%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SET057-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n029.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 03:31:55 EDT 2022

% Result   : Unsatisfiable 135.96s 136.10s
% Output   : CNFRefutation 135.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   19 (   9 unt;   2 nHn;  17 RR)
%            Number of literals    :   32 (  14 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   11 (   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)
    | X = Y ) ).

cnf(prove_equality2_1,negated_conjecture,
    member(not_subclass_element(x,y),y) ).

cnf(prove_equality2_2,negated_conjecture,
    x != y ).

cnf(prove_equality2_3,negated_conjecture,
    ~ member(not_subclass_element(y,x),y) ).

cnf(refute_0_0,plain,
    ( member(not_subclass_element(y,x),y)
    | subclass(y,x) ),
    inference(subst,[],[not_subclass_members1:[bind(X,$fot(y)),bind(Y,$fot(x))]]) ).

cnf(refute_0_1,plain,
    subclass(y,x),
    inference(resolve,[$cnf( member(not_subclass_element(y,x),y) )],[refute_0_0,prove_equality2_3]) ).

cnf(refute_0_2,plain,
    ( ~ subclass(x,y)
    | ~ subclass(y,x)
    | y = x ),
    inference(subst,[],[subclass_implies_equal:[bind(X,$fot(y)),bind(Y,$fot(x))]]) ).

cnf(refute_0_3,plain,
    ( ~ subclass(x,y)
    | y = x ),
    inference(resolve,[$cnf( subclass(y,x) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ member(not_subclass_element(x,y),y)
    | subclass(x,y) ),
    inference(subst,[],[not_subclass_members2:[bind(X,$fot(x)),bind(Y,$fot(y))]]) ).

cnf(refute_0_5,plain,
    subclass(x,y),
    inference(resolve,[$cnf( member(not_subclass_element(x,y),y) )],[prove_equality2_1,refute_0_4]) ).

cnf(refute_0_6,plain,
    y = x,
    inference(resolve,[$cnf( subclass(x,y) )],[refute_0_5,refute_0_3]) ).

cnf(refute_0_7,plain,
    X0 = X0,
    introduced(tautology,[refl,[$fot(X0)]]) ).

cnf(refute_0_8,plain,
    ( X0 != X0
    | X0 != Y0
    | Y0 = X0 ),
    introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).

cnf(refute_0_9,plain,
    ( X0 != Y0
    | Y0 = X0 ),
    inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_7,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( y != x
    | x = y ),
    inference(subst,[],[refute_0_9:[bind(X0,$fot(y)),bind(Y0,$fot(x))]]) ).

cnf(refute_0_11,plain,
    y != x,
    inference(resolve,[$cnf( $equal(x,y) )],[refute_0_10,prove_equality2_2]) ).

cnf(refute_0_12,plain,
    $false,
    inference(resolve,[$cnf( $equal(y,x) )],[refute_0_6,refute_0_11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET057-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n029.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 : Sun Jul 10 22:17:16 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 135.96/136.10  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 135.96/136.10  
% 135.96/136.10  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 135.96/136.10  
%------------------------------------------------------------------------------