%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : CSR070+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:05:43 PM UTC 2026
% Result : Theorem 71.32s 19.47s
% Output : Proof 71.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 18
% Syntax : Number of formulae : 101 ( 49 unt; 0 def)
% Number of atoms : 161 ( 31 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 144 ( 84 ~; 42 |; 10 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 104 ( 2 sgn 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1131,conjecture,
( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query120) ).
fof(f1131_neg,negated_conjecture,
~ ( mtvisible(c_tptp_spindlecollectormt)
=> tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
inference(negated_conjecture,[status(cth)],[f1131]) ).
fof(f1131_nnf,plain,
( ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
& mtvisible(c_tptp_spindlecollectormt) ),
inference(nnf_transformation,[status(thm)],[f1131_neg]) ).
fof(f1131_sk,plain,
( ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
& mtvisible(c_tptp_spindlecollectormt) ),
inference(skolemisation,[status(esa)],[f1131_nnf]) ).
cnf(c1132,plain,
~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(cnf_transformation,[status(esa)],[f1131_sk]) ).
cnf(t126,plain,
ifeq(tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c1132]) ).
cnf(t226,plain,
ifeq(tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),true,false,true) = true,
inference(orient,[status(thm)],[t126]) ).
fof(f415,axiom,
! [ARG1,ARG2] :
( tptptypes_6_818(ARG1,ARG2)
=> tptptypes_5_802(ARG1,ARG2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_416) ).
fof(f415_nnf,plain,
! [ARG1,ARG2] :
( tptptypes_5_802(ARG1,ARG2)
| ~ tptptypes_6_818(ARG1,ARG2) ),
inference(nnf_transformation,[status(thm)],[f415]) ).
fof(f415_sk,plain,
! [ARG1,ARG2] :
( tptptypes_5_802(ARG1,ARG2)
| ~ tptptypes_6_818(ARG1,ARG2) ),
inference(skolemisation,[status(esa)],[f415_nnf]) ).
cnf(c415,plain,
( tptptypes_5_802(X0,X1)
| ~ tptptypes_6_818(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f415_sk]) ).
cnf(t121,plain,
ifeq(tptptypes_6_818(X1,X2),true,tptptypes_5_802(X1,X2),true) = true,
inference(equality_encoding,[status(esa)],[c415]) ).
cnf(t223,plain,
ifeq(tptptypes_6_818(X1,X2),true,tptptypes_5_802(X1,X2),true) = true,
inference(orient,[status(thm)],[t121]) ).
fof(f138,axiom,
! [ARG1,ARG2] :
( tptptypes_7_819(ARG1,ARG2)
=> tptptypes_6_818(ARG1,ARG2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_139) ).
fof(f138_nnf,plain,
! [ARG1,ARG2] :
( tptptypes_6_818(ARG1,ARG2)
| ~ tptptypes_7_819(ARG1,ARG2) ),
inference(nnf_transformation,[status(thm)],[f138]) ).
fof(f138_sk,plain,
! [ARG1,ARG2] :
( tptptypes_6_818(ARG1,ARG2)
| ~ tptptypes_7_819(ARG1,ARG2) ),
inference(skolemisation,[status(esa)],[f138_nnf]) ).
cnf(c138,plain,
( tptptypes_6_818(X0,X1)
| ~ tptptypes_7_819(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f138_sk]) ).
cnf(t122,plain,
ifeq(tptptypes_7_819(X1,X2),true,tptptypes_6_818(X1,X2),true) = true,
inference(equality_encoding,[status(esa)],[c138]) ).
cnf(t212,plain,
ifeq(tptptypes_7_819(X1,X2),true,tptptypes_6_818(X1,X2),true) = true,
inference(orient,[status(thm)],[t122]) ).
fof(f1122,axiom,
! [SPECMT,GENLMT] :
( ( genlmt(SPECMT,GENLMT)
& mtvisible(SPECMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_1123) ).
fof(f1122_nnf,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(nnf_transformation,[status(thm)],[f1122]) ).
fof(f1122_sk,plain,
! [SPECMT,GENLMT] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(skolemisation,[status(esa)],[f1122_nnf]) ).
cnf(c1122,plain,
( mtvisible(X1)
| ~ genlmt(X0,X1)
| ~ mtvisible(X0) ),
inference(cnf_transformation,[status(esa)],[f1122_sk]) ).
cnf(hi1113,axiom,
ifeq(mtvisible(X0),true,ifeq(genlmt(X0,X1),true,mtvisible(X1),true),true) = true,
inference(equality_encoding,[status(esa)],[c1122]) ).
cnf(c1131,plain,
mtvisible(c_tptp_spindlecollectormt),
inference(cnf_transformation,[status(esa)],[f1131_sk]) ).
cnf(hi1122,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt) = true,
inference(equality_encoding,[status(esa)],[c1131]) ).
fof(f349,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_350) ).
fof(f349_nnf,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
inference(nnf_transformation,[status(thm)],[f349]) ).
cnf(c349,plain,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
inference(cnf_transformation,[status(esa)],[f349_nnf]) ).
cnf(hi345,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt) = true,
inference(equality_encoding,[status(esa)],[c349]) ).
cnf(h564,plain,
mtvisible(c_tptp_member2668_mt) = true,
inference(hyper_resolution,[status(thm)],[hi1113,hi1122,hi345]) ).
fof(f177,axiom,
( mtvisible(c_tptp_member2668_mt)
=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_178) ).
fof(f177_nnf,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ mtvisible(c_tptp_member2668_mt) ),
inference(nnf_transformation,[status(thm)],[f177]) ).
fof(f177_sk,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ mtvisible(c_tptp_member2668_mt) ),
inference(skolemisation,[status(esa)],[f177_nnf]) ).
cnf(c177,plain,
( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
| ~ mtvisible(c_tptp_member2668_mt) ),
inference(cnf_transformation,[status(esa)],[f177_sk]) ).
cnf(hi174,axiom,
ifeq(mtvisible(c_tptp_member2668_mt),true,tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),true) = true,
inference(equality_encoding,[status(esa)],[c177]) ).
cnf(h1857,plain,
tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) = true,
inference(hyper_resolution,[status(thm)],[hi174,h564]) ).
fof(f426,axiom,
! [ARG1,ARG2] :
( tptptypes_9_824(ARG1,ARG2)
=> tptptypes_8_823(ARG1,ARG2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_427) ).
fof(f426_nnf,plain,
! [ARG1,ARG2] :
( tptptypes_8_823(ARG1,ARG2)
| ~ tptptypes_9_824(ARG1,ARG2) ),
inference(nnf_transformation,[status(thm)],[f426]) ).
fof(f426_sk,plain,
! [ARG1,ARG2] :
( tptptypes_8_823(ARG1,ARG2)
| ~ tptptypes_9_824(ARG1,ARG2) ),
inference(skolemisation,[status(esa)],[f426_nnf]) ).
cnf(c426,plain,
( tptptypes_8_823(X0,X1)
| ~ tptptypes_9_824(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f426_sk]) ).
cnf(hi421,axiom,
ifeq(tptptypes_9_824(X0,X1),true,tptptypes_8_823(X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c426]) ).
cnf(h4284,plain,
tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) = true,
inference(hyper_resolution,[status(thm)],[hi421,h1857]) ).
fof(f270,axiom,
! [ARG1,ARG2] :
( tptptypes_8_823(ARG1,ARG2)
=> tptptypes_7_819(ARG1,ARG2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_271) ).
fof(f270_nnf,plain,
! [ARG1,ARG2] :
( tptptypes_7_819(ARG1,ARG2)
| ~ tptptypes_8_823(ARG1,ARG2) ),
inference(nnf_transformation,[status(thm)],[f270]) ).
fof(f270_sk,plain,
! [ARG1,ARG2] :
( tptptypes_7_819(ARG1,ARG2)
| ~ tptptypes_8_823(ARG1,ARG2) ),
inference(skolemisation,[status(esa)],[f270_nnf]) ).
cnf(c270,plain,
( tptptypes_7_819(X0,X1)
| ~ tptptypes_8_823(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f270_sk]) ).
cnf(hi267,axiom,
ifeq(tptptypes_8_823(X0,X1),true,tptptypes_7_819(X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c270]) ).
cnf(t57,plain,
tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) = true,
inference(hyper_resolution,[status(thm)],[hi267,h4284]) ).
cnf(t648,plain,
tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) = true,
inference(orient,[status(thm)],[t57]) ).
cnf(t650,plain,
true = ifeq(true,true,tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),true),
inference(cp,[status(thm)],[t212,t648]) ).
cnf(t50,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t156,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t50]) ).
cnf(t1423,plain,
true = tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(step,[status(thm)],[t650,t156]) ).
cnf(t1322,plain,
tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) = true,
inference(orient,[status(thm)],[t1423]) ).
cnf(t1323,plain,
true = ifeq(true,true,tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),true),
inference(cp,[status(thm)],[t223,t1322]) ).
cnf(t1425,plain,
true = tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
inference(step,[status(thm)],[t1323,t156]) ).
cnf(t1335,plain,
tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) = true,
inference(orient,[status(thm)],[t1425]) ).
cnf(t1426,plain,
ifeq(true,true,false,true) = true,
inference(step,[status(thm)],[t226,t1335]) ).
cnf(t1427,plain,
false = true,
inference(step,[status(thm)],[t1426,t156]) ).
cnf(t1336,plain,
false = true,
inference(rw,[status(thm)],[t1427]) ).
cnf(t1337,plain,
false = true,
inference(orient,[status(thm)],[t1336]) ).
fof(f2,axiom,
! [OBJ] :
~ ( partiallytangible(OBJ)
& intangible(OBJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_3) ).
fof(f2_nnf,plain,
! [OBJ] :
( ~ partiallytangible(OBJ)
| ~ intangible(OBJ) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [OBJ] :
( ~ partiallytangible(OBJ)
| ~ intangible(OBJ) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ partiallytangible(X0)
| ~ intangible(X0) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
fof(f152,axiom,
! [OBJ] :
~ ( tptpcol_1_65536(OBJ)
& tptpcol_1_1(OBJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_153) ).
fof(f152_nnf,plain,
! [OBJ] :
( ~ tptpcol_1_65536(OBJ)
| ~ tptpcol_1_1(OBJ) ),
inference(nnf_transformation,[status(thm)],[f152]) ).
fof(f152_sk,plain,
! [OBJ] :
( ~ tptpcol_1_65536(OBJ)
| ~ tptpcol_1_1(OBJ) ),
inference(skolemisation,[status(esa)],[f152_nnf]) ).
cnf(c152,plain,
( ~ tptpcol_1_65536(X0)
| ~ tptpcol_1_1(X0) ),
inference(cnf_transformation,[status(esa)],[f152_sk]) ).
fof(f166,axiom,
! [OBJ] :
~ ( setorcollection(OBJ)
& individual(OBJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_167) ).
fof(f166_nnf,plain,
! [OBJ] :
( ~ setorcollection(OBJ)
| ~ individual(OBJ) ),
inference(nnf_transformation,[status(thm)],[f166]) ).
fof(f166_sk,plain,
! [OBJ] :
( ~ setorcollection(OBJ)
| ~ individual(OBJ) ),
inference(skolemisation,[status(esa)],[f166_nnf]) ).
cnf(c166,plain,
( ~ setorcollection(X0)
| ~ individual(X0) ),
inference(cnf_transformation,[status(esa)],[f166_sk]) ).
fof(f288,axiom,
! [OBJ] :
~ ( individual(OBJ)
& collection(OBJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_289) ).
fof(f288_nnf,plain,
! [OBJ] :
( ~ individual(OBJ)
| ~ collection(OBJ) ),
inference(nnf_transformation,[status(thm)],[f288]) ).
fof(f288_sk,plain,
! [OBJ] :
( ~ individual(OBJ)
| ~ collection(OBJ) ),
inference(skolemisation,[status(esa)],[f288_nnf]) ).
cnf(c288,plain,
( ~ individual(X0)
| ~ collection(X0) ),
inference(cnf_transformation,[status(esa)],[f288_sk]) ).
fof(f362,axiom,
! [OBJ,COL1,COL2] :
~ ( disjointwith(COL1,COL2)
& isa(OBJ,COL2)
& isa(OBJ,COL1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_363) ).
fof(f362_nnf,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(nnf_transformation,[status(thm)],[f362]) ).
fof(f362_sk,plain,
! [OBJ,COL1,COL2] :
( ~ disjointwith(COL1,COL2)
| ~ isa(OBJ,COL2)
| ~ isa(OBJ,COL1) ),
inference(skolemisation,[status(esa)],[f362_nnf]) ).
cnf(c362,plain,
( ~ disjointwith(X1,X2)
| ~ isa(X0,X2)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f362_sk]) ).
fof(f487,axiom,
! [OBJ] :
~ ( tptpcol_3_114688(OBJ)
& tptpcol_3_98305(OBJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_488) ).
fof(f487_nnf,plain,
! [OBJ] :
( ~ tptpcol_3_114688(OBJ)
| ~ tptpcol_3_98305(OBJ) ),
inference(nnf_transformation,[status(thm)],[f487]) ).
fof(f487_sk,plain,
! [OBJ] :
( ~ tptpcol_3_114688(OBJ)
| ~ tptpcol_3_98305(OBJ) ),
inference(skolemisation,[status(esa)],[f487_nnf]) ).
cnf(c487,plain,
( ~ tptpcol_3_114688(X0)
| ~ tptpcol_3_98305(X0) ),
inference(cnf_transformation,[status(esa)],[f487_sk]) ).
fof(f520,axiom,
! [X] : ~ affiliatedwith(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_521) ).
fof(f520_nnf,plain,
! [X] : ~ affiliatedwith(X,X),
inference(nnf_transformation,[status(thm)],[f520]) ).
fof(f520_sk,plain,
! [X] : ~ affiliatedwith(X,X),
inference(skolemisation,[status(esa)],[f520_nnf]) ).
cnf(c520,plain,
~ affiliatedwith(X0,X0),
inference(cnf_transformation,[status(esa)],[f520_sk]) ).
fof(f697,axiom,
! [X] : ~ objectfoundinlocation(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_698) ).
fof(f697_nnf,plain,
! [X] : ~ objectfoundinlocation(X,X),
inference(nnf_transformation,[status(thm)],[f697]) ).
fof(f697_sk,plain,
! [X] : ~ objectfoundinlocation(X,X),
inference(skolemisation,[status(esa)],[f697_nnf]) ).
cnf(c697,plain,
~ objectfoundinlocation(X0,X0),
inference(cnf_transformation,[status(esa)],[f697_sk]) ).
fof(f900,axiom,
! [X] : ~ borderson(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_901) ).
fof(f900_nnf,plain,
! [X] : ~ borderson(X,X),
inference(nnf_transformation,[status(thm)],[f900]) ).
fof(f900_sk,plain,
! [X] : ~ borderson(X,X),
inference(skolemisation,[status(esa)],[f900_nnf]) ).
cnf(c900,plain,
~ borderson(X0,X0),
inference(cnf_transformation,[status(esa)],[f900_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c2,c152,c166,c288,c362,c487,c520,c697,c900,c1132]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1337]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR070+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/10.36 % Computer : n019.cluster.edu
% 0.08/10.36 % Model : x86_64 x86_64
% 0.08/10.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.36 % Memory : 8046.5625MB
% 0.08/10.36 % OS : Linux 6.8.0-71-generic
% 0.08/10.36 % CPULimit : 300
% 0.08/10.36 % WCLimit : 300
% 0.08/10.36 % DateTime : Fri Sep 25 08:55:02 UTC 2026
% 0.08/10.36 % CPUTime :
% 0.08/10.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 71.32/19.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 71.32/19.47 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
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