%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET261-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 : 300s
% DateTime : Thu May 9 17:39:26 EDT 2024
% Result : Unsatisfiable 62.67s 62.87s
% Output : Refutation 62.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of clauses : 39 ( 17 unt; 7 nHn; 24 RR)
% Number of literals : 66 ( 32 equ; 24 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 60 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_domain_of_null_class_1,negated_conjecture,
domain_of(null_class) != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_null_class_1) ).
cnf(c12,axiom,
( X224 != X225
| domain_of(X224) = domain_of(X225) ),
theory(equality) ).
cnf(symmetry,axiom,
( X40 != X39
| X39 = X40 ),
theory(equality) ).
cnf(class_elements_are_sets,axiom,
subclass(X3,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(subclass_members,axiom,
( ~ subclass(X5,X4)
| ~ member(X6,X5)
| member(X6,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(regularity1,axiom,
( X125 = null_class
| member(regular(X125),X125) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c184,plain,
( X939 = null_class
| ~ subclass(X939,X938)
| member(regular(X939),X938) ),
inference(resolution,[status(thm)],[regularity1,subclass_members]) ).
cnf(c6946,plain,
( X941 = null_class
| member(regular(X941),universal_class) ),
inference(resolution,[status(thm)],[c184,class_elements_are_sets]) ).
cnf(complement1,axiom,
( ~ member(X60,complement(X61))
| ~ member(X60,X61) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(c188,plain,
( complement(X961) = null_class
| ~ member(regular(complement(X961)),X961) ),
inference(resolution,[status(thm)],[regularity1,complement1]) ).
cnf(c7660,plain,
complement(universal_class) = null_class,
inference(resolution,[status(thm)],[c188,c6946]) ).
cnf(c7705,plain,
null_class = complement(universal_class),
inference(resolution,[status(thm)],[c7660,symmetry]) ).
cnf(c7789,plain,
domain_of(null_class) = domain_of(complement(universal_class)),
inference(resolution,[status(thm)],[c7705,c12]) ).
cnf(transitivity,axiom,
( X203 != X201
| X201 != X202
| X203 = X202 ),
theory(equality) ).
cnf(domain1,axiom,
( restrict(X166,singleton(X165),universal_class) != null_class
| ~ member(X165,domain_of(X166)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',domain1) ).
cnf(c7662,plain,
( X969 != complement(universal_class)
| X969 = null_class ),
inference(resolution,[status(thm)],[c7660,transitivity]) ).
cnf(not_subclass_members2,axiom,
( ~ member(not_subclass_element(X22,X21),X21)
| subclass(X22,X21) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X15,X14),X15)
| subclass(X15,X14) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(intersection2,axiom,
( ~ member(X118,intersection(X119,X117))
| member(X118,X117) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(c153,plain,
( member(not_subclass_element(intersection(X869,X867),X868),X867)
| subclass(intersection(X869,X867),X868) ),
inference(resolution,[status(thm)],[intersection2,not_subclass_members1]) ).
cnf(c6514,plain,
subclass(intersection(X871,X870),X870),
inference(resolution,[status(thm)],[c153,not_subclass_members2]) ).
cnf(subclass_implies_equal,axiom,
( ~ subclass(X32,X31)
| ~ subclass(X31,X32)
| X32 = X31 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(c47,plain,
( subclass(X691,X689)
| ~ subclass(X691,X690)
| member(not_subclass_element(X691,X689),X690) ),
inference(resolution,[status(thm)],[not_subclass_members1,subclass_members]) ).
cnf(c4383,plain,
( subclass(X694,X695)
| member(not_subclass_element(X694,X695),universal_class) ),
inference(resolution,[status(thm)],[c47,class_elements_are_sets]) ).
cnf(c78,plain,
( ~ member(not_subclass_element(complement(X749),X748),X749)
| subclass(complement(X749),X748) ),
inference(resolution,[status(thm)],[complement1,not_subclass_members1]) ).
cnf(c4907,plain,
subclass(complement(universal_class),X750),
inference(resolution,[status(thm)],[c78,c4383]) ).
cnf(c4908,plain,
( ~ subclass(X1478,complement(universal_class))
| X1478 = complement(universal_class) ),
inference(resolution,[status(thm)],[c4907,subclass_implies_equal]) ).
cnf(c27788,plain,
intersection(X1480,complement(universal_class)) = complement(universal_class),
inference(resolution,[status(thm)],[c4908,c6514]) ).
cnf(c27880,plain,
intersection(X1481,complement(universal_class)) = null_class,
inference(resolution,[status(thm)],[c27788,c7662]) ).
cnf(c27898,plain,
null_class = intersection(X1483,complement(universal_class)),
inference(resolution,[status(thm)],[c27880,symmetry]) ).
cnf(restriction2,axiom,
intersection(cross_product(X163,X162),X164) = restrict(X164,X163,X162),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',restriction2) ).
cnf(c507,plain,
( X1845 != intersection(cross_product(X1846,X1847),X1848)
| X1845 = restrict(X1848,X1846,X1847) ),
inference(resolution,[status(thm)],[transitivity,restriction2]) ).
cnf(c39191,plain,
null_class = restrict(complement(universal_class),X1876,X1875),
inference(resolution,[status(thm)],[c507,c27898]) ).
cnf(c39875,plain,
restrict(complement(universal_class),X1893,X1894) = null_class,
inference(resolution,[status(thm)],[c39191,symmetry]) ).
cnf(c40410,plain,
~ member(X1895,domain_of(complement(universal_class))),
inference(resolution,[status(thm)],[c39875,domain1]) ).
cnf(c40438,plain,
domain_of(complement(universal_class)) = null_class,
inference(resolution,[status(thm)],[c40410,regularity1]) ).
cnf(c40553,plain,
( X3330 != domain_of(complement(universal_class))
| X3330 = null_class ),
inference(resolution,[status(thm)],[c40438,transitivity]) ).
cnf(c76750,plain,
domain_of(null_class) = null_class,
inference(resolution,[status(thm)],[c40553,c7789]) ).
cnf(c76913,plain,
$false,
inference(resolution,[status(thm)],[c76750,prove_domain_of_null_class_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET261-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed May 8 19:05:08 EDT 2024
% 0.14/0.34 % CPUTime :
% 62.67/62.87 % Version: 1.5
% 62.67/62.87 % SZS status Unsatisfiable
% 62.67/62.87 % SZS output start CNFRefutation
% See solution above
% 62.67/62.87
% 62.67/62.87 % Initial clauses : 160
% 62.67/62.87 % Processed clauses : 2368
% 62.67/62.87 % Factors computed : 33
% 62.67/62.87 % Resolvents computed: 76882
% 62.67/62.87 % Tautologies deleted: 16
% 62.67/62.87 % Forward subsumed : 1405
% 62.67/62.87 % Backward subsumed : 41
% 62.67/62.87 % -------- CPU Time ---------
% 62.67/62.87 % User time : 62.332 s
% 62.67/62.87 % System time : 0.180 s
% 62.67/62.87 % Total time : 62.512 s
%------------------------------------------------------------------------------