TSTP Solution File: SET073-6 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET073-6 : 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 04:35:16 EDT 2022

% Result   : Unsatisfiable 2.36s 2.56s
% Output   : Refutation 2.36s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_corollary_to_unordered_pair_axiom1_1,negated_conjecture,
    member(x,universal_class),
    input ).

cnf(complement1,axiom,
    ( ~ member(X58,complement(X59))
    | ~ member(X58,X59) ),
    input ).

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

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

cnf(prove_corollary_to_unordered_pair_axiom1_2,negated_conjecture,
    unordered_pair(x,y) = null_class,
    input ).

cnf(c89,plain,
    subclass(unordered_pair(x,y),null_class),
    inference(resolution,status(thm),[prove_corollary_to_unordered_pair_axiom1_2,equal_implies_subclass1]) ).

cnf(unordered_pair2,axiom,
    ( ~ member(X49,universal_class)
    | member(X49,unordered_pair(X49,X48)) ),
    input ).

cnf(c63,plain,
    member(x,unordered_pair(x,X52)),
    inference(resolution,status(thm),[unordered_pair2,prove_corollary_to_unordered_pair_axiom1_1]) ).

cnf(c66,plain,
    ( ~ subclass(unordered_pair(x,X329),X330)
    | member(x,X330) ),
    inference(resolution,status(thm),[c63,subclass_members]) ).

cnf(c1708,plain,
    member(x,null_class),
    inference(resolution,status(thm),[c66,c89]) ).

cnf(c1711,plain,
    ( ~ subclass(null_class,X335)
    | member(x,X335) ),
    inference(resolution,status(thm),[c1708,subclass_members]) ).

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

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

cnf(regularity1,axiom,
    ( X121 = null_class
    | member(regular(X121),X121) ),
    input ).

cnf(c195,plain,
    ( X795 = null_class
    | ~ subclass(X795,X794)
    | member(regular(X795),X794) ),
    inference(resolution,status(thm),[regularity1,subclass_members]) ).

cnf(c6486,plain,
    ( X797 = null_class
    | member(regular(X797),universal_class) ),
    inference(resolution,status(thm),[c195,class_elements_are_sets]) ).

cnf(c198,plain,
    ( complement(X810) = null_class
    | ~ member(regular(complement(X810)),X810) ),
    inference(resolution,status(thm),[regularity1,complement1]) ).

cnf(c6985,plain,
    complement(universal_class) = null_class,
    inference(resolution,status(thm),[c198,c6486]) ).

cnf(c6993,plain,
    subclass(null_class,complement(universal_class)),
    inference(resolution,status(thm),[c6985,equal_implies_subclass2]) ).

cnf(c7031,plain,
    member(x,complement(universal_class)),
    inference(resolution,status(thm),[c6993,c1711]) ).

cnf(c7078,plain,
    ~ member(x,universal_class),
    inference(resolution,status(thm),[c7031,complement1]) ).

cnf(c7154,plain,
    $false,
    inference(resolution,status(thm),[c7078,prove_corollary_to_unordered_pair_axiom1_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET073-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n020.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 11:01:43 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 2.36/2.56  # Version:  1.3
% 2.36/2.56  # SZS status Unsatisfiable
% 2.36/2.56  # SZS output start CNFRefutation
% See solution above
% 2.36/2.56  
% 2.36/2.56  # Initial clauses    : 135
% 2.36/2.56  # Processed clauses  : 490
% 2.36/2.56  # Factors computed   : 1
% 2.36/2.56  # Resolvents computed: 7117
% 2.36/2.56  # Tautologies deleted: 9
% 2.36/2.56  # Forward subsumed   : 246
% 2.36/2.56  # Backward subsumed  : 1
% 2.36/2.56  # -------- CPU Time ---------
% 2.36/2.56  # User time          : 2.176 s
% 2.36/2.56  # System time        : 0.029 s
% 2.36/2.56  # Total time         : 2.205 s
%------------------------------------------------------------------------------