TSTP Solution File: KRS122+1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : KRS122+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n021.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 03:18:48 EDT 2022

% Result   : Unsatisfiable 0.19s 0.35s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   81 (  17 unt;   0 def)
%            Number of atoms       :  192 (  18 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  213 ( 102   ~;  75   |;  16   &)
%                                         (  18 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :   91 (   1 sgn  61   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
    <=> ? [Y] :
          ( rf(X,Y)
          & ca_Ax2(Y) ) ) ).

fof(axiom_3,axiom,
    ! [X] :
      ( cp1(X)
    <=> ~ ? [Y] : ra_Px1(X,Y) ) ).

fof(axiom_4,axiom,
    ! [X] :
      ( cp1xcomp(X)
    <=> ? [Y0] : ra_Px1(X,Y0) ) ).

fof(axiom_5,axiom,
    ! [X] :
      ( ca_Ax2(X)
    <=> ( cp1(X)
        & ! [Y] :
            ( rinvF(X,Y)
           => ca_Vx3(Y) ) ) ) ).

fof(axiom_6,axiom,
    ! [X] :
      ( ca_Vx3(X)
    <=> ? [Y] :
          ( rf(X,Y)
          & cp1xcomp(Y) ) ) ).

fof(axiom_7,axiom,
    ! [X,Y,Z] :
      ( ( rf(X,Y)
        & rf(X,Z) )
     => Y = Z ) ).

fof(axiom_8,axiom,
    ! [X,Y] :
      ( rinvF(X,Y)
    <=> rf(Y,X) ) ).

fof(axiom_11,axiom,
    cUnsatisfiable(i2003_11_14_17_21_55116) ).

fof(normalize_0_0,plain,
    ! [X] :
      ( ~ cp1(X)
    <=> ? [Y] : ra_Px1(X,Y) ),
    inference(canonicalize,[],[axiom_3]) ).

fof(normalize_0_1,plain,
    ! [X] :
      ( ~ cp1(X)
    <=> ? [Y] : ra_Px1(X,Y) ),
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [X,Y] :
      ( ( ~ cp1(X)
        | ~ ra_Px1(X,Y) )
      & ( cp1(X)
        | ra_Px1(X,skolemFOFtoCNF_Y_1(X)) ) ),
    inference(clausify,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X,Y] :
      ( ~ cp1(X)
      | ~ ra_Px1(X,Y) ),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [X] :
      ( ~ cp1xcomp(X)
    <=> ! [Y0] : ~ ra_Px1(X,Y0) ),
    inference(canonicalize,[],[axiom_4]) ).

fof(normalize_0_5,plain,
    ! [X] :
      ( ~ cp1xcomp(X)
    <=> ! [Y0] : ~ ra_Px1(X,Y0) ),
    inference(specialize,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ! [X,Y0] :
      ( ( ~ cp1xcomp(X)
        | ra_Px1(X,skolemFOFtoCNF_Y0(X)) )
      & ( ~ ra_Px1(X,Y0)
        | cp1xcomp(X) ) ),
    inference(clausify,[],[normalize_0_5]) ).

fof(normalize_0_7,plain,
    ! [X] :
      ( ~ cp1xcomp(X)
      | ra_Px1(X,skolemFOFtoCNF_Y0(X)) ),
    inference(conjunct,[],[normalize_0_6]) ).

fof(normalize_0_8,plain,
    ! [X] :
      ( ~ ca_Vx3(X)
    <=> ! [Y] :
          ( ~ cp1xcomp(Y)
          | ~ rf(X,Y) ) ),
    inference(canonicalize,[],[axiom_6]) ).

fof(normalize_0_9,plain,
    ! [X] :
      ( ~ ca_Vx3(X)
    <=> ! [Y] :
          ( ~ cp1xcomp(Y)
          | ~ rf(X,Y) ) ),
    inference(specialize,[],[normalize_0_8]) ).

fof(normalize_0_10,plain,
    ! [X,Y] :
      ( ( ~ ca_Vx3(X)
        | cp1xcomp(skolemFOFtoCNF_Y_3(X)) )
      & ( ~ ca_Vx3(X)
        | rf(X,skolemFOFtoCNF_Y_3(X)) )
      & ( ~ cp1xcomp(Y)
        | ~ rf(X,Y)
        | ca_Vx3(X) ) ),
    inference(clausify,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    ! [X] :
      ( ~ ca_Vx3(X)
      | cp1xcomp(skolemFOFtoCNF_Y_3(X)) ),
    inference(conjunct,[],[normalize_0_10]) ).

fof(normalize_0_12,plain,
    cUnsatisfiable(i2003_11_14_17_21_55116),
    inference(canonicalize,[],[axiom_11]) ).

fof(normalize_0_13,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
    <=> ! [Y] :
          ( ~ ca_Ax2(Y)
          | ~ rf(X,Y) ) ),
    inference(canonicalize,[],[axiom_2]) ).

fof(normalize_0_14,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
    <=> ! [Y] :
          ( ~ ca_Ax2(Y)
          | ~ rf(X,Y) ) ),
    inference(specialize,[],[normalize_0_13]) ).

fof(normalize_0_15,plain,
    ! [X,Y] :
      ( ( ~ cUnsatisfiable(X)
        | ca_Ax2(skolemFOFtoCNF_Y(X)) )
      & ( ~ cUnsatisfiable(X)
        | rf(X,skolemFOFtoCNF_Y(X)) )
      & ( ~ ca_Ax2(Y)
        | ~ rf(X,Y)
        | cUnsatisfiable(X) ) ),
    inference(clausify,[],[normalize_0_14]) ).

fof(normalize_0_16,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | rf(X,skolemFOFtoCNF_Y(X)) ),
    inference(conjunct,[],[normalize_0_15]) ).

fof(normalize_0_17,plain,
    ! [X,Y] :
      ( ~ rf(Y,X)
    <=> ~ rinvF(X,Y) ),
    inference(canonicalize,[],[axiom_8]) ).

fof(normalize_0_18,plain,
    ! [X,Y] :
      ( ~ rf(Y,X)
    <=> ~ rinvF(X,Y) ),
    inference(specialize,[],[normalize_0_17]) ).

fof(normalize_0_19,plain,
    ! [X,Y] :
      ( ( ~ rf(Y,X)
        | rinvF(X,Y) )
      & ( ~ rinvF(X,Y)
        | rf(Y,X) ) ),
    inference(clausify,[],[normalize_0_18]) ).

fof(normalize_0_20,plain,
    ! [X,Y] :
      ( ~ rf(Y,X)
      | rinvF(X,Y) ),
    inference(conjunct,[],[normalize_0_19]) ).

fof(normalize_0_21,plain,
    ! [X] :
      ( ~ ca_Ax2(X)
    <=> ( ~ cp1(X)
        | ? [Y] :
            ( ~ ca_Vx3(Y)
            & rinvF(X,Y) ) ) ),
    inference(canonicalize,[],[axiom_5]) ).

fof(normalize_0_22,plain,
    ! [X] :
      ( ~ ca_Ax2(X)
    <=> ( ~ cp1(X)
        | ? [Y] :
            ( ~ ca_Vx3(Y)
            & rinvF(X,Y) ) ) ),
    inference(specialize,[],[normalize_0_21]) ).

fof(normalize_0_23,plain,
    ! [X,Y] :
      ( ( ~ ca_Ax2(X)
        | cp1(X) )
      & ( ~ ca_Ax2(X)
        | ~ rinvF(X,Y)
        | ca_Vx3(Y) )
      & ( ~ ca_Vx3(skolemFOFtoCNF_Y_2(X))
        | ~ cp1(X)
        | ca_Ax2(X) )
      & ( ~ cp1(X)
        | ca_Ax2(X)
        | rinvF(X,skolemFOFtoCNF_Y_2(X)) ) ),
    inference(clausify,[],[normalize_0_22]) ).

fof(normalize_0_24,plain,
    ! [X,Y] :
      ( ~ ca_Ax2(X)
      | ~ rinvF(X,Y)
      | ca_Vx3(Y) ),
    inference(conjunct,[],[normalize_0_23]) ).

fof(normalize_0_25,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | ca_Ax2(skolemFOFtoCNF_Y(X)) ),
    inference(conjunct,[],[normalize_0_15]) ).

fof(normalize_0_26,plain,
    ! [X] :
      ( ~ ca_Vx3(X)
      | rf(X,skolemFOFtoCNF_Y_3(X)) ),
    inference(conjunct,[],[normalize_0_10]) ).

fof(normalize_0_27,plain,
    ! [X,Y,Z] :
      ( ~ rf(X,Y)
      | ~ rf(X,Z)
      | Y = Z ),
    inference(canonicalize,[],[axiom_7]) ).

fof(normalize_0_28,plain,
    ! [X,Y,Z] :
      ( ~ rf(X,Y)
      | ~ rf(X,Z)
      | Y = Z ),
    inference(specialize,[],[normalize_0_27]) ).

fof(normalize_0_29,plain,
    ! [X] :
      ( ~ ca_Ax2(X)
      | cp1(X) ),
    inference(conjunct,[],[normalize_0_23]) ).

cnf(refute_0_0,plain,
    ( ~ cp1(X)
    | ~ ra_Px1(X,Y) ),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_1,plain,
    ( ~ cp1(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116))
    | ~ ra_Px1(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116))) ),
    inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116))),bind(Y,$fot(skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116))))]]) ).

cnf(refute_0_2,plain,
    ( ~ cp1xcomp(X)
    | ra_Px1(X,skolemFOFtoCNF_Y0(X)) ),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_3,plain,
    ( ~ cp1xcomp(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116))
    | ra_Px1(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116))) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116)))]]) ).

cnf(refute_0_4,plain,
    ( ~ ca_Vx3(X)
    | cp1xcomp(skolemFOFtoCNF_Y_3(X)) ),
    inference(canonicalize,[],[normalize_0_11]) ).

cnf(refute_0_5,plain,
    ( ~ ca_Vx3(i2003_11_14_17_21_55116)
    | cp1xcomp(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(i2003_11_14_17_21_55116))]]) ).

cnf(refute_0_6,plain,
    cUnsatisfiable(i2003_11_14_17_21_55116),
    inference(canonicalize,[],[normalize_0_12]) ).

cnf(refute_0_7,plain,
    ( ~ cUnsatisfiable(X)
    | rf(X,skolemFOFtoCNF_Y(X)) ),
    inference(canonicalize,[],[normalize_0_16]) ).

cnf(refute_0_8,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_55116)
    | rf(i2003_11_14_17_21_55116,skolemFOFtoCNF_Y(i2003_11_14_17_21_55116)) ),
    inference(subst,[],[refute_0_7:[bind(X,$fot(i2003_11_14_17_21_55116))]]) ).

cnf(refute_0_9,plain,
    rf(i2003_11_14_17_21_55116,skolemFOFtoCNF_Y(i2003_11_14_17_21_55116)),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_55116) )],[refute_0_6,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ rf(Y,X)
    | rinvF(X,Y) ),
    inference(canonicalize,[],[normalize_0_20]) ).

cnf(refute_0_11,plain,
    ( ~ rf(i2003_11_14_17_21_55116,skolemFOFtoCNF_Y(i2003_11_14_17_21_55116))
    | rinvF(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116),i2003_11_14_17_21_55116) ),
    inference(subst,[],[refute_0_10:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116))),bind(Y,$fot(i2003_11_14_17_21_55116))]]) ).

cnf(refute_0_12,plain,
    rinvF(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116),i2003_11_14_17_21_55116),
    inference(resolve,[$cnf( rf(i2003_11_14_17_21_55116,skolemFOFtoCNF_Y(i2003_11_14_17_21_55116)) )],[refute_0_9,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( ~ ca_Ax2(X)
    | ~ rinvF(X,Y)
    | ca_Vx3(Y) ),
    inference(canonicalize,[],[normalize_0_24]) ).

cnf(refute_0_14,plain,
    ( ~ ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116))
    | ~ rinvF(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116),i2003_11_14_17_21_55116)
    | ca_Vx3(i2003_11_14_17_21_55116) ),
    inference(subst,[],[refute_0_13:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116))),bind(Y,$fot(i2003_11_14_17_21_55116))]]) ).

cnf(refute_0_15,plain,
    ( ~ ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116))
    | ca_Vx3(i2003_11_14_17_21_55116) ),
    inference(resolve,[$cnf( rinvF(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116),i2003_11_14_17_21_55116) )],[refute_0_12,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( ~ cUnsatisfiable(X)
    | ca_Ax2(skolemFOFtoCNF_Y(X)) ),
    inference(canonicalize,[],[normalize_0_25]) ).

cnf(refute_0_17,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_55116)
    | ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116)) ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(i2003_11_14_17_21_55116))]]) ).

cnf(refute_0_18,plain,
    ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116)),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_55116) )],[refute_0_6,refute_0_17]) ).

cnf(refute_0_19,plain,
    ca_Vx3(i2003_11_14_17_21_55116),
    inference(resolve,[$cnf( ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116)) )],[refute_0_18,refute_0_15]) ).

cnf(refute_0_20,plain,
    cp1xcomp(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116)),
    inference(resolve,[$cnf( ca_Vx3(i2003_11_14_17_21_55116) )],[refute_0_19,refute_0_5]) ).

cnf(refute_0_21,plain,
    ra_Px1(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116))),
    inference(resolve,[$cnf( cp1xcomp(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116)) )],[refute_0_20,refute_0_3]) ).

cnf(refute_0_22,plain,
    ~ cp1(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116)),
    inference(resolve,[$cnf( ra_Px1(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116))) )],[refute_0_21,refute_0_1]) ).

cnf(refute_0_23,plain,
    ( ~ ca_Vx3(X)
    | rf(X,skolemFOFtoCNF_Y_3(X)) ),
    inference(canonicalize,[],[normalize_0_26]) ).

cnf(refute_0_24,plain,
    ( ~ ca_Vx3(i2003_11_14_17_21_55116)
    | rf(i2003_11_14_17_21_55116,skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116)) ),
    inference(subst,[],[refute_0_23:[bind(X,$fot(i2003_11_14_17_21_55116))]]) ).

cnf(refute_0_25,plain,
    rf(i2003_11_14_17_21_55116,skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116)),
    inference(resolve,[$cnf( ca_Vx3(i2003_11_14_17_21_55116) )],[refute_0_19,refute_0_24]) ).

cnf(refute_0_26,plain,
    ( ~ rf(X,Y)
    | ~ rf(X,Z)
    | Y = Z ),
    inference(canonicalize,[],[normalize_0_28]) ).

cnf(refute_0_27,plain,
    ( ~ rf(i2003_11_14_17_21_55116,X_35)
    | ~ rf(i2003_11_14_17_21_55116,skolemFOFtoCNF_Y(i2003_11_14_17_21_55116))
    | skolemFOFtoCNF_Y(i2003_11_14_17_21_55116) = X_35 ),
    inference(subst,[],[refute_0_26:[bind(X,$fot(i2003_11_14_17_21_55116)),bind(Y,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116))),bind(Z,$fot(X_35))]]) ).

cnf(refute_0_28,plain,
    ( ~ rf(i2003_11_14_17_21_55116,X_35)
    | skolemFOFtoCNF_Y(i2003_11_14_17_21_55116) = X_35 ),
    inference(resolve,[$cnf( rf(i2003_11_14_17_21_55116,skolemFOFtoCNF_Y(i2003_11_14_17_21_55116)) )],[refute_0_9,refute_0_27]) ).

cnf(refute_0_29,plain,
    ( ~ rf(i2003_11_14_17_21_55116,skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116))
    | skolemFOFtoCNF_Y(i2003_11_14_17_21_55116) = skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116) ),
    inference(subst,[],[refute_0_28:[bind(X_35,$fot(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116)))]]) ).

cnf(refute_0_30,plain,
    skolemFOFtoCNF_Y(i2003_11_14_17_21_55116) = skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116),
    inference(resolve,[$cnf( rf(i2003_11_14_17_21_55116,skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116)) )],[refute_0_25,refute_0_29]) ).

cnf(refute_0_31,plain,
    X0 = X0,
    introduced(tautology,[refl,[$fot(X0)]]) ).

cnf(refute_0_32,plain,
    ( X0 != X0
    | X0 != Y1
    | Y1 = X0 ),
    introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y1)]]) ).

cnf(refute_0_33,plain,
    ( X0 != Y1
    | Y1 = X0 ),
    inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_31,refute_0_32]) ).

cnf(refute_0_34,plain,
    ( skolemFOFtoCNF_Y(i2003_11_14_17_21_55116) != skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116)
    | skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116) = skolemFOFtoCNF_Y(i2003_11_14_17_21_55116) ),
    inference(subst,[],[refute_0_33:[bind(X0,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116))),bind(Y1,$fot(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116)))]]) ).

cnf(refute_0_35,plain,
    skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116) = skolemFOFtoCNF_Y(i2003_11_14_17_21_55116),
    inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116),skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116)) )],[refute_0_30,refute_0_34]) ).

cnf(refute_0_36,plain,
    ( skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116) != skolemFOFtoCNF_Y(i2003_11_14_17_21_55116)
    | ~ cp1(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116))
    | cp1(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116)) ),
    introduced(tautology,[equality,[$cnf( ~ cp1(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116)) ),[0],$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116))]]) ).

cnf(refute_0_37,plain,
    ( ~ cp1(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116))
    | cp1(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116)) ),
    inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116),skolemFOFtoCNF_Y(i2003_11_14_17_21_55116)) )],[refute_0_35,refute_0_36]) ).

cnf(refute_0_38,plain,
    ~ cp1(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116)),
    inference(resolve,[$cnf( cp1(skolemFOFtoCNF_Y_3(i2003_11_14_17_21_55116)) )],[refute_0_37,refute_0_22]) ).

cnf(refute_0_39,plain,
    ( ~ ca_Ax2(X)
    | cp1(X) ),
    inference(canonicalize,[],[normalize_0_29]) ).

cnf(refute_0_40,plain,
    ( ~ ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116))
    | cp1(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116)) ),
    inference(subst,[],[refute_0_39:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116)))]]) ).

cnf(refute_0_41,plain,
    cp1(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116)),
    inference(resolve,[$cnf( ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116)) )],[refute_0_18,refute_0_40]) ).

cnf(refute_0_42,plain,
    $false,
    inference(resolve,[$cnf( cp1(skolemFOFtoCNF_Y(i2003_11_14_17_21_55116)) )],[refute_0_41,refute_0_38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS122+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n021.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 10:46:06 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.35  
% 0.19/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.36  
%------------------------------------------------------------------------------