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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : MGT017+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n026.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 : Thu Sep 24 01:25:16 PM UTC 2026

% Result   : Theorem 0.09s 0.38s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   91 (  24 unt;  13 def)
%            Number of atoms       :  389 (   0 equ)
%            Maximal formula atoms :   13 (   4 avg)
%            Number of connectives :  518 ( 220   ~; 203   |;  77   &)
%                                         (  13 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   21 (  20 usr;  14 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :  189 ( 169   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,T] :
      ( organization(X,T)
     => ? [I] : inertia(X,I,T) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,hypothesis,
    ! [X,Y,C,S1,S2,I1,I2,T1,T2] :
      ( ( greater(S2,S1)
        & inertia(Y,I2,T2)
        & inertia(X,I1,T1)
        & size(Y,S2,T2)
        & size(X,S1,T1)
        & class(Y,C,T2)
        & class(X,C,T1)
        & organization(Y,T2)
        & organization(X,T1) )
     => greater(I2,I1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,hypothesis,
    ! [X,Y,Rt,C,I1,I2,Ta,Tb,Tc] :
      ( ( greater(I2,I1)
        & inertia(Y,I2,Ta)
        & inertia(X,I1,Ta)
        & reorganization_type(Y,Rt,Ta)
        & reorganization_type(X,Rt,Ta)
        & reorganization(Y,Ta,Tc)
        & reorganization(X,Ta,Tb)
        & class(Y,C,Ta)
        & class(X,C,Ta)
        & organization(Y,Tc)
        & organization(Y,Ta)
        & organization(X,Ta) )
     => greater(Tc,Tb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,conjecture,
    ! [X,Y,Rt,C,S1,S2,Ta,Tb,Tc] :
      ( ( greater(S2,S1)
        & size(Y,S2,Ta)
        & size(X,S1,Ta)
        & reorganization_type(Y,Rt,Ta)
        & reorganization_type(X,Rt,Ta)
        & reorganization(Y,Ta,Tc)
        & reorganization(X,Ta,Tb)
        & class(Y,C,Ta)
        & class(X,C,Ta)
        & organization(Y,Tc)
        & organization(Y,Ta)
        & organization(X,Ta) )
     => greater(Tc,Tb) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ~ ! [X,Y,Rt,C,S1,S2,Ta,Tb,Tc] :
        ( ( greater(S2,S1)
          & size(Y,S2,Ta)
          & size(X,S1,Ta)
          & reorganization_type(Y,Rt,Ta)
          & reorganization_type(X,Rt,Ta)
          & reorganization(Y,Ta,Tc)
          & reorganization(X,Ta,Tb)
          & class(Y,C,Ta)
          & class(X,C,Ta)
          & organization(Y,Tc)
          & organization(Y,Ta)
          & organization(X,Ta) )
       => greater(Tc,Tb) ),
    inference(negated_conjecture,[status(cth)],[f4]) ).

fof(f6,plain,
    ! [X,T] :
      ( ? [I] : inertia(X,I,T)
      | ~ organization(X,T) ),
    inference(pre_NNF_transformation,[status(thm)],[f1]) ).

fof(f7,plain,
    ! [X,T] :
      ( inertia(X,sK0_skl(T,X),T)
      | ~ organization(X,T) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(I,sK0_skl(T,X))],[f6]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( inertia(X0,sK0_skl(X1,X0),X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f9,plain,
    ! [X,Y,C,S1,S2,I1,I2,T1,T2] :
      ( greater(I2,I1)
      | ~ greater(S2,S1)
      | ~ inertia(Y,I2,T2)
      | ~ inertia(X,I1,T1)
      | ~ size(Y,S2,T2)
      | ~ size(X,S1,T1)
      | ~ class(Y,C,T2)
      | ~ class(X,C,T1)
      | ~ organization(Y,T2)
      | ~ organization(X,T1) ),
    inference(pre_NNF_transformation,[status(thm)],[f2]) ).

fof(f10,plain,
    ! [I1,I2] :
      ( greater(I2,I1)
      | ! [S1,S2] :
          ( ~ greater(S2,S1)
          | ! [Y,T2] :
              ( ~ inertia(Y,I2,T2)
              | ! [X,T1] :
                  ( ~ inertia(X,I1,T1)
                  | ~ size(Y,S2,T2)
                  | ~ size(X,S1,T1)
                  | ! [C] :
                      ( ~ class(Y,C,T2)
                      | ~ class(X,C,T1)
                      | ~ organization(Y,T2)
                      | ~ organization(X,T1) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f9]) ).

fof(f11,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( greater(X8,X7)
      | ~ greater(X6,X5)
      | ~ inertia(X2,X8,X3)
      | ~ inertia(X0,X7,X1)
      | ~ size(X2,X6,X3)
      | ~ size(X0,X5,X1)
      | ~ class(X2,X4,X3)
      | ~ class(X0,X4,X1)
      | ~ organization(X2,X3)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f12,plain,
    ! [X,Y,Rt,C,I1,I2,Ta,Tb,Tc] :
      ( greater(Tc,Tb)
      | ~ greater(I2,I1)
      | ~ inertia(Y,I2,Ta)
      | ~ inertia(X,I1,Ta)
      | ~ reorganization_type(Y,Rt,Ta)
      | ~ reorganization_type(X,Rt,Ta)
      | ~ reorganization(Y,Ta,Tc)
      | ~ reorganization(X,Ta,Tb)
      | ~ class(Y,C,Ta)
      | ~ class(X,C,Ta)
      | ~ organization(Y,Tc)
      | ~ organization(Y,Ta)
      | ~ organization(X,Ta) ),
    inference(pre_NNF_transformation,[status(thm)],[f3]) ).

fof(f13,plain,
    ! [Tb,Tc] :
      ( greater(Tc,Tb)
      | ! [I1,I2] :
          ( ~ greater(I2,I1)
          | ! [Y,Ta] :
              ( ~ inertia(Y,I2,Ta)
              | ! [X] :
                  ( ~ inertia(X,I1,Ta)
                  | ! [Rt] :
                      ( ~ reorganization_type(Y,Rt,Ta)
                      | ~ reorganization_type(X,Rt,Ta)
                      | ~ reorganization(Y,Ta,Tc)
                      | ~ reorganization(X,Ta,Tb)
                      | ! [C] :
                          ( ~ class(Y,C,Ta)
                          | ~ class(X,C,Ta)
                          | ~ organization(Y,Tc)
                          | ~ organization(Y,Ta)
                          | ~ organization(X,Ta) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f12]) ).

fof(f14,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( greater(X3,X5)
      | ~ greater(X8,X7)
      | ~ inertia(X2,X8,X1)
      | ~ inertia(X0,X7,X1)
      | ~ reorganization_type(X2,X6,X1)
      | ~ reorganization_type(X0,X6,X1)
      | ~ reorganization(X2,X1,X3)
      | ~ reorganization(X0,X1,X5)
      | ~ class(X2,X4,X1)
      | ~ class(X0,X4,X1)
      | ~ organization(X2,X3)
      | ~ organization(X2,X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f15,plain,
    ? [X,Y,Rt,C,S1,S2,Ta,Tb,Tc] :
      ( ~ greater(Tc,Tb)
      & greater(S2,S1)
      & size(Y,S2,Ta)
      & size(X,S1,Ta)
      & reorganization_type(Y,Rt,Ta)
      & reorganization_type(X,Rt,Ta)
      & reorganization(Y,Ta,Tc)
      & reorganization(X,Ta,Tb)
      & class(Y,C,Ta)
      & class(X,C,Ta)
      & organization(Y,Tc)
      & organization(Y,Ta)
      & organization(X,Ta) ),
    inference(pre_NNF_transformation,[status(thm)],[f5]) ).

fof(f16,plain,
    ? [Tb,Tc] :
      ( ~ greater(Tc,Tb)
      & ? [S1,S2] :
          ( greater(S2,S1)
          & ? [Y,Ta] :
              ( size(Y,S2,Ta)
              & ? [X] :
                  ( size(X,S1,Ta)
                  & ? [Rt] :
                      ( reorganization_type(Y,Rt,Ta)
                      & reorganization_type(X,Rt,Ta)
                      & reorganization(Y,Ta,Tc)
                      & reorganization(X,Ta,Tb)
                      & ? [C] :
                          ( class(Y,C,Ta)
                          & class(X,C,Ta)
                          & organization(Y,Tc)
                          & organization(Y,Ta)
                          & organization(X,Ta) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f15]) ).

fof(f17,plain,
    ( ~ greater(sK2_skl,sK1_skl)
    & greater(sK4_skl,sK3_skl)
    & size(sK5_skl,sK4_skl,sK6_skl)
    & size(sK7_skl,sK3_skl,sK6_skl)
    & reorganization_type(sK5_skl,sK8_skl,sK6_skl)
    & reorganization_type(sK7_skl,sK8_skl,sK6_skl)
    & reorganization(sK5_skl,sK6_skl,sK2_skl)
    & reorganization(sK7_skl,sK6_skl,sK1_skl)
    & class(sK5_skl,sK9_skl,sK6_skl)
    & class(sK7_skl,sK9_skl,sK6_skl)
    & organization(sK5_skl,sK2_skl)
    & organization(sK5_skl,sK6_skl)
    & organization(sK7_skl,sK6_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl]),skolemize(Tb,sK1_skl),skolemize(Tc,sK2_skl),skolemize(S1,sK3_skl),skolemize(S2,sK4_skl),skolemize(Y,sK5_skl),skolemize(Ta,sK6_skl),skolemize(X,sK7_skl),skolemize(Rt,sK8_skl),skolemize(C,sK9_skl)],[f16]) ).

fof(f18,plain,
    organization(sK7_skl,sK6_skl),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f19,plain,
    organization(sK5_skl,sK6_skl),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f20,plain,
    organization(sK5_skl,sK2_skl),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f21,plain,
    class(sK7_skl,sK9_skl,sK6_skl),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f22,plain,
    class(sK5_skl,sK9_skl,sK6_skl),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f23,plain,
    reorganization(sK7_skl,sK6_skl,sK1_skl),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f24,plain,
    reorganization(sK5_skl,sK6_skl,sK2_skl),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f25,plain,
    reorganization_type(sK7_skl,sK8_skl,sK6_skl),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f26,plain,
    reorganization_type(sK5_skl,sK8_skl,sK6_skl),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f27,plain,
    size(sK7_skl,sK3_skl,sK6_skl),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f28,plain,
    size(sK5_skl,sK4_skl,sK6_skl),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f29,plain,
    greater(sK4_skl,sK3_skl),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f30,plain,
    ~ greater(sK2_skl,sK1_skl),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f32,plain,
    inertia(sK5_skl,sK0_skl(sK6_skl,sK5_skl),sK6_skl),
    inference(resolution,[status(thm)],[f8,f19]) ).

fof(f33,plain,
    inertia(sK7_skl,sK0_skl(sK6_skl,sK7_skl),sK6_skl),
    inference(resolution,[status(thm)],[f8,f18]) ).

fof(f34,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( greater(X5,X4)
      | ~ greater(X3,X2)
      | ~ inertia(X0,X5,X1)
      | ~ inertia(sK7_skl,X4,sK6_skl)
      | ~ size(X0,X3,X1)
      | ~ size(sK7_skl,X2,sK6_skl)
      | ~ class(X0,sK9_skl,X1)
      | ~ organization(X0,X1)
      | ~ organization(sK7_skl,sK6_skl) ),
    inference(resolution,[status(thm)],[f11,f21]) ).

fof(f35,definition,
    ( sQ0_spl
  <=> organization(sK7_skl,sK6_skl) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f37,plain,
    ( sQ0_spl
    | ~ organization(sK7_skl,sK6_skl) ),
    inference(component_clause,[status(thm)],[f35]) ).

fof(f38,definition,
    ! [X0,X1,X2,X3,X4,X5] :
      ( sQ1_spl
    <=> ( greater(X5,X4)
        | ~ greater(X3,X2)
        | ~ inertia(X0,X5,X1)
        | ~ inertia(sK7_skl,X4,sK6_skl)
        | ~ size(X0,X3,X1)
        | ~ size(sK7_skl,X2,sK6_skl)
        | ~ class(X0,sK9_skl,X1)
        | ~ organization(X0,X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f39,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ1_spl
      | greater(X5,X4)
      | ~ greater(X3,X2)
      | ~ inertia(X0,X5,X1)
      | ~ inertia(sK7_skl,X4,sK6_skl)
      | ~ size(X0,X3,X1)
      | ~ size(sK7_skl,X2,sK6_skl)
      | ~ class(X0,sK9_skl,X1)
      | ~ organization(X0,X1) ),
    inference(component_clause,[status(thm)],[f38]) ).

fof(f41,plain,
    ( sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f34,f35,f38]) ).

fof(f42,plain,
    ( sQ0_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f37,f18]) ).

fof(f43,plain,
    sQ0_spl,
    inference(contradiction_clause,[status(thm)],[f42]) ).

fof(f45,definition,
    ( sQ2_spl
  <=> organization(sK5_skl,sK6_skl) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f47,plain,
    ( sQ2_spl
    | ~ organization(sK5_skl,sK6_skl) ),
    inference(component_clause,[status(thm)],[f45]) ).

fof(f52,plain,
    ( sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f47,f19]) ).

fof(f53,plain,
    sQ2_spl,
    inference(contradiction_clause,[status(thm)],[f52]) ).

fof(f55,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( greater(X1,X2)
      | ~ greater(X5,X4)
      | ~ inertia(X0,X5,sK6_skl)
      | ~ inertia(sK7_skl,X4,sK6_skl)
      | ~ reorganization_type(X0,X3,sK6_skl)
      | ~ reorganization_type(sK7_skl,X3,sK6_skl)
      | ~ reorganization(X0,sK6_skl,X1)
      | ~ reorganization(sK7_skl,sK6_skl,X2)
      | ~ class(X0,sK9_skl,sK6_skl)
      | ~ organization(X0,X1)
      | ~ organization(X0,sK6_skl)
      | ~ organization(sK7_skl,sK6_skl) ),
    inference(resolution,[status(thm)],[f14,f21]) ).

fof(f60,definition,
    ! [X0,X1,X2,X3,X4,X5] :
      ( sQ5_spl
    <=> ( greater(X1,X2)
        | ~ greater(X5,X4)
        | ~ inertia(X0,X5,sK6_skl)
        | ~ inertia(sK7_skl,X4,sK6_skl)
        | ~ reorganization_type(X0,X3,sK6_skl)
        | ~ reorganization_type(sK7_skl,X3,sK6_skl)
        | ~ reorganization(X0,sK6_skl,X1)
        | ~ reorganization(sK7_skl,sK6_skl,X2)
        | ~ class(X0,sK9_skl,sK6_skl)
        | ~ organization(X0,X1)
        | ~ organization(X0,sK6_skl) ) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f61,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ sQ5_spl
      | greater(X1,X2)
      | ~ greater(X5,X4)
      | ~ inertia(X0,X5,sK6_skl)
      | ~ inertia(sK7_skl,X4,sK6_skl)
      | ~ reorganization_type(X0,X3,sK6_skl)
      | ~ reorganization_type(sK7_skl,X3,sK6_skl)
      | ~ reorganization(X0,sK6_skl,X1)
      | ~ reorganization(sK7_skl,sK6_skl,X2)
      | ~ class(X0,sK9_skl,sK6_skl)
      | ~ organization(X0,X1)
      | ~ organization(X0,sK6_skl) ),
    inference(component_clause,[status(thm)],[f60]) ).

fof(f63,plain,
    ( sQ5_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f55,f35,f60]) ).

fof(f64,plain,
    ! [X0,X1,X2,X3] :
      ( ~ sQ1_spl
      | greater(X3,X2)
      | ~ greater(X1,X0)
      | ~ inertia(sK5_skl,X3,sK6_skl)
      | ~ inertia(sK7_skl,X2,sK6_skl)
      | ~ size(sK5_skl,X1,sK6_skl)
      | ~ size(sK7_skl,X0,sK6_skl)
      | ~ organization(sK5_skl,sK6_skl) ),
    inference(resolution,[status(thm)],[f39,f22]) ).

fof(f66,definition,
    ! [X0,X1] :
      ( sQ6_spl
    <=> ( ~ greater(X1,X0)
        | ~ size(sK5_skl,X1,sK6_skl)
        | ~ size(sK7_skl,X0,sK6_skl) ) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ sQ6_spl
      | ~ greater(X1,X0)
      | ~ size(sK5_skl,X1,sK6_skl)
      | ~ size(sK7_skl,X0,sK6_skl) ),
    inference(component_clause,[status(thm)],[f66]) ).

fof(f69,definition,
    ! [X2,X3] :
      ( sQ7_spl
    <=> ( greater(X3,X2)
        | ~ inertia(sK5_skl,X3,sK6_skl)
        | ~ inertia(sK7_skl,X2,sK6_skl) ) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( ~ sQ7_spl
      | greater(X1,X0)
      | ~ inertia(sK5_skl,X1,sK6_skl)
      | ~ inertia(sK7_skl,X0,sK6_skl) ),
    inference(component_clause,[status(thm)],[f69]) ).

fof(f72,plain,
    ( ~ sQ1_spl
    | sQ7_spl
    | sQ6_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f64,f45,f66,f69,f38]) ).

fof(f80,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | ~ greater(X0,sK3_skl)
      | ~ size(sK5_skl,X0,sK6_skl) ),
    inference(resolution,[status(thm)],[f67,f27]) ).

fof(f81,plain,
    ( ~ sQ6_spl
    | ~ greater(sK4_skl,sK3_skl) ),
    inference(resolution,[status(thm)],[f80,f28]) ).

fof(f82,plain,
    ( ~ sQ6_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f81,f29]) ).

fof(f83,plain,
    ~ sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f82]) ).

fof(f103,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ sQ5_spl
      | greater(X0,X1)
      | ~ greater(X4,X3)
      | ~ inertia(sK5_skl,X4,sK6_skl)
      | ~ inertia(sK7_skl,X3,sK6_skl)
      | ~ reorganization_type(sK5_skl,X2,sK6_skl)
      | ~ reorganization_type(sK7_skl,X2,sK6_skl)
      | ~ reorganization(sK5_skl,sK6_skl,X0)
      | ~ reorganization(sK7_skl,sK6_skl,X1)
      | ~ organization(sK5_skl,X0)
      | ~ organization(sK5_skl,sK6_skl) ),
    inference(resolution,[status(thm)],[f61,f22]) ).

fof(f105,definition,
    ! [X0,X1] :
      ( sQ14_spl
    <=> ( greater(X0,X1)
        | ~ reorganization(sK5_skl,sK6_skl,X0)
        | ~ reorganization(sK7_skl,sK6_skl,X1)
        | ~ organization(sK5_skl,X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( ~ sQ14_spl
      | greater(X0,X1)
      | ~ reorganization(sK5_skl,sK6_skl,X0)
      | ~ reorganization(sK7_skl,sK6_skl,X1)
      | ~ organization(sK5_skl,X0) ),
    inference(component_clause,[status(thm)],[f105]) ).

fof(f108,definition,
    ! [X2] :
      ( sQ15_spl
    <=> ( ~ reorganization_type(sK5_skl,X2,sK6_skl)
        | ~ reorganization_type(sK7_skl,X2,sK6_skl) ) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ sQ15_spl
      | ~ reorganization_type(sK5_skl,X0,sK6_skl)
      | ~ reorganization_type(sK7_skl,X0,sK6_skl) ),
    inference(component_clause,[status(thm)],[f108]) ).

fof(f111,definition,
    ! [X3,X4] :
      ( sQ16_spl
    <=> ( ~ greater(X4,X3)
        | ~ inertia(sK5_skl,X4,sK6_skl)
        | ~ inertia(sK7_skl,X3,sK6_skl) ) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ~ sQ16_spl
      | ~ greater(X1,X0)
      | ~ inertia(sK5_skl,X1,sK6_skl)
      | ~ inertia(sK7_skl,X0,sK6_skl) ),
    inference(component_clause,[status(thm)],[f111]) ).

fof(f114,plain,
    ( ~ sQ5_spl
    | sQ16_spl
    | sQ15_spl
    | sQ14_spl
    | ~ sQ2_spl ),
    inference(split_clause,[status(thm)],[f103,f45,f105,f108,f111,f60]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ~ sQ16_spl
      | ~ sQ7_spl
      | ~ inertia(sK5_skl,X1,sK6_skl)
      | ~ inertia(sK7_skl,X0,sK6_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f112,f70]) ).

fof(f149,plain,
    ( ~ sQ15_spl
    | ~ reorganization_type(sK7_skl,sK8_skl,sK6_skl) ),
    inference(resolution,[status(thm)],[f109,f26]) ).

fof(f150,plain,
    ( ~ sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f149,f25]) ).

fof(f151,plain,
    ~ sQ15_spl,
    inference(contradiction_clause,[status(thm)],[f150]) ).

fof(f180,plain,
    ! [X0] :
      ( ~ sQ14_spl
      | greater(X0,sK1_skl)
      | ~ reorganization(sK5_skl,sK6_skl,X0)
      | ~ organization(sK5_skl,X0) ),
    inference(resolution,[status(thm)],[f106,f23]) ).

fof(f182,plain,
    ( ~ sQ14_spl
    | greater(sK2_skl,sK1_skl)
    | ~ organization(sK5_skl,sK2_skl) ),
    inference(resolution,[status(thm)],[f180,f24]) ).

fof(f183,definition,
    ( sQ28_spl
  <=> organization(sK5_skl,sK2_skl) ),
    introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).

fof(f185,plain,
    ( sQ28_spl
    | ~ organization(sK5_skl,sK2_skl) ),
    inference(component_clause,[status(thm)],[f183]) ).

fof(f186,definition,
    ( sQ29_spl
  <=> greater(sK2_skl,sK1_skl) ),
    introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).

fof(f187,plain,
    ( ~ sQ29_spl
    | greater(sK2_skl,sK1_skl) ),
    inference(component_clause,[status(thm)],[f186]) ).

fof(f189,plain,
    ( ~ sQ14_spl
    | sQ29_spl
    | ~ sQ28_spl ),
    inference(split_clause,[status(thm)],[f182,f183,f186,f105]) ).

fof(f190,definition,
    ! [X0] :
      ( sQ30_spl
    <=> ~ inertia(sK7_skl,X0,sK6_skl) ),
    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).

fof(f191,plain,
    ! [X0] :
      ( ~ sQ30_spl
      | ~ inertia(sK7_skl,X0,sK6_skl) ),
    inference(component_clause,[status(thm)],[f190]) ).

fof(f193,definition,
    ! [X1] :
      ( sQ31_spl
    <=> ~ inertia(sK5_skl,X1,sK6_skl) ),
    introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).

fof(f194,plain,
    ! [X0] :
      ( ~ sQ31_spl
      | ~ inertia(sK5_skl,X0,sK6_skl) ),
    inference(component_clause,[status(thm)],[f193]) ).

fof(f196,plain,
    ( ~ sQ16_spl
    | ~ sQ7_spl
    | sQ31_spl
    | sQ30_spl ),
    inference(split_clause,[status(thm)],[f126,f190,f193,f69,f111]) ).

fof(f197,plain,
    ( ~ sQ29_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f187,f30]) ).

fof(f198,plain,
    ~ sQ29_spl,
    inference(contradiction_clause,[status(thm)],[f197]) ).

fof(f199,plain,
    ( sQ28_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f185,f20]) ).

fof(f200,plain,
    sQ28_spl,
    inference(contradiction_clause,[status(thm)],[f199]) ).

fof(f201,plain,
    ( ~ sQ31_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f32,f194]) ).

fof(f202,plain,
    ~ sQ31_spl,
    inference(contradiction_clause,[status(thm)],[f201]) ).

fof(f203,plain,
    ( ~ sQ30_spl
    | $false ),
    inference(backward_subsumption_resolution,[status(thm)],[f33,f191]) ).

fof(f204,plain,
    ~ sQ30_spl,
    inference(contradiction_clause,[status(thm)],[f203]) ).

fof(f205,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f41,f43,f53,f63,f72,f83,f114,f151,f189,f196,f198,f200,f202,f204]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT017+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n026.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 01:24:07 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.37  % Drodi V4.1.1
% 0.09/0.38  % Refutation found
% 0.09/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42  % Elapsed time: 0.054851 seconds
% 0.13/0.42  % CPU time: 0.094949 seconds
% 0.13/0.42  % Total memory used: 5.483 MB
% 0.13/0.42  % Net memory used: 5.449 MB
%------------------------------------------------------------------------------