TSTP Solution File: PUZ091^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : PUZ091^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 02:25:09 EDT 2024

% Result   : Theorem 0.16s 0.44s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   68 (  11 unt;  12 typ;   0 def)
%            Number of atoms       :  392 (   0 equ;   0 cnn)
%            Maximal formula atoms :   69 (   7 avg)
%            Number of connectives :  523 ( 187   ~; 150   |; 135   &;   0   @)
%                                         (   1 <=>;  50  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  12 usr;  13 con; 0-0 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    cIN_BED_BEFORE_FOUR: $o ).

thf(decl_23,type,
    cRISES_AT_FIVE: $o ).

thf(decl_24,type,
    cLOGICIAN: $o ).

thf(decl_25,type,
    cEARNEST: $o ).

thf(decl_26,type,
    cGAMBLER: $o ).

thf(decl_27,type,
    cLIKELY_LOSE_MONEY: $o ).

thf(decl_28,type,
    cLIVELY: $o ).

thf(decl_29,type,
    cRAVENOUS: $o ).

thf(decl_30,type,
    cBETTER_TAKE_TO_CAB_DRIVING: $o ).

thf(decl_31,type,
    cEATS_PORKCHOPS: $o ).

thf(decl_32,type,
    cHAS_LOST_MONEY: $o ).

thf(decl_33,type,
    epred1_0: $o ).

thf(cPORKCHOP1,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(c_0_1,plain,
    ( epred1_0
  <=> ( ( ( 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 ) ) ),
    introduced(definition) ).

thf(c_0_2,plain,
    ( epred1_0
   => ( ( ( 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 ) ) ),
    inference(split_equiv,[status(thm)],[c_0_1]) ).

thf(c_0_3,negated_conjecture,
    ~ ( epred1_0
     => ( ( cEARNEST
          & cLOGICIAN )
       => ( cRISES_AT_FIVE
          & ~ cIN_BED_BEFORE_FOUR ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cPORKCHOP1])]),c_0_1]) ).

thf(c_0_4,plain,
    ( ( ~ cLOGICIAN
      | ~ cEATS_PORKCHOPS
      | cLIKELY_LOSE_MONEY
      | ~ epred1_0 )
    & ( ~ cGAMBLER
      | cRAVENOUS
      | cLIKELY_LOSE_MONEY
      | ~ epred1_0 )
    & ( cLIVELY
      | ~ cHAS_LOST_MONEY
      | ~ cLIKELY_LOSE_MONEY
      | cRISES_AT_FIVE
      | ~ epred1_0 )
    & ( cGAMBLER
      | cEATS_PORKCHOPS
      | cRAVENOUS
      | ~ epred1_0 )
    & ( ~ cLIVELY
      | ~ cIN_BED_BEFORE_FOUR
      | cBETTER_TAKE_TO_CAB_DRIVING
      | ~ epred1_0 )
    & ( ~ cRAVENOUS
      | cHAS_LOST_MONEY
      | cRISES_AT_FIVE
      | cEATS_PORKCHOPS
      | ~ epred1_0 )
    & ( ~ cLOGICIAN
      | ~ cLIKELY_LOSE_MONEY
      | cBETTER_TAKE_TO_CAB_DRIVING
      | ~ epred1_0 )
    & ( ~ cEARNEST
      | cLIVELY
      | ~ cGAMBLER
      | cHAS_LOST_MONEY
      | ~ cLIKELY_LOSE_MONEY
      | ~ epred1_0 )
    & ( cGAMBLER
      | cRAVENOUS
      | cLIVELY
      | ~ epred1_0 )
    & ( ~ cLIVELY
      | ~ cLOGICIAN
      | ~ cEARNEST
      | ~ cLIKELY_LOSE_MONEY
      | ~ epred1_0 )
    & ( ~ cRAVENOUS
      | ~ cEARNEST
      | ~ cBETTER_TAKE_TO_CAB_DRIVING
      | ~ epred1_0 )
    & ( ~ cGAMBLER
      | cLIVELY
      | cLIKELY_LOSE_MONEY
      | ~ cIN_BED_BEFORE_FOUR
      | ~ epred1_0 )
    & ( ~ cHAS_LOST_MONEY
      | cEATS_PORKCHOPS
      | cRISES_AT_FIVE
      | cBETTER_TAKE_TO_CAB_DRIVING
      | ~ epred1_0 )
    & ( ~ cGAMBLER
      | ~ cIN_BED_BEFORE_FOUR
      | cRAVENOUS
      | ~ cBETTER_TAKE_TO_CAB_DRIVING
      | ~ epred1_0 )
    & ( ~ cRAVENOUS
      | cLIVELY
      | cLIKELY_LOSE_MONEY
      | cGAMBLER
      | ~ epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])]) ).

thf(c_0_5,negated_conjecture,
    ( epred1_0
    & cEARNEST
    & cLOGICIAN
    & ( ~ cRISES_AT_FIVE
      | cIN_BED_BEFORE_FOUR ) ),
    inference(fof_nnf,[status(thm)],[c_0_3]) ).

thf(c_0_6,plain,
    ( ~ cLIVELY
    | ~ cLOGICIAN
    | ~ cEARNEST
    | ~ cLIKELY_LOSE_MONEY
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_7,negated_conjecture,
    cLOGICIAN,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_8,negated_conjecture,
    cEARNEST,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_9,negated_conjecture,
    epred1_0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_10,plain,
    ( ~ cRAVENOUS
    | ~ cEARNEST
    | ~ cBETTER_TAKE_TO_CAB_DRIVING
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_11,plain,
    ( cBETTER_TAKE_TO_CAB_DRIVING
    | ~ cLOGICIAN
    | ~ cLIKELY_LOSE_MONEY
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_12,plain,
    ( cGAMBLER
    | cRAVENOUS
    | cLIVELY
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_13,plain,
    ( cLIVELY
    | cRISES_AT_FIVE
    | ~ cHAS_LOST_MONEY
    | ~ cLIKELY_LOSE_MONEY
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_14,plain,
    ( ~ cLIKELY_LOSE_MONEY
    | ~ cLIVELY ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9])]) ).

thf(c_0_15,plain,
    ( cLIVELY
    | cHAS_LOST_MONEY
    | ~ cEARNEST
    | ~ cGAMBLER
    | ~ cLIKELY_LOSE_MONEY
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_16,plain,
    ( ~ cRAVENOUS
    | ~ cBETTER_TAKE_TO_CAB_DRIVING ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_8]),c_0_9])]) ).

thf(c_0_17,plain,
    ( cBETTER_TAKE_TO_CAB_DRIVING
    | ~ cLIKELY_LOSE_MONEY ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_7]),c_0_9])]) ).

thf(c_0_18,plain,
    ( cLIVELY
    | cLIKELY_LOSE_MONEY
    | cGAMBLER
    | ~ cRAVENOUS
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_19,plain,
    ( cRAVENOUS
    | cLIVELY
    | cGAMBLER ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_9])]) ).

thf(c_0_20,plain,
    ( cRISES_AT_FIVE
    | ~ cLIKELY_LOSE_MONEY
    | ~ cHAS_LOST_MONEY ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_9])]),c_0_14]) ).

thf(c_0_21,plain,
    ( cHAS_LOST_MONEY
    | ~ cGAMBLER
    | ~ cLIKELY_LOSE_MONEY ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_8]),c_0_9])]),c_0_14]) ).

thf(c_0_22,plain,
    ( ~ cRAVENOUS
    | ~ cLIKELY_LOSE_MONEY ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

thf(c_0_23,plain,
    ( cLIVELY
    | cLIKELY_LOSE_MONEY
    | cGAMBLER ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_9])]),c_0_19]) ).

thf(c_0_24,plain,
    ( cLIKELY_LOSE_MONEY
    | ~ cLOGICIAN
    | ~ cEATS_PORKCHOPS
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_25,plain,
    ( cGAMBLER
    | cEATS_PORKCHOPS
    | cRAVENOUS
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_26,plain,
    ( cRAVENOUS
    | cLIKELY_LOSE_MONEY
    | ~ cGAMBLER
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_27,plain,
    ( cRAVENOUS
    | ~ cGAMBLER
    | ~ cIN_BED_BEFORE_FOUR
    | ~ cBETTER_TAKE_TO_CAB_DRIVING
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_28,negated_conjecture,
    ( cIN_BED_BEFORE_FOUR
    | ~ cRISES_AT_FIVE ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_29,plain,
    ( cRISES_AT_FIVE
    | ~ cLIKELY_LOSE_MONEY
    | ~ cGAMBLER ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

thf(c_0_30,plain,
    ( cLIVELY
    | cGAMBLER ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_19]),c_0_23]) ).

thf(c_0_31,plain,
    ( cEATS_PORKCHOPS
    | cRISES_AT_FIVE
    | cBETTER_TAKE_TO_CAB_DRIVING
    | ~ cHAS_LOST_MONEY
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_32,plain,
    ( cHAS_LOST_MONEY
    | cRISES_AT_FIVE
    | cEATS_PORKCHOPS
    | ~ cRAVENOUS
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_33,plain,
    ( cLIKELY_LOSE_MONEY
    | ~ cEATS_PORKCHOPS ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_7]),c_0_9])]) ).

thf(c_0_34,plain,
    ( cEATS_PORKCHOPS
    | cRAVENOUS
    | cGAMBLER ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_9])]) ).

thf(c_0_35,plain,
    ( cRAVENOUS
    | cLIKELY_LOSE_MONEY
    | ~ cGAMBLER ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_9])]) ).

thf(c_0_36,plain,
    ( ~ cIN_BED_BEFORE_FOUR
    | ~ cGAMBLER
    | ~ cBETTER_TAKE_TO_CAB_DRIVING ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_9])]),c_0_16]) ).

thf(c_0_37,negated_conjecture,
    ( cIN_BED_BEFORE_FOUR
    | ~ cLIKELY_LOSE_MONEY
    | ~ cGAMBLER ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

thf(c_0_38,plain,
    ( cGAMBLER
    | ~ cLIKELY_LOSE_MONEY ),
    inference(spm,[status(thm)],[c_0_14,c_0_30]) ).

thf(c_0_39,plain,
    ( cEATS_PORKCHOPS
    | cBETTER_TAKE_TO_CAB_DRIVING
    | cRISES_AT_FIVE
    | ~ cHAS_LOST_MONEY ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_9])]) ).

thf(c_0_40,plain,
    ( cHAS_LOST_MONEY
    | cEATS_PORKCHOPS
    | cRISES_AT_FIVE
    | ~ cRAVENOUS ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_9])]) ).

thf(c_0_41,plain,
    ( cRAVENOUS
    | cLIKELY_LOSE_MONEY ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).

thf(c_0_42,plain,
    ~ cLIKELY_LOSE_MONEY,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_17]),c_0_38]) ).

thf(c_0_43,plain,
    ( cEATS_PORKCHOPS
    | cRISES_AT_FIVE
    | ~ cRAVENOUS ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_16]) ).

thf(c_0_44,plain,
    cRAVENOUS,
    inference(sr,[status(thm)],[c_0_41,c_0_42]) ).

thf(c_0_45,plain,
    ( cRISES_AT_FIVE
    | cEATS_PORKCHOPS ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]) ).

thf(c_0_46,plain,
    ( cBETTER_TAKE_TO_CAB_DRIVING
    | ~ cLIVELY
    | ~ cIN_BED_BEFORE_FOUR
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_47,plain,
    cRISES_AT_FIVE,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_45]),c_0_42]) ).

thf(c_0_48,plain,
    ( cLIVELY
    | cLIKELY_LOSE_MONEY
    | ~ cGAMBLER
    | ~ cIN_BED_BEFORE_FOUR
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_49,plain,
    ( cBETTER_TAKE_TO_CAB_DRIVING
    | ~ cIN_BED_BEFORE_FOUR
    | ~ cLIVELY ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_9])]) ).

thf(c_0_50,negated_conjecture,
    cIN_BED_BEFORE_FOUR,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_47])]) ).

thf(c_0_51,plain,
    ~ cBETTER_TAKE_TO_CAB_DRIVING,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_44])]) ).

thf(c_0_52,plain,
    ( cLIVELY
    | cLIKELY_LOSE_MONEY
    | ~ cIN_BED_BEFORE_FOUR
    | ~ cGAMBLER ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_9])]) ).

thf(c_0_53,plain,
    ~ cLIVELY,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50])]),c_0_51]) ).

thf(c_0_54,plain,
    ~ cGAMBLER,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_50])]),c_0_42]),c_0_53]) ).

thf(c_0_55,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_30,c_0_53]),c_0_54]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : PUZ091^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n005.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Sat May 18 10:55:52 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.16/0.42  Running higher-order theorem proving
% 0.16/0.42  Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.44  # Version: 3.1.0-ho
% 0.16/0.44  # Preprocessing class: HSMSSLSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting new_ho_10 with 1500s (5) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_2 with 300s (1) cores
% 0.16/0.44  # new_bool_2 with pid 12430 completed with status 0
% 0.16/0.44  # Result found by new_bool_2
% 0.16/0.44  # Preprocessing class: HSMSSLSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting new_ho_10 with 1500s (5) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_2 with 300s (1) cores
% 0.16/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.44  # Search class: HGHNF-FFSS00-SFFFFFNN
% 0.16/0.44  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44  # Starting new_ho_10 with 163s (1) cores
% 0.16/0.44  # new_ho_10 with pid 12433 completed with status 0
% 0.16/0.44  # Result found by new_ho_10
% 0.16/0.44  # Preprocessing class: HSMSSLSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting new_ho_10 with 1500s (5) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_2 with 300s (1) cores
% 0.16/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.44  # Search class: HGHNF-FFSS00-SFFFFFNN
% 0.16/0.44  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44  # Starting new_ho_10 with 163s (1) cores
% 0.16/0.44  # Preprocessing time       : 0.001 s
% 0.16/0.44  # Presaturation interreduction done
% 0.16/0.44  
% 0.16/0.44  # Proof found!
% 0.16/0.44  # SZS status Theorem
% 0.16/0.44  # SZS output start CNFRefutation
% See solution above
% 0.16/0.44  # Parsed axioms                        : 12
% 0.16/0.44  # Removed by relevancy pruning/SinE    : 11
% 0.16/0.44  # Initial clauses                      : 19
% 0.16/0.44  # Removed in clause preprocessing      : 0
% 0.16/0.44  # Initial clauses in saturation        : 19
% 0.16/0.44  # Processed clauses                    : 55
% 0.16/0.44  # ...of these trivial                  : 0
% 0.16/0.44  # ...subsumed                          : 1
% 0.16/0.44  # ...remaining for further processing  : 53
% 0.16/0.44  # Other redundant clauses eliminated   : 0
% 0.16/0.44  # Clauses deleted for lack of memory   : 0
% 0.16/0.44  # Backward-subsumed                    : 14
% 0.16/0.44  # Backward-rewritten                   : 7
% 0.16/0.44  # Generated clauses                    : 19
% 0.16/0.44  # ...of the previous two non-redundant : 20
% 0.16/0.44  # ...aggressively subsumed             : 0
% 0.16/0.44  # Contextual simplify-reflections      : 9
% 0.16/0.44  # Paramodulations                      : 17
% 0.16/0.44  # Factorizations                       : 0
% 0.16/0.44  # NegExts                              : 0
% 0.16/0.44  # Equation resolutions                 : 0
% 0.16/0.44  # Disequality decompositions           : 0
% 0.16/0.44  # Total rewrite steps                  : 28
% 0.16/0.44  # ...of those cached                   : 22
% 0.16/0.44  # Propositional unsat checks           : 0
% 0.16/0.44  #    Propositional check models        : 0
% 0.16/0.44  #    Propositional check unsatisfiable : 0
% 0.16/0.44  #    Propositional clauses             : 0
% 0.16/0.44  #    Propositional clauses after purity: 0
% 0.16/0.44  #    Propositional unsat core size     : 0
% 0.16/0.44  #    Propositional preprocessing time  : 0.000
% 0.16/0.44  #    Propositional encoding time       : 0.000
% 0.16/0.44  #    Propositional solver time         : 0.000
% 0.16/0.44  #    Success case prop preproc time    : 0.000
% 0.16/0.44  #    Success case prop encoding time   : 0.000
% 0.16/0.44  #    Success case prop solver time     : 0.000
% 0.16/0.44  # Current number of processed clauses  : 11
% 0.16/0.44  #    Positive orientable unit clauses  : 6
% 0.16/0.44  #    Positive unorientable unit clauses: 0
% 0.16/0.44  #    Negative unit clauses             : 4
% 0.16/0.44  #    Non-unit-clauses                  : 1
% 0.16/0.44  # Current number of unprocessed clauses: 2
% 0.16/0.44  # ...number of literals in the above   : 7
% 0.16/0.44  # Current number of archived formulas  : 0
% 0.16/0.44  # Current number of archived clauses   : 42
% 0.16/0.44  # Clause-clause subsumption calls (NU) : 270
% 0.16/0.44  # Rec. Clause-clause subsumption calls : 201
% 0.16/0.44  # Non-unit clause-clause subsumptions  : 15
% 0.16/0.44  # Unit Clause-clause subsumption calls : 20
% 0.16/0.44  # Rewrite failures with RHS unbound    : 0
% 0.16/0.44  # BW rewrite match attempts            : 3
% 0.16/0.44  # BW rewrite match successes           : 3
% 0.16/0.44  # Condensation attempts                : 55
% 0.16/0.44  # Condensation successes               : 0
% 0.16/0.44  # Termbank termtop insertions          : 1822
% 0.16/0.44  # Search garbage collected termcells   : 144
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.005 s
% 0.16/0.44  # System time              : 0.002 s
% 0.16/0.44  # Total time               : 0.006 s
% 0.16/0.44  # Maximum resident set size: 1788 pages
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.006 s
% 0.16/0.44  # System time              : 0.003 s
% 0.16/0.44  # Total time               : 0.009 s
% 0.16/0.44  # Maximum resident set size: 1696 pages
% 0.16/0.44  % E---3.1 exiting
% 0.16/0.44  % E exiting
%------------------------------------------------------------------------------