TSTP Solution File: SWW185+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW185+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n021.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 : Thu Jul 21 00:10:15 EDT 2022
% Result : Theorem 0.33s 1.51s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 15 unt; 0 def)
% Number of atoms : 42 ( 30 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 35 ( 4 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_offset__poly__pCons,axiom,
! [X4,X25,X6,X5] :
( class_Rings_Ocomm__semiring__0(X5)
=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X5,c_Polynomial_OpCons(X5,X6,X25),X4) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X4,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X5,X25,X4)),c_Polynomial_OpCons(X5,X6,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X5,X25,X4))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_offset__poly__pCons) ).
fof(fact_offset__poly__eq__0__lemma,axiom,
! [X6,X25,X23,X5] :
( class_Rings_Ocomm__semiring__0(X5)
=> ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X23,X25),c_Polynomial_OpCons(X5,X6,X25)) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))
=> X25 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_offset__poly__eq__0__lemma) ).
fof(conj_1,hypothesis,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(tfree_0,hypothesis,
class_Rings_Ocomm__semiring__0(t_a),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',tfree_0) ).
fof(conj_0,hypothesis,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
=> v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(conj_2,conjecture,
c_Polynomial_OpCons(t_a,v_a,v_p) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_2) ).
fof(fact_offset__poly__single,axiom,
! [X4,X6,X5] :
( class_Rings_Ocomm__semiring__0(X5)
=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X5,c_Polynomial_OpCons(X5,X6,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))),X4) = c_Polynomial_OpCons(X5,X6,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_offset__poly__single) ).
fof(c_0_7,plain,
! [X26,X27,X28,X29] :
( ~ class_Rings_Ocomm__semiring__0(X29)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X29,c_Polynomial_OpCons(X29,X28,X27),X26) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X29),c_Polynomial_Osmult(X29,X26,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X29,X27,X26)),c_Polynomial_OpCons(X29,X28,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X29,X27,X26))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_offset__poly__pCons])]) ).
fof(c_0_8,plain,
! [X26,X27,X28,X29] :
( ~ class_Rings_Ocomm__semiring__0(X29)
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X29),c_Polynomial_Osmult(X29,X28,X27),c_Polynomial_OpCons(X29,X26,X27)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X29))
| X27 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X29)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_offset__poly__eq__0__lemma])]) ).
cnf(c_0_9,hypothesis,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(split_conjunct,[status(thm)],[conj_1]) ).
cnf(c_0_10,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,c_Polynomial_OpCons(X1,X2,X3),X4) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X4,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X3,X4)),c_Polynomial_OpCons(X1,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X3,X4)))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,hypothesis,
class_Rings_Ocomm__semiring__0(t_a),
inference(split_conjunct,[status(thm)],[tfree_0]) ).
fof(c_0_12,hypothesis,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(fof_nnf,[status(thm)],[conj_0]) ).
cnf(c_0_13,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),c_Polynomial_Osmult(X2,X3,X1),c_Polynomial_OpCons(X2,X4,X1)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,hypothesis,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
fof(c_0_15,negated_conjecture,
c_Polynomial_OpCons(t_a,v_a,v_p) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(assume_negation,[status(cth)],[conj_2]) ).
cnf(c_0_16,hypothesis,
( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,hypothesis,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_11])]) ).
fof(c_0_18,plain,
! [X7,X8,X9] :
( ~ class_Rings_Ocomm__semiring__0(X9)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X9,c_Polynomial_OpCons(X9,X8,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X9))),X7) = c_Polynomial_OpCons(X9,X8,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X9))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_offset__poly__single])]) ).
fof(c_0_19,negated_conjecture,
c_Polynomial_OpCons(t_a,v_a,v_p) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
cnf(c_0_20,hypothesis,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = v_p,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).
cnf(c_0_21,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,c_Polynomial_OpCons(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X3) = c_Polynomial_OpCons(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
c_Polynomial_OpCons(t_a,v_a,v_p) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,hypothesis,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h) = v_p,
inference(rw,[status(thm)],[c_0_9,c_0_20]) ).
cnf(c_0_24,hypothesis,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X1,v_p),X2) = c_Polynomial_OpCons(t_a,X1,v_p),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_20]),c_0_11])]) ).
cnf(c_0_25,negated_conjecture,
c_Polynomial_OpCons(t_a,v_a,v_p) != v_p,
inference(rw,[status(thm)],[c_0_22,c_0_20]) ).
cnf(c_0_26,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW185+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n021.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 Jun 5 16:37:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.33/1.51 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.33/1.51 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.33/1.51 # Preprocessing time : 0.059 s
% 0.33/1.51
% 0.33/1.51 # Proof found!
% 0.33/1.51 # SZS status Theorem
% 0.33/1.51 # SZS output start CNFRefutation
% See solution above
% 0.33/1.51 # Proof object total steps : 27
% 0.33/1.51 # Proof object clause steps : 14
% 0.33/1.51 # Proof object formula steps : 13
% 0.33/1.51 # Proof object conjectures : 5
% 0.33/1.51 # Proof object clause conjectures : 2
% 0.33/1.51 # Proof object formula conjectures : 3
% 0.33/1.51 # Proof object initial clauses used : 7
% 0.33/1.51 # Proof object initial formulas used : 7
% 0.33/1.51 # Proof object generating inferences : 3
% 0.33/1.51 # Proof object simplifying inferences : 12
% 0.33/1.51 # Training examples: 0 positive, 0 negative
% 0.33/1.51 # Parsed axioms : 1183
% 0.33/1.51 # Removed by relevancy pruning/SinE : 1082
% 0.33/1.51 # Initial clauses : 135
% 0.33/1.51 # Removed in clause preprocessing : 7
% 0.33/1.51 # Initial clauses in saturation : 128
% 0.33/1.51 # Processed clauses : 170
% 0.33/1.51 # ...of these trivial : 8
% 0.33/1.51 # ...subsumed : 28
% 0.33/1.51 # ...remaining for further processing : 134
% 0.33/1.51 # Other redundant clauses eliminated : 6
% 0.33/1.51 # Clauses deleted for lack of memory : 0
% 0.33/1.51 # Backward-subsumed : 2
% 0.33/1.51 # Backward-rewritten : 7
% 0.33/1.51 # Generated clauses : 1478
% 0.33/1.51 # ...of the previous two non-trivial : 1319
% 0.33/1.51 # Contextual simplify-reflections : 1
% 0.33/1.51 # Paramodulations : 1465
% 0.33/1.51 # Factorizations : 0
% 0.33/1.51 # Equation resolutions : 13
% 0.33/1.51 # Current number of processed clauses : 125
% 0.33/1.51 # Positive orientable unit clauses : 24
% 0.33/1.51 # Positive unorientable unit clauses: 3
% 0.33/1.51 # Negative unit clauses : 5
% 0.33/1.51 # Non-unit-clauses : 93
% 0.33/1.51 # Current number of unprocessed clauses: 1254
% 0.33/1.51 # ...number of literals in the above : 2863
% 0.33/1.51 # Current number of archived formulas : 0
% 0.33/1.51 # Current number of archived clauses : 9
% 0.33/1.51 # Clause-clause subsumption calls (NU) : 721
% 0.33/1.51 # Rec. Clause-clause subsumption calls : 716
% 0.33/1.51 # Non-unit clause-clause subsumptions : 19
% 0.33/1.51 # Unit Clause-clause subsumption calls : 71
% 0.33/1.51 # Rewrite failures with RHS unbound : 0
% 0.33/1.51 # BW rewrite match attempts : 65
% 0.33/1.51 # BW rewrite match successes : 16
% 0.33/1.51 # Condensation attempts : 0
% 0.33/1.51 # Condensation successes : 0
% 0.33/1.51 # Termbank termtop insertions : 49131
% 0.33/1.51
% 0.33/1.51 # -------------------------------------------------
% 0.33/1.51 # User time : 0.087 s
% 0.33/1.51 # System time : 0.005 s
% 0.33/1.51 # Total time : 0.092 s
% 0.33/1.51 # Maximum resident set size: 6120 pages
% 0.33/23.51 eprover: CPU time limit exceeded, terminating
% 0.33/23.51 eprover: CPU time limit exceeded, terminating
% 0.33/23.52 eprover: CPU time limit exceeded, terminating
% 0.33/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.53 eprover: No such file or directory
% 0.33/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.53 eprover: No such file or directory
% 0.33/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.53 eprover: No such file or directory
% 0.33/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.54 eprover: No such file or directory
% 0.33/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.54 eprover: No such file or directory
% 0.33/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.54 eprover: No such file or directory
% 0.33/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.54 eprover: No such file or directory
% 0.33/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.54 eprover: No such file or directory
% 0.33/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.54 eprover: No such file or directory
% 0.33/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.54 eprover: No such file or directory
% 0.33/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.55 eprover: No such file or directory
% 0.33/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.55 eprover: No such file or directory
% 0.33/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.55 eprover: No such file or directory
% 0.33/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.55 eprover: No such file or directory
% 0.33/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.55 eprover: No such file or directory
% 0.33/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.56 eprover: No such file or directory
% 0.33/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.56 eprover: No such file or directory
% 0.33/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.56 eprover: No such file or directory
% 0.33/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.56 eprover: No such file or directory
% 0.33/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.56 eprover: No such file or directory
% 0.33/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.56 eprover: No such file or directory
% 0.33/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.57 eprover: No such file or directory
% 0.33/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.57 eprover: No such file or directory
% 0.33/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.57 eprover: No such file or directory
% 0.33/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.57 eprover: No such file or directory
% 0.33/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.57 eprover: No such file or directory
% 0.33/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.57 eprover: No such file or directory
% 0.33/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.57 eprover: No such file or directory
% 0.33/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.58 eprover: No such file or directory
% 0.33/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.58 eprover: No such file or directory
% 0.33/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.33/23.58 eprover: No such file or directory
% 0.33/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.58 eprover: No such file or directory
% 0.33/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.33/23.59 eprover: No such file or directory
%------------------------------------------------------------------------------