TSTP Solution File: PUZ061+1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : PUZ061+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n026.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  : 600s
% DateTime : Mon Jul 18 18:19:33 EDT 2022

% Result   : Theorem 0.19s 0.42s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   71 (  43 unt;  11 typ;   0 def)
%            Number of atoms       :  419 (  80 equ;   0 cnn)
%            Maximal formula atoms :   17 (   6 avg)
%            Number of connectives :  653 (  40   ~;  48   |;  92   &; 414   @)
%                                         (   0 <=>;  59  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :  167 (   0   ^ 157   !;  10   ?; 167   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_alive,type,
    alive: $i > $o ).

thf(tp_eats,type,
    eats: $i > $i > $o ).

thf(tp_food,type,
    food: $i > $o ).

thf(tp_likes,type,
    likes: $i > $i > $o ).

thf(tp_not_killed_by,type,
    not_killed_by: $i > $i > $o ).

thf(tp_sK1_Peanuts,type,
    sK1_Peanuts: $i ).

thf(tp_sK2_SY14,type,
    sK2_SY14: $i ).

thf(tp_sK3_SY27,type,
    sK3_SY27: $i ).

thf(tp_sK4_SY39,type,
    sK4_SY39: $i ).

thf(tp_sK5_SY50,type,
    sK5_SY50: $i ).

thf(tp_sK6_SY60,type,
    sK6_SY60: $i ).

thf(1,conjecture,
    ! [Peanuts: $i,John: $i,Bill: $i,Sue: $i,Apples: $i,Chicken: $i] :
      ( ( ! [X: $i,Y: $i] :
            ( ( ( alive @ Y )
              & ( eats @ Y @ Chicken ) )
           => ( likes @ Y @ X ) )
        & ! [X: $i] :
            ( ( food @ X )
           => ( likes @ John @ X ) )
        & ( food @ Apples )
        & ( food @ Chicken )
        & ! [X: $i] :
            ( ? [Y: $i] :
                ( ( eats @ Y @ X )
                & ( not_killed_by @ Y @ X ) )
           => ( food @ X ) )
        & ( eats @ Bill @ Peanuts )
        & ( alive @ Bill )
        & ! [X: $i] :
            ( ( eats @ Bill @ X )
           => ( eats @ Sue @ X ) )
        & ! [Y: $i] :
            ( ( alive @ Y )
           => ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
     => ( likes @ John @ Peanuts ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

thf(2,negated_conjecture,
    ( ( ! [Peanuts: $i,John: $i,Bill: $i,Sue: $i,Apples: $i,Chicken: $i] :
          ( ( ! [X: $i,Y: $i] :
                ( ( ( alive @ Y )
                  & ( eats @ Y @ Chicken ) )
               => ( likes @ Y @ X ) )
            & ! [X: $i] :
                ( ( food @ X )
               => ( likes @ John @ X ) )
            & ( food @ Apples )
            & ( food @ Chicken )
            & ! [X: $i] :
                ( ? [Y: $i] :
                    ( ( eats @ Y @ X )
                    & ( not_killed_by @ Y @ X ) )
               => ( food @ X ) )
            & ( eats @ Bill @ Peanuts )
            & ( alive @ Bill )
            & ! [X: $i] :
                ( ( eats @ Bill @ X )
               => ( eats @ Sue @ X ) )
            & ! [Y: $i] :
                ( ( alive @ Y )
               => ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
         => ( likes @ John @ Peanuts ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ! [Peanuts: $i,John: $i,Bill: $i,Sue: $i,Apples: $i,Chicken: $i] :
          ( ( ! [X: $i,Y: $i] :
                ( ( ( alive @ Y )
                  & ( eats @ Y @ Chicken ) )
               => ( likes @ Y @ X ) )
            & ! [X: $i] :
                ( ( food @ X )
               => ( likes @ John @ X ) )
            & ( food @ Apples )
            & ( food @ Chicken )
            & ! [X: $i] :
                ( ? [Y: $i] :
                    ( ( eats @ Y @ X )
                    & ( not_killed_by @ Y @ X ) )
               => ( food @ X ) )
            & ( eats @ Bill @ Peanuts )
            & ( alive @ Bill )
            & ! [X: $i] :
                ( ( eats @ Bill @ X )
               => ( eats @ Sue @ X ) )
            & ! [Y: $i] :
                ( ( alive @ Y )
               => ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
         => ( likes @ John @ Peanuts ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ! [SY14: $i,SY15: $i,SY16: $i,SY17: $i,SY18: $i] :
          ( ( ! [X: $i,Y: $i] :
                ( ( ( alive @ Y )
                  & ( eats @ Y @ SY18 ) )
               => ( likes @ Y @ X ) )
            & ! [X: $i] :
                ( ( food @ X )
               => ( likes @ SY14 @ X ) )
            & ( food @ SY17 )
            & ( food @ SY18 )
            & ! [X: $i] :
                ( ? [Y: $i] :
                    ( ( eats @ Y @ X )
                    & ( not_killed_by @ Y @ X ) )
               => ( food @ X ) )
            & ( eats @ SY15 @ sK1_Peanuts )
            & ( alive @ SY15 )
            & ! [X: $i] :
                ( ( eats @ SY15 @ X )
               => ( eats @ SY16 @ X ) )
            & ! [Y: $i] :
                ( ( alive @ Y )
               => ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
         => ( likes @ SY14 @ sK1_Peanuts ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[3]) ).

thf(5,plain,
    ( ( ! [SY27: $i,SY28: $i,SY29: $i,SY30: $i] :
          ( ( ! [X: $i,Y: $i] :
                ( ( ( alive @ Y )
                  & ( eats @ Y @ SY30 ) )
               => ( likes @ Y @ X ) )
            & ! [SY33: $i] :
                ( ( food @ SY33 )
               => ( likes @ sK2_SY14 @ SY33 ) )
            & ( food @ SY29 )
            & ( food @ SY30 )
            & ! [X: $i] :
                ( ? [Y: $i] :
                    ( ( eats @ Y @ X )
                    & ( not_killed_by @ Y @ X ) )
               => ( food @ X ) )
            & ( eats @ SY27 @ sK1_Peanuts )
            & ( alive @ SY27 )
            & ! [X: $i] :
                ( ( eats @ SY27 @ X )
               => ( eats @ SY28 @ X ) )
            & ! [Y: $i] :
                ( ( alive @ Y )
               => ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
         => ( likes @ sK2_SY14 @ sK1_Peanuts ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[4]) ).

thf(6,plain,
    ( ( ! [SY39: $i,SY40: $i,SY41: $i] :
          ( ( ! [X: $i,Y: $i] :
                ( ( ( alive @ Y )
                  & ( eats @ Y @ SY41 ) )
               => ( likes @ Y @ X ) )
            & ! [SY33: $i] :
                ( ( food @ SY33 )
               => ( likes @ sK2_SY14 @ SY33 ) )
            & ( food @ SY40 )
            & ( food @ SY41 )
            & ! [X: $i] :
                ( ? [Y: $i] :
                    ( ( eats @ Y @ X )
                    & ( not_killed_by @ Y @ X ) )
               => ( food @ X ) )
            & ( eats @ sK3_SY27 @ sK1_Peanuts )
            & ( alive @ sK3_SY27 )
            & ! [SY47: $i] :
                ( ( eats @ sK3_SY27 @ SY47 )
               => ( eats @ SY39 @ SY47 ) )
            & ! [Y: $i] :
                ( ( alive @ Y )
               => ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
         => ( likes @ sK2_SY14 @ sK1_Peanuts ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[5]) ).

thf(7,plain,
    ( ( ! [SY50: $i,SY51: $i] :
          ( ( ! [X: $i,Y: $i] :
                ( ( ( alive @ Y )
                  & ( eats @ Y @ SY51 ) )
               => ( likes @ Y @ X ) )
            & ! [SY33: $i] :
                ( ( food @ SY33 )
               => ( likes @ sK2_SY14 @ SY33 ) )
            & ( food @ SY50 )
            & ( food @ SY51 )
            & ! [X: $i] :
                ( ? [Y: $i] :
                    ( ( eats @ Y @ X )
                    & ( not_killed_by @ Y @ X ) )
               => ( food @ X ) )
            & ( eats @ sK3_SY27 @ sK1_Peanuts )
            & ( alive @ sK3_SY27 )
            & ! [SY57: $i] :
                ( ( eats @ sK3_SY27 @ SY57 )
               => ( eats @ sK4_SY39 @ SY57 ) )
            & ! [Y: $i] :
                ( ( alive @ Y )
               => ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
         => ( likes @ sK2_SY14 @ sK1_Peanuts ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[6]) ).

thf(8,plain,
    ( ( ! [SY60: $i] :
          ( ( ! [X: $i,Y: $i] :
                ( ( ( alive @ Y )
                  & ( eats @ Y @ SY60 ) )
               => ( likes @ Y @ X ) )
            & ! [SY33: $i] :
                ( ( food @ SY33 )
               => ( likes @ sK2_SY14 @ SY33 ) )
            & ( food @ sK5_SY50 )
            & ( food @ SY60 )
            & ! [X: $i] :
                ( ? [Y: $i] :
                    ( ( eats @ Y @ X )
                    & ( not_killed_by @ Y @ X ) )
               => ( food @ X ) )
            & ( eats @ sK3_SY27 @ sK1_Peanuts )
            & ( alive @ sK3_SY27 )
            & ! [SY57: $i] :
                ( ( eats @ sK3_SY27 @ SY57 )
               => ( eats @ sK4_SY39 @ SY57 ) )
            & ! [Y: $i] :
                ( ( alive @ Y )
               => ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
         => ( likes @ sK2_SY14 @ sK1_Peanuts ) ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[7]) ).

thf(9,plain,
    ( ( ( ! [SY69: $i,SY70: $i] :
            ( ( ( alive @ SY70 )
              & ( eats @ SY70 @ sK6_SY60 ) )
           => ( likes @ SY70 @ SY69 ) )
        & ! [SY33: $i] :
            ( ( food @ SY33 )
           => ( likes @ sK2_SY14 @ SY33 ) )
        & ( food @ sK5_SY50 )
        & ( food @ sK6_SY60 )
        & ! [X: $i] :
            ( ? [Y: $i] :
                ( ( eats @ Y @ X )
                & ( not_killed_by @ Y @ X ) )
           => ( food @ X ) )
        & ( eats @ sK3_SY27 @ sK1_Peanuts )
        & ( alive @ sK3_SY27 )
        & ! [SY57: $i] :
            ( ( eats @ sK3_SY27 @ SY57 )
           => ( eats @ sK4_SY39 @ SY57 ) )
        & ! [Y: $i] :
            ( ( alive @ Y )
           => ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
     => ( likes @ sK2_SY14 @ sK1_Peanuts ) )
    = $false ),
    inference(extcnf_forall_neg,[status(esa)],[8]) ).

thf(10,plain,
    ( ( ! [SY69: $i,SY70: $i] :
          ( ( ( alive @ SY70 )
            & ( eats @ SY70 @ sK6_SY60 ) )
         => ( likes @ SY70 @ SY69 ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[9]) ).

thf(11,plain,
    ( ( ! [SY33: $i] :
          ( ( food @ SY33 )
         => ( likes @ sK2_SY14 @ SY33 ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[9]) ).

thf(12,plain,
    ( ( food @ sK5_SY50 )
    = $true ),
    inference(standard_cnf,[status(thm)],[9]) ).

thf(13,plain,
    ( ( food @ sK6_SY60 )
    = $true ),
    inference(standard_cnf,[status(thm)],[9]) ).

thf(14,plain,
    ( ( ! [X: $i] :
          ( ? [Y: $i] :
              ( ( eats @ Y @ X )
              & ( not_killed_by @ Y @ X ) )
         => ( food @ X ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[9]) ).

thf(15,plain,
    ( ( eats @ sK3_SY27 @ sK1_Peanuts )
    = $true ),
    inference(standard_cnf,[status(thm)],[9]) ).

thf(16,plain,
    ( ( alive @ sK3_SY27 )
    = $true ),
    inference(standard_cnf,[status(thm)],[9]) ).

thf(17,plain,
    ( ( ! [SY57: $i] :
          ( ( eats @ sK3_SY27 @ SY57 )
         => ( eats @ sK4_SY39 @ SY57 ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[9]) ).

thf(18,plain,
    ( ( ! [Y: $i] :
          ( ( alive @ Y )
         => ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[9]) ).

thf(19,plain,
    ( ( likes @ sK2_SY14 @ sK1_Peanuts )
    = $false ),
    inference(standard_cnf,[status(thm)],[9]) ).

thf(20,plain,
    ( ( ~ ( likes @ sK2_SY14 @ sK1_Peanuts ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[19]) ).

thf(21,plain,
    ( ( ! [SY69: $i,SY70: $i] :
          ( ~ ( alive @ SY70 )
          | ~ ( eats @ SY70 @ sK6_SY60 )
          | ( likes @ SY70 @ SY69 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[10]) ).

thf(22,plain,
    ( ( ! [SY33: $i] :
          ( ~ ( food @ SY33 )
          | ( likes @ sK2_SY14 @ SY33 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[11]) ).

thf(23,plain,
    ( ( ! [X: $i] :
          ( ! [Y: $i] :
              ( ~ ( eats @ Y @ X )
              | ~ ( not_killed_by @ Y @ X ) )
          | ( food @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[14]) ).

thf(24,plain,
    ( ( ! [SY57: $i] :
          ( ~ ( eats @ sK3_SY27 @ SY57 )
          | ( eats @ sK4_SY39 @ SY57 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[17]) ).

thf(25,plain,
    ( ( ! [Y: $i] :
          ( ~ ( alive @ Y )
          | ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[18]) ).

thf(26,plain,
    ( ( ! [Y: $i] :
          ( ~ ( alive @ Y )
          | ! [X: $i] : ( not_killed_by @ Y @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(27,plain,
    ( ( ! [SY57: $i] :
          ( ~ ( eats @ sK3_SY27 @ SY57 )
          | ( eats @ sK4_SY39 @ SY57 ) ) )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(28,plain,
    ( ( alive @ sK3_SY27 )
    = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(29,plain,
    ( ( eats @ sK3_SY27 @ sK1_Peanuts )
    = $true ),
    inference(copy,[status(thm)],[15]) ).

thf(30,plain,
    ( ( ! [X: $i] :
          ( ! [Y: $i] :
              ( ~ ( eats @ Y @ X )
              | ~ ( not_killed_by @ Y @ X ) )
          | ( food @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[23]) ).

thf(31,plain,
    ( ( food @ sK6_SY60 )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(32,plain,
    ( ( food @ sK5_SY50 )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(33,plain,
    ( ( ! [SY33: $i] :
          ( ~ ( food @ SY33 )
          | ( likes @ sK2_SY14 @ SY33 ) ) )
    = $true ),
    inference(copy,[status(thm)],[22]) ).

thf(34,plain,
    ( ( ! [SY69: $i,SY70: $i] :
          ( ~ ( alive @ SY70 )
          | ~ ( eats @ SY70 @ sK6_SY60 )
          | ( likes @ SY70 @ SY69 ) ) )
    = $true ),
    inference(copy,[status(thm)],[21]) ).

thf(35,plain,
    ( ( ~ ( likes @ sK2_SY14 @ sK1_Peanuts ) )
    = $true ),
    inference(copy,[status(thm)],[20]) ).

thf(36,plain,
    ! [SV1: $i] :
      ( ( ~ ( alive @ SV1 )
        | ! [SY77: $i] : ( not_killed_by @ SV1 @ SY77 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[26]) ).

thf(37,plain,
    ! [SV2: $i] :
      ( ( ~ ( eats @ sK3_SY27 @ SV2 )
        | ( eats @ sK4_SY39 @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[27]) ).

thf(38,plain,
    ! [SV3: $i] :
      ( ( ! [SY78: $i] :
            ( ~ ( eats @ SY78 @ SV3 )
            | ~ ( not_killed_by @ SY78 @ SV3 ) )
        | ( food @ SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[30]) ).

thf(39,plain,
    ! [SV4: $i] :
      ( ( ~ ( food @ SV4 )
        | ( likes @ sK2_SY14 @ SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[33]) ).

thf(40,plain,
    ! [SV5: $i] :
      ( ( ! [SY79: $i] :
            ( ~ ( alive @ SY79 )
            | ~ ( eats @ SY79 @ sK6_SY60 )
            | ( likes @ SY79 @ SV5 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[34]) ).

thf(41,plain,
    ( ( likes @ sK2_SY14 @ sK1_Peanuts )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[35]) ).

thf(42,plain,
    ! [SV1: $i] :
      ( ( ( ~ ( alive @ SV1 ) )
        = $true )
      | ( ( ! [SY77: $i] : ( not_killed_by @ SV1 @ SY77 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[36]) ).

thf(43,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( eats @ sK3_SY27 @ SV2 ) )
        = $true )
      | ( ( eats @ sK4_SY39 @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[37]) ).

thf(44,plain,
    ! [SV3: $i] :
      ( ( ( ! [SY78: $i] :
              ( ~ ( eats @ SY78 @ SV3 )
              | ~ ( not_killed_by @ SY78 @ SV3 ) ) )
        = $true )
      | ( ( food @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[38]) ).

thf(45,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( food @ SV4 ) )
        = $true )
      | ( ( likes @ sK2_SY14 @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[39]) ).

thf(46,plain,
    ! [SV5: $i,SV6: $i] :
      ( ( ~ ( alive @ SV6 )
        | ~ ( eats @ SV6 @ sK6_SY60 )
        | ( likes @ SV6 @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[40]) ).

thf(47,plain,
    ! [SV1: $i] :
      ( ( ( alive @ SV1 )
        = $false )
      | ( ( ! [SY77: $i] : ( not_killed_by @ SV1 @ SY77 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[42]) ).

thf(48,plain,
    ! [SV2: $i] :
      ( ( ( eats @ sK3_SY27 @ SV2 )
        = $false )
      | ( ( eats @ sK4_SY39 @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[43]) ).

thf(49,plain,
    ! [SV3: $i,SV7: $i] :
      ( ( ( ~ ( eats @ SV7 @ SV3 )
          | ~ ( not_killed_by @ SV7 @ SV3 ) )
        = $true )
      | ( ( food @ SV3 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[44]) ).

thf(50,plain,
    ! [SV4: $i] :
      ( ( ( food @ SV4 )
        = $false )
      | ( ( likes @ sK2_SY14 @ SV4 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[45]) ).

thf(51,plain,
    ! [SV5: $i,SV6: $i] :
      ( ( ( ~ ( alive @ SV6 )
          | ~ ( eats @ SV6 @ sK6_SY60 ) )
        = $true )
      | ( ( likes @ SV6 @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[46]) ).

thf(52,plain,
    ! [SV8: $i,SV1: $i] :
      ( ( ( not_killed_by @ SV1 @ SV8 )
        = $true )
      | ( ( alive @ SV1 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[47]) ).

thf(53,plain,
    ! [SV3: $i,SV7: $i] :
      ( ( ( ~ ( eats @ SV7 @ SV3 ) )
        = $true )
      | ( ( ~ ( not_killed_by @ SV7 @ SV3 ) )
        = $true )
      | ( ( food @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[49]) ).

thf(54,plain,
    ! [SV5: $i,SV6: $i] :
      ( ( ( ~ ( alive @ SV6 ) )
        = $true )
      | ( ( ~ ( eats @ SV6 @ sK6_SY60 ) )
        = $true )
      | ( ( likes @ SV6 @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[51]) ).

thf(55,plain,
    ! [SV3: $i,SV7: $i] :
      ( ( ( eats @ SV7 @ SV3 )
        = $false )
      | ( ( ~ ( not_killed_by @ SV7 @ SV3 ) )
        = $true )
      | ( ( food @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[53]) ).

thf(56,plain,
    ! [SV5: $i,SV6: $i] :
      ( ( ( alive @ SV6 )
        = $false )
      | ( ( ~ ( eats @ SV6 @ sK6_SY60 ) )
        = $true )
      | ( ( likes @ SV6 @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[54]) ).

thf(57,plain,
    ! [SV3: $i,SV7: $i] :
      ( ( ( not_killed_by @ SV7 @ SV3 )
        = $false )
      | ( ( eats @ SV7 @ SV3 )
        = $false )
      | ( ( food @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[55]) ).

thf(58,plain,
    ! [SV5: $i,SV6: $i] :
      ( ( ( eats @ SV6 @ sK6_SY60 )
        = $false )
      | ( ( alive @ SV6 )
        = $false )
      | ( ( likes @ SV6 @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[56]) ).

thf(59,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[28,58,57,52,50,48,41,32,31,29]) ).

thf(60,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[59]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : PUZ061+1 : TPTP v8.1.0. Released v3.1.0.
% 0.09/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat May 28 21:42:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  
% 0.12/0.35   No.of.Axioms: 0
% 0.12/0.35  
% 0.12/0.35   Length.of.Defs: 0
% 0.12/0.35  
% 0.12/0.35   Contains.Choice.Funs: false
% 0.12/0.36  (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.19/0.42  
% 0.19/0.42  ********************************
% 0.19/0.42  *   All subproblems solved!    *
% 0.19/0.42  ********************************
% 0.19/0.42  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:9,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:59,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.43  
% 0.19/0.43  %**** Beginning of derivation protocol ****
% 0.19/0.43  % SZS output start CNFRefutation
% See solution above
% 0.19/0.43  
% 0.19/0.43  %**** End of derivation protocol ****
% 0.19/0.43  %**** no. of clauses in derivation: 60 ****
% 0.19/0.43  %**** clause counter: 59 ****
% 0.19/0.43  
% 0.19/0.43  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:9,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:59,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------