TSTP Solution File: PHI012+1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : PHI012+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n019.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 : Mon Jul 18 16:47:38 EDT 2022

% Result   : Theorem 0.14s 0.39s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   63 (  12 unt;   0 def)
%            Number of atoms       :  231 (  20 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :  291 ( 123   ~; 121   |;  33   &)
%                                         (   3 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   48 (   0 sgn  24   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(definition_none_greater,axiom,
    ! [X] :
      ( object(X)
     => ( exemplifies_property(none_greater,X)
      <=> ( exemplifies_property(conceivable,X)
          & ~ ? [Y] :
                ( object(Y)
                & exemplifies_relation(greater_than,Y,X)
                & exemplifies_property(conceivable,Y) ) ) ) ) ).

fof(connectedness_of_greater_than,axiom,
    ! [X,Y] :
      ( ( object(X)
        & object(Y) )
     => ( exemplifies_relation(greater_than,X,Y)
        | exemplifies_relation(greater_than,Y,X)
        | X = Y ) ) ).

fof(lemma_2,conjecture,
    ( ? [X] :
        ( object(X)
        & exemplifies_property(none_greater,X) )
   => ? [X] :
        ( object(X)
        & exemplifies_property(none_greater,X)
        & ! [Y] :
            ( object(Y)
           => ( exemplifies_property(none_greater,Y)
             => Y = X ) ) ) ) ).

fof(subgoal_0,plain,
    ( ? [X] :
        ( object(X)
        & exemplifies_property(none_greater,X) )
   => ? [X] :
        ( object(X)
        & exemplifies_property(none_greater,X)
        & ! [Y] :
            ( object(Y)
           => ( exemplifies_property(none_greater,Y)
             => Y = X ) ) ) ),
    inference(strip,[],[lemma_2]) ).

fof(negate_0_0,plain,
    ~ ( ? [X] :
          ( object(X)
          & exemplifies_property(none_greater,X) )
     => ? [X] :
          ( object(X)
          & exemplifies_property(none_greater,X)
          & ! [Y] :
              ( object(Y)
             => ( exemplifies_property(none_greater,Y)
               => Y = X ) ) ) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ! [X] :
      ( ~ object(X)
      | ( ~ exemplifies_property(none_greater,X)
      <=> ( ~ exemplifies_property(conceivable,X)
          | ? [Y] :
              ( exemplifies_property(conceivable,Y)
              & exemplifies_relation(greater_than,Y,X)
              & object(Y) ) ) ) ),
    inference(canonicalize,[],[definition_none_greater]) ).

fof(normalize_0_1,plain,
    ! [X] :
      ( ~ object(X)
      | ( ~ exemplifies_property(none_greater,X)
      <=> ( ~ exemplifies_property(conceivable,X)
          | ? [Y] :
              ( exemplifies_property(conceivable,Y)
              & exemplifies_relation(greater_than,Y,X)
              & object(Y) ) ) ) ),
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [X,Y] :
      ( ( ~ exemplifies_property(none_greater,X)
        | ~ object(X)
        | exemplifies_property(conceivable,X) )
      & ( ~ exemplifies_property(conceivable,X)
        | ~ object(X)
        | exemplifies_property(conceivable,skolemFOFtoCNF_Y(X))
        | exemplifies_property(none_greater,X) )
      & ( ~ exemplifies_property(conceivable,X)
        | ~ object(X)
        | exemplifies_property(none_greater,X)
        | exemplifies_relation(greater_than,skolemFOFtoCNF_Y(X),X) )
      & ( ~ exemplifies_property(conceivable,X)
        | ~ object(X)
        | exemplifies_property(none_greater,X)
        | object(skolemFOFtoCNF_Y(X)) )
      & ( ~ exemplifies_property(conceivable,Y)
        | ~ exemplifies_property(none_greater,X)
        | ~ exemplifies_relation(greater_than,Y,X)
        | ~ object(X)
        | ~ object(Y) ) ),
    inference(clausify,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X,Y] :
      ( ~ exemplifies_property(conceivable,Y)
      | ~ exemplifies_property(none_greater,X)
      | ~ exemplifies_relation(greater_than,Y,X)
      | ~ object(X)
      | ~ object(Y) ),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ( ? [X] :
        ( exemplifies_property(none_greater,X)
        & object(X) )
    & ! [X] :
        ( ~ exemplifies_property(none_greater,X)
        | ~ object(X)
        | ? [Y] :
            ( Y != X
            & exemplifies_property(none_greater,Y)
            & object(Y) ) ) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_5,plain,
    ? [X] :
      ( exemplifies_property(none_greater,X)
      & object(X) ),
    inference(conjunct,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ( exemplifies_property(none_greater,skolemFOFtoCNF_X)
    & object(skolemFOFtoCNF_X) ),
    inference(skolemize,[],[normalize_0_5]) ).

fof(normalize_0_7,plain,
    exemplifies_property(none_greater,skolemFOFtoCNF_X),
    inference(conjunct,[],[normalize_0_6]) ).

fof(normalize_0_8,plain,
    ! [X] :
      ( ~ exemplifies_property(none_greater,X)
      | ~ object(X)
      | ? [Y] :
          ( Y != X
          & exemplifies_property(none_greater,Y)
          & object(Y) ) ),
    inference(conjunct,[],[normalize_0_4]) ).

fof(normalize_0_9,plain,
    ! [X] :
      ( ~ exemplifies_property(none_greater,X)
      | ~ object(X)
      | ? [Y] :
          ( Y != X
          & exemplifies_property(none_greater,Y)
          & object(Y) ) ),
    inference(specialize,[],[normalize_0_8]) ).

fof(normalize_0_10,plain,
    ! [X] :
      ( ( skolemFOFtoCNF_Y_1(X) != X
        | ~ exemplifies_property(none_greater,X)
        | ~ object(X) )
      & ( ~ exemplifies_property(none_greater,X)
        | ~ object(X)
        | exemplifies_property(none_greater,skolemFOFtoCNF_Y_1(X)) )
      & ( ~ exemplifies_property(none_greater,X)
        | ~ object(X)
        | object(skolemFOFtoCNF_Y_1(X)) ) ),
    inference(clausify,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    ! [X] :
      ( ~ exemplifies_property(none_greater,X)
      | ~ object(X)
      | object(skolemFOFtoCNF_Y_1(X)) ),
    inference(conjunct,[],[normalize_0_10]) ).

fof(normalize_0_12,plain,
    object(skolemFOFtoCNF_X),
    inference(conjunct,[],[normalize_0_6]) ).

fof(normalize_0_13,plain,
    ! [X,Y] :
      ( ~ object(X)
      | ~ object(Y)
      | X = Y
      | exemplifies_relation(greater_than,X,Y)
      | exemplifies_relation(greater_than,Y,X) ),
    inference(canonicalize,[],[connectedness_of_greater_than]) ).

fof(normalize_0_14,plain,
    ! [X,Y] :
      ( ~ object(X)
      | ~ object(Y)
      | X = Y
      | exemplifies_relation(greater_than,X,Y)
      | exemplifies_relation(greater_than,Y,X) ),
    inference(specialize,[],[normalize_0_13]) ).

fof(normalize_0_15,plain,
    ! [X] :
      ( skolemFOFtoCNF_Y_1(X) != X
      | ~ exemplifies_property(none_greater,X)
      | ~ object(X) ),
    inference(conjunct,[],[normalize_0_10]) ).

fof(normalize_0_16,plain,
    ! [X] :
      ( ~ exemplifies_property(none_greater,X)
      | ~ object(X)
      | exemplifies_property(conceivable,X) ),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_17,plain,
    ! [X] :
      ( ~ exemplifies_property(none_greater,X)
      | ~ object(X)
      | exemplifies_property(none_greater,skolemFOFtoCNF_Y_1(X)) ),
    inference(conjunct,[],[normalize_0_10]) ).

cnf(refute_0_0,plain,
    ( ~ exemplifies_property(conceivable,Y)
    | ~ exemplifies_property(none_greater,X)
    | ~ exemplifies_relation(greater_than,Y,X)
    | ~ object(X)
    | ~ object(Y) ),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_1,plain,
    ( ~ exemplifies_property(conceivable,skolemFOFtoCNF_X)
    | ~ exemplifies_property(none_greater,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X))
    | ~ exemplifies_relation(greater_than,skolemFOFtoCNF_X,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X))
    | ~ object(skolemFOFtoCNF_X)
    | ~ object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) ),
    inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X))),bind(Y,$fot(skolemFOFtoCNF_X))]]) ).

cnf(refute_0_2,plain,
    ( ~ exemplifies_property(conceivable,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X))
    | ~ exemplifies_property(none_greater,skolemFOFtoCNF_X)
    | ~ exemplifies_relation(greater_than,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X),skolemFOFtoCNF_X)
    | ~ object(skolemFOFtoCNF_X)
    | ~ object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) ),
    inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)))]]) ).

cnf(refute_0_3,plain,
    exemplifies_property(none_greater,skolemFOFtoCNF_X),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_4,plain,
    ( ~ exemplifies_property(none_greater,X)
    | ~ object(X)
    | object(skolemFOFtoCNF_Y_1(X)) ),
    inference(canonicalize,[],[normalize_0_11]) ).

cnf(refute_0_5,plain,
    ( ~ exemplifies_property(none_greater,skolemFOFtoCNF_X)
    | ~ object(skolemFOFtoCNF_X)
    | object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).

cnf(refute_0_6,plain,
    ( ~ object(skolemFOFtoCNF_X)
    | object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) ),
    inference(resolve,[$cnf( exemplifies_property(none_greater,skolemFOFtoCNF_X) )],[refute_0_3,refute_0_5]) ).

cnf(refute_0_7,plain,
    object(skolemFOFtoCNF_X),
    inference(canonicalize,[],[normalize_0_12]) ).

cnf(refute_0_8,plain,
    object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)),
    inference(resolve,[$cnf( object(skolemFOFtoCNF_X) )],[refute_0_7,refute_0_6]) ).

cnf(refute_0_9,plain,
    ( ~ object(X)
    | ~ object(Y)
    | X = Y
    | exemplifies_relation(greater_than,X,Y)
    | exemplifies_relation(greater_than,Y,X) ),
    inference(canonicalize,[],[normalize_0_14]) ).

cnf(refute_0_10,plain,
    ( ~ object(X_9)
    | ~ object(skolemFOFtoCNF_X)
    | X_9 = skolemFOFtoCNF_X
    | exemplifies_relation(greater_than,X_9,skolemFOFtoCNF_X)
    | exemplifies_relation(greater_than,skolemFOFtoCNF_X,X_9) ),
    inference(subst,[],[refute_0_9:[bind(X,$fot(X_9)),bind(Y,$fot(skolemFOFtoCNF_X))]]) ).

cnf(refute_0_11,plain,
    ( ~ object(X_9)
    | X_9 = skolemFOFtoCNF_X
    | exemplifies_relation(greater_than,X_9,skolemFOFtoCNF_X)
    | exemplifies_relation(greater_than,skolemFOFtoCNF_X,X_9) ),
    inference(resolve,[$cnf( object(skolemFOFtoCNF_X) )],[refute_0_7,refute_0_10]) ).

cnf(refute_0_12,plain,
    ( ~ object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X))
    | skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X) = skolemFOFtoCNF_X
    | exemplifies_relation(greater_than,skolemFOFtoCNF_X,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X))
    | exemplifies_relation(greater_than,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X),skolemFOFtoCNF_X) ),
    inference(subst,[],[refute_0_11:[bind(X_9,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)))]]) ).

cnf(refute_0_13,plain,
    ( skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X) = skolemFOFtoCNF_X
    | exemplifies_relation(greater_than,skolemFOFtoCNF_X,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X))
    | exemplifies_relation(greater_than,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X),skolemFOFtoCNF_X) ),
    inference(resolve,[$cnf( object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) )],[refute_0_8,refute_0_12]) ).

cnf(refute_0_14,plain,
    ( skolemFOFtoCNF_Y_1(X) != X
    | ~ exemplifies_property(none_greater,X)
    | ~ object(X) ),
    inference(canonicalize,[],[normalize_0_15]) ).

cnf(refute_0_15,plain,
    ( skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X) != skolemFOFtoCNF_X
    | ~ exemplifies_property(none_greater,skolemFOFtoCNF_X)
    | ~ object(skolemFOFtoCNF_X) ),
    inference(subst,[],[refute_0_14:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).

cnf(refute_0_16,plain,
    ( skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X) != skolemFOFtoCNF_X
    | ~ object(skolemFOFtoCNF_X) ),
    inference(resolve,[$cnf( exemplifies_property(none_greater,skolemFOFtoCNF_X) )],[refute_0_3,refute_0_15]) ).

cnf(refute_0_17,plain,
    skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X) != skolemFOFtoCNF_X,
    inference(resolve,[$cnf( object(skolemFOFtoCNF_X) )],[refute_0_7,refute_0_16]) ).

cnf(refute_0_18,plain,
    ( exemplifies_relation(greater_than,skolemFOFtoCNF_X,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X))
    | exemplifies_relation(greater_than,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X),skolemFOFtoCNF_X) ),
    inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X),skolemFOFtoCNF_X) )],[refute_0_13,refute_0_17]) ).

cnf(refute_0_19,plain,
    ( ~ exemplifies_property(conceivable,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X))
    | ~ exemplifies_property(none_greater,skolemFOFtoCNF_X)
    | ~ object(skolemFOFtoCNF_X)
    | ~ object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X))
    | exemplifies_relation(greater_than,skolemFOFtoCNF_X,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) ),
    inference(resolve,[$cnf( exemplifies_relation(greater_than,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X),skolemFOFtoCNF_X) )],[refute_0_18,refute_0_2]) ).

cnf(refute_0_20,plain,
    ( ~ exemplifies_property(none_greater,X)
    | ~ object(X)
    | exemplifies_property(conceivable,X) ),
    inference(canonicalize,[],[normalize_0_16]) ).

cnf(refute_0_21,plain,
    ( ~ exemplifies_property(none_greater,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X))
    | ~ object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X))
    | exemplifies_property(conceivable,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) ),
    inference(subst,[],[refute_0_20:[bind(X,$fot(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)))]]) ).

cnf(refute_0_22,plain,
    ( ~ exemplifies_property(none_greater,X)
    | ~ object(X)
    | exemplifies_property(none_greater,skolemFOFtoCNF_Y_1(X)) ),
    inference(canonicalize,[],[normalize_0_17]) ).

cnf(refute_0_23,plain,
    ( ~ exemplifies_property(none_greater,skolemFOFtoCNF_X)
    | ~ object(skolemFOFtoCNF_X)
    | exemplifies_property(none_greater,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) ),
    inference(subst,[],[refute_0_22:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).

cnf(refute_0_24,plain,
    ( ~ object(skolemFOFtoCNF_X)
    | exemplifies_property(none_greater,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) ),
    inference(resolve,[$cnf( exemplifies_property(none_greater,skolemFOFtoCNF_X) )],[refute_0_3,refute_0_23]) ).

cnf(refute_0_25,plain,
    exemplifies_property(none_greater,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)),
    inference(resolve,[$cnf( object(skolemFOFtoCNF_X) )],[refute_0_7,refute_0_24]) ).

cnf(refute_0_26,plain,
    ( ~ object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X))
    | exemplifies_property(conceivable,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) ),
    inference(resolve,[$cnf( exemplifies_property(none_greater,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) )],[refute_0_25,refute_0_21]) ).

cnf(refute_0_27,plain,
    exemplifies_property(conceivable,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)),
    inference(resolve,[$cnf( object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) )],[refute_0_8,refute_0_26]) ).

cnf(refute_0_28,plain,
    ( ~ exemplifies_property(none_greater,skolemFOFtoCNF_X)
    | ~ object(skolemFOFtoCNF_X)
    | ~ object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X))
    | exemplifies_relation(greater_than,skolemFOFtoCNF_X,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) ),
    inference(resolve,[$cnf( exemplifies_property(conceivable,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) )],[refute_0_27,refute_0_19]) ).

cnf(refute_0_29,plain,
    ( ~ object(skolemFOFtoCNF_X)
    | ~ object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X))
    | exemplifies_relation(greater_than,skolemFOFtoCNF_X,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) ),
    inference(resolve,[$cnf( exemplifies_property(none_greater,skolemFOFtoCNF_X) )],[refute_0_3,refute_0_28]) ).

cnf(refute_0_30,plain,
    ( ~ object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X))
    | exemplifies_relation(greater_than,skolemFOFtoCNF_X,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) ),
    inference(resolve,[$cnf( object(skolemFOFtoCNF_X) )],[refute_0_7,refute_0_29]) ).

cnf(refute_0_31,plain,
    exemplifies_relation(greater_than,skolemFOFtoCNF_X,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)),
    inference(resolve,[$cnf( object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) )],[refute_0_8,refute_0_30]) ).

cnf(refute_0_32,plain,
    ( ~ exemplifies_property(conceivable,skolemFOFtoCNF_X)
    | ~ exemplifies_property(none_greater,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X))
    | ~ object(skolemFOFtoCNF_X)
    | ~ object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) ),
    inference(resolve,[$cnf( exemplifies_relation(greater_than,skolemFOFtoCNF_X,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) )],[refute_0_31,refute_0_1]) ).

cnf(refute_0_33,plain,
    ( ~ exemplifies_property(none_greater,skolemFOFtoCNF_X)
    | ~ object(skolemFOFtoCNF_X)
    | exemplifies_property(conceivable,skolemFOFtoCNF_X) ),
    inference(subst,[],[refute_0_20:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).

cnf(refute_0_34,plain,
    ( ~ object(skolemFOFtoCNF_X)
    | exemplifies_property(conceivable,skolemFOFtoCNF_X) ),
    inference(resolve,[$cnf( exemplifies_property(none_greater,skolemFOFtoCNF_X) )],[refute_0_3,refute_0_33]) ).

cnf(refute_0_35,plain,
    exemplifies_property(conceivable,skolemFOFtoCNF_X),
    inference(resolve,[$cnf( object(skolemFOFtoCNF_X) )],[refute_0_7,refute_0_34]) ).

cnf(refute_0_36,plain,
    ( ~ exemplifies_property(none_greater,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X))
    | ~ object(skolemFOFtoCNF_X)
    | ~ object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) ),
    inference(resolve,[$cnf( exemplifies_property(conceivable,skolemFOFtoCNF_X) )],[refute_0_35,refute_0_32]) ).

cnf(refute_0_37,plain,
    ( ~ object(skolemFOFtoCNF_X)
    | ~ object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) ),
    inference(resolve,[$cnf( exemplifies_property(none_greater,skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) )],[refute_0_25,refute_0_36]) ).

cnf(refute_0_38,plain,
    ~ object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)),
    inference(resolve,[$cnf( object(skolemFOFtoCNF_X) )],[refute_0_7,refute_0_37]) ).

cnf(refute_0_39,plain,
    $false,
    inference(resolve,[$cnf( object(skolemFOFtoCNF_Y_1(skolemFOFtoCNF_X)) )],[refute_0_8,refute_0_38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : PHI012+1 : TPTP v8.1.0. Released v7.2.0.
% 0.08/0.14  % Command  : metis --show proof --show saturation %s
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Thu Jun  2 01:39:55 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.39  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39  
% 0.14/0.39  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.14/0.40  
%------------------------------------------------------------------------------