TSTP Solution File: TOP026+4 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : TOP026+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n028.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 21:25:29 EDT 2022
% Result : Theorem 1.94s 6.12s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 110 ( 12 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 123 ( 45 ~; 41 |; 19 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 41 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t7_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> k6_pre_topc(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k6_pre_topc(X1,X3))) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t7_tsp_2) ).
fof(t64_tex_4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k6_pre_topc(X1,k3_tex_4(X1,X2)) = k6_pre_topc(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+405.ax',t64_tex_4) ).
fof(dt_k3_tex_4,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k3_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+405.ax',dt_k3_tex_4) ).
fof(dt_k6_pre_topc,axiom,
! [X1,X2] :
( ( l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+206.ax',dt_k6_pre_topc) ).
fof(t5_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v4_pre_topc(X3,X1)
=> X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t5_tsp_2) ).
fof(fc2_tops_1,axiom,
! [X1,X2] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> v4_pre_topc(k6_pre_topc(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+207.ax',fc2_tops_1) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> k6_pre_topc(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k6_pre_topc(X1,X3))) ) ) ) ),
inference(assume_negation,[status(cth)],[t7_tsp_2]) ).
fof(c_0_7,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| k6_pre_topc(X3,k3_tex_4(X3,X4)) = k6_pre_topc(X3,X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t64_tex_4])])])])])]) ).
fof(c_0_8,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& v1_tsp_2(esk2_0,esk1_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& k6_pre_topc(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k6_pre_topc(esk1_0,esk3_0))) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_6])])])])])]) ).
fof(c_0_9,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| m1_subset_1(k3_tex_4(X3,X4),k1_zfmisc_1(u1_struct_0(X3))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k3_tex_4])])]) ).
fof(c_0_10,plain,
! [X3,X4] :
( ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| m1_subset_1(k6_pre_topc(X3,X4),k1_zfmisc_1(u1_struct_0(X3))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_pre_topc])]) ).
fof(c_0_11,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v2_pre_topc(X4)
| ~ l1_pre_topc(X4)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| ~ v1_tsp_2(X5,X4)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X4)))
| ~ v4_pre_topc(X6,X4)
| X6 = k3_tex_4(X4,k5_subset_1(u1_struct_0(X4),X5,X6)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t5_tsp_2])])])])])]) ).
fof(c_0_12,plain,
! [X3,X4] :
( ~ v2_pre_topc(X3)
| ~ l1_pre_topc(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| v4_pre_topc(k6_pre_topc(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_tops_1])]) ).
cnf(c_0_13,plain,
( k6_pre_topc(X1,k3_tex_4(X1,X2)) = k6_pre_topc(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,plain,
( m1_subset_1(k3_tex_4(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,plain,
( m1_subset_1(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,plain,
( X1 = k3_tex_4(X2,k5_subset_1(u1_struct_0(X2),X3,X1))
| v3_struct_0(X2)
| ~ v4_pre_topc(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ v1_tsp_2(X3,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_pre_topc(X2)
| ~ v2_pre_topc(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,negated_conjecture,
v1_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,plain,
( v4_pre_topc(k6_pre_topc(X1,X2),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,negated_conjecture,
k6_pre_topc(esk1_0,k3_tex_4(esk1_0,esk3_0)) = k6_pre_topc(esk1_0,esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_25,negated_conjecture,
m1_subset_1(k3_tex_4(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_14]),c_0_16])]),c_0_17]) ).
cnf(c_0_26,negated_conjecture,
( m1_subset_1(k6_pre_topc(esk1_0,X1),k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_27,negated_conjecture,
( k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,X1)) = X1
| ~ v4_pre_topc(X1,esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_15]),c_0_16]),c_0_22])]),c_0_17]) ).
cnf(c_0_28,negated_conjecture,
v4_pre_topc(k6_pre_topc(esk1_0,esk3_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_15]),c_0_16])]),c_0_25])]) ).
cnf(c_0_29,negated_conjecture,
m1_subset_1(k6_pre_topc(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_24]),c_0_25])]) ).
cnf(c_0_30,negated_conjecture,
k6_pre_topc(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k6_pre_topc(esk1_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : TOP026+4 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun May 29 04:23:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.94/6.12 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 1.94/6.12 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 1.94/6.12 # Preprocessing time : 1.350 s
% 1.94/6.12
% 1.94/6.12 # Proof found!
% 1.94/6.12 # SZS status Theorem
% 1.94/6.12 # SZS output start CNFRefutation
% See solution above
% 1.94/6.12 # Proof object total steps : 32
% 1.94/6.12 # Proof object clause steps : 19
% 1.94/6.12 # Proof object formula steps : 13
% 1.94/6.12 # Proof object conjectures : 17
% 1.94/6.12 # Proof object clause conjectures : 14
% 1.94/6.12 # Proof object formula conjectures : 3
% 1.94/6.12 # Proof object initial clauses used : 12
% 1.94/6.12 # Proof object initial formulas used : 6
% 1.94/6.12 # Proof object generating inferences : 7
% 1.94/6.12 # Proof object simplifying inferences : 22
% 1.94/6.12 # Training examples: 0 positive, 0 negative
% 1.94/6.12 # Parsed axioms : 34387
% 1.94/6.12 # Removed by relevancy pruning/SinE : 34286
% 1.94/6.12 # Initial clauses : 179
% 1.94/6.12 # Removed in clause preprocessing : 2
% 1.94/6.12 # Initial clauses in saturation : 177
% 1.94/6.12 # Processed clauses : 13823
% 1.94/6.12 # ...of these trivial : 220
% 1.94/6.12 # ...subsumed : 11871
% 1.94/6.12 # ...remaining for further processing : 1732
% 1.94/6.12 # Other redundant clauses eliminated : 10
% 1.94/6.12 # Clauses deleted for lack of memory : 0
% 1.94/6.12 # Backward-subsumed : 155
% 1.94/6.12 # Backward-rewritten : 3
% 1.94/6.12 # Generated clauses : 37013
% 1.94/6.12 # ...of the previous two non-trivial : 32741
% 1.94/6.12 # Contextual simplify-reflections : 19424
% 1.94/6.12 # Paramodulations : 36997
% 1.94/6.12 # Factorizations : 0
% 1.94/6.12 # Equation resolutions : 16
% 1.94/6.12 # Current number of processed clauses : 1572
% 1.94/6.12 # Positive orientable unit clauses : 47
% 1.94/6.12 # Positive unorientable unit clauses: 0
% 1.94/6.12 # Negative unit clauses : 7
% 1.94/6.12 # Non-unit-clauses : 1518
% 1.94/6.12 # Current number of unprocessed clauses: 17980
% 1.94/6.12 # ...number of literals in the above : 92584
% 1.94/6.12 # Current number of archived formulas : 0
% 1.94/6.12 # Current number of archived clauses : 158
% 1.94/6.12 # Clause-clause subsumption calls (NU) : 2713731
% 1.94/6.12 # Rec. Clause-clause subsumption calls : 786203
% 1.94/6.12 # Non-unit clause-clause subsumptions : 30985
% 1.94/6.12 # Unit Clause-clause subsumption calls : 2155
% 1.94/6.12 # Rewrite failures with RHS unbound : 0
% 1.94/6.12 # BW rewrite match attempts : 3
% 1.94/6.12 # BW rewrite match successes : 2
% 1.94/6.12 # Condensation attempts : 0
% 1.94/6.12 # Condensation successes : 0
% 1.94/6.12 # Termbank termtop insertions : 2108830
% 1.94/6.12
% 1.94/6.12 # -------------------------------------------------
% 1.94/6.12 # User time : 3.448 s
% 1.94/6.12 # System time : 0.063 s
% 1.94/6.12 # Total time : 3.511 s
% 1.94/6.12 # Maximum resident set size: 99396 pages
% 1.94/16.03 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.94/16.03 eprover: No such file or directory
% 1.94/16.03 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.94/16.03 eprover: No such file or directory
% 1.94/16.04 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.94/16.04 eprover: No such file or directory
% 1.94/16.04 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.94/16.04 eprover: No such file or directory
% 1.94/16.05 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.94/16.05 eprover: No such file or directory
% 1.94/16.06 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.94/16.06 eprover: No such file or directory
% 1.94/16.06 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.94/16.06 eprover: No such file or directory
% 1.94/16.07 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.94/16.07 eprover: No such file or directory
% 1.94/16.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.94/16.08 eprover: No such file or directory
% 1.94/16.08 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.94/16.08 eprover: No such file or directory
% 1.94/16.09 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.94/16.09 eprover: No such file or directory
% 1.94/16.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.94/16.34 eprover: No such file or directory
% 1.94/16.34 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.94/16.34 eprover: No such file or directory
% 1.94/16.35 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.94/16.35 eprover: No such file or directory
% 1.94/16.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.94/16.36 eprover: No such file or directory
% 1.94/16.36 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.94/16.36 eprover: No such file or directory
% 1.94/16.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.94/16.37 eprover: No such file or directory
% 1.94/16.37 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.94/16.37 eprover: No such file or directory
% 1.94/16.38 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.94/16.38 eprover: No such file or directory
% 1.94/16.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.94/16.39 eprover: No such file or directory
% 1.94/16.39 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.94/16.39 eprover: No such file or directory
% 1.94/16.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.94/16.40 eprover: No such file or directory
%------------------------------------------------------------------------------