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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : DAT334^19 : 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 07:49:12 AM UTC 2026

% Result   : Theorem 0.19s 0.29s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   64 (  37 unt;   0 typ;   2 def)
%            Number of atoms       :  404 (  61 equ;   0 cnn)
%            Maximal formula atoms :   17 (   6 avg)
%            Number of connectives :  519 (  18   ~;  22   |;  41   &; 404   @)
%                                         (   2 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   37 (  37   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   42 (  37 usr;  14 con; 0-4 aty)
%                                         (   6  !!;  14  ??;   0 @@+;   0 @@-)
%            Number of variables   :  102 (   0 sgn  14   !;   2   ?; 102   :)

% 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_20,type,
    teach: $i > $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,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_34,type,
    sK0: mworld > $i ).

thf(func_def_35,type,
    sK1: mworld ).

thf(func_def_36,type,
    sK2: mworld > $i ).

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

thf(f12,axiom,
    ( mexists_di
    = ( ^ [X0: $i > mworld > $o,X1: mworld] :
        ? [X2: $i] :
          ( ( X0 @ X2 @ X1 )
          & ( eiw_di @ X2 @ X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di_def) ).

thf(f13,axiom,
    ( mlocal
    @ ( mbox
      @ ( mand @ ( teach @ john @ math )
        @ ( mand
          @ ( mexists_di
            @ ^ [X0: $i] : ( teach @ X0 @ cs ) )
          @ ( mand @ ( teach @ mary @ psych ) @ ( teach @ sue @ psych ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',db) ).

thf(f14,conjecture,
    ( mlocal
    @ ( mbox
      @ ( mexists_di
        @ ^ [X0: $i] : ( teach @ X0 @ cs ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query) ).

thf(f15,negated_conjecture,
    ~ ( mlocal
      @ ( mbox
        @ ( mexists_di
          @ ^ [X0: $i] : ( teach @ X0 @ cs ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f14]) ).

thf(f16,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(fool_elimination,[],[f1]) ).

thf(f19,plain,
    ( mand
    = ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
          ( ( X1 @ X2 )
          & ( X0 @ X2 ) ) ) ),
    inference(rectify,[],[f3]) ).

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

thf(f27,plain,
    ( mbox
    = ( ^ [X0: mworld > $o,X1: mworld] :
        ! [X2: mworld] :
          ( ( mrel @ X1 @ X2 )
         => ( X0 @ X2 ) ) ) ),
    inference(rectify,[],[f7]) ).

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

thf(f37,plain,
    ( mexists_di
    = ( ^ [X0: $i > mworld > $o,X1: mworld] :
        ? [X2: $i] :
          ( ( X0 @ X2 @ X1 )
          & ( eiw_di @ X2 @ X1 ) ) ) ),
    inference(rectify,[],[f12]) ).

thf(f38,plain,
    ( mexists_di
    = ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
          ( ?? @ $i
          @ ^ [Y2: $i] :
              ( ( eiw_di @ Y2 @ Y1 )
              & ( Y0 @ Y2 @ Y1 ) ) ) ) ),
    inference(fool_elimination,[],[f37]) ).

thf(f39,plain,
    ( mlocal
    @ ( mbox
      @ ( mand @ ( teach @ john @ math )
        @ ( mand
          @ ( mexists_di
            @ ^ [X0: $i] : ( teach @ X0 @ cs ) )
          @ ( mand @ ( teach @ mary @ psych ) @ ( teach @ sue @ psych ) ) ) ) ) ),
    inference(rectify,[],[f13]) ).

thf(f40,plain,
    ( $true
    = ( mlocal
      @ ( mbox
        @ ( mand @ ( teach @ john @ math )
          @ ( mand
            @ ( mexists_di
              @ ^ [Y0: $i] : ( teach @ Y0 @ cs ) )
            @ ( mand @ ( teach @ mary @ psych ) @ ( teach @ sue @ psych ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f39]) ).

thf(f41,plain,
    ~ ( mlocal
      @ ( mbox
        @ ( mexists_di
          @ ^ [X0: $i] : ( teach @ X0 @ cs ) ) ) ),
    inference(rectify,[],[f15]) ).

thf(f42,plain,
    ( $true
   != ( mlocal
      @ ( mbox
        @ ( mexists_di
          @ ^ [Y0: $i] : ( teach @ Y0 @ cs ) ) ) ) ),
    inference(fool_elimination,[],[f41]) ).

thf(f43,plain,
    ( $true
   != ( mlocal
      @ ( mbox
        @ ( mexists_di
          @ ^ [Y0: $i] : ( teach @ Y0 @ cs ) ) ) ) ),
    inference(flattening,[],[f42]) ).

thf(f47,plain,
    ( mlocal
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
    inference(cnf_transformation,[],[f16]) ).

thf(f49,plain,
    ( mand
    = ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
          ( ( Y0 @ Y2 )
          & ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f20]) ).

thf(f53,plain,
    ( mbox
    = ( ^ [Y0: mworld > $o,Y1: mworld] :
          ( !! @ mworld
          @ ^ [Y2: mworld] :
              ( ( mrel @ Y1 @ Y2 )
             => ( Y0 @ Y2 ) ) ) ) ),
    inference(cnf_transformation,[],[f28]) ).

thf(f58,plain,
    ( mexists_di
    = ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
          ( ?? @ $i
          @ ^ [Y2: $i] :
              ( ( eiw_di @ Y2 @ Y1 )
              & ( Y0 @ Y2 @ Y1 ) ) ) ) ),
    inference(cnf_transformation,[],[f38]) ).

thf(f59,plain,
    ( $true
    = ( mlocal
      @ ( mbox
        @ ( mand @ ( teach @ john @ math )
          @ ( mand
            @ ( mexists_di
              @ ^ [Y0: $i] : ( teach @ Y0 @ cs ) )
            @ ( mand @ ( teach @ mary @ psych ) @ ( teach @ sue @ psych ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f40]) ).

thf(f60,plain,
    ( $true
   != ( mlocal
      @ ( mbox
        @ ( mexists_di
          @ ^ [Y0: $i] : ( teach @ Y0 @ cs ) ) ) ) ),
    inference(cnf_transformation,[],[f43]) ).

thf(f63,plain,
    ( $true
    = ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mworld > $o,Y1: mworld] :
            ( !! @ mworld
            @ ^ [Y2: mworld] :
                ( ( mrel @ Y1 @ Y2 )
               => ( Y0 @ Y2 ) ) )
        @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
              ( ( Y0 @ Y2 )
              & ( Y1 @ Y2 ) )
          @ ( teach @ john @ math )
          @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
                ( ( Y0 @ Y2 )
                & ( Y1 @ Y2 ) )
            @ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
                  ( ?? @ $i
                  @ ^ [Y2: $i] :
                      ( ( eiw_di @ Y2 @ Y1 )
                      & ( Y0 @ Y2 @ Y1 ) ) )
              @ ^ [Y0: $i] : ( teach @ Y0 @ cs ) )
            @ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
                  ( ( Y0 @ Y2 )
                  & ( Y1 @ Y2 ) )
              @ ( teach @ mary @ psych )
              @ ( teach @ sue @ psych ) ) ) ) ) ) ),
    inference(definition_unfolding,[],[f59,f47,f53,f49,f49,f58,f49]) ).

thf(f64,plain,
    ( $true
   != ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
      @ ( ^ [Y0: mworld > $o,Y1: mworld] :
            ( !! @ mworld
            @ ^ [Y2: mworld] :
                ( ( mrel @ Y1 @ Y2 )
               => ( Y0 @ Y2 ) ) )
        @ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
              ( ?? @ $i
              @ ^ [Y2: $i] :
                  ( ( eiw_di @ Y2 @ Y1 )
                  & ( Y0 @ Y2 @ Y1 ) ) )
          @ ^ [Y0: $i] : ( teach @ Y0 @ cs ) ) ) ) ),
    inference(definition_unfolding,[],[f60,f47,f53,f58]) ).

thf(f65,plain,
    ( $true
   != ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ Y0 )
                & ( teach @ Y1 @ cs @ Y0 ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f64]) ).

thf(f66,plain,
    ( $false
    = ( ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( ?? @ $i
            @ ^ [Y1: $i] :
                ( ( eiw_di @ Y1 @ Y0 )
                & ( teach @ Y1 @ cs @ Y0 ) ) ) )
      @ sK1 ) ),
    inference(sigma_proxy_clausification,[],[f65]) ).

thf(f67,plain,
    ( $false
    = ( ( mrel @ mactual @ sK1 )
     => ( ?? @ $i
        @ ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ sK1 )
            & ( teach @ Y0 @ cs @ sK1 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f66]) ).

thf(f68,plain,
    ( $false
    = ( ?? @ $i
      @ ^ [Y0: $i] :
          ( ( eiw_di @ Y0 @ sK1 )
          & ( teach @ Y0 @ cs @ sK1 ) ) ) ),
    inference(imp_proxy_clausification,[],[f67]) ).

thf(f69,plain,
    ( $true
    = ( mrel @ mactual @ sK1 ) ),
    inference(imp_proxy_clausification,[],[f67]) ).

thf(f70,plain,
    ! [X1: $i] :
      ( $false
      = ( ^ [Y0: $i] :
            ( ( eiw_di @ Y0 @ sK1 )
            & ( teach @ Y0 @ cs @ sK1 ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f68]) ).

thf(f71,plain,
    ! [X1: $i] :
      ( $false
      = ( ( eiw_di @ X1 @ sK1 )
        & ( teach @ X1 @ cs @ sK1 ) ) ),
    inference(beta-eta_normalization,[],[f70]) ).

thf(f72,plain,
    ! [X1: $i] :
      ( ( $false
        = ( teach @ X1 @ cs @ sK1 ) )
      | ( $false
        = ( eiw_di @ X1 @ sK1 ) ) ),
    inference(and_proxy_clausification,[],[f71]) ).

thf(f73,plain,
    ( $true
    = ( !! @ mworld
      @ ^ [Y0: mworld] :
          ( ( mrel @ mactual @ Y0 )
         => ( ( teach @ john @ math @ Y0 )
            & ( ?? @ $i
              @ ^ [Y1: $i] :
                  ( ( eiw_di @ Y1 @ Y0 )
                  & ( teach @ Y1 @ cs @ Y0 ) ) )
            & ( teach @ mary @ psych @ Y0 )
            & ( teach @ sue @ psych @ Y0 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f63]) ).

thf(f74,plain,
    ! [X1: mworld] :
      ( $true
      = ( ^ [Y0: mworld] :
            ( ( mrel @ mactual @ Y0 )
           => ( ( teach @ john @ math @ Y0 )
              & ( ?? @ $i
                @ ^ [Y1: $i] :
                    ( ( eiw_di @ Y1 @ Y0 )
                    & ( teach @ Y1 @ cs @ Y0 ) ) )
              & ( teach @ mary @ psych @ Y0 )
              & ( teach @ sue @ psych @ Y0 ) ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f73]) ).

thf(f75,plain,
    ! [X1: mworld] :
      ( $true
      = ( ( mrel @ mactual @ X1 )
       => ( ( teach @ john @ math @ X1 )
          & ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ X1 )
                & ( teach @ Y0 @ cs @ X1 ) ) )
          & ( teach @ mary @ psych @ X1 )
          & ( teach @ sue @ psych @ X1 ) ) ) ),
    inference(beta-eta_normalization,[],[f74]) ).

thf(f76,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ mactual @ X1 ) )
      | ( $true
        = ( ( teach @ john @ math @ X1 )
          & ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ X1 )
                & ( teach @ Y0 @ cs @ X1 ) ) )
          & ( teach @ mary @ psych @ X1 )
          & ( teach @ sue @ psych @ X1 ) ) ) ),
    inference(imp_proxy_clausification,[],[f75]) ).

thf(f77,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ mactual @ X1 ) )
      | ( $true
        = ( ( ?? @ $i
            @ ^ [Y0: $i] :
                ( ( eiw_di @ Y0 @ X1 )
                & ( teach @ Y0 @ cs @ X1 ) ) )
          & ( teach @ mary @ psych @ X1 )
          & ( teach @ sue @ psych @ X1 ) ) ) ),
    inference(and_proxy_clausification,[],[f76]) ).

thf(f80,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ mactual @ X1 ) )
      | ( $true
        = ( ?? @ $i
          @ ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ X1 )
              & ( teach @ Y0 @ cs @ X1 ) ) ) ) ),
    inference(and_proxy_clausification,[],[f77]) ).

thf(f81,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ mactual @ X1 ) )
      | ( $true
        = ( ^ [Y0: $i] :
              ( ( eiw_di @ Y0 @ X1 )
              & ( teach @ Y0 @ cs @ X1 ) )
          @ ( sK2 @ X1 ) ) ) ),
    inference(sigma_proxy_clausification,[],[f80]) ).

thf(f82,plain,
    ! [X1: mworld] :
      ( ( $false
        = ( mrel @ mactual @ X1 ) )
      | ( $true
        = ( ( eiw_di @ ( sK2 @ X1 ) @ X1 )
          & ( teach @ ( sK2 @ X1 ) @ cs @ X1 ) ) ) ),
    inference(beta-eta_normalization,[],[f81]) ).

thf(f83,plain,
    ! [X1: mworld] :
      ( ( $true
        = ( teach @ ( sK2 @ X1 ) @ cs @ X1 ) )
      | ( $false
        = ( mrel @ mactual @ X1 ) ) ),
    inference(and_proxy_clausification,[],[f82]) ).

thf(f84,plain,
    ! [X1: mworld] :
      ( ( $true
        = ( eiw_di @ ( sK2 @ X1 ) @ X1 ) )
      | ( $false
        = ( mrel @ mactual @ X1 ) ) ),
    inference(and_proxy_clausification,[],[f82]) ).

thf(f114,plain,
    ( ( $true = $false )
    | ( $false
      = ( mrel @ mactual @ sK1 ) )
    | ( $false
      = ( eiw_di @ ( sK2 @ sK1 ) @ sK1 ) ) ),
    inference(constrained_superposition,[],[f83,f72]) ).

thf(f117,plain,
    ( ( $false
      = ( mrel @ mactual @ sK1 ) )
    | ( $false
      = ( eiw_di @ ( sK2 @ sK1 ) @ sK1 ) ) ),
    inference(trivial_inequality_removal,[],[f114]) ).

thf(f119,definition,
    ( spl3_1
  <=> ( $false
      = ( mrel @ mactual @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).

thf(f121,plain,
    ( ( $false
      = ( mrel @ mactual @ sK1 ) )
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f119]) ).

thf(f123,definition,
    ( spl3_2
  <=> ( $false
      = ( eiw_di @ ( sK2 @ sK1 ) @ sK1 ) ) ),
    introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).

thf(f125,plain,
    ( ( $false
      = ( eiw_di @ ( sK2 @ sK1 ) @ sK1 ) )
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f123]) ).

thf(f127,plain,
    ( spl3_2
    | spl3_1 ),
    inference(avatar_split_clause,[],[f117,f119,f123]) ).

thf(f138,plain,
    ( ( $true = $false )
    | ( $false
      = ( mrel @ mactual @ sK1 ) )
    | ~ spl3_2 ),
    inference(constrained_superposition,[],[f84,f125]) ).

thf(f139,plain,
    ( ( $false
      = ( mrel @ mactual @ sK1 ) )
    | ~ spl3_2 ),
    inference(trivial_inequality_removal,[],[f138]) ).

thf(f142,plain,
    ( spl3_1
    | ~ spl3_2 ),
    inference(avatar_split_clause,[],[f139,f123,f119]) ).

thf(f143,plain,
    ( ( $true = $false )
    | ~ spl3_1 ),
    inference(constrained_superposition,[],[f121,f69]) ).

thf(f149,plain,
    ( $false
    | ~ spl3_1 ),
    inference(trivial_inequality_removal,[],[f143]) ).

thf(f150,plain,
    ~ spl3_1,
    inference(avatar_contradiction_clause,[],[f149]) ).

cnf(s2,plain,
    ( spl3_1
    | spl3_2 ),
    inference(sat_conversion,[],[f127]) ).

cnf(s3,plain,
    ( spl3_1
    | ~ spl3_2 ),
    inference(sat_conversion,[],[f142]) ).

cnf(s6,plain,
    ~ spl3_1,
    inference(sat_conversion,[],[f150]) ).

cnf(s7,plain,
    ~ spl3_2,
    inference(rat,[],[s3,s6]) ).

cnf(s8,plain,
    $false,
    inference(rat,[],[s2,s7,s6]) ).

thf(f151,plain,
    $false,
    inference(avatar_sat_refutation,[],[s8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : DAT334^19 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n015.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 18:31:48 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  Running first-order model finding
% 0.09/0.23  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
% 0.19/0.29  % (3920665)Will run a generic schedule for satisfiability detection.
% 0.19/0.29  % (3920681)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1059644503:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29  % (3920681)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.29  % (3920678)% WARNING: option uhcvi not known.
% 0.19/0.29  % (3920679)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=801551041:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29  % (3920680)dis+10_1_sil=32000:sp=arity:random_seed=3986230330:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29  % (3920677)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1917686758_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29  % (3920682)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2134908846:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29  % (3920678)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3994658819:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29  % (3920683)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3541046266:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29  % (3920678)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.19/0.29  % Exception at run slice level
% 0.19/0.29  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.19/0.29  % (3920678)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.19/0.29  % (3920683) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3920665-3920683"...
% 0.19/0.29  % (3920679) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3920665-3920679"...
% 0.19/0.29  % (3920683)...printing done.
% 0.19/0.29  % (3920683)Refutation found. Thanks to Tanya!
% 0.19/0.29  % SZS status Theorem for theBenchmark
% 0.19/0.29  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29  % (3920683)------------------------------
% 0.19/0.29  % (3920683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29  % (3920683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29  % (3920683)CaDiCaL version: 2.1.3
% 0.19/0.29  % (3920683)Termination reason: Refutation
% 0.19/0.29  % (3920683)Time elapsed: 0.007 s
% 0.19/0.29  % (3920683)Peak memory usage: 13 MB
% 0.19/0.29  % (3920683)Instructions burned: 11 (million)
% 0.19/0.29  % (3920665)Success in time 0.053 s
% 0.19/0.29  % Vampire exiting
%------------------------------------------------------------------------------