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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : MGT015+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 12:02:00 PM UTC 2026

% Result   : Theorem 2.41s 1.15s
% Output   : Refutation 2.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  116 (  36 unt;  14 def)
%            Number of atoms       :  435 (   0 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  562 ( 243   ~; 223   |;  77   &)
%                                         (  14 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   22 (  21 usr;  15 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :  169 (   0 sgn 149   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( organization(X0,X1)
     => ? [X2] : inertia(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp5) ).

fof(f2,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ( organization(X0,X7)
        & organization(X1,X8)
        & class(X0,X2,X7)
        & class(X1,X2,X8)
        & complexity(X0,X3,X7)
        & complexity(X1,X4,X8)
        & inertia(X0,X5,X7)
        & inertia(X1,X6,X8)
        & greater(X4,X3) )
     => greater(X6,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12_FOL) ).

fof(f3,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)
        & inertia(X0,X4,X6)
        & inertia(X1,X5,X6)
        & greater(X5,X4) )
     => greater(X8,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_FOL) ).

fof(f4,conjecture,
    ! [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',t15_FOL) ).

fof(f5,negated_conjecture,
    ~ ! [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) ),
    inference(negated_conjecture,[status(cth)],[f4]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ? [X2] : inertia(X0,X2,X1)
      | ~ organization(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f7,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( greater(X6,X5)
      | ~ organization(X0,X7)
      | ~ organization(X1,X8)
      | ~ class(X0,X2,X7)
      | ~ class(X1,X2,X8)
      | ~ complexity(X0,X3,X7)
      | ~ complexity(X1,X4,X8)
      | ~ inertia(X0,X5,X7)
      | ~ inertia(X1,X6,X8)
      | ~ greater(X4,X3) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f8,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( greater(X6,X5)
      | ~ organization(X0,X7)
      | ~ organization(X1,X8)
      | ~ class(X0,X2,X7)
      | ~ class(X1,X2,X8)
      | ~ complexity(X0,X3,X7)
      | ~ complexity(X1,X4,X8)
      | ~ inertia(X0,X5,X7)
      | ~ inertia(X1,X6,X8)
      | ~ greater(X4,X3) ),
    inference(flattening,[],[f7]) ).

fof(f9,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)
      | ~ inertia(X0,X4,X6)
      | ~ inertia(X1,X5,X6)
      | ~ greater(X5,X4) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f10,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)
      | ~ inertia(X0,X4,X6)
      | ~ inertia(X1,X5,X6)
      | ~ greater(X5,X4) ),
    inference(flattening,[],[f9]) ).

fof(f11,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,[],[f5]) ).

fof(f12,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,[],[f11]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( inertia(X0,sK0(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f6]) ).

fof(f14,plain,
    ( ~ greater(sK9,sK8)
    & organization(sK1,sK7)
    & organization(sK2,sK7)
    & organization(sK2,sK9)
    & class(sK1,sK4,sK7)
    & class(sK2,sK4,sK7)
    & reorganization(sK1,sK7,sK8)
    & reorganization(sK2,sK7,sK9)
    & reorganization_type(sK1,sK3,sK7)
    & reorganization_type(sK2,sK3,sK7)
    & complexity(sK1,sK5,sK7)
    & complexity(sK2,sK6,sK7)
    & greater(sK6,sK5) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5),skolemize(X5,sK6),skolemize(X6,sK7),skolemize(X7,sK8),skolemize(X8,sK9)],[f12]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( inertia(X0,sK0(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f16,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( greater(X6,X5)
      | ~ organization(X0,X7)
      | ~ organization(X1,X8)
      | ~ class(X0,X2,X7)
      | ~ class(X1,X2,X8)
      | ~ complexity(X0,X3,X7)
      | ~ complexity(X1,X4,X8)
      | ~ inertia(X0,X5,X7)
      | ~ inertia(X1,X6,X8)
      | ~ greater(X4,X3) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f17,plain,
    ! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
      ( 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)
      | ~ inertia(X0,X4,X6)
      | ~ inertia(X1,X5,X6)
      | ~ greater(X5,X4) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f18,plain,
    greater(sK6,sK5),
    inference(cnf_transformation,[],[f14]) ).

fof(f19,plain,
    complexity(sK2,sK6,sK7),
    inference(cnf_transformation,[],[f14]) ).

fof(f20,plain,
    complexity(sK1,sK5,sK7),
    inference(cnf_transformation,[],[f14]) ).

fof(f21,plain,
    reorganization_type(sK2,sK3,sK7),
    inference(cnf_transformation,[],[f14]) ).

fof(f22,plain,
    reorganization_type(sK1,sK3,sK7),
    inference(cnf_transformation,[],[f14]) ).

fof(f23,plain,
    reorganization(sK2,sK7,sK9),
    inference(cnf_transformation,[],[f14]) ).

fof(f24,plain,
    reorganization(sK1,sK7,sK8),
    inference(cnf_transformation,[],[f14]) ).

fof(f25,plain,
    class(sK2,sK4,sK7),
    inference(cnf_transformation,[],[f14]) ).

fof(f26,plain,
    class(sK1,sK4,sK7),
    inference(cnf_transformation,[],[f14]) ).

fof(f27,plain,
    organization(sK2,sK9),
    inference(cnf_transformation,[],[f14]) ).

fof(f28,plain,
    organization(sK2,sK7),
    inference(cnf_transformation,[],[f14]) ).

fof(f29,plain,
    organization(sK1,sK7),
    inference(cnf_transformation,[],[f14]) ).

fof(f30,plain,
    ~ greater(sK9,sK8),
    inference(cnf_transformation,[],[f14]) ).

fof(f32,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ reorganization_type(X0,X4,X1)
      | ~ reorganization_type(X2,X4,X1)
      | ~ organization(X2,sK9)
      | ~ class(X0,X3,X1)
      | ~ class(X2,X3,X1)
      | ~ reorganization(X0,X1,sK8)
      | ~ reorganization(X2,X1,sK9)
      | ~ organization(X0,X1)
      | ~ organization(X2,X1)
      | ~ inertia(X0,X5,X1)
      | ~ inertia(X2,X6,X1)
      | ~ greater(X6,X5) ),
    inference(resolution,[],[f17,f30]) ).

fof(f43,definition,
    ( spl10_2
  <=> organization(sK1,sK7) ),
    introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).

fof(f44,plain,
    ( ~ organization(sK1,sK7)
    | spl10_2 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f53,definition,
    ( spl10_5
  <=> organization(sK2,sK7) ),
    introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).

fof(f54,plain,
    ( ~ organization(sK2,sK7)
    | spl10_5 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f74,plain,
    ! [X2,X3,X0,X1] :
      ( ~ reorganization_type(X0,sK3,sK7)
      | ~ organization(X0,sK9)
      | ~ class(sK1,X1,sK7)
      | ~ class(X0,X1,sK7)
      | ~ reorganization(sK1,sK7,sK8)
      | ~ reorganization(X0,sK7,sK9)
      | ~ organization(sK1,sK7)
      | ~ organization(X0,sK7)
      | ~ inertia(sK1,X2,sK7)
      | ~ inertia(X0,X3,sK7)
      | ~ greater(X3,X2) ),
    inference(resolution,[],[f32,f22]) ).

fof(f90,definition,
    ( spl10_14
  <=> reorganization(sK2,sK7,sK9) ),
    introduced(definition,[new_symbols(definition,[spl10_14])],[avatar_definition]) ).

fof(f91,plain,
    ( ~ reorganization(sK2,sK7,sK9)
    | spl10_14 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f93,definition,
    ( spl10_15
  <=> organization(sK2,sK9) ),
    introduced(definition,[new_symbols(definition,[spl10_15])],[avatar_definition]) ).

fof(f94,plain,
    ( ~ organization(sK2,sK9)
    | spl10_15 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f100,definition,
    ( spl10_17
  <=> reorganization(sK1,sK7,sK8) ),
    introduced(definition,[new_symbols(definition,[spl10_17])],[avatar_definition]) ).

fof(f101,plain,
    ( ~ reorganization(sK1,sK7,sK8)
    | spl10_17 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f103,definition,
    ( spl10_18
  <=> ! [X0,X3,X2,X1] :
        ( ~ reorganization_type(X0,sK3,sK7)
        | ~ greater(X3,X2)
        | ~ inertia(X0,X3,sK7)
        | ~ inertia(sK1,X2,sK7)
        | ~ organization(X0,sK7)
        | ~ reorganization(X0,sK7,sK9)
        | ~ class(X0,X1,sK7)
        | ~ class(sK1,X1,sK7)
        | ~ organization(X0,sK9) ) ),
    introduced(definition,[new_symbols(definition,[spl10_18])],[avatar_definition]) ).

fof(f104,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ reorganization_type(X0,sK3,sK7)
        | ~ greater(X3,X2)
        | ~ inertia(X0,X3,sK7)
        | ~ inertia(sK1,X2,sK7)
        | ~ organization(X0,sK7)
        | ~ reorganization(X0,sK7,sK9)
        | ~ class(X0,X1,sK7)
        | ~ class(sK1,X1,sK7)
        | ~ organization(X0,sK9) )
    | ~ spl10_18 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f105,plain,
    ( ~ spl10_2
    | ~ spl10_17
    | spl10_18 ),
    inference(avatar_split_clause,[],[f74,f103,f100,f43]) ).

fof(f113,plain,
    ( $false
    | spl10_2 ),
    inference(resolution,[],[f44,f29]) ).

fof(f114,plain,
    spl10_2,
    inference(avatar_contradiction_clause,[],[f113]) ).

fof(f115,plain,
    ( $false
    | spl10_5 ),
    inference(resolution,[],[f54,f28]) ).

fof(f116,plain,
    spl10_5,
    inference(avatar_contradiction_clause,[],[f115]) ).

fof(f117,plain,
    ( $false
    | spl10_15 ),
    inference(resolution,[],[f94,f27]) ).

fof(f118,plain,
    spl10_15,
    inference(avatar_contradiction_clause,[],[f117]) ).

fof(f119,plain,
    ( $false
    | spl10_14 ),
    inference(resolution,[],[f91,f23]) ).

fof(f120,plain,
    spl10_14,
    inference(avatar_contradiction_clause,[],[f119]) ).

fof(f121,plain,
    ( $false
    | spl10_17 ),
    inference(resolution,[],[f101,f24]) ).

fof(f122,plain,
    spl10_17,
    inference(avatar_contradiction_clause,[],[f121]) ).

fof(f127,definition,
    ( spl10_21
  <=> ! [X2] :
        ( ~ class(sK2,X2,sK7)
        | ~ class(sK1,X2,sK7) ) ),
    introduced(definition,[new_symbols(definition,[spl10_21])],[avatar_definition]) ).

fof(f128,plain,
    ( ! [X2] :
        ( ~ class(sK1,X2,sK7)
        | ~ class(sK2,X2,sK7) )
    | ~ spl10_21 ),
    inference(avatar_component_clause,[],[f127]) ).

fof(f130,definition,
    ( spl10_22
  <=> ! [X0,X1] :
        ( ~ inertia(sK2,X0,sK7)
        | ~ inertia(sK1,X1,sK7)
        | ~ greater(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[spl10_22])],[avatar_definition]) ).

fof(f131,plain,
    ( ! [X0,X1] :
        ( ~ inertia(sK2,X0,sK7)
        | ~ inertia(sK1,X1,sK7)
        | ~ greater(X0,X1) )
    | ~ spl10_22 ),
    inference(avatar_component_clause,[],[f130]) ).

fof(f133,plain,
    ( ~ class(sK2,sK4,sK7)
    | ~ spl10_21 ),
    inference(resolution,[],[f128,f26]) ).

fof(f134,plain,
    ( ! [X2,X0,X1] :
        ( ~ greater(X0,X1)
        | ~ inertia(sK2,X0,sK7)
        | ~ inertia(sK1,X1,sK7)
        | ~ organization(sK2,sK7)
        | ~ reorganization(sK2,sK7,sK9)
        | ~ class(sK2,X2,sK7)
        | ~ class(sK1,X2,sK7)
        | ~ organization(sK2,sK9) )
    | ~ spl10_18 ),
    inference(resolution,[],[f104,f21]) ).

fof(f137,plain,
    ( $false
    | ~ spl10_21 ),
    inference(resolution,[],[f133,f25]) ).

fof(f138,plain,
    ~ spl10_21,
    inference(avatar_contradiction_clause,[],[f137]) ).

fof(f139,plain,
    ( ~ spl10_15
    | spl10_21
    | ~ spl10_14
    | ~ spl10_5
    | spl10_22
    | ~ spl10_18 ),
    inference(avatar_split_clause,[],[f134,f103,f130,f53,f90,f127,f93]) ).

fof(f141,plain,
    ( ! [X0] :
        ( ~ inertia(sK2,X0,sK7)
        | ~ greater(X0,sK0(sK1,sK7))
        | ~ organization(sK1,sK7) )
    | ~ spl10_22 ),
    inference(resolution,[],[f131,f15]) ).

fof(f143,definition,
    ( spl10_23
  <=> ! [X0] :
        ( ~ inertia(sK2,X0,sK7)
        | ~ greater(X0,sK0(sK1,sK7)) ) ),
    introduced(definition,[new_symbols(definition,[spl10_23])],[avatar_definition]) ).

fof(f144,plain,
    ( ! [X0] :
        ( ~ inertia(sK2,X0,sK7)
        | ~ greater(X0,sK0(sK1,sK7)) )
    | ~ spl10_23 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f145,plain,
    ( ~ spl10_2
    | spl10_23
    | ~ spl10_22 ),
    inference(avatar_split_clause,[],[f141,f130,f143,f43]) ).

fof(f152,plain,
    ( ~ greater(sK0(sK2,sK7),sK0(sK1,sK7))
    | ~ organization(sK2,sK7)
    | ~ spl10_23 ),
    inference(resolution,[],[f144,f15]) ).

fof(f154,definition,
    ( spl10_25
  <=> greater(sK0(sK2,sK7),sK0(sK1,sK7)) ),
    introduced(definition,[new_symbols(definition,[spl10_25])],[avatar_definition]) ).

fof(f155,plain,
    ( ~ greater(sK0(sK2,sK7),sK0(sK1,sK7))
    | spl10_25 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f156,plain,
    ( ~ spl10_5
    | ~ spl10_25
    | ~ spl10_23 ),
    inference(avatar_split_clause,[],[f152,f143,f154,f53]) ).

fof(f160,plain,
    ( ! [X2,X3,X0,X1,X6,X4,X5] :
        ( ~ complexity(X0,X5,X1)
        | ~ complexity(X2,X6,X3)
        | ~ class(X0,X4,X1)
        | ~ class(X2,X4,X3)
        | ~ organization(X0,X1)
        | ~ organization(X2,X3)
        | ~ inertia(X0,sK0(sK1,sK7),X1)
        | ~ inertia(X2,sK0(sK2,sK7),X3)
        | ~ greater(X6,X5) )
    | spl10_25 ),
    inference(resolution,[],[f155,f16]) ).

fof(f163,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ complexity(X0,X1,X2)
        | ~ class(X0,X3,X2)
        | ~ class(sK2,X3,sK7)
        | ~ organization(X0,X2)
        | ~ organization(sK2,sK7)
        | ~ inertia(X0,sK0(sK1,sK7),X2)
        | ~ inertia(sK2,sK0(sK2,sK7),sK7)
        | ~ greater(sK6,X1) )
    | spl10_25 ),
    inference(resolution,[],[f160,f19]) ).

fof(f175,definition,
    ( spl10_28
  <=> inertia(sK2,sK0(sK2,sK7),sK7) ),
    introduced(definition,[new_symbols(definition,[spl10_28])],[avatar_definition]) ).

fof(f176,plain,
    ( ~ inertia(sK2,sK0(sK2,sK7),sK7)
    | spl10_28 ),
    inference(avatar_component_clause,[],[f175]) ).

fof(f178,definition,
    ( spl10_29
  <=> ! [X0,X3,X2,X1] :
        ( ~ complexity(X0,X1,X2)
        | ~ greater(sK6,X1)
        | ~ inertia(X0,sK0(sK1,sK7),X2)
        | ~ organization(X0,X2)
        | ~ class(sK2,X3,sK7)
        | ~ class(X0,X3,X2) ) ),
    introduced(definition,[new_symbols(definition,[spl10_29])],[avatar_definition]) ).

fof(f179,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ complexity(X0,X1,X2)
        | ~ greater(sK6,X1)
        | ~ inertia(X0,sK0(sK1,sK7),X2)
        | ~ organization(X0,X2)
        | ~ class(sK2,X3,sK7)
        | ~ class(X0,X3,X2) )
    | ~ spl10_29 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f180,plain,
    ( ~ spl10_28
    | ~ spl10_5
    | spl10_29
    | spl10_25 ),
    inference(avatar_split_clause,[],[f163,f154,f178,f53,f175]) ).

fof(f182,definition,
    ( spl10_30
  <=> inertia(sK1,sK0(sK1,sK7),sK7) ),
    introduced(definition,[new_symbols(definition,[spl10_30])],[avatar_definition]) ).

fof(f183,plain,
    ( ~ inertia(sK1,sK0(sK1,sK7),sK7)
    | spl10_30 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f235,plain,
    ( ~ organization(sK2,sK7)
    | spl10_28 ),
    inference(resolution,[],[f176,f15]) ).

fof(f236,plain,
    ( ~ spl10_5
    | spl10_28 ),
    inference(avatar_split_clause,[],[f235,f175,f53]) ).

fof(f237,plain,
    ( ~ organization(sK1,sK7)
    | spl10_30 ),
    inference(resolution,[],[f183,f15]) ).

fof(f238,plain,
    ( ~ spl10_2
    | spl10_30 ),
    inference(avatar_split_clause,[],[f237,f182,f43]) ).

fof(f240,plain,
    ( ! [X0] :
        ( ~ greater(sK6,sK5)
        | ~ inertia(sK1,sK0(sK1,sK7),sK7)
        | ~ organization(sK1,sK7)
        | ~ class(sK2,X0,sK7)
        | ~ class(sK1,X0,sK7) )
    | ~ spl10_29 ),
    inference(resolution,[],[f179,f20]) ).

fof(f243,definition,
    ( spl10_44
  <=> greater(sK6,sK5) ),
    introduced(definition,[new_symbols(definition,[spl10_44])],[avatar_definition]) ).

fof(f244,plain,
    ( ~ greater(sK6,sK5)
    | spl10_44 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f245,plain,
    ( spl10_21
    | ~ spl10_2
    | ~ spl10_30
    | ~ spl10_44
    | ~ spl10_29 ),
    inference(avatar_split_clause,[],[f240,f178,f243,f182,f43,f127]) ).

fof(f246,plain,
    ( $false
    | spl10_44 ),
    inference(resolution,[],[f244,f18]) ).

fof(f249,plain,
    spl10_44,
    inference(avatar_contradiction_clause,[],[f246]) ).

cnf(s7,plain,
    ( ~ spl10_2
    | ~ spl10_17
    | spl10_18 ),
    inference(sat_conversion,[],[f105]) ).

cnf(s9,plain,
    spl10_2,
    inference(sat_conversion,[],[f114]) ).

cnf(s10,plain,
    spl10_5,
    inference(sat_conversion,[],[f116]) ).

cnf(s11,plain,
    spl10_15,
    inference(sat_conversion,[],[f118]) ).

cnf(s12,plain,
    spl10_14,
    inference(sat_conversion,[],[f120]) ).

cnf(s13,plain,
    spl10_17,
    inference(sat_conversion,[],[f122]) ).

cnf(s15,plain,
    ~ spl10_21,
    inference(sat_conversion,[],[f138]) ).

cnf(s16,plain,
    ( ~ spl10_5
    | ~ spl10_14
    | ~ spl10_15
    | ~ spl10_18
    | spl10_21
    | spl10_22 ),
    inference(sat_conversion,[],[f139]) ).

cnf(s17,plain,
    ( ~ spl10_2
    | ~ spl10_22
    | spl10_23 ),
    inference(sat_conversion,[],[f145]) ).

cnf(s19,plain,
    ( ~ spl10_5
    | ~ spl10_23
    | ~ spl10_25 ),
    inference(sat_conversion,[],[f156]) ).

cnf(s22,plain,
    ( ~ spl10_5
    | spl10_25
    | ~ spl10_28
    | spl10_29 ),
    inference(sat_conversion,[],[f180]) ).

cnf(s29,plain,
    ( ~ spl10_5
    | spl10_28 ),
    inference(sat_conversion,[],[f236]) ).

cnf(s30,plain,
    ( ~ spl10_2
    | spl10_30 ),
    inference(sat_conversion,[],[f238]) ).

cnf(s31,plain,
    ( ~ spl10_2
    | spl10_21
    | ~ spl10_29
    | ~ spl10_30
    | ~ spl10_44 ),
    inference(sat_conversion,[],[f245]) ).

cnf(s32,plain,
    spl10_44,
    inference(sat_conversion,[],[f249]) ).

cnf(s33,plain,
    ( ~ spl10_2
    | spl10_21
    | ~ spl10_29
    | ~ spl10_30 ),
    inference(rat,[],[s31,s32]) ).

cnf(s35,plain,
    spl10_28,
    inference(rat,[],[s29,s10]) ).

cnf(s36,plain,
    spl10_30,
    inference(rat,[],[s30,s9]) ).

cnf(s37,plain,
    ~ spl10_29,
    inference(rat,[],[s33,s9,s15,s36]) ).

cnf(s38,plain,
    spl10_25,
    inference(rat,[],[s22,s10,s35,s37]) ).

cnf(s39,plain,
    ~ spl10_23,
    inference(rat,[],[s19,s10,s38]) ).

cnf(s41,plain,
    ~ spl10_22,
    inference(rat,[],[s17,s9,s39]) ).

cnf(s42,plain,
    ~ spl10_18,
    inference(rat,[],[s16,s10,s15,s11,s12,s41]) ).

cnf(s45,plain,
    $false,
    inference(rat,[],[s7,s42,s13,s9]) ).

fof(f250,plain,
    $false,
    inference(avatar_sat_refutation,[],[s45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT015+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n015.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 17:19:46 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.41/1.15  % (1876489)Detected formulas, will run a generic FOF schedule.
% 2.41/1.15  % (1876579)dis-21_1_sil=8000:lcm=predicate:random_seed=2483429651:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.41/1.15  % (1876579)First to succeed.
% 2.41/1.15  % (1876579)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1876489"
% 2.41/1.15  % (1876572)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=712419660:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.41/1.15  % (1876570)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=948730484:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.41/1.15  % (1876573)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=135840237:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.41/1.15  % (1876574)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3979023167:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.41/1.15  % (1876577)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4007213835:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.41/1.15  % (1876576)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3497039059:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.41/1.15  % (1876574)Also succeeded, but the first one will report.
% 2.41/1.15  % (1876576)Also succeeded, but the first one will report.
% 2.41/1.15  % (1876577)Also succeeded, but the first one will report.
% 2.41/1.15  % (1876579)Refutation found. Thanks to Tanya!
% 2.41/1.15  % SZS status Theorem for theBenchmark
% 2.41/1.15  % SZS output start Proof for theBenchmark
% See solution above
% 2.77/1.36  % (1876579)------------------------------
% 2.77/1.36  % (1876579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.36  % (1876579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.36  % (1876579)CaDiCaL version: 2.1.3
% 2.77/1.36  % (1876579)Termination reason: Refutation
% 2.77/1.36  % (1876579)Time elapsed: 0.004 s
% 2.77/1.36  % (1876579)Peak memory usage: 89 MB
% 2.77/1.36  % (1876579)Instructions burned: 7 (million)
% 2.77/1.36  % (1876579)------------------------------
% 2.77/1.36  % (1876579)------------------------------
% 2.77/1.36  % (1876489)Success in time 0.302 s
% 2.77/1.36  % Vampire exiting
%------------------------------------------------------------------------------