TSTP Solution File: MGT009+1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : MGT009+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 22:18:49 EDT 2022

% Result   : Theorem 0.19s 0.48s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   76 (  29 unt;   0 def)
%            Number of atoms       :  353 (   0 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  491 ( 214   ~; 200   |;  68   &)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :  201 (   0 sgn 102   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mp5,axiom,
    ! [X,T] :
      ( organization(X,T)
     => ? [I] : inertia(X,I,T) ) ).

fof(a3_FOL,hypothesis,
    ! [X,Y,T1,T2,Rp1,Rp2,I1,I2] :
      ( ( organization(X,T1)
        & organization(Y,T2)
        & reorganization_free(X,T1,T1)
        & reorganization_free(Y,T2,T2)
        & reproducibility(X,Rp1,T1)
        & reproducibility(Y,Rp2,T2)
        & inertia(X,I1,T1)
        & inertia(Y,I2,T2) )
     => ( greater(Rp2,Rp1)
      <=> greater(I2,I1) ) ) ).

fof(a5_FOL,hypothesis,
    ! [X,Y,C,S1,S2,I1,I2,T1,T2] :
      ( ( organization(X,T1)
        & organization(Y,T2)
        & class(X,C,T1)
        & class(Y,C,T2)
        & size(X,S1,T1)
        & size(Y,S2,T2)
        & inertia(X,I1,T1)
        & inertia(Y,I2,T2)
        & greater(S2,S1) )
     => greater(I2,I1) ) ).

fof(t9_FOL,conjecture,
    ! [X,Y,C,Rp1,Rp2,S1,S2,T1,T2] :
      ( ( organization(X,T1)
        & organization(Y,T2)
        & reorganization_free(X,T1,T1)
        & reorganization_free(Y,T2,T2)
        & class(X,C,T1)
        & class(Y,C,T2)
        & reproducibility(X,Rp1,T1)
        & reproducibility(Y,Rp2,T2)
        & size(X,S1,T1)
        & size(Y,S2,T2)
        & greater(S2,S1) )
     => greater(Rp2,Rp1) ) ).

fof(subgoal_0,plain,
    ! [X,Y,C,Rp1,Rp2,S1,S2,T1,T2] :
      ( ( organization(X,T1)
        & organization(Y,T2)
        & reorganization_free(X,T1,T1)
        & reorganization_free(Y,T2,T2)
        & class(X,C,T1)
        & class(Y,C,T2)
        & reproducibility(X,Rp1,T1)
        & reproducibility(Y,Rp2,T2)
        & size(X,S1,T1)
        & size(Y,S2,T2)
        & greater(S2,S1) )
     => greater(Rp2,Rp1) ),
    inference(strip,[],[t9_FOL]) ).

fof(negate_0_0,plain,
    ~ ! [X,Y,C,Rp1,Rp2,S1,S2,T1,T2] :
        ( ( organization(X,T1)
          & organization(Y,T2)
          & reorganization_free(X,T1,T1)
          & reorganization_free(Y,T2,T2)
          & class(X,C,T1)
          & class(Y,C,T2)
          & reproducibility(X,Rp1,T1)
          & reproducibility(Y,Rp2,T2)
          & size(X,S1,T1)
          & size(Y,S2,T2)
          & greater(S2,S1) )
       => greater(Rp2,Rp1) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [C,Rp1,Rp2,S1,S2,T1,T2,X,Y] :
      ( ~ greater(Rp2,Rp1)
      & class(X,C,T1)
      & class(Y,C,T2)
      & greater(S2,S1)
      & organization(X,T1)
      & organization(Y,T2)
      & reorganization_free(X,T1,T1)
      & reorganization_free(Y,T2,T2)
      & reproducibility(X,Rp1,T1)
      & reproducibility(Y,Rp2,T2)
      & size(X,S1,T1)
      & size(Y,S2,T2) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ( ~ greater(skolemFOFtoCNF_Rp2,skolemFOFtoCNF_Rp1)
    & class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_T1)
    & class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_T2)
    & greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1)
    & organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
    & organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
    & reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1)
    & reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2)
    & reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp1,skolemFOFtoCNF_T1)
    & reproducibility(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rp2,skolemFOFtoCNF_T2)
    & size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1)
    & size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2) ),
    inference(skolemize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [T,X] :
      ( ~ organization(X,T)
      | ? [I] : inertia(X,I,T) ),
    inference(canonicalize,[],[mp5]) ).

fof(normalize_0_4,plain,
    ! [T,X] :
      ( ~ organization(X,T)
      | ? [I] : inertia(X,I,T) ),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [T,X] :
      ( ~ organization(X,T)
      | inertia(X,skolemFOFtoCNF_I(T,X),T) ),
    inference(clausify,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    reproducibility(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rp2,skolemFOFtoCNF_T2),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_7,plain,
    reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp1,skolemFOFtoCNF_T1),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_8,plain,
    ! [I1,I2,Rp1,Rp2,T1,T2,X,Y] :
      ( ~ inertia(X,I1,T1)
      | ~ inertia(Y,I2,T2)
      | ~ organization(X,T1)
      | ~ organization(Y,T2)
      | ~ reorganization_free(X,T1,T1)
      | ~ reorganization_free(Y,T2,T2)
      | ~ reproducibility(X,Rp1,T1)
      | ~ reproducibility(Y,Rp2,T2)
      | ( ~ greater(I2,I1)
      <=> ~ greater(Rp2,Rp1) ) ),
    inference(canonicalize,[],[a3_FOL]) ).

fof(normalize_0_9,plain,
    ! [I1,I2,Rp1,Rp2,T1,T2,X,Y] :
      ( ~ inertia(X,I1,T1)
      | ~ inertia(Y,I2,T2)
      | ~ organization(X,T1)
      | ~ organization(Y,T2)
      | ~ reorganization_free(X,T1,T1)
      | ~ reorganization_free(Y,T2,T2)
      | ~ reproducibility(X,Rp1,T1)
      | ~ reproducibility(Y,Rp2,T2)
      | ( ~ greater(I2,I1)
      <=> ~ greater(Rp2,Rp1) ) ),
    inference(specialize,[],[normalize_0_8]) ).

fof(normalize_0_10,plain,
    ! [I1,I2,Rp1,Rp2,T1,T2,X,Y] :
      ( ( ~ greater(I2,I1)
        | ~ inertia(X,I1,T1)
        | ~ inertia(Y,I2,T2)
        | ~ organization(X,T1)
        | ~ organization(Y,T2)
        | ~ reorganization_free(X,T1,T1)
        | ~ reorganization_free(Y,T2,T2)
        | ~ reproducibility(X,Rp1,T1)
        | ~ reproducibility(Y,Rp2,T2)
        | greater(Rp2,Rp1) )
      & ( ~ greater(Rp2,Rp1)
        | ~ inertia(X,I1,T1)
        | ~ inertia(Y,I2,T2)
        | ~ organization(X,T1)
        | ~ organization(Y,T2)
        | ~ reorganization_free(X,T1,T1)
        | ~ reorganization_free(Y,T2,T2)
        | ~ reproducibility(X,Rp1,T1)
        | ~ reproducibility(Y,Rp2,T2)
        | greater(I2,I1) ) ),
    inference(clausify,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    ! [I1,I2,Rp1,Rp2,T1,T2,X,Y] :
      ( ~ greater(I2,I1)
      | ~ inertia(X,I1,T1)
      | ~ inertia(Y,I2,T2)
      | ~ organization(X,T1)
      | ~ organization(Y,T2)
      | ~ reorganization_free(X,T1,T1)
      | ~ reorganization_free(Y,T2,T2)
      | ~ reproducibility(X,Rp1,T1)
      | ~ reproducibility(Y,Rp2,T2)
      | greater(Rp2,Rp1) ),
    inference(conjunct,[],[normalize_0_10]) ).

fof(normalize_0_12,plain,
    reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_13,plain,
    organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_14,plain,
    reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_15,plain,
    ~ greater(skolemFOFtoCNF_Rp2,skolemFOFtoCNF_Rp1),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_16,plain,
    class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_T2),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_17,plain,
    size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_18,plain,
    size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_19,plain,
    ! [C,I1,I2,S1,S2,T1,T2,X,Y] :
      ( ~ class(X,C,T1)
      | ~ class(Y,C,T2)
      | ~ greater(S2,S1)
      | ~ inertia(X,I1,T1)
      | ~ inertia(Y,I2,T2)
      | ~ organization(X,T1)
      | ~ organization(Y,T2)
      | ~ size(X,S1,T1)
      | ~ size(Y,S2,T2)
      | greater(I2,I1) ),
    inference(canonicalize,[],[a5_FOL]) ).

fof(normalize_0_20,plain,
    ! [C,I1,I2,S1,S2,T1,T2,X,Y] :
      ( ~ class(X,C,T1)
      | ~ class(Y,C,T2)
      | ~ greater(S2,S1)
      | ~ inertia(X,I1,T1)
      | ~ inertia(Y,I2,T2)
      | ~ organization(X,T1)
      | ~ organization(Y,T2)
      | ~ size(X,S1,T1)
      | ~ size(Y,S2,T2)
      | greater(I2,I1) ),
    inference(specialize,[],[normalize_0_19]) ).

fof(normalize_0_21,plain,
    greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_22,plain,
    class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_T1),
    inference(conjunct,[],[normalize_0_1]) ).

cnf(refute_0_0,plain,
    organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    ( ~ organization(X,T)
    | inertia(X,skolemFOFtoCNF_I(T,X),T) ),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_2,plain,
    ( ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
    | inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1) ),
    inference(subst,[],[refute_0_1:[bind(T,$fot(skolemFOFtoCNF_T1)),bind(X,$fot(skolemFOFtoCNF_X))]]) ).

cnf(refute_0_3,plain,
    inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1),
    inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_0,refute_0_2]) ).

cnf(refute_0_4,plain,
    reproducibility(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rp2,skolemFOFtoCNF_T2),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_5,plain,
    reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp1,skolemFOFtoCNF_T1),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_6,plain,
    ( ~ greater(I2,I1)
    | ~ inertia(X,I1,T1)
    | ~ inertia(Y,I2,T2)
    | ~ organization(X,T1)
    | ~ organization(Y,T2)
    | ~ reorganization_free(X,T1,T1)
    | ~ reorganization_free(Y,T2,T2)
    | ~ reproducibility(X,Rp1,T1)
    | ~ reproducibility(Y,Rp2,T2)
    | greater(Rp2,Rp1) ),
    inference(canonicalize,[],[normalize_0_11]) ).

cnf(refute_0_7,plain,
    ( ~ greater(X_309,X_308)
    | ~ inertia(X_315,X_309,X_313)
    | ~ inertia(skolemFOFtoCNF_X,X_308,skolemFOFtoCNF_T1)
    | ~ organization(X_315,X_313)
    | ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
    | ~ reorganization_free(X_315,X_313,X_313)
    | ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1)
    | ~ reproducibility(X_315,X_311,X_313)
    | ~ reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp1,skolemFOFtoCNF_T1)
    | greater(X_311,skolemFOFtoCNF_Rp1) ),
    inference(subst,[],[refute_0_6:[bind(I1,$fot(X_308)),bind(I2,$fot(X_309)),bind(Rp1,$fot(skolemFOFtoCNF_Rp1)),bind(Rp2,$fot(X_311)),bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(X_313)),bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(X_315))]]) ).

cnf(refute_0_8,plain,
    ( ~ greater(X_309,X_308)
    | ~ inertia(X_315,X_309,X_313)
    | ~ inertia(skolemFOFtoCNF_X,X_308,skolemFOFtoCNF_T1)
    | ~ organization(X_315,X_313)
    | ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
    | ~ reorganization_free(X_315,X_313,X_313)
    | ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1)
    | ~ reproducibility(X_315,X_311,X_313)
    | greater(X_311,skolemFOFtoCNF_Rp1) ),
    inference(resolve,[$cnf( reproducibility(skolemFOFtoCNF_X,skolemFOFtoCNF_Rp1,skolemFOFtoCNF_T1) )],[refute_0_5,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ greater(X_309,X_308)
    | ~ inertia(X_315,X_309,X_313)
    | ~ inertia(skolemFOFtoCNF_X,X_308,skolemFOFtoCNF_T1)
    | ~ organization(X_315,X_313)
    | ~ reorganization_free(X_315,X_313,X_313)
    | ~ reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1)
    | ~ reproducibility(X_315,X_311,X_313)
    | greater(X_311,skolemFOFtoCNF_Rp1) ),
    inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_0,refute_0_8]) ).

cnf(refute_0_10,plain,
    reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1),
    inference(canonicalize,[],[normalize_0_12]) ).

cnf(refute_0_11,plain,
    ( ~ greater(X_309,X_308)
    | ~ inertia(X_315,X_309,X_313)
    | ~ inertia(skolemFOFtoCNF_X,X_308,skolemFOFtoCNF_T1)
    | ~ organization(X_315,X_313)
    | ~ reorganization_free(X_315,X_313,X_313)
    | ~ reproducibility(X_315,X_311,X_313)
    | greater(X_311,skolemFOFtoCNF_Rp1) ),
    inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_X,skolemFOFtoCNF_T1,skolemFOFtoCNF_T1) )],[refute_0_10,refute_0_9]) ).

cnf(refute_0_12,plain,
    ( ~ greater(X_317,X_316)
    | ~ inertia(skolemFOFtoCNF_X,X_316,skolemFOFtoCNF_T1)
    | ~ inertia(skolemFOFtoCNF_Y,X_317,skolemFOFtoCNF_T2)
    | ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
    | ~ reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2)
    | ~ reproducibility(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rp2,skolemFOFtoCNF_T2)
    | greater(skolemFOFtoCNF_Rp2,skolemFOFtoCNF_Rp1) ),
    inference(subst,[],[refute_0_11:[bind(X_308,$fot(X_316)),bind(X_309,$fot(X_317)),bind(X_311,$fot(skolemFOFtoCNF_Rp2)),bind(X_313,$fot(skolemFOFtoCNF_T2)),bind(X_315,$fot(skolemFOFtoCNF_Y))]]) ).

cnf(refute_0_13,plain,
    ( ~ greater(X_317,X_316)
    | ~ inertia(skolemFOFtoCNF_X,X_316,skolemFOFtoCNF_T1)
    | ~ inertia(skolemFOFtoCNF_Y,X_317,skolemFOFtoCNF_T2)
    | ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
    | ~ reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2)
    | greater(skolemFOFtoCNF_Rp2,skolemFOFtoCNF_Rp1) ),
    inference(resolve,[$cnf( reproducibility(skolemFOFtoCNF_Y,skolemFOFtoCNF_Rp2,skolemFOFtoCNF_T2) )],[refute_0_4,refute_0_12]) ).

cnf(refute_0_14,plain,
    organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2),
    inference(canonicalize,[],[normalize_0_13]) ).

cnf(refute_0_15,plain,
    ( ~ greater(X_317,X_316)
    | ~ inertia(skolemFOFtoCNF_X,X_316,skolemFOFtoCNF_T1)
    | ~ inertia(skolemFOFtoCNF_Y,X_317,skolemFOFtoCNF_T2)
    | ~ reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2)
    | greater(skolemFOFtoCNF_Rp2,skolemFOFtoCNF_Rp1) ),
    inference(resolve,[$cnf( organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2) )],[refute_0_14,refute_0_13]) ).

cnf(refute_0_16,plain,
    reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2),
    inference(canonicalize,[],[normalize_0_14]) ).

cnf(refute_0_17,plain,
    ( ~ greater(X_317,X_316)
    | ~ inertia(skolemFOFtoCNF_X,X_316,skolemFOFtoCNF_T1)
    | ~ inertia(skolemFOFtoCNF_Y,X_317,skolemFOFtoCNF_T2)
    | greater(skolemFOFtoCNF_Rp2,skolemFOFtoCNF_Rp1) ),
    inference(resolve,[$cnf( reorganization_free(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2,skolemFOFtoCNF_T2) )],[refute_0_16,refute_0_15]) ).

cnf(refute_0_18,plain,
    ~ greater(skolemFOFtoCNF_Rp2,skolemFOFtoCNF_Rp1),
    inference(canonicalize,[],[normalize_0_15]) ).

cnf(refute_0_19,plain,
    ( ~ greater(X_317,X_316)
    | ~ inertia(skolemFOFtoCNF_X,X_316,skolemFOFtoCNF_T1)
    | ~ inertia(skolemFOFtoCNF_Y,X_317,skolemFOFtoCNF_T2) ),
    inference(resolve,[$cnf( greater(skolemFOFtoCNF_Rp2,skolemFOFtoCNF_Rp1) )],[refute_0_17,refute_0_18]) ).

cnf(refute_0_20,plain,
    ( ~ greater(X_322,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))
    | ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1)
    | ~ inertia(skolemFOFtoCNF_Y,X_322,skolemFOFtoCNF_T2) ),
    inference(subst,[],[refute_0_19:[bind(X_316,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))),bind(X_317,$fot(X_322))]]) ).

cnf(refute_0_21,plain,
    ( ~ greater(X_322,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))
    | ~ inertia(skolemFOFtoCNF_Y,X_322,skolemFOFtoCNF_T2) ),
    inference(resolve,[$cnf( inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1) )],[refute_0_3,refute_0_20]) ).

cnf(refute_0_22,plain,
    ( ~ greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))
    | ~ inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_T2) ),
    inference(subst,[],[refute_0_21:[bind(X_322,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y)))]]) ).

cnf(refute_0_23,plain,
    class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_T2),
    inference(canonicalize,[],[normalize_0_16]) ).

cnf(refute_0_24,plain,
    ( ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
    | inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_T2) ),
    inference(subst,[],[refute_0_1:[bind(T,$fot(skolemFOFtoCNF_T2)),bind(X,$fot(skolemFOFtoCNF_Y))]]) ).

cnf(refute_0_25,plain,
    inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_T2),
    inference(resolve,[$cnf( organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2) )],[refute_0_14,refute_0_24]) ).

cnf(refute_0_26,plain,
    size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2),
    inference(canonicalize,[],[normalize_0_17]) ).

cnf(refute_0_27,plain,
    size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1),
    inference(canonicalize,[],[normalize_0_18]) ).

cnf(refute_0_28,plain,
    ( ~ class(X,C,T1)
    | ~ class(Y,C,T2)
    | ~ greater(S2,S1)
    | ~ inertia(X,I1,T1)
    | ~ inertia(Y,I2,T2)
    | ~ organization(X,T1)
    | ~ organization(Y,T2)
    | ~ size(X,S1,T1)
    | ~ size(Y,S2,T2)
    | greater(I2,I1) ),
    inference(canonicalize,[],[normalize_0_20]) ).

cnf(refute_0_29,plain,
    ( ~ class(X_476,X_468,X_474)
    | ~ class(skolemFOFtoCNF_X,X_468,skolemFOFtoCNF_T1)
    | ~ greater(X_472,skolemFOFtoCNF_S1)
    | ~ inertia(X_476,X_470,X_474)
    | ~ inertia(skolemFOFtoCNF_X,X_469,skolemFOFtoCNF_T1)
    | ~ organization(X_476,X_474)
    | ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
    | ~ size(X_476,X_472,X_474)
    | ~ size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1)
    | greater(X_470,X_469) ),
    inference(subst,[],[refute_0_28:[bind(C,$fot(X_468)),bind(I1,$fot(X_469)),bind(I2,$fot(X_470)),bind(S1,$fot(skolemFOFtoCNF_S1)),bind(S2,$fot(X_472)),bind(T1,$fot(skolemFOFtoCNF_T1)),bind(T2,$fot(X_474)),bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(X_476))]]) ).

cnf(refute_0_30,plain,
    ( ~ class(X_476,X_468,X_474)
    | ~ class(skolemFOFtoCNF_X,X_468,skolemFOFtoCNF_T1)
    | ~ greater(X_472,skolemFOFtoCNF_S1)
    | ~ inertia(X_476,X_470,X_474)
    | ~ inertia(skolemFOFtoCNF_X,X_469,skolemFOFtoCNF_T1)
    | ~ organization(X_476,X_474)
    | ~ organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1)
    | ~ size(X_476,X_472,X_474)
    | greater(X_470,X_469) ),
    inference(resolve,[$cnf( size(skolemFOFtoCNF_X,skolemFOFtoCNF_S1,skolemFOFtoCNF_T1) )],[refute_0_27,refute_0_29]) ).

cnf(refute_0_31,plain,
    ( ~ class(X_476,X_468,X_474)
    | ~ class(skolemFOFtoCNF_X,X_468,skolemFOFtoCNF_T1)
    | ~ greater(X_472,skolemFOFtoCNF_S1)
    | ~ inertia(X_476,X_470,X_474)
    | ~ inertia(skolemFOFtoCNF_X,X_469,skolemFOFtoCNF_T1)
    | ~ organization(X_476,X_474)
    | ~ size(X_476,X_472,X_474)
    | greater(X_470,X_469) ),
    inference(resolve,[$cnf( organization(skolemFOFtoCNF_X,skolemFOFtoCNF_T1) )],[refute_0_0,refute_0_30]) ).

cnf(refute_0_32,plain,
    ( ~ class(skolemFOFtoCNF_X,X_517,skolemFOFtoCNF_T1)
    | ~ class(skolemFOFtoCNF_Y,X_517,skolemFOFtoCNF_T2)
    | ~ greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1)
    | ~ inertia(skolemFOFtoCNF_X,X_518,skolemFOFtoCNF_T1)
    | ~ inertia(skolemFOFtoCNF_Y,X_519,skolemFOFtoCNF_T2)
    | ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
    | ~ size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2)
    | greater(X_519,X_518) ),
    inference(subst,[],[refute_0_31:[bind(X_468,$fot(X_517)),bind(X_469,$fot(X_518)),bind(X_470,$fot(X_519)),bind(X_472,$fot(skolemFOFtoCNF_S2)),bind(X_474,$fot(skolemFOFtoCNF_T2)),bind(X_476,$fot(skolemFOFtoCNF_Y))]]) ).

cnf(refute_0_33,plain,
    ( ~ class(skolemFOFtoCNF_X,X_517,skolemFOFtoCNF_T1)
    | ~ class(skolemFOFtoCNF_Y,X_517,skolemFOFtoCNF_T2)
    | ~ greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1)
    | ~ inertia(skolemFOFtoCNF_X,X_518,skolemFOFtoCNF_T1)
    | ~ inertia(skolemFOFtoCNF_Y,X_519,skolemFOFtoCNF_T2)
    | ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
    | greater(X_519,X_518) ),
    inference(resolve,[$cnf( size(skolemFOFtoCNF_Y,skolemFOFtoCNF_S2,skolemFOFtoCNF_T2) )],[refute_0_26,refute_0_32]) ).

cnf(refute_0_34,plain,
    greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1),
    inference(canonicalize,[],[normalize_0_21]) ).

cnf(refute_0_35,plain,
    ( ~ class(skolemFOFtoCNF_X,X_517,skolemFOFtoCNF_T1)
    | ~ class(skolemFOFtoCNF_Y,X_517,skolemFOFtoCNF_T2)
    | ~ inertia(skolemFOFtoCNF_X,X_518,skolemFOFtoCNF_T1)
    | ~ inertia(skolemFOFtoCNF_Y,X_519,skolemFOFtoCNF_T2)
    | ~ organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2)
    | greater(X_519,X_518) ),
    inference(resolve,[$cnf( greater(skolemFOFtoCNF_S2,skolemFOFtoCNF_S1) )],[refute_0_34,refute_0_33]) ).

cnf(refute_0_36,plain,
    ( ~ class(skolemFOFtoCNF_X,X_517,skolemFOFtoCNF_T1)
    | ~ class(skolemFOFtoCNF_Y,X_517,skolemFOFtoCNF_T2)
    | ~ inertia(skolemFOFtoCNF_X,X_518,skolemFOFtoCNF_T1)
    | ~ inertia(skolemFOFtoCNF_Y,X_519,skolemFOFtoCNF_T2)
    | greater(X_519,X_518) ),
    inference(resolve,[$cnf( organization(skolemFOFtoCNF_Y,skolemFOFtoCNF_T2) )],[refute_0_14,refute_0_35]) ).

cnf(refute_0_37,plain,
    ( ~ class(skolemFOFtoCNF_X,X_523,skolemFOFtoCNF_T1)
    | ~ class(skolemFOFtoCNF_Y,X_523,skolemFOFtoCNF_T2)
    | ~ inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1)
    | ~ inertia(skolemFOFtoCNF_Y,X_525,skolemFOFtoCNF_T2)
    | greater(X_525,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
    inference(subst,[],[refute_0_36:[bind(X_517,$fot(X_523)),bind(X_518,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X))),bind(X_519,$fot(X_525))]]) ).

cnf(refute_0_38,plain,
    ( ~ class(skolemFOFtoCNF_X,X_523,skolemFOFtoCNF_T1)
    | ~ class(skolemFOFtoCNF_Y,X_523,skolemFOFtoCNF_T2)
    | ~ inertia(skolemFOFtoCNF_Y,X_525,skolemFOFtoCNF_T2)
    | greater(X_525,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
    inference(resolve,[$cnf( inertia(skolemFOFtoCNF_X,skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X),skolemFOFtoCNF_T1) )],[refute_0_3,refute_0_37]) ).

cnf(refute_0_39,plain,
    ( ~ class(skolemFOFtoCNF_X,X_526,skolemFOFtoCNF_T1)
    | ~ class(skolemFOFtoCNF_Y,X_526,skolemFOFtoCNF_T2)
    | ~ inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_T2)
    | greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
    inference(subst,[],[refute_0_38:[bind(X_523,$fot(X_526)),bind(X_525,$fot(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y)))]]) ).

cnf(refute_0_40,plain,
    ( ~ class(skolemFOFtoCNF_X,X_526,skolemFOFtoCNF_T1)
    | ~ class(skolemFOFtoCNF_Y,X_526,skolemFOFtoCNF_T2)
    | greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
    inference(resolve,[$cnf( inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_T2) )],[refute_0_25,refute_0_39]) ).

cnf(refute_0_41,plain,
    ( ~ class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_T1)
    | ~ class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_T2)
    | greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
    inference(subst,[],[refute_0_40:[bind(X_526,$fot(skolemFOFtoCNF_C))]]) ).

cnf(refute_0_42,plain,
    ( ~ class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_T1)
    | greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) ),
    inference(resolve,[$cnf( class(skolemFOFtoCNF_Y,skolemFOFtoCNF_C,skolemFOFtoCNF_T2) )],[refute_0_23,refute_0_41]) ).

cnf(refute_0_43,plain,
    class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_T1),
    inference(canonicalize,[],[normalize_0_22]) ).

cnf(refute_0_44,plain,
    greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)),
    inference(resolve,[$cnf( class(skolemFOFtoCNF_X,skolemFOFtoCNF_C,skolemFOFtoCNF_T1) )],[refute_0_43,refute_0_42]) ).

cnf(refute_0_45,plain,
    ~ inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_T2),
    inference(resolve,[$cnf( greater(skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_I(skolemFOFtoCNF_T1,skolemFOFtoCNF_X)) )],[refute_0_44,refute_0_22]) ).

cnf(refute_0_46,plain,
    $false,
    inference(resolve,[$cnf( inertia(skolemFOFtoCNF_Y,skolemFOFtoCNF_I(skolemFOFtoCNF_T2,skolemFOFtoCNF_Y),skolemFOFtoCNF_T2) )],[refute_0_25,refute_0_45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MGT009+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun  9 09:34:19 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.48  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48  
% 0.19/0.48  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.49  
%------------------------------------------------------------------------------