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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : MGT005+2 : TPTP v9.3.1. Bugfixed v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n004.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 12:02:27 PM UTC 2026

% Result   : Theorem 0.09s 0.45s
% Output   : Refutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  126 (  42 unt;  10 def)
%            Number of atoms       :  576 (  31 equ)
%            Maximal formula atoms :   23 (   4 avg)
%            Number of connectives :  750 ( 300   ~; 301   |; 129   &)
%                                         (  10 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   36 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  11 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  13 con; 0-0 aty)
%            Number of variables   :  230 (   0 sgn 204   !;  26   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X0,X1,X2,X3] :
      ( ( organization(X0,X2)
        & organization(X0,X3)
        & greater(X1,X2)
        & greater(X3,X1) )
     => organization(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp13) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( reorganization(X0,X1,X2)
     => greater(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp7) ).

fof(f10,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( organization(X0,X6)
        & organization(X1,X6)
        & organization(X1,X8)
        & class(X0,X3,X6)
        & class(X1,X3,X6)
        & reorganization(X0,X6,X7)
        & reorganization(X1,X6,X8)
        & reorganization_type(X0,X2,X6)
        & reorganization_type(X1,X2,X6)
        & complexity(X0,X4,X6)
        & complexity(X1,X5,X6)
        & greater(X5,X4) )
     => greater(X8,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a10_FOL) ).

fof(f11,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ( organization(X0,X9)
        & organization(X1,X9)
        & organization(X0,X10)
        & organization(X1,X10)
        & class(X0,X3,X9)
        & class(X1,X3,X9)
        & survival_chance(X0,X4,X9)
        & survival_chance(X1,X4,X9)
        & reorganization(X0,X9,X10)
        & reorganization(X1,X9,X11)
        & reorganization_type(X0,X2,X9)
        & reorganization_type(X1,X2,X9)
        & survival_chance(X0,X5,X10)
        & survival_chance(X1,X6,X10)
        & complexity(X0,X7,X9)
        & complexity(X1,X8,X9)
        & greater(X8,X7) )
     => ( greater(X5,X6)
        | X5 = X6 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a11_FOL) ).

fof(f13,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ( organization(X0,X10)
        & organization(X1,X10)
        & organization(X0,X12)
        & organization(X1,X12)
        & class(X0,X3,X10)
        & class(X1,X3,X10)
        & survival_chance(X0,X4,X10)
        & survival_chance(X1,X4,X10)
        & reorganization(X0,X10,X11)
        & reorganization(X1,X10,X12)
        & reorganization_type(X0,X2,X10)
        & reorganization_type(X1,X2,X10)
        & reorganization_free(X0,X11,X12)
        & survival_chance(X0,X5,X9)
        & survival_chance(X1,X6,X9)
        & complexity(X0,X7,X10)
        & complexity(X1,X8,X10)
        & greater(X8,X7)
        & ( X9 = X12
         => greater(X5,X6) ) )
     => ( X9 = X11
       => ( greater(X5,X6)
          | X5 = X6 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_plus_FOL) ).

fof(f14,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
        ( ( organization(X0,X10)
          & organization(X1,X10)
          & organization(X0,X12)
          & organization(X1,X12)
          & class(X0,X3,X10)
          & class(X1,X3,X10)
          & survival_chance(X0,X4,X10)
          & survival_chance(X1,X4,X10)
          & reorganization(X0,X10,X11)
          & reorganization(X1,X10,X12)
          & reorganization_type(X0,X2,X10)
          & reorganization_type(X1,X2,X10)
          & reorganization_free(X0,X11,X12)
          & survival_chance(X0,X5,X9)
          & survival_chance(X1,X6,X9)
          & complexity(X0,X7,X10)
          & complexity(X1,X8,X10)
          & greater(X8,X7)
          & ( X9 = X12
           => greater(X5,X6) ) )
       => ( X9 = X11
         => ( greater(X5,X6)
            | X5 = X6 ) ) ),
    inference(negated_conjecture,[status(cth)],[f13]) ).

fof(f22,plain,
    ! [X0,X1,X2,X3] :
      ( organization(X0,X1)
      | ~ organization(X0,X2)
      | ~ organization(X0,X3)
      | ~ greater(X1,X2)
      | ~ greater(X3,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f23,plain,
    ! [X0,X1,X2,X3] :
      ( organization(X0,X1)
      | ~ organization(X0,X2)
      | ~ organization(X0,X3)
      | ~ greater(X1,X2)
      | ~ greater(X3,X1) ),
    inference(flattening,[],[f22]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( greater(X2,X1)
      | ~ reorganization(X0,X1,X2) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f29,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( greater(X8,X7)
      | ~ organization(X0,X6)
      | ~ organization(X1,X6)
      | ~ organization(X1,X8)
      | ~ class(X0,X3,X6)
      | ~ class(X1,X3,X6)
      | ~ reorganization(X0,X6,X7)
      | ~ reorganization(X1,X6,X8)
      | ~ reorganization_type(X0,X2,X6)
      | ~ reorganization_type(X1,X2,X6)
      | ~ complexity(X0,X4,X6)
      | ~ complexity(X1,X5,X6)
      | ~ greater(X5,X4) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f30,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( greater(X8,X7)
      | ~ organization(X0,X6)
      | ~ organization(X1,X6)
      | ~ organization(X1,X8)
      | ~ class(X0,X3,X6)
      | ~ class(X1,X3,X6)
      | ~ reorganization(X0,X6,X7)
      | ~ reorganization(X1,X6,X8)
      | ~ reorganization_type(X0,X2,X6)
      | ~ reorganization_type(X1,X2,X6)
      | ~ complexity(X0,X4,X6)
      | ~ complexity(X1,X5,X6)
      | ~ greater(X5,X4) ),
    inference(flattening,[],[f29]) ).

fof(f31,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( greater(X5,X6)
      | X5 = X6
      | ~ organization(X0,X9)
      | ~ organization(X1,X9)
      | ~ organization(X0,X10)
      | ~ organization(X1,X10)
      | ~ class(X0,X3,X9)
      | ~ class(X1,X3,X9)
      | ~ survival_chance(X0,X4,X9)
      | ~ survival_chance(X1,X4,X9)
      | ~ reorganization(X0,X9,X10)
      | ~ reorganization(X1,X9,X11)
      | ~ reorganization_type(X0,X2,X9)
      | ~ reorganization_type(X1,X2,X9)
      | ~ survival_chance(X0,X5,X10)
      | ~ survival_chance(X1,X6,X10)
      | ~ complexity(X0,X7,X9)
      | ~ complexity(X1,X8,X9)
      | ~ greater(X8,X7) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f32,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( greater(X5,X6)
      | X5 = X6
      | ~ organization(X0,X9)
      | ~ organization(X1,X9)
      | ~ organization(X0,X10)
      | ~ organization(X1,X10)
      | ~ class(X0,X3,X9)
      | ~ class(X1,X3,X9)
      | ~ survival_chance(X0,X4,X9)
      | ~ survival_chance(X1,X4,X9)
      | ~ reorganization(X0,X9,X10)
      | ~ reorganization(X1,X9,X11)
      | ~ reorganization_type(X0,X2,X9)
      | ~ reorganization_type(X1,X2,X9)
      | ~ survival_chance(X0,X5,X10)
      | ~ survival_chance(X1,X6,X10)
      | ~ complexity(X0,X7,X9)
      | ~ complexity(X1,X8,X9)
      | ~ greater(X8,X7) ),
    inference(flattening,[],[f31]) ).

fof(f35,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ greater(X5,X6)
      & X5 != X6
      & X9 = X11
      & organization(X0,X10)
      & organization(X1,X10)
      & organization(X0,X12)
      & organization(X1,X12)
      & class(X0,X3,X10)
      & class(X1,X3,X10)
      & survival_chance(X0,X4,X10)
      & survival_chance(X1,X4,X10)
      & reorganization(X0,X10,X11)
      & reorganization(X1,X10,X12)
      & reorganization_type(X0,X2,X10)
      & reorganization_type(X1,X2,X10)
      & reorganization_free(X0,X11,X12)
      & survival_chance(X0,X5,X9)
      & survival_chance(X1,X6,X9)
      & complexity(X0,X7,X10)
      & complexity(X1,X8,X10)
      & greater(X8,X7)
      & ( greater(X5,X6)
        | X9 != X12 ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f36,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ~ greater(X5,X6)
      & X5 != X6
      & X9 = X11
      & organization(X0,X10)
      & organization(X1,X10)
      & organization(X0,X12)
      & organization(X1,X12)
      & class(X0,X3,X10)
      & class(X1,X3,X10)
      & survival_chance(X0,X4,X10)
      & survival_chance(X1,X4,X10)
      & reorganization(X0,X10,X11)
      & reorganization(X1,X10,X12)
      & reorganization_type(X0,X2,X10)
      & reorganization_type(X1,X2,X10)
      & reorganization_free(X0,X11,X12)
      & survival_chance(X0,X5,X9)
      & survival_chance(X1,X6,X9)
      & complexity(X0,X7,X10)
      & complexity(X1,X8,X10)
      & greater(X8,X7)
      & ( greater(X5,X6)
        | X9 != X12 ) ),
    inference(flattening,[],[f35]) ).

fof(f39,plain,
    ( ~ greater(sK9,sK10)
    & sK9 != sK10
    & sK13 = sK15
    & organization(sK4,sK14)
    & organization(sK5,sK14)
    & organization(sK4,sK16)
    & organization(sK5,sK16)
    & class(sK4,sK7,sK14)
    & class(sK5,sK7,sK14)
    & survival_chance(sK4,sK8,sK14)
    & survival_chance(sK5,sK8,sK14)
    & reorganization(sK4,sK14,sK15)
    & reorganization(sK5,sK14,sK16)
    & reorganization_type(sK4,sK6,sK14)
    & reorganization_type(sK5,sK6,sK14)
    & reorganization_free(sK4,sK15,sK16)
    & survival_chance(sK4,sK9,sK13)
    & survival_chance(sK5,sK10,sK13)
    & complexity(sK4,sK11,sK14)
    & complexity(sK5,sK12,sK14)
    & greater(sK12,sK11)
    & ( greater(sK9,sK10)
      | sK13 != sK16 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6),skolemize(X3,sK7),skolemize(X4,sK8),skolemize(X5,sK9),skolemize(X6,sK10),skolemize(X7,sK11),skolemize(X8,sK12),skolemize(X9,sK13),skolemize(X10,sK14),skolemize(X11,sK15),skolemize(X12,sK16)],[f36]) ).

fof(f45,plain,
    ! [X2,X3,X0,X1] :
      ( ~ organization(X0,X2)
      | organization(X0,X1)
      | ~ organization(X0,X3)
      | ~ greater(X1,X2)
      | ~ greater(X3,X1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f46,plain,
    ! [X2,X0,X1] :
      ( ~ reorganization(X0,X1,X2)
      | greater(X2,X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f49,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( ~ organization(X0,X6)
      | greater(X8,X7)
      | ~ organization(X1,X6)
      | ~ organization(X1,X8)
      | ~ class(X0,X3,X6)
      | ~ class(X1,X3,X6)
      | ~ reorganization(X0,X6,X7)
      | ~ reorganization(X1,X6,X8)
      | ~ reorganization_type(X0,X2,X6)
      | ~ reorganization_type(X1,X2,X6)
      | ~ complexity(X0,X4,X6)
      | ~ complexity(X1,X5,X6)
      | ~ greater(X5,X4) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f50,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ organization(X0,X9)
      | X5 = X6
      | greater(X5,X6)
      | ~ organization(X1,X9)
      | ~ organization(X0,X10)
      | ~ organization(X1,X10)
      | ~ class(X0,X3,X9)
      | ~ class(X1,X3,X9)
      | ~ survival_chance(X0,X4,X9)
      | ~ survival_chance(X1,X4,X9)
      | ~ reorganization(X0,X9,X10)
      | ~ reorganization(X1,X9,X11)
      | ~ reorganization_type(X0,X2,X9)
      | ~ reorganization_type(X1,X2,X9)
      | ~ survival_chance(X0,X5,X10)
      | ~ survival_chance(X1,X6,X10)
      | ~ complexity(X0,X7,X9)
      | ~ complexity(X1,X8,X9)
      | ~ greater(X8,X7) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f57,plain,
    greater(sK12,sK11),
    inference(cnf_transformation,[],[f39]) ).

fof(f58,plain,
    complexity(sK5,sK12,sK14),
    inference(cnf_transformation,[],[f39]) ).

fof(f59,plain,
    complexity(sK4,sK11,sK14),
    inference(cnf_transformation,[],[f39]) ).

fof(f60,plain,
    survival_chance(sK5,sK10,sK13),
    inference(cnf_transformation,[],[f39]) ).

fof(f61,plain,
    survival_chance(sK4,sK9,sK13),
    inference(cnf_transformation,[],[f39]) ).

fof(f63,plain,
    reorganization_type(sK5,sK6,sK14),
    inference(cnf_transformation,[],[f39]) ).

fof(f64,plain,
    reorganization_type(sK4,sK6,sK14),
    inference(cnf_transformation,[],[f39]) ).

fof(f65,plain,
    reorganization(sK5,sK14,sK16),
    inference(cnf_transformation,[],[f39]) ).

fof(f66,plain,
    reorganization(sK4,sK14,sK15),
    inference(cnf_transformation,[],[f39]) ).

fof(f67,plain,
    survival_chance(sK5,sK8,sK14),
    inference(cnf_transformation,[],[f39]) ).

fof(f68,plain,
    survival_chance(sK4,sK8,sK14),
    inference(cnf_transformation,[],[f39]) ).

fof(f69,plain,
    class(sK5,sK7,sK14),
    inference(cnf_transformation,[],[f39]) ).

fof(f70,plain,
    class(sK4,sK7,sK14),
    inference(cnf_transformation,[],[f39]) ).

fof(f71,plain,
    organization(sK5,sK16),
    inference(cnf_transformation,[],[f39]) ).

fof(f72,plain,
    organization(sK4,sK16),
    inference(cnf_transformation,[],[f39]) ).

fof(f73,plain,
    organization(sK5,sK14),
    inference(cnf_transformation,[],[f39]) ).

fof(f74,plain,
    organization(sK4,sK14),
    inference(cnf_transformation,[],[f39]) ).

fof(f75,plain,
    sK13 = sK15,
    inference(cnf_transformation,[],[f39]) ).

fof(f76,plain,
    sK9 != sK10,
    inference(cnf_transformation,[],[f39]) ).

fof(f77,plain,
    ~ greater(sK9,sK10),
    inference(cnf_transformation,[],[f39]) ).

fof(f78,plain,
    survival_chance(sK4,sK9,sK15),
    inference(definition_unfolding,[],[f61,f75]) ).

fof(f79,plain,
    survival_chance(sK5,sK10,sK15),
    inference(definition_unfolding,[],[f60,f75]) ).

fof(f86,definition,
    ( spl17_2
  <=> greater(sK9,sK10) ),
    introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).

fof(f87,plain,
    ( ~ greater(sK9,sK10)
    | spl17_2 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f90,plain,
    ~ spl17_2,
    inference(avatar_split_clause,[],[f77,f86]) ).

fof(f94,plain,
    greater(sK15,sK14),
    inference(resolution,[],[f46,f66]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ organization(sK5,X1)
      | organization(sK5,X0)
      | ~ greater(X0,sK14)
      | ~ greater(X1,X0) ),
    inference(resolution,[],[f45,f73]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ~ organization(sK4,X1)
      | organization(sK4,X0)
      | ~ greater(X0,sK14)
      | ~ greater(X1,X0) ),
    inference(resolution,[],[f45,f74]) ).

fof(f144,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ organization(X2,sK14)
      | greater(X0,X1)
      | ~ organization(X2,X0)
      | ~ class(sK4,X3,sK14)
      | ~ class(X2,X3,sK14)
      | ~ reorganization(sK4,sK14,X1)
      | ~ reorganization(X2,sK14,X0)
      | ~ reorganization_type(sK4,X4,sK14)
      | ~ reorganization_type(X2,X4,sK14)
      | ~ complexity(sK4,X5,sK14)
      | ~ complexity(X2,X6,sK14)
      | ~ greater(X6,X5) ),
    inference(resolution,[],[f49,f74]) ).

fof(f148,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ organization(X2,sK14)
      | greater(X0,X1)
      | X0 = X1
      | ~ organization(sK4,X3)
      | ~ organization(X2,X3)
      | ~ class(sK4,X4,sK14)
      | ~ class(X2,X4,sK14)
      | ~ survival_chance(sK4,X5,sK14)
      | ~ survival_chance(X2,X5,sK14)
      | ~ reorganization(sK4,sK14,X3)
      | ~ reorganization(X2,sK14,X6)
      | ~ reorganization_type(sK4,X7,sK14)
      | ~ reorganization_type(X2,X7,sK14)
      | ~ survival_chance(sK4,X0,X3)
      | ~ survival_chance(X2,X1,X3)
      | ~ complexity(sK4,X8,sK14)
      | ~ complexity(X2,X9,sK14)
      | ~ greater(X9,X8) ),
    inference(resolution,[],[f50,f74]) ).

fof(f153,plain,
    ! [X0] :
      ( ~ greater(X0,sK14)
      | organization(sK5,X0)
      | ~ greater(sK16,X0) ),
    inference(resolution,[],[f108,f71]) ).

fof(f155,plain,
    ! [X0] :
      ( ~ greater(X0,sK14)
      | organization(sK4,X0)
      | ~ greater(sK16,X0) ),
    inference(resolution,[],[f109,f72]) ).

fof(f158,plain,
    ( organization(sK5,sK15)
    | ~ greater(sK16,sK15) ),
    inference(resolution,[],[f153,f94]) ).

fof(f160,definition,
    ( spl17_3
  <=> greater(sK16,sK15) ),
    introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).

fof(f161,plain,
    ( greater(sK16,sK15)
    | ~ spl17_3 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f162,plain,
    ( ~ greater(sK16,sK15)
    | spl17_3 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f164,definition,
    ( spl17_4
  <=> organization(sK5,sK15) ),
    introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition]) ).

fof(f166,plain,
    ( organization(sK5,sK15)
    | ~ spl17_4 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f167,plain,
    ( ~ spl17_3
    | spl17_4 ),
    inference(avatar_split_clause,[],[f158,f164,f160]) ).

fof(f282,plain,
    ( organization(sK4,sK15)
    | ~ greater(sK16,sK15) ),
    inference(resolution,[],[f155,f94]) ).

fof(f421,definition,
    ( spl17_48
  <=> ! [X3] :
        ( ~ reorganization_type(sK5,X3,sK14)
        | ~ reorganization_type(sK4,X3,sK14) ) ),
    introduced(definition,[new_symbols(definition,[spl17_48])],[avatar_definition]) ).

fof(f422,plain,
    ( ! [X3] :
        ( ~ reorganization_type(sK5,X3,sK14)
        | ~ reorganization_type(sK4,X3,sK14) )
    | ~ spl17_48 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f424,definition,
    ( spl17_49
  <=> ! [X2] :
        ( ~ class(sK5,X2,sK14)
        | ~ class(sK4,X2,sK14) ) ),
    introduced(definition,[new_symbols(definition,[spl17_49])],[avatar_definition]) ).

fof(f425,plain,
    ( ! [X2] :
        ( ~ class(sK5,X2,sK14)
        | ~ class(sK4,X2,sK14) )
    | ~ spl17_49 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f446,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( greater(X0,X1)
      | ~ organization(sK5,X0)
      | ~ class(sK4,X2,sK14)
      | ~ class(sK5,X2,sK14)
      | ~ reorganization(sK4,sK14,X1)
      | ~ reorganization(sK5,sK14,X0)
      | ~ reorganization_type(sK4,X3,sK14)
      | ~ reorganization_type(sK5,X3,sK14)
      | ~ complexity(sK4,X4,sK14)
      | ~ complexity(sK5,X5,sK14)
      | ~ greater(X5,X4) ),
    inference(resolution,[],[f144,f73]) ).

fof(f463,definition,
    ( spl17_59
  <=> ! [X4,X5] :
        ( ~ complexity(sK4,X4,sK14)
        | ~ complexity(sK5,X5,sK14)
        | ~ greater(X5,X4) ) ),
    introduced(definition,[new_symbols(definition,[spl17_59])],[avatar_definition]) ).

fof(f464,plain,
    ( ! [X4,X5] :
        ( ~ greater(X5,X4)
        | ~ complexity(sK5,X5,sK14)
        | ~ complexity(sK4,X4,sK14) )
    | ~ spl17_59 ),
    inference(avatar_component_clause,[],[f463]) ).

fof(f466,definition,
    ( spl17_60
  <=> ! [X0,X1] :
        ( greater(X0,X1)
        | ~ reorganization(sK5,sK14,X0)
        | ~ reorganization(sK4,sK14,X1)
        | ~ organization(sK5,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl17_60])],[avatar_definition]) ).

fof(f467,plain,
    ( ! [X0,X1] :
        ( ~ organization(sK5,X0)
        | ~ reorganization(sK5,sK14,X0)
        | ~ reorganization(sK4,sK14,X1)
        | greater(X0,X1) )
    | ~ spl17_60 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f468,plain,
    ( spl17_59
    | spl17_48
    | spl17_49
    | spl17_60 ),
    inference(avatar_split_clause,[],[f446,f466,f424,f421,f463]) ).

fof(f491,plain,
    ( ~ reorganization_type(sK4,sK6,sK14)
    | ~ spl17_48 ),
    inference(resolution,[],[f422,f63]) ).

fof(f492,plain,
    ( $false
    | ~ spl17_48 ),
    inference(forward_subsumption_resolution,[],[f491,f64]) ).

fof(f493,plain,
    ~ spl17_48,
    inference(avatar_contradiction_clause,[],[f492]) ).

fof(f494,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( greater(X0,X1)
      | X0 = X1
      | ~ organization(sK4,X2)
      | ~ organization(sK5,X2)
      | ~ class(sK4,X3,sK14)
      | ~ class(sK5,X3,sK14)
      | ~ survival_chance(sK4,X4,sK14)
      | ~ survival_chance(sK5,X4,sK14)
      | ~ reorganization(sK4,sK14,X2)
      | ~ reorganization(sK5,sK14,X5)
      | ~ reorganization_type(sK4,X6,sK14)
      | ~ reorganization_type(sK5,X6,sK14)
      | ~ survival_chance(sK4,X0,X2)
      | ~ survival_chance(sK5,X1,X2)
      | ~ complexity(sK4,X7,sK14)
      | ~ complexity(sK5,X8,sK14)
      | ~ greater(X8,X7) ),
    inference(resolution,[],[f148,f73]) ).

fof(f497,plain,
    ( ~ class(sK4,sK7,sK14)
    | ~ spl17_49 ),
    inference(resolution,[],[f425,f69]) ).

fof(f498,plain,
    ( $false
    | ~ spl17_49 ),
    inference(forward_subsumption_resolution,[],[f497,f70]) ).

fof(f499,plain,
    ~ spl17_49,
    inference(avatar_contradiction_clause,[],[f498]) ).

fof(f654,plain,
    ( ~ complexity(sK5,sK12,sK14)
    | ~ complexity(sK4,sK11,sK14)
    | ~ spl17_59 ),
    inference(resolution,[],[f464,f57]) ).

fof(f657,plain,
    ( ~ complexity(sK4,sK11,sK14)
    | ~ spl17_59 ),
    inference(forward_subsumption_resolution,[],[f654,f58]) ).

fof(f663,plain,
    ( $false
    | ~ spl17_59 ),
    inference(forward_subsumption_resolution,[],[f657,f59]) ).

fof(f664,plain,
    ~ spl17_59,
    inference(avatar_contradiction_clause,[],[f663]) ).

fof(f666,definition,
    ( spl17_87
  <=> ! [X5] : ~ reorganization(sK5,sK14,X5) ),
    introduced(definition,[new_symbols(definition,[spl17_87])],[avatar_definition]) ).

fof(f667,plain,
    ( ! [X5] : ~ reorganization(sK5,sK14,X5)
    | ~ spl17_87 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f669,definition,
    ( spl17_88
  <=> ! [X4] :
        ( ~ survival_chance(sK4,X4,sK14)
        | ~ survival_chance(sK5,X4,sK14) ) ),
    introduced(definition,[new_symbols(definition,[spl17_88])],[avatar_definition]) ).

fof(f670,plain,
    ( ! [X4] :
        ( ~ survival_chance(sK5,X4,sK14)
        | ~ survival_chance(sK4,X4,sK14) )
    | ~ spl17_88 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f672,definition,
    ( spl17_89
  <=> ! [X2,X0,X1] :
        ( greater(X0,X1)
        | ~ survival_chance(sK5,X1,X2)
        | ~ survival_chance(sK4,X0,X2)
        | ~ organization(sK4,X2)
        | ~ reorganization(sK4,sK14,X2)
        | ~ organization(sK5,X2)
        | X0 = X1 ) ),
    introduced(definition,[new_symbols(definition,[spl17_89])],[avatar_definition]) ).

fof(f673,plain,
    ( ! [X2,X0,X1] :
        ( ~ organization(sK5,X2)
        | ~ survival_chance(sK5,X1,X2)
        | ~ survival_chance(sK4,X0,X2)
        | ~ organization(sK4,X2)
        | ~ reorganization(sK4,sK14,X2)
        | greater(X0,X1)
        | X0 = X1 )
    | ~ spl17_89 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f674,plain,
    ( spl17_59
    | spl17_48
    | spl17_87
    | spl17_88
    | spl17_49
    | spl17_89 ),
    inference(avatar_split_clause,[],[f494,f672,f424,f669,f666,f421,f463]) ).

fof(f675,plain,
    ( $false
    | ~ spl17_87 ),
    inference(resolution,[],[f667,f65]) ).

fof(f676,plain,
    ~ spl17_87,
    inference(avatar_contradiction_clause,[],[f675]) ).

fof(f678,plain,
    ( ~ survival_chance(sK4,sK8,sK14)
    | ~ spl17_88 ),
    inference(resolution,[],[f670,f67]) ).

fof(f679,plain,
    ( $false
    | ~ spl17_88 ),
    inference(forward_subsumption_resolution,[],[f678,f68]) ).

fof(f680,plain,
    ~ spl17_88,
    inference(avatar_contradiction_clause,[],[f679]) ).

fof(f684,plain,
    ( ! [X0] :
        ( ~ reorganization(sK5,sK14,sK16)
        | ~ reorganization(sK4,sK14,X0)
        | greater(sK16,X0) )
    | ~ spl17_60 ),
    inference(resolution,[],[f467,f71]) ).

fof(f694,plain,
    ( ! [X0] :
        ( ~ reorganization(sK4,sK14,X0)
        | greater(sK16,X0) )
    | ~ spl17_60 ),
    inference(forward_subsumption_resolution,[],[f684,f65]) ).

fof(f762,plain,
    ( greater(sK16,sK15)
    | ~ spl17_60 ),
    inference(resolution,[],[f694,f66]) ).

fof(f763,plain,
    ( $false
    | spl17_3
    | ~ spl17_60 ),
    inference(forward_subsumption_resolution,[],[f762,f162]) ).

fof(f764,plain,
    ( spl17_3
    | ~ spl17_60 ),
    inference(avatar_contradiction_clause,[],[f763]) ).

fof(f765,plain,
    ( organization(sK4,sK15)
    | ~ spl17_3 ),
    inference(forward_subsumption_resolution,[],[f282,f161]) ).

fof(f831,plain,
    ( ! [X0,X1] :
        ( ~ survival_chance(sK5,X0,sK15)
        | ~ survival_chance(sK4,X1,sK15)
        | ~ organization(sK4,sK15)
        | ~ reorganization(sK4,sK14,sK15)
        | greater(X1,X0)
        | X0 = X1 )
    | ~ spl17_4
    | ~ spl17_89 ),
    inference(resolution,[],[f166,f673]) ).

fof(f838,plain,
    ( ! [X0,X1] :
        ( ~ survival_chance(sK5,X0,sK15)
        | ~ survival_chance(sK4,X1,sK15)
        | ~ reorganization(sK4,sK14,sK15)
        | greater(X1,X0)
        | X0 = X1 )
    | ~ spl17_3
    | ~ spl17_4
    | ~ spl17_89 ),
    inference(forward_subsumption_resolution,[],[f831,f765]) ).

fof(f849,plain,
    ( ! [X0,X1] :
        ( ~ survival_chance(sK5,X0,sK15)
        | ~ survival_chance(sK4,X1,sK15)
        | greater(X1,X0)
        | X0 = X1 )
    | ~ spl17_3
    | ~ spl17_4
    | ~ spl17_89 ),
    inference(forward_subsumption_resolution,[],[f838,f66]) ).

fof(f1481,plain,
    ( ! [X0] :
        ( ~ survival_chance(sK4,X0,sK15)
        | greater(X0,sK10)
        | sK10 = X0 )
    | ~ spl17_3
    | ~ spl17_4
    | ~ spl17_89 ),
    inference(resolution,[],[f849,f79]) ).

fof(f1485,plain,
    ( greater(sK9,sK10)
    | sK9 = sK10
    | ~ spl17_3
    | ~ spl17_4
    | ~ spl17_89 ),
    inference(resolution,[],[f1481,f78]) ).

fof(f1487,plain,
    ( sK9 = sK10
    | spl17_2
    | ~ spl17_3
    | ~ spl17_4
    | ~ spl17_89 ),
    inference(forward_subsumption_resolution,[],[f1485,f87]) ).

fof(f1488,plain,
    ( $false
    | spl17_2
    | ~ spl17_3
    | ~ spl17_4
    | ~ spl17_89 ),
    inference(forward_subsumption_resolution,[],[f1487,f76]) ).

fof(f1489,plain,
    ( spl17_2
    | ~ spl17_3
    | ~ spl17_4
    | ~ spl17_89 ),
    inference(avatar_contradiction_clause,[],[f1488]) ).

cnf(s2,plain,
    ~ spl17_2,
    inference(sat_conversion,[],[f90]) ).

cnf(s3,plain,
    ( ~ spl17_3
    | spl17_4 ),
    inference(sat_conversion,[],[f167]) ).

cnf(s28,plain,
    ( spl17_48
    | spl17_49
    | spl17_59
    | spl17_60 ),
    inference(sat_conversion,[],[f468]) ).

cnf(s29,plain,
    ~ spl17_48,
    inference(sat_conversion,[],[f493]) ).

cnf(s30,plain,
    ~ spl17_49,
    inference(sat_conversion,[],[f499]) ).

cnf(s52,plain,
    ~ spl17_59,
    inference(sat_conversion,[],[f664]) ).

cnf(s53,plain,
    ( spl17_48
    | spl17_49
    | spl17_59
    | spl17_87
    | spl17_88
    | spl17_89 ),
    inference(sat_conversion,[],[f674]) ).

cnf(s54,plain,
    ~ spl17_87,
    inference(sat_conversion,[],[f676]) ).

cnf(s55,plain,
    ~ spl17_88,
    inference(sat_conversion,[],[f680]) ).

cnf(s61,plain,
    ( spl17_3
    | ~ spl17_60 ),
    inference(sat_conversion,[],[f764]) ).

cnf(s97,plain,
    ( spl17_2
    | ~ spl17_3
    | ~ spl17_4
    | ~ spl17_89 ),
    inference(sat_conversion,[],[f1489]) ).

cnf(s102,plain,
    ( spl17_48
    | spl17_49
    | spl17_59
    | spl17_89 ),
    inference(rat,[],[s53,s55,s54]) ).

cnf(s103,plain,
    spl17_89,
    inference(rat,[],[s102,s30,s52,s29]) ).

cnf(s104,plain,
    spl17_60,
    inference(rat,[],[s28,s52,s30,s29]) ).

cnf(s105,plain,
    spl17_3,
    inference(rat,[],[s61,s104]) ).

cnf(s111,plain,
    spl17_4,
    inference(rat,[],[s3,s105]) ).

cnf(s113,plain,
    spl17_2,
    inference(rat,[],[s97,s103,s105,s111]) ).

cnf(s114,plain,
    $false,
    inference(rat,[],[s2,s113]) ).

fof(f1490,plain,
    $false,
    inference(avatar_sat_refutation,[],[s114]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT005+2 : TPTP v9.3.1. Bugfixed v3.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37  % Computer : n004.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 17:15:37 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39  Running first-order model finding
% 0.09/0.39  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.45  % (3766384)Will run a generic schedule for satisfiability detection.
% 0.09/0.45  % (3766394)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=168727139:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.45  % (3766390)% WARNING: option uhcvi not known.
% 0.09/0.45  % (3766389)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3494576397_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.45  % (3766391)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2253363994:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.45  % (3766392)dis+10_1_sil=32000:sp=arity:random_seed=2106507010:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.45  % (3766393)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1270530618:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.45  % (3766390)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3703603972:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.45  % (3766395)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2051210105:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.45  % TRYING [1]
% 0.09/0.45  % TRYING [2]
% 0.09/0.45  % TRYING [3]
% 0.09/0.45  % (3766394) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3766384-3766394"...
% 0.09/0.45  % (3766394)...printing done.
% 0.09/0.45  % (3766394)Refutation found. Thanks to Tanya!
% 0.09/0.45  % SZS status Theorem for theBenchmark
% 0.09/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.45  % (3766394)------------------------------
% 0.09/0.45  % (3766394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.45  % (3766394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.45  % (3766394)CaDiCaL version: 2.1.3
% 0.09/0.45  % (3766394)Termination reason: Refutation
% 0.09/0.45  % (3766394)Time elapsed: 0.024 s
% 0.09/0.45  % (3766394)Peak memory usage: 13 MB
% 0.09/0.45  % (3766394)Instructions burned: 75 (million)
% 0.09/0.45  % (3766384)Success in time 0.05 s
% 0.09/0.45  % Vampire exiting
%------------------------------------------------------------------------------