%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET064-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 17:39:04 EDT 2024
% Result : Unsatisfiable 2.34s 2.60s
% Output : Refutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 12 unt; 4 nHn; 18 RR)
% Number of literals : 34 ( 7 equ; 12 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
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(prove_null_class_is_unique_1,negated_conjecture,
z != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_unique_1) ).
cnf(regularity1,axiom,
( X122 = null_class
| member(regular(X122),X122) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c171,plain,
member(regular(z),z),
inference(resolution,[status(thm)],[regularity1,prove_null_class_is_unique_1]) ).
cnf(c190,plain,
( ~ subclass(z,X279)
| member(regular(z),X279) ),
inference(resolution,[status(thm)],[c171,subclass_members]) ).
cnf(c899,plain,
member(regular(z),universal_class),
inference(resolution,[status(thm)],[c190,class_elements_are_sets]) ).
cnf(complement1,axiom,
( ~ member(X58,complement(X57))
| ~ member(X58,X57) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X13,X12),X13)
| subclass(X13,X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(prove_null_class_is_unique_2,negated_conjecture,
~ member(not_subclass_element(z,null_class),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_is_unique_2) ).
cnf(c81,plain,
subclass(z,null_class),
inference(resolution,[status(thm)],[prove_null_class_is_unique_2,not_subclass_members1]) ).
cnf(c900,plain,
member(regular(z),null_class),
inference(resolution,[status(thm)],[c190,c81]) ).
cnf(c915,plain,
( ~ subclass(null_class,X325)
| member(regular(z),X325) ),
inference(resolution,[status(thm)],[c900,subclass_members]) ).
cnf(equal_implies_subclass2,axiom,
( X15 != X14
| subclass(X14,X15) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).
cnf(c181,plain,
( complement(X796) = null_class
| ~ member(regular(complement(X796)),X796) ),
inference(resolution,[status(thm)],[regularity1,complement1]) ).
cnf(c182,plain,
( X803 = null_class
| ~ subclass(X803,X804)
| member(regular(X803),X804) ),
inference(resolution,[status(thm)],[regularity1,subclass_members]) ).
cnf(c6222,plain,
( X807 = null_class
| member(regular(X807),universal_class) ),
inference(resolution,[status(thm)],[c182,class_elements_are_sets]) ).
cnf(c6353,plain,
complement(universal_class) = null_class,
inference(resolution,[status(thm)],[c6222,c181]) ).
cnf(c6406,plain,
subclass(null_class,complement(universal_class)),
inference(resolution,[status(thm)],[c6353,equal_implies_subclass2]) ).
cnf(c6530,plain,
member(regular(z),complement(universal_class)),
inference(resolution,[status(thm)],[c6406,c915]) ).
cnf(c6845,plain,
~ member(regular(z),universal_class),
inference(resolution,[status(thm)],[c6530,complement1]) ).
cnf(c6865,plain,
$false,
inference(resolution,[status(thm)],[c6845,c899]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET064-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n012.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 18:23:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 2.34/2.60 % Version: 1.5
% 2.34/2.60 % SZS status Unsatisfiable
% 2.34/2.60 % SZS output start CNFRefutation
% See solution above
% 2.34/2.60
% 2.34/2.60 % Initial clauses : 135
% 2.34/2.60 % Processed clauses : 480
% 2.34/2.60 % Factors computed : 31
% 2.34/2.60 % Resolvents computed: 6796
% 2.34/2.60 % Tautologies deleted: 9
% 2.34/2.60 % Forward subsumed : 281
% 2.34/2.60 % Backward subsumed : 4
% 2.34/2.60 % -------- CPU Time ---------
% 2.34/2.60 % User time : 2.202 s
% 2.34/2.60 % System time : 0.026 s
% 2.34/2.60 % Total time : 2.228 s
%------------------------------------------------------------------------------