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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : PUZ091^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n012.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 08:20:46 AM UTC 2026

% Result   : Theorem 1.79s 1.03s
% Output   : Refutation 1.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    4 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :  175 (   0 equ;   0 cnn)
%            Maximal formula atoms :   58 (  43 avg)
%            Number of connectives :  242 (  71   ~;   0   |; 120   &;   0   @)
%                                         (   0 <=>;  51  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (  15 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;  12 con; 0-0 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cIN_BED_BEFORE_FOUR_decl,type,
    cIN_BED_BEFORE_FOUR: $o ).

thf(cRISES_AT_FIVE_decl,type,
    cRISES_AT_FIVE: $o ).

thf(cLOGICIAN_decl,type,
    cLOGICIAN: $o ).

thf(cEARNEST_decl,type,
    cEARNEST: $o ).

thf(cGAMBLER_decl,type,
    cGAMBLER: $o ).

thf(cLIKELY_LOSE_MONEY_decl,type,
    cLIKELY_LOSE_MONEY: $o ).

thf(cLIVELY_decl,type,
    cLIVELY: $o ).

thf(cRAVENOUS_decl,type,
    cRAVENOUS: $o ).

thf(cBETTER_TAKE_TO_CAB_DRIVING_decl,type,
    cBETTER_TAKE_TO_CAB_DRIVING: $o ).

thf(cEATS_PORKCHOPS_decl,type,
    cEATS_PORKCHOPS: $o ).

thf(cHAS_LOST_MONEY_decl,type,
    cHAS_LOST_MONEY: $o ).

thf(1,conjecture,
    ( ( ( ( cLOGICIAN
          & cEATS_PORKCHOPS )
       => cLIKELY_LOSE_MONEY )
      & ( ( cGAMBLER
          & ~ cRAVENOUS )
       => cLIKELY_LOSE_MONEY )
      & ( ( ~ cLIVELY
          & cHAS_LOST_MONEY
          & cLIKELY_LOSE_MONEY )
       => cRISES_AT_FIVE )
      & ( ( ~ cGAMBLER
          & ~ cEATS_PORKCHOPS )
       => cRAVENOUS )
      & ( ( cLIVELY
          & cIN_BED_BEFORE_FOUR )
       => cBETTER_TAKE_TO_CAB_DRIVING )
      & ( ( cRAVENOUS
          & ~ cHAS_LOST_MONEY
          & ~ cRISES_AT_FIVE )
       => cEATS_PORKCHOPS )
      & ( ( cLOGICIAN
          & cLIKELY_LOSE_MONEY )
       => cBETTER_TAKE_TO_CAB_DRIVING )
      & ( ( cEARNEST
          & ~ cLIVELY
          & cGAMBLER
          & ~ cHAS_LOST_MONEY )
       => ~ cLIKELY_LOSE_MONEY )
      & ( ( ~ cGAMBLER
          & ~ cRAVENOUS )
       => cLIVELY )
      & ( ( cLIVELY
          & cLOGICIAN
          & cEARNEST )
       => ~ cLIKELY_LOSE_MONEY )
      & ( ( cRAVENOUS
          & cEARNEST )
       => ~ cBETTER_TAKE_TO_CAB_DRIVING )
      & ( ( cGAMBLER
          & ~ cLIVELY
          & ~ cLIKELY_LOSE_MONEY )
       => ~ cIN_BED_BEFORE_FOUR )
      & ( ( cHAS_LOST_MONEY
          & ~ cEATS_PORKCHOPS
          & ~ cRISES_AT_FIVE )
       => cBETTER_TAKE_TO_CAB_DRIVING )
      & ( ( cGAMBLER
          & cIN_BED_BEFORE_FOUR
          & ~ cRAVENOUS )
       => ~ cBETTER_TAKE_TO_CAB_DRIVING )
      & ( ( cRAVENOUS
          & ~ cLIVELY
          & ~ cLIKELY_LOSE_MONEY )
       => cGAMBLER ) )
   => ( ( cEARNEST
        & cLOGICIAN )
     => ( cRISES_AT_FIVE
        & ~ cIN_BED_BEFORE_FOUR ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPORKCHOP1) ).

thf(2,negated_conjecture,
    ~ ( ( ( ( cLOGICIAN
            & cEATS_PORKCHOPS )
         => cLIKELY_LOSE_MONEY )
        & ( ( cGAMBLER
            & ~ cRAVENOUS )
         => cLIKELY_LOSE_MONEY )
        & ( ( ~ cLIVELY
            & cHAS_LOST_MONEY
            & cLIKELY_LOSE_MONEY )
         => cRISES_AT_FIVE )
        & ( ( ~ cGAMBLER
            & ~ cEATS_PORKCHOPS )
         => cRAVENOUS )
        & ( ( cLIVELY
            & cIN_BED_BEFORE_FOUR )
         => cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( cRAVENOUS
            & ~ cHAS_LOST_MONEY
            & ~ cRISES_AT_FIVE )
         => cEATS_PORKCHOPS )
        & ( ( cLOGICIAN
            & cLIKELY_LOSE_MONEY )
         => cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( cEARNEST
            & ~ cLIVELY
            & cGAMBLER
            & ~ cHAS_LOST_MONEY )
         => ~ cLIKELY_LOSE_MONEY )
        & ( ( ~ cGAMBLER
            & ~ cRAVENOUS )
         => cLIVELY )
        & ( ( cLIVELY
            & cLOGICIAN
            & cEARNEST )
         => ~ cLIKELY_LOSE_MONEY )
        & ( ( cRAVENOUS
            & cEARNEST )
         => ~ cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( cGAMBLER
            & ~ cLIVELY
            & ~ cLIKELY_LOSE_MONEY )
         => ~ cIN_BED_BEFORE_FOUR )
        & ( ( cHAS_LOST_MONEY
            & ~ cEATS_PORKCHOPS
            & ~ cRISES_AT_FIVE )
         => cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( cGAMBLER
            & cIN_BED_BEFORE_FOUR
            & ~ cRAVENOUS )
         => ~ cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( cRAVENOUS
            & ~ cLIVELY
            & ~ cLIKELY_LOSE_MONEY )
         => cGAMBLER ) )
     => ( ( cEARNEST
          & cLOGICIAN )
       => ( cRISES_AT_FIVE
          & ~ cIN_BED_BEFORE_FOUR ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ( ( ( cLOGICIAN
            & cEATS_PORKCHOPS )
         => cLIKELY_LOSE_MONEY )
        & ( ( cGAMBLER
            & ~ cRAVENOUS )
         => cLIKELY_LOSE_MONEY )
        & ( ( ~ cLIVELY
            & cHAS_LOST_MONEY
            & cLIKELY_LOSE_MONEY )
         => cRISES_AT_FIVE )
        & ( ( ~ cGAMBLER
            & ~ cEATS_PORKCHOPS )
         => cRAVENOUS )
        & ( ( cLIVELY
            & cIN_BED_BEFORE_FOUR )
         => cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( cRAVENOUS
            & ~ cHAS_LOST_MONEY
            & ~ cRISES_AT_FIVE )
         => cEATS_PORKCHOPS )
        & ( ( cLOGICIAN
            & cLIKELY_LOSE_MONEY )
         => cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( cEARNEST
            & ~ cLIVELY
            & cGAMBLER
            & ~ cHAS_LOST_MONEY )
         => ~ cLIKELY_LOSE_MONEY )
        & ( ( ~ cGAMBLER
            & ~ cRAVENOUS )
         => cLIVELY )
        & ( ( cLIVELY
            & cLOGICIAN
            & cEARNEST )
         => ~ cLIKELY_LOSE_MONEY )
        & ( ( cRAVENOUS
            & cEARNEST )
         => ~ cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( cGAMBLER
            & ~ cLIVELY
            & ~ cLIKELY_LOSE_MONEY )
         => ~ cIN_BED_BEFORE_FOUR )
        & ( ( cHAS_LOST_MONEY
            & ~ cEATS_PORKCHOPS
            & ~ cRISES_AT_FIVE )
         => cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( cGAMBLER
            & cIN_BED_BEFORE_FOUR
            & ~ cRAVENOUS )
         => ~ cBETTER_TAKE_TO_CAB_DRIVING )
        & ( ( cRAVENOUS
            & ~ cLIVELY
            & ~ cLIKELY_LOSE_MONEY )
         => cGAMBLER ) )
     => ( ( cEARNEST
          & cLOGICIAN )
       => ( cRISES_AT_FIVE
          & ~ cIN_BED_BEFORE_FOUR ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(23,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : PUZ091^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.06/0.11  % Computer : n012.cluster.edu
% 0.06/0.11  % Model    : x86_64 x86_64
% 0.06/0.11  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.11  % Memory   : 8046.5625MB
% 0.06/0.11  % OS       : Linux 6.8.0-71-generic
% 0.06/0.11  % CPULimit : 300
% 0.06/0.11  % WCLimit  : 300
% 0.06/0.11  % DateTime : Tue Sep 29 13:21:48 UTC 2026
% 0.06/0.12  % CPUTime  : 
% 0.06/0.12  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.39/0.40  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 0.55/0.49  % [INFO] 	 Parsing done (93ms). 
% 0.55/0.50  % [INFO] 	 Running in sequential loop mode. 
% 0.89/0.69  % [INFO] 	 eprover registered as external prover. 
% 0.89/0.69  % [INFO] 	 Scanning for conjecture ... 
% 1.05/0.74  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.05/0.76  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.05/0.76  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.05/0.77  % [INFO] 	 Type checking passed. 
% 1.05/0.77  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 1.79/1.03  % External prover 'e' found a proof!
% 1.79/1.03  % [INFO] 	 Killing All external provers ... 
% 1.79/1.03  % Time passed: 839ms (effective reasoning time: 526ms)
% 1.79/1.03  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 1.79/1.03  % Axioms used in derivation (0): 
% 1.79/1.03  % No. of inferences in proof: 4
% 1.79/1.03  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 839 ms resp. 526 ms w/o parsing
% 1.79/1.04  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.79/1.04  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------