1 @ X2 ) ) )
          @ ( mall
            @ ^ [X3: individuals] : ( mbox @ X0 @ ( X1 @ X3 ) ) ) ) ),
    inference(rectify,[],[f17]) ).

thf(f26,plain,
    ~ ! [X1: individuals > $i > $o,X0: $i > $i > $o] :
        ( $true
        = ( mvalid
          @ ( mimpl
            @ ( mbox @ X0
              @ ( mall
                @ ^ [Y0: individuals] : ( X1 @ Y0 ) ) )
            @ ( mall
              @ ^ [Y0: individuals] : ( mbox @ X0 @ ( X1 @ Y0 ) ) ) ) ) ),
    inference(fool_elimination,[],[f25]) ).

thf(f31,plain,
    ( mimpl
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
    inference(fool_elimination,[],[f6]) ).

thf(f32,plain,
    ( ( ^ [X0: individuals > $i > $o,X1: $i] :
        ! [X2: individuals] : ( X0 @ X2 @ X1 ) )
    = mall ),
    inference(rectify,[],[f10]) ).

thf(f33,plain,
    ( mall
    = ( ^ [Y0: individuals > $i > $o,Y1: $i] :
          ( !! @ individuals
          @ ^ [Y2: individuals] : ( Y0 @ Y2 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f32]) ).

thf(f36,plain,
    ( ( ^ [X0: $i > $o,X1: $i] :
          ~ ( X0 @ X1 ) )
    = mnot ),
    inference(rectify,[],[f3]) ).

thf(f37,plain,
    ( mnot
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(fool_elimination,[],[f36]) ).

thf(f38,plain,
    ( ( ^ [X0: $i > $o] :
        ! [X1: $i] : ( X0 @ X1 ) )
    = mvalid ),
    inference(rectify,[],[f12]) ).

thf(f39,plain,
    ( mvalid
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f38]) ).

thf(f46,plain,
    ? [X1: individuals > $i > $o,X0: $i > $i > $o] :
      ( $true
     != ( mvalid
        @ ( mimpl
          @ ( mbox @ X0
            @ ( mall
              @ ^ [Y0: individuals] : ( X1 @ Y0 ) ) )
          @ ( mall
            @ ^ [Y0: individuals] : ( mbox @ X0 @ ( X1 @ Y0 ) ) ) ) ) ),
    inference(ennf_transformation,[],[f26]) ).

thf(f47,plain,
    ? [X0: individuals > $i > $o,X1: $i > $i > $o] :
      ( ( mvalid
        @ ( mimpl
          @ ( mbox @ X1
            @ ( mall
              @ ^ [Y0: individuals] : ( X0 @ Y0 ) ) )
          @ ( mall
            @ ^ [Y0: individuals] : ( mbox @ X1 @ ( X0 @ Y0 ) ) ) ) )
     != $true ),
    inference(rectify,[],[f46]) ).

thf(f48,plain,
    ( $true
   != ( mvalid
      @ ( mimpl
        @ ( mbox @ sK1
          @ ( mall
            @ ^ [Y0: individuals] : ( sK0 @ Y0 ) ) )
        @ ( mall
          @ ^ [Y0: individuals] : ( mbox @ sK1 @ ( sK0 @ Y0 ) ) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f47]) ).

thf(f49,plain,
    ( mimpl
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
    inference(cnf_transformation,[],[f31]) ).

thf(f51,plain,
    ( mbox
    = ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
          ( !! @ $i
          @ ^ [Y3: $i] :
              ( ( Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(cnf_transformation,[],[f19]) ).

thf(f53,plain,
    ( mall
    = ( ^ [Y0: individuals > $i > $o,Y1: $i] :
          ( !! @ individuals
          @ ^ [Y2: individuals] : ( Y0 @ Y2 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f33]) ).

thf(f59,plain,
    ( mvalid
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f39]) ).

thf(f60,plain,
    ( mnot
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[],[f37]) ).

thf(f61,plain,
    ( $true
   != ( mvalid
      @ ( mimpl
        @ ( mbox @ sK1
          @ ( mall
            @ ^ [Y0: individuals] : ( sK0 @ Y0 ) ) )
        @ ( mall
          @ ^ [Y0: individuals] : ( mbox @ sK1 @ ( sK0 @ Y0 ) ) ) ) ) ),
    inference(cnf_transformation,[],[f48]) ).

thf(f63,plain,
    ( mor
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          | ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f21]) ).

thf(f67,plain,
    ( mimpl
    = ( ^ [Y0: $i > $o,Y1: $i > $o] :
          ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
              ( ( Y2 @ Y4 )
              | ( Y3 @ Y4 ) )
          @ ( ^ [Y2: $i > $o,Y3: $i] :
                ~ ( Y2 @ Y3 )
            @ Y0 )
          @ Y1 ) ) ),
    inference(definition_unfolding,[],[f49,f63,f60]) ).

thf(f69,plain,
    ( $true
   != ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) )
      @ ( ^ [Y0: $i > $o,Y1: $i > $o] :
            ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
                ( ( Y2 @ Y4 )
                | ( Y3 @ Y4 ) )
            @ ( ^ [Y2: $i > $o,Y3: $i] :
                  ~ ( Y2 @ Y3 )
              @ Y0 )
            @ Y1 )
        @ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
              ( !! @ $i
              @ ^ [Y3: $i] :
                  ( ( Y0 @ Y2 @ Y3 )
                 => ( Y1 @ Y3 ) ) )
          @ sK1
          @ ( ^ [Y0: individuals > $i > $o,Y1: $i] :
                ( !! @ individuals
                @ ^ [Y2: individuals] : ( Y0 @ Y2 @ Y1 ) )
            @ ^ [Y0: individuals] : ( sK0 @ Y0 ) ) )
        @ ( ^ [Y0: individuals > $i > $o,Y1: $i] :
              ( !! @ individuals
              @ ^ [Y2: individuals] : ( Y0 @ Y2 @ Y1 ) )
          @ ^ [Y0: individuals] :
              ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
                  ( !! @ $i
                  @ ^ [Y4: $i] :
                      ( ( Y1 @ Y3 @ Y4 )
                     => ( Y2 @ Y4 ) ) )
              @ sK1
              @ ( sK0 @ Y0 ) ) ) ) ) ),
    inference(definition_unfolding,[],[f61,f59,f67,f51,f53,f53,f51]) ).

thf(f70,plain,
    ( $true
   != ( !! @ $i
      @ ^ [Y0: $i] :
          ( ~ ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( sK1 @ Y0 @ Y1 )
                 => ( !! @ individuals
                    @ ^ [Y2: individuals] : ( sK0 @ Y2 @ Y1 ) ) ) )
          | ( !! @ individuals
            @ ^ [Y1: individuals] :
                ( !! @ $i
                @ ^ [Y2: $i] :
                    ( ( sK1 @ Y0 @ Y2 )
                   => ( sK0 @ Y1 @ Y2 ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f69]) ).

thf(f71,plain,
    ( $false
    = ( ^ [Y0: $i] :
          ( ~ ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( sK1 @ Y0 @ Y1 )
                 => ( !! @ individuals
                    @ ^ [Y2: individuals] : ( sK0 @ Y2 @ Y1 ) ) ) )
          | ( !! @ individuals
            @ ^ [Y1: individuals] :
                ( !! @ $i
                @ ^ [Y2: $i] :
                    ( ( sK1 @ Y0 @ Y2 )
                   => ( sK0 @ Y1 @ Y2 ) ) ) ) )
      @ sK2 ) ),
    inference(sigma_proxy_clausification,[],[f70]) ).

thf(f72,plain,
    ( ( ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( sK1 @ sK2 @ Y0 )
             => ( !! @ individuals
                @ ^ [Y1: individuals] : ( sK0 @ Y1 @ Y0 ) ) ) )
      | ( !! @ individuals
        @ ^ [Y0: individuals] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( sK1 @ sK2 @ Y1 )
               => ( sK0 @ Y0 @ Y1 ) ) ) ) )
    = $false ),
    inference(beta-eta_normalization,[],[f71]) ).

thf(f73,plain,
    ( $false
    = ( !! @ individuals
      @ ^ [Y0: individuals] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ( sK1 @ sK2 @ Y1 )
             => ( sK0 @ Y0 @ Y1 ) ) ) ) ),
    inference(or_proxy_clausification,[],[f72]) ).

thf(f74,plain,
    ( $false
    = ( ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( sK1 @ sK2 @ Y0 )
             => ( !! @ individuals
                @ ^ [Y1: individuals] : ( sK0 @ Y1 @ Y0 ) ) ) ) ) ),
    inference(or_proxy_clausification,[],[f72]) ).

thf(f75,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( ( sK1 @ sK2 @ Y0 )
         => ( !! @ individuals
            @ ^ [Y1: individuals] : ( sK0 @ Y1 @ Y0 ) ) ) )
    = $true ),
    inference(not_proxy_clausification,[],[f74]) ).

thf(f76,plain,
    ! [X1: $i] :
      ( ( ^ [Y0: $i] :
            ( ( sK1 @ sK2 @ Y0 )
           => ( !! @ individuals
              @ ^ [Y1: individuals] : ( sK0 @ Y1 @ Y0 ) ) )
        @ X1 )
      = $true ),
    inference(pi_proxy_clausification,[],[f75]) ).

thf(f77,plain,
    ! [X1: $i] :
      ( ( ( sK1 @ sK2 @ X1 )
       => ( !! @ individuals
          @ ^ [Y0: individuals] : ( sK0 @ Y0 @ X1 ) ) )
      = $true ),
    inference(beta-eta_normalization,[],[f76]) ).

thf(f78,plain,
    ! [X1: $i] :
      ( ( $false
        = ( sK1 @ sK2 @ X1 ) )
      | ( ( !! @ individuals
          @ ^ [Y0: individuals] : ( sK0 @ Y0 @ X1 ) )
        = $true ) ),
    inference(imp_proxy_clausification,[],[f77]) ).

thf(f79,plain,
    ! [X2: individuals,X1: $i] :
      ( ( $false
        = ( sK1 @ sK2 @ X1 ) )
      | ( $true
        = ( ^ [Y0: individuals] : ( sK0 @ Y0 @ X1 )
          @ X2 ) ) ),
    inference(pi_proxy_clausification,[],[f78]) ).

thf(f80,plain,
    ! [X2: individuals,X1: $i] :
      ( ( $true
        = ( sK0 @ X2 @ X1 ) )
      | ( $false
        = ( sK1 @ sK2 @ X1 ) ) ),
    inference(beta-eta_normalization,[],[f79]) ).

thf(f81,plain,
    ( $false
    = ( ^ [Y0: individuals] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ( sK1 @ sK2 @ Y1 )
             => ( sK0 @ Y0 @ Y1 ) ) )
      @ sK3 ) ),
    inference(sigma_proxy_clausification,[],[f73]) ).

thf(f82,plain,
    ( $false
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( ( sK1 @ sK2 @ Y0 )
         => ( sK0 @ sK3 @ Y0 ) ) ) ),
    inference(beta-eta_normalization,[],[f81]) ).

thf(f83,plain,
    ( ( ^ [Y0: $i] :
          ( ( sK1 @ sK2 @ Y0 )
         => ( sK0 @ sK3 @ Y0 ) )
      @ sK4 )
    = $false ),
    inference(sigma_proxy_clausification,[],[f82]) ).

thf(f84,plain,
    ( ( ( sK1 @ sK2 @ sK4 )
     => ( sK0 @ sK3 @ sK4 ) )
    = $false ),
    inference(beta-eta_normalization,[],[f83]) ).

thf(f85,plain,
    ( $false
    = ( sK0 @ sK3 @ sK4 ) ),
    inference(imp_proxy_clausification,[],[f84]) ).

thf(f86,plain,
    ( ( sK1 @ sK2 @ sK4 )
    = $true ),
    inference(imp_proxy_clausification,[],[f84]) ).

thf(f88,plain,
    ( ( $false = $true )
    | ( ( sK1 @ sK2 @ sK4 )
      = $false ) ),
    inference(constrained_superposition,[],[f85,f80]) ).

thf(f89,plain,
    ( ( sK1 @ sK2 @ sK4 )
    = $false ),
    inference(trivial_inequality_removal,[],[f88]) ).

thf(f91,plain,
    $false = $true,
    inference(forward_demodulation,[],[f89,f86]) ).

thf(f92,plain,
    $false,
    inference(trivial_inequality_removal,[],[f91]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYO932^8 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n001.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 17:34:06 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running higher-order theorem proving
% 0.08/0.25  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
% 0.22/0.29  % (1562877)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.29  % (1562889)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3391715022:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.29  % (1562889) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1562877-1562889"...
% 0.22/0.29  % (1562889)...printing done.
% 0.22/0.29  % (1562889)Refutation found. Thanks to Tanya!
% 0.22/0.29  % SZS status Theorem for theBenchmark
% 0.22/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.29  % (1562889)------------------------------
% 0.22/0.29  % (1562889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29  % (1562889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29  % (1562889)CaDiCaL version: 2.1.3
% 0.22/0.29  % (1562889)Termination reason: Refutation
% 0.22/0.29  % (1562889)Time elapsed: 0.003 s
% 0.22/0.29  % (1562889)Peak memory usage: 12 MB
% 0.22/0.29  % (1562889)Instructions burned: 7 (million)
% 0.22/0.29  % (1562877)Success in time 0.037 s
% 0.22/0.29  % Vampire exiting
%------------------------------------------------------------------------------