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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : PUZ001+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n008.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 : Tue Sep 29 12:31:47 PM UTC 2026

% Result   : Theorem 0.09s 0.44s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   64 (  22 unt;   3 def)
%            Number of atoms       :  294 (  84 equ)
%            Maximal formula atoms :   37 (   4 avg)
%            Number of connectives :  342 ( 112   ~;  97   |; 108   &)
%                                         (   3 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   7 usr;   5 prp; 0-4 aty)
%            Number of functors    :   19 (  19 usr;  13 con; 0-2 aty)
%            Number of variables   :  224 (   0 sgn 153   !;  71   ?)

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

fof(f2,conjecture,
    ? [X0] : predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).

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

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

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

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

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

fof(f8,plain,
    ! [X0] : ~ predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
    inference(ennf_transformation,[],[f3]) ).

fof(f9,plain,
    ? [X0,X1,X2] :
      ( predicate1(X1,live,X0)
      & modifier_pp(X1,in,'DreadburyMansion')
      & predicate2(X2,kill,X0,'AuntAgatha')
      & ! [X3,X4] :
          ( X3 = 'AuntAgatha'
          | X3 = 'Butler'
          | X3 = 'Charles'
          | ~ predicate1(X4,live,X3)
          | ~ modifier_pp(X4,in,'DreadburyMansion') )
      & ! [X5,X6,X7] :
          ( ? [X8] : predicate2(X8,hate,X5,X6)
          | ~ predicate2(X7,kill,X5,X6) )
      & ! [X9,X10,X11,X12] :
          ( ~ predicate2(X11,kill,X9,X10)
          | ~ property2(X12,rich,comp_than,X10)
          | X9 != X12 )
      & ! [X13,X14] :
          ( ! [X15] : ~ predicate2(X15,hate,'Charles',X13)
          | ~ predicate2(X14,hate,'AuntAgatha',X13) )
      & ! [X16] : ~ predicate2(X16,hate,'AuntAgatha','Butler')
      & ! [X17] :
          ( ? [X18] : predicate2(X18,hate,'AuntAgatha',X17)
          | 'Butler' = X17 )
      & ! [X19] :
          ( ? [X20] : predicate2(X20,hate,'Butler',X19)
          | ? [X21] :
              ( property2(X21,rich,comp_than,'AuntAgatha')
              & X19 = X21 ) )
      & ! [X22,X23] :
          ( ? [X24] : predicate2(X24,hate,'Butler',X22)
          | ~ predicate2(X23,hate,'AuntAgatha',X22) )
      & ! [X25] :
        ? [X26] :
        ! [X27] : ~ predicate2(X27,hate,X25,X26)
      & 'AuntAgatha' != 'Butler' ),
    inference(rectify,[],[f7]) ).

fof(f10,plain,
    ( predicate1(sK1,live,sK0)
    & modifier_pp(sK1,in,'DreadburyMansion')
    & predicate2(sK2,kill,sK0,'AuntAgatha')
    & ! [X3,X4] :
        ( X3 = 'AuntAgatha'
        | X3 = 'Butler'
        | X3 = 'Charles'
        | ~ predicate1(X4,live,X3)
        | ~ modifier_pp(X4,in,'DreadburyMansion') )
    & ! [X5,X6,X7] :
        ( predicate2(sK3(X5,X6),hate,X5,X6)
        | ~ predicate2(X7,kill,X5,X6) )
    & ! [X9,X10,X11,X12] :
        ( ~ predicate2(X11,kill,X9,X10)
        | ~ property2(X12,rich,comp_than,X10)
        | X9 != X12 )
    & ! [X13,X14] :
        ( ! [X15] : ~ predicate2(X15,hate,'Charles',X13)
        | ~ predicate2(X14,hate,'AuntAgatha',X13) )
    & ! [X16] : ~ predicate2(X16,hate,'AuntAgatha','Butler')
    & ! [X17] :
        ( predicate2(sK4(X17),hate,'AuntAgatha',X17)
        | 'Butler' = X17 )
    & ! [X19] :
        ( predicate2(sK5(X19),hate,'Butler',X19)
        | ( property2(sK6(X19),rich,comp_than,'AuntAgatha')
          & sK6(X19) = X19 ) )
    & ! [X22,X23] :
        ( predicate2(sK7(X22),hate,'Butler',X22)
        | ~ predicate2(X23,hate,'AuntAgatha',X22) )
    & ! [X25,X27] : ~ predicate2(X27,hate,X25,sK8(X25))
    & 'AuntAgatha' != 'Butler' ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X8,sK3(X5,X6)),skolemize(X18,sK4(X17)),skolemize(X20,sK5(X19)),skolemize(X21,sK6(X19)),skolemize(X24,sK7(X22)),skolemize(X26,sK8(X25))],[f9]) ).

fof(f11,plain,
    'AuntAgatha' != 'Butler',
    inference(cnf_transformation,[],[f10]) ).

fof(f12,plain,
    ! [X27,X25] : ~ predicate2(X27,hate,X25,sK8(X25)),
    inference(cnf_transformation,[],[f10]) ).

fof(f13,plain,
    ! [X22,X23] :
      ( ~ predicate2(X23,hate,'AuntAgatha',X22)
      | predicate2(sK7(X22),hate,'Butler',X22) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f14,plain,
    ! [X19] :
      ( predicate2(sK5(X19),hate,'Butler',X19)
      | sK6(X19) = X19 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f15,plain,
    ! [X19] :
      ( property2(sK6(X19),rich,comp_than,'AuntAgatha')
      | predicate2(sK5(X19),hate,'Butler',X19) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f16,plain,
    ! [X17] :
      ( predicate2(sK4(X17),hate,'AuntAgatha',X17)
      | 'Butler' = X17 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f18,plain,
    ! [X14,X15,X13] :
      ( ~ predicate2(X15,hate,'Charles',X13)
      | ~ predicate2(X14,hate,'AuntAgatha',X13) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f19,plain,
    ! [X10,X11,X9,X12] :
      ( ~ property2(X12,rich,comp_than,X10)
      | ~ predicate2(X11,kill,X9,X10)
      | X9 != X12 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f20,plain,
    ! [X6,X7,X5] :
      ( ~ predicate2(X7,kill,X5,X6)
      | predicate2(sK3(X5,X6),hate,X5,X6) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f21,plain,
    ! [X3,X4] :
      ( ~ modifier_pp(X4,in,'DreadburyMansion')
      | 'Butler' = X3
      | 'Charles' = X3
      | ~ predicate1(X4,live,X3)
      | 'AuntAgatha' = X3 ),
    inference(cnf_transformation,[],[f10]) ).

fof(f22,plain,
    predicate2(sK2,kill,sK0,'AuntAgatha'),
    inference(cnf_transformation,[],[f10]) ).

fof(f23,plain,
    modifier_pp(sK1,in,'DreadburyMansion'),
    inference(cnf_transformation,[],[f10]) ).

fof(f24,plain,
    predicate1(sK1,live,sK0),
    inference(cnf_transformation,[],[f10]) ).

fof(f25,plain,
    ! [X0] : ~ predicate2(X0,kill,'AuntAgatha','AuntAgatha'),
    inference(cnf_transformation,[],[f8]) ).

fof(f27,plain,
    'Butler' = sK8('AuntAgatha'),
    inference(resolution,[],[f16,f12]) ).

fof(f30,plain,
    sK8('Butler') = sK6(sK8('Butler')),
    inference(resolution,[],[f14,f12]) ).

fof(f32,plain,
    sK8(sK8('AuntAgatha')) = sK6(sK8(sK8('AuntAgatha'))),
    inference(forward_demodulation,[],[f30,f27]) ).

fof(f33,plain,
    ! [X0] :
      ( predicate2(sK7(X0),hate,'Butler',X0)
      | 'Butler' = X0 ),
    inference(resolution,[],[f13,f16]) ).

fof(f34,plain,
    ! [X0] :
      ( predicate2(sK7(X0),hate,sK8('AuntAgatha'),X0)
      | 'Butler' = X0 ),
    inference(forward_demodulation,[],[f33,f27]) ).

fof(f35,plain,
    ! [X0] :
      ( predicate2(sK7(X0),hate,sK8('AuntAgatha'),X0)
      | sK8('AuntAgatha') = X0 ),
    inference(forward_demodulation,[],[f34,f27]) ).

fof(f36,plain,
    sK8('AuntAgatha') = sK8(sK8('AuntAgatha')),
    inference(resolution,[],[f35,f12]) ).

fof(f52,plain,
    predicate2(sK3(sK0,'AuntAgatha'),hate,sK0,'AuntAgatha'),
    inference(resolution,[],[f20,f22]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( ~ predicate2(X0,kill,X1,'AuntAgatha')
      | sK6(X2) != X1
      | predicate2(sK5(X2),hate,'Butler',X2) ),
    inference(resolution,[],[f19,f15]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( ~ predicate2(X0,kill,X1,'AuntAgatha')
      | predicate2(sK5(X2),hate,sK8('AuntAgatha'),X2)
      | sK6(X2) != X1 ),
    inference(forward_demodulation,[],[f55,f27]) ).

fof(f57,plain,
    ! [X0] :
      ( 'Butler' = X0
      | 'Charles' = X0
      | ~ predicate1(sK1,live,X0)
      | 'AuntAgatha' = X0 ),
    inference(resolution,[],[f21,f23]) ).

fof(f58,plain,
    ! [X0] :
      ( ~ predicate1(sK1,live,X0)
      | 'Charles' = X0
      | sK8('AuntAgatha') = X0
      | 'AuntAgatha' = X0 ),
    inference(forward_demodulation,[],[f57,f27]) ).

fof(f60,plain,
    ( 'Charles' = sK0
    | sK0 = sK8('AuntAgatha')
    | 'AuntAgatha' = sK0 ),
    inference(resolution,[],[f58,f24]) ).

fof(f62,definition,
    ( spl9_3
  <=> 'AuntAgatha' = sK0 ),
    introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition]) ).

fof(f64,plain,
    ( 'AuntAgatha' = sK0
    | ~ spl9_3 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f66,definition,
    ( spl9_4
  <=> sK0 = sK8('AuntAgatha') ),
    introduced(definition,[new_symbols(definition,[spl9_4])],[avatar_definition]) ).

fof(f68,plain,
    ( sK0 = sK8('AuntAgatha')
    | ~ spl9_4 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f70,definition,
    ( spl9_5
  <=> 'Charles' = sK0 ),
    introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).

fof(f72,plain,
    ( 'Charles' = sK0
    | ~ spl9_5 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f73,plain,
    ( spl9_3
    | spl9_4
    | spl9_5 ),
    inference(avatar_split_clause,[],[f60,f70,f66,f62]) ).

fof(f75,plain,
    ( predicate2(sK2,kill,'AuntAgatha','AuntAgatha')
    | ~ spl9_3 ),
    inference(superposition,[],[f22,f64]) ).

fof(f77,plain,
    ( $false
    | ~ spl9_3 ),
    inference(forward_subsumption_resolution,[],[f75,f25]) ).

fof(f78,plain,
    ~ spl9_3,
    inference(avatar_contradiction_clause,[],[f77]) ).

fof(f79,plain,
    ! [X0] :
      ( predicate2(sK5(X0),hate,sK8('AuntAgatha'),X0)
      | sK0 != sK6(X0) ),
    inference(resolution,[],[f56,f22]) ).

fof(f80,plain,
    ( ! [X0] :
        ( sK8('AuntAgatha') != sK6(X0)
        | predicate2(sK5(X0),hate,sK8('AuntAgatha'),X0) )
    | ~ spl9_4 ),
    inference(forward_demodulation,[],[f79,f68]) ).

fof(f93,plain,
    ( sK8('AuntAgatha') != sK8(sK8('AuntAgatha'))
    | predicate2(sK5(sK8(sK8('AuntAgatha'))),hate,sK8('AuntAgatha'),sK8(sK8('AuntAgatha')))
    | ~ spl9_4 ),
    inference(superposition,[],[f80,f32]) ).

fof(f98,plain,
    ( predicate2(sK5(sK8(sK8('AuntAgatha'))),hate,sK8('AuntAgatha'),sK8(sK8('AuntAgatha')))
    | ~ spl9_4 ),
    inference(forward_subsumption_resolution,[],[f93,f36]) ).

fof(f99,plain,
    ( $false
    | ~ spl9_4 ),
    inference(forward_subsumption_resolution,[],[f98,f12]) ).

fof(f100,plain,
    ~ spl9_4,
    inference(avatar_contradiction_clause,[],[f99]) ).

fof(f103,plain,
    ( predicate2(sK3('Charles','AuntAgatha'),hate,'Charles','AuntAgatha')
    | ~ spl9_5 ),
    inference(superposition,[],[f52,f72]) ).

fof(f110,plain,
    ( ! [X0] : ~ predicate2(X0,hate,'AuntAgatha','AuntAgatha')
    | ~ spl9_5 ),
    inference(resolution,[],[f103,f18]) ).

fof(f111,plain,
    ( 'AuntAgatha' = 'Butler'
    | ~ spl9_5 ),
    inference(resolution,[],[f110,f16]) ).

fof(f112,plain,
    ( $false
    | ~ spl9_5 ),
    inference(forward_subsumption_resolution,[],[f111,f11]) ).

fof(f113,plain,
    ~ spl9_5,
    inference(avatar_contradiction_clause,[],[f112]) ).

cnf(s2,plain,
    ( spl9_3
    | spl9_4
    | spl9_5 ),
    inference(sat_conversion,[],[f73]) ).

cnf(s3,plain,
    ~ spl9_3,
    inference(sat_conversion,[],[f78]) ).

cnf(s6,plain,
    ~ spl9_4,
    inference(sat_conversion,[],[f100]) ).

cnf(s7,plain,
    ~ spl9_5,
    inference(sat_conversion,[],[f113]) ).

cnf(s8,plain,
    $false,
    inference(rat,[],[s2,s7,s6,s3]) ).

fof(f114,plain,
    $false,
    inference(avatar_sat_refutation,[],[s8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : PUZ001+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37  % Computer : n008.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Sun Sep 27 22:29:31 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40  Running first-order model finding
% 0.09/0.40  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.44  % (1662677)Will run a generic schedule for satisfiability detection.
% 0.09/0.44  % (1662687)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1060429268:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.44  % (1662687) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1662677-1662687"...
% 0.09/0.44  % (1662687)...printing done.
% 0.09/0.44  % (1662687)Refutation found. Thanks to Tanya!
% 0.09/0.44  % SZS status Theorem for theBenchmark
% 0.09/0.44  % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.44  % (1662687)------------------------------
% 0.09/0.44  % (1662687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.44  % (1662687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.44  % (1662687)CaDiCaL version: 2.1.3
% 0.09/0.44  % (1662687)Termination reason: Refutation
% 0.09/0.44  % (1662687)Time elapsed: 0.003 s
% 0.09/0.44  % (1662687)Peak memory usage: 12 MB
% 0.09/0.44  % (1662687)Instructions burned: 6 (million)
% 0.09/0.44  % (1662677)Success in time 0.028 s
% 0.09/0.44  % Vampire exiting
%------------------------------------------------------------------------------