TSTP Solution File: GRP659+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP659+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n017.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 : Sat Jul 16 09:03:07 EDT 2022
% Result : Theorem 0.25s 1.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 61 ( 54 unt; 0 def)
% Number of atoms : 68 ( 67 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 11 ~; 5 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 0 con; 1-2 aty)
% Number of variables : 132 ( 0 sgn 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f05,axiom,
! [X3,X1,X2] : mult(mult(X2,mult(X1,X3)),X1) = mult(mult(X2,X1),mult(X3,X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f05) ).
fof(f01,axiom,
! [X1,X2] : mult(X2,ld(X2,X1)) = X1,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f01) ).
fof(f02,axiom,
! [X1,X2] : ld(X2,mult(X2,X1)) = X1,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f02) ).
fof(f04,axiom,
! [X1,X2] : rd(mult(X2,X1),X1) = X2,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f04) ).
fof(f03,axiom,
! [X1,X2] : mult(rd(X2,X1),X1) = X2,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f03) ).
fof(goals,conjecture,
? [X4] :
! [X5] :
( mult(X5,X4) = X5
& mult(X4,X5) = X5 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(c_0_6,plain,
! [X4,X5,X6] : mult(mult(X6,mult(X5,X4)),X5) = mult(mult(X6,X5),mult(X4,X5)),
inference(variable_rename,[status(thm)],[f05]) ).
fof(c_0_7,plain,
! [X3,X4] : mult(X4,ld(X4,X3)) = X3,
inference(variable_rename,[status(thm)],[f01]) ).
fof(c_0_8,plain,
! [X3,X4] : ld(X4,mult(X4,X3)) = X3,
inference(variable_rename,[status(thm)],[f02]) ).
cnf(c_0_9,plain,
mult(mult(X1,mult(X2,X3)),X2) = mult(mult(X1,X2),mult(X3,X2)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
mult(X1,ld(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X3,X4] : rd(mult(X4,X3),X3) = X4,
inference(variable_rename,[status(thm)],[f04]) ).
cnf(c_0_12,plain,
ld(X1,mult(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
mult(mult(X1,X2),X3) = mult(mult(X1,X3),mult(ld(X3,X2),X3)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
rd(mult(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
ld(mult(X1,X2),mult(mult(X1,X3),X2)) = mult(ld(X2,X3),X2),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
rd(ld(mult(X1,X2),mult(mult(X1,X3),X2)),X2) = ld(X2,X3),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_17,plain,
! [X3,X4] : mult(rd(X4,X3),X3) = X4,
inference(variable_rename,[status(thm)],[f03]) ).
cnf(c_0_18,plain,
rd(mult(mult(X1,X2),mult(ld(X2,X3),X2)),X2) = mult(X1,X3),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_19,plain,
mult(ld(X1,X1),X1) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_15]) ).
cnf(c_0_20,plain,
ld(mult(X1,X2),mult(mult(X1,X3),mult(ld(X3,X2),X3))) = X3,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_21,plain,
rd(ld(mult(X1,X2),mult(X3,X2)),X2) = ld(X2,ld(X1,X3)),
inference(spm,[status(thm)],[c_0_16,c_0_10]) ).
cnf(c_0_22,plain,
mult(rd(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
rd(mult(mult(X1,X2),mult(X3,X2)),X2) = mult(X1,mult(X2,X3)),
inference(spm,[status(thm)],[c_0_18,c_0_12]) ).
cnf(c_0_24,plain,
ld(ld(X1,X1),X1) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_19]) ).
cnf(c_0_25,plain,
ld(mult(X1,mult(X2,X3)),mult(mult(X1,X2),mult(X3,X2))) = X2,
inference(spm,[status(thm)],[c_0_20,c_0_12]) ).
cnf(c_0_26,plain,
rd(ld(mult(X1,X2),X3),X2) = ld(X2,ld(X1,rd(X3,X2))),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,plain,
rd(mult(mult(X1,X2),X3),X2) = mult(X1,mult(X2,rd(X3,X2))),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_28,plain,
mult(mult(X1,X2),mult(ld(X2,ld(X2,X2)),X2)) = mult(mult(X1,X2),ld(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_24]),c_0_10]),c_0_13]) ).
cnf(c_0_29,plain,
ld(mult(rd(X1,X2),mult(X2,X3)),mult(X1,mult(X3,X2))) = X2,
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
cnf(c_0_30,plain,
rd(ld(X1,X2),X3) = ld(X3,ld(rd(X1,X3),rd(X2,X3))),
inference(spm,[status(thm)],[c_0_26,c_0_22]) ).
cnf(c_0_31,plain,
rd(mult(X1,X2),X3) = mult(rd(X1,X3),mult(X3,rd(X2,X3))),
inference(spm,[status(thm)],[c_0_27,c_0_22]) ).
cnf(c_0_32,plain,
rd(X1,X1) = ld(X1,X1),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_33,plain,
mult(ld(X1,ld(X1,X1)),X1) = ld(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_28]),c_0_12]) ).
cnf(c_0_34,plain,
rd(X1,ld(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_14,c_0_10]) ).
cnf(c_0_35,plain,
ld(mult(ld(X1,ld(X2,X2)),mult(X1,X2)),mult(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_19]),c_0_30]),c_0_31]),c_0_32]),c_0_10]),c_0_22]),c_0_31]),c_0_32]),c_0_10]),c_0_22]) ).
cnf(c_0_36,plain,
mult(ld(X1,ld(X2,X3)),X1) = ld(mult(X2,X1),mult(X3,X1)),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_37,plain,
ld(ld(X1,ld(X1,X1)),ld(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_33]) ).
cnf(c_0_38,plain,
mult(ld(X1,ld(X2,X2)),mult(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_31]),c_0_32]),c_0_10]),c_0_22]) ).
cnf(c_0_39,plain,
ld(ld(X1,ld(X2,X3)),ld(rd(X2,ld(X1,ld(X2,X3))),rd(X3,ld(X1,ld(X2,X3))))) = X1,
inference(spm,[status(thm)],[c_0_34,c_0_30]) ).
cnf(c_0_40,plain,
ld(ld(X1,X1),ld(X1,X1)) = ld(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_41,plain,
mult(X1,X2) = ld(ld(X1,ld(X2,X2)),X2),
inference(spm,[status(thm)],[c_0_12,c_0_38]) ).
cnf(c_0_42,plain,
ld(ld(X1,ld(X2,X2)),ld(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_30]),c_0_39]),c_0_30]),c_0_39]) ).
fof(c_0_43,negated_conjecture,
~ ? [X4] :
! [X5] :
( mult(X5,X4) = X5
& mult(X4,X5) = X5 ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_44,plain,
ld(ld(rd(X1,X2),ld(X2,X2)),X2) = X1,
inference(rw,[status(thm)],[c_0_22,c_0_41]) ).
cnf(c_0_45,plain,
ld(X1,ld(X1,X1)) = ld(X1,ld(X2,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_42]),c_0_30]),c_0_32]),c_0_32]),c_0_40]) ).
fof(c_0_46,negated_conjecture,
! [X6] :
( mult(esk1_1(X6),X6) != esk1_1(X6)
| mult(X6,esk2_1(X6)) != esk2_1(X6) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])]) ).
cnf(c_0_47,plain,
rd(X1,X2) = ld(rd(X2,X1),ld(X1,X1)),
inference(spm,[status(thm)],[c_0_34,c_0_44]) ).
cnf(c_0_48,plain,
ld(X1,ld(X2,X2)) = ld(X1,ld(X3,X3)),
inference(spm,[status(thm)],[c_0_45,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
( mult(X1,esk2_1(X1)) != esk2_1(X1)
| mult(esk1_1(X1),X1) != esk1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_50,plain,
ld(rd(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_12,c_0_22]) ).
cnf(c_0_51,plain,
rd(X1,X2) = ld(rd(X2,X1),ld(X3,X3)),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_52,negated_conjecture,
( ld(ld(X1,ld(esk2_1(X1),esk2_1(X1))),esk2_1(X1)) != esk2_1(X1)
| ld(ld(esk1_1(X1),ld(X1,X1)),X1) != esk1_1(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_41]),c_0_41]) ).
cnf(c_0_53,plain,
rd(X1,ld(X2,X2)) = X1,
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,negated_conjecture,
( ld(ld(X1,ld(X1,X1)),esk2_1(X1)) != esk2_1(X1)
| ld(ld(esk1_1(X1),ld(X1,X1)),X1) != esk1_1(X1) ),
inference(rw,[status(thm)],[c_0_52,c_0_45]) ).
cnf(c_0_55,plain,
ld(X1,X1) = ld(X2,X2),
inference(spm,[status(thm)],[c_0_50,c_0_53]) ).
cnf(c_0_56,plain,
ld(X1,ld(rd(rd(X2,X3),X1),rd(X2,X1))) = rd(X3,X1),
inference(spm,[status(thm)],[c_0_30,c_0_50]) ).
cnf(c_0_57,negated_conjecture,
( ld(ld(X1,ld(X2,X2)),esk2_1(X1)) != esk2_1(X1)
| ld(ld(esk1_1(X1),ld(X2,X2)),X1) != esk1_1(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,plain,
ld(ld(X1,ld(rd(X2,X1),rd(X3,X1))),ld(X2,X3)) = X1,
inference(spm,[status(thm)],[c_0_50,c_0_30]) ).
cnf(c_0_59,plain,
ld(ld(X1,X1),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_53]),c_0_53]),c_0_50]),c_0_53]) ).
cnf(c_0_60,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]),c_0_59])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP659+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 09:37:07 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.25/1.43 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.25/1.43 # Preprocessing time : 0.013 s
% 0.25/1.43
% 0.25/1.43 # Proof found!
% 0.25/1.43 # SZS status Theorem
% 0.25/1.43 # SZS output start CNFRefutation
% See solution above
% 0.25/1.43 # Proof object total steps : 61
% 0.25/1.43 # Proof object clause steps : 48
% 0.25/1.43 # Proof object formula steps : 13
% 0.25/1.43 # Proof object conjectures : 8
% 0.25/1.43 # Proof object clause conjectures : 5
% 0.25/1.43 # Proof object formula conjectures : 3
% 0.25/1.43 # Proof object initial clauses used : 6
% 0.25/1.43 # Proof object initial formulas used : 6
% 0.25/1.43 # Proof object generating inferences : 39
% 0.25/1.43 # Proof object simplifying inferences : 37
% 0.25/1.43 # Training examples: 0 positive, 0 negative
% 0.25/1.43 # Parsed axioms : 6
% 0.25/1.43 # Removed by relevancy pruning/SinE : 0
% 0.25/1.43 # Initial clauses : 6
% 0.25/1.43 # Removed in clause preprocessing : 0
% 0.25/1.43 # Initial clauses in saturation : 6
% 0.25/1.43 # Processed clauses : 819
% 0.25/1.43 # ...of these trivial : 141
% 0.25/1.43 # ...subsumed : 414
% 0.25/1.43 # ...remaining for further processing : 264
% 0.25/1.43 # Other redundant clauses eliminated : 0
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 5
% 0.25/1.43 # Backward-rewritten : 230
% 0.25/1.43 # Generated clauses : 48319
% 0.25/1.43 # ...of the previous two non-trivial : 45880
% 0.25/1.43 # Contextual simplify-reflections : 0
% 0.25/1.43 # Paramodulations : 48319
% 0.25/1.43 # Factorizations : 0
% 0.25/1.43 # Equation resolutions : 0
% 0.25/1.43 # Current number of processed clauses : 29
% 0.25/1.43 # Positive orientable unit clauses : 23
% 0.25/1.43 # Positive unorientable unit clauses: 5
% 0.25/1.43 # Negative unit clauses : 0
% 0.25/1.43 # Non-unit-clauses : 1
% 0.25/1.43 # Current number of unprocessed clauses: 1044
% 0.25/1.43 # ...number of literals in the above : 1048
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 235
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 2
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 2
% 0.25/1.43 # Non-unit clause-clause subsumptions : 1
% 0.25/1.43 # Unit Clause-clause subsumption calls : 297
% 0.25/1.43 # Rewrite failures with RHS unbound : 1051
% 0.25/1.43 # BW rewrite match attempts : 3064
% 0.25/1.43 # BW rewrite match successes : 860
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 1219287
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.776 s
% 0.25/1.43 # System time : 0.030 s
% 0.25/1.43 # Total time : 0.806 s
% 0.25/1.43 # Maximum resident set size: 41564 pages
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.43 eprover: CPU time limit exceeded, terminating
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------