TSTP Solution File: SET152-6 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET152-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n024.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 04:36:11 EDT 2022

% Result   : Unsatisfiable 2.89s 3.09s
% Output   : Refutation 2.89s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_complement_of_universal_class_1,negated_conjecture,
    complement(universal_class) != null_class,
    input ).

cnf(complement1,axiom,
    ( ~ member(X59,complement(X60))
    | ~ member(X59,X60) ),
    input ).

cnf(regularity1,axiom,
    ( X124 = null_class
    | member(regular(X124),X124) ),
    input ).

cnf(c180,plain,
    ( complement(X946) = null_class
    | ~ member(regular(complement(X946)),X946) ),
    inference(resolution,status(thm),[regularity1,complement1]) ).

cnf(class_elements_are_sets,axiom,
    subclass(X3,universal_class),
    input ).

cnf(subclass_members,axiom,
    ( ~ subclass(X5,X6)
    | ~ member(X4,X5)
    | member(X4,X6) ),
    input ).

cnf(c181,plain,
    ( X950 = null_class
    | ~ subclass(X950,X951)
    | member(regular(X950),X951) ),
    inference(resolution,status(thm),[regularity1,subclass_members]) ).

cnf(c8414,plain,
    ( X953 = null_class
    | member(regular(X953),universal_class) ),
    inference(resolution,status(thm),[c181,class_elements_are_sets]) ).

cnf(c8544,plain,
    complement(universal_class) = null_class,
    inference(resolution,status(thm),[c8414,c180]) ).

cnf(c8567,plain,
    $false,
    inference(resolution,status(thm),[c8544,prove_complement_of_universal_class_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET152-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul 11 06:07:13 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 2.89/3.09  # Version:  1.3
% 2.89/3.09  # SZS status Unsatisfiable
% 2.89/3.09  # SZS output start CNFRefutation
% See solution above
% 2.89/3.09  
% 2.89/3.09  # Initial clauses    : 160
% 2.89/3.09  # Processed clauses  : 551
% 2.89/3.09  # Factors computed   : 1
% 2.89/3.09  # Resolvents computed: 8567
% 2.89/3.09  # Tautologies deleted: 8
% 2.89/3.09  # Forward subsumed   : 260
% 2.89/3.09  # Backward subsumed  : 1
% 2.89/3.09  # -------- CPU Time ---------
% 2.89/3.09  # User time          : 2.701 s
% 2.89/3.09  # System time        : 0.032 s
% 2.89/3.09  # Total time         : 2.733 s
%------------------------------------------------------------------------------