TSTP Solution File: SWV214+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV214+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n015.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 : Wed Aug 31 18:55:50 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 646 ( 609 equ)
% Maximal formula atoms : 142 ( 49 avg)
% Number of connectives : 1110 ( 477 ~; 188 |; 438 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 27 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 14 ( 6 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f530,plain,
$false,
inference(trivial_inequality_removal,[],[f481]) ).
fof(f481,plain,
( sK21 != sK21
| sK20 != sK20 ),
inference(definition_unfolding,[],[f332,f356,f330]) ).
fof(f330,plain,
n2 = sK20,
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
( ( n0 != sK20
| n2 != sK21 )
& n1 = sK20
& n0 != times(divide(n1,n400),a_select2(sigma,n1))
& ( n4 != sK21
| n1 != sK20 )
& n5 = sK21
& ( n2 != sK21
| n3 != sK20 )
& ( n0 != sK21
| n4 != sK20 )
& ( n1 != sK20
| n2 != sK21 )
& leq(n0,sK20)
& ( n0 != sK21
| n5 != sK20 )
& ( n4 != sK21
| n5 != sK20 )
& ( n1 != sK21
| n4 != sK20 )
& ( n0 != sK20
| n4 != sK21 )
& leq(sK20,n5)
& ( n3 != sK20
| n5 != sK21 )
& ( n0 != sK21
| n3 != sK20 )
& ( n3 != sK20
| n1 != sK21 )
& ( n4 != sK20
| n3 != sK21 )
& ( n2 != sK20
| n3 != sK21 )
& ( n4 != sK21
| n4 != sK20 )
& leq(sK21,n5)
& ( n2 != sK20
| n4 != sK21 )
& leq(n0,sK21)
& ( n0 != sK20
| n5 != sK21 )
& ( n1 != sK20
| n5 != sK21 )
& ( n4 != sK20
| n5 != sK21 )
& ( n1 != sK21
| n5 != sK20 )
& ( n5 != sK21
| n5 != sK20 )
& ( n5 != sK21
| n2 != sK20 )
& n1 = sK21
& n2 = sK20
& ( n3 != sK20
| n3 != sK21 )
& ( n4 != sK21
| n3 != sK20 )
& ( n2 != sK21
| n2 != sK20 )
& ( n3 != sK21
| n1 != sK20 )
& ( n3 != sK21
| n0 != sK20 )
& ( n2 != sK20
| n1 != sK21 )
& ( n2 != sK21
| n5 != sK20 )
& ( n4 != sK20
| n2 != sK21 )
& ( n3 != sK21
| n5 != sK20 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f216,f217]) ).
fof(f217,plain,
( ? [X0,X1] :
( ( n0 != X0
| n2 != X1 )
& n1 = X0
& n0 != times(divide(n1,n400),a_select2(sigma,n1))
& ( n4 != X1
| n1 != X0 )
& n5 = X1
& ( n2 != X1
| n3 != X0 )
& ( n0 != X1
| n4 != X0 )
& ( n1 != X0
| n2 != X1 )
& leq(n0,X0)
& ( n0 != X1
| n5 != X0 )
& ( n4 != X1
| n5 != X0 )
& ( n1 != X1
| n4 != X0 )
& ( n0 != X0
| n4 != X1 )
& leq(X0,n5)
& ( n3 != X0
| n5 != X1 )
& ( n0 != X1
| n3 != X0 )
& ( n3 != X0
| n1 != X1 )
& ( n4 != X0
| n3 != X1 )
& ( n2 != X0
| n3 != X1 )
& ( n4 != X1
| n4 != X0 )
& leq(X1,n5)
& ( n2 != X0
| n4 != X1 )
& leq(n0,X1)
& ( n0 != X0
| n5 != X1 )
& ( n1 != X0
| n5 != X1 )
& ( n4 != X0
| n5 != X1 )
& ( n1 != X1
| n5 != X0 )
& ( n5 != X1
| n5 != X0 )
& ( n5 != X1
| n2 != X0 )
& n1 = X1
& n2 = X0
& ( n3 != X0
| n3 != X1 )
& ( n4 != X1
| n3 != X0 )
& ( n2 != X1
| n2 != X0 )
& ( n3 != X1
| n1 != X0 )
& ( n3 != X1
| n0 != X0 )
& ( n2 != X0
| n1 != X1 )
& ( n2 != X1
| n5 != X0 )
& ( n4 != X0
| n2 != X1 )
& ( n3 != X1
| n5 != X0 ) )
=> ( ( n0 != sK20
| n2 != sK21 )
& n1 = sK20
& n0 != times(divide(n1,n400),a_select2(sigma,n1))
& ( n4 != sK21
| n1 != sK20 )
& n5 = sK21
& ( n2 != sK21
| n3 != sK20 )
& ( n0 != sK21
| n4 != sK20 )
& ( n1 != sK20
| n2 != sK21 )
& leq(n0,sK20)
& ( n0 != sK21
| n5 != sK20 )
& ( n4 != sK21
| n5 != sK20 )
& ( n1 != sK21
| n4 != sK20 )
& ( n0 != sK20
| n4 != sK21 )
& leq(sK20,n5)
& ( n3 != sK20
| n5 != sK21 )
& ( n0 != sK21
| n3 != sK20 )
& ( n3 != sK20
| n1 != sK21 )
& ( n4 != sK20
| n3 != sK21 )
& ( n2 != sK20
| n3 != sK21 )
& ( n4 != sK21
| n4 != sK20 )
& leq(sK21,n5)
& ( n2 != sK20
| n4 != sK21 )
& leq(n0,sK21)
& ( n0 != sK20
| n5 != sK21 )
& ( n1 != sK20
| n5 != sK21 )
& ( n4 != sK20
| n5 != sK21 )
& ( n1 != sK21
| n5 != sK20 )
& ( n5 != sK21
| n5 != sK20 )
& ( n5 != sK21
| n2 != sK20 )
& n1 = sK21
& n2 = sK20
& ( n3 != sK20
| n3 != sK21 )
& ( n4 != sK21
| n3 != sK20 )
& ( n2 != sK21
| n2 != sK20 )
& ( n3 != sK21
| n1 != sK20 )
& ( n3 != sK21
| n0 != sK20 )
& ( n2 != sK20
| n1 != sK21 )
& ( n2 != sK21
| n5 != sK20 )
& ( n4 != sK20
| n2 != sK21 )
& ( n3 != sK21
| n5 != sK20 ) ) ),
introduced(choice_axiom,[]) ).
fof(f216,plain,
? [X0,X1] :
( ( n0 != X0
| n2 != X1 )
& n1 = X0
& n0 != times(divide(n1,n400),a_select2(sigma,n1))
& ( n4 != X1
| n1 != X0 )
& n5 = X1
& ( n2 != X1
| n3 != X0 )
& ( n0 != X1
| n4 != X0 )
& ( n1 != X0
| n2 != X1 )
& leq(n0,X0)
& ( n0 != X1
| n5 != X0 )
& ( n4 != X1
| n5 != X0 )
& ( n1 != X1
| n4 != X0 )
& ( n0 != X0
| n4 != X1 )
& leq(X0,n5)
& ( n3 != X0
| n5 != X1 )
& ( n0 != X1
| n3 != X0 )
& ( n3 != X0
| n1 != X1 )
& ( n4 != X0
| n3 != X1 )
& ( n2 != X0
| n3 != X1 )
& ( n4 != X1
| n4 != X0 )
& leq(X1,n5)
& ( n2 != X0
| n4 != X1 )
& leq(n0,X1)
& ( n0 != X0
| n5 != X1 )
& ( n1 != X0
| n5 != X1 )
& ( n4 != X0
| n5 != X1 )
& ( n1 != X1
| n5 != X0 )
& ( n5 != X1
| n5 != X0 )
& ( n5 != X1
| n2 != X0 )
& n1 = X1
& n2 = X0
& ( n3 != X0
| n3 != X1 )
& ( n4 != X1
| n3 != X0 )
& ( n2 != X1
| n2 != X0 )
& ( n3 != X1
| n1 != X0 )
& ( n3 != X1
| n0 != X0 )
& ( n2 != X0
| n1 != X1 )
& ( n2 != X1
| n5 != X0 )
& ( n4 != X0
| n2 != X1 )
& ( n3 != X1
| n5 != X0 ) ),
inference(rectify,[],[f159]) ).
fof(f159,plain,
? [X1,X0] :
( ( n0 != X1
| n2 != X0 )
& n1 = X1
& n0 != times(divide(n1,n400),a_select2(sigma,n1))
& ( n4 != X0
| n1 != X1 )
& n5 = X0
& ( n2 != X0
| n3 != X1 )
& ( n0 != X0
| n4 != X1 )
& ( n1 != X1
| n2 != X0 )
& leq(n0,X1)
& ( n0 != X0
| n5 != X1 )
& ( n4 != X0
| n5 != X1 )
& ( n1 != X0
| n4 != X1 )
& ( n0 != X1
| n4 != X0 )
& leq(X1,n5)
& ( n3 != X1
| n5 != X0 )
& ( n0 != X0
| n3 != X1 )
& ( n3 != X1
| n1 != X0 )
& ( n4 != X1
| n3 != X0 )
& ( n2 != X1
| n3 != X0 )
& ( n4 != X0
| n4 != X1 )
& leq(X0,n5)
& ( n2 != X1
| n4 != X0 )
& leq(n0,X0)
& ( n0 != X1
| n5 != X0 )
& ( n1 != X1
| n5 != X0 )
& ( n4 != X1
| n5 != X0 )
& ( n1 != X0
| n5 != X1 )
& ( n5 != X0
| n5 != X1 )
& ( n5 != X0
| n2 != X1 )
& n1 = X0
& n2 = X1
& ( n3 != X1
| n3 != X0 )
& ( n4 != X0
| n3 != X1 )
& ( n2 != X0
| n2 != X1 )
& ( n3 != X0
| n1 != X1 )
& ( n3 != X0
| n0 != X1 )
& ( n2 != X1
| n1 != X0 )
& ( n2 != X0
| n5 != X1 )
& ( n4 != X1
| n2 != X0 )
& ( n3 != X0
| n5 != X1 ) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
? [X1,X0] :
( n0 != times(divide(n1,n400),a_select2(sigma,n1))
& ( n4 != X0
| n5 != X1 )
& n2 = X1
& ( n2 != X1
| n1 != X0 )
& n1 = X1
& ( n1 != X0
| n5 != X1 )
& ( n4 != X1
| n3 != X0 )
& ( n2 != X0
| n5 != X1 )
& n5 = X0
& ( n4 != X1
| n5 != X0 )
& ( n3 != X1
| n5 != X0 )
& ( n0 != X0
| n5 != X1 )
& ( n3 != X1
| n1 != X0 )
& ( n0 != X1
| n2 != X0 )
& ( n4 != X0
| n1 != X1 )
& ( n5 != X0
| n5 != X1 )
& ( n1 != X1
| n2 != X0 )
& ( n3 != X1
| n3 != X0 )
& ( n2 != X1
| n4 != X0 )
& ( n2 != X0
| n2 != X1 )
& ( n1 != X0
| n4 != X1 )
& ( n3 != X0
| n1 != X1 )
& ( n2 != X0
| n3 != X1 )
& ( n4 != X1
| n2 != X0 )
& ( n5 != X0
| n2 != X1 )
& ( n3 != X0
| n0 != X1 )
& n1 = X0
& ( n0 != X1
| n5 != X0 )
& ( n1 != X1
| n5 != X0 )
& ( n3 != X0
| n5 != X1 )
& ( n0 != X0
| n3 != X1 )
& ( n2 != X1
| n3 != X0 )
& ( n0 != X0
| n4 != X1 )
& ( n4 != X0
| n4 != X1 )
& ( n4 != X0
| n3 != X1 )
& ( n0 != X1
| n4 != X0 )
& leq(n0,X0)
& leq(X0,n5)
& leq(X1,n5)
& leq(n0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
~ ! [X1,X0] :
( ( leq(n0,X0)
& leq(X0,n5)
& leq(X1,n5)
& leq(n0,X1) )
=> ( ( ~ ( n5 = X1
& n4 = X0 )
& n2 = X1
& ~ ( n1 = X0
& n2 = X1 )
& n1 = X1
& ~ ( n5 = X1
& n1 = X0 )
& ~ ( n4 = X1
& n3 = X0 )
& ~ ( n5 = X1
& n2 = X0 )
& n5 = X0
& ~ ( n5 = X0
& n4 = X1 )
& ~ ( n5 = X0
& n3 = X1 )
& ~ ( n0 = X0
& n5 = X1 )
& ~ ( n3 = X1
& n1 = X0 )
& ~ ( n0 = X1
& n2 = X0 )
& ~ ( n1 = X1
& n4 = X0 )
& ~ ( n5 = X0
& n5 = X1 )
& ~ ( n2 = X0
& n1 = X1 )
& ~ ( n3 = X0
& n3 = X1 )
& ~ ( n2 = X1
& n4 = X0 )
& ~ ( n2 = X0
& n2 = X1 )
& ~ ( n1 = X0
& n4 = X1 )
& ~ ( n1 = X1
& n3 = X0 )
& ~ ( n2 = X0
& n3 = X1 )
& ~ ( n4 = X1
& n2 = X0 )
& ~ ( n5 = X0
& n2 = X1 )
& ~ ( n3 = X0
& n0 = X1 )
& n1 = X0
& ~ ( n5 = X0
& n0 = X1 )
& ~ ( n1 = X1
& n5 = X0 )
& ~ ( n5 = X1
& n3 = X0 )
& ~ ( n0 = X0
& n3 = X1 )
& ~ ( n2 = X1
& n3 = X0 )
& ~ ( n0 = X0
& n4 = X1 )
& ~ ( n4 = X1
& n4 = X0 )
& ~ ( n3 = X1
& n4 = X0 )
& ~ ( n4 = X0
& n0 = X1 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n1)) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X17,X13] :
( ( leq(n0,X17)
& leq(X17,n5)
& leq(X13,n5)
& leq(n0,X13) )
=> ( ( ~ ( n5 = X13
& n5 = X17 )
& ~ ( n3 = X13
& n1 = X17 )
& ~ ( n3 = X13
& n2 = X17 )
& ~ ( n4 = X17
& n5 = X13 )
& ~ ( n3 = X17
& n2 = X13 )
& ~ ( n5 = X17
& n0 = X13 )
& ~ ( n2 = X17
& n4 = X13 )
& ~ ( n4 = X17
& n2 = X13 )
& n1 = X17
& ~ ( n3 = X17
& n3 = X13 )
& ~ ( n4 = X17
& n4 = X13 )
& ~ ( n5 = X13
& n0 = X17 )
& ~ ( n2 = X13
& n1 = X17 )
& ~ ( n4 = X17
& n1 = X13 )
& ~ ( n0 = X13
& n4 = X17 )
& ~ ( n5 = X17
& n3 = X13 )
& ~ ( n3 = X17
& n4 = X13 )
& ~ ( n1 = X13
& n5 = X17 )
& ~ ( n4 = X13
& n0 = X17 )
& n2 = X13
& ~ ( n2 = X17
& n5 = X13 )
& ~ ( n1 = X13
& n2 = X17 )
& ~ ( n0 = X17
& n3 = X13 )
& ~ ( n2 = X17
& n2 = X13 )
& ~ ( n3 = X17
& n1 = X13 )
& ~ ( n2 = X13
& n5 = X17 )
& ~ ( n5 = X13
& n1 = X17 )
& ~ ( n0 = X13
& n2 = X17 )
& ~ ( n4 = X17
& n3 = X13 )
& n1 = X13
& ~ ( n5 = X13
& n3 = X17 )
& ~ ( n3 = X17
& n0 = X13 )
& n5 = X17
& ~ ( n4 = X13
& n1 = X17 )
& ~ ( n5 = X17
& n4 = X13 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n1)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X17,X13] :
( ( leq(n0,X17)
& leq(X17,n5)
& leq(X13,n5)
& leq(n0,X13) )
=> ( ( ~ ( n5 = X13
& n5 = X17 )
& ~ ( n3 = X13
& n1 = X17 )
& ~ ( n3 = X13
& n2 = X17 )
& ~ ( n4 = X17
& n5 = X13 )
& ~ ( n3 = X17
& n2 = X13 )
& ~ ( n5 = X17
& n0 = X13 )
& ~ ( n2 = X17
& n4 = X13 )
& ~ ( n4 = X17
& n2 = X13 )
& n1 = X17
& ~ ( n3 = X17
& n3 = X13 )
& ~ ( n4 = X17
& n4 = X13 )
& ~ ( n5 = X13
& n0 = X17 )
& ~ ( n2 = X13
& n1 = X17 )
& ~ ( n4 = X17
& n1 = X13 )
& ~ ( n0 = X13
& n4 = X17 )
& ~ ( n5 = X17
& n3 = X13 )
& ~ ( n3 = X17
& n4 = X13 )
& ~ ( n1 = X13
& n5 = X17 )
& ~ ( n4 = X13
& n0 = X17 )
& n2 = X13
& ~ ( n2 = X17
& n5 = X13 )
& ~ ( n1 = X13
& n2 = X17 )
& ~ ( n0 = X17
& n3 = X13 )
& ~ ( n2 = X17
& n2 = X13 )
& ~ ( n3 = X17
& n1 = X13 )
& ~ ( n2 = X13
& n5 = X17 )
& ~ ( n5 = X13
& n1 = X17 )
& ~ ( n0 = X13
& n2 = X17 )
& ~ ( n4 = X17
& n3 = X13 )
& n1 = X13
& ~ ( n5 = X13
& n3 = X17 )
& ~ ( n3 = X17
& n0 = X13 )
& n5 = X17
& ~ ( n4 = X13
& n1 = X17 )
& ~ ( n5 = X17
& n4 = X13 ) )
=> n0 = times(divide(n1,n400),a_select2(sigma,n1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_symm_0121) ).
fof(f356,plain,
n5 = sK21,
inference(cnf_transformation,[],[f218]) ).
fof(f332,plain,
( n5 != sK21
| n2 != sK20 ),
inference(cnf_transformation,[],[f218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV214+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 19:18:06 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (30909)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50 % (30908)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.51 % (30906)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.51 % (30916)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51 % (30933)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.52 % (30910)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (30911)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.52 % (30908)First to succeed.
% 0.21/0.52 % (30920)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.52 % (30925)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52 % (30908)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (30908)------------------------------
% 0.21/0.52 % (30908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (30908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (30908)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (30908)Memory used [KB]: 1279
% 0.21/0.52 % (30908)Time elapsed: 0.008 s
% 0.21/0.52 % (30908)Instructions burned: 10 (million)
% 0.21/0.52 % (30908)------------------------------
% 0.21/0.52 % (30908)------------------------------
% 0.21/0.52 % (30904)Success in time 0.166 s
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