%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SET055-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n007.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 : Tue Jul 19 03:31:52 EDT 2022

% Result   : Unsatisfiable 173.59s 173.76s
% Output   : CNFRefutation 173.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   12 (   6 unt;   2 nHn;   7 RR)
%            Number of literals    :   19 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_subclass_members1,axiom,
    ( member(not_subclass_element(X,Y),X)
    | subclass(X,Y) ) ).

cnf(not_subclass_members2,axiom,
    ( ~ member(not_subclass_element(X,Y),Y)
    | subclass(X,Y) ) ).

cnf(subclass_implies_equal,axiom,
    ( ~ subclass(X,Y)
    | ~ subclass(Y,X)
    | equalish(X,Y) ) ).

cnf(prove_reflexivity,negated_conjecture,
    ~ equalish(x,x) ).

cnf(refute_0_0,plain,
    ( ~ subclass(X_1049,X_1049)
    | equalish(X_1049,X_1049) ),
    inference(subst,[],[subclass_implies_equal:[bind(X,$fot(X_1049)),bind(Y,$fot(X_1049))]]) ).

cnf(refute_0_1,plain,
    ( member(not_subclass_element(X_1048,X_1048),X_1048)
    | subclass(X_1048,X_1048) ),
    inference(subst,[],[not_subclass_members1:[bind(X,$fot(X_1048)),bind(Y,$fot(X_1048))]]) ).

cnf(refute_0_2,plain,
    ( ~ member(not_subclass_element(X_1048,X_1048),X_1048)
    | subclass(X_1048,X_1048) ),
    inference(subst,[],[not_subclass_members2:[bind(X,$fot(X_1048)),bind(Y,$fot(X_1048))]]) ).

cnf(refute_0_3,plain,
    subclass(X_1048,X_1048),
    inference(resolve,[$cnf( member(not_subclass_element(X_1048,X_1048),X_1048) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    subclass(X_1049,X_1049),
    inference(subst,[],[refute_0_3:[bind(X_1048,$fot(X_1049))]]) ).

cnf(refute_0_5,plain,
    equalish(X_1049,X_1049),
    inference(resolve,[$cnf( subclass(X_1049,X_1049) )],[refute_0_4,refute_0_0]) ).

cnf(refute_0_6,plain,
    equalish(x,x),
    inference(subst,[],[refute_0_5:[bind(X_1049,$fot(x))]]) ).

cnf(refute_0_7,plain,
    $false,
    inference(resolve,[$cnf( equalish(x,x) )],[refute_0_6,prove_reflexivity]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET055-6 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n007.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 : Mon Jul 11 04:45:02 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 173.59/173.76  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 173.59/173.76  
% 173.59/173.76  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 173.59/173.76  
%------------------------------------------------------------------------------