TSTP Solution File: SET063-7 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET063-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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  : 300s
% DateTime : Thu May  9 17:39:03 EDT 2024

% Result   : Unsatisfiable 0.48s 0.67s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   6 RR)
%            Number of literals    :   10 (   4 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    4 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_corollary_of_null_class_is_subclass_2,negated_conjecture,
    x != null_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_2) ).

cnf(prove_corollary_of_null_class_is_subclass_1,negated_conjecture,
    subclass(x,null_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_1) ).

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

cnf(subclass_implies_equal,axiom,
    ( ~ subclass(X28,X27)
    | ~ subclass(X27,X28)
    | X28 = X27 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).

cnf(c48,plain,
    ( ~ subclass(X104,null_class)
    | X104 = null_class ),
    inference(resolution,[status(thm)],[subclass_implies_equal,null_class_is_subclass]) ).

cnf(c124,plain,
    x = null_class,
    inference(resolution,[status(thm)],[c48,prove_corollary_of_null_class_is_subclass_1]) ).

cnf(c129,plain,
    $false,
    inference(resolution,[status(thm)],[c124,prove_corollary_of_null_class_is_subclass_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SET063-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Wed May  8 19:10:08 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.48/0.67  % Version:  1.5
% 0.48/0.67  % SZS status Unsatisfiable
% 0.48/0.67  % SZS output start CNFRefutation
% See solution above
% 0.48/0.67  
% 0.48/0.67  % Initial clauses    : 148
% 0.48/0.67  % Processed clauses  : 56
% 0.48/0.67  % Factors computed   : 2
% 0.48/0.67  % Resolvents computed: 95
% 0.48/0.67  % Tautologies deleted: 5
% 0.48/0.67  % Forward subsumed   : 14
% 0.48/0.67  % Backward subsumed  : 0
% 0.48/0.67  % -------- CPU Time ---------
% 0.48/0.67  % User time          : 0.294 s
% 0.48/0.67  % System time        : 0.013 s
% 0.48/0.67  % Total time         : 0.307 s
%------------------------------------------------------------------------------