TSTP Solution File: SET118-6 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET118-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n020.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 04:35:55 EDT 2022

% Result   : Unsatisfiable 1.32s 1.54s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_corollary_2_to_ordered_pairs_are_sets_2,negated_conjecture,
    ~ member(x,universal_class),
    input ).

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(prove_corollary_2_to_ordered_pairs_are_sets_1,negated_conjecture,
    member(x,cross_product(universal_class,universal_class)),
    input ).

cnf(c77,plain,
    ( ~ subclass(cross_product(universal_class,universal_class),X641)
    | member(x,X641) ),
    inference(resolution,status(thm),[prove_corollary_2_to_ordered_pairs_are_sets_1,subclass_members]) ).

cnf(c3616,plain,
    member(x,universal_class),
    inference(resolution,status(thm),[c77,class_elements_are_sets]) ).

cnf(c3627,plain,
    $false,
    inference(resolution,status(thm),[c3616,prove_corollary_2_to_ordered_pairs_are_sets_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET118-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33  % Computer : n020.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 15:06:58 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.32/1.54  # Version:  1.3
% 1.32/1.54  # SZS status Unsatisfiable
% 1.32/1.54  # SZS output start CNFRefutation
% See solution above
% 1.32/1.54  
% 1.32/1.54  # Initial clauses    : 135
% 1.32/1.54  # Processed clauses  : 355
% 1.32/1.54  # Factors computed   : 1
% 1.32/1.54  # Resolvents computed: 3609
% 1.32/1.54  # Tautologies deleted: 8
% 1.32/1.54  # Forward subsumed   : 153
% 1.32/1.54  # Backward subsumed  : 1
% 1.32/1.54  # -------- CPU Time ---------
% 1.32/1.54  # User time          : 1.139 s
% 1.32/1.54  # System time        : 0.022 s
% 1.32/1.54  # Total time         : 1.161 s
%------------------------------------------------------------------------------