TSTP Solution File: SET506-6 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET506-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n025.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 04:38:13 EDT 2022

% Result   : Unsatisfiable 3.21s 3.39s
% Output   : Refutation 3.21s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(omega_in_universal,axiom,
    member(omega,universal_class),
    input ).

cnf(complement1,axiom,
    ( ~ member(X62,complement(X61))
    | ~ member(X62,X61) ),
    input ).

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

cnf(prove_universal_class_not_null_class_1,negated_conjecture,
    universal_class = null_class,
    input ).

cnf(equal_implies_subclass1,axiom,
    ( X9 != X10
    | subclass(X9,X10) ),
    input ).

cnf(c45,plain,
    subclass(universal_class,null_class),
    inference(resolution,status(thm),[equal_implies_subclass1,prove_universal_class_not_null_class_1]) ).

cnf(c44,plain,
    ( ~ subclass(universal_class,X99)
    | member(omega,X99) ),
    inference(resolution,status(thm),[subclass_members,omega_in_universal]) ).

cnf(c135,plain,
    member(omega,null_class),
    inference(resolution,status(thm),[c44,c45]) ).

cnf(c140,plain,
    ( ~ subclass(null_class,X115)
    | member(omega,X115) ),
    inference(resolution,status(thm),[c135,subclass_members]) ).

cnf(equal_implies_subclass2,axiom,
    ( X14 != X15
    | subclass(X15,X14) ),
    input ).

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

cnf(regularity1,axiom,
    ( X130 = null_class
    | member(regular(X130),X130) ),
    input ).

cnf(c229,plain,
    ( X753 = null_class
    | ~ subclass(X753,X754)
    | member(regular(X753),X754) ),
    inference(resolution,status(thm),[regularity1,subclass_members]) ).

cnf(c8371,plain,
    ( X756 = null_class
    | member(regular(X756),universal_class) ),
    inference(resolution,status(thm),[c229,class_elements_are_sets]) ).

cnf(c230,plain,
    ( complement(X760) = null_class
    | ~ member(regular(complement(X760)),X760) ),
    inference(resolution,status(thm),[regularity1,complement1]) ).

cnf(c8654,plain,
    complement(universal_class) = null_class,
    inference(resolution,status(thm),[c230,c8371]) ).

cnf(c8671,plain,
    subclass(null_class,complement(universal_class)),
    inference(resolution,status(thm),[c8654,equal_implies_subclass2]) ).

cnf(c8703,plain,
    member(omega,complement(universal_class)),
    inference(resolution,status(thm),[c8671,c140]) ).

cnf(c8893,plain,
    ~ member(omega,universal_class),
    inference(resolution,status(thm),[c8703,complement1]) ).

cnf(c8904,plain,
    $false,
    inference(resolution,status(thm),[c8893,omega_in_universal]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET506-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul 10 09:53:46 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 3.21/3.39  # Version:  1.3
% 3.21/3.39  # SZS status Unsatisfiable
% 3.21/3.39  # SZS output start CNFRefutation
% See solution above
% 3.21/3.39  
% 3.21/3.39  # Initial clauses    : 160
% 3.21/3.39  # Processed clauses  : 746
% 3.21/3.39  # Factors computed   : 2
% 3.21/3.39  # Resolvents computed: 8859
% 3.21/3.39  # Tautologies deleted: 8
% 3.21/3.39  # Forward subsumed   : 298
% 3.21/3.39  # Backward subsumed  : 5
% 3.21/3.39  # -------- CPU Time ---------
% 3.21/3.39  # User time          : 3.007 s
% 3.21/3.39  # System time        : 0.029 s
% 3.21/3.39  # Total time         : 3.036 s
%------------------------------------------------------------------------------