TSTP Solution File: SET061-7 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET061-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n004.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 04:35:02 EDT 2022

% Result   : Unsatisfiable 0.47s 0.66s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(special_classes_lemma,axiom,
    ~ member(X46,intersection(complement(X45),X45)),
    input ).

cnf(subclass_members,axiom,
    ( ~ subclass(X5,X7)
    | ~ member(X6,X5)
    | member(X6,X7) ),
    input ).

cnf(prove_existence_of_null_class_1,negated_conjecture,
    member(z,null_class),
    input ).

cnf(c40,plain,
    ( ~ subclass(null_class,X97)
    | member(z,X97) ),
    inference(resolution,status(thm),[prove_existence_of_null_class_1,subclass_members]) ).

cnf(equal_implies_subclass2,axiom,
    ( X15 != X16
    | subclass(X16,X15) ),
    input ).

cnf(regularity1,axiom,
    ( X127 = null_class
    | member(regular(X127),X127) ),
    input ).

cnf(c188,plain,
    intersection(complement(X128),X128) = null_class,
    inference(resolution,status(thm),[regularity1,special_classes_lemma]) ).

cnf(c197,plain,
    subclass(null_class,intersection(complement(X133),X133)),
    inference(resolution,status(thm),[c188,equal_implies_subclass2]) ).

cnf(c224,plain,
    member(z,intersection(complement(X140),X140)),
    inference(resolution,status(thm),[c197,c40]) ).

cnf(c233,plain,
    $false,
    inference(resolution,status(thm),[c224,special_classes_lemma]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET061-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 16:12:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.47/0.66  # Version:  1.3
% 0.47/0.66  # SZS status Unsatisfiable
% 0.47/0.66  # SZS output start CNFRefutation
% See solution above
% 0.47/0.66  
% 0.47/0.66  # Initial clauses    : 145
% 0.47/0.66  # Processed clauses  : 79
% 0.47/0.66  # Factors computed   : 0
% 0.47/0.66  # Resolvents computed: 199
% 0.47/0.66  # Tautologies deleted: 5
% 0.47/0.66  # Forward subsumed   : 26
% 0.47/0.66  # Backward subsumed  : 0
% 0.47/0.66  # -------- CPU Time ---------
% 0.47/0.66  # User time          : 0.308 s
% 0.47/0.66  # System time        : 0.013 s
% 0.47/0.66  # Total time         : 0.321 s
%------------------------------------------------------------------------------