TSTP Solution File: SET203-6 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET203-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n014.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 04:36:37 EDT 2022

% Result   : Unsatisfiable 20.09s 20.31s
% Output   : Refutation 20.09s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_corollary_to_X_product_property1_3,negated_conjecture,
    ~ member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
    input ).

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

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

cnf(prove_corollary_to_X_product_property1_1,negated_conjecture,
    member(u,x),
    input ).

cnf(c45,plain,
    ( ~ subclass(x,X95)
    | member(u,X95) ),
    inference(resolution,status(thm),[prove_corollary_to_X_product_property1_1,subclass_members]) ).

cnf(c126,plain,
    member(u,universal_class),
    inference(resolution,status(thm),[c45,class_elements_are_sets]) ).

cnf(cartesian_product3,axiom,
    ( ~ member(X94,X93)
    | ~ member(X92,X91)
    | member(ordered_pair(X94,X92),cross_product(X93,X91)) ),
    input ).

cnf(prove_corollary_to_X_product_property1_2,negated_conjecture,
    member(v,y),
    input ).

cnf(c46,plain,
    ( ~ subclass(y,X101)
    | member(v,X101) ),
    inference(resolution,status(thm),[prove_corollary_to_X_product_property1_2,subclass_members]) ).

cnf(c140,plain,
    member(v,universal_class),
    inference(resolution,status(thm),[c46,class_elements_are_sets]) ).

cnf(c143,plain,
    ( ~ member(X851,X850)
    | member(ordered_pair(X851,v),cross_product(X850,universal_class)) ),
    inference(resolution,status(thm),[c140,cartesian_product3]) ).

cnf(c7590,plain,
    member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
    inference(resolution,status(thm),[c143,c126]) ).

cnf(c43502,plain,
    $false,
    inference(resolution,status(thm),[c7590,prove_corollary_to_X_product_property1_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET203-6 : 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 : n014.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 06:00:50 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 20.09/20.31  # Version:  1.3
% 20.09/20.31  # SZS status Unsatisfiable
% 20.09/20.31  # SZS output start CNFRefutation
% See solution above
% 20.09/20.31  
% 20.09/20.31  # Initial clauses    : 162
% 20.09/20.31  # Processed clauses  : 1276
% 20.09/20.31  # Factors computed   : 5
% 20.09/20.31  # Resolvents computed: 43493
% 20.09/20.31  # Tautologies deleted: 10
% 20.09/20.31  # Forward subsumed   : 728
% 20.09/20.31  # Backward subsumed  : 2
% 20.09/20.31  # -------- CPU Time ---------
% 20.09/20.31  # User time          : 19.812 s
% 20.09/20.31  # System time        : 0.103 s
% 20.09/20.31  # Total time         : 19.915 s
%------------------------------------------------------------------------------