TSTP Solution File: KRS091+1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : KRS091+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 03:18:40 EDT 2022

% Result   : Unsatisfiable 0.12s 0.33s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  13   ~;   3   |;   1   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    8 (   1 sgn   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
    <=> ( cd(X)
        & cc(X) ) ) ).

fof(axiom_3,axiom,
    ! [X] :
      ( cc(X)
     => ~ cd(X) ) ).

fof(axiom_8,axiom,
    cUnsatisfiable(i2003_11_14_17_20_00819) ).

fof(normalize_0_0,plain,
    cUnsatisfiable(i2003_11_14_17_20_00819),
    inference(canonicalize,[],[axiom_8]) ).

fof(normalize_0_1,plain,
    ! [X] :
      ( ~ cc(X)
      | ~ cd(X) ),
    inference(canonicalize,[],[axiom_3]) ).

fof(normalize_0_2,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
    <=> ( ~ cc(X)
        | ~ cd(X) ) ),
    inference(canonicalize,[],[axiom_2]) ).

fof(normalize_0_3,plain,
    ! [X] :
      ( ~ cUnsatisfiable(X)
    <=> ( ~ cc(X)
        | ~ cd(X) ) ),
    inference(specialize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [X] : ~ cUnsatisfiable(X),
    inference(simplify,[],[normalize_0_1,normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [X] : ~ cUnsatisfiable(X),
    inference(specialize,[],[normalize_0_4]) ).

cnf(refute_0_0,plain,
    cUnsatisfiable(i2003_11_14_17_20_00819),
    inference(canonicalize,[],[normalize_0_0]) ).

cnf(refute_0_1,plain,
    ~ cUnsatisfiable(X),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_2,plain,
    ~ cUnsatisfiable(i2003_11_14_17_20_00819),
    inference(subst,[],[refute_0_1:[bind(X,$fot(i2003_11_14_17_20_00819))]]) ).

cnf(refute_0_3,plain,
    $false,
    inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_20_00819) )],[refute_0_0,refute_0_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : KRS091+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n022.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 15:12:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.33  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  
% 0.12/0.33  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------