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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET614^3 : TPTP v9.3.1. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 08:23:22 AM UTC 2026

% Result   : Theorem 0.22s 0.28s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   68 (  29 unt;   0 typ;   3 def)
%            Number of atoms       :  506 (  99 equ;   0 cnn)
%            Maximal formula atoms :    6 (   7 avg)
%            Number of connectives :  417 (  75   ~;  78   |;  38   &; 223   @)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   39 (  39   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   36 (  33 usr;   6 con; 0-4 aty)
%            Number of variables   :   59 (   0 sgn   9   !;   6   ?;  59   :)

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

thf(func_def_0,type,
    in: $i > ( $i > $o ) > $o ).

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

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

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

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

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

thf(func_def_7,type,
    excl_union: ( $i > $o ) > ( $i > $o ) > $i > $o ).

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

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

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

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

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

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

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

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

thf(func_def_16,type,
    db2: 
      !>[X0: $tType] : X0 ).

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

thf(func_def_18,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_19,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_20,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

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

thf(func_def_22,type,
    vAND: $o > $o > $o ).

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

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

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

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

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

thf(func_def_30,type,
    sK2: $i > $o ).

thf(f6,axiom,
    ( union
    = ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X0 @ X2 )
          | ( X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET008^0.ax',union) ).

thf(f9,axiom,
    ( setminus
    = ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X0 @ X2 )
          & ~ ( X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET008^0.ax',setminus) ).

thf(f15,conjecture,
    ! [X0: $i > $o,X2: $i > $o,X1: $i > $o] :
      ( ( setminus @ ( setminus @ X0 @ X1 ) @ X2 )
      = ( setminus @ X0 @ ( union @ X1 @ X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).

thf(f16,negated_conjecture,
    ~ ! [X0: $i > $o,X2: $i > $o,X1: $i > $o] :
        ( ( setminus @ ( setminus @ X0 @ X1 ) @ X2 )
        = ( setminus @ X0 @ ( union @ X1 @ X2 ) ) ),
    inference(negated_conjecture,[status(cth)],[f15]) ).

thf(f18,plain,
    ( union
    = ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X0 @ X2 )
          | ( X1 @ X2 ) ) ) ),
    inference(rectify,[],[f6]) ).

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

thf(f35,plain,
    ( setminus
    = ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X0 @ X2 )
          & ~ ( X1 @ X2 ) ) ) ),
    inference(rectify,[],[f9]) ).

thf(f36,plain,
    ( setminus
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ~ ( Y1 @ Y2 )
          & ( Y0 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f35]) ).

thf(f39,plain,
    ~ ! [X2: $i > $o,X0: $i > $o,X1: $i > $o] :
        ( ( setminus @ ( setminus @ X0 @ X2 ) @ X1 )
        = ( setminus @ X0 @ ( union @ X2 @ X1 ) ) ),
    inference(rectify,[],[f16]) ).

thf(f40,plain,
    ? [X2: $i > $o,X1: $i > $o,X0: $i > $o] :
      ( ( setminus @ ( setminus @ X0 @ X2 ) @ X1 )
     != ( setminus @ X0 @ ( union @ X2 @ X1 ) ) ),
    inference(ennf_transformation,[],[f39]) ).

thf(f41,plain,
    ? [X0: $i > $o,X1: $i > $o,X2: $i > $o] :
      ( ( setminus @ X2 @ ( union @ X0 @ X1 ) )
     != ( setminus @ ( setminus @ X2 @ X0 ) @ X1 ) ),
    inference(rectify,[],[f40]) ).

thf(f42,plain,
    ( ( setminus @ ( setminus @ sK2 @ sK0 ) @ sK1 )
   != ( setminus @ sK2 @ ( union @ sK0 @ sK1 ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f41]) ).

thf(f47,plain,
    ( ( setminus @ ( setminus @ sK2 @ sK0 ) @ sK1 )
   != ( setminus @ sK2 @ ( union @ sK0 @ sK1 ) ) ),
    inference(cnf_transformation,[],[f42]) ).

thf(f50,plain,
    ( setminus
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ~ ( Y1 @ Y2 )
          & ( Y0 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f36]) ).

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

thf(f61,plain,
    ( ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ~ ( Y1 @ Y2 )
          & ( Y0 @ Y2 ) )
      @ sK2
      @ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
            ( ( Y1 @ Y2 )
            | ( Y0 @ Y2 ) )
        @ sK0
        @ sK1 ) )
   != ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ~ ( Y1 @ Y2 )
          & ( Y0 @ Y2 ) )
      @ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
            ( ~ ( Y1 @ Y2 )
            & ( Y0 @ Y2 ) )
        @ sK2
        @ sK0 )
      @ sK1 ) ),
    inference(definition_unfolding,[],[f47,f50,f50,f50,f51]) ).

thf(f62,plain,
    ( ( ^ [Y0: $i] :
          ( ~ ( ( sK1 @ Y0 )
              | ( sK0 @ Y0 ) )
          & ( sK2 @ Y0 ) ) )
   != ( ^ [Y0: $i] :
          ( ~ ( sK1 @ Y0 )
          & ~ ( sK0 @ Y0 )
          & ( sK2 @ Y0 ) ) ) ),
    inference(beta-eta_normalization,[],[f61]) ).

thf(f63,plain,
    ( ( ^ [Y0: $i] :
          ( ~ ( sK1 @ Y0 )
          & ~ ( sK0 @ Y0 )
          & ( sK2 @ Y0 ) )
      @ sK3 )
   != ( ^ [Y0: $i] :
          ( ~ ( ( sK1 @ Y0 )
              | ( sK0 @ Y0 ) )
          & ( sK2 @ Y0 ) )
      @ sK3 ) ),
    inference(negative_extensionality,[],[f62]) ).

thf(f64,plain,
    ( ( $true
      = ( ^ [Y0: $i] :
            ( ~ ( ( sK1 @ Y0 )
                | ( sK0 @ Y0 ) )
            & ( sK2 @ Y0 ) )
        @ sK3 ) )
    | ( $true
      = ( ^ [Y0: $i] :
            ( ~ ( sK1 @ Y0 )
            & ~ ( sK0 @ Y0 )
            & ( sK2 @ Y0 ) )
        @ sK3 ) ) ),
    inference(xor_proxy_clausification,[],[f63]) ).

thf(f65,plain,
    ( ( $false
      = ( ^ [Y0: $i] :
            ( ~ ( sK1 @ Y0 )
            & ~ ( sK0 @ Y0 )
            & ( sK2 @ Y0 ) )
        @ sK3 ) )
    | ( $false
      = ( ^ [Y0: $i] :
            ( ~ ( ( sK1 @ Y0 )
                | ( sK0 @ Y0 ) )
            & ( sK2 @ Y0 ) )
        @ sK3 ) ) ),
    inference(xor_proxy_clausification,[],[f63]) ).

thf(f66,plain,
    ( ( $false
      = ( ~ ( ( sK1 @ sK3 )
            | ( sK0 @ sK3 ) )
        & ( sK2 @ sK3 ) ) )
    | ( $false
      = ( ~ ( sK1 @ sK3 )
        & ~ ( sK0 @ sK3 )
        & ( sK2 @ sK3 ) ) ) ),
    inference(beta-eta_normalization,[],[f65]) ).

thf(f67,plain,
    ( ( $false
      = ( sK2 @ sK3 ) )
    | ( ( ~ ( ( sK1 @ sK3 )
            | ( sK0 @ sK3 ) ) )
      = $false )
    | ( $false
      = ( ~ ( sK1 @ sK3 )
        & ~ ( sK0 @ sK3 )
        & ( sK2 @ sK3 ) ) ) ),
    inference(and_proxy_clausification,[],[f66]) ).

thf(f68,plain,
    ( ( $false
      = ( ~ ( sK1 @ sK3 )
        & ~ ( sK0 @ sK3 )
        & ( sK2 @ sK3 ) ) )
    | ( $true
      = ( ( sK1 @ sK3 )
        | ( sK0 @ sK3 ) ) )
    | ( $false
      = ( sK2 @ sK3 ) ) ),
    inference(not_proxy_clausification,[],[f67]) ).

thf(f69,plain,
    ( ( $true
      = ( ( sK1 @ sK3 )
        | ( sK0 @ sK3 ) ) )
    | ( $false
      = ( ~ ( sK0 @ sK3 )
        & ( sK2 @ sK3 ) ) )
    | ( $false
      = ( ~ ( sK1 @ sK3 ) ) )
    | ( $false
      = ( sK2 @ sK3 ) ) ),
    inference(and_proxy_clausification,[],[f68]) ).

thf(f70,plain,
    ( ( $false
      = ( ~ ( sK1 @ sK3 ) ) )
    | ( $true
      = ( sK0 @ sK3 ) )
    | ( $false
      = ( ~ ( sK0 @ sK3 )
        & ( sK2 @ sK3 ) ) )
    | ( $false
      = ( sK2 @ sK3 ) )
    | ( $true
      = ( sK1 @ sK3 ) ) ),
    inference(or_proxy_clausification,[],[f69]) ).

thf(f71,plain,
    ( ( $true
      = ( sK0 @ sK3 ) )
    | ( $true
      = ( sK1 @ sK3 ) )
    | ( $true
      = ( sK1 @ sK3 ) )
    | ( $false
      = ( ~ ( sK0 @ sK3 )
        & ( sK2 @ sK3 ) ) )
    | ( $false
      = ( sK2 @ sK3 ) ) ),
    inference(not_proxy_clausification,[],[f70]) ).

thf(f72,plain,
    ( ( $true
      = ( sK1 @ sK3 ) )
    | ( $false
      = ( sK2 @ sK3 ) )
    | ( $true
      = ( sK0 @ sK3 ) )
    | ( $false
      = ( ~ ( sK0 @ sK3 ) ) )
    | ( $true
      = ( sK1 @ sK3 ) )
    | ( $false
      = ( sK2 @ sK3 ) ) ),
    inference(and_proxy_clausification,[],[f71]) ).

thf(f73,plain,
    ( ( $true
      = ( sK1 @ sK3 ) )
    | ( $false
      = ( sK2 @ sK3 ) )
    | ( $true
      = ( sK0 @ sK3 ) )
    | ( $true
      = ( sK1 @ sK3 ) )
    | ( $true
      = ( sK0 @ sK3 ) )
    | ( $false
      = ( sK2 @ sK3 ) ) ),
    inference(not_proxy_clausification,[],[f72]) ).

thf(f74,plain,
    ( ( $true
      = ( sK1 @ sK3 ) )
    | ( $false
      = ( sK2 @ sK3 ) )
    | ( $true
      = ( sK0 @ sK3 ) ) ),
    inference(duplicate_literal_removal,[],[f73]) ).

thf(f75,plain,
    ( ( $true
      = ( ~ ( ( sK1 @ sK3 )
            | ( sK0 @ sK3 ) )
        & ( sK2 @ sK3 ) ) )
    | ( ( ~ ( sK1 @ sK3 )
        & ~ ( sK0 @ sK3 )
        & ( sK2 @ sK3 ) )
      = $true ) ),
    inference(beta-eta_normalization,[],[f64]) ).

thf(f76,plain,
    ( ( $true
      = ( sK2 @ sK3 ) )
    | ( ( ~ ( sK1 @ sK3 )
        & ~ ( sK0 @ sK3 )
        & ( sK2 @ sK3 ) )
      = $true ) ),
    inference(and_proxy_clausification,[],[f75]) ).

thf(f77,plain,
    ( ( ( ~ ( sK1 @ sK3 )
        & ~ ( sK0 @ sK3 )
        & ( sK2 @ sK3 ) )
      = $true )
    | ( ( ~ ( ( sK1 @ sK3 )
            | ( sK0 @ sK3 ) ) )
      = $true ) ),
    inference(and_proxy_clausification,[],[f75]) ).

thf(f78,plain,
    ( ( $true
      = ( ~ ( sK0 @ sK3 )
        & ( sK2 @ sK3 ) ) )
    | ( ( ~ ( ( sK1 @ sK3 )
            | ( sK0 @ sK3 ) ) )
      = $true ) ),
    inference(and_proxy_clausification,[],[f77]) ).

thf(f79,plain,
    ( ( ( ~ ( ( sK1 @ sK3 )
            | ( sK0 @ sK3 ) ) )
      = $true )
    | ( $true
      = ( ~ ( sK1 @ sK3 ) ) ) ),
    inference(and_proxy_clausification,[],[f77]) ).

thf(f80,plain,
    ( ( $false
      = ( ( sK1 @ sK3 )
        | ( sK0 @ sK3 ) ) )
    | ( $true
      = ( ~ ( sK1 @ sK3 ) ) ) ),
    inference(not_proxy_clausification,[],[f79]) ).

thf(f82,plain,
    ( ( $true
      = ( ~ ( sK1 @ sK3 ) ) )
    | ( $false
      = ( sK1 @ sK3 ) ) ),
    inference(or_proxy_clausification,[],[f80]) ).

thf(f83,plain,
    ( ( $false
      = ( sK1 @ sK3 ) )
    | ( $false
      = ( sK1 @ sK3 ) ) ),
    inference(not_proxy_clausification,[],[f82]) ).

thf(f84,plain,
    ( $false
    = ( sK1 @ sK3 ) ),
    inference(duplicate_literal_removal,[],[f83]) ).

thf(f87,plain,
    ( ( ( ~ ( sK0 @ sK3 ) )
      = $true )
    | ( ( ~ ( ( sK1 @ sK3 )
            | ( sK0 @ sK3 ) ) )
      = $true ) ),
    inference(and_proxy_clausification,[],[f78]) ).

thf(f88,plain,
    ( ( $false
      = ( sK0 @ sK3 ) )
    | ( ( ~ ( ( sK1 @ sK3 )
            | ( sK0 @ sK3 ) ) )
      = $true ) ),
    inference(not_proxy_clausification,[],[f87]) ).

thf(f89,plain,
    ( ( $false
      = ( ( sK1 @ sK3 )
        | ( sK0 @ sK3 ) ) )
    | ( $false
      = ( sK0 @ sK3 ) ) ),
    inference(not_proxy_clausification,[],[f88]) ).

thf(f90,plain,
    ( ( $false
      = ( sK0 @ sK3 ) )
    | ( $false
      = ( sK0 @ sK3 ) ) ),
    inference(or_proxy_clausification,[],[f89]) ).

thf(f92,plain,
    ( $false
    = ( sK0 @ sK3 ) ),
    inference(duplicate_literal_removal,[],[f90]) ).

thf(f96,plain,
    ( ( $true
      = ( ~ ( sK0 @ sK3 )
        & ( sK2 @ sK3 ) ) )
    | ( $true
      = ( sK2 @ sK3 ) ) ),
    inference(and_proxy_clausification,[],[f76]) ).

thf(f99,plain,
    ( ( $true
      = ( sK2 @ sK3 ) )
    | ( $true
      = ( sK2 @ sK3 ) ) ),
    inference(and_proxy_clausification,[],[f96]) ).

thf(f102,plain,
    ( $true
    = ( sK2 @ sK3 ) ),
    inference(duplicate_literal_removal,[],[f99]) ).

thf(f104,definition,
    ( spl4_1
  <=> ( $false
      = ( sK2 @ sK3 ) ) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

thf(f105,plain,
    ( ( $false
      = ( sK2 @ sK3 ) )
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f104]) ).

thf(f107,definition,
    ( spl4_2
  <=> ( $true
      = ( sK1 @ sK3 ) ) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

thf(f108,plain,
    ( ( $true
      = ( sK1 @ sK3 ) )
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f107]) ).

thf(f110,definition,
    ( spl4_3
  <=> ( $true
      = ( sK0 @ sK3 ) ) ),
    introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).

thf(f111,plain,
    ( ( $true
      = ( sK0 @ sK3 ) )
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f110]) ).

thf(f112,plain,
    ( spl4_1
    | spl4_2
    | spl4_3 ),
    inference(avatar_split_clause,[],[f74,f110,f107,f104]) ).

thf(f113,plain,
    ( ( $false = $true )
    | ~ spl4_2 ),
    inference(forward_demodulation,[],[f108,f84]) ).

thf(f114,plain,
    ( $false
    | ~ spl4_2 ),
    inference(trivial_inequality_removal,[],[f113]) ).

thf(f115,plain,
    ~ spl4_2,
    inference(avatar_contradiction_clause,[],[f114]) ).

thf(f116,plain,
    ( ( $false = $true )
    | ~ spl4_3 ),
    inference(forward_demodulation,[],[f111,f92]) ).

thf(f117,plain,
    ( $false
    | ~ spl4_3 ),
    inference(trivial_inequality_removal,[],[f116]) ).

thf(f118,plain,
    ~ spl4_3,
    inference(avatar_contradiction_clause,[],[f117]) ).

thf(f119,plain,
    ( ( $false = $true )
    | ~ spl4_1 ),
    inference(backward_demodulation,[],[f102,f105]) ).

thf(f120,plain,
    ( $false
    | ~ spl4_1 ),
    inference(trivial_inequality_removal,[],[f119]) ).

thf(f121,plain,
    ~ spl4_1,
    inference(avatar_contradiction_clause,[],[f120]) ).

cnf(s1,plain,
    ( spl4_1
    | spl4_2
    | spl4_3 ),
    inference(sat_conversion,[],[f112]) ).

cnf(s2,plain,
    ~ spl4_2,
    inference(sat_conversion,[],[f115]) ).

cnf(s3,plain,
    ~ spl4_3,
    inference(sat_conversion,[],[f118]) ).

cnf(s4,plain,
    ~ spl4_1,
    inference(sat_conversion,[],[f121]) ).

cnf(s5,plain,
    $false,
    inference(rat,[],[s1,s3,s2,s4]) ).

thf(f122,plain,
    $false,
    inference(avatar_sat_refutation,[],[s5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET614^3 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n004.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Tue Sep 29 13:39:07 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running higher-order theorem proving
% 0.09/0.24  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
% 0.22/0.28  % (1294577)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.28  % (1294587)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1057405480:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.28  % (1294587) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1294577-1294587"...
% 0.22/0.28  % (1294588)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.28  % (1294588)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
% 0.22/0.28  % (1294587)...printing done.
% 0.22/0.28  % (1294587)Refutation found. Thanks to Tanya!
% 0.22/0.28  % SZS status Theorem for theBenchmark
% 0.22/0.28  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.28  % (1294587)------------------------------
% 0.22/0.28  % (1294587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28  % (1294587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28  % (1294587)CaDiCaL version: 2.1.3
% 0.22/0.28  % (1294587)Termination reason: Refutation
% 0.22/0.28  % (1294587)Time elapsed: 0.003 s
% 0.22/0.28  % (1294587)Peak memory usage: 13 MB
% 0.22/0.28  % (1294587)Instructions burned: 7 (million)
% 0.22/0.28  % (1294577)Success in time 0.037 s
% 0.22/0.28  % Vampire exiting
%------------------------------------------------------------------------------