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Metis---2.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : KRS113+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n017.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 03:18:45 EDT 2022

% Result   : Unsatisfiable 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   73 (  15 unt;   0 def)
%            Number of atoms       :  210 (  13 equ)
%            Maximal formula atoms :   35 (   2 avg)
%            Number of connectives :  252 ( 115   ~;  94   |;  25   &)
%                                         (  15 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-1 aty)
%            Number of variables   :   91 (   1 sgn  60   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
    <=> ( ! [Y1,Y2] :
            ( ( rr(X,Y1)
              & rr(X,Y2) )
           => Y1 = Y2 )
        & ? [Y] :
            ( rr(X,Y)
            & ca_Vx2(Y) )
        & ? [Y] :
            ( rs(X,Y)
            & cp(Y) )
        & cpxcomp(X) ) ) ).

fof(axiom_3,axiom,
    ! [X] :
      ( cp(X)
    <=> ~ ? [Y] : ra_Px1(X,Y) ) ).

fof(axiom_4,axiom,
    ! [X] :
      ( cpxcomp(X)
    <=> ? [Y1] : ra_Px1(X,Y1) ) ).

fof(axiom_5,axiom,
    ! [X] :
      ( ca_Vx2(X)
    <=> ! [Y] :
          ( rinvS(X,Y)
         => cp(Y) ) ) ).

fof(axiom_6,axiom,
    ! [X,Y] :
      ( rinvS(X,Y)
    <=> rs(Y,X) ) ).

fof(axiom_7,axiom,
    cUnsatisfiable(i2003_11_14_17_21_22376) ).

fof(axiom_8,axiom,
    ! [X,Y] :
      ( rs(X,Y)
     => rr(X,Y) ) ).

fof(normalize_0_0,plain,
    cUnsatisfiable(i2003_11_14_17_21_22376),
    inference(canonicalize,[],[axiom_7]) ).

fof(normalize_0_1,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
    <=> ( ~ cpxcomp(X)
        | ? [Y1,Y2] :
            ( Y1 != Y2
            & rr(X,Y1)
            & rr(X,Y2) )
        | ! [Y] :
            ( ~ ca_Vx2(Y)
            | ~ rr(X,Y) )
        | ! [Y] :
            ( ~ cp(Y)
            | ~ rs(X,Y) ) ) ),
    inference(canonicalize,[],[axiom_2]) ).

fof(normalize_0_2,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
    <=> ( ~ cpxcomp(X)
        | ? [Y1,Y2] :
            ( Y1 != Y2
            & rr(X,Y1)
            & rr(X,Y2) )
        | ! [Y] :
            ( ~ ca_Vx2(Y)
            | ~ rr(X,Y) )
        | ! [Y] :
            ( ~ cp(Y)
            | ~ rs(X,Y) ) ) ),
    inference(specialize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X,Y,Y0,Y1,Y2] :
      ( ( ~ cUnsatisfiable(X)
        | ca_Vx2(skolemFOFtoCNF_Y_1(X)) )
      & ( ~ cUnsatisfiable(X)
        | cp(skolemFOFtoCNF_Y(X)) )
      & ( ~ cUnsatisfiable(X)
        | cpxcomp(X) )
      & ( ~ cUnsatisfiable(X)
        | rr(X,skolemFOFtoCNF_Y_1(X)) )
      & ( ~ cUnsatisfiable(X)
        | rs(X,skolemFOFtoCNF_Y(X)) )
      & ( ~ cUnsatisfiable(X)
        | ~ rr(X,Y1)
        | ~ rr(X,Y2)
        | Y1 = Y2 )
      & ( skolemFOFtoCNF_Y0(X) != skolemFOFtoCNF_Y1(X)
        | ~ ca_Vx2(Y)
        | ~ cp(Y0)
        | ~ cpxcomp(X)
        | ~ rr(X,Y)
        | ~ rs(X,Y0)
        | cUnsatisfiable(X) )
      & ( ~ ca_Vx2(Y)
        | ~ cp(Y0)
        | ~ cpxcomp(X)
        | ~ rr(X,Y)
        | ~ rs(X,Y0)
        | cUnsatisfiable(X)
        | rr(X,skolemFOFtoCNF_Y0(X)) )
      & ( ~ ca_Vx2(Y)
        | ~ cp(Y0)
        | ~ cpxcomp(X)
        | ~ rr(X,Y)
        | ~ rs(X,Y0)
        | cUnsatisfiable(X)
        | rr(X,skolemFOFtoCNF_Y1(X)) ) ),
    inference(clausify,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | ca_Vx2(skolemFOFtoCNF_Y_1(X)) ),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | rs(X,skolemFOFtoCNF_Y(X)) ),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_6,plain,
    ! [X,Y] :
      ( ~ rs(X,Y)
      | rr(X,Y) ),
    inference(canonicalize,[],[axiom_8]) ).

fof(normalize_0_7,plain,
    ! [X,Y] :
      ( ~ rs(X,Y)
      | rr(X,Y) ),
    inference(specialize,[],[normalize_0_6]) ).

fof(normalize_0_8,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | rr(X,skolemFOFtoCNF_Y_1(X)) ),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_9,plain,
    ! [X,Y1,Y2] :
      ( ~ cUnsatisfiable(X)
      | ~ rr(X,Y1)
      | ~ rr(X,Y2)
      | Y1 = Y2 ),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_10,plain,
    ! [X,Y] :
      ( ~ rinvS(X,Y)
    <=> ~ rs(Y,X) ),
    inference(canonicalize,[],[axiom_6]) ).

fof(normalize_0_11,plain,
    ! [X,Y] :
      ( ~ rinvS(X,Y)
    <=> ~ rs(Y,X) ),
    inference(specialize,[],[normalize_0_10]) ).

fof(normalize_0_12,plain,
    ! [X,Y] :
      ( ( ~ rinvS(X,Y)
        | rs(Y,X) )
      & ( ~ rs(Y,X)
        | rinvS(X,Y) ) ),
    inference(clausify,[],[normalize_0_11]) ).

fof(normalize_0_13,plain,
    ! [X,Y] :
      ( ~ rs(Y,X)
      | rinvS(X,Y) ),
    inference(conjunct,[],[normalize_0_12]) ).

fof(normalize_0_14,plain,
    ! [X] :
      ( ~ ca_Vx2(X)
    <=> ? [Y] :
          ( ~ cp(Y)
          & rinvS(X,Y) ) ),
    inference(canonicalize,[],[axiom_5]) ).

fof(normalize_0_15,plain,
    ! [X] :
      ( ~ ca_Vx2(X)
    <=> ? [Y] :
          ( ~ cp(Y)
          & rinvS(X,Y) ) ),
    inference(specialize,[],[normalize_0_14]) ).

fof(normalize_0_16,plain,
    ! [X,Y] :
      ( ( ~ cp(skolemFOFtoCNF_Y_3(X))
        | ca_Vx2(X) )
      & ( ca_Vx2(X)
        | rinvS(X,skolemFOFtoCNF_Y_3(X)) )
      & ( ~ ca_Vx2(X)
        | ~ rinvS(X,Y)
        | cp(Y) ) ),
    inference(clausify,[],[normalize_0_15]) ).

fof(normalize_0_17,plain,
    ! [X,Y] :
      ( ~ ca_Vx2(X)
      | ~ rinvS(X,Y)
      | cp(Y) ),
    inference(conjunct,[],[normalize_0_16]) ).

fof(normalize_0_18,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | cpxcomp(X) ),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_19,plain,
    ! [X] :
      ( ~ cpxcomp(X)
    <=> ! [Y1] : ~ ra_Px1(X,Y1) ),
    inference(canonicalize,[],[axiom_4]) ).

fof(normalize_0_20,plain,
    ! [X] :
      ( ~ cpxcomp(X)
    <=> ! [Y1] : ~ ra_Px1(X,Y1) ),
    inference(specialize,[],[normalize_0_19]) ).

fof(normalize_0_21,plain,
    ! [X,Y1] :
      ( ( ~ cpxcomp(X)
        | ra_Px1(X,skolemFOFtoCNF_Y0_1(X)) )
      & ( ~ ra_Px1(X,Y1)
        | cpxcomp(X) ) ),
    inference(clausify,[],[normalize_0_20]) ).

fof(normalize_0_22,plain,
    ! [X] :
      ( ~ cpxcomp(X)
      | ra_Px1(X,skolemFOFtoCNF_Y0_1(X)) ),
    inference(conjunct,[],[normalize_0_21]) ).

fof(normalize_0_23,plain,
    ! [X] :
      ( ~ cp(X)
    <=> ? [Y] : ra_Px1(X,Y) ),
    inference(canonicalize,[],[axiom_3]) ).

fof(normalize_0_24,plain,
    ! [X] :
      ( ~ cp(X)
    <=> ? [Y] : ra_Px1(X,Y) ),
    inference(specialize,[],[normalize_0_23]) ).

fof(normalize_0_25,plain,
    ! [X,Y] :
      ( ( ~ cp(X)
        | ~ ra_Px1(X,Y) )
      & ( cp(X)
        | ra_Px1(X,skolemFOFtoCNF_Y_2(X)) ) ),
    inference(clausify,[],[normalize_0_24]) ).

fof(normalize_0_26,plain,
    ! [X,Y] :
      ( ~ cp(X)
      | ~ ra_Px1(X,Y) ),
    inference(conjunct,[],[normalize_0_25]) ).

cnf(refute_0_0,plain,
    cUnsatisfiable(i2003_11_14_17_21_22376),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    ( ~ cUnsatisfiable(X)
    | ca_Vx2(skolemFOFtoCNF_Y_1(X)) ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_22376)
    | ca_Vx2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_22376)) ),
    inference(subst,[],[refute_0_1:[bind(X,$fot(i2003_11_14_17_21_22376))]]) ).

cnf(refute_0_3,plain,
    ca_Vx2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_22376)),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_22376) )],[refute_0_0,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ cUnsatisfiable(X)
    | rs(X,skolemFOFtoCNF_Y(X)) ),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_5,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_22376)
    | rs(i2003_11_14_17_21_22376,skolemFOFtoCNF_Y(i2003_11_14_17_21_22376)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(i2003_11_14_17_21_22376))]]) ).

cnf(refute_0_6,plain,
    rs(i2003_11_14_17_21_22376,skolemFOFtoCNF_Y(i2003_11_14_17_21_22376)),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_22376) )],[refute_0_0,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ rs(X,Y)
    | rr(X,Y) ),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_8,plain,
    ( ~ rs(i2003_11_14_17_21_22376,skolemFOFtoCNF_Y(i2003_11_14_17_21_22376))
    | rr(i2003_11_14_17_21_22376,skolemFOFtoCNF_Y(i2003_11_14_17_21_22376)) ),
    inference(subst,[],[refute_0_7:[bind(X,$fot(i2003_11_14_17_21_22376)),bind(Y,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_22376)))]]) ).

cnf(refute_0_9,plain,
    rr(i2003_11_14_17_21_22376,skolemFOFtoCNF_Y(i2003_11_14_17_21_22376)),
    inference(resolve,[$cnf( rs(i2003_11_14_17_21_22376,skolemFOFtoCNF_Y(i2003_11_14_17_21_22376)) )],[refute_0_6,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ cUnsatisfiable(X)
    | rr(X,skolemFOFtoCNF_Y_1(X)) ),
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_11,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_22376)
    | rr(i2003_11_14_17_21_22376,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_22376)) ),
    inference(subst,[],[refute_0_10:[bind(X,$fot(i2003_11_14_17_21_22376))]]) ).

cnf(refute_0_12,plain,
    rr(i2003_11_14_17_21_22376,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_22376)),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_22376) )],[refute_0_0,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( ~ cUnsatisfiable(X)
    | ~ rr(X,Y1)
    | ~ rr(X,Y2)
    | Y1 = Y2 ),
    inference(canonicalize,[],[normalize_0_9]) ).

cnf(refute_0_14,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_22376)
    | ~ rr(i2003_11_14_17_21_22376,X_31)
    | ~ rr(i2003_11_14_17_21_22376,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_22376))
    | skolemFOFtoCNF_Y_1(i2003_11_14_17_21_22376) = X_31 ),
    inference(subst,[],[refute_0_13:[bind(X,$fot(i2003_11_14_17_21_22376)),bind(Y1,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_22376))),bind(Y2,$fot(X_31))]]) ).

cnf(refute_0_15,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_22376)
    | ~ rr(i2003_11_14_17_21_22376,X_31)
    | skolemFOFtoCNF_Y_1(i2003_11_14_17_21_22376) = X_31 ),
    inference(resolve,[$cnf( rr(i2003_11_14_17_21_22376,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_22376)) )],[refute_0_12,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( ~ rr(i2003_11_14_17_21_22376,X_31)
    | skolemFOFtoCNF_Y_1(i2003_11_14_17_21_22376) = X_31 ),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_22376) )],[refute_0_0,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( ~ rr(i2003_11_14_17_21_22376,skolemFOFtoCNF_Y(i2003_11_14_17_21_22376))
    | skolemFOFtoCNF_Y_1(i2003_11_14_17_21_22376) = skolemFOFtoCNF_Y(i2003_11_14_17_21_22376) ),
    inference(subst,[],[refute_0_16:[bind(X_31,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_22376)))]]) ).

cnf(refute_0_18,plain,
    skolemFOFtoCNF_Y_1(i2003_11_14_17_21_22376) = skolemFOFtoCNF_Y(i2003_11_14_17_21_22376),
    inference(resolve,[$cnf( rr(i2003_11_14_17_21_22376,skolemFOFtoCNF_Y(i2003_11_14_17_21_22376)) )],[refute_0_9,refute_0_17]) ).

cnf(refute_0_19,plain,
    ( skolemFOFtoCNF_Y_1(i2003_11_14_17_21_22376) != skolemFOFtoCNF_Y(i2003_11_14_17_21_22376)
    | ~ ca_Vx2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_22376))
    | ca_Vx2(skolemFOFtoCNF_Y(i2003_11_14_17_21_22376)) ),
    introduced(tautology,[equality,[$cnf( ca_Vx2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_22376)) ),[0],$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_22376))]]) ).

cnf(refute_0_20,plain,
    ( ~ ca_Vx2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_22376))
    | ca_Vx2(skolemFOFtoCNF_Y(i2003_11_14_17_21_22376)) ),
    inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_22376),skolemFOFtoCNF_Y(i2003_11_14_17_21_22376)) )],[refute_0_18,refute_0_19]) ).

cnf(refute_0_21,plain,
    ca_Vx2(skolemFOFtoCNF_Y(i2003_11_14_17_21_22376)),
    inference(resolve,[$cnf( ca_Vx2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_22376)) )],[refute_0_3,refute_0_20]) ).

cnf(refute_0_22,plain,
    ( ~ rs(Y,X)
    | rinvS(X,Y) ),
    inference(canonicalize,[],[normalize_0_13]) ).

cnf(refute_0_23,plain,
    ( ~ rs(i2003_11_14_17_21_22376,skolemFOFtoCNF_Y(i2003_11_14_17_21_22376))
    | rinvS(skolemFOFtoCNF_Y(i2003_11_14_17_21_22376),i2003_11_14_17_21_22376) ),
    inference(subst,[],[refute_0_22:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_22376))),bind(Y,$fot(i2003_11_14_17_21_22376))]]) ).

cnf(refute_0_24,plain,
    rinvS(skolemFOFtoCNF_Y(i2003_11_14_17_21_22376),i2003_11_14_17_21_22376),
    inference(resolve,[$cnf( rs(i2003_11_14_17_21_22376,skolemFOFtoCNF_Y(i2003_11_14_17_21_22376)) )],[refute_0_6,refute_0_23]) ).

cnf(refute_0_25,plain,
    ( ~ ca_Vx2(X)
    | ~ rinvS(X,Y)
    | cp(Y) ),
    inference(canonicalize,[],[normalize_0_17]) ).

cnf(refute_0_26,plain,
    ( ~ ca_Vx2(skolemFOFtoCNF_Y(i2003_11_14_17_21_22376))
    | ~ rinvS(skolemFOFtoCNF_Y(i2003_11_14_17_21_22376),i2003_11_14_17_21_22376)
    | cp(i2003_11_14_17_21_22376) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_22376))),bind(Y,$fot(i2003_11_14_17_21_22376))]]) ).

cnf(refute_0_27,plain,
    ( ~ ca_Vx2(skolemFOFtoCNF_Y(i2003_11_14_17_21_22376))
    | cp(i2003_11_14_17_21_22376) ),
    inference(resolve,[$cnf( rinvS(skolemFOFtoCNF_Y(i2003_11_14_17_21_22376),i2003_11_14_17_21_22376) )],[refute_0_24,refute_0_26]) ).

cnf(refute_0_28,plain,
    ( ~ cUnsatisfiable(X)
    | cpxcomp(X) ),
    inference(canonicalize,[],[normalize_0_18]) ).

cnf(refute_0_29,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_22376)
    | cpxcomp(i2003_11_14_17_21_22376) ),
    inference(subst,[],[refute_0_28:[bind(X,$fot(i2003_11_14_17_21_22376))]]) ).

cnf(refute_0_30,plain,
    cpxcomp(i2003_11_14_17_21_22376),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_22376) )],[refute_0_0,refute_0_29]) ).

cnf(refute_0_31,plain,
    ( ~ cpxcomp(X)
    | ra_Px1(X,skolemFOFtoCNF_Y0_1(X)) ),
    inference(canonicalize,[],[normalize_0_22]) ).

cnf(refute_0_32,plain,
    ( ~ cpxcomp(i2003_11_14_17_21_22376)
    | ra_Px1(i2003_11_14_17_21_22376,skolemFOFtoCNF_Y0_1(i2003_11_14_17_21_22376)) ),
    inference(subst,[],[refute_0_31:[bind(X,$fot(i2003_11_14_17_21_22376))]]) ).

cnf(refute_0_33,plain,
    ra_Px1(i2003_11_14_17_21_22376,skolemFOFtoCNF_Y0_1(i2003_11_14_17_21_22376)),
    inference(resolve,[$cnf( cpxcomp(i2003_11_14_17_21_22376) )],[refute_0_30,refute_0_32]) ).

cnf(refute_0_34,plain,
    ( ~ cp(X)
    | ~ ra_Px1(X,Y) ),
    inference(canonicalize,[],[normalize_0_26]) ).

cnf(refute_0_35,plain,
    ( ~ cp(i2003_11_14_17_21_22376)
    | ~ ra_Px1(i2003_11_14_17_21_22376,skolemFOFtoCNF_Y0_1(i2003_11_14_17_21_22376)) ),
    inference(subst,[],[refute_0_34:[bind(X,$fot(i2003_11_14_17_21_22376)),bind(Y,$fot(skolemFOFtoCNF_Y0_1(i2003_11_14_17_21_22376)))]]) ).

cnf(refute_0_36,plain,
    ~ cp(i2003_11_14_17_21_22376),
    inference(resolve,[$cnf( ra_Px1(i2003_11_14_17_21_22376,skolemFOFtoCNF_Y0_1(i2003_11_14_17_21_22376)) )],[refute_0_33,refute_0_35]) ).

cnf(refute_0_37,plain,
    ~ ca_Vx2(skolemFOFtoCNF_Y(i2003_11_14_17_21_22376)),
    inference(resolve,[$cnf( cp(i2003_11_14_17_21_22376) )],[refute_0_27,refute_0_36]) ).

cnf(refute_0_38,plain,
    $false,
    inference(resolve,[$cnf( ca_Vx2(skolemFOFtoCNF_Y(i2003_11_14_17_21_22376)) )],[refute_0_21,refute_0_37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KRS113+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jun  7 10:17:17 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.36  
%------------------------------------------------------------------------------