TSTP Solution File: KRS116+1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : KRS116+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n023.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 03:18:46 EDT 2022

% Result   : Unsatisfiable 0.19s 0.37s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  133 (  22 unt;   1 def)
%            Number of atoms       :  456 (   0 equ)
%            Maximal formula atoms :   91 (   3 avg)
%            Number of connectives :  570 ( 247   ~; 213   |;  64   &)
%                                         (  36 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   20 (  19 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   1 con; 0-1 aty)
%            Number of variables   :  184 (   4 sgn 124   !;  30   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
     => ca(X) ) ).

fof(axiom_3,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
     => ? [Y] :
          ( rs(X,Y)
          & ca_Ax2(Y) ) ) ).

fof(axiom_4,axiom,
    ! [X] :
      ( ca(X)
    <=> ~ ? [Y] : ra_Px1(X,Y) ) ).

fof(axiom_5,axiom,
    ! [X] :
      ( caxcomp(X)
    <=> ? [Y1] : ra_Px1(X,Y1) ) ).

fof(axiom_6,axiom,
    ! [X] :
      ( cc(X)
    <=> ! [Y] :
          ( rinvR(X,Y)
         => ca_Vx7(Y) ) ) ).

fof(axiom_7,axiom,
    ! [X] :
      ( ca_Ax2(X)
    <=> ( ! [Y] :
            ( rp(X,Y)
           => ca_Vx3(Y) )
        & ! [Y] :
            ( rp(X,Y)
           => ca_Vx5(Y) )
        & ! [Y] :
            ( rr(X,Y)
           => cc(Y) )
        & ? [Y] :
            ( rr(X,Y)
            & cowlThing(Y) )
        & ? [Y] :
            ( rp(X,Y)
            & cowlThing(Y) )
        & ! [Y] :
            ( rp(X,Y)
           => ca_Vx4(Y) ) ) ) ).

fof(axiom_8,axiom,
    ! [X] :
      ( ca_Vx3(X)
    <=> ? [Y] :
          ( rr(X,Y)
          & cowlThing(Y) ) ) ).

fof(axiom_10,axiom,
    ! [X] :
      ( ca_Vx5(X)
    <=> ! [Y] :
          ( rr(X,Y)
         => cc(Y) ) ) ).

fof(axiom_11,axiom,
    ! [X] :
      ( ca_Vx6(X)
    <=> ! [Y] :
          ( rinvS(X,Y)
         => caxcomp(Y) ) ) ).

fof(axiom_12,axiom,
    ! [X] :
      ( ca_Vx7(X)
    <=> ! [Y] :
          ( rinvP(X,Y)
         => ca_Vx6(Y) ) ) ).

fof(axiom_13,axiom,
    ! [X,Y] :
      ( rinvP(X,Y)
    <=> rp(Y,X) ) ).

fof(axiom_14,axiom,
    ! [X,Y] :
      ( rinvR(X,Y)
    <=> rr(Y,X) ) ).

fof(axiom_15,axiom,
    ! [X,Y] :
      ( rinvS(X,Y)
    <=> rs(Y,X) ) ).

fof(axiom_17,axiom,
    cUnsatisfiable(i2003_11_14_17_21_33997) ).

fof(definition_0,definition,
    ! [X,Y] :
      ( definitionFOFtoCNF_0(X,Y)
    <=> ( ~ rp(X,Y)
        | ca_Vx3(Y) ) ) ).

fof(normalize_0_0,plain,
    ! [X] :
      ( ~ ca(X)
    <=> ? [Y] : ra_Px1(X,Y) ),
    inference(canonicalize,[],[axiom_4]) ).

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

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

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

fof(normalize_0_4,plain,
    ! [X] :
      ( ~ caxcomp(X)
    <=> ! [Y1] : ~ ra_Px1(X,Y1) ),
    inference(canonicalize,[],[axiom_5]) ).

fof(normalize_0_5,plain,
    ! [X] :
      ( ~ caxcomp(X)
    <=> ! [Y1] : ~ ra_Px1(X,Y1) ),
    inference(specialize,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ! [X,Y1] :
      ( ( ~ caxcomp(X)
        | ra_Px1(X,skolemFOFtoCNF_Y0(X)) )
      & ( ~ ra_Px1(X,Y1)
        | caxcomp(X) ) ),
    inference(clausify,[],[normalize_0_5]) ).

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

fof(normalize_0_8,plain,
    cUnsatisfiable(i2003_11_14_17_21_33997),
    inference(canonicalize,[],[axiom_17]) ).

fof(normalize_0_9,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | ? [Y] :
          ( ca_Ax2(Y)
          & rs(X,Y) ) ),
    inference(canonicalize,[],[axiom_3]) ).

fof(normalize_0_10,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | ? [Y] :
          ( ca_Ax2(Y)
          & rs(X,Y) ) ),
    inference(specialize,[],[normalize_0_9]) ).

fof(normalize_0_11,plain,
    ! [X] :
      ( ( ~ cUnsatisfiable(X)
        | ca_Ax2(skolemFOFtoCNF_Y(X)) )
      & ( ~ cUnsatisfiable(X)
        | rs(X,skolemFOFtoCNF_Y(X)) ) ),
    inference(clausify,[],[normalize_0_10]) ).

fof(normalize_0_12,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | rs(X,skolemFOFtoCNF_Y(X)) ),
    inference(conjunct,[],[normalize_0_11]) ).

fof(normalize_0_13,plain,
    ! [X,Y] :
      ( ~ rinvS(X,Y)
    <=> ~ rs(Y,X) ),
    inference(canonicalize,[],[axiom_15]) ).

fof(normalize_0_14,plain,
    ! [X,Y] :
      ( ~ rinvS(X,Y)
    <=> ~ rs(Y,X) ),
    inference(specialize,[],[normalize_0_13]) ).

fof(normalize_0_15,plain,
    ! [X,Y] :
      ( ( ~ rinvS(X,Y)
        | rs(Y,X) )
      & ( ~ rs(Y,X)
        | rinvS(X,Y) ) ),
    inference(clausify,[],[normalize_0_14]) ).

fof(normalize_0_16,plain,
    ! [X,Y] :
      ( ~ rs(Y,X)
      | rinvS(X,Y) ),
    inference(conjunct,[],[normalize_0_15]) ).

fof(normalize_0_17,plain,
    ! [X] :
      ( ~ ca_Vx6(X)
    <=> ? [Y] :
          ( ~ caxcomp(Y)
          & rinvS(X,Y) ) ),
    inference(canonicalize,[],[axiom_11]) ).

fof(normalize_0_18,plain,
    ! [X] :
      ( ~ ca_Vx6(X)
    <=> ? [Y] :
          ( ~ caxcomp(Y)
          & rinvS(X,Y) ) ),
    inference(specialize,[],[normalize_0_17]) ).

fof(normalize_0_19,plain,
    ! [X,Y] :
      ( ( ~ caxcomp(skolemFOFtoCNF_Y_12(X))
        | ca_Vx6(X) )
      & ( ca_Vx6(X)
        | rinvS(X,skolemFOFtoCNF_Y_12(X)) )
      & ( ~ ca_Vx6(X)
        | ~ rinvS(X,Y)
        | caxcomp(Y) ) ),
    inference(clausify,[],[normalize_0_18]) ).

fof(normalize_0_20,plain,
    ! [X,Y] :
      ( ~ ca_Vx6(X)
      | ~ rinvS(X,Y)
      | caxcomp(Y) ),
    inference(conjunct,[],[normalize_0_19]) ).

fof(normalize_0_21,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | ca_Ax2(skolemFOFtoCNF_Y(X)) ),
    inference(conjunct,[],[normalize_0_11]) ).

fof(normalize_0_22,plain,
    ! [X] :
      ( ~ ca_Ax2(X)
    <=> ( ? [Y] :
            ( ~ ca_Vx3(Y)
            & rp(X,Y) )
        | ? [Y] :
            ( ~ ca_Vx4(Y)
            & rp(X,Y) )
        | ? [Y] :
            ( ~ ca_Vx5(Y)
            & rp(X,Y) )
        | ? [Y] :
            ( ~ cc(Y)
            & rr(X,Y) )
        | ! [Y] :
            ( ~ cowlThing(Y)
            | ~ rp(X,Y) )
        | ! [Y] :
            ( ~ cowlThing(Y)
            | ~ rr(X,Y) ) ) ),
    inference(canonicalize,[],[axiom_7]) ).

fof(normalize_0_23,plain,
    ! [X] :
      ( ~ ca_Ax2(X)
    <=> ( ? [Y] :
            ( ~ ca_Vx3(Y)
            & rp(X,Y) )
        | ? [Y] :
            ( ~ ca_Vx4(Y)
            & rp(X,Y) )
        | ? [Y] :
            ( ~ ca_Vx5(Y)
            & rp(X,Y) )
        | ? [Y] :
            ( ~ cc(Y)
            & rr(X,Y) )
        | ! [Y] :
            ( ~ cowlThing(Y)
            | ~ rp(X,Y) )
        | ! [Y] :
            ( ~ cowlThing(Y)
            | ~ rr(X,Y) ) ) ),
    inference(specialize,[],[normalize_0_22]) ).

fof(normalize_0_24,plain,
    ! [X,Y] :
      ( ~ definitionFOFtoCNF_0(X,Y)
    <=> ( ~ ca_Vx3(Y)
        & rp(X,Y) ) ),
    inference(canonicalize,[],[definition_0]) ).

fof(normalize_0_25,plain,
    ! [X] :
      ( ~ ca_Ax2(X)
    <=> ( ? [Y] : ~ definitionFOFtoCNF_0(X,Y)
        | ? [Y] :
            ( ~ ca_Vx4(Y)
            & rp(X,Y) )
        | ? [Y] :
            ( ~ ca_Vx5(Y)
            & rp(X,Y) )
        | ? [Y] :
            ( ~ cc(Y)
            & rr(X,Y) )
        | ! [Y] :
            ( ~ cowlThing(Y)
            | ~ rp(X,Y) )
        | ! [Y] :
            ( ~ cowlThing(Y)
            | ~ rr(X,Y) ) ) ),
    inference(simplify,[],[normalize_0_23,normalize_0_24]) ).

fof(normalize_0_26,plain,
    ! [X,Y,Y0] :
      ( ( ~ ca_Ax2(X)
        | cowlThing(skolemFOFtoCNF_Y_7(X)) )
      & ( ~ ca_Ax2(X)
        | cowlThing(skolemFOFtoCNF_Y_8(X)) )
      & ( ~ ca_Ax2(X)
        | definitionFOFtoCNF_0(X,Y) )
      & ( ~ ca_Ax2(X)
        | rp(X,skolemFOFtoCNF_Y_8(X)) )
      & ( ~ ca_Ax2(X)
        | rr(X,skolemFOFtoCNF_Y_7(X)) )
      & ( ~ ca_Ax2(X)
        | ~ rp(X,Y)
        | ca_Vx4(Y) )
      & ( ~ ca_Ax2(X)
        | ~ rp(X,Y)
        | ca_Vx5(Y) )
      & ( ~ ca_Ax2(X)
        | ~ rr(X,Y)
        | cc(Y) )
      & ( ~ ca_Vx4(skolemFOFtoCNF_Y_4(X))
        | ~ ca_Vx5(skolemFOFtoCNF_Y_5(X))
        | ~ cc(skolemFOFtoCNF_Y_6(X))
        | ~ cowlThing(Y)
        | ~ cowlThing(Y0)
        | ~ definitionFOFtoCNF_0(X,skolemFOFtoCNF_Y_3(X))
        | ~ rp(X,Y)
        | ~ rr(X,Y0)
        | ca_Ax2(X) )
      & ( ~ ca_Vx4(skolemFOFtoCNF_Y_4(X))
        | ~ ca_Vx5(skolemFOFtoCNF_Y_5(X))
        | ~ cowlThing(Y)
        | ~ cowlThing(Y0)
        | ~ definitionFOFtoCNF_0(X,skolemFOFtoCNF_Y_3(X))
        | ~ rp(X,Y)
        | ~ rr(X,Y0)
        | ca_Ax2(X)
        | rr(X,skolemFOFtoCNF_Y_6(X)) )
      & ( ~ ca_Vx4(skolemFOFtoCNF_Y_4(X))
        | ~ cc(skolemFOFtoCNF_Y_6(X))
        | ~ cowlThing(Y)
        | ~ cowlThing(Y0)
        | ~ definitionFOFtoCNF_0(X,skolemFOFtoCNF_Y_3(X))
        | ~ rp(X,Y)
        | ~ rr(X,Y0)
        | ca_Ax2(X)
        | rp(X,skolemFOFtoCNF_Y_5(X)) )
      & ( ~ ca_Vx4(skolemFOFtoCNF_Y_4(X))
        | ~ cowlThing(Y)
        | ~ cowlThing(Y0)
        | ~ definitionFOFtoCNF_0(X,skolemFOFtoCNF_Y_3(X))
        | ~ rp(X,Y)
        | ~ rr(X,Y0)
        | ca_Ax2(X)
        | rp(X,skolemFOFtoCNF_Y_5(X))
        | rr(X,skolemFOFtoCNF_Y_6(X)) )
      & ( ~ ca_Vx5(skolemFOFtoCNF_Y_5(X))
        | ~ cc(skolemFOFtoCNF_Y_6(X))
        | ~ cowlThing(Y)
        | ~ cowlThing(Y0)
        | ~ definitionFOFtoCNF_0(X,skolemFOFtoCNF_Y_3(X))
        | ~ rp(X,Y)
        | ~ rr(X,Y0)
        | ca_Ax2(X)
        | rp(X,skolemFOFtoCNF_Y_4(X)) )
      & ( ~ ca_Vx5(skolemFOFtoCNF_Y_5(X))
        | ~ cowlThing(Y)
        | ~ cowlThing(Y0)
        | ~ definitionFOFtoCNF_0(X,skolemFOFtoCNF_Y_3(X))
        | ~ rp(X,Y)
        | ~ rr(X,Y0)
        | ca_Ax2(X)
        | rp(X,skolemFOFtoCNF_Y_4(X))
        | rr(X,skolemFOFtoCNF_Y_6(X)) )
      & ( ~ cc(skolemFOFtoCNF_Y_6(X))
        | ~ cowlThing(Y)
        | ~ cowlThing(Y0)
        | ~ definitionFOFtoCNF_0(X,skolemFOFtoCNF_Y_3(X))
        | ~ rp(X,Y)
        | ~ rr(X,Y0)
        | ca_Ax2(X)
        | rp(X,skolemFOFtoCNF_Y_4(X))
        | rp(X,skolemFOFtoCNF_Y_5(X)) )
      & ( ~ cowlThing(Y)
        | ~ cowlThing(Y0)
        | ~ definitionFOFtoCNF_0(X,skolemFOFtoCNF_Y_3(X))
        | ~ rp(X,Y)
        | ~ rr(X,Y0)
        | ca_Ax2(X)
        | rp(X,skolemFOFtoCNF_Y_4(X))
        | rp(X,skolemFOFtoCNF_Y_5(X))
        | rr(X,skolemFOFtoCNF_Y_6(X)) ) ),
    inference(clausify,[],[normalize_0_25]) ).

fof(normalize_0_27,plain,
    ! [X] :
      ( ~ ca_Ax2(X)
      | rp(X,skolemFOFtoCNF_Y_8(X)) ),
    inference(conjunct,[],[normalize_0_26]) ).

fof(normalize_0_28,plain,
    ! [X,Y] :
      ( ~ rinvP(X,Y)
    <=> ~ rp(Y,X) ),
    inference(canonicalize,[],[axiom_13]) ).

fof(normalize_0_29,plain,
    ! [X,Y] :
      ( ~ rinvP(X,Y)
    <=> ~ rp(Y,X) ),
    inference(specialize,[],[normalize_0_28]) ).

fof(normalize_0_30,plain,
    ! [X,Y] :
      ( ( ~ rinvP(X,Y)
        | rp(Y,X) )
      & ( ~ rp(Y,X)
        | rinvP(X,Y) ) ),
    inference(clausify,[],[normalize_0_29]) ).

fof(normalize_0_31,plain,
    ! [X,Y] :
      ( ~ rp(Y,X)
      | rinvP(X,Y) ),
    inference(conjunct,[],[normalize_0_30]) ).

fof(normalize_0_32,plain,
    ! [X] :
      ( ~ ca_Vx7(X)
    <=> ? [Y] :
          ( ~ ca_Vx6(Y)
          & rinvP(X,Y) ) ),
    inference(canonicalize,[],[axiom_12]) ).

fof(normalize_0_33,plain,
    ! [X] :
      ( ~ ca_Vx7(X)
    <=> ? [Y] :
          ( ~ ca_Vx6(Y)
          & rinvP(X,Y) ) ),
    inference(specialize,[],[normalize_0_32]) ).

fof(normalize_0_34,plain,
    ! [X,Y] :
      ( ( ~ ca_Vx6(skolemFOFtoCNF_Y_13(X))
        | ca_Vx7(X) )
      & ( ca_Vx7(X)
        | rinvP(X,skolemFOFtoCNF_Y_13(X)) )
      & ( ~ ca_Vx7(X)
        | ~ rinvP(X,Y)
        | ca_Vx6(Y) ) ),
    inference(clausify,[],[normalize_0_33]) ).

fof(normalize_0_35,plain,
    ! [X,Y] :
      ( ~ ca_Vx7(X)
      | ~ rinvP(X,Y)
      | ca_Vx6(Y) ),
    inference(conjunct,[],[normalize_0_34]) ).

fof(normalize_0_36,plain,
    ! [X] :
      ( ~ cc(X)
    <=> ? [Y] :
          ( ~ ca_Vx7(Y)
          & rinvR(X,Y) ) ),
    inference(canonicalize,[],[axiom_6]) ).

fof(normalize_0_37,plain,
    ! [X] :
      ( ~ cc(X)
    <=> ? [Y] :
          ( ~ ca_Vx7(Y)
          & rinvR(X,Y) ) ),
    inference(specialize,[],[normalize_0_36]) ).

fof(normalize_0_38,plain,
    ! [X,Y] :
      ( ( ~ ca_Vx7(skolemFOFtoCNF_Y_2(X))
        | cc(X) )
      & ( cc(X)
        | rinvR(X,skolemFOFtoCNF_Y_2(X)) )
      & ( ~ cc(X)
        | ~ rinvR(X,Y)
        | ca_Vx7(Y) ) ),
    inference(clausify,[],[normalize_0_37]) ).

fof(normalize_0_39,plain,
    ! [X,Y] :
      ( ~ cc(X)
      | ~ rinvR(X,Y)
      | ca_Vx7(Y) ),
    inference(conjunct,[],[normalize_0_38]) ).

fof(normalize_0_40,plain,
    ! [X,Y] :
      ( ~ rinvR(X,Y)
    <=> ~ rr(Y,X) ),
    inference(canonicalize,[],[axiom_14]) ).

fof(normalize_0_41,plain,
    ! [X,Y] :
      ( ~ rinvR(X,Y)
    <=> ~ rr(Y,X) ),
    inference(specialize,[],[normalize_0_40]) ).

fof(normalize_0_42,plain,
    ! [X,Y] :
      ( ( ~ rinvR(X,Y)
        | rr(Y,X) )
      & ( ~ rr(Y,X)
        | rinvR(X,Y) ) ),
    inference(clausify,[],[normalize_0_41]) ).

fof(normalize_0_43,plain,
    ! [X,Y] :
      ( ~ rr(Y,X)
      | rinvR(X,Y) ),
    inference(conjunct,[],[normalize_0_42]) ).

fof(normalize_0_44,plain,
    ! [X] :
      ( ~ ca_Vx3(X)
    <=> ! [Y] :
          ( ~ cowlThing(Y)
          | ~ rr(X,Y) ) ),
    inference(canonicalize,[],[axiom_8]) ).

fof(normalize_0_45,plain,
    ! [X] :
      ( ~ ca_Vx3(X)
    <=> ! [Y] :
          ( ~ cowlThing(Y)
          | ~ rr(X,Y) ) ),
    inference(specialize,[],[normalize_0_44]) ).

fof(normalize_0_46,plain,
    ! [X,Y] :
      ( ( ~ ca_Vx3(X)
        | cowlThing(skolemFOFtoCNF_Y_9(X)) )
      & ( ~ ca_Vx3(X)
        | rr(X,skolemFOFtoCNF_Y_9(X)) )
      & ( ~ cowlThing(Y)
        | ~ rr(X,Y)
        | ca_Vx3(X) ) ),
    inference(clausify,[],[normalize_0_45]) ).

fof(normalize_0_47,plain,
    ! [X] :
      ( ~ ca_Vx3(X)
      | rr(X,skolemFOFtoCNF_Y_9(X)) ),
    inference(conjunct,[],[normalize_0_46]) ).

fof(normalize_0_48,plain,
    ! [X,Y] :
      ( ( ~ ca_Vx3(Y)
        | definitionFOFtoCNF_0(X,Y) )
      & ( definitionFOFtoCNF_0(X,Y)
        | rp(X,Y) )
      & ( ~ definitionFOFtoCNF_0(X,Y)
        | ~ rp(X,Y)
        | ca_Vx3(Y) ) ),
    inference(clausify,[],[normalize_0_24]) ).

fof(normalize_0_49,plain,
    ! [X,Y] :
      ( ~ definitionFOFtoCNF_0(X,Y)
      | ~ rp(X,Y)
      | ca_Vx3(Y) ),
    inference(conjunct,[],[normalize_0_48]) ).

fof(normalize_0_50,plain,
    ! [X,Y] :
      ( ~ ca_Ax2(X)
      | definitionFOFtoCNF_0(X,Y) ),
    inference(conjunct,[],[normalize_0_26]) ).

fof(normalize_0_51,plain,
    ! [X] :
      ( ~ ca_Vx5(X)
    <=> ? [Y] :
          ( ~ cc(Y)
          & rr(X,Y) ) ),
    inference(canonicalize,[],[axiom_10]) ).

fof(normalize_0_52,plain,
    ! [X] :
      ( ~ ca_Vx5(X)
    <=> ? [Y] :
          ( ~ cc(Y)
          & rr(X,Y) ) ),
    inference(specialize,[],[normalize_0_51]) ).

fof(normalize_0_53,plain,
    ! [X,Y] :
      ( ( ~ cc(skolemFOFtoCNF_Y_11(X))
        | ca_Vx5(X) )
      & ( ca_Vx5(X)
        | rr(X,skolemFOFtoCNF_Y_11(X)) )
      & ( ~ ca_Vx5(X)
        | ~ rr(X,Y)
        | cc(Y) ) ),
    inference(clausify,[],[normalize_0_52]) ).

fof(normalize_0_54,plain,
    ! [X,Y] :
      ( ~ ca_Vx5(X)
      | ~ rr(X,Y)
      | cc(Y) ),
    inference(conjunct,[],[normalize_0_53]) ).

fof(normalize_0_55,plain,
    ! [X,Y] :
      ( ~ ca_Ax2(X)
      | ~ rp(X,Y)
      | ca_Vx5(Y) ),
    inference(conjunct,[],[normalize_0_26]) ).

fof(normalize_0_56,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | ca(X) ),
    inference(canonicalize,[],[axiom_2]) ).

fof(normalize_0_57,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
      | ca(X) ),
    inference(specialize,[],[normalize_0_56]) ).

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

cnf(refute_0_1,plain,
    ( ~ ca(i2003_11_14_17_21_33997)
    | ~ ra_Px1(i2003_11_14_17_21_33997,skolemFOFtoCNF_Y0(i2003_11_14_17_21_33997)) ),
    inference(subst,[],[refute_0_0:[bind(X,$fot(i2003_11_14_17_21_33997)),bind(Y,$fot(skolemFOFtoCNF_Y0(i2003_11_14_17_21_33997)))]]) ).

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

cnf(refute_0_3,plain,
    ( ~ caxcomp(i2003_11_14_17_21_33997)
    | ra_Px1(i2003_11_14_17_21_33997,skolemFOFtoCNF_Y0(i2003_11_14_17_21_33997)) ),
    inference(subst,[],[refute_0_2:[bind(X,$fot(i2003_11_14_17_21_33997))]]) ).

cnf(refute_0_4,plain,
    cUnsatisfiable(i2003_11_14_17_21_33997),
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_5,plain,
    ( ~ cUnsatisfiable(X)
    | rs(X,skolemFOFtoCNF_Y(X)) ),
    inference(canonicalize,[],[normalize_0_12]) ).

cnf(refute_0_6,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_33997)
    | rs(i2003_11_14_17_21_33997,skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)) ),
    inference(subst,[],[refute_0_5:[bind(X,$fot(i2003_11_14_17_21_33997))]]) ).

cnf(refute_0_7,plain,
    rs(i2003_11_14_17_21_33997,skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_33997) )],[refute_0_4,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ rs(Y,X)
    | rinvS(X,Y) ),
    inference(canonicalize,[],[normalize_0_16]) ).

cnf(refute_0_9,plain,
    ( ~ rs(i2003_11_14_17_21_33997,skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))
    | rinvS(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997),i2003_11_14_17_21_33997) ),
    inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))),bind(Y,$fot(i2003_11_14_17_21_33997))]]) ).

cnf(refute_0_10,plain,
    rinvS(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997),i2003_11_14_17_21_33997),
    inference(resolve,[$cnf( rs(i2003_11_14_17_21_33997,skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)) )],[refute_0_7,refute_0_9]) ).

cnf(refute_0_11,plain,
    ( ~ ca_Vx6(X)
    | ~ rinvS(X,Y)
    | caxcomp(Y) ),
    inference(canonicalize,[],[normalize_0_20]) ).

cnf(refute_0_12,plain,
    ( ~ ca_Vx6(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))
    | ~ rinvS(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997),i2003_11_14_17_21_33997)
    | caxcomp(i2003_11_14_17_21_33997) ),
    inference(subst,[],[refute_0_11:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))),bind(Y,$fot(i2003_11_14_17_21_33997))]]) ).

cnf(refute_0_13,plain,
    ( ~ ca_Vx6(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))
    | caxcomp(i2003_11_14_17_21_33997) ),
    inference(resolve,[$cnf( rinvS(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997),i2003_11_14_17_21_33997) )],[refute_0_10,refute_0_12]) ).

cnf(refute_0_14,plain,
    ( ~ cUnsatisfiable(X)
    | ca_Ax2(skolemFOFtoCNF_Y(X)) ),
    inference(canonicalize,[],[normalize_0_21]) ).

cnf(refute_0_15,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_33997)
    | ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)) ),
    inference(subst,[],[refute_0_14:[bind(X,$fot(i2003_11_14_17_21_33997))]]) ).

cnf(refute_0_16,plain,
    ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_33997) )],[refute_0_4,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( ~ ca_Ax2(X)
    | rp(X,skolemFOFtoCNF_Y_8(X)) ),
    inference(canonicalize,[],[normalize_0_27]) ).

cnf(refute_0_18,plain,
    ( ~ ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))
    | rp(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997),skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))) ),
    inference(subst,[],[refute_0_17:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))]]) ).

cnf(refute_0_19,plain,
    rp(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997),skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))),
    inference(resolve,[$cnf( ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)) )],[refute_0_16,refute_0_18]) ).

cnf(refute_0_20,plain,
    ( ~ rp(Y,X)
    | rinvP(X,Y) ),
    inference(canonicalize,[],[normalize_0_31]) ).

cnf(refute_0_21,plain,
    ( ~ rp(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997),skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))
    | rinvP(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)),skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)) ),
    inference(subst,[],[refute_0_20:[bind(X,$fot(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))),bind(Y,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))]]) ).

cnf(refute_0_22,plain,
    rinvP(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)),skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)),
    inference(resolve,[$cnf( rp(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997),skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))) )],[refute_0_19,refute_0_21]) ).

cnf(refute_0_23,plain,
    ( ~ ca_Vx7(X)
    | ~ rinvP(X,Y)
    | ca_Vx6(Y) ),
    inference(canonicalize,[],[normalize_0_35]) ).

cnf(refute_0_24,plain,
    ( ~ ca_Vx7(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))
    | ~ rinvP(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)),skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))
    | ca_Vx6(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)) ),
    inference(subst,[],[refute_0_23:[bind(X,$fot(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))),bind(Y,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))]]) ).

cnf(refute_0_25,plain,
    ( ~ ca_Vx7(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))
    | ca_Vx6(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)) ),
    inference(resolve,[$cnf( rinvP(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)),skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)) )],[refute_0_22,refute_0_24]) ).

cnf(refute_0_26,plain,
    ( ~ cc(X)
    | ~ rinvR(X,Y)
    | ca_Vx7(Y) ),
    inference(canonicalize,[],[normalize_0_39]) ).

cnf(refute_0_27,plain,
    ( ~ cc(skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))))
    | ~ rinvR(skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))),skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))
    | ca_Vx7(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))) ),
    inference(subst,[],[refute_0_26:[bind(X,$fot(skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))))),bind(Y,$fot(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))))]]) ).

cnf(refute_0_28,plain,
    ( ~ rr(Y,X)
    | rinvR(X,Y) ),
    inference(canonicalize,[],[normalize_0_43]) ).

cnf(refute_0_29,plain,
    ( ~ rr(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)),skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))))
    | rinvR(skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))),skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))) ),
    inference(subst,[],[refute_0_28:[bind(X,$fot(skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))))),bind(Y,$fot(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))))]]) ).

cnf(refute_0_30,plain,
    ( ~ ca_Vx3(X)
    | rr(X,skolemFOFtoCNF_Y_9(X)) ),
    inference(canonicalize,[],[normalize_0_47]) ).

cnf(refute_0_31,plain,
    ( ~ ca_Vx3(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))
    | rr(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)),skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))) ),
    inference(subst,[],[refute_0_30:[bind(X,$fot(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))))]]) ).

cnf(refute_0_32,plain,
    ( ~ definitionFOFtoCNF_0(X,Y)
    | ~ rp(X,Y)
    | ca_Vx3(Y) ),
    inference(canonicalize,[],[normalize_0_49]) ).

cnf(refute_0_33,plain,
    ( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997),skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))
    | ~ rp(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997),skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))
    | ca_Vx3(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))) ),
    inference(subst,[],[refute_0_32:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))),bind(Y,$fot(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))))]]) ).

cnf(refute_0_34,plain,
    ( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997),skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))
    | ca_Vx3(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))) ),
    inference(resolve,[$cnf( rp(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997),skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))) )],[refute_0_19,refute_0_33]) ).

cnf(refute_0_35,plain,
    ( ~ ca_Ax2(X)
    | definitionFOFtoCNF_0(X,Y) ),
    inference(canonicalize,[],[normalize_0_50]) ).

cnf(refute_0_36,plain,
    ( ~ ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))
    | definitionFOFtoCNF_0(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997),X_31) ),
    inference(subst,[],[refute_0_35:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))),bind(Y,$fot(X_31))]]) ).

cnf(refute_0_37,plain,
    definitionFOFtoCNF_0(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997),X_31),
    inference(resolve,[$cnf( ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)) )],[refute_0_16,refute_0_36]) ).

cnf(refute_0_38,plain,
    definitionFOFtoCNF_0(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997),skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))),
    inference(subst,[],[refute_0_37:[bind(X_31,$fot(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))))]]) ).

cnf(refute_0_39,plain,
    ca_Vx3(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))),
    inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997),skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))) )],[refute_0_38,refute_0_34]) ).

cnf(refute_0_40,plain,
    rr(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)),skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))),
    inference(resolve,[$cnf( ca_Vx3(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))) )],[refute_0_39,refute_0_31]) ).

cnf(refute_0_41,plain,
    rinvR(skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))),skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))),
    inference(resolve,[$cnf( rr(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)),skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))) )],[refute_0_40,refute_0_29]) ).

cnf(refute_0_42,plain,
    ( ~ cc(skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))))
    | ca_Vx7(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))) ),
    inference(resolve,[$cnf( rinvR(skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))),skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))) )],[refute_0_41,refute_0_27]) ).

cnf(refute_0_43,plain,
    ( ~ ca_Vx5(X)
    | ~ rr(X,Y)
    | cc(Y) ),
    inference(canonicalize,[],[normalize_0_54]) ).

cnf(refute_0_44,plain,
    ( ~ ca_Vx5(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))
    | ~ rr(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)),skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))))
    | cc(skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))) ),
    inference(subst,[],[refute_0_43:[bind(X,$fot(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))),bind(Y,$fot(skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))))]]) ).

cnf(refute_0_45,plain,
    ( ~ ca_Vx5(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))
    | cc(skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))) ),
    inference(resolve,[$cnf( rr(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)),skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))) )],[refute_0_40,refute_0_44]) ).

cnf(refute_0_46,plain,
    ( ~ ca_Ax2(X)
    | ~ rp(X,Y)
    | ca_Vx5(Y) ),
    inference(canonicalize,[],[normalize_0_55]) ).

cnf(refute_0_47,plain,
    ( ~ ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))
    | ~ rp(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997),skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))
    | ca_Vx5(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))) ),
    inference(subst,[],[refute_0_46:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))),bind(Y,$fot(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))))]]) ).

cnf(refute_0_48,plain,
    ( ~ ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))
    | ca_Vx5(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))) ),
    inference(resolve,[$cnf( rp(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997),skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))) )],[refute_0_19,refute_0_47]) ).

cnf(refute_0_49,plain,
    ca_Vx5(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))),
    inference(resolve,[$cnf( ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)) )],[refute_0_16,refute_0_48]) ).

cnf(refute_0_50,plain,
    cc(skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))),
    inference(resolve,[$cnf( ca_Vx5(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))) )],[refute_0_49,refute_0_45]) ).

cnf(refute_0_51,plain,
    ca_Vx7(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))),
    inference(resolve,[$cnf( cc(skolemFOFtoCNF_Y_9(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)))) )],[refute_0_50,refute_0_42]) ).

cnf(refute_0_52,plain,
    ca_Vx6(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)),
    inference(resolve,[$cnf( ca_Vx7(skolemFOFtoCNF_Y_8(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997))) )],[refute_0_51,refute_0_25]) ).

cnf(refute_0_53,plain,
    caxcomp(i2003_11_14_17_21_33997),
    inference(resolve,[$cnf( ca_Vx6(skolemFOFtoCNF_Y(i2003_11_14_17_21_33997)) )],[refute_0_52,refute_0_13]) ).

cnf(refute_0_54,plain,
    ra_Px1(i2003_11_14_17_21_33997,skolemFOFtoCNF_Y0(i2003_11_14_17_21_33997)),
    inference(resolve,[$cnf( caxcomp(i2003_11_14_17_21_33997) )],[refute_0_53,refute_0_3]) ).

cnf(refute_0_55,plain,
    ~ ca(i2003_11_14_17_21_33997),
    inference(resolve,[$cnf( ra_Px1(i2003_11_14_17_21_33997,skolemFOFtoCNF_Y0(i2003_11_14_17_21_33997)) )],[refute_0_54,refute_0_1]) ).

cnf(refute_0_56,plain,
    ( ~ cUnsatisfiable(X)
    | ca(X) ),
    inference(canonicalize,[],[normalize_0_57]) ).

cnf(refute_0_57,plain,
    ( ~ cUnsatisfiable(i2003_11_14_17_21_33997)
    | ca(i2003_11_14_17_21_33997) ),
    inference(subst,[],[refute_0_56:[bind(X,$fot(i2003_11_14_17_21_33997))]]) ).

cnf(refute_0_58,plain,
    ca(i2003_11_14_17_21_33997),
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_33997) )],[refute_0_4,refute_0_57]) ).

cnf(refute_0_59,plain,
    $false,
    inference(resolve,[$cnf( ca(i2003_11_14_17_21_33997) )],[refute_0_58,refute_0_55]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS116+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun  7 17:57:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.37  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.37  
% 0.19/0.37  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.39  
%------------------------------------------------------------------------------