TSTP Solution File: ANA028-1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ANA028-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 : Sat May 4 07:24:31 EDT 2024
% Result : Unsatisfiable 13.27s 2.49s
% Output : CNFRefutation 13.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 49 ( 18 unt; 4 nHn; 33 RR)
% Number of literals : 92 ( 7 equ; 49 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/tmp/tmp.FlnzGHZjsP/E---3.1_9520.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox/tmp/tmp.FlnzGHZjsP/E---3.1_9520.p',cls_conjecture_3) ).
cnf(cls_OrderedGroup_Oab__group__add__class_Odiff__minus_0,axiom,
( c_minus(X2,X3,X1) = c_plus(X2,c_uminus(X3,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox/tmp/tmp.FlnzGHZjsP/E---3.1_9520.p',cls_OrderedGroup_Oab__group__add__class_Odiff__minus_0) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/tmp/tmp.FlnzGHZjsP/E---3.1_9520.p',tfree_tcs) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_37,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/tmp/tmp.FlnzGHZjsP/E---3.1_9520.p',clsrel_Ring__and__Field_Oordered__idom_37) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/tmp/tmp.FlnzGHZjsP/E---3.1_9520.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
cnf(cls_OrderedGroup_Oadd__le__cancel__left_1,axiom,
( c_lessequals(c_plus(X4,X2,X1),c_plus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.FlnzGHZjsP/E---3.1_9520.p',cls_OrderedGroup_Oadd__le__cancel__left_1) ).
cnf(cls_Orderings_Olinorder__not__le_0,axiom,
( c_less(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/tmp/tmp.FlnzGHZjsP/E---3.1_9520.p',cls_Orderings_Olinorder__not__le_0) ).
cnf(cls_OrderedGroup_Ominus__minus_0,axiom,
( c_uminus(c_uminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox/tmp/tmp.FlnzGHZjsP/E---3.1_9520.p',cls_OrderedGroup_Ominus__minus_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/tmp/tmp.FlnzGHZjsP/E---3.1_9520.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
cnf(cls_Orderings_Olinorder__not__le_1,axiom,
( ~ class_Orderings_Olinorder(X1)
| ~ c_less(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.FlnzGHZjsP/E---3.1_9520.p',cls_Orderings_Olinorder__not__le_1) ).
cnf(cls_OrderedGroup_Oneg__less__iff__less_1,axiom,
( c_less(c_uminus(X3,X1),c_uminus(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_less(X2,X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.FlnzGHZjsP/E---3.1_9520.p',cls_OrderedGroup_Oneg__less__iff__less_1) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_g(X1),v_k(X1),t_b),
file('/export/starexec/sandbox/tmp/tmp.FlnzGHZjsP/E---3.1_9520.p',cls_conjecture_1) ).
cnf(c_0_13,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_4]) ).
cnf(c_0_14,negated_conjecture,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_15,plain,
( c_minus(X2,X3,X1) = c_plus(X2,c_uminus(X3,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oab__group__add__class_Odiff__minus_0]) ).
cnf(c_0_16,plain,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_13 ).
cnf(c_0_17,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs ).
cnf(c_0_18,negated_conjecture,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
c_0_14 ).
cnf(c_0_19,plain,
( c_minus(X2,X3,X1) = c_plus(X2,c_uminus(X3,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
c_0_15 ).
cnf(c_0_20,negated_conjecture,
class_OrderedGroup_Oab__group__add(t_b),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_37]) ).
cnf(c_0_22,plain,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_33]) ).
cnf(c_0_23,negated_conjecture,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_plus(v_f(v_x),c_uminus(v_g(v_x),t_b),t_b),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_24,plain,
( c_lessequals(c_plus(X4,X2,X1),c_plus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oadd__le__cancel__left_1]) ).
cnf(c_0_25,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_21 ).
cnf(c_0_26,plain,
( c_less(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(fof_simplification,[status(thm)],[cls_Orderings_Olinorder__not__le_0]) ).
cnf(c_0_27,plain,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_22 ).
cnf(c_0_28,negated_conjecture,
~ c_lessequals(c_plus(v_f(v_x),c_uminus(v_k(v_x),t_b),t_b),c_plus(v_f(v_x),c_uminus(v_g(v_x),t_b),t_b),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_19]),c_0_20])]) ).
cnf(c_0_29,plain,
( c_lessequals(c_plus(X4,X2,X1),c_plus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(X2,X3,X1) ),
c_0_24 ).
cnf(c_0_30,negated_conjecture,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b),
inference(spm,[status(thm)],[c_0_25,c_0_17]) ).
cnf(c_0_31,plain,
( c_less(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
c_0_26 ).
cnf(c_0_32,negated_conjecture,
class_Orderings_Olinorder(t_b),
inference(spm,[status(thm)],[c_0_27,c_0_17]) ).
cnf(c_0_33,plain,
( c_uminus(c_uminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Ominus__minus_0]) ).
cnf(c_0_34,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_54]) ).
cnf(c_0_35,plain,
( ~ class_Orderings_Olinorder(X1)
| ~ c_less(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_Orderings_Olinorder__not__le_1]) ).
cnf(c_0_36,plain,
( c_less(c_uminus(X3,X1),c_uminus(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_less(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oneg__less__iff__less_1]) ).
cnf(c_0_37,negated_conjecture,
~ c_lessequals(c_uminus(v_k(v_x),t_b),c_uminus(v_g(v_x),t_b),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_38,negated_conjecture,
( c_less(X1,X2,t_b)
| c_lessequals(X2,X1,t_b) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,plain,
( c_uminus(c_uminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Oab__group__add(X1) ),
c_0_33 ).
cnf(c_0_40,plain,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_34 ).
cnf(c_0_41,plain,
( ~ class_Orderings_Olinorder(X1)
| ~ c_less(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
c_0_35 ).
cnf(c_0_42,negated_conjecture,
c_lessequals(v_g(X1),v_k(X1),t_b),
cls_conjecture_1 ).
cnf(c_0_43,plain,
( c_less(c_uminus(X3,X1),c_uminus(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_less(X2,X3,X1) ),
c_0_36 ).
cnf(c_0_44,negated_conjecture,
c_less(c_uminus(v_g(v_x),t_b),c_uminus(v_k(v_x),t_b),t_b),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
c_uminus(c_uminus(X1,t_b),t_b) = X1,
inference(spm,[status(thm)],[c_0_39,c_0_20]) ).
cnf(c_0_46,negated_conjecture,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(spm,[status(thm)],[c_0_40,c_0_17]) ).
cnf(c_0_47,negated_conjecture,
~ c_less(v_k(X1),v_g(X1),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_32])]) ).
cnf(c_0_48,negated_conjecture,
$false,
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_43,c_0_44]),c_0_45]),c_0_45]),c_0_46])]),c_0_47]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA028-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 09:55:57 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.59/0.75 Running first-order model finding
% 0.59/0.75 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.FlnzGHZjsP/E---3.1_9520.p
% 13.27/2.49 # Version: 3.1.0
% 13.27/2.49 # Preprocessing class: FMLMSMSMSSSNFFN.
% 13.27/2.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.27/2.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 13.27/2.49 # Starting new_bool_3 with 300s (1) cores
% 13.27/2.49 # Starting new_bool_1 with 300s (1) cores
% 13.27/2.49 # Starting sh5l with 300s (1) cores
% 13.27/2.49 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 9689 completed with status 0
% 13.27/2.49 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 13.27/2.49 # Preprocessing class: FMLMSMSMSSSNFFN.
% 13.27/2.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.27/2.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 13.27/2.49 # No SInE strategy applied
% 13.27/2.49 # Search class: FGHSM-SMLM32-DFFFFFNN
% 13.27/2.49 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 13.27/2.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 13.27/2.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 13.27/2.49 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 13.27/2.49 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 13.27/2.49 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 13.27/2.49 # G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 9699 completed with status 0
% 13.27/2.49 # Result found by G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 13.27/2.49 # Preprocessing class: FMLMSMSMSSSNFFN.
% 13.27/2.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.27/2.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 13.27/2.49 # No SInE strategy applied
% 13.27/2.49 # Search class: FGHSM-SMLM32-DFFFFFNN
% 13.27/2.49 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 13.27/2.49 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 13.27/2.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 13.27/2.49 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 13.27/2.49 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 13.27/2.49 # Preprocessing time : 0.027 s
% 13.27/2.49 # Presaturation interreduction done
% 13.27/2.49
% 13.27/2.49 # Proof found!
% 13.27/2.49 # SZS status Unsatisfiable
% 13.27/2.49 # SZS output start CNFRefutation
% See solution above
% 13.27/2.49 # Parsed axioms : 2809
% 13.27/2.49 # Removed by relevancy pruning/SinE : 0
% 13.27/2.49 # Initial clauses : 2809
% 13.27/2.49 # Removed in clause preprocessing : 9
% 13.27/2.49 # Initial clauses in saturation : 2800
% 13.27/2.49 # Processed clauses : 12387
% 13.27/2.49 # ...of these trivial : 108
% 13.27/2.49 # ...subsumed : 5541
% 13.27/2.49 # ...remaining for further processing : 6738
% 13.27/2.49 # Other redundant clauses eliminated : 105
% 13.27/2.49 # Clauses deleted for lack of memory : 0
% 13.27/2.49 # Backward-subsumed : 70
% 13.27/2.49 # Backward-rewritten : 615
% 13.27/2.49 # Generated clauses : 25203
% 13.27/2.49 # ...of the previous two non-redundant : 21739
% 13.27/2.49 # ...aggressively subsumed : 0
% 13.27/2.49 # Contextual simplify-reflections : 19
% 13.27/2.49 # Paramodulations : 25052
% 13.27/2.49 # Factorizations : 2
% 13.27/2.49 # NegExts : 0
% 13.27/2.49 # Equation resolutions : 149
% 13.27/2.49 # Disequality decompositions : 0
% 13.27/2.49 # Total rewrite steps : 16451
% 13.27/2.49 # ...of those cached : 14678
% 13.27/2.49 # Propositional unsat checks : 1
% 13.27/2.49 # Propositional check models : 1
% 13.27/2.49 # Propositional check unsatisfiable : 0
% 13.27/2.49 # Propositional clauses : 0
% 13.27/2.49 # Propositional clauses after purity: 0
% 13.27/2.49 # Propositional unsat core size : 0
% 13.27/2.49 # Propositional preprocessing time : 0.000
% 13.27/2.49 # Propositional encoding time : 0.012
% 13.27/2.49 # Propositional solver time : 0.013
% 13.27/2.49 # Success case prop preproc time : 0.000
% 13.27/2.49 # Success case prop encoding time : 0.000
% 13.27/2.49 # Success case prop solver time : 0.000
% 13.27/2.49 # Current number of processed clauses : 3378
% 13.27/2.49 # Positive orientable unit clauses : 793
% 13.27/2.49 # Positive unorientable unit clauses: 18
% 13.27/2.49 # Negative unit clauses : 495
% 13.27/2.49 # Non-unit-clauses : 2072
% 13.27/2.49 # Current number of unprocessed clauses: 14348
% 13.27/2.49 # ...number of literals in the above : 31923
% 13.27/2.49 # Current number of archived formulas : 0
% 13.27/2.49 # Current number of archived clauses : 3368
% 13.27/2.49 # Clause-clause subsumption calls (NU) : 5364032
% 13.27/2.49 # Rec. Clause-clause subsumption calls : 3079048
% 13.27/2.49 # Non-unit clause-clause subsumptions : 3326
% 13.27/2.49 # Unit Clause-clause subsumption calls : 119016
% 13.27/2.49 # Rewrite failures with RHS unbound : 0
% 13.27/2.49 # BW rewrite match attempts : 1612
% 13.27/2.49 # BW rewrite match successes : 136
% 13.27/2.49 # Condensation attempts : 0
% 13.27/2.49 # Condensation successes : 0
% 13.27/2.49 # Termbank termtop insertions : 452117
% 13.27/2.49 # Search garbage collected termcells : 4116
% 13.27/2.49
% 13.27/2.49 # -------------------------------------------------
% 13.27/2.49 # User time : 1.607 s
% 13.27/2.49 # System time : 0.032 s
% 13.27/2.49 # Total time : 1.639 s
% 13.27/2.49 # Maximum resident set size: 6860 pages
% 13.27/2.49
% 13.27/2.49 # -------------------------------------------------
% 13.27/2.49 # User time : 7.838 s
% 13.27/2.49 # System time : 0.182 s
% 13.27/2.49 # Total time : 8.020 s
% 13.27/2.49 # Maximum resident set size: 3544 pages
% 13.27/2.49 % E---3.1 exiting
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