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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : PUZ091^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 08:20:52 AM UTC 2026

% Result   : Theorem 0.20s 0.26s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   91 (  13 unt;   0 typ;   9 def)
%            Number of atoms       : 1298 ( 332 equ)
%            Maximal formula atoms :   58 (  14 avg)
%            Number of connectives :  819 ( 276   ~; 215   |; 234   &)
%                                         (   9 <=>;  85  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of FOOLs       :  664 ( 664 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   23 (  20 usr;  22 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    cIN_BED_BEFORE_FOUR: $o ).

tff(func_def_1,type,
    cRISES_AT_FIVE: $o ).

tff(func_def_2,type,
    cLOGICIAN: $o ).

tff(func_def_3,type,
    cEARNEST: $o ).

tff(func_def_4,type,
    cGAMBLER: $o ).

tff(func_def_5,type,
    cLIKELY_LOSE_MONEY: $o ).

tff(func_def_6,type,
    cLIVELY: $o ).

tff(func_def_7,type,
    cRAVENOUS: $o ).

tff(func_def_8,type,
    cBETTER_TAKE_TO_CAB_DRIVING: $o ).

tff(func_def_9,type,
    cEATS_PORKCHOPS: $o ).

tff(func_def_10,type,
    cHAS_LOST_MONEY: $o ).

tff(f1,conjecture,
    ( ( ( ( ~ cLIKELY_LOSE_MONEY
          & ~ cLIVELY
          & cRAVENOUS )
       => cGAMBLER )
      & ( ( ~ cRAVENOUS
          & cIN_BED_BEFORE_FOUR
          & cGAMBLER )
       => ~ cBETTER_TAKE_TO_CAB_DRIVING )
      & ( ( ~ cRISES_AT_FIVE
          & ~ cEATS_PORKCHOPS
          & cHAS_LOST_MONEY )
       => cBETTER_TAKE_TO_CAB_DRIVING )
      & ( ( ~ cLIKELY_LOSE_MONEY
          & ~ cLIVELY
          & cGAMBLER )
       => ~ cIN_BED_BEFORE_FOUR )
      & ( ( cEARNEST
          & cRAVENOUS )
       => ~ cBETTER_TAKE_TO_CAB_DRIVING )
      & ( ( cEARNEST
          & cLOGICIAN
          & cLIVELY )
       => ~ cLIKELY_LOSE_MONEY )
      & ( ( ~ cRAVENOUS
          & ~ cGAMBLER )
       => cLIVELY )
      & ( ( ~ cHAS_LOST_MONEY
          & cGAMBLER
          & ~ cLIVELY
          & cEARNEST )
       => ~ cLIKELY_LOSE_MONEY )
      & ( ( cLIKELY_LOSE_MONEY
          & cLOGICIAN )
       => cBETTER_TAKE_TO_CAB_DRIVING )
      & ( ( ~ cRISES_AT_FIVE
          & ~ cHAS_LOST_MONEY
          & cRAVENOUS )
       => cEATS_PORKCHOPS )
      & ( ( cIN_BED_BEFORE_FOUR
          & cLIVELY )
       => cBETTER_TAKE_TO_CAB_DRIVING )
      & ( ( ~ cEATS_PORKCHOPS
          & ~ cGAMBLER )
       => cRAVENOUS )
      & ( ( cLIKELY_LOSE_MONEY
          & cHAS_LOST_MONEY
          & ~ cLIVELY )
       => cRISES_AT_FIVE )
      & ( ( ~ cRAVENOUS
          & cGAMBLER )
       => cLIKELY_LOSE_MONEY )
      & ( ( cEATS_PORKCHOPS
          & cLOGICIAN )
       => cLIKELY_LOSE_MONEY ) )
   => ( ( cLOGICIAN
        & cEARNEST )
     => ( ~ cIN_BED_BEFORE_FOUR
        & cRISES_AT_FIVE ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPORKCHOP1) ).

tff(f2,negated_conjecture,
    ~ ( ( ( ( ~ cLIKELY_LOSE_MONEY
            & ~ cLIVELY
            & cRAVENOUS )
         => cGAMBLER )
        & ( ( ~ cRAVENOUS
            & cIN_BED_BEFORE_FOUR
            & cGAMBLER )
         => ~ cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( ~ cRISES_AT_FIVE
            & ~ cEATS_PORKCHOPS
            & cHAS_LOST_MONEY )
         => cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( ~ cLIKELY_LOSE_MONEY
            & ~ cLIVELY
            & cGAMBLER )
         => ~ cIN_BED_BEFORE_FOUR )
        & ( ( cEARNEST
            & cRAVENOUS )
         => ~ cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( cEARNEST
            & cLOGICIAN
            & cLIVELY )
         => ~ cLIKELY_LOSE_MONEY )
        & ( ( ~ cRAVENOUS
            & ~ cGAMBLER )
         => cLIVELY )
        & ( ( ~ cHAS_LOST_MONEY
            & cGAMBLER
            & ~ cLIVELY
            & cEARNEST )
         => ~ cLIKELY_LOSE_MONEY )
        & ( ( cLIKELY_LOSE_MONEY
            & cLOGICIAN )
         => cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( ~ cRISES_AT_FIVE
            & ~ cHAS_LOST_MONEY
            & cRAVENOUS )
         => cEATS_PORKCHOPS )
        & ( ( cIN_BED_BEFORE_FOUR
            & cLIVELY )
         => cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( ~ cEATS_PORKCHOPS
            & ~ cGAMBLER )
         => cRAVENOUS )
        & ( ( cLIKELY_LOSE_MONEY
            & cHAS_LOST_MONEY
            & ~ cLIVELY )
         => cRISES_AT_FIVE )
        & ( ( ~ cRAVENOUS
            & cGAMBLER )
         => cLIKELY_LOSE_MONEY )
        & ( ( cEATS_PORKCHOPS
            & cLOGICIAN )
         => cLIKELY_LOSE_MONEY ) )
     => ( ( cLOGICIAN
          & cEARNEST )
       => ( ~ cIN_BED_BEFORE_FOUR
          & cRISES_AT_FIVE ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

tff(f3,plain,
    ~ ( ( ( ( ~ cLIKELY_LOSE_MONEY
            & ~ cLIVELY
            & cRAVENOUS )
         => cGAMBLER )
        & ( ( ~ cRAVENOUS
            & cIN_BED_BEFORE_FOUR
            & cGAMBLER )
         => ~ cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( ~ cRISES_AT_FIVE
            & ~ cEATS_PORKCHOPS
            & cHAS_LOST_MONEY )
         => cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( ~ cLIKELY_LOSE_MONEY
            & ~ cLIVELY
            & cGAMBLER )
         => ~ cIN_BED_BEFORE_FOUR )
        & ( ( cEARNEST
            & cRAVENOUS )
         => ~ cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( cEARNEST
            & cLOGICIAN
            & cLIVELY )
         => ~ cLIKELY_LOSE_MONEY )
        & ( ( ~ cRAVENOUS
            & ~ cGAMBLER )
         => cLIVELY )
        & ( ( ~ cHAS_LOST_MONEY
            & cGAMBLER
            & ~ cLIVELY
            & cEARNEST )
         => ~ cLIKELY_LOSE_MONEY )
        & ( ( cLIKELY_LOSE_MONEY
            & cLOGICIAN )
         => cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( ~ cRISES_AT_FIVE
            & ~ cHAS_LOST_MONEY
            & cRAVENOUS )
         => cEATS_PORKCHOPS )
        & ( ( cIN_BED_BEFORE_FOUR
            & cLIVELY )
         => cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( ~ cEATS_PORKCHOPS
            & ~ cGAMBLER )
         => cRAVENOUS )
        & ( ( cLIKELY_LOSE_MONEY
            & cHAS_LOST_MONEY
            & ~ cLIVELY )
         => cRISES_AT_FIVE )
        & ( ( ~ cRAVENOUS
            & cGAMBLER )
         => cLIKELY_LOSE_MONEY )
        & ( ( cEATS_PORKCHOPS
            & cLOGICIAN )
         => cLIKELY_LOSE_MONEY ) )
     => ( ( cLOGICIAN
          & cEARNEST )
       => ( ~ cIN_BED_BEFORE_FOUR
          & cRISES_AT_FIVE ) ) ),
    inference(rectify,[],[f2]) ).

tff(f4,plain,
    ~ ( ( ( ( ( cLIKELY_LOSE_MONEY != $true )
            & ( cLIVELY != $true )
            & ( cRAVENOUS = $true ) )
         => ( cGAMBLER = $true ) )
        & ( ( ( cRAVENOUS != $true )
            & ( cIN_BED_BEFORE_FOUR = $true )
            & ( cGAMBLER = $true ) )
         => ( cBETTER_TAKE_TO_CAB_DRIVING != $true ) )
        & ( ( ( cRISES_AT_FIVE != $true )
            & ( cEATS_PORKCHOPS != $true )
            & ( cHAS_LOST_MONEY = $true ) )
         => ( cBETTER_TAKE_TO_CAB_DRIVING = $true ) )
        & ( ( ( cLIKELY_LOSE_MONEY != $true )
            & ( cLIVELY != $true )
            & ( cGAMBLER = $true ) )
         => ( cIN_BED_BEFORE_FOUR != $true ) )
        & ( ( ( cEARNEST = $true )
            & ( cRAVENOUS = $true ) )
         => ( cBETTER_TAKE_TO_CAB_DRIVING != $true ) )
        & ( ( ( cEARNEST = $true )
            & ( cLOGICIAN = $true )
            & ( cLIVELY = $true ) )
         => ( cLIKELY_LOSE_MONEY != $true ) )
        & ( ( ( cRAVENOUS != $true )
            & ( cGAMBLER != $true ) )
         => ( cLIVELY = $true ) )
        & ( ( ( cHAS_LOST_MONEY != $true )
            & ( cGAMBLER = $true )
            & ( cLIVELY != $true )
            & ( cEARNEST = $true ) )
         => ( cLIKELY_LOSE_MONEY != $true ) )
        & ( ( ( cLIKELY_LOSE_MONEY = $true )
            & ( cLOGICIAN = $true ) )
         => ( cBETTER_TAKE_TO_CAB_DRIVING = $true ) )
        & ( ( ( cRISES_AT_FIVE != $true )
            & ( cHAS_LOST_MONEY != $true )
            & ( cRAVENOUS = $true ) )
         => ( cEATS_PORKCHOPS = $true ) )
        & ( ( ( cIN_BED_BEFORE_FOUR = $true )
            & ( cLIVELY = $true ) )
         => ( cBETTER_TAKE_TO_CAB_DRIVING = $true ) )
        & ( ( ( cEATS_PORKCHOPS != $true )
            & ( cGAMBLER != $true ) )
         => ( cRAVENOUS = $true ) )
        & ( ( ( cLIKELY_LOSE_MONEY = $true )
            & ( cHAS_LOST_MONEY = $true )
            & ( cLIVELY != $true ) )
         => ( cRISES_AT_FIVE = $true ) )
        & ( ( ( cRAVENOUS != $true )
            & ( cGAMBLER = $true ) )
         => ( cLIKELY_LOSE_MONEY = $true ) )
        & ( ( ( cEATS_PORKCHOPS = $true )
            & ( cLOGICIAN = $true ) )
         => ( cLIKELY_LOSE_MONEY = $true ) ) )
     => ( ( ( cLOGICIAN = $true )
          & ( cEARNEST = $true ) )
       => ( ( cIN_BED_BEFORE_FOUR != $true )
          & ( cRISES_AT_FIVE = $true ) ) ) ),
    inference(fool_elimination,[],[f3]) ).

tff(f5,plain,
    ~ ( ( ( ( ( cLIKELY_LOSE_MONEY != $true )
            & ( cLIVELY != $true )
            & ( cRAVENOUS = $true ) )
         => ( cGAMBLER = $true ) )
        & ( ( ( cRAVENOUS != $true )
            & ( cIN_BED_BEFORE_FOUR = $true )
            & ( cGAMBLER = $true ) )
         => ( cBETTER_TAKE_TO_CAB_DRIVING != $true ) )
        & ( ( ( cRISES_AT_FIVE != $true )
            & ( cEATS_PORKCHOPS != $true )
            & ( cHAS_LOST_MONEY = $true ) )
         => ( cBETTER_TAKE_TO_CAB_DRIVING = $true ) )
        & ( ( ( cLIKELY_LOSE_MONEY != $true )
            & ( cLIVELY != $true )
            & ( cGAMBLER = $true ) )
         => ( cIN_BED_BEFORE_FOUR != $true ) )
        & ( ( ( cEARNEST = $true )
            & ( cRAVENOUS = $true ) )
         => ( cBETTER_TAKE_TO_CAB_DRIVING != $true ) )
        & ( ( ( cEARNEST = $true )
            & ( cLOGICIAN = $true )
            & ( cLIVELY = $true ) )
         => ( cLIKELY_LOSE_MONEY != $true ) )
        & ( ( ( cRAVENOUS != $true )
            & ( cGAMBLER != $true ) )
         => ( cLIVELY = $true ) )
        & ( ( ( cHAS_LOST_MONEY != $true )
            & ( cGAMBLER = $true )
            & ( cLIVELY != $true )
            & ( cEARNEST = $true ) )
         => ( cLIKELY_LOSE_MONEY != $true ) )
        & ( ( ( cLIKELY_LOSE_MONEY = $true )
            & ( cLOGICIAN = $true ) )
         => ( cBETTER_TAKE_TO_CAB_DRIVING = $true ) )
        & ( ( ( cRISES_AT_FIVE != $true )
            & ( cHAS_LOST_MONEY != $true )
            & ( cRAVENOUS = $true ) )
         => ( cEATS_PORKCHOPS = $true ) )
        & ( ( ( cIN_BED_BEFORE_FOUR = $true )
            & ( cLIVELY = $true ) )
         => ( cBETTER_TAKE_TO_CAB_DRIVING = $true ) )
        & ( ( ( cEATS_PORKCHOPS != $true )
            & ( cGAMBLER != $true ) )
         => ( cRAVENOUS = $true ) )
        & ( ( ( cLIKELY_LOSE_MONEY = $true )
            & ( cHAS_LOST_MONEY = $true )
            & ( cLIVELY != $true ) )
         => ( cRISES_AT_FIVE = $true ) )
        & ( ( ( cRAVENOUS != $true )
            & ( cGAMBLER = $true ) )
         => ( cLIKELY_LOSE_MONEY = $true ) )
        & ( ( ( cEATS_PORKCHOPS = $true )
            & ( cLOGICIAN = $true ) )
         => ( cLIKELY_LOSE_MONEY = $true ) ) )
     => ( ( ( cLOGICIAN = $true )
          & ( cEARNEST = $true ) )
       => ( ( cIN_BED_BEFORE_FOUR != $true )
          & ( cRISES_AT_FIVE = $true ) ) ) ),
    inference(flattening,[],[f4]) ).

tff(f6,plain,
    ( ( ( cIN_BED_BEFORE_FOUR = $true )
      | ( cRISES_AT_FIVE != $true ) )
    & ( cLOGICIAN = $true )
    & ( cEARNEST = $true )
    & ( ( cGAMBLER = $true )
      | ( cLIKELY_LOSE_MONEY = $true )
      | ( cLIVELY = $true )
      | ( cRAVENOUS != $true ) )
    & ( ( cBETTER_TAKE_TO_CAB_DRIVING != $true )
      | ( cRAVENOUS = $true )
      | ( cIN_BED_BEFORE_FOUR != $true )
      | ( cGAMBLER != $true ) )
    & ( ( cBETTER_TAKE_TO_CAB_DRIVING = $true )
      | ( cRISES_AT_FIVE = $true )
      | ( cEATS_PORKCHOPS = $true )
      | ( cHAS_LOST_MONEY != $true ) )
    & ( ( cIN_BED_BEFORE_FOUR != $true )
      | ( cLIKELY_LOSE_MONEY = $true )
      | ( cLIVELY = $true )
      | ( cGAMBLER != $true ) )
    & ( ( cBETTER_TAKE_TO_CAB_DRIVING != $true )
      | ( cEARNEST != $true )
      | ( cRAVENOUS != $true ) )
    & ( ( cLIKELY_LOSE_MONEY != $true )
      | ( cEARNEST != $true )
      | ( cLOGICIAN != $true )
      | ( cLIVELY != $true ) )
    & ( ( cLIVELY = $true )
      | ( cRAVENOUS = $true )
      | ( cGAMBLER = $true ) )
    & ( ( cLIKELY_LOSE_MONEY != $true )
      | ( cHAS_LOST_MONEY = $true )
      | ( cGAMBLER != $true )
      | ( cLIVELY = $true )
      | ( cEARNEST != $true ) )
    & ( ( cBETTER_TAKE_TO_CAB_DRIVING = $true )
      | ( cLIKELY_LOSE_MONEY != $true )
      | ( cLOGICIAN != $true ) )
    & ( ( cEATS_PORKCHOPS = $true )
      | ( cRISES_AT_FIVE = $true )
      | ( cHAS_LOST_MONEY = $true )
      | ( cRAVENOUS != $true ) )
    & ( ( cBETTER_TAKE_TO_CAB_DRIVING = $true )
      | ( cIN_BED_BEFORE_FOUR != $true )
      | ( cLIVELY != $true ) )
    & ( ( cRAVENOUS = $true )
      | ( cEATS_PORKCHOPS = $true )
      | ( cGAMBLER = $true ) )
    & ( ( cRISES_AT_FIVE = $true )
      | ( cLIKELY_LOSE_MONEY != $true )
      | ( cHAS_LOST_MONEY != $true )
      | ( cLIVELY = $true ) )
    & ( ( cLIKELY_LOSE_MONEY = $true )
      | ( cRAVENOUS = $true )
      | ( cGAMBLER != $true ) )
    & ( ( cLIKELY_LOSE_MONEY = $true )
      | ( cEATS_PORKCHOPS != $true )
      | ( cLOGICIAN != $true ) ) ),
    inference(ennf_transformation,[],[f5]) ).

tff(f7,plain,
    ( ( ( cIN_BED_BEFORE_FOUR = $true )
      | ( cRISES_AT_FIVE != $true ) )
    & ( cLOGICIAN = $true )
    & ( cEARNEST = $true )
    & ( ( cGAMBLER = $true )
      | ( cLIKELY_LOSE_MONEY = $true )
      | ( cLIVELY = $true )
      | ( cRAVENOUS != $true ) )
    & ( ( cBETTER_TAKE_TO_CAB_DRIVING != $true )
      | ( cRAVENOUS = $true )
      | ( cIN_BED_BEFORE_FOUR != $true )
      | ( cGAMBLER != $true ) )
    & ( ( cBETTER_TAKE_TO_CAB_DRIVING = $true )
      | ( cRISES_AT_FIVE = $true )
      | ( cEATS_PORKCHOPS = $true )
      | ( cHAS_LOST_MONEY != $true ) )
    & ( ( cIN_BED_BEFORE_FOUR != $true )
      | ( cLIKELY_LOSE_MONEY = $true )
      | ( cLIVELY = $true )
      | ( cGAMBLER != $true ) )
    & ( ( cBETTER_TAKE_TO_CAB_DRIVING != $true )
      | ( cEARNEST != $true )
      | ( cRAVENOUS != $true ) )
    & ( ( cLIKELY_LOSE_MONEY != $true )
      | ( cEARNEST != $true )
      | ( cLOGICIAN != $true )
      | ( cLIVELY != $true ) )
    & ( ( cLIVELY = $true )
      | ( cRAVENOUS = $true )
      | ( cGAMBLER = $true ) )
    & ( ( cLIKELY_LOSE_MONEY != $true )
      | ( cHAS_LOST_MONEY = $true )
      | ( cGAMBLER != $true )
      | ( cLIVELY = $true )
      | ( cEARNEST != $true ) )
    & ( ( cBETTER_TAKE_TO_CAB_DRIVING = $true )
      | ( cLIKELY_LOSE_MONEY != $true )
      | ( cLOGICIAN != $true ) )
    & ( ( cEATS_PORKCHOPS = $true )
      | ( cRISES_AT_FIVE = $true )
      | ( cHAS_LOST_MONEY = $true )
      | ( cRAVENOUS != $true ) )
    & ( ( cBETTER_TAKE_TO_CAB_DRIVING = $true )
      | ( cIN_BED_BEFORE_FOUR != $true )
      | ( cLIVELY != $true ) )
    & ( ( cRAVENOUS = $true )
      | ( cEATS_PORKCHOPS = $true )
      | ( cGAMBLER = $true ) )
    & ( ( cRISES_AT_FIVE = $true )
      | ( cLIKELY_LOSE_MONEY != $true )
      | ( cHAS_LOST_MONEY != $true )
      | ( cLIVELY = $true ) )
    & ( ( cLIKELY_LOSE_MONEY = $true )
      | ( cRAVENOUS = $true )
      | ( cGAMBLER != $true ) )
    & ( ( cLIKELY_LOSE_MONEY = $true )
      | ( cEATS_PORKCHOPS != $true )
      | ( cLOGICIAN != $true ) ) ),
    inference(flattening,[],[f6]) ).

tff(f8,plain,
    ( ( cLIKELY_LOSE_MONEY = $true )
    | ( cEATS_PORKCHOPS != $true )
    | ( cLOGICIAN != $true ) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f9,plain,
    ( ( cLIKELY_LOSE_MONEY = $true )
    | ( cRAVENOUS = $true )
    | ( cGAMBLER != $true ) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f10,plain,
    ( ( cRISES_AT_FIVE = $true )
    | ( cLIKELY_LOSE_MONEY != $true )
    | ( cHAS_LOST_MONEY != $true )
    | ( cLIVELY = $true ) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f11,plain,
    ( ( cRAVENOUS = $true )
    | ( cEATS_PORKCHOPS = $true )
    | ( cGAMBLER = $true ) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f12,plain,
    ( ( cBETTER_TAKE_TO_CAB_DRIVING = $true )
    | ( cIN_BED_BEFORE_FOUR != $true )
    | ( cLIVELY != $true ) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f13,plain,
    ( ( cEATS_PORKCHOPS = $true )
    | ( cRISES_AT_FIVE = $true )
    | ( cHAS_LOST_MONEY = $true )
    | ( cRAVENOUS != $true ) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f14,plain,
    ( ( cBETTER_TAKE_TO_CAB_DRIVING = $true )
    | ( cLIKELY_LOSE_MONEY != $true )
    | ( cLOGICIAN != $true ) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f15,plain,
    ( ( cLIKELY_LOSE_MONEY != $true )
    | ( cHAS_LOST_MONEY = $true )
    | ( cGAMBLER != $true )
    | ( cLIVELY = $true )
    | ( cEARNEST != $true ) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f16,plain,
    ( ( cLIVELY = $true )
    | ( cRAVENOUS = $true )
    | ( cGAMBLER = $true ) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f17,plain,
    ( ( cLIKELY_LOSE_MONEY != $true )
    | ( cEARNEST != $true )
    | ( cLOGICIAN != $true )
    | ( cLIVELY != $true ) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f18,plain,
    ( ( cBETTER_TAKE_TO_CAB_DRIVING != $true )
    | ( cEARNEST != $true )
    | ( cRAVENOUS != $true ) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f19,plain,
    ( ( cIN_BED_BEFORE_FOUR != $true )
    | ( cLIKELY_LOSE_MONEY = $true )
    | ( cLIVELY = $true )
    | ( cGAMBLER != $true ) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f20,plain,
    ( ( cBETTER_TAKE_TO_CAB_DRIVING = $true )
    | ( cRISES_AT_FIVE = $true )
    | ( cEATS_PORKCHOPS = $true )
    | ( cHAS_LOST_MONEY != $true ) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f21,plain,
    ( ( cBETTER_TAKE_TO_CAB_DRIVING != $true )
    | ( cRAVENOUS = $true )
    | ( cIN_BED_BEFORE_FOUR != $true )
    | ( cGAMBLER != $true ) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f22,plain,
    ( ( cGAMBLER = $true )
    | ( cLIKELY_LOSE_MONEY = $true )
    | ( cLIVELY = $true )
    | ( cRAVENOUS != $true ) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f23,plain,
    cEARNEST = $true,
    inference(cnf_transformation,[],[f7]) ).

tff(f24,plain,
    cLOGICIAN = $true,
    inference(cnf_transformation,[],[f7]) ).

tff(f25,plain,
    ( ( cIN_BED_BEFORE_FOUR = $true )
    | ( cRISES_AT_FIVE != $true ) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f28,plain,
    ( ( cBETTER_TAKE_TO_CAB_DRIVING != $true )
    | ( $true != $true )
    | ( cRAVENOUS != $true ) ),
    inference(definition_unfolding,[],[f18,f23]) ).

tff(f29,plain,
    ( ( cLIKELY_LOSE_MONEY != $true )
    | ( $true != $true )
    | ( $true != $true )
    | ( cLIVELY != $true ) ),
    inference(definition_unfolding,[],[f17,f23,f24]) ).

tff(f30,plain,
    ( ( cLIKELY_LOSE_MONEY != $true )
    | ( cHAS_LOST_MONEY = $true )
    | ( cGAMBLER != $true )
    | ( cLIVELY = $true )
    | ( $true != $true ) ),
    inference(definition_unfolding,[],[f15,f23]) ).

tff(f31,plain,
    ( ( cBETTER_TAKE_TO_CAB_DRIVING = $true )
    | ( cLIKELY_LOSE_MONEY != $true )
    | ( $true != $true ) ),
    inference(definition_unfolding,[],[f14,f24]) ).

tff(f32,plain,
    ( ( cLIKELY_LOSE_MONEY = $true )
    | ( cEATS_PORKCHOPS != $true )
    | ( $true != $true ) ),
    inference(definition_unfolding,[],[f8,f24]) ).

tff(f33,plain,
    ( ( cLIKELY_LOSE_MONEY = $true )
    | ( cEATS_PORKCHOPS != $true ) ),
    inference(trivial_inequality_removal,[],[f32]) ).

tff(f34,plain,
    ( ( cBETTER_TAKE_TO_CAB_DRIVING = $true )
    | ( cLIKELY_LOSE_MONEY != $true ) ),
    inference(trivial_inequality_removal,[],[f31]) ).

tff(f35,plain,
    ( ( cLIKELY_LOSE_MONEY != $true )
    | ( cHAS_LOST_MONEY = $true )
    | ( cGAMBLER != $true )
    | ( cLIVELY = $true ) ),
    inference(trivial_inequality_removal,[],[f30]) ).

tff(f36,plain,
    ( ( cLIKELY_LOSE_MONEY != $true )
    | ( $true != $true )
    | ( cLIVELY != $true ) ),
    inference(duplicate_literal_removal,[],[f29]) ).

tff(f37,plain,
    ( ( cLIKELY_LOSE_MONEY != $true )
    | ( cLIVELY != $true ) ),
    inference(trivial_inequality_removal,[],[f36]) ).

tff(f38,plain,
    ( ( cBETTER_TAKE_TO_CAB_DRIVING != $true )
    | ( cRAVENOUS != $true ) ),
    inference(trivial_inequality_removal,[],[f28]) ).

tff(f40,definition,
    ( spl0_1
  <=> ( cEATS_PORKCHOPS = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

tff(f44,definition,
    ( spl0_2
  <=> ( cLIKELY_LOSE_MONEY = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

tff(f47,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f33,f44,f40]) ).

tff(f49,definition,
    ( spl0_3
  <=> ( cGAMBLER = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

tff(f53,definition,
    ( spl0_4
  <=> ( cRAVENOUS = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

tff(f56,plain,
    ( ~ spl0_3
    | spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f44,f53,f49]) ).

tff(f58,definition,
    ( spl0_5
  <=> ( cLIVELY = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

tff(f62,definition,
    ( spl0_6
  <=> ( cHAS_LOST_MONEY = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

tff(f66,definition,
    ( spl0_7
  <=> ( cRISES_AT_FIVE = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

tff(f69,plain,
    ( spl0_5
    | ~ spl0_6
    | ~ spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f10,f66,f44,f62,f58]) ).

tff(f70,plain,
    ( spl0_3
    | spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f11,f53,f40,f49]) ).

tff(f72,definition,
    ( spl0_8
  <=> ( cIN_BED_BEFORE_FOUR = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

tff(f76,definition,
    ( spl0_9
  <=> ( cBETTER_TAKE_TO_CAB_DRIVING = $true ) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

tff(f79,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f12,f76,f72,f58]) ).

tff(f80,plain,
    ( ~ spl0_4
    | spl0_6
    | spl0_7
    | spl0_1 ),
    inference(avatar_split_clause,[],[f13,f40,f66,f62,f53]) ).

tff(f81,plain,
    ( ~ spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f34,f76,f44]) ).

tff(f82,plain,
    ( spl0_5
    | ~ spl0_3
    | spl0_6
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f35,f44,f62,f49,f58]) ).

tff(f83,plain,
    ( spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f16,f58,f53,f49]) ).

tff(f84,plain,
    ( ~ spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f37,f44,f58]) ).

tff(f85,plain,
    ( ~ spl0_4
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f38,f76,f53]) ).

tff(f86,plain,
    ( ~ spl0_3
    | spl0_5
    | spl0_2
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f19,f72,f44,f58,f49]) ).

tff(f87,plain,
    ( ~ spl0_6
    | spl0_1
    | spl0_7
    | spl0_9 ),
    inference(avatar_split_clause,[],[f20,f76,f66,f40,f62]) ).

tff(f88,plain,
    ( ~ spl0_3
    | ~ spl0_8
    | spl0_4
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f21,f76,f53,f72,f49]) ).

tff(f89,plain,
    ( ~ spl0_4
    | spl0_5
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f22,f49,f44,f58,f53]) ).

tff(f90,plain,
    ( ~ spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f25,f72,f66]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f47]) ).

cnf(s2,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f56]) ).

cnf(s3,plain,
    ( ~ spl0_2
    | spl0_5
    | ~ spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f69]) ).

cnf(s4,plain,
    ( spl0_1
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f70]) ).

cnf(s5,plain,
    ( ~ spl0_5
    | ~ spl0_8
    | spl0_9 ),
    inference(sat_conversion,[],[f79]) ).

cnf(s6,plain,
    ( spl0_1
    | ~ spl0_4
    | spl0_6
    | spl0_7 ),
    inference(sat_conversion,[],[f80]) ).

cnf(s7,plain,
    ( ~ spl0_2
    | spl0_9 ),
    inference(sat_conversion,[],[f81]) ).

cnf(s8,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f82]) ).

cnf(s9,plain,
    ( spl0_3
    | spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f83]) ).

cnf(s10,plain,
    ( ~ spl0_2
    | ~ spl0_5 ),
    inference(sat_conversion,[],[f84]) ).

cnf(s11,plain,
    ( ~ spl0_4
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f85]) ).

cnf(s12,plain,
    ( spl0_2
    | ~ spl0_3
    | spl0_5
    | ~ spl0_8 ),
    inference(sat_conversion,[],[f86]) ).

cnf(s13,plain,
    ( spl0_1
    | ~ spl0_6
    | spl0_7
    | spl0_9 ),
    inference(sat_conversion,[],[f87]) ).

cnf(s14,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f88]) ).

cnf(s15,plain,
    ( spl0_2
    | spl0_3
    | ~ spl0_4
    | spl0_5 ),
    inference(sat_conversion,[],[f89]) ).

cnf(s16,plain,
    ( ~ spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f90]) ).

cnf(s17,plain,
    ( spl0_3
    | spl0_2
    | spl0_1 ),
    inference(rat,[],[s6,s13,s16,s5,s15,s11,s4]) ).

cnf(s18,plain,
    ( spl0_7
    | ~ spl0_4
    | spl0_1 ),
    inference(rat,[],[s6,s13,s11]) ).

cnf(s19,plain,
    ( spl0_2
    | spl0_1 ),
    inference(rat,[],[s12,s5,s16,s18,s11,s2,s17]) ).

cnf(s20,plain,
    spl0_1,
    inference(rat,[],[s3,s16,s8,s14,s4,s11,s7,s10,s19]) ).

cnf(s21,plain,
    spl0_2,
    inference(rat,[],[s1,s20]) ).

cnf(s22,plain,
    ~ spl0_5,
    inference(rat,[],[s10,s21]) ).

cnf(s23,plain,
    spl0_9,
    inference(rat,[],[s7,s21]) ).

cnf(s24,plain,
    ~ spl0_4,
    inference(rat,[],[s11,s23]) ).

cnf(s25,plain,
    spl0_3,
    inference(rat,[],[s9,s22,s24]) ).

cnf(s26,plain,
    spl0_6,
    inference(rat,[],[s8,s21,s22,s25]) ).

cnf(s27,plain,
    ~ spl0_8,
    inference(rat,[],[s14,s23,s24,s25]) ).

cnf(s28,plain,
    spl0_7,
    inference(rat,[],[s3,s22,s21,s26]) ).

cnf(s29,plain,
    $false,
    inference(rat,[],[s16,s27,s28]) ).

tff(f91,plain,
    $false,
    inference(avatar_sat_refutation,[],[s29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : PUZ091^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n003.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Tue Sep 29 13:23:59 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running higher-order theorem proving
% 0.08/0.23  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
% 0.20/0.26  % (2487732)Detected formulas, will run a generic FOF schedule.
% 0.20/0.26  % (2487740)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=1159071952:st=5:i=107:sd=1:ss=included:er=filter_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/0.26  % (2487740) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2487732-2487740"...
% 0.20/0.26  % (2487740)...printing done.
% 0.20/0.26  % (2487740)Refutation found. Thanks to Tanya!
% 0.20/0.26  % SZS status Theorem for theBenchmark
% 0.20/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.26  % (2487740)------------------------------
% 0.20/0.26  % (2487740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.26  % (2487740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.26  % (2487740)CaDiCaL version: 2.1.3
% 0.20/0.26  % (2487740)Termination reason: Refutation
% 0.20/0.26  % (2487740)Time elapsed: 0.002 s
% 0.20/0.26  % (2487740)Peak memory usage: 12 MB
% 0.20/0.26  % (2487740)Instructions burned: 4 (million)
% 0.20/0.26  % (2487732)Success in time 0.025 s
% 0.20/0.26  % Vampire exiting
%------------------------------------------------------------------------------