TSTP Solution File: SET096-7 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET096-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n022.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 04:35:39 EDT 2022

% Result   : Unsatisfiable 31.65s 31.85s
% Output   : Refutation 31.65s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_two_subsets_of_singleton_3,negated_conjecture,
    singleton(y) != x,
    input ).

cnf(subclass_implies_equal,axiom,
    ( ~ subclass(X28,X27)
    | ~ subclass(X27,X28)
    | X28 = X27 ),
    input ).

cnf(prove_two_subsets_of_singleton_1,negated_conjecture,
    subclass(x,singleton(y)),
    input ).

cnf(c59,plain,
    ( ~ subclass(singleton(y),x)
    | singleton(y) = x ),
    inference(resolution,status(thm),[prove_two_subsets_of_singleton_1,subclass_implies_equal]) ).

cnf(equal_implies_subclass2,axiom,
    ( X23 != X22
    | subclass(X22,X23) ),
    input ).

cnf(c2,plain,
    ( X313 != X314
    | singleton(X313) = singleton(X314) ),
    eq_axiom ).

cnf(only_member_in_singleton,axiom,
    ( ~ member(X94,singleton(X95))
    | X94 = X95 ),
    input ).

cnf(subclass_members,axiom,
    ( ~ subclass(X6,X5)
    | ~ member(X7,X6)
    | member(X7,X5) ),
    input ).

cnf(prove_two_subsets_of_singleton_2,negated_conjecture,
    x != null_class,
    input ).

cnf(regularity1,axiom,
    ( X167 = null_class
    | member(regular(X167),X167) ),
    input ).

cnf(c261,plain,
    member(regular(x),x),
    inference(resolution,status(thm),[regularity1,prove_two_subsets_of_singleton_2]) ).

cnf(c287,plain,
    ( ~ subclass(x,X435)
    | member(regular(x),X435) ),
    inference(resolution,status(thm),[c261,subclass_members]) ).

cnf(c1533,plain,
    member(regular(x),singleton(y)),
    inference(resolution,status(thm),[c287,prove_two_subsets_of_singleton_1]) ).

cnf(c1547,plain,
    regular(x) = y,
    inference(resolution,status(thm),[c1533,only_member_in_singleton]) ).

cnf(c1577,plain,
    singleton(regular(x)) = singleton(y),
    inference(resolution,status(thm),[c1547,c2]) ).

cnf(c4266,plain,
    subclass(singleton(y),singleton(regular(x))),
    inference(resolution,status(thm),[c1577,equal_implies_subclass2]) ).

cnf(property_of_singletons2,axiom,
    ( ~ member(X100,X99)
    | subclass(singleton(X100),X99) ),
    input ).

cnf(c285,plain,
    subclass(singleton(regular(x)),x),
    inference(resolution,status(thm),[c261,property_of_singletons2]) ).

cnf(transitivity_of_subclass,axiom,
    ( ~ subclass(X279,X278)
    | ~ subclass(X278,X280)
    | subclass(X279,X280) ),
    input ).

cnf(c690,plain,
    ( ~ subclass(X3498,singleton(regular(x)))
    | subclass(X3498,x) ),
    inference(resolution,status(thm),[transitivity_of_subclass,c285]) ).

cnf(c46861,plain,
    subclass(singleton(y),x),
    inference(resolution,status(thm),[c690,c4266]) ).

cnf(c46907,plain,
    singleton(y) = x,
    inference(resolution,status(thm),[c46861,c59]) ).

cnf(c46952,plain,
    $false,
    inference(resolution,status(thm),[c46907,prove_two_subsets_of_singleton_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SET096-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jul 10 09:01:10 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 31.65/31.85  # Version:  1.3
% 31.65/31.85  # SZS status Unsatisfiable
% 31.65/31.85  # SZS output start CNFRefutation
% See solution above
% 31.65/31.85  
% 31.65/31.85  # Initial clauses    : 186
% 31.65/31.85  # Processed clauses  : 1501
% 31.65/31.85  # Factors computed   : 6
% 31.65/31.85  # Resolvents computed: 46995
% 31.65/31.85  # Tautologies deleted: 13
% 31.65/31.85  # Forward subsumed   : 1678
% 31.65/31.85  # Backward subsumed  : 18
% 31.65/31.85  # -------- CPU Time ---------
% 31.65/31.85  # User time          : 31.397 s
% 31.65/31.85  # System time        : 0.100 s
% 31.65/31.85  # Total time         : 31.497 s
%------------------------------------------------------------------------------