TSTP Solution File: KRS079+1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : KRS079+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n022.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 03:18:37 EDT 2022

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   79 (  20 unt;   0 def)
%            Number of atoms       :  189 (  29 equ)
%            Maximal formula atoms :   19 (   2 avg)
%            Number of connectives :  207 (  97   ~;  85   |;  15   &)
%                                         (   3 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   90 (   0 sgn  62   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
    ! [X] :
      ( cowlThing(X)
      & ~ cowlNothing(X) ) ).

fof(axiom_2,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
    <=> ( ? [Y] :
            ( rf2(X,Y)
            & cp2(Y) )
        & ? [Y] :
            ( rf1(X,Y)
            & cp1(Y) )
        & ? [Y] :
            ( rr(X,Y)
            & cowlThing(Y) ) ) ) ).

fof(axiom_3,axiom,
    ! [X] :
      ( cp1(X)
     => ~ cp2(X) ) ).

fof(axiom_4,axiom,
    ! [X] :
      ( cowlThing(X)
     => ! [Y2,Y3] :
          ( ( rf1(X,Y2)
            & rf1(X,Y3) )
         => Y2 = Y3 ) ) ).

fof(axiom_5,axiom,
    ! [X] :
      ( cowlThing(X)
     => ! [Y2,Y3] :
          ( ( rf2(X,Y2)
            & rf2(X,Y3) )
         => Y2 = Y3 ) ) ).

fof(axiom_6,axiom,
    cUnsatisfiable(i2003_11_14_17_19_17492) ).

fof(axiom_7,axiom,
    ! [X,Y] :
      ( rr(X,Y)
     => rf1(X,Y) ) ).

fof(axiom_8,axiom,
    ! [X,Y] :
      ( rr(X,Y)
     => rf2(X,Y) ) ).

fof(normalize_0_0,plain,
    cUnsatisfiable(i2003_11_14_17_19_17492),
    inference(canonicalize,[],[axiom_6]) ).

fof(normalize_0_1,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
    <=> ( ! [Y] :
            ( ~ cowlThing(Y)
            | ~ rr(X,Y) )
        | ! [Y] :
            ( ~ cp1(Y)
            | ~ rf1(X,Y) )
        | ! [Y] :
            ( ~ cp2(Y)
            | ~ rf2(X,Y) ) ) ),
    inference(canonicalize,[],[axiom_2]) ).

fof(normalize_0_2,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
    <=> ( ! [Y] :
            ( ~ cowlThing(Y)
            | ~ rr(X,Y) )
        | ! [Y] :
            ( ~ cp1(Y)
            | ~ rf1(X,Y) )
        | ! [Y] :
            ( ~ cp2(Y)
            | ~ rf2(X,Y) ) ) ),
    inference(specialize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X,Y,Y0,Y1] :
      ( ( ~ cUnsatisfiable(X)
        | cowlThing(skolemFOFtoCNF_Y_2(X)) )
      & ( ~ cUnsatisfiable(X)
        | cp1(skolemFOFtoCNF_Y_1(X)) )
      & ( ~ cUnsatisfiable(X)
        | cp2(skolemFOFtoCNF_Y(X)) )
      & ( ~ cUnsatisfiable(X)
        | rf1(X,skolemFOFtoCNF_Y_1(X)) )
      & ( ~ cUnsatisfiable(X)
        | rf2(X,skolemFOFtoCNF_Y(X)) )
      & ( ~ cUnsatisfiable(X)
        | rr(X,skolemFOFtoCNF_Y_2(X)) )
      & ( ~ cowlThing(Y)
        | ~ cp1(Y0)
        | ~ cp2(Y1)
        | ~ rf1(X,Y0)
        | ~ rf2(X,Y1)
        | ~ rr(X,Y)
        | cUnsatisfiable(X) ) ),
    inference(clausify,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | cp1(skolemFOFtoCNF_Y_1(X)) ),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | rr(X,skolemFOFtoCNF_Y_2(X)) ),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_6,plain,
    ! [X,Y] :
      ( ~ rr(X,Y)
      | rf2(X,Y) ),
    inference(canonicalize,[],[axiom_8]) ).

fof(normalize_0_7,plain,
    ! [X,Y] :
      ( ~ rr(X,Y)
      | rf2(X,Y) ),
    inference(specialize,[],[normalize_0_6]) ).

fof(normalize_0_8,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | rf1(X,skolemFOFtoCNF_Y_1(X)) ),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_9,plain,
    ! [X,Y] :
      ( ~ rr(X,Y)
      | rf1(X,Y) ),
    inference(canonicalize,[],[axiom_7]) ).

fof(normalize_0_10,plain,
    ! [X,Y] :
      ( ~ rr(X,Y)
      | rf1(X,Y) ),
    inference(specialize,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    ! [X] :
      ( ~ cowlThing(X)
      | ! [Y2,Y3] :
          ( ~ rf1(X,Y2)
          | ~ rf1(X,Y3)
          | Y2 = Y3 ) ),
    inference(canonicalize,[],[axiom_4]) ).

fof(normalize_0_12,plain,
    ( ! [X] : ~ cowlNothing(X)
    & ! [X] : cowlThing(X) ),
    inference(canonicalize,[],[axiom_0]) ).

fof(normalize_0_13,plain,
    ! [X] : cowlThing(X),
    inference(conjunct,[],[normalize_0_12]) ).

fof(normalize_0_14,plain,
    ! [X] : cowlThing(X),
    inference(specialize,[],[normalize_0_13]) ).

fof(normalize_0_15,plain,
    ! [X,Y2,Y3] :
      ( ~ rf1(X,Y2)
      | ~ rf1(X,Y3)
      | Y2 = Y3 ),
    inference(simplify,[],[normalize_0_11,normalize_0_14]) ).

fof(normalize_0_16,plain,
    ! [X,Y2,Y3] :
      ( ~ rf1(X,Y2)
      | ~ rf1(X,Y3)
      | Y2 = Y3 ),
    inference(specialize,[],[normalize_0_15]) ).

fof(normalize_0_17,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | rf2(X,skolemFOFtoCNF_Y(X)) ),
    inference(conjunct,[],[normalize_0_3]) ).

fof(normalize_0_18,plain,
    ! [X] :
      ( ~ cowlThing(X)
      | ! [Y2,Y3] :
          ( ~ rf2(X,Y2)
          | ~ rf2(X,Y3)
          | Y2 = Y3 ) ),
    inference(canonicalize,[],[axiom_5]) ).

fof(normalize_0_19,plain,
    ! [X,Y2,Y3] :
      ( ~ rf2(X,Y2)
      | ~ rf2(X,Y3)
      | Y2 = Y3 ),
    inference(simplify,[],[normalize_0_18,normalize_0_14]) ).

fof(normalize_0_20,plain,
    ! [X,Y2,Y3] :
      ( ~ rf2(X,Y2)
      | ~ rf2(X,Y3)
      | Y2 = Y3 ),
    inference(specialize,[],[normalize_0_19]) ).

fof(normalize_0_21,plain,
    ! [X] :
      ( ~ cp1(X)
      | ~ cp2(X) ),
    inference(canonicalize,[],[axiom_3]) ).

fof(normalize_0_22,plain,
    ! [X] :
      ( ~ cp1(X)
      | ~ cp2(X) ),
    inference(specialize,[],[normalize_0_21]) ).

fof(normalize_0_23,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | cp2(skolemFOFtoCNF_Y(X)) ),
    inference(conjunct,[],[normalize_0_3]) ).

cnf(refute_0_0,plain,
    cUnsatisfiable(i2003_11_14_17_19_17492),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    ( ~ cUnsatisfiable(X)
    | cp1(skolemFOFtoCNF_Y_1(X)) ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_17492)
    | cp1(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492)) ),
    inference(subst,[],[refute_0_1:[bind(X,$fot(i2003_11_14_17_19_17492))]]) ).

cnf(refute_0_3,plain,
    cp1(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492)),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_17492) )],[refute_0_0,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ cUnsatisfiable(X)
    | rr(X,skolemFOFtoCNF_Y_2(X)) ),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_5,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_17492)
    | rr(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492)) ),
    inference(subst,[],[refute_0_4:[bind(X,$fot(i2003_11_14_17_19_17492))]]) ).

cnf(refute_0_6,plain,
    rr(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492)),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_17492) )],[refute_0_0,refute_0_5]) ).

cnf(refute_0_7,plain,
    ( ~ rr(X,Y)
    | rf2(X,Y) ),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_8,plain,
    ( ~ rr(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492))
    | rf2(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492)) ),
    inference(subst,[],[refute_0_7:[bind(X,$fot(i2003_11_14_17_19_17492)),bind(Y,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492)))]]) ).

cnf(refute_0_9,plain,
    rf2(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492)),
    inference(resolve,[$cnf( rr(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492)) )],[refute_0_6,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ cUnsatisfiable(X)
    | rf1(X,skolemFOFtoCNF_Y_1(X)) ),
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_11,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_17492)
    | rf1(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492)) ),
    inference(subst,[],[refute_0_10:[bind(X,$fot(i2003_11_14_17_19_17492))]]) ).

cnf(refute_0_12,plain,
    rf1(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492)),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_17492) )],[refute_0_0,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( ~ rr(X,Y)
    | rf1(X,Y) ),
    inference(canonicalize,[],[normalize_0_10]) ).

cnf(refute_0_14,plain,
    ( ~ rr(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492))
    | rf1(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492)) ),
    inference(subst,[],[refute_0_13:[bind(X,$fot(i2003_11_14_17_19_17492)),bind(Y,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492)))]]) ).

cnf(refute_0_15,plain,
    rf1(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492)),
    inference(resolve,[$cnf( rr(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492)) )],[refute_0_6,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( ~ rf1(X,Y2)
    | ~ rf1(X,Y3)
    | Y2 = Y3 ),
    inference(canonicalize,[],[normalize_0_16]) ).

cnf(refute_0_17,plain,
    ( ~ rf1(i2003_11_14_17_19_17492,X_16)
    | ~ rf1(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492))
    | skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492) = X_16 ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(i2003_11_14_17_19_17492)),bind(Y2,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492))),bind(Y3,$fot(X_16))]]) ).

cnf(refute_0_18,plain,
    ( ~ rf1(i2003_11_14_17_19_17492,X_16)
    | skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492) = X_16 ),
    inference(resolve,[$cnf( rf1(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492)) )],[refute_0_15,refute_0_17]) ).

cnf(refute_0_19,plain,
    ( ~ rf1(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492))
    | skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492) = skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492) ),
    inference(subst,[],[refute_0_18:[bind(X_16,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492)))]]) ).

cnf(refute_0_20,plain,
    skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492) = skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492),
    inference(resolve,[$cnf( rf1(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492)) )],[refute_0_12,refute_0_19]) ).

cnf(refute_0_21,plain,
    ( skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492) != skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492)
    | ~ rf2(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492))
    | rf2(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492)) ),
    introduced(tautology,[equality,[$cnf( rf2(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492)) ),[1],$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492))]]) ).

cnf(refute_0_22,plain,
    ( ~ rf2(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492))
    | rf2(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492)) ),
    inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492),skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492)) )],[refute_0_20,refute_0_21]) ).

cnf(refute_0_23,plain,
    rf2(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492)),
    inference(resolve,[$cnf( rf2(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_2(i2003_11_14_17_19_17492)) )],[refute_0_9,refute_0_22]) ).

cnf(refute_0_24,plain,
    ( ~ cUnsatisfiable(X)
    | rf2(X,skolemFOFtoCNF_Y(X)) ),
    inference(canonicalize,[],[normalize_0_17]) ).

cnf(refute_0_25,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_17492)
    | rf2(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y(i2003_11_14_17_19_17492)) ),
    inference(subst,[],[refute_0_24:[bind(X,$fot(i2003_11_14_17_19_17492))]]) ).

cnf(refute_0_26,plain,
    rf2(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y(i2003_11_14_17_19_17492)),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_17492) )],[refute_0_0,refute_0_25]) ).

cnf(refute_0_27,plain,
    ( ~ rf2(X,Y2)
    | ~ rf2(X,Y3)
    | Y2 = Y3 ),
    inference(canonicalize,[],[normalize_0_20]) ).

cnf(refute_0_28,plain,
    ( ~ rf2(i2003_11_14_17_19_17492,X_21)
    | ~ rf2(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y(i2003_11_14_17_19_17492))
    | skolemFOFtoCNF_Y(i2003_11_14_17_19_17492) = X_21 ),
    inference(subst,[],[refute_0_27:[bind(X,$fot(i2003_11_14_17_19_17492)),bind(Y2,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_17492))),bind(Y3,$fot(X_21))]]) ).

cnf(refute_0_29,plain,
    ( ~ rf2(i2003_11_14_17_19_17492,X_21)
    | skolemFOFtoCNF_Y(i2003_11_14_17_19_17492) = X_21 ),
    inference(resolve,[$cnf( rf2(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y(i2003_11_14_17_19_17492)) )],[refute_0_26,refute_0_28]) ).

cnf(refute_0_30,plain,
    ( ~ rf2(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492))
    | skolemFOFtoCNF_Y(i2003_11_14_17_19_17492) = skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492) ),
    inference(subst,[],[refute_0_29:[bind(X_21,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492)))]]) ).

cnf(refute_0_31,plain,
    skolemFOFtoCNF_Y(i2003_11_14_17_19_17492) = skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492),
    inference(resolve,[$cnf( rf2(i2003_11_14_17_19_17492,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492)) )],[refute_0_23,refute_0_30]) ).

cnf(refute_0_32,plain,
    X0 = X0,
    introduced(tautology,[refl,[$fot(X0)]]) ).

cnf(refute_0_33,plain,
    ( X0 != X0
    | X0 != Y4
    | Y4 = X0 ),
    introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y4)]]) ).

cnf(refute_0_34,plain,
    ( X0 != Y4
    | Y4 = X0 ),
    inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_32,refute_0_33]) ).

cnf(refute_0_35,plain,
    ( skolemFOFtoCNF_Y(i2003_11_14_17_19_17492) != skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492)
    | skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492) = skolemFOFtoCNF_Y(i2003_11_14_17_19_17492) ),
    inference(subst,[],[refute_0_34:[bind(X0,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_17492))),bind(Y4,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492)))]]) ).

cnf(refute_0_36,plain,
    skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492) = skolemFOFtoCNF_Y(i2003_11_14_17_19_17492),
    inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y(i2003_11_14_17_19_17492),skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492)) )],[refute_0_31,refute_0_35]) ).

cnf(refute_0_37,plain,
    ( skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492) != skolemFOFtoCNF_Y(i2003_11_14_17_19_17492)
    | ~ cp1(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492))
    | cp1(skolemFOFtoCNF_Y(i2003_11_14_17_19_17492)) ),
    introduced(tautology,[equality,[$cnf( cp1(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492)) ),[0],$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_17492))]]) ).

cnf(refute_0_38,plain,
    ( ~ cp1(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492))
    | cp1(skolemFOFtoCNF_Y(i2003_11_14_17_19_17492)) ),
    inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492),skolemFOFtoCNF_Y(i2003_11_14_17_19_17492)) )],[refute_0_36,refute_0_37]) ).

cnf(refute_0_39,plain,
    cp1(skolemFOFtoCNF_Y(i2003_11_14_17_19_17492)),
    inference(resolve,[$cnf( cp1(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_17492)) )],[refute_0_3,refute_0_38]) ).

cnf(refute_0_40,plain,
    ( ~ cp1(X)
    | ~ cp2(X) ),
    inference(canonicalize,[],[normalize_0_22]) ).

cnf(refute_0_41,plain,
    ( ~ cp1(skolemFOFtoCNF_Y(i2003_11_14_17_19_17492))
    | ~ cp2(skolemFOFtoCNF_Y(i2003_11_14_17_19_17492)) ),
    inference(subst,[],[refute_0_40:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_17492)))]]) ).

cnf(refute_0_42,plain,
    ( ~ cUnsatisfiable(X)
    | cp2(skolemFOFtoCNF_Y(X)) ),
    inference(canonicalize,[],[normalize_0_23]) ).

cnf(refute_0_43,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_17492)
    | cp2(skolemFOFtoCNF_Y(i2003_11_14_17_19_17492)) ),
    inference(subst,[],[refute_0_42:[bind(X,$fot(i2003_11_14_17_19_17492))]]) ).

cnf(refute_0_44,plain,
    cp2(skolemFOFtoCNF_Y(i2003_11_14_17_19_17492)),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_17492) )],[refute_0_0,refute_0_43]) ).

cnf(refute_0_45,plain,
    ~ cp1(skolemFOFtoCNF_Y(i2003_11_14_17_19_17492)),
    inference(resolve,[$cnf( cp2(skolemFOFtoCNF_Y(i2003_11_14_17_19_17492)) )],[refute_0_44,refute_0_41]) ).

cnf(refute_0_46,plain,
    $false,
    inference(resolve,[$cnf( cp1(skolemFOFtoCNF_Y(i2003_11_14_17_19_17492)) )],[refute_0_39,refute_0_45]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KRS079+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n022.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 : Tue Jun  7 18:49:50 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  
% 0.13/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36  
%------------------------------------------------------------------------------