TSTP Solution File: KRS063+1 by Metis---2.4

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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : KRS063+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 03:18:34 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   30 (  13 unt;   0 def)
%            Number of atoms       :   59 (   0 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   59 (  30   ~;  17   |;   6   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   33 (   3 sgn  24   !;   1   ?)

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

fof(axiom_3,axiom,
    ! [X] :
      ( cEuroMP(X)
    <=> ? [Y] :
          ( risEuroMPFrom(X,Y)
          & cowlThing(Y) ) ) ).

fof(axiom_5,axiom,
    ! [X,Y] :
      ( risEuroMPFrom(X,Y)
    <=> rhasEuroMP(Y,X) ) ).

fof(axiom_10,axiom,
    ~ cEuroMP(iKinnock) ).

fof(axiom_14,axiom,
    rhasEuroMP(iUK,iKinnock) ).

fof(normalize_0_0,plain,
    ! [X] :
      ( ~ cEuroMP(X)
    <=> ! [Y] :
          ( ~ cowlThing(Y)
          | ~ risEuroMPFrom(X,Y) ) ),
    inference(canonicalize,[],[axiom_3]) ).

fof(normalize_0_1,plain,
    ! [X] :
      ( ~ cEuroMP(X)
    <=> ! [Y] :
          ( ~ cowlThing(Y)
          | ~ risEuroMPFrom(X,Y) ) ),
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [X,Y] :
      ( ( ~ cEuroMP(X)
        | cowlThing(skolemFOFtoCNF_Y(X)) )
      & ( ~ cEuroMP(X)
        | risEuroMPFrom(X,skolemFOFtoCNF_Y(X)) )
      & ( ~ cowlThing(Y)
        | ~ risEuroMPFrom(X,Y)
        | cEuroMP(X) ) ),
    inference(clausify,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X,Y] :
      ( ~ cowlThing(Y)
      | ~ risEuroMPFrom(X,Y)
      | cEuroMP(X) ),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ( ! [X] : ~ cowlNothing(X)
    & ! [X] : cowlThing(X) ),
    inference(canonicalize,[],[axiom_0]) ).

fof(normalize_0_5,plain,
    ! [X] : cowlThing(X),
    inference(conjunct,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ! [X] : cowlThing(X),
    inference(specialize,[],[normalize_0_5]) ).

fof(normalize_0_7,plain,
    rhasEuroMP(iUK,iKinnock),
    inference(canonicalize,[],[axiom_14]) ).

fof(normalize_0_8,plain,
    ! [X,Y] :
      ( ~ rhasEuroMP(Y,X)
    <=> ~ risEuroMPFrom(X,Y) ),
    inference(canonicalize,[],[axiom_5]) ).

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

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

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

fof(normalize_0_12,plain,
    ~ cEuroMP(iKinnock),
    inference(canonicalize,[],[axiom_10]) ).

cnf(refute_0_0,plain,
    ( ~ cowlThing(Y)
    | ~ risEuroMPFrom(X,Y)
    | cEuroMP(X) ),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_1,plain,
    cowlThing(X),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_2,plain,
    cowlThing(Y),
    inference(subst,[],[refute_0_1:[bind(X,$fot(Y))]]) ).

cnf(refute_0_3,plain,
    ( ~ risEuroMPFrom(X,Y)
    | cEuroMP(X) ),
    inference(resolve,[$cnf( cowlThing(Y) )],[refute_0_2,refute_0_0]) ).

cnf(refute_0_4,plain,
    ( ~ risEuroMPFrom(iKinnock,iUK)
    | cEuroMP(iKinnock) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(iKinnock)),bind(Y,$fot(iUK))]]) ).

cnf(refute_0_5,plain,
    rhasEuroMP(iUK,iKinnock),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_6,plain,
    ( ~ rhasEuroMP(Y,X)
    | risEuroMPFrom(X,Y) ),
    inference(canonicalize,[],[normalize_0_11]) ).

cnf(refute_0_7,plain,
    ( ~ rhasEuroMP(iUK,iKinnock)
    | risEuroMPFrom(iKinnock,iUK) ),
    inference(subst,[],[refute_0_6:[bind(X,$fot(iKinnock)),bind(Y,$fot(iUK))]]) ).

cnf(refute_0_8,plain,
    risEuroMPFrom(iKinnock,iUK),
    inference(resolve,[$cnf( rhasEuroMP(iUK,iKinnock) )],[refute_0_5,refute_0_7]) ).

cnf(refute_0_9,plain,
    cEuroMP(iKinnock),
    inference(resolve,[$cnf( risEuroMPFrom(iKinnock,iUK) )],[refute_0_8,refute_0_4]) ).

cnf(refute_0_10,plain,
    ~ cEuroMP(iKinnock),
    inference(canonicalize,[],[normalize_0_12]) ).

cnf(refute_0_11,plain,
    $false,
    inference(resolve,[$cnf( cEuroMP(iKinnock) )],[refute_0_9,refute_0_10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : KRS063+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12  % 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 13:49:17 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------