TSTP Solution File: SYO043^1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO043^1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n016.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 17:31:39 EDT 2022
% Result : Unsatisfiable 0.20s 0.44s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 4
% Syntax : Number of formulae : 91 ( 23 unt; 3 typ; 0 def)
% Number of atoms : 1146 ( 232 equ; 0 cnn)
% Maximal formula atoms : 7 ( 13 avg)
% Number of connectives : 655 ( 61 ~; 142 |; 8 &; 444 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_f,type,
f: $o > $o ).
thf(tp_q,type,
q: ( $o > $o ) > $o > $o ).
thf(tp_x,type,
x: $o ).
thf(1,axiom,
( ( q @ f @ x )
& ( f @ ( f @ x ) )
& ( ( f @ ( q @ f @ x ) )
!= ( f @ x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',5) ).
thf(5,plain,
( ( ( q @ f @ x )
& ( f @ ( f @ x ) )
& ( ( f @ ( q @ f @ x ) )
!= ( f @ x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(7,plain,
( ( ( ( f @ ( q @ f @ x ) )
!= ( f @ x ) )
& ( f @ ( f @ x ) )
& ( q @ f @ x ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(8,plain,
( ( ( ( f @ ( q @ f @ x ) )
!= ( f @ x ) )
& ( f @ ( f @ x ) )
& ( q @ f @ x ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(10,plain,
( ( ~ ( ~ ( ( ( f @ ( q @ f @ x ) )
!= ( f @ x ) ) )
| ~ ~ ( ~ ( f @ ( f @ x ) )
| ~ ( q @ f @ x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ( ( ( f @ ( q @ f @ x ) )
!= ( f @ x ) ) )
| ~ ~ ( ~ ( f @ ( f @ x ) )
| ~ ( q @ f @ x ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ( ( ( f @ ( q @ f @ x ) )
!= ( f @ x ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ~ ( ~ ( f @ ( f @ x ) )
| ~ ( q @ f @ x ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ( ( f @ ( q @ f @ x ) )
!= ( f @ x ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( ~ ( f @ ( f @ x ) )
| ~ ( q @ f @ x ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ( f @ ( q @ f @ x ) )
= ( f @ x ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ( f @ ( f @ x ) )
| ~ ( q @ f @ x ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ( ( f @ ( q @ f @ x ) )
| ( f @ x ) )
| ~ ( ~ ( f @ ( q @ f @ x ) )
| ~ ( f @ x ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ( f @ ( q @ f @ x ) )
= ( f @ x ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ( f @ ( f @ x ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ( q @ f @ x ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(23,plain,
( ( ~ ( ( f @ ( q @ f @ x ) )
| ( f @ x ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(24,plain,
( ( ~ ( ~ ( f @ ( q @ f @ x ) )
| ~ ( f @ x ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(25,plain,
( ( f @ ( f @ x ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
( ( q @ f @ x )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(27,plain,
( ( ( f @ ( q @ f @ x ) )
| ( f @ x ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ( f @ ( q @ f @ x ) )
| ~ ( f @ x ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(29,plain,
( ( ( f @ ( q @ f @ x ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(30,plain,
( ( ( ~ ( f @ ( q @ f @ x ) ) )
= $true )
| ( ( ~ ( f @ x ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(31,plain,
( ( ( f @ ( q @ f @ x ) )
= $false )
| ( ( ~ ( f @ x ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(32,plain,
( ( ( f @ x )
= $false )
| ( ( f @ ( q @ f @ x ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(33,plain,
( ( ( f @ x )
= $true )
| ( ( ( f @ ( q @ f @ x ) )
= ( f @ x ) )
= $false ) ),
inference(fac_restr,[status(thm)],[29]) ).
thf(34,plain,
( ( ( f @ ( q @ f @ x ) )
= $false )
| ( ( ( f @ x )
= ( f @ ( q @ f @ x ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[32]) ).
thf(35,plain,
( ( ( ~ ( ( f @ ( q @ f @ x ) )
| ( f @ x ) )
| ~ ( ~ ( f @ ( q @ f @ x ) )
| ~ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[33]) ).
thf(36,plain,
( ( ( ( f @ ( q @ f @ x ) )
= ( f @ x ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[33]) ).
thf(37,plain,
( ( ( ~ ( ( f @ x )
| ( f @ ( q @ f @ x ) ) )
| ~ ( ~ ( f @ x )
| ~ ( f @ ( q @ f @ x ) ) ) )
= $false )
| ( ( f @ ( q @ f @ x ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[34]) ).
thf(38,plain,
( ( ( ( f @ x )
= ( f @ ( q @ f @ x ) ) )
= $false )
| ( ( f @ ( q @ f @ x ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[34]) ).
thf(39,plain,
( ( ( ~ ( ( f @ ( q @ f @ x ) )
| ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(42,plain,
( ( ( ~ ( ~ ( f @ x )
| ~ ( f @ ( q @ f @ x ) ) ) )
= $false )
| ( ( f @ ( q @ f @ x ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(43,plain,
( ( ( ( f @ ( q @ f @ x ) )
| ( f @ x ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(46,plain,
( ( ( ~ ( f @ x )
| ~ ( f @ ( q @ f @ x ) ) )
= $true )
| ( ( f @ ( q @ f @ x ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(47,plain,
( ( ( f @ ( q @ f @ x ) )
= $true )
| ( ( f @ x )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(50,plain,
( ( ( ~ ( f @ x ) )
= $true )
| ( ( ~ ( f @ ( q @ f @ x ) ) )
= $true )
| ( ( f @ ( q @ f @ x ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(52,plain,
( ( ( f @ x )
= $false )
| ( ( ~ ( f @ ( q @ f @ x ) ) )
= $true )
| ( ( f @ ( q @ f @ x ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(54,plain,
( ( ( f @ ( q @ f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( q @ f @ x ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(56,plain,
( ( ( f @ x )
= $true )
| ( ( q @ f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[36]) ).
thf(58,plain,
( ( ( f @ ( q @ f @ x ) )
= $false )
| ( x = $false )
| ( ( q @ f @ x )
= $false ) ),
inference(extuni,[status(esa)],[38]) ).
thf(59,plain,
( ( ( q @ f @ x )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[20]) ).
thf(60,plain,
( ( ( q @ f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[20]) ).
thf(61,plain,
( ( ( f @ ( q @ f @ x ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[47]) ).
thf(62,plain,
( ( ( f @ ( q @ f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[54]) ).
thf(63,plain,
( ( ( q @ f @ x )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[20]) ).
thf(64,plain,
( ( ( q @ f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[20]) ).
thf(69,plain,
( ( ( f @ x )
= $true )
| ( ( ( f @ ( q @ f @ x ) )
= ( f @ x ) )
= $false ) ),
inference(fac_restr,[status(thm)],[29]) ).
thf(70,plain,
( ( ( q @ f @ x )
= $true )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[69]) ).
thf(71,plain,
( ( ( q @ f @ x )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[69]) ).
thf(72,plain,
( ( ( ( f @ ( q @ f @ x ) )
= ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( q @ f @ x ) )
= $true ) ),
inference(res,[status(thm)],[32,29]) ).
thf(75,plain,
( ( ( ( f @ x )
= ( f @ ( q @ f @ x ) ) )
= $false )
| ( ( f @ ( q @ f @ x ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[32,29]) ).
thf(78,plain,
( ( ( ( f @ ( q @ f @ x ) )
= ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[32,25]) ).
thf(79,plain,
( ( ( ( f @ x )
= ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( q @ f @ x ) )
= $false ) ),
inference(res,[status(thm)],[32,25]) ).
thf(80,plain,
( ( ( f @ ( q @ f @ x ) )
= $false )
| ( ( ( f @ x )
= ( f @ ( q @ f @ x ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[32]) ).
thf(81,plain,
( ( ( f @ ( q @ f @ x ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[79]) ).
thf(82,plain,
( ( ( f @ ( q @ f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[79]) ).
thf(84,plain,
( ( ( f @ x )
= $false )
| ( ( q @ f @ x )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[78]) ).
thf(85,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( q @ f @ x ) )
= $false )
| ( x = $true )
| ( ( q @ f @ x )
= $true ) ),
inference(extuni,[status(esa)],[75]) ).
thf(86,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( q @ f @ x ) )
= $false )
| ( x = $false )
| ( ( q @ f @ x )
= $false ) ),
inference(extuni,[status(esa)],[75]) ).
thf(89,plain,
( ( ( f @ ( q @ f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( q @ f @ x )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[72]) ).
thf(90,plain,
( ( ( f @ ( q @ f @ x ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( q @ f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[72]) ).
thf(91,plain,
( ( x = $true )
| ( ( q @ f @ x )
= $true )
| ( ( f @ ( q @ f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[80]) ).
thf(92,plain,
( ( x = $false )
| ( ( q @ f @ x )
= $false )
| ( ( f @ ( q @ f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[80]) ).
thf(93,plain,
( ( ( f @ x )
= $false )
| ( ( q @ f @ x )
= $false ) ),
inference(sim,[status(thm)],[84]) ).
thf(98,plain,
( ( ( ( f @ x )
= ( f @ ( q @ f @ x ) ) )
= $false )
| ( ( q @ f @ x )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(res,[status(thm)],[56,32]) ).
thf(99,plain,
( ( ( ( f @ x )
= ( f @ x ) )
= $false )
| ( ( q @ f @ x )
= $false )
| ( x = $false )
| ( ( f @ ( q @ f @ x ) )
= $false ) ),
inference(res,[status(thm)],[56,32]) ).
thf(105,plain,
( ( ( ( q @ f @ x )
= ( q @ f @ x ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[56,26]) ).
thf(109,plain,
( ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[105]) ).
thf(110,plain,
( ( ( f @ ( q @ f @ x ) )
= $false )
| ( x = $false )
| ( ( q @ f @ x )
= $false ) ),
inference(extuni,[status(esa)],[99]) ).
thf(112,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( q @ f @ x )
= $false )
| ( x = $false )
| ( ( q @ f @ x )
= $false ) ),
inference(extuni,[status(esa)],[98]) ).
thf(113,plain,
( ( ( f @ x )
= $false )
| ( x = $false )
| ( ( q @ f @ x )
= $false ) ),
inference(sim,[status(thm)],[112]) ).
thf(116,plain,
( ( ( ( f @ ( q @ f @ x ) )
= ( f @ x ) )
= $false )
| ( x = $false )
| ( ( q @ f @ x )
= $false )
| ( ( q @ f @ x )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[58,56]) ).
thf(119,plain,
( ( ( ( f @ ( q @ f @ x ) )
= ( f @ x ) )
= $false )
| ( x = $false )
| ( ( q @ f @ x )
= $false )
| ( ( f @ ( q @ f @ x ) )
= $true ) ),
inference(res,[status(thm)],[58,29]) ).
thf(122,plain,
( ( ( ( f @ ( q @ f @ x ) )
= ( f @ ( q @ f @ x ) ) )
= $false )
| ( x = $false )
| ( ( q @ f @ x )
= $false )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[58,29]) ).
thf(123,plain,
( ( ( ( q @ f @ x )
= ( q @ f @ x ) )
= $false )
| ( ( f @ ( q @ f @ x ) )
= $false )
| ( x = $false ) ),
inference(res,[status(thm)],[58,26]) ).
thf(128,plain,
( ( ( ( f @ ( q @ f @ x ) )
= ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( q @ f @ x )
= $false ) ),
inference(res,[status(thm)],[58,25]) ).
thf(130,plain,
( ( ( q @ f @ x )
= $false )
| ( x = $false )
| ( ( q @ f @ x )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[128]) ).
thf(131,plain,
( ( x = $false )
| ( ( f @ ( q @ f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[123]) ).
thf(132,plain,
( ( ( f @ x )
= $true )
| ( ( q @ f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[122]) ).
thf(134,plain,
( ( ( f @ ( q @ f @ x ) )
= $true )
| ( ( q @ f @ x )
= $false )
| ( x = $false )
| ( ( q @ f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[119]) ).
thf(136,plain,
( ( x = $false )
| ( ( q @ f @ x )
= $false )
| ( ( q @ f @ x )
= $false )
| ( x = $false )
| ( ( q @ f @ x )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[116]) ).
thf(137,plain,
( ( ( q @ f @ x )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[130]) ).
thf(138,plain,
( ( ( f @ ( q @ f @ x ) )
= $true )
| ( ( q @ f @ x )
= $false )
| ( x = $false ) ),
inference(sim,[status(thm)],[134]) ).
thf(139,plain,
( ( x = $false )
| ( ( q @ f @ x )
= $false ) ),
inference(sim,[status(thm)],[136]) ).
thf(140,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[20,139,138,137,132,131,113,110,109,93,92,91,90,89,86,85,82,81,71,70,64,63,62,61,60,59,58,56,32,29,26,25]) ).
thf(141,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYO043^1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n016.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 : 600
% 0.13/0.35 % DateTime : Fri Jul 8 20:18:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 1
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:3,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.20/0.44
% 0.20/0.44 ********************************
% 0.20/0.44 * All subproblems solved! *
% 0.20/0.44 ********************************
% 0.20/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:140,loop_count:10,foatp_calls:3,translation:fof_full)
% 0.20/0.45
% 0.20/0.45 %**** Beginning of derivation protocol ****
% 0.20/0.45 % SZS output start CNFRefutation
% See solution above
% 0.20/0.45
% 0.20/0.45 %**** End of derivation protocol ****
% 0.20/0.45 %**** no. of clauses in derivation: 88 ****
% 0.20/0.45 %**** clause counter: 140 ****
% 0.20/0.45
% 0.20/0.45 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:140,loop_count:10,foatp_calls:3,translation:fof_full)
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