TSTP Solution File: NUM190-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : NUM190-1 : TPTP v8.1.0. 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  : 600s
% DateTime : Mon Jul 18 13:34:52 EDT 2022

% Result   : Unsatisfiable 13.92s 14.08s
% Output   : Refutation 13.92s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(class_elements_are_sets,axiom,
    subclass(X3,universal_class),
    input ).

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

cnf(omega_is_inductive1,axiom,
    inductive(omega),
    input ).

cnf(inductive1,axiom,
    ( ~ inductive(X22)
    | member(null_class,X22) ),
    input ).

cnf(c68,plain,
    member(null_class,omega),
    inference(resolution,status(thm),[inductive1,omega_is_inductive1]) ).

cnf(c69,plain,
    ( ~ subclass(omega,X120)
    | member(null_class,X120) ),
    inference(resolution,status(thm),[c68,subclass_members]) ).

cnf(c173,plain,
    member(null_class,universal_class),
    inference(resolution,status(thm),[c69,class_elements_are_sets]) ).

cnf(complement1,axiom,
    ( ~ member(X76,complement(X77))
    | ~ member(X76,X77) ),
    input ).

cnf(prove_omega_is_not_null_1,negated_conjecture,
    omega = null_class,
    input ).

cnf(c46,plain,
    ( X92 != X91
    | ~ inductive(X92)
    | inductive(X91) ),
    eq_axiom ).

cnf(c123,plain,
    ( ~ inductive(omega)
    | inductive(null_class) ),
    inference(resolution,status(thm),[c46,prove_omega_is_not_null_1]) ).

cnf(c129,plain,
    inductive(null_class),
    inference(resolution,status(thm),[c123,omega_is_inductive1]) ).

cnf(c130,plain,
    member(null_class,null_class),
    inference(resolution,status(thm),[c129,inductive1]) ).

cnf(c132,plain,
    ( ~ subclass(null_class,X132)
    | member(null_class,X132) ),
    inference(resolution,status(thm),[c130,subclass_members]) ).

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

cnf(regularity1,axiom,
    ( X146 = null_class
    | member(regular(X146),X146) ),
    input ).

cnf(c264,plain,
    ( complement(X940) = null_class
    | ~ member(regular(complement(X940)),X940) ),
    inference(resolution,status(thm),[regularity1,complement1]) ).

cnf(c267,plain,
    ( X944 = null_class
    | ~ subclass(X944,X943)
    | member(regular(X944),X943) ),
    inference(resolution,status(thm),[regularity1,subclass_members]) ).

cnf(c20581,plain,
    ( X1144 = null_class
    | member(regular(X1144),universal_class) ),
    inference(resolution,status(thm),[c267,class_elements_are_sets]) ).

cnf(c27351,plain,
    complement(universal_class) = null_class,
    inference(resolution,status(thm),[c20581,c264]) ).

cnf(c27396,plain,
    subclass(null_class,complement(universal_class)),
    inference(resolution,status(thm),[c27351,equal_implies_subclass2]) ).

cnf(c27453,plain,
    member(null_class,complement(universal_class)),
    inference(resolution,status(thm),[c27396,c132]) ).

cnf(c27592,plain,
    ~ member(null_class,universal_class),
    inference(resolution,status(thm),[c27453,complement1]) ).

cnf(c27600,plain,
    $false,
    inference(resolution,status(thm),[c27592,c173]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM190-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n015.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
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jul  7 20:42:50 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 13.92/14.08  # Version:  1.3
% 13.92/14.08  # SZS status Unsatisfiable
% 13.92/14.08  # SZS output start CNFRefutation
% See solution above
% 13.92/14.08  
% 13.92/14.08  # Initial clauses    : 222
% 13.92/14.08  # Processed clauses  : 1221
% 13.92/14.08  # Factors computed   : 4
% 13.92/14.08  # Resolvents computed: 27547
% 13.92/14.08  # Tautologies deleted: 8
% 13.92/14.08  # Forward subsumed   : 943
% 13.92/14.08  # Backward subsumed  : 52
% 13.92/14.08  # -------- CPU Time ---------
% 13.92/14.08  # User time          : 13.682 s
% 13.92/14.08  # System time        : 0.061 s
% 13.92/14.08  # Total time         : 13.743 s
%------------------------------------------------------------------------------