TSTP Solution File: PUZ001+2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ001+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n027.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 : Wed May  1 03:38:08 EDT 2024

% Result   : Theorem 0.74s 0.90s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   70 (  18 unt;   0 def)
%            Number of atoms       :  389 (  97 equ)
%            Maximal formula atoms :   50 (   5 avg)
%            Number of connectives :  466 ( 147   ~; 115   |; 160   &)
%                                         (   5 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (   9 usr;   7 prp; 0-4 aty)
%            Number of functors    :   19 (  19 usr;  13 con; 0-2 aty)
%            Number of variables   :  318 ( 212   !; 106   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f126,plain,
    $false,
    inference(avatar_sat_refutation,[],[f70,f72,f91,f110,f118,f125]) ).

fof(f125,plain,
    ( ~ spl9_1
    | ~ spl9_3 ),
    inference(avatar_contradiction_clause,[],[f124]) ).

fof(f124,plain,
    ( $false
    | ~ spl9_1
    | ~ spl9_3 ),
    inference(resolution,[],[f119,f73]) ).

fof(f73,plain,
    ( ! [X0] : ~ predicate2(X0,kill,'Butler','AuntAgatha')
    | ~ spl9_1 ),
    inference(resolution,[],[f64,f34]) ).

fof(f34,plain,
    ! [X21,X19,X20] :
      ( ~ property2(X21,rich,comp_than,X19)
      | ~ predicate2(X20,kill,X21,X19) ),
    inference(equality_resolution,[],[f24]) ).

fof(f24,plain,
    ! [X21,X18,X19,X20] :
      ( X18 != X21
      | ~ property2(X21,rich,comp_than,X19)
      | ~ predicate2(X20,kill,X18,X19) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ( 'AuntAgatha' != 'Butler'
    & ! [X3,X5] : ~ predicate2(X5,hate,X3,sK3(X3))
    & ! [X6,X7] :
        ( predicate2(sK4(X6),hate,'Butler',X6)
        | ~ predicate2(X7,hate,'AuntAgatha',X6) )
    & ! [X9] :
        ( predicate2(sK5(X9),hate,'Butler',X9)
        | ( sK6(X9) = X9
          & property2(sK6(X9),rich,comp_than,'AuntAgatha') ) )
    & ! [X12] :
        ( predicate2(sK7(X12),hate,'AuntAgatha',X12)
        | 'Butler' = X12 )
    & ! [X14] : ~ predicate2(X14,hate,'AuntAgatha','Butler')
    & ! [X15,X16] :
        ( ! [X17] : ~ predicate2(X17,hate,'Charles',X15)
        | ~ predicate2(X16,hate,'AuntAgatha',X15) )
    & ! [X18,X19,X20,X21] :
        ( X18 != X21
        | ~ property2(X21,rich,comp_than,X19)
        | ~ predicate2(X20,kill,X18,X19) )
    & ! [X22,X23,X24] :
        ( predicate2(sK8(X22,X23),hate,X22,X23)
        | ~ predicate2(X24,kill,X22,X23) )
    & ! [X26,X27] :
        ( 'Charles' = X26
        | 'Butler' = X26
        | 'AuntAgatha' = X26
        | ~ modifier_pp(X27,in,'DreadburyMansion')
        | ~ predicate1(X27,live,X26) )
    & predicate2(sK2,kill,sK0,'AuntAgatha')
    & modifier_pp(sK1,in,'DreadburyMansion')
    & predicate1(sK1,live,sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f10,f17,f16,f15,f14,f13,f12,f11]) ).

fof(f11,plain,
    ( ? [X0,X1,X2] :
        ( 'AuntAgatha' != 'Butler'
        & ! [X3] :
          ? [X4] :
          ! [X5] : ~ predicate2(X5,hate,X3,X4)
        & ! [X6,X7] :
            ( ? [X8] : predicate2(X8,hate,'Butler',X6)
            | ~ predicate2(X7,hate,'AuntAgatha',X6) )
        & ! [X9] :
            ( ? [X10] : predicate2(X10,hate,'Butler',X9)
            | ? [X11] :
                ( X9 = X11
                & property2(X11,rich,comp_than,'AuntAgatha') ) )
        & ! [X12] :
            ( ? [X13] : predicate2(X13,hate,'AuntAgatha',X12)
            | 'Butler' = X12 )
        & ! [X14] : ~ predicate2(X14,hate,'AuntAgatha','Butler')
        & ! [X15,X16] :
            ( ! [X17] : ~ predicate2(X17,hate,'Charles',X15)
            | ~ predicate2(X16,hate,'AuntAgatha',X15) )
        & ! [X18,X19,X20,X21] :
            ( X18 != X21
            | ~ property2(X21,rich,comp_than,X19)
            | ~ predicate2(X20,kill,X18,X19) )
        & ! [X22,X23,X24] :
            ( ? [X25] : predicate2(X25,hate,X22,X23)
            | ~ predicate2(X24,kill,X22,X23) )
        & ! [X26,X27] :
            ( 'Charles' = X26
            | 'Butler' = X26
            | 'AuntAgatha' = X26
            | ~ modifier_pp(X27,in,'DreadburyMansion')
            | ~ predicate1(X27,live,X26) )
        & predicate2(X2,kill,X0,'AuntAgatha')
        & modifier_pp(X1,in,'DreadburyMansion')
        & predicate1(X1,live,X0) )
   => ( 'AuntAgatha' != 'Butler'
      & ! [X3] :
        ? [X4] :
        ! [X5] : ~ predicate2(X5,hate,X3,X4)
      & ! [X6,X7] :
          ( ? [X8] : predicate2(X8,hate,'Butler',X6)
          | ~ predicate2(X7,hate,'AuntAgatha',X6) )
      & ! [X9] :
          ( ? [X10] : predicate2(X10,hate,'Butler',X9)
          | ? [X11] :
              ( X9 = X11
              & property2(X11,rich,comp_than,'AuntAgatha') ) )
      & ! [X12] :
          ( ? [X13] : predicate2(X13,hate,'AuntAgatha',X12)
          | 'Butler' = X12 )
      & ! [X14] : ~ predicate2(X14,hate,'AuntAgatha','Butler')
      & ! [X15,X16] :
          ( ! [X17] : ~ predicate2(X17,hate,'Charles',X15)
          | ~ predicate2(X16,hate,'AuntAgatha',X15) )
      & ! [X18,X19,X20,X21] :
          ( X18 != X21
          | ~ property2(X21,rich,comp_than,X19)
          | ~ predicate2(X20,kill,X18,X19) )
      & ! [X22,X23,X24] :
          ( ? [X25] : predicate2(X25,hate,X22,X23)
          | ~ predicate2(X24,kill,X22,X23) )
      & ! [X26,X27] :
          ( 'Charles' = X26
          | 'Butler' = X26
          | 'AuntAgatha' = X26
          | ~ modifier_pp(X27,in,'DreadburyMansion')
          | ~ predicate1(X27,live,X26) )
      & predicate2(sK2,kill,sK0,'AuntAgatha')
      & modifier_pp(sK1,in,'DreadburyMansion')
      & predicate1(sK1,live,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f12,plain,
    ! [X3] :
      ( ? [X4] :
        ! [X5] : ~ predicate2(X5,hate,X3,X4)
     => ! [X5] : ~ predicate2(X5,hate,X3,sK3(X3)) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ! [X6] :
      ( ? [X8] : predicate2(X8,hate,'Butler',X6)
     => predicate2(sK4(X6),hate,'Butler',X6) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ! [X9] :
      ( ? [X10] : predicate2(X10,hate,'Butler',X9)
     => predicate2(sK5(X9),hate,'Butler',X9) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ! [X9] :
      ( ? [X11] :
          ( X9 = X11
          & property2(X11,rich,comp_than,'AuntAgatha') )
     => ( sK6(X9) = X9
        & property2(sK6(X9),rich,comp_than,'AuntAgatha') ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ! [X12] :
      ( ? [X13] : predicate2(X13,hate,'AuntAgatha',X12)
     => predicate2(sK7(X12),hate,'AuntAgatha',X12) ),
    introduced(choice_axiom,[]) ).

fof(f17,plain,
    ! [X22,X23] :
      ( ? [X25] : predicate2(X25,hate,X22,X23)
     => predicate2(sK8(X22,X23),hate,X22,X23) ),
    introduced(choice_axiom,[]) ).

fof(f10,plain,
    ? [X0,X1,X2] :
      ( 'AuntAgatha' != 'Butler'
      & ! [X3] :
        ? [X4] :
        ! [X5] : ~ predicate2(X5,hate,X3,X4)
      & ! [X6,X7] :
          ( ? [X8] : predicate2(X8,hate,'Butler',X6)
          | ~ predicate2(X7,hate,'AuntAgatha',X6) )
      & ! [X9] :
          ( ? [X10] : predicate2(X10,hate,'Butler',X9)
          | ? [X11] :
              ( X9 = X11
              & property2(X11,rich,comp_than,'AuntAgatha') ) )
      & ! [X12] :
          ( ? [X13] : predicate2(X13,hate,'AuntAgatha',X12)
          | 'Butler' = X12 )
      & ! [X14] : ~ predicate2(X14,hate,'AuntAgatha','Butler')
      & ! [X15,X16] :
          ( ! [X17] : ~ predicate2(X17,hate,'Charles',X15)
          | ~ predicate2(X16,hate,'AuntAgatha',X15) )
      & ! [X18,X19,X20,X21] :
          ( X18 != X21
          | ~ property2(X21,rich,comp_than,X19)
          | ~ predicate2(X20,kill,X18,X19) )
      & ! [X22,X23,X24] :
          ( ? [X25] : predicate2(X25,hate,X22,X23)
          | ~ predicate2(X24,kill,X22,X23) )
      & ! [X26,X27] :
          ( 'Charles' = X26
          | 'Butler' = X26
          | 'AuntAgatha' = X26
          | ~ modifier_pp(X27,in,'DreadburyMansion')
          | ~ predicate1(X27,live,X26) )
      & predicate2(X2,kill,X0,'AuntAgatha')
      & modifier_pp(X1,in,'DreadburyMansion')
      & predicate1(X1,live,X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,plain,
    ? [X0,X1,X2] :
      ( 'AuntAgatha' != 'Butler'
      & ! [X3] :
        ? [X4] :
        ! [X5] : ~ predicate2(X5,hate,X3,X4)
      & ! [X6,X7] :
          ( ? [X8] : predicate2(X8,hate,'Butler',X6)
          | ~ predicate2(X7,hate,'AuntAgatha',X6) )
      & ! [X9] :
          ( ? [X11] : predicate2(X11,hate,'Butler',X9)
          | ? [X10] :
              ( X9 = X10
              & property2(X10,rich,comp_than,'AuntAgatha') ) )
      & ! [X12] :
          ( ? [X13] : predicate2(X13,hate,'AuntAgatha',X12)
          | 'Butler' = X12 )
      & ! [X14] : ~ predicate2(X14,hate,'AuntAgatha','Butler')
      & ! [X15,X16] :
          ( ! [X17] : ~ predicate2(X17,hate,'Charles',X15)
          | ~ predicate2(X16,hate,'AuntAgatha',X15) )
      & ! [X18,X19,X20,X21] :
          ( X18 != X21
          | ~ property2(X21,rich,comp_than,X19)
          | ~ predicate2(X20,kill,X18,X19) )
      & ! [X22,X23,X24] :
          ( ? [X25] : predicate2(X25,hate,X22,X23)
          | ~ predicate2(X24,kill,X22,X23) )
      & ! [X26,X27] :
          ( 'Charles' = X26
          | 'Butler' = X26
          | 'AuntAgatha' = X26
          | ~ modifier_pp(X27,in,'DreadburyMansion')
          | ~ predicate1(X27,live,X26) )
      & predicate2(X2,kill,X0,'AuntAgatha')
      & modifier_pp(X1,in,'DreadburyMansion')
      & predicate1(X1,live,X0) ),
    inference(flattening,[],[f7]) ).

fof(f7,plain,
    ? [X0,X1,X2] :
      ( 'AuntAgatha' != 'Butler'
      & ! [X3] :
        ? [X4] :
        ! [X5] : ~ predicate2(X5,hate,X3,X4)
      & ! [X6,X7] :
          ( ? [X8] : predicate2(X8,hate,'Butler',X6)
          | ~ predicate2(X7,hate,'AuntAgatha',X6) )
      & ! [X9] :
          ( ? [X11] : predicate2(X11,hate,'Butler',X9)
          | ? [X10] :
              ( X9 = X10
              & property2(X10,rich,comp_than,'AuntAgatha') ) )
      & ! [X12] :
          ( ? [X13] : predicate2(X13,hate,'AuntAgatha',X12)
          | 'Butler' = X12 )
      & ! [X14] : ~ predicate2(X14,hate,'AuntAgatha','Butler')
      & ! [X15,X16] :
          ( ! [X17] : ~ predicate2(X17,hate,'Charles',X15)
          | ~ predicate2(X16,hate,'AuntAgatha',X15) )
      & ! [X18,X19,X20,X21] :
          ( X18 != X21
          | ~ property2(X21,rich,comp_than,X19)
          | ~ predicate2(X20,kill,X18,X19) )
      & ! [X22,X23,X24] :
          ( ? [X25] : predicate2(X25,hate,X22,X23)
          | ~ predicate2(X24,kill,X22,X23) )
      & ! [X26,X27] :
          ( 'Charles' = X26
          | 'Butler' = X26
          | 'AuntAgatha' = X26
          | ~ modifier_pp(X27,in,'DreadburyMansion')
          | ~ predicate1(X27,live,X26) )
      & predicate2(X2,kill,X0,'AuntAgatha')
      & modifier_pp(X1,in,'DreadburyMansion')
      & predicate1(X1,live,X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,plain,
    ? [X0,X1,X2] :
      ( 'AuntAgatha' != 'Butler'
      & ! [X3] :
          ~ ! [X4] :
            ? [X5] : predicate2(X5,hate,X3,X4)
      & ! [X6,X7] :
          ( predicate2(X7,hate,'AuntAgatha',X6)
         => ? [X8] : predicate2(X8,hate,'Butler',X6) )
      & ! [X9] :
          ( ~ ? [X10] :
                ( X9 = X10
                & property2(X10,rich,comp_than,'AuntAgatha') )
         => ? [X11] : predicate2(X11,hate,'Butler',X9) )
      & ! [X12] :
          ( 'Butler' != X12
         => ? [X13] : predicate2(X13,hate,'AuntAgatha',X12) )
      & ~ ? [X14] : predicate2(X14,hate,'AuntAgatha','Butler')
      & ! [X15,X16] :
          ( predicate2(X16,hate,'AuntAgatha',X15)
         => ~ ? [X17] : predicate2(X17,hate,'Charles',X15) )
      & ! [X18] :
          ~ ? [X19,X20,X21] :
              ( X18 = X21
              & property2(X21,rich,comp_than,X19)
              & predicate2(X20,kill,X18,X19) )
      & ! [X22,X23,X24] :
          ( predicate2(X24,kill,X22,X23)
         => ? [X25] : predicate2(X25,hate,X22,X23) )
      & ! [X26,X27] :
          ( ( modifier_pp(X27,in,'DreadburyMansion')
            & predicate1(X27,live,X26) )
         => ( 'Charles' = X26
            | 'Butler' = X26
            | 'AuntAgatha' = X26 ) )
      & predicate2(X2,kill,X0,'AuntAgatha')
      & modifier_pp(X1,in,'DreadburyMansion')
      & predicate1(X1,live,X0) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ? [X0,X1,X2] :
      ( 'AuntAgatha' != 'Butler'
      & ! [X3] :
          ~ ! [X4] :
            ? [X5] : predicate2(X5,hate,X3,X4)
      & ! [X6,X7] :
          ( predicate2(X7,hate,'AuntAgatha',X6)
         => ? [X8] : predicate2(X8,hate,'Butler',X6) )
      & ! [X9] :
          ( ~ ? [X10] :
                ( X9 = X10
                & property2(X10,rich,comp_than,'AuntAgatha') )
         => ? [X11] : predicate2(X11,hate,'Butler',X9) )
      & ! [X12] :
          ( 'Butler' != X12
         => ? [X13] : predicate2(X13,hate,'AuntAgatha',X12) )
      & ~ ? [X14] : predicate2(X14,hate,'AuntAgatha','Butler')
      & ! [X15,X16] :
          ( predicate2(X16,hate,'AuntAgatha',X15)
         => ~ ? [X17] : predicate2(X17,hate,'Charles',X15) )
      & ! [X18] :
          ~ ? [X19,X20,X21] :
              ( X18 = X21
              & property2(X21,rich,comp_than,X19)
              & predicate2(X20,kill,X18,X19) )
      & ! [X22,X23,X24] :
          ( predicate2(X24,kill,X22,X23)
         => ? [X25] : predicate2(X25,hate,X22,X23) )
      & ! [X26,X27] :
          ( ( modifier_pp(X27,in,'DreadburyMansion')
            & predicate1(X27,live,X26) )
         => ( 'Charles' = X26
            | 'Butler' = X26
            | 'AuntAgatha' = X26 ) )
      & predicate2(X2,kill,X0,'AuntAgatha')
      & modifier_pp(X1,in,'DreadburyMansion')
      & predicate1(X1,live,X0) ),
    inference(true_and_false_elimination,[],[f4]) ).

fof(f4,plain,
    ? [X0,X1,X2] :
      ( 'AuntAgatha' != 'Butler'
      & ! [X3] :
          ( $true
         => ~ ! [X4] :
                ( $true
               => ? [X5] : predicate2(X5,hate,X3,X4) ) )
      & ! [X6,X7] :
          ( ( predicate2(X7,hate,'AuntAgatha',X6)
            & $true )
         => ? [X8] : predicate2(X8,hate,'Butler',X6) )
      & ! [X9] :
          ( ( ~ ? [X10] :
                  ( X9 = X10
                  & property2(X10,rich,comp_than,'AuntAgatha') )
            & $true )
         => ? [X11] : predicate2(X11,hate,'Butler',X9) )
      & ! [X12] :
          ( ( 'Butler' != X12
            & $true )
         => ? [X13] : predicate2(X13,hate,'AuntAgatha',X12) )
      & ~ ? [X14] : predicate2(X14,hate,'AuntAgatha','Butler')
      & ! [X15,X16] :
          ( ( predicate2(X16,hate,'AuntAgatha',X15)
            & $true )
         => ~ ? [X17] : predicate2(X17,hate,'Charles',X15) )
      & ! [X18] :
          ( $true
         => ~ ? [X19,X20,X21] :
                ( X18 = X21
                & property2(X21,rich,comp_than,X19)
                & predicate2(X20,kill,X18,X19)
                & $true ) )
      & ! [X22] :
          ( $true
         => ! [X23,X24] :
              ( ( predicate2(X24,kill,X22,X23)
                & $true )
             => ? [X25] : predicate2(X25,hate,X22,X23) ) )
      & ! [X26,X27] :
          ( ( modifier_pp(X27,in,'DreadburyMansion')
            & predicate1(X27,live,X26)
            & $true )
         => ( 'Charles' = X26
            | 'Butler' = X26
            | 'AuntAgatha' = X26 ) )
      & predicate2(X2,kill,X0,'AuntAgatha')
      & modifier_pp(X1,in,'DreadburyMansion')
      & predicate1(X1,live,X0)
      & $true ),
    inference(rectify,[],[f1]) ).

fof(f1,axiom,
    ? [X0,X1,X2] :
      ( 'AuntAgatha' != 'Butler'
      & ! [X25] :
          ( $true
         => ~ ! [X26] :
                ( $true
               => ? [X27] : predicate2(X27,hate,X25,X26) ) )
      & ! [X22,X23] :
          ( ( predicate2(X23,hate,'AuntAgatha',X22)
            & $true )
         => ? [X24] : predicate2(X24,hate,'Butler',X22) )
      & ! [X19] :
          ( ( ~ ? [X20] :
                  ( X19 = X20
                  & property2(X20,rich,comp_than,'AuntAgatha') )
            & $true )
         => ? [X21] : predicate2(X21,hate,'Butler',X19) )
      & ! [X17] :
          ( ( 'Butler' != X17
            & $true )
         => ? [X18] : predicate2(X18,hate,'AuntAgatha',X17) )
      & ~ ? [X16] : predicate2(X16,hate,'AuntAgatha','Butler')
      & ! [X13,X14] :
          ( ( predicate2(X14,hate,'AuntAgatha',X13)
            & $true )
         => ~ ? [X15] : predicate2(X15,hate,'Charles',X13) )
      & ! [X9] :
          ( $true
         => ~ ? [X10,X11,X12] :
                ( X9 = X12
                & property2(X12,rich,comp_than,X10)
                & predicate2(X11,kill,X9,X10)
                & $true ) )
      & ! [X5] :
          ( $true
         => ! [X6,X7] :
              ( ( predicate2(X7,kill,X5,X6)
                & $true )
             => ? [X8] : predicate2(X8,hate,X5,X6) ) )
      & ! [X3,X4] :
          ( ( modifier_pp(X4,in,'DreadburyMansion')
            & predicate1(X4,live,X3)
            & $true )
         => ( 'Charles' = X3
            | 'Butler' = X3
            | 'AuntAgatha' = X3 ) )
      & predicate2(X2,kill,X0,'AuntAgatha')
      & modifier_pp(X1,in,'DreadburyMansion')
      & predicate1(X1,live,X0)
      & $true ),
    file('/export/starexec/sandbox/tmp/tmp.imRg9lX5vf/Vampire---4.8_29836',background) ).

fof(f64,plain,
    ( property2('Butler',rich,comp_than,'AuntAgatha')
    | ~ spl9_1 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f62,plain,
    ( spl9_1
  <=> property2('Butler',rich,comp_than,'AuntAgatha') ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).

fof(f119,plain,
    ( predicate2(sK2,kill,'Butler','AuntAgatha')
    | ~ spl9_3 ),
    inference(superposition,[],[f21,f82]) ).

fof(f82,plain,
    ( 'Butler' = sK0
    | ~ spl9_3 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f80,plain,
    ( spl9_3
  <=> 'Butler' = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).

fof(f21,plain,
    predicate2(sK2,kill,sK0,'AuntAgatha'),
    inference(cnf_transformation,[],[f18]) ).

fof(f118,plain,
    ~ spl9_5,
    inference(avatar_contradiction_clause,[],[f116]) ).

fof(f116,plain,
    ( $false
    | ~ spl9_5 ),
    inference(resolution,[],[f113,f33]) ).

fof(f33,plain,
    ! [X0] : ~ predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ! [X0] : ~ predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,negated_conjecture,
    ~ ? [X0] : predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
    inference(negated_conjecture,[],[f2]) ).

fof(f2,conjecture,
    ? [X0] : predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
    file('/export/starexec/sandbox/tmp/tmp.imRg9lX5vf/Vampire---4.8_29836',prove) ).

fof(f113,plain,
    ( predicate2(sK2,kill,'AuntAgatha','AuntAgatha')
    | ~ spl9_5 ),
    inference(superposition,[],[f21,f90]) ).

fof(f90,plain,
    ( 'AuntAgatha' = sK0
    | ~ spl9_5 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl9_5
  <=> 'AuntAgatha' = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).

fof(f110,plain,
    ~ spl9_4,
    inference(avatar_contradiction_clause,[],[f109]) ).

fof(f109,plain,
    ( $false
    | ~ spl9_4 ),
    inference(trivial_inequality_removal,[],[f99]) ).

fof(f99,plain,
    ( 'AuntAgatha' != 'AuntAgatha'
    | ~ spl9_4 ),
    inference(superposition,[],[f32,f95]) ).

fof(f95,plain,
    ( 'AuntAgatha' = 'Butler'
    | ~ spl9_4 ),
    inference(resolution,[],[f92,f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ~ predicate2(X0,kill,'Charles',X1)
      | 'Butler' = X1 ),
    inference(resolution,[],[f50,f27]) ).

fof(f27,plain,
    ! [X12] :
      ( predicate2(sK7(X12),hate,'AuntAgatha',X12)
      | 'Butler' = X12 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( ~ predicate2(X2,hate,'AuntAgatha',X1)
      | ~ predicate2(X0,kill,'Charles',X1) ),
    inference(resolution,[],[f23,f25]) ).

fof(f25,plain,
    ! [X16,X17,X15] :
      ( ~ predicate2(X17,hate,'Charles',X15)
      | ~ predicate2(X16,hate,'AuntAgatha',X15) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f23,plain,
    ! [X24,X22,X23] :
      ( predicate2(sK8(X22,X23),hate,X22,X23)
      | ~ predicate2(X24,kill,X22,X23) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f92,plain,
    ( predicate2(sK2,kill,'Charles','AuntAgatha')
    | ~ spl9_4 ),
    inference(superposition,[],[f21,f86]) ).

fof(f86,plain,
    ( 'Charles' = sK0
    | ~ spl9_4 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl9_4
  <=> 'Charles' = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).

fof(f32,plain,
    'AuntAgatha' != 'Butler',
    inference(cnf_transformation,[],[f18]) ).

fof(f91,plain,
    ( spl9_3
    | spl9_4
    | spl9_5 ),
    inference(avatar_split_clause,[],[f78,f88,f84,f80]) ).

fof(f78,plain,
    ( 'AuntAgatha' = sK0
    | 'Charles' = sK0
    | 'Butler' = sK0 ),
    inference(resolution,[],[f77,f19]) ).

fof(f19,plain,
    predicate1(sK1,live,sK0),
    inference(cnf_transformation,[],[f18]) ).

fof(f77,plain,
    ! [X0] :
      ( ~ predicate1(sK1,live,X0)
      | 'AuntAgatha' = X0
      | 'Charles' = X0
      | 'Butler' = X0 ),
    inference(resolution,[],[f22,f20]) ).

fof(f20,plain,
    modifier_pp(sK1,in,'DreadburyMansion'),
    inference(cnf_transformation,[],[f18]) ).

fof(f22,plain,
    ! [X26,X27] :
      ( ~ modifier_pp(X27,in,'DreadburyMansion')
      | 'Butler' = X26
      | 'AuntAgatha' = X26
      | 'Charles' = X26
      | ~ predicate1(X27,live,X26) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f72,plain,
    ~ spl9_2,
    inference(avatar_contradiction_clause,[],[f71]) ).

fof(f71,plain,
    ( $false
    | ~ spl9_2 ),
    inference(resolution,[],[f68,f43]) ).

fof(f43,plain,
    ! [X0] : ~ predicate2(X0,hate,'Butler','Butler'),
    inference(superposition,[],[f31,f40]) ).

fof(f40,plain,
    'Butler' = sK3('Butler'),
    inference(resolution,[],[f39,f27]) ).

fof(f39,plain,
    ! [X0] : ~ predicate2(X0,hate,'AuntAgatha',sK3('Butler')),
    inference(resolution,[],[f30,f31]) ).

fof(f30,plain,
    ! [X6,X7] :
      ( predicate2(sK4(X6),hate,'Butler',X6)
      | ~ predicate2(X7,hate,'AuntAgatha',X6) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f31,plain,
    ! [X3,X5] : ~ predicate2(X5,hate,X3,sK3(X3)),
    inference(cnf_transformation,[],[f18]) ).

fof(f68,plain,
    ( predicate2(sK5('Butler'),hate,'Butler','Butler')
    | ~ spl9_2 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f66,plain,
    ( spl9_2
  <=> predicate2(sK5('Butler'),hate,'Butler','Butler') ),
    introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).

fof(f70,plain,
    ( spl9_2
    | spl9_1 ),
    inference(avatar_split_clause,[],[f58,f62,f66]) ).

fof(f58,plain,
    ( property2('Butler',rich,comp_than,'AuntAgatha')
    | predicate2(sK5('Butler'),hate,'Butler','Butler') ),
    inference(superposition,[],[f28,f42]) ).

fof(f42,plain,
    'Butler' = sK6('Butler'),
    inference(superposition,[],[f38,f40]) ).

fof(f38,plain,
    sK3('Butler') = sK6(sK3('Butler')),
    inference(resolution,[],[f29,f31]) ).

fof(f29,plain,
    ! [X9] :
      ( predicate2(sK5(X9),hate,'Butler',X9)
      | sK6(X9) = X9 ),
    inference(cnf_transformation,[],[f18]) ).

fof(f28,plain,
    ! [X9] :
      ( property2(sK6(X9),rich,comp_than,'AuntAgatha')
      | predicate2(sK5(X9),hate,'Butler',X9) ),
    inference(cnf_transformation,[],[f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : PUZ001+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n027.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 17:56:32 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.imRg9lX5vf/Vampire---4.8_29836
% 0.70/0.89  % (30217)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.70/0.89  % (30216)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.70/0.89  % (30218)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2994ds/34Mi)
% 0.70/0.89  % (30214)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2994ds/34Mi)
% 0.70/0.89  % (30215)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2994ds/51Mi)
% 0.70/0.89  % (30219)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.70/0.89  % (30220)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2994ds/83Mi)
% 0.70/0.90  % (30221)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.70/0.90  % (30217)Refutation not found, incomplete strategy% (30217)------------------------------
% 0.70/0.90  % (30217)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.90  % (30217)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.90  
% 0.70/0.90  % (30217)Memory used [KB]: 944
% 0.70/0.90  % (30217)Time elapsed: 0.002 s
% 0.70/0.90  % (30220)Refutation not found, incomplete strategy% (30220)------------------------------
% 0.70/0.90  % (30220)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.90  % (30220)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.90  
% 0.70/0.90  % (30220)Memory used [KB]: 944
% 0.70/0.90  % (30220)Time elapsed: 0.002 s
% 0.70/0.90  % (30220)Instructions burned: 2 (million)
% 0.70/0.90  % (30220)------------------------------
% 0.70/0.90  % (30220)------------------------------
% 0.70/0.90  % (30217)Instructions burned: 2 (million)
% 0.70/0.90  % (30221)Refutation not found, incomplete strategy% (30221)------------------------------
% 0.70/0.90  % (30221)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.90  % (30221)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.90  
% 0.70/0.90  % (30221)Memory used [KB]: 944
% 0.70/0.90  % (30221)Time elapsed: 0.002 s
% 0.70/0.90  % (30221)Instructions burned: 2 (million)
% 0.70/0.90  % (30221)------------------------------
% 0.70/0.90  % (30221)------------------------------
% 0.70/0.90  % (30217)------------------------------
% 0.70/0.90  % (30217)------------------------------
% 0.70/0.90  % (30218)Refutation not found, incomplete strategy% (30218)------------------------------
% 0.70/0.90  % (30218)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.90  % (30218)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.90  
% 0.70/0.90  % (30218)Memory used [KB]: 965
% 0.70/0.90  % (30218)Time elapsed: 0.003 s
% 0.70/0.90  % (30218)Instructions burned: 3 (million)
% 0.70/0.90  % (30218)------------------------------
% 0.70/0.90  % (30218)------------------------------
% 0.70/0.90  % (30219)Refutation not found, incomplete strategy% (30219)------------------------------
% 0.70/0.90  % (30219)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.70/0.90  % (30219)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.90  
% 0.70/0.90  % (30219)Memory used [KB]: 944
% 0.70/0.90  % (30219)Time elapsed: 0.003 s
% 0.70/0.90  % (30219)Instructions burned: 2 (million)
% 0.70/0.90  % (30219)------------------------------
% 0.70/0.90  % (30219)------------------------------
% 0.74/0.90  % (30214)Refutation not found, incomplete strategy% (30214)------------------------------
% 0.74/0.90  % (30214)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.90  % (30214)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.90  
% 0.74/0.90  % (30214)Memory used [KB]: 1046
% 0.74/0.90  % (30214)Time elapsed: 0.003 s
% 0.74/0.90  % (30214)Instructions burned: 4 (million)
% 0.74/0.90  % (30214)------------------------------
% 0.74/0.90  % (30214)------------------------------
% 0.74/0.90  % (30215)First to succeed.
% 0.74/0.90  % (30223)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2994ds/55Mi)
% 0.74/0.90  % (30224)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2994ds/50Mi)
% 0.74/0.90  % (30225)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.74/0.90  % (30227)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2994ds/52Mi)
% 0.74/0.90  % (30228)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2994ds/518Mi)
% 0.74/0.90  % (30216)Also succeeded, but the first one will report.
% 0.74/0.90  % (30224)Refutation not found, incomplete strategy% (30224)------------------------------
% 0.74/0.90  % (30224)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.90  % (30224)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.90  
% 0.74/0.90  % (30224)Memory used [KB]: 964
% 0.74/0.90  % (30224)Time elapsed: 0.003 s
% 0.74/0.90  % (30224)Instructions burned: 3 (million)
% 0.74/0.90  % (30224)------------------------------
% 0.74/0.90  % (30224)------------------------------
% 0.74/0.90  % (30230)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2994ds/42Mi)
% 0.74/0.90  % (30215)Refutation found. Thanks to Tanya!
% 0.74/0.90  % SZS status Theorem for Vampire---4
% 0.74/0.90  % SZS output start Proof for Vampire---4
% See solution above
% 0.74/0.90  % (30215)------------------------------
% 0.74/0.90  % (30215)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.90  % (30215)Termination reason: Refutation
% 0.74/0.90  
% 0.74/0.90  % (30215)Memory used [KB]: 1071
% 0.74/0.90  % (30215)Time elapsed: 0.007 s
% 0.74/0.90  % (30215)Instructions burned: 9 (million)
% 0.74/0.90  % (30215)------------------------------
% 0.74/0.90  % (30215)------------------------------
% 0.74/0.90  % (30092)Success in time 0.531 s
% 0.74/0.90  % Vampire---4.8 exiting
%------------------------------------------------------------------------------