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