TSTP Solution File: KRS076+1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : KRS076+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n025.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 0.11s 0.35s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   76 (  17 unt;   0 def)
%            Number of atoms       :  196 (  27 equ)
%            Maximal formula atoms :   27 (   2 avg)
%            Number of connectives :  222 ( 102   ~;  92   |;  17   &)
%                                         (   6 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :   93 (   0 sgn  61   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
    <=> ( ? [Y] :
            ( rf(X,Y)
            & cp(Y) )
        & ? [Y] :
            ( rf1(X,Y)
            & ~ cp(Y)
            & ! [Z] :
                ( rinvF1(Y,Z)
               => ? [W] :
                    ( rs(Z,W)
                    & cowlThing(W) ) ) ) ) ) ).

fof(axiom_3,axiom,
    ! [X,Y,Z] :
      ( ( rf(X,Y)
        & rf(X,Z) )
     => Y = Z ) ).

fof(axiom_4,axiom,
    ! [X,Y,Z] :
      ( ( rf1(X,Y)
        & rf1(X,Z) )
     => Y = Z ) ).

fof(axiom_6,axiom,
    ! [X,Y] :
      ( rinvF1(X,Y)
    <=> rf1(Y,X) ) ).

fof(axiom_9,axiom,
    cUnsatisfiable(i2003_11_14_17_19_06193) ).

fof(axiom_10,axiom,
    ! [X,Y] :
      ( rs(X,Y)
     => rf1(X,Y) ) ).

fof(axiom_11,axiom,
    ! [X,Y] :
      ( rs(X,Y)
     => rf(X,Y) ) ).

fof(normalize_0_0,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
    <=> ( ! [Y] :
            ( ~ cp(Y)
            | ~ rf(X,Y) )
        | ! [Y] :
            ( ~ rf1(X,Y)
            | cp(Y)
            | ? [Z] :
                ( rinvF1(Y,Z)
                & ! [W] :
                    ( ~ cowlThing(W)
                    | ~ rs(Z,W) ) ) ) ) ),
    inference(canonicalize,[],[axiom_2]) ).

fof(normalize_0_1,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
    <=> ( ! [Y] :
            ( ~ cp(Y)
            | ~ rf(X,Y) )
        | ! [Y] :
            ( ~ rf1(X,Y)
            | cp(Y)
            | ? [Z] :
                ( rinvF1(Y,Z)
                & ! [W] :
                    ( ~ cowlThing(W)
                    | ~ rs(Z,W) ) ) ) ) ),
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [W,X,Y,Y0,Z] :
      ( ( ~ cUnsatisfiable(X)
        | ~ cp(skolemFOFtoCNF_Y(X)) )
      & ( ~ cUnsatisfiable(X)
        | cp(skolemFOFtoCNF_Y_1(X)) )
      & ( ~ cUnsatisfiable(X)
        | rf(X,skolemFOFtoCNF_Y_1(X)) )
      & ( ~ cUnsatisfiable(X)
        | rf1(X,skolemFOFtoCNF_Y(X)) )
      & ( ~ cUnsatisfiable(X)
        | ~ rinvF1(skolemFOFtoCNF_Y(X),Z)
        | cowlThing(skolemFOFtoCNF_W(Z)) )
      & ( ~ cUnsatisfiable(X)
        | ~ rinvF1(skolemFOFtoCNF_Y(X),Z)
        | rs(Z,skolemFOFtoCNF_W(Z)) )
      & ( ~ cp(Y)
        | ~ rf(X,Y)
        | ~ rf1(X,Y0)
        | cUnsatisfiable(X)
        | cp(Y0)
        | rinvF1(Y0,skolemFOFtoCNF_Z(Y0)) )
      & ( ~ cowlThing(W)
        | ~ cp(Y)
        | ~ rf(X,Y)
        | ~ rf1(X,Y0)
        | ~ rs(skolemFOFtoCNF_Z(Y0),W)
        | cUnsatisfiable(X)
        | cp(Y0) ) ),
    inference(clausify,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | ~ cp(skolemFOFtoCNF_Y(X)) ),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [X,Y] :
      ( ~ rs(X,Y)
      | rf1(X,Y) ),
    inference(canonicalize,[],[axiom_10]) ).

fof(normalize_0_5,plain,
    ! [X,Y] :
      ( ~ rs(X,Y)
      | rf1(X,Y) ),
    inference(specialize,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    cUnsatisfiable(i2003_11_14_17_19_06193),
    inference(canonicalize,[],[axiom_9]) ).

fof(normalize_0_7,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | rf1(X,skolemFOFtoCNF_Y(X)) ),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_8,plain,
    ! [X,Y] :
      ( ~ rf1(Y,X)
    <=> ~ rinvF1(X,Y) ),
    inference(canonicalize,[],[axiom_6]) ).

fof(normalize_0_9,plain,
    ! [X,Y] :
      ( ~ rf1(Y,X)
    <=> ~ rinvF1(X,Y) ),
    inference(specialize,[],[normalize_0_8]) ).

fof(normalize_0_10,plain,
    ! [X,Y] :
      ( ( ~ rf1(Y,X)
        | rinvF1(X,Y) )
      & ( ~ rinvF1(X,Y)
        | rf1(Y,X) ) ),
    inference(clausify,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    ! [X,Y] :
      ( ~ rf1(Y,X)
      | rinvF1(X,Y) ),
    inference(conjunct,[],[normalize_0_10]) ).

fof(normalize_0_12,plain,
    ! [X,Z] :
      ( ~ cUnsatisfiable(X)
      | ~ rinvF1(skolemFOFtoCNF_Y(X),Z)
      | rs(Z,skolemFOFtoCNF_W(Z)) ),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_13,plain,
    ! [X,Y,Z] :
      ( ~ rf1(X,Y)
      | ~ rf1(X,Z)
      | Y = Z ),
    inference(canonicalize,[],[axiom_4]) ).

fof(normalize_0_14,plain,
    ! [X,Y,Z] :
      ( ~ rf1(X,Y)
      | ~ rf1(X,Z)
      | Y = Z ),
    inference(specialize,[],[normalize_0_13]) ).

fof(normalize_0_15,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | cp(skolemFOFtoCNF_Y_1(X)) ),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_16,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | rf(X,skolemFOFtoCNF_Y_1(X)) ),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_17,plain,
    ! [X,Y] :
      ( ~ rs(X,Y)
      | rf(X,Y) ),
    inference(canonicalize,[],[axiom_11]) ).

fof(normalize_0_18,plain,
    ! [X,Y] :
      ( ~ rs(X,Y)
      | rf(X,Y) ),
    inference(specialize,[],[normalize_0_17]) ).

fof(normalize_0_19,plain,
    ! [X,Y,Z] :
      ( ~ rf(X,Y)
      | ~ rf(X,Z)
      | Y = Z ),
    inference(canonicalize,[],[axiom_3]) ).

fof(normalize_0_20,plain,
    ! [X,Y,Z] :
      ( ~ rf(X,Y)
      | ~ rf(X,Z)
      | Y = Z ),
    inference(specialize,[],[normalize_0_19]) ).

cnf(refute_0_0,plain,
    ( ~ cUnsatisfiable(X)
    | ~ cp(skolemFOFtoCNF_Y(X)) ),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_1,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
    | ~ cp(skolemFOFtoCNF_Y(i2003_11_14_17_19_06193)) ),
    inference(subst,[],[refute_0_0:[bind(X,$fot(i2003_11_14_17_19_06193))]]) ).

cnf(refute_0_2,plain,
    ( ~ rs(X,Y)
    | rf1(X,Y) ),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_3,plain,
    ( ~ rs(i2003_11_14_17_19_06193,skolemFOFtoCNF_W(i2003_11_14_17_19_06193))
    | rf1(i2003_11_14_17_19_06193,skolemFOFtoCNF_W(i2003_11_14_17_19_06193)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(i2003_11_14_17_19_06193)),bind(Y,$fot(skolemFOFtoCNF_W(i2003_11_14_17_19_06193)))]]) ).

cnf(refute_0_4,plain,
    cUnsatisfiable(i2003_11_14_17_19_06193),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_5,plain,
    ( ~ cUnsatisfiable(X)
    | rf1(X,skolemFOFtoCNF_Y(X)) ),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_6,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
    | rf1(i2003_11_14_17_19_06193,skolemFOFtoCNF_Y(i2003_11_14_17_19_06193)) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(i2003_11_14_17_19_06193))]]) ).

cnf(refute_0_7,plain,
    rf1(i2003_11_14_17_19_06193,skolemFOFtoCNF_Y(i2003_11_14_17_19_06193)),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_06193) )],[refute_0_4,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ rf1(Y,X)
    | rinvF1(X,Y) ),
    inference(canonicalize,[],[normalize_0_11]) ).

cnf(refute_0_9,plain,
    ( ~ rf1(i2003_11_14_17_19_06193,skolemFOFtoCNF_Y(i2003_11_14_17_19_06193))
    | rinvF1(skolemFOFtoCNF_Y(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193) ),
    inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_06193))),bind(Y,$fot(i2003_11_14_17_19_06193))]]) ).

cnf(refute_0_10,plain,
    rinvF1(skolemFOFtoCNF_Y(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193),
    inference(resolve,[$cnf( rf1(i2003_11_14_17_19_06193,skolemFOFtoCNF_Y(i2003_11_14_17_19_06193)) )],[refute_0_7,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( ~ cUnsatisfiable(X)
    | ~ rinvF1(skolemFOFtoCNF_Y(X),Z)
    | rs(Z,skolemFOFtoCNF_W(Z)) ),
    inference(canonicalize,[],[normalize_0_12]) ).

cnf(refute_0_12,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
    | ~ rinvF1(skolemFOFtoCNF_Y(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193)
    | rs(i2003_11_14_17_19_06193,skolemFOFtoCNF_W(i2003_11_14_17_19_06193)) ),
    inference(subst,[],[refute_0_11:[bind(X,$fot(i2003_11_14_17_19_06193)),bind(Z,$fot(i2003_11_14_17_19_06193))]]) ).

cnf(refute_0_13,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
    | rs(i2003_11_14_17_19_06193,skolemFOFtoCNF_W(i2003_11_14_17_19_06193)) ),
    inference(resolve,[$cnf( rinvF1(skolemFOFtoCNF_Y(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193) )],[refute_0_10,refute_0_12]) ).

cnf(refute_0_14,plain,
    rs(i2003_11_14_17_19_06193,skolemFOFtoCNF_W(i2003_11_14_17_19_06193)),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_06193) )],[refute_0_4,refute_0_13]) ).

cnf(refute_0_15,plain,
    rf1(i2003_11_14_17_19_06193,skolemFOFtoCNF_W(i2003_11_14_17_19_06193)),
    inference(resolve,[$cnf( rs(i2003_11_14_17_19_06193,skolemFOFtoCNF_W(i2003_11_14_17_19_06193)) )],[refute_0_14,refute_0_3]) ).

cnf(refute_0_16,plain,
    ( ~ rf1(X,Y)
    | ~ rf1(X,Z)
    | Y = Z ),
    inference(canonicalize,[],[normalize_0_14]) ).

cnf(refute_0_17,plain,
    ( ~ rf1(i2003_11_14_17_19_06193,X_36)
    | ~ rf1(i2003_11_14_17_19_06193,skolemFOFtoCNF_Y(i2003_11_14_17_19_06193))
    | skolemFOFtoCNF_Y(i2003_11_14_17_19_06193) = X_36 ),
    inference(subst,[],[refute_0_16:[bind(X,$fot(i2003_11_14_17_19_06193)),bind(Y,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_19_06193))),bind(Z,$fot(X_36))]]) ).

cnf(refute_0_18,plain,
    ( ~ rf1(i2003_11_14_17_19_06193,X_36)
    | skolemFOFtoCNF_Y(i2003_11_14_17_19_06193) = X_36 ),
    inference(resolve,[$cnf( rf1(i2003_11_14_17_19_06193,skolemFOFtoCNF_Y(i2003_11_14_17_19_06193)) )],[refute_0_7,refute_0_17]) ).

cnf(refute_0_19,plain,
    ( ~ rf1(i2003_11_14_17_19_06193,skolemFOFtoCNF_W(i2003_11_14_17_19_06193))
    | skolemFOFtoCNF_Y(i2003_11_14_17_19_06193) = skolemFOFtoCNF_W(i2003_11_14_17_19_06193) ),
    inference(subst,[],[refute_0_18:[bind(X_36,$fot(skolemFOFtoCNF_W(i2003_11_14_17_19_06193)))]]) ).

cnf(refute_0_20,plain,
    skolemFOFtoCNF_Y(i2003_11_14_17_19_06193) = skolemFOFtoCNF_W(i2003_11_14_17_19_06193),
    inference(resolve,[$cnf( rf1(i2003_11_14_17_19_06193,skolemFOFtoCNF_W(i2003_11_14_17_19_06193)) )],[refute_0_15,refute_0_19]) ).

cnf(refute_0_21,plain,
    ( skolemFOFtoCNF_Y(i2003_11_14_17_19_06193) != skolemFOFtoCNF_W(i2003_11_14_17_19_06193)
    | ~ cp(skolemFOFtoCNF_W(i2003_11_14_17_19_06193))
    | cp(skolemFOFtoCNF_Y(i2003_11_14_17_19_06193)) ),
    introduced(tautology,[equality,[$cnf( ~ cp(skolemFOFtoCNF_Y(i2003_11_14_17_19_06193)) ),[0],$fot(skolemFOFtoCNF_W(i2003_11_14_17_19_06193))]]) ).

cnf(refute_0_22,plain,
    ( ~ cp(skolemFOFtoCNF_W(i2003_11_14_17_19_06193))
    | cp(skolemFOFtoCNF_Y(i2003_11_14_17_19_06193)) ),
    inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y(i2003_11_14_17_19_06193),skolemFOFtoCNF_W(i2003_11_14_17_19_06193)) )],[refute_0_20,refute_0_21]) ).

cnf(refute_0_23,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
    | ~ cp(skolemFOFtoCNF_W(i2003_11_14_17_19_06193)) ),
    inference(resolve,[$cnf( cp(skolemFOFtoCNF_Y(i2003_11_14_17_19_06193)) )],[refute_0_22,refute_0_1]) ).

cnf(refute_0_24,plain,
    ~ cp(skolemFOFtoCNF_W(i2003_11_14_17_19_06193)),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_06193) )],[refute_0_4,refute_0_23]) ).

cnf(refute_0_25,plain,
    ( ~ cUnsatisfiable(X)
    | cp(skolemFOFtoCNF_Y_1(X)) ),
    inference(canonicalize,[],[normalize_0_15]) ).

cnf(refute_0_26,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
    | cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193)) ),
    inference(subst,[],[refute_0_25:[bind(X,$fot(i2003_11_14_17_19_06193))]]) ).

cnf(refute_0_27,plain,
    cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193)),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_06193) )],[refute_0_4,refute_0_26]) ).

cnf(refute_0_28,plain,
    ( ~ cUnsatisfiable(X)
    | rf(X,skolemFOFtoCNF_Y_1(X)) ),
    inference(canonicalize,[],[normalize_0_16]) ).

cnf(refute_0_29,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_19_06193)
    | rf(i2003_11_14_17_19_06193,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193)) ),
    inference(subst,[],[refute_0_28:[bind(X,$fot(i2003_11_14_17_19_06193))]]) ).

cnf(refute_0_30,plain,
    rf(i2003_11_14_17_19_06193,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193)),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_06193) )],[refute_0_4,refute_0_29]) ).

cnf(refute_0_31,plain,
    ( ~ rs(X,Y)
    | rf(X,Y) ),
    inference(canonicalize,[],[normalize_0_18]) ).

cnf(refute_0_32,plain,
    ( ~ rs(i2003_11_14_17_19_06193,skolemFOFtoCNF_W(i2003_11_14_17_19_06193))
    | rf(i2003_11_14_17_19_06193,skolemFOFtoCNF_W(i2003_11_14_17_19_06193)) ),
    inference(subst,[],[refute_0_31:[bind(X,$fot(i2003_11_14_17_19_06193)),bind(Y,$fot(skolemFOFtoCNF_W(i2003_11_14_17_19_06193)))]]) ).

cnf(refute_0_33,plain,
    rf(i2003_11_14_17_19_06193,skolemFOFtoCNF_W(i2003_11_14_17_19_06193)),
    inference(resolve,[$cnf( rs(i2003_11_14_17_19_06193,skolemFOFtoCNF_W(i2003_11_14_17_19_06193)) )],[refute_0_14,refute_0_32]) ).

cnf(refute_0_34,plain,
    ( ~ rf(X,Y)
    | ~ rf(X,Z)
    | Y = Z ),
    inference(canonicalize,[],[normalize_0_20]) ).

cnf(refute_0_35,plain,
    ( ~ rf(i2003_11_14_17_19_06193,X_32)
    | ~ rf(i2003_11_14_17_19_06193,skolemFOFtoCNF_W(i2003_11_14_17_19_06193))
    | skolemFOFtoCNF_W(i2003_11_14_17_19_06193) = X_32 ),
    inference(subst,[],[refute_0_34:[bind(X,$fot(i2003_11_14_17_19_06193)),bind(Y,$fot(skolemFOFtoCNF_W(i2003_11_14_17_19_06193))),bind(Z,$fot(X_32))]]) ).

cnf(refute_0_36,plain,
    ( ~ rf(i2003_11_14_17_19_06193,X_32)
    | skolemFOFtoCNF_W(i2003_11_14_17_19_06193) = X_32 ),
    inference(resolve,[$cnf( rf(i2003_11_14_17_19_06193,skolemFOFtoCNF_W(i2003_11_14_17_19_06193)) )],[refute_0_33,refute_0_35]) ).

cnf(refute_0_37,plain,
    ( ~ rf(i2003_11_14_17_19_06193,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193))
    | skolemFOFtoCNF_W(i2003_11_14_17_19_06193) = skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193) ),
    inference(subst,[],[refute_0_36:[bind(X_32,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193)))]]) ).

cnf(refute_0_38,plain,
    skolemFOFtoCNF_W(i2003_11_14_17_19_06193) = skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193),
    inference(resolve,[$cnf( rf(i2003_11_14_17_19_06193,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193)) )],[refute_0_30,refute_0_37]) ).

cnf(refute_0_39,plain,
    X0 = X0,
    introduced(tautology,[refl,[$fot(X0)]]) ).

cnf(refute_0_40,plain,
    ( X0 != X0
    | X0 != Y1
    | Y1 = X0 ),
    introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y1)]]) ).

cnf(refute_0_41,plain,
    ( X0 != Y1
    | Y1 = X0 ),
    inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_39,refute_0_40]) ).

cnf(refute_0_42,plain,
    ( skolemFOFtoCNF_W(i2003_11_14_17_19_06193) != skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193)
    | skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193) = skolemFOFtoCNF_W(i2003_11_14_17_19_06193) ),
    inference(subst,[],[refute_0_41:[bind(X0,$fot(skolemFOFtoCNF_W(i2003_11_14_17_19_06193))),bind(Y1,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193)))]]) ).

cnf(refute_0_43,plain,
    skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193) = skolemFOFtoCNF_W(i2003_11_14_17_19_06193),
    inference(resolve,[$cnf( $equal(skolemFOFtoCNF_W(i2003_11_14_17_19_06193),skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193)) )],[refute_0_38,refute_0_42]) ).

cnf(refute_0_44,plain,
    ( skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193) != skolemFOFtoCNF_W(i2003_11_14_17_19_06193)
    | ~ cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193))
    | cp(skolemFOFtoCNF_W(i2003_11_14_17_19_06193)) ),
    introduced(tautology,[equality,[$cnf( cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193)) ),[0],$fot(skolemFOFtoCNF_W(i2003_11_14_17_19_06193))]]) ).

cnf(refute_0_45,plain,
    ( ~ cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193))
    | cp(skolemFOFtoCNF_W(i2003_11_14_17_19_06193)) ),
    inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193),skolemFOFtoCNF_W(i2003_11_14_17_19_06193)) )],[refute_0_43,refute_0_44]) ).

cnf(refute_0_46,plain,
    cp(skolemFOFtoCNF_W(i2003_11_14_17_19_06193)),
    inference(resolve,[$cnf( cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_06193)) )],[refute_0_27,refute_0_45]) ).

cnf(refute_0_47,plain,
    $false,
    inference(resolve,[$cnf( cp(skolemFOFtoCNF_W(i2003_11_14_17_19_06193)) )],[refute_0_46,refute_0_24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : KRS076+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.11/0.33  % Computer : n025.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Tue Jun  7 13:35:49 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.11/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.11/0.35  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35  
% 0.11/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.11/0.36  
%------------------------------------------------------------------------------