%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SET054-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n003.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 03:31:51 EDT 2022

% Result   : Unsatisfiable 0.19s 0.42s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   5 RR)
%            Number of literals    :    9 (   3 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(equal_implies_subclass1,axiom,
    ( X != Y
    | subclass(X,Y) ) ).

cnf(prove_subclass_is_reflexive_1,negated_conjecture,
    ~ subclass(x,x) ).

cnf(refute_0_0,plain,
    ( Y != Y
    | subclass(Y,Y) ),
    inference(subst,[],[equal_implies_subclass1:[bind(X,$fot(Y))]]) ).

cnf(refute_0_1,plain,
    Y = Y,
    introduced(tautology,[refl,[$fot(Y)]]) ).

cnf(refute_0_2,plain,
    subclass(Y,Y),
    inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_1,refute_0_0]) ).

cnf(refute_0_3,plain,
    subclass(x,x),
    inference(subst,[],[refute_0_2:[bind(Y,$fot(x))]]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( subclass(x,x) )],[refute_0_3,prove_subclass_is_reflexive_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET054-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n003.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul 10 06:26:14 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.42  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.42  
% 0.19/0.42  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.42  
%------------------------------------------------------------------------------