%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET079-6 : 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 17:39:07 EDT 2024
% Result : Unsatisfiable 3.44s 3.67s
% Output : Refutation 3.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 26 ( 13 unt; 3 nHn; 20 RR)
% Number of literals : 42 ( 15 equ; 15 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_corollary_to_set_in_its_singleton_1,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_set_in_its_singleton_1) ).
cnf(complement1,axiom,
( ~ member(X66,complement(X65))
| ~ member(X66,X65) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(subclass_members,axiom,
( ~ subclass(X4,X5)
| ~ member(X6,X4)
| member(X6,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(equal_implies_subclass1,axiom,
( X9 != X10
| subclass(X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).
cnf(singleton_set,axiom,
unordered_pair(X46,X46) = singleton(X46),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(prove_corollary_to_set_in_its_singleton_2,negated_conjecture,
singleton(x) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_set_in_its_singleton_2) ).
cnf(transitivity,axiom,
( X204 != X205
| X205 != X206
| X204 = X206 ),
theory(equality) ).
cnf(c624,plain,
( X348 != singleton(x)
| X348 = null_class ),
inference(resolution,[status(thm)],[transitivity,prove_corollary_to_set_in_its_singleton_2]) ).
cnf(c1745,plain,
unordered_pair(x,x) = null_class,
inference(resolution,[status(thm)],[c624,singleton_set]) ).
cnf(c1760,plain,
subclass(unordered_pair(x,x),null_class),
inference(resolution,[status(thm)],[c1745,equal_implies_subclass1]) ).
cnf(unordered_pair2,axiom,
( ~ member(X44,universal_class)
| member(X44,unordered_pair(X44,X45)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(c65,plain,
member(x,unordered_pair(x,X47)),
inference(resolution,[status(thm)],[unordered_pair2,prove_corollary_to_set_in_its_singleton_1]) ).
cnf(c71,plain,
( ~ subclass(unordered_pair(x,X464),X465)
| member(x,X465) ),
inference(resolution,[status(thm)],[c65,subclass_members]) ).
cnf(c3896,plain,
member(x,null_class),
inference(resolution,[status(thm)],[c71,c1760]) ).
cnf(c3907,plain,
( ~ subclass(null_class,X469)
| member(x,X469) ),
inference(resolution,[status(thm)],[c3896,subclass_members]) ).
cnf(equal_implies_subclass2,axiom,
( X14 != X15
| subclass(X15,X14) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).
cnf(regularity1,axiom,
( X129 = null_class
| member(regular(X129),X129) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(c226,plain,
( complement(X848) = null_class
| ~ member(regular(complement(X848)),X848) ),
inference(resolution,[status(thm)],[regularity1,complement1]) ).
cnf(class_elements_are_sets,axiom,
subclass(X3,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(c233,plain,
( X891 = null_class
| ~ subclass(X891,X892)
| member(regular(X891),X892) ),
inference(resolution,[status(thm)],[regularity1,subclass_members]) ).
cnf(c9959,plain,
( X900 = null_class
| member(regular(X900),universal_class) ),
inference(resolution,[status(thm)],[c233,class_elements_are_sets]) ).
cnf(c10143,plain,
complement(universal_class) = null_class,
inference(resolution,[status(thm)],[c9959,c226]) ).
cnf(c10187,plain,
subclass(null_class,complement(universal_class)),
inference(resolution,[status(thm)],[c10143,equal_implies_subclass2]) ).
cnf(c10212,plain,
member(x,complement(universal_class)),
inference(resolution,[status(thm)],[c10187,c3907]) ).
cnf(c10260,plain,
~ member(x,universal_class),
inference(resolution,[status(thm)],[c10212,complement1]) ).
cnf(c10280,plain,
$false,
inference(resolution,[status(thm)],[c10260,prove_corollary_to_set_in_its_singleton_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET079-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed May 8 18:23:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 3.44/3.67 % Version: 1.5
% 3.44/3.67 % SZS status Unsatisfiable
% 3.44/3.67 % SZS output start CNFRefutation
% See solution above
% 3.44/3.67
% 3.44/3.67 % Initial clauses : 135
% 3.44/3.67 % Processed clauses : 619
% 3.44/3.67 % Factors computed : 30
% 3.44/3.67 % Resolvents computed: 10213
% 3.44/3.67 % Tautologies deleted: 10
% 3.44/3.67 % Forward subsumed : 377
% 3.44/3.67 % Backward subsumed : 2
% 3.44/3.67 % -------- CPU Time ---------
% 3.44/3.67 % User time : 3.287 s
% 3.44/3.67 % System time : 0.030 s
% 3.44/3.67 % Total time : 3.317 s
%------------------------------------------------------------------------------