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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : MGT018+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n010.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 12:02:30 PM UTC 2026

% Result   : Theorem 0.13s 0.45s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   81 (  25 unt;   6 def)
%            Number of atoms       :  354 (   0 equ)
%            Maximal formula atoms :   13 (   4 avg)
%            Number of connectives :  474 ( 201   ~; 185   |;  77   &)
%                                         (   6 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   7 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :  183 (   0 sgn 163   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( organization(X0,X1)
     => ? [X2] : inertia(X0,X2,X1) ),
    file('/export/starexec/sandbox/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)
        & size(X0,X3,X7)
        & size(X1,X4,X8)
        & inertia(X0,X5,X7)
        & inertia(X1,X6,X8)
        & greater(X4,X3) )
     => greater(X6,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5_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(X7,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a14_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)
        & size(X0,X4,X6)
        & size(X1,X5,X6)
        & greater(X5,X4) )
     => greater(X7,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_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)
          & size(X0,X4,X6)
          & size(X1,X5,X6)
          & greater(X5,X4) )
       => greater(X7,X8) ),
    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)
      | ~ size(X0,X3,X7)
      | ~ size(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)
      | ~ size(X0,X3,X7)
      | ~ size(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(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) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f10,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( greater(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) ),
    inference(flattening,[],[f9]) ).

fof(f11,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ greater(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)
      & size(X0,X4,X6)
      & size(X1,X5,X6)
      & greater(X5,X4) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f12,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ greater(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)
      & size(X0,X4,X6)
      & size(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(sK8,sK9)
    & 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)
    & size(sK1,sK5,sK7)
    & size(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] :
      ( ~ size(X1,X4,X8)
      | ~ organization(X0,X7)
      | ~ organization(X1,X8)
      | ~ class(X0,X2,X7)
      | ~ class(X1,X2,X8)
      | ~ size(X0,X3,X7)
      | greater(X6,X5)
      | ~ 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] :
      ( ~ reorganization_type(X1,X2,X6)
      | ~ 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)
      | greater(X7,X8)
      | ~ 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,
    size(sK2,sK6,sK7),
    inference(cnf_transformation,[],[f14]) ).

fof(f20,plain,
    size(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(sK8,sK9),
    inference(cnf_transformation,[],[f14]) ).

fof(f31,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ organization(X0,X1)
      | ~ organization(sK2,sK7)
      | ~ class(X0,X2,X1)
      | ~ class(sK2,X2,sK7)
      | ~ size(X0,X3,X1)
      | greater(X4,X5)
      | ~ inertia(X0,X5,X1)
      | ~ inertia(sK2,X4,sK7)
      | ~ greater(sK6,X3) ),
    inference(resolution,[],[f16,f19]) ).

fof(f34,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ size(X0,X3,X1)
      | ~ class(X0,X2,X1)
      | ~ class(sK2,X2,sK7)
      | ~ organization(X0,X1)
      | greater(X4,X5)
      | ~ inertia(X0,X5,X1)
      | ~ inertia(sK2,X4,sK7)
      | ~ greater(sK6,X3) ),
    inference(forward_subsumption_resolution,[],[f31,f28]) ).

fof(f35,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ organization(X0,sK7)
      | ~ organization(sK2,sK7)
      | organization(sK2,X1)
      | ~ class(X0,X2,sK7)
      | ~ class(sK2,X2,sK7)
      | ~ reorganization(X0,sK7,X3)
      | ~ reorganization(sK2,sK7,X1)
      | ~ reorganization_type(X0,sK3,sK7)
      | greater(X3,X1)
      | ~ inertia(X0,X4,sK7)
      | ~ inertia(sK2,X5,sK7)
      | ~ greater(X5,X4) ),
    inference(resolution,[],[f17,f21]) ).

fof(f38,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ reorganization_type(X0,sK3,sK7)
      | organization(sK2,X1)
      | ~ class(X0,X2,sK7)
      | ~ class(sK2,X2,sK7)
      | ~ reorganization(X0,sK7,X3)
      | ~ reorganization(sK2,sK7,X1)
      | ~ organization(X0,sK7)
      | greater(X3,X1)
      | ~ inertia(X0,X4,sK7)
      | ~ inertia(sK2,X5,sK7)
      | ~ greater(X5,X4) ),
    inference(forward_subsumption_resolution,[],[f35,f28]) ).

fof(f63,definition,
    ( spl10_6
  <=> ! [X0] :
        ( ~ class(sK2,X0,sK7)
        | ~ class(sK1,X0,sK7) ) ),
    introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).

fof(f64,plain,
    ( ! [X0] :
        ( ~ class(sK2,X0,sK7)
        | ~ class(sK1,X0,sK7) )
    | ~ spl10_6 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f67,plain,
    ! [X2,X0,X1] :
      ( ~ class(sK1,X0,sK7)
      | ~ class(sK2,X0,sK7)
      | ~ organization(sK1,sK7)
      | greater(X1,X2)
      | ~ inertia(sK1,X2,sK7)
      | ~ inertia(sK2,X1,sK7)
      | ~ greater(sK6,sK5) ),
    inference(resolution,[],[f34,f20]) ).

fof(f69,plain,
    ! [X2,X0,X1] :
      ( ~ class(sK1,X0,sK7)
      | ~ class(sK2,X0,sK7)
      | greater(X1,X2)
      | ~ inertia(sK1,X2,sK7)
      | ~ inertia(sK2,X1,sK7)
      | ~ greater(sK6,sK5) ),
    inference(forward_subsumption_resolution,[],[f67,f29]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( ~ class(sK1,X0,sK7)
      | ~ class(sK2,X0,sK7)
      | greater(X1,X2)
      | ~ inertia(sK1,X2,sK7)
      | ~ inertia(sK2,X1,sK7) ),
    inference(forward_subsumption_resolution,[],[f69,f18]) ).

fof(f84,definition,
    ( spl10_10
  <=> ! [X2,X1] :
        ( greater(X1,X2)
        | ~ inertia(sK2,X1,sK7)
        | ~ inertia(sK1,X2,sK7) ) ),
    introduced(definition,[new_symbols(definition,[spl10_10])],[avatar_definition]) ).

fof(f85,plain,
    ( ! [X2,X1] :
        ( ~ inertia(sK2,X1,sK7)
        | greater(X1,X2)
        | ~ inertia(sK1,X2,sK7) )
    | ~ spl10_10 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f86,plain,
    ( spl10_10
    | spl10_6 ),
    inference(avatar_split_clause,[],[f71,f63,f84]) ).

fof(f107,plain,
    ! [X2,X3,X0,X1,X4] :
      ( organization(sK2,X0)
      | ~ class(sK1,X1,sK7)
      | ~ class(sK2,X1,sK7)
      | ~ reorganization(sK1,sK7,X2)
      | ~ reorganization(sK2,sK7,X0)
      | ~ organization(sK1,sK7)
      | greater(X2,X0)
      | ~ inertia(sK1,X3,sK7)
      | ~ inertia(sK2,X4,sK7)
      | ~ greater(X4,X3) ),
    inference(resolution,[],[f38,f22]) ).

fof(f109,plain,
    ! [X2,X3,X0,X1,X4] :
      ( organization(sK2,X0)
      | ~ class(sK1,X1,sK7)
      | ~ class(sK2,X1,sK7)
      | ~ reorganization(sK1,sK7,X2)
      | ~ reorganization(sK2,sK7,X0)
      | greater(X2,X0)
      | ~ inertia(sK1,X3,sK7)
      | ~ inertia(sK2,X4,sK7)
      | ~ greater(X4,X3) ),
    inference(forward_subsumption_resolution,[],[f107,f29]) ).

fof(f112,definition,
    ( spl10_15
  <=> ! [X4,X3] :
        ( ~ inertia(sK1,X3,sK7)
        | ~ inertia(sK2,X4,sK7)
        | ~ greater(X4,X3) ) ),
    introduced(definition,[new_symbols(definition,[spl10_15])],[avatar_definition]) ).

fof(f113,plain,
    ( ! [X3,X4] :
        ( ~ inertia(sK1,X3,sK7)
        | ~ inertia(sK2,X4,sK7)
        | ~ greater(X4,X3) )
    | ~ spl10_15 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f115,definition,
    ( spl10_16
  <=> ! [X2,X0] :
        ( organization(sK2,X0)
        | ~ reorganization(sK2,sK7,X0)
        | ~ reorganization(sK1,sK7,X2)
        | greater(X2,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl10_16])],[avatar_definition]) ).

fof(f116,plain,
    ( ! [X2,X0] :
        ( ~ reorganization(sK2,sK7,X0)
        | organization(sK2,X0)
        | ~ reorganization(sK1,sK7,X2)
        | greater(X2,X0) )
    | ~ spl10_16 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f117,plain,
    ( spl10_15
    | spl10_6
    | spl10_16 ),
    inference(avatar_split_clause,[],[f109,f115,f63,f112]) ).

fof(f127,plain,
    ( ~ class(sK1,sK4,sK7)
    | ~ spl10_6 ),
    inference(resolution,[],[f64,f25]) ).

fof(f128,plain,
    ( $false
    | ~ spl10_6 ),
    inference(forward_subsumption_resolution,[],[f127,f26]) ).

fof(f129,plain,
    ~ spl10_6,
    inference(avatar_contradiction_clause,[],[f128]) ).

fof(f140,definition,
    ( spl10_19
  <=> ! [X4] : ~ inertia(sK2,X4,sK7) ),
    introduced(definition,[new_symbols(definition,[spl10_19])],[avatar_definition]) ).

fof(f141,plain,
    ( ! [X4] : ~ inertia(sK2,X4,sK7)
    | ~ spl10_19 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f143,definition,
    ( spl10_20
  <=> ! [X3] : ~ inertia(sK1,X3,sK7) ),
    introduced(definition,[new_symbols(definition,[spl10_20])],[avatar_definition]) ).

fof(f144,plain,
    ( ! [X3] : ~ inertia(sK1,X3,sK7)
    | ~ spl10_20 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f149,plain,
    ( ! [X0] :
        ( organization(sK2,sK9)
        | ~ reorganization(sK1,sK7,X0)
        | greater(X0,sK9) )
    | ~ spl10_16 ),
    inference(resolution,[],[f116,f23]) ).

fof(f150,plain,
    ( ! [X0] :
        ( ~ reorganization(sK1,sK7,X0)
        | greater(X0,sK9) )
    | ~ spl10_16 ),
    inference(forward_subsumption_resolution,[],[f149,f27]) ).

fof(f151,plain,
    ( greater(sK8,sK9)
    | ~ spl10_16 ),
    inference(resolution,[],[f150,f24]) ).

fof(f152,plain,
    ( $false
    | ~ spl10_16 ),
    inference(forward_subsumption_resolution,[],[f151,f30]) ).

fof(f153,plain,
    ~ spl10_16,
    inference(avatar_contradiction_clause,[],[f152]) ).

fof(f154,plain,
    ( ! [X3,X4] :
        ( ~ inertia(sK1,X3,sK7)
        | ~ inertia(sK2,X4,sK7) )
    | ~ spl10_10
    | ~ spl10_15 ),
    inference(forward_subsumption_resolution,[],[f113,f85]) ).

fof(f156,plain,
    ( spl10_19
    | spl10_20
    | ~ spl10_10
    | ~ spl10_15 ),
    inference(avatar_split_clause,[],[f154,f112,f84,f143,f140]) ).

fof(f157,plain,
    ( ~ organization(sK2,sK7)
    | ~ spl10_19 ),
    inference(resolution,[],[f141,f15]) ).

fof(f158,plain,
    ( $false
    | ~ spl10_19 ),
    inference(forward_subsumption_resolution,[],[f157,f28]) ).

fof(f159,plain,
    ~ spl10_19,
    inference(avatar_contradiction_clause,[],[f158]) ).

fof(f160,plain,
    ( ~ organization(sK1,sK7)
    | ~ spl10_20 ),
    inference(resolution,[],[f144,f15]) ).

fof(f161,plain,
    ( $false
    | ~ spl10_20 ),
    inference(forward_subsumption_resolution,[],[f160,f29]) ).

fof(f162,plain,
    ~ spl10_20,
    inference(avatar_contradiction_clause,[],[f161]) ).

cnf(s4,plain,
    ( spl10_6
    | spl10_10 ),
    inference(sat_conversion,[],[f86]) ).

cnf(s7,plain,
    ( spl10_6
    | spl10_15
    | spl10_16 ),
    inference(sat_conversion,[],[f117]) ).

cnf(s10,plain,
    ~ spl10_6,
    inference(sat_conversion,[],[f129]) ).

cnf(s12,plain,
    ~ spl10_16,
    inference(sat_conversion,[],[f153]) ).

cnf(s14,plain,
    ( ~ spl10_10
    | ~ spl10_15
    | spl10_19
    | spl10_20 ),
    inference(sat_conversion,[],[f156]) ).

cnf(s15,plain,
    ~ spl10_19,
    inference(sat_conversion,[],[f159]) ).

cnf(s16,plain,
    ~ spl10_20,
    inference(sat_conversion,[],[f162]) ).

cnf(s17,plain,
    ( ~ spl10_10
    | ~ spl10_15 ),
    inference(rat,[],[s14,s16,s15]) ).

cnf(s21,plain,
    spl10_15,
    inference(rat,[],[s7,s12,s10]) ).

cnf(s22,plain,
    ~ spl10_10,
    inference(rat,[],[s17,s21]) ).

cnf(s24,plain,
    $false,
    inference(rat,[],[s4,s22,s10]) ).

fof(f163,plain,
    $false,
    inference(avatar_sat_refutation,[],[s24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT018+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.37  % Computer : n010.cluster.edu
% 0.08/0.37  % Model    : x86_64 x86_64
% 0.08/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37  % Memory   : 8046.5625MB
% 0.08/0.37  % OS       : Linux 6.8.0-71-generic
% 0.08/0.37  % CPULimit : 300
% 0.08/0.37  % WCLimit  : 300
% 0.08/0.37  % DateTime : Sun Sep 27 17:17:17 UTC 2026
% 0.08/0.37  % CPUTime  : 
% 0.08/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40  Running first-order model finding
% 0.13/0.40  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
% 0.13/0.45  % (1183327)Will run a generic schedule for satisfiability detection.
% 0.13/0.45  % (1183332)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3496206507_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.45  % TRYING [1]
% 0.13/0.45  % TRYING [2]
% 0.13/0.45  % TRYING [3]
% 0.13/0.45  % TRYING [4]
% 0.13/0.45  % (1183338)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4109559315:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.45  % (1183334)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=829161240:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.45  % (1183335)dis+10_1_sil=32000:sp=arity:random_seed=3567528486:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.45  % (1183336)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1671243315:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.45  % (1183337)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1334539862:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.45  % TRYING [5]
% 0.13/0.45  % (1183335) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1183327-1183335"...
% 0.13/0.45  % (1183337) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1183327-1183337"...
% 0.13/0.45  % (1183338) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1183327-1183338"...
% 0.13/0.45  % (1183333)% WARNING: option uhcvi not known.
% 0.13/0.45  % (1183334) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1183327-1183334"...
% 0.13/0.45  % (1183336) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1183327-1183336"...
% 0.13/0.45  % (1183335)...printing done.
% 0.13/0.45  % (1183337)...printing done.
% 0.13/0.45  % (1183338)...printing done.
% 0.13/0.45  % TRYING [6]
% 0.13/0.45  % (1183335)Refutation found. Thanks to Tanya!
% 0.13/0.45  % SZS status Theorem for theBenchmark
% 0.13/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.46  % (1183335)------------------------------
% 0.13/0.46  % (1183335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.46  % (1183335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.46  % (1183335)CaDiCaL version: 2.1.3
% 0.13/0.46  % (1183335)Termination reason: Refutation
% 0.13/0.46  % (1183335)Time elapsed: 0.005 s
% 0.13/0.46  % (1183335)Peak memory usage: 12 MB
% 0.13/0.46  % (1183335)Instructions burned: 5 (million)
% 0.13/0.46  % (1183327)Success in time 0.044 s
% 0.13/0.46  % Vampire exiting
%------------------------------------------------------------------------------