%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET079-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n015.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  : 300s
% DateTime : Thu May  9 17:39:07 EDT 2024

% Result   : Unsatisfiable 0.85s 1.07s
% Output   : Refutation 0.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   9 unt;   0 nHn;  11 RR)
%            Number of literals    :   23 (   2 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   16 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(existence_of_null_class,axiom,
    ~ member(X8,null_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).

cnf(equal_implies_subclass1,axiom,
    ( X16 != X17
    | subclass(X16,X17) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).

cnf(prove_corollary_to_set_in_its_singleton_2,negated_conjecture,
    singleton(x) = null_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_set_in_its_singleton_2) ).

cnf(c59,plain,
    subclass(singleton(x),null_class),
    inference(resolution,[status(thm)],[prove_corollary_to_set_in_its_singleton_2,equal_implies_subclass1]) ).

cnf(null_class_is_subclass,axiom,
    subclass(null_class,X9),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_subclass) ).

cnf(transitivity_of_subclass,axiom,
    ( ~ subclass(X280,X282)
    | ~ subclass(X282,X281)
    | subclass(X280,X281) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_subclass) ).

cnf(c828,plain,
    ( ~ subclass(X286,null_class)
    | subclass(X286,X287) ),
    inference(resolution,[status(thm)],[transitivity_of_subclass,null_class_is_subclass]) ).

cnf(c852,plain,
    subclass(singleton(x),X291),
    inference(resolution,[status(thm)],[c828,c59]) ).

cnf(subclass_members,axiom,
    ( ~ subclass(X6,X7)
    | ~ member(X5,X6)
    | member(X5,X7) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(prove_corollary_to_set_in_its_singleton_1,negated_conjecture,
    member(x,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_set_in_its_singleton_1) ).

cnf(set_in_its_singleton,axiom,
    ( ~ member(X177,universal_class)
    | member(X177,singleton(X177)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_in_its_singleton) ).

cnf(c318,plain,
    member(x,singleton(x)),
    inference(resolution,[status(thm)],[set_in_its_singleton,prove_corollary_to_set_in_its_singleton_1]) ).

cnf(c323,plain,
    ( ~ subclass(singleton(x),X461)
    | member(x,X461) ),
    inference(resolution,[status(thm)],[c318,subclass_members]) ).

cnf(c1699,plain,
    member(x,X462),
    inference(resolution,[status(thm)],[c323,c852]) ).

cnf(c1704,plain,
    $false,
    inference(resolution,[status(thm)],[c1699,existence_of_null_class]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET079-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed May  8 18:13:53 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.85/1.07  % Version:  1.5
% 0.85/1.07  % SZS status Unsatisfiable
% 0.85/1.07  % SZS output start CNFRefutation
% See solution above
% 0.85/1.07  
% 0.85/1.07  % Initial clauses    : 166
% 0.85/1.07  % Processed clauses  : 265
% 0.85/1.07  % Factors computed   : 7
% 0.85/1.07  % Resolvents computed: 1676
% 0.85/1.07  % Tautologies deleted: 12
% 0.85/1.07  % Forward subsumed   : 123
% 0.85/1.07  % Backward subsumed  : 12
% 0.85/1.07  % -------- CPU Time ---------
% 0.85/1.07  % User time          : 0.707 s
% 0.85/1.07  % System time        : 0.018 s
% 0.85/1.07  % Total time         : 0.725 s
%------------------------------------------------------------------------------