TSTP Solution File: NUM845+2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM845+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n022.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 18:02:33 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 53 ( 37 unt; 0 def)
% Number of atoms : 71 ( 70 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 5 |; 8 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 48 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f118,plain,
$false,
inference(subsumption_resolution,[],[f117,f102]) ).
fof(f102,plain,
vmul(vplus(vd411,v1),vplus(v1,sK0)) != vplus(v1,vplus(sK0,vmul(vd411,vplus(v1,sK0)))),
inference(forward_demodulation,[],[f99,f46]) ).
fof(f46,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] : vplus(X1,X0) = vplus(X0,X1),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X5,X4] : vplus(X5,X4) = vplus(X4,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f99,plain,
vmul(vplus(vd411,v1),vplus(v1,sK0)) != vplus(v1,vplus(vmul(vd411,vplus(v1,sK0)),sK0)),
inference(superposition,[],[f75,f70]) ).
fof(f70,plain,
! [X0,X1] : vplus(X1,vplus(v1,X0)) = vplus(v1,vplus(X1,X0)),
inference(definition_unfolding,[],[f56,f42,f42]) ).
fof(f42,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] : vsucc(X0) = vplus(v1,X0),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X6] : vplus(v1,X6) = vsucc(X6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f56,plain,
! [X0,X1] : vplus(X1,vsucc(X0)) = vsucc(vplus(X1,X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( vplus(X1,vsucc(X0)) = vsucc(vplus(X1,X0))
& vsucc(X1) = vplus(X1,v1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X11,X10] :
( vplus(X10,vsucc(X11)) = vsucc(vplus(X10,X11))
& vplus(X10,v1) = vsucc(X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f75,plain,
vmul(vplus(vd411,v1),vplus(v1,sK0)) != vplus(vmul(vd411,vplus(v1,sK0)),vplus(v1,sK0)),
inference(forward_demodulation,[],[f63,f46]) ).
fof(f63,plain,
vplus(vmul(vd411,vplus(v1,sK0)),vplus(v1,sK0)) != vmul(vplus(v1,vd411),vplus(v1,sK0)),
inference(definition_unfolding,[],[f48,f42,f42,f42,f42]) ).
fof(f48,plain,
vplus(vmul(vd411,vsucc(sK0)),vsucc(sK0)) != vmul(vsucc(vd411),vsucc(sK0)),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( vplus(vmul(vd411,vsucc(sK0)),vsucc(sK0)) != vmul(vsucc(vd411),vsucc(sK0))
& vplus(vmul(vd411,sK0),sK0) = vmul(vsucc(vd411),sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f35,f39]) ).
fof(f39,plain,
( ? [X0] :
( vmul(vsucc(vd411),vsucc(X0)) != vplus(vmul(vd411,vsucc(X0)),vsucc(X0))
& vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0) )
=> ( vplus(vmul(vd411,vsucc(sK0)),vsucc(sK0)) != vmul(vsucc(vd411),vsucc(sK0))
& vplus(vmul(vd411,sK0),sK0) = vmul(vsucc(vd411),sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0] :
( vmul(vsucc(vd411),vsucc(X0)) != vplus(vmul(vd411,vsucc(X0)),vsucc(X0))
& vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
=> vmul(vsucc(vd411),vsucc(X0)) = vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
=> vmul(vsucc(vd411),vsucc(X0)) = vplus(vmul(vd411,vsucc(X0)),vsucc(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(ind(267), imp(267))') ).
fof(f117,plain,
vmul(vplus(vd411,v1),vplus(v1,sK0)) = vplus(v1,vplus(sK0,vmul(vd411,vplus(v1,sK0)))),
inference(forward_demodulation,[],[f116,f73]) ).
fof(f73,plain,
! [X0,X1] : vmul(X1,vplus(v1,X0)) = vplus(vmul(X1,X0),X1),
inference(definition_unfolding,[],[f58,f42]) ).
fof(f58,plain,
! [X0,X1] : vmul(X1,vsucc(X0)) = vplus(vmul(X1,X0),X1),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( vmul(X1,v1) = X1
& vmul(X1,vsucc(X0)) = vplus(vmul(X1,X0),X1) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X3,X2] :
( vmul(X2,vsucc(X3)) = vplus(vmul(X2,X3),X2)
& vmul(X2,v1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(f116,plain,
vmul(vplus(vd411,v1),vplus(v1,sK0)) = vplus(v1,vplus(sK0,vplus(vmul(vd411,sK0),vd411))),
inference(backward_demodulation,[],[f98,f109]) ).
fof(f109,plain,
! [X2] : vplus(sK0,vplus(vmul(vd411,sK0),X2)) = vplus(vmul(vd411,sK0),vplus(X2,sK0)),
inference(superposition,[],[f104,f46]) ).
fof(f104,plain,
! [X0] : vplus(vmul(vd411,sK0),vplus(sK0,X0)) = vplus(sK0,vplus(vmul(vd411,sK0),X0)),
inference(backward_demodulation,[],[f88,f103]) ).
fof(f103,plain,
! [X0] : vplus(sK0,vplus(vmul(vd411,sK0),X0)) = vplus(vmul(vplus(vd411,v1),sK0),X0),
inference(superposition,[],[f51,f90]) ).
fof(f90,plain,
vmul(vplus(vd411,v1),sK0) = vplus(sK0,vmul(vd411,sK0)),
inference(superposition,[],[f46,f74]) ).
fof(f74,plain,
vplus(vmul(vd411,sK0),sK0) = vmul(vplus(vd411,v1),sK0),
inference(forward_demodulation,[],[f64,f46]) ).
fof(f64,plain,
vplus(vmul(vd411,sK0),sK0) = vmul(vplus(v1,vd411),sK0),
inference(definition_unfolding,[],[f47,f42]) ).
fof(f47,plain,
vplus(vmul(vd411,sK0),sK0) = vmul(vsucc(vd411),sK0),
inference(cnf_transformation,[],[f40]) ).
fof(f51,plain,
! [X2,X0,X1] : vplus(X2,vplus(X0,X1)) = vplus(vplus(X2,X0),X1),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] : vplus(X2,vplus(X0,X1)) = vplus(vplus(X2,X0),X1),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X2,X0,X1] : vplus(X1,vplus(X2,X0)) = vplus(vplus(X1,X2),X0),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X9,X7,X8] : vplus(vplus(X7,X8),X9) = vplus(X7,vplus(X8,X9)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f88,plain,
! [X0] : vplus(vmul(vd411,sK0),vplus(sK0,X0)) = vplus(vmul(vplus(vd411,v1),sK0),X0),
inference(superposition,[],[f51,f74]) ).
fof(f98,plain,
vmul(vplus(vd411,v1),vplus(v1,sK0)) = vplus(v1,vplus(vmul(vd411,sK0),vplus(vd411,sK0))),
inference(forward_demodulation,[],[f97,f46]) ).
fof(f97,plain,
vplus(v1,vplus(vmul(vd411,sK0),vplus(vd411,sK0))) = vmul(vplus(v1,vd411),vplus(v1,sK0)),
inference(forward_demodulation,[],[f96,f73]) ).
fof(f96,plain,
vplus(vmul(vplus(v1,vd411),sK0),vplus(v1,vd411)) = vplus(v1,vplus(vmul(vd411,sK0),vplus(vd411,sK0))),
inference(forward_demodulation,[],[f95,f46]) ).
fof(f95,plain,
vplus(vmul(vplus(v1,vd411),sK0),vplus(v1,vd411)) = vplus(v1,vplus(vmul(vd411,sK0),vplus(sK0,vd411))),
inference(forward_demodulation,[],[f94,f70]) ).
fof(f94,plain,
vplus(vmul(vplus(v1,vd411),sK0),vplus(v1,vd411)) = vplus(vmul(vd411,sK0),vplus(v1,vplus(sK0,vd411))),
inference(forward_demodulation,[],[f93,f70]) ).
fof(f93,plain,
vplus(vmul(vplus(v1,vd411),sK0),vplus(v1,vd411)) = vplus(vmul(vd411,sK0),vplus(sK0,vplus(v1,vd411))),
inference(forward_demodulation,[],[f92,f88]) ).
fof(f92,plain,
vplus(vmul(vplus(v1,vd411),sK0),vplus(v1,vd411)) = vplus(vmul(vplus(vd411,v1),sK0),vplus(v1,vd411)),
inference(trivial_inequality_removal,[],[f91]) ).
fof(f91,plain,
( vplus(vmul(vplus(v1,vd411),sK0),vplus(v1,vd411)) = vplus(vmul(vplus(vd411,v1),sK0),vplus(v1,vd411))
| vmul(vplus(vd411,v1),sK0) != vmul(vplus(vd411,v1),sK0) ),
inference(forward_demodulation,[],[f82,f46]) ).
fof(f82,plain,
( vmul(vplus(vd411,v1),sK0) != vmul(vplus(v1,vd411),sK0)
| vplus(vmul(vplus(v1,vd411),sK0),vplus(v1,vd411)) = vplus(vmul(vplus(vd411,v1),sK0),vplus(v1,vd411)) ),
inference(superposition,[],[f66,f74]) ).
fof(f66,plain,
! [X0] :
( vplus(vplus(vmul(vd411,X0),X0),vplus(v1,vd411)) = vplus(vmul(vplus(v1,vd411),X0),vplus(v1,vd411))
| vplus(vmul(vd411,X0),X0) != vmul(vplus(v1,vd411),X0) ),
inference(definition_unfolding,[],[f50,f42,f42,f42,f42]) ).
fof(f50,plain,
! [X0] :
( vplus(vplus(vmul(vd411,X0),X0),vsucc(vd411)) = vplus(vmul(vsucc(vd411),X0),vsucc(vd411))
| vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( vplus(vplus(vmul(vd411,X0),X0),vsucc(vd411)) = vplus(vmul(vsucc(vd411),X0),vsucc(vd411))
| vmul(vsucc(vd411),X0) != vplus(vmul(vd411,X0),X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( vmul(vsucc(vd411),X0) = vplus(vmul(vd411,X0),X0)
=> vplus(vplus(vmul(vd411,X0),X0),vsucc(vd411)) = vplus(vmul(vsucc(vd411),X0),vsucc(vd411)) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1] :
( vmul(vsucc(vd411),X1) = vplus(vmul(vd411,X1),X1)
=> vplus(vplus(vmul(vd411,X1),X1),vsucc(vd411)) = vplus(vmul(vsucc(vd411),X1),vsucc(vd411)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(conseq(263), 1), 6)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM845+2 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 09:03:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.53 % (18117)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.53 % (18126)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53 % (18126)Refutation not found, incomplete strategy% (18126)------------------------------
% 0.19/0.53 % (18126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (18126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (18126)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (18126)Memory used [KB]: 5884
% 0.19/0.53 % (18126)Time elapsed: 0.126 s
% 0.19/0.53 % (18126)Instructions burned: 2 (million)
% 0.19/0.53 % (18126)------------------------------
% 0.19/0.53 % (18126)------------------------------
% 0.19/0.53 % (18123)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.53 % (18117)Refutation not found, incomplete strategy% (18117)------------------------------
% 0.19/0.53 % (18117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (18117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (18117)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (18117)Memory used [KB]: 5884
% 0.19/0.53 % (18117)Time elapsed: 0.126 s
% 0.19/0.53 % (18117)Instructions burned: 2 (million)
% 0.19/0.53 % (18117)------------------------------
% 0.19/0.53 % (18117)------------------------------
% 0.19/0.54 % (18113)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (18112)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (18105)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.54 % (18105)First to succeed.
% 0.19/0.54 % (18104)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.54 % (18110)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.55 % (18110)Refutation not found, incomplete strategy% (18110)------------------------------
% 0.19/0.55 % (18110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (18110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (18110)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (18110)Memory used [KB]: 1407
% 0.19/0.55 % (18110)Time elapsed: 0.139 s
% 0.19/0.55 % (18110)Instructions burned: 3 (million)
% 0.19/0.55 % (18110)------------------------------
% 0.19/0.55 % (18110)------------------------------
% 0.19/0.55 % (18125)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.55 % (18118)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.55 % (18120)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.55 % (18121)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.55 % (18099)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.55 % (18118)Refutation not found, incomplete strategy% (18118)------------------------------
% 0.19/0.55 % (18118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (18118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (18118)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (18118)Memory used [KB]: 5884
% 0.19/0.55 % (18118)Time elapsed: 0.141 s
% 0.19/0.55 % (18118)Instructions burned: 4 (million)
% 0.19/0.55 % (18118)------------------------------
% 0.19/0.55 % (18118)------------------------------
% 0.19/0.55 % (18113)Instruction limit reached!
% 0.19/0.55 % (18113)------------------------------
% 0.19/0.55 % (18113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (18113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (18113)Termination reason: Unknown
% 0.19/0.55 % (18113)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (18113)Memory used [KB]: 6012
% 0.19/0.55 % (18105)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (18105)------------------------------
% 0.19/0.55 % (18105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (18105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (18105)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (18105)Memory used [KB]: 6012
% 0.19/0.55 % (18105)Time elapsed: 0.130 s
% 0.19/0.55 % (18105)Instructions burned: 5 (million)
% 0.19/0.55 % (18105)------------------------------
% 0.19/0.55 % (18105)------------------------------
% 0.19/0.55 % (18097)Success in time 0.203 s
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