TSTP Solution File: SET261-6 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET261-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n018.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 04:36:55 EDT 2022

% Result   : Unsatisfiable 55.24s 55.47s
% Output   : Refutation 55.24s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_domain_of_null_class_1,negated_conjecture,
    domain_of(null_class) != null_class,
    input ).

cnf(c12,plain,
    ( X216 != X215
    | domain_of(X216) = domain_of(X215) ),
    eq_axiom ).

cnf(symmetry,axiom,
    ( X40 != X39
    | X39 = X40 ),
    eq_axiom ).

cnf(complement1,axiom,
    ( ~ member(X60,complement(X59))
    | ~ member(X60,X59) ),
    input ).

cnf(regularity1,axiom,
    ( X124 = null_class
    | member(regular(X124),X124) ),
    input ).

cnf(c180,plain,
    ( complement(X946) = null_class
    | ~ member(regular(complement(X946)),X946) ),
    inference(resolution,status(thm),[regularity1,complement1]) ).

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

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

cnf(c181,plain,
    ( X951 = null_class
    | ~ subclass(X951,X952)
    | member(regular(X951),X952) ),
    inference(resolution,status(thm),[regularity1,subclass_members]) ).

cnf(c8459,plain,
    ( X954 = null_class
    | member(regular(X954),universal_class) ),
    inference(resolution,status(thm),[c181,class_elements_are_sets]) ).

cnf(c8551,plain,
    complement(universal_class) = null_class,
    inference(resolution,status(thm),[c8459,c180]) ).

cnf(c8590,plain,
    null_class = complement(universal_class),
    inference(resolution,status(thm),[c8551,symmetry]) ).

cnf(c8707,plain,
    domain_of(null_class) = domain_of(complement(universal_class)),
    inference(resolution,status(thm),[c8590,c12]) ).

cnf(transitivity,axiom,
    ( X194 != X193
    | X193 != X195
    | X194 = X195 ),
    eq_axiom ).

cnf(domain1,axiom,
    ( restrict(X169,singleton(X170),universal_class) != null_class
    | ~ member(X170,domain_of(X169)) ),
    input ).

cnf(c8587,plain,
    ( X972 != complement(universal_class)
    | X972 = null_class ),
    inference(resolution,status(thm),[c8551,transitivity]) ).

cnf(not_subclass_members2,axiom,
    ( ~ member(not_subclass_element(X22,X21),X21)
    | subclass(X22,X21) ),
    input ).

cnf(not_subclass_members1,axiom,
    ( member(not_subclass_element(X15,X14),X15)
    | subclass(X15,X14) ),
    input ).

cnf(intersection1,axiom,
    ( ~ member(X115,intersection(X114,X113))
    | member(X115,X114) ),
    input ).

cnf(c150,plain,
    ( member(not_subclass_element(intersection(X890,X891),X892),X890)
    | subclass(intersection(X890,X891),X892) ),
    inference(resolution,status(thm),[intersection1,not_subclass_members1]) ).

cnf(c7730,plain,
    subclass(intersection(X894,X893),X894),
    inference(resolution,status(thm),[c150,not_subclass_members2]) ).

cnf(subclass_implies_equal,axiom,
    ( ~ subclass(X32,X31)
    | ~ subclass(X31,X32)
    | X32 = X31 ),
    input ).

cnf(c47,plain,
    ( subclass(X702,X704)
    | ~ subclass(X702,X703)
    | member(not_subclass_element(X702,X704),X703) ),
    inference(resolution,status(thm),[not_subclass_members1,subclass_members]) ).

cnf(c4244,plain,
    ( subclass(X707,X708)
    | member(not_subclass_element(X707,X708),universal_class) ),
    inference(resolution,status(thm),[c47,class_elements_are_sets]) ).

cnf(c77,plain,
    ( ~ member(not_subclass_element(complement(X740),X741),X740)
    | subclass(complement(X740),X741) ),
    inference(resolution,status(thm),[complement1,not_subclass_members1]) ).

cnf(c4745,plain,
    subclass(complement(universal_class),X742),
    inference(resolution,status(thm),[c77,c4244]) ).

cnf(c4746,plain,
    ( ~ subclass(X1276,complement(universal_class))
    | X1276 = complement(universal_class) ),
    inference(resolution,status(thm),[c4745,subclass_implies_equal]) ).

cnf(c20018,plain,
    intersection(complement(universal_class),X1291) = complement(universal_class),
    inference(resolution,status(thm),[c4746,c7730]) ).

cnf(c20647,plain,
    intersection(complement(universal_class),X1292) = null_class,
    inference(resolution,status(thm),[c20018,c8587]) ).

cnf(c20696,plain,
    null_class = intersection(complement(universal_class),X1298),
    inference(resolution,status(thm),[c20647,symmetry]) ).

cnf(restriction1,axiom,
    intersection(X155,cross_product(X154,X153)) = restrict(X155,X154,X153),
    input ).

cnf(c456,plain,
    ( X1812 != intersection(X1811,cross_product(X1813,X1814))
    | X1812 = restrict(X1811,X1813,X1814) ),
    inference(resolution,status(thm),[transitivity,restriction1]) ).

cnf(c33219,plain,
    null_class = restrict(complement(universal_class),X1880,X1879),
    inference(resolution,status(thm),[c456,c20696]) ).

cnf(c34576,plain,
    restrict(complement(universal_class),X1897,X1898) = null_class,
    inference(resolution,status(thm),[c33219,symmetry]) ).

cnf(c34994,plain,
    ~ member(X1899,domain_of(complement(universal_class))),
    inference(resolution,status(thm),[c34576,domain1]) ).

cnf(c35061,plain,
    domain_of(complement(universal_class)) = null_class,
    inference(resolution,status(thm),[c34994,regularity1]) ).

cnf(c35227,plain,
    ( X3264 != domain_of(complement(universal_class))
    | X3264 = null_class ),
    inference(resolution,status(thm),[c35061,transitivity]) ).

cnf(c67602,plain,
    domain_of(null_class) = null_class,
    inference(resolution,status(thm),[c35227,c8707]) ).

cnf(c67707,plain,
    $false,
    inference(resolution,status(thm),[c67602,prove_domain_of_null_class_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET261-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n018.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 17:28:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 55.24/55.47  # Version:  1.3
% 55.24/55.47  # SZS status Unsatisfiable
% 55.24/55.47  # SZS output start CNFRefutation
% See solution above
% 55.24/55.47  
% 55.24/55.47  # Initial clauses    : 160
% 55.24/55.47  # Processed clauses  : 2331
% 55.24/55.47  # Factors computed   : 5
% 55.24/55.47  # Resolvents computed: 67681
% 55.24/55.47  # Tautologies deleted: 15
% 55.24/55.47  # Forward subsumed   : 1309
% 55.24/55.47  # Backward subsumed  : 27
% 55.24/55.47  # -------- CPU Time ---------
% 55.24/55.47  # User time          : 54.952 s
% 55.24/55.47  # System time        : 0.178 s
% 55.24/55.47  # Total time         : 55.130 s
%------------------------------------------------------------------------------