TSTP Solution File: SET626+3 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SET626+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n013.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 : Tue Jul 19 03:36:08 EDT 2022

% Result   : Theorem 173.41s 173.59s
% Output   : CNFRefutation 173.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   63 (  21 unt;   0 def)
%            Number of atoms       :  122 (  15 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  115 (  56   ~;  41   |;   7   &)
%                                         (   7 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   96 (   3 sgn  61   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(intersection_defn,axiom,
    ! [B,C,D] :
      ( member(D,intersection(B,C))
    <=> ( member(D,B)
        & member(D,C) ) ) ).

fof(intersect_defn,axiom,
    ! [B,C] :
      ( intersect(B,C)
    <=> ? [D] :
          ( member(D,B)
          & member(D,C) ) ) ).

fof(commutativity_of_intersection,axiom,
    ! [B,C] : intersection(B,C) = intersection(C,B) ).

fof(symmetry_of_intersect,axiom,
    ! [B,C] :
      ( intersect(B,C)
     => intersect(C,B) ) ).

fof(prove_th102,conjecture,
    ! [B,C,D] :
      ( intersect(B,intersection(C,D))
     => intersect(B,C) ) ).

fof(subgoal_0,plain,
    ! [B,C,D] :
      ( intersect(B,intersection(C,D))
     => intersect(B,C) ),
    inference(strip,[],[prove_th102]) ).

fof(negate_0_0,plain,
    ~ ! [B,C,D] :
        ( intersect(B,intersection(C,D))
       => intersect(B,C) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ! [B,C] :
      ( ~ intersect(B,C)
    <=> ! [D] :
          ( ~ member(D,B)
          | ~ member(D,C) ) ),
    inference(canonicalize,[],[intersect_defn]) ).

fof(normalize_0_1,plain,
    ! [B,C,D] :
      ( ~ member(D,intersection(B,C))
    <=> ( ~ member(D,B)
        | ~ member(D,C) ) ),
    inference(canonicalize,[],[intersection_defn]) ).

fof(normalize_0_2,plain,
    ! [B,C,D] :
      ( ~ member(D,intersection(B,C))
    <=> ( ~ member(D,B)
        | ~ member(D,C) ) ),
    inference(specialize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [B,C] :
      ( ~ intersect(B,C)
    <=> ! [D] : ~ member(D,intersection(B,C)) ),
    inference(simplify,[],[normalize_0_0,normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [B,C] :
      ( ~ intersect(B,C)
    <=> ! [D] : ~ member(D,intersection(B,C)) ),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [B,C,D] :
      ( ( ~ intersect(B,C)
        | member(skolemFOFtoCNF_D(B,C),intersection(B,C)) )
      & ( ~ member(D,intersection(B,C))
        | intersect(B,C) ) ),
    inference(clausify,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ! [B,C,D] :
      ( ~ member(D,intersection(B,C))
      | intersect(B,C) ),
    inference(conjunct,[],[normalize_0_5]) ).

fof(normalize_0_7,plain,
    ! [B,C,D] :
      ( ( ~ member(D,intersection(B,C))
        | member(D,B) )
      & ( ~ member(D,intersection(B,C))
        | member(D,C) )
      & ( ~ member(D,B)
        | ~ member(D,C)
        | member(D,intersection(B,C)) ) ),
    inference(clausify,[],[normalize_0_2]) ).

fof(normalize_0_8,plain,
    ! [B,C,D] :
      ( ~ member(D,intersection(B,C))
      | member(D,B) ),
    inference(conjunct,[],[normalize_0_7]) ).

fof(normalize_0_9,plain,
    ? [B,C] :
      ( ~ intersect(B,C)
      & ? [D] : intersect(B,intersection(C,D)) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_10,plain,
    ( ~ intersect(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
    & ? [D] : intersect(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_C,D)) ),
    inference(skolemize,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    ? [D] : intersect(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_C,D)),
    inference(conjunct,[],[normalize_0_10]) ).

fof(normalize_0_12,plain,
    intersect(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),
    inference(skolemize,[],[normalize_0_11]) ).

fof(normalize_0_13,plain,
    ! [B,C] :
      ( ~ intersect(B,C)
      | intersect(C,B) ),
    inference(canonicalize,[],[symmetry_of_intersect]) ).

fof(normalize_0_14,plain,
    ! [B,C] :
      ( ~ intersect(B,C)
      | intersect(C,B) ),
    inference(specialize,[],[normalize_0_13]) ).

fof(normalize_0_15,plain,
    ! [B,C] :
      ( ~ intersect(B,C)
      | member(skolemFOFtoCNF_D(B,C),intersection(B,C)) ),
    inference(conjunct,[],[normalize_0_5]) ).

fof(normalize_0_16,plain,
    ! [B,C] : intersection(B,C) = intersection(C,B),
    inference(canonicalize,[],[commutativity_of_intersection]) ).

fof(normalize_0_17,plain,
    ! [B,C] : intersection(B,C) = intersection(C,B),
    inference(specialize,[],[normalize_0_16]) ).

fof(normalize_0_18,plain,
    ! [B,C,D] :
      ( ~ member(D,intersection(B,C))
      | member(D,C) ),
    inference(conjunct,[],[normalize_0_7]) ).

fof(normalize_0_19,plain,
    ! [B,C,D] :
      ( ~ member(D,B)
      | ~ member(D,C)
      | member(D,intersection(B,C)) ),
    inference(conjunct,[],[normalize_0_7]) ).

fof(normalize_0_20,plain,
    ~ intersect(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
    inference(conjunct,[],[normalize_0_10]) ).

cnf(refute_0_0,plain,
    ( ~ member(D,intersection(B,C))
    | intersect(B,C) ),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_1,plain,
    ( ~ member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
    | intersect(skolemFOFtoCNF_B,skolemFOFtoCNF_C) ),
    inference(subst,[],[refute_0_0:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(skolemFOFtoCNF_C)),bind(D,$fot(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B)))]]) ).

cnf(refute_0_2,plain,
    ( ~ member(D,intersection(B,C))
    | member(D,B) ),
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_3,plain,
    ( ~ member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2))
    | member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),skolemFOFtoCNF_C) ),
    inference(subst,[],[refute_0_2:[bind(B,$fot(skolemFOFtoCNF_C)),bind(C,$fot(skolemFOFtoCNF_D_2)),bind(D,$fot(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B)))]]) ).

cnf(refute_0_4,plain,
    intersect(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),
    inference(canonicalize,[],[normalize_0_12]) ).

cnf(refute_0_5,plain,
    ( ~ intersect(B,C)
    | intersect(C,B) ),
    inference(canonicalize,[],[normalize_0_14]) ).

cnf(refute_0_6,plain,
    ( ~ intersect(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2))
    | intersect(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B) ),
    inference(subst,[],[refute_0_5:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)))]]) ).

cnf(refute_0_7,plain,
    intersect(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),
    inference(resolve,[$cnf( intersect(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)) )],[refute_0_4,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ intersect(B,C)
    | member(skolemFOFtoCNF_D(B,C),intersection(B,C)) ),
    inference(canonicalize,[],[normalize_0_15]) ).

cnf(refute_0_9,plain,
    ( ~ intersect(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B)
    | member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B)) ),
    inference(subst,[],[refute_0_8:[bind(B,$fot(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2))),bind(C,$fot(skolemFOFtoCNF_B))]]) ).

cnf(refute_0_10,plain,
    member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B)),
    inference(resolve,[$cnf( intersect(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B) )],[refute_0_7,refute_0_9]) ).

cnf(refute_0_11,plain,
    intersection(B,C) = intersection(C,B),
    inference(canonicalize,[],[normalize_0_17]) ).

cnf(refute_0_12,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_13,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_14,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_12,refute_0_13]) ).

cnf(refute_0_15,plain,
    ( intersection(B,C) != intersection(C,B)
    | intersection(C,B) = intersection(B,C) ),
    inference(subst,[],[refute_0_14:[bind(X,$fot(intersection(B,C))),bind(Y,$fot(intersection(C,B)))]]) ).

cnf(refute_0_16,plain,
    intersection(C,B) = intersection(B,C),
    inference(resolve,[$cnf( $equal(intersection(B,C),intersection(C,B)) )],[refute_0_11,refute_0_15]) ).

cnf(refute_0_17,plain,
    intersection(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B) = intersection(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),
    inference(subst,[],[refute_0_16:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)))]]) ).

cnf(refute_0_18,plain,
    ( intersection(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B) != intersection(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2))
    | ~ member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B))
    | member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2))) ),
    introduced(tautology,[equality,[$cnf( member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B)) ),[1],$fot(intersection(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)))]]) ).

cnf(refute_0_19,plain,
    ( ~ member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B))
    | member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2))) ),
    inference(resolve,[$cnf( $equal(intersection(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2))) )],[refute_0_17,refute_0_18]) ).

cnf(refute_0_20,plain,
    member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2))),
    inference(resolve,[$cnf( member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B)) )],[refute_0_10,refute_0_19]) ).

cnf(refute_0_21,plain,
    ( ~ member(D,intersection(B,C))
    | member(D,C) ),
    inference(canonicalize,[],[normalize_0_18]) ).

cnf(refute_0_22,plain,
    ( ~ member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)))
    | member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)) ),
    inference(subst,[],[refute_0_21:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2))),bind(D,$fot(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B)))]]) ).

cnf(refute_0_23,plain,
    member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)),
    inference(resolve,[$cnf( member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2))) )],[refute_0_20,refute_0_22]) ).

cnf(refute_0_24,plain,
    member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),skolemFOFtoCNF_C),
    inference(resolve,[$cnf( member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)) )],[refute_0_23,refute_0_3]) ).

cnf(refute_0_25,plain,
    ( ~ member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2)))
    | member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),skolemFOFtoCNF_B) ),
    inference(subst,[],[refute_0_2:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2))),bind(D,$fot(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B)))]]) ).

cnf(refute_0_26,plain,
    member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),skolemFOFtoCNF_B),
    inference(resolve,[$cnf( member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2))) )],[refute_0_20,refute_0_25]) ).

cnf(refute_0_27,plain,
    ( ~ member(D,B)
    | ~ member(D,C)
    | member(D,intersection(B,C)) ),
    inference(canonicalize,[],[normalize_0_19]) ).

cnf(refute_0_28,plain,
    ( ~ member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),X_33)
    | ~ member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),skolemFOFtoCNF_B)
    | member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_B,X_33)) ),
    inference(subst,[],[refute_0_27:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(X_33)),bind(D,$fot(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B)))]]) ).

cnf(refute_0_29,plain,
    ( ~ member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),X_33)
    | member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_B,X_33)) ),
    inference(resolve,[$cnf( member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),skolemFOFtoCNF_B) )],[refute_0_26,refute_0_28]) ).

cnf(refute_0_30,plain,
    ( ~ member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),skolemFOFtoCNF_C)
    | member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),
    inference(subst,[],[refute_0_29:[bind(X_33,$fot(skolemFOFtoCNF_C))]]) ).

cnf(refute_0_31,plain,
    member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),
    inference(resolve,[$cnf( member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),skolemFOFtoCNF_C) )],[refute_0_24,refute_0_30]) ).

cnf(refute_0_32,plain,
    intersect(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
    inference(resolve,[$cnf( member(skolemFOFtoCNF_D(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_D_2),skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_31,refute_0_1]) ).

cnf(refute_0_33,plain,
    ~ intersect(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
    inference(canonicalize,[],[normalize_0_20]) ).

cnf(refute_0_34,plain,
    $false,
    inference(resolve,[$cnf( intersect(skolemFOFtoCNF_B,skolemFOFtoCNF_C) )],[refute_0_32,refute_0_33]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SET626+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n013.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 08:47:29 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 173.41/173.59  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 173.41/173.59  
% 173.41/173.59  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 173.41/173.59  
%------------------------------------------------------------------------------