TSTP Solution File: GEO555+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GEO555+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 03:46:16 EDT 2022
% Result : Theorem 11.82s 2.99s
% Output : CNFRefutation 11.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 75 ( 19 unt; 0 def)
% Number of atoms : 183 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 158 ( 50 ~; 47 |; 44 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 272 ( 20 sgn 156 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL012015,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20] :
( ( perp(X4,X1,X2,X3)
& coll(X4,X2,X3)
& perp(X5,X2,X1,X3)
& coll(X5,X1,X3)
& perp(X6,X3,X1,X2)
& coll(X6,X1,X2)
& perp(X13,X6,X2,X3)
& coll(X13,X2,X3)
& perp(X14,X6,X1,X3)
& coll(X14,X1,X3)
& perp(X19,X5,X1,X2)
& coll(X19,X1,X2)
& perp(X20,X4,X1,X2)
& coll(X20,X1,X2) )
=> cyclic(X14,X19,X20,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012015) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD42b,axiom,
! [X1,X2,X9,X10] :
( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
& coll(X9,X10,X2) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(ruleD17,axiom,
! [X1,X2,X3,X4,X5] :
( ( cyclic(X1,X2,X3,X4)
& cyclic(X1,X2,X3,X5) )
=> cyclic(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(c_0_16,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20] :
( ( perp(X4,X1,X2,X3)
& coll(X4,X2,X3)
& perp(X5,X2,X1,X3)
& coll(X5,X1,X3)
& perp(X6,X3,X1,X2)
& coll(X6,X1,X2)
& perp(X13,X6,X2,X3)
& coll(X13,X2,X3)
& perp(X14,X6,X1,X3)
& coll(X14,X1,X3)
& perp(X19,X5,X1,X2)
& coll(X19,X1,X2)
& perp(X20,X4,X1,X2)
& coll(X20,X1,X2) )
=> cyclic(X14,X19,X20,X13) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012015]) ).
fof(c_0_17,plain,
! [X49,X50,X51,X52] :
( ~ perp(X49,X50,X51,X52)
| perp(X51,X52,X49,X50) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_18,negated_conjecture,
( perp(esk24_0,esk21_0,esk22_0,esk23_0)
& coll(esk24_0,esk22_0,esk23_0)
& perp(esk25_0,esk22_0,esk21_0,esk23_0)
& coll(esk25_0,esk21_0,esk23_0)
& perp(esk26_0,esk23_0,esk21_0,esk22_0)
& coll(esk26_0,esk21_0,esk22_0)
& perp(esk27_0,esk26_0,esk22_0,esk23_0)
& coll(esk27_0,esk22_0,esk23_0)
& perp(esk28_0,esk26_0,esk21_0,esk23_0)
& coll(esk28_0,esk21_0,esk23_0)
& perp(esk29_0,esk25_0,esk21_0,esk22_0)
& coll(esk29_0,esk21_0,esk22_0)
& perp(esk30_0,esk24_0,esk21_0,esk22_0)
& coll(esk30_0,esk21_0,esk22_0)
& ~ cyclic(esk28_0,esk29_0,esk30_0,esk27_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_19,plain,
! [X24,X25,X26] :
( ~ coll(X24,X25,X26)
| coll(X25,X24,X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
fof(c_0_20,plain,
! [X270,X271,X272,X273] :
( ~ eqangle(X272,X270,X272,X271,X273,X270,X273,X271)
| ~ coll(X272,X273,X271)
| cyclic(X270,X271,X272,X273) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_21,plain,
! [X256,X257,X258,X259,X260,X261] :
( ~ para(X256,X257,X258,X259)
| eqangle(X256,X257,X260,X261,X258,X259,X260,X261) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_22,plain,
! [X53,X54,X55,X56,X57,X58] :
( ~ perp(X53,X54,X55,X56)
| ~ perp(X55,X56,X57,X58)
| para(X53,X54,X57,X58) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_23,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
perp(esk30_0,esk24_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_25,plain,
! [X21,X22,X23] :
( ~ coll(X21,X22,X23)
| coll(X21,X23,X22) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_26,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,negated_conjecture,
coll(esk30_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_28,plain,
! [X250,X251,X252,X253,X254,X255] :
( ~ eqangle(X250,X251,X254,X255,X252,X253,X254,X255)
| para(X250,X251,X252,X253) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
fof(c_0_29,plain,
! [X262,X263,X264,X265] :
( ~ cyclic(X262,X263,X264,X265)
| eqangle(X264,X262,X264,X263,X265,X262,X265,X263) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
cnf(c_0_30,plain,
( cyclic(X2,X3,X1,X4)
| ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| ~ coll(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,negated_conjecture,
perp(esk21_0,esk22_0,esk30_0,esk24_0),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
fof(c_0_34,plain,
! [X27,X28,X29,X30] :
( ~ coll(X27,X28,X29)
| ~ coll(X27,X28,X30)
| coll(X29,X30,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_35,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,negated_conjecture,
coll(esk21_0,esk30_0,esk22_0),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_37,plain,
! [X102,X103,X104,X105,X106,X107,X108,X109] :
( ~ eqangle(X102,X103,X104,X105,X106,X107,X108,X109)
| eqangle(X104,X105,X102,X103,X108,X109,X106,X107) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
cnf(c_0_38,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_41,negated_conjecture,
( para(X1,X2,esk30_0,esk24_0)
| ~ perp(X1,X2,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_42,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,negated_conjecture,
coll(esk21_0,esk22_0,esk30_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_44,plain,
( eqangle(X3,X4,X1,X2,X7,X8,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
( para(X1,X2,X1,X2)
| ~ cyclic(X2,X3,X1,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,negated_conjecture,
( cyclic(esk24_0,X1,esk30_0,esk30_0)
| ~ coll(esk30_0,esk30_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_24])]) ).
cnf(c_0_47,negated_conjecture,
( coll(X1,esk30_0,esk21_0)
| ~ coll(esk21_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_44,c_0_31]) ).
cnf(c_0_49,negated_conjecture,
( para(esk30_0,esk24_0,esk30_0,esk24_0)
| ~ coll(esk30_0,esk30_0,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
coll(esk30_0,esk30_0,esk21_0),
inference(spm,[status(thm)],[c_0_47,c_0_43]) ).
fof(c_0_51,plain,
! [X385,X386,X387] :
( ~ para(X385,X386,X385,X387)
| coll(X385,X386,X387) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_52,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_38,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
para(esk30_0,esk24_0,esk30_0,esk24_0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_55,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_57,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_26,c_0_56]) ).
cnf(c_0_58,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_35,c_0_57]) ).
fof(c_0_59,plain,
! [X81,X82,X83,X84] :
( ~ cyclic(X81,X82,X83,X84)
| cyclic(X81,X83,X82,X84) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_60,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_58]),c_0_58])]) ).
fof(c_0_61,plain,
! [X77,X78,X79,X80] :
( ~ cyclic(X77,X78,X79,X80)
| cyclic(X77,X78,X80,X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_62,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_63,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_55])]),c_0_60])]) ).
fof(c_0_64,plain,
! [X85,X86,X87,X88] :
( ~ cyclic(X85,X86,X87,X88)
| cyclic(X86,X85,X87,X88) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_65,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_66,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
fof(c_0_67,plain,
! [X89,X90,X91,X92,X93] :
( ~ cyclic(X89,X90,X91,X92)
| ~ cyclic(X89,X90,X91,X93)
| cyclic(X90,X91,X92,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_68,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_69,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_70,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_71,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
~ cyclic(esk28_0,esk29_0,esk30_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_73,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_71])]) ).
cnf(c_0_74,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO555+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.15/0.35 % Computer : n006.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sat Jun 18 15:33:12 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected SinE mode:
% 0.21/0.47 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 11.82/2.99 # ENIGMATIC: Solved by autoschedule:
% 11.82/2.99 # No SInE strategy applied
% 11.82/2.99 # Trying AutoSched0 for 150 seconds
% 11.82/2.99 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 11.82/2.99 # and selection function SelectComplexExceptUniqMaxHorn.
% 11.82/2.99 #
% 11.82/2.99 # Preprocessing time : 0.034 s
% 11.82/2.99 # Presaturation interreduction done
% 11.82/2.99
% 11.82/2.99 # Proof found!
% 11.82/2.99 # SZS status Theorem
% 11.82/2.99 # SZS output start CNFRefutation
% See solution above
% 11.82/2.99 # Training examples: 0 positive, 0 negative
% 11.82/2.99
% 11.82/2.99 # -------------------------------------------------
% 11.82/2.99 # User time : 0.268 s
% 11.82/2.99 # System time : 0.017 s
% 11.82/2.99 # Total time : 0.285 s
% 11.82/2.99 # Maximum resident set size: 7120 pages
% 11.82/2.99
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