%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : AGT010+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 : Thu Jul 24 09:08:08 AM UTC 2025
% Result : Theorem 230.67s 29.37s
% Output : CNFRefutation 230.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 29
% Syntax : Number of formulae : 100 ( 53 unt; 0 def)
% Number of atoms : 190 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 155 ( 65 ~; 59 |; 19 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 29 ( 29 usr; 26 con; 0-2 aty)
% Number of variables : 66 ( 7 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(query_10,plain,
~ accept_population(countryamedicalorganization,native,n85),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_10) ).
fof(query_10_negated,plain,
~ ~ accept_population(countryamedicalorganization,native,n85),
inference(negate_conjecture,[status(cth)],[query_10]) ).
cnf(628,plain,
accept_population(countryamedicalorganization,native,n85),
inference(cnf,[status(esa)],[query_10_negated]) ).
cnf(l0,plain,
accept_population(countryamedicalorganization,native,n85),
inference(instantiation,[status(thm)],[628]) ).
fof(a2_7,plain,
! [A] :
( ( accept_population(A,atheist,n12)
& accept_population(A,christian,n3)
& accept_population(A,muslim,n0)
& accept_population(A,native,n85)
& accept_population(A,other,n0) )
<=> accept_city(A,coastvillage) ),
file('Axioms/AGT001+0.ax',a2_7) ).
cnf(47,plain,
( ~ accept_population(X0,other,n0)
| ~ accept_population(X0,atheist,n12)
| ~ accept_population(X0,christian,n3)
| ~ accept_population(X0,muslim,n0)
| ~ accept_population(X0,native,n85)
| accept_city(X0,coastvillage) ),
inference(cnf,[status(esa)],[a2_7]) ).
cnf(l1,plain,
( ~ accept_population(countryamedicalorganization,other,n0)
| ~ accept_population(countryamedicalorganization,atheist,n12)
| ~ accept_population(countryamedicalorganization,christian,n3)
| ~ accept_population(countryamedicalorganization,muslim,n0)
| ~ accept_population(countryamedicalorganization,native,n85)
| accept_city(countryamedicalorganization,coastvillage) ),
inference(instantiation,[status(thm)],[47]) ).
fof(a1_6,plain,
! [A,L,C] :
( the_agent_not_in_any_proposed_teams(A,L,C)
=> ~ ( accept_city(A,C)
& accept_leader(A,L) ) ),
file('Axioms/AGT001+0.ax',a1_6) ).
cnf(9,plain,
( ~ accept_leader(X0,X1)
| ~ accept_city(X0,X2)
| ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
inference(cnf,[status(esa)],[a1_6]) ).
cnf(l524,plain,
( ~ accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization)
| ~ accept_city(countryamedicalorganization,coastvillage)
| ~ the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage) ),
inference(instantiation,[status(thm)],[9]) ).
fof(a1_3,plain,
! [A,N,M,P] :
( ( accept_population(A,P,N)
& less(M,N) )
=> accept_population(A,P,M) ),
file('Axioms/AGT001+0.ax',a1_3) ).
cnf(5,plain,
( ~ less(X0,X1)
| ~ accept_population(X2,X3,X1)
| accept_population(X2,X3,X0) ),
inference(cnf,[status(esa)],[a1_3]) ).
cnf(l517,plain,
( ~ less(n0,n1)
| ~ accept_population(countryamedicalorganization,muslim,n1)
| accept_population(countryamedicalorganization,muslim,n0) ),
inference(instantiation,[status(thm)],[5]) ).
fof(less_entry_point_pos_pos,plain,
! [X,Y,RDN_X,RDN_Y] :
( ( rdn_translate(X,rdn_pos(RDN_X))
& rdn_translate(Y,rdn_pos(RDN_Y))
& rdn_positive_less(RDN_X,RDN_Y) )
=> less(X,Y) ),
file('Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).
cnf(618,plain,
( ~ rdn_translate(X0,rdn_pos(X1))
| ~ rdn_translate(X2,rdn_pos(X3))
| ~ rdn_positive_less(X1,X3)
| less(X0,X2) ),
inference(cnf,[status(esa)],[less_entry_point_pos_pos]) ).
cnf(l519,plain,
( ~ rdn_translate(n0,rdn_pos(rdnn(n0)))
| ~ rdn_translate(n1,rdn_pos(rdnn(n1)))
| ~ rdn_positive_less(rdnn(n0),rdnn(n1))
| less(n0,n1) ),
inference(instantiation,[status(thm)],[618]) ).
fof(a2_9,plain,
! [A] :
( ( accept_population(A,atheist,n75)
& accept_population(A,christian,n24)
& accept_population(A,muslim,n1)
& accept_population(A,native,n0)
& accept_population(A,other,n0) )
<=> accept_city(A,towna) ),
file('Axioms/AGT001+0.ax',a2_9) ).
cnf(64,plain,
( ~ accept_city(X0,towna)
| accept_population(X0,other,n0) ),
inference(cnf,[status(esa)],[a2_9]) ).
cnf(l2,plain,
( ~ accept_city(countryamedicalorganization,towna)
| accept_population(countryamedicalorganization,other,n0) ),
inference(instantiation,[status(thm)],[64]) ).
cnf(l3,plain,
( ~ less(n3,n24)
| ~ accept_population(countryamedicalorganization,christian,n24)
| accept_population(countryamedicalorganization,christian,n3) ),
inference(instantiation,[status(thm)],[5]) ).
fof(rdn0,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('Axioms/NUM005+0.ax',rdn0) ).
cnf(338,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf,[status(esa)],[rdn0]) ).
cnf(l554,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(instantiation,[status(thm)],[338]) ).
fof(a1_1,plain,
! [A,C,N,L] :
( accept_team(A,L,C,N)
<=> ( accept_city(A,C)
& accept_leader(A,L)
& accept_number(A,N) ) ),
file('Axioms/AGT001+0.ax',a1_1) ).
cnf(0,plain,
( ~ accept_team(X0,X1,X2,X3)
| accept_city(X0,X2) ),
inference(cnf,[status(esa)],[a1_1]) ).
cnf(l9,plain,
( ~ accept_team(countryamedicalorganization,sufferterragovernment,towna,n6)
| accept_city(countryamedicalorganization,towna) ),
inference(instantiation,[status(thm)],[0]) ).
fof(event_189,plain,
accept_team(countryamedicalorganization,sufferterragovernment,towna,n6),
file('Axioms/AGT001+1.ax',event_189) ).
cnf(277,plain,
accept_team(countryamedicalorganization,sufferterragovernment,towna,n6),
inference(cnf,[status(esa)],[event_189]) ).
cnf(l46,plain,
accept_team(countryamedicalorganization,sufferterragovernment,towna,n6),
inference(instantiation,[status(thm)],[277]) ).
cnf(61,plain,
( ~ accept_city(X0,towna)
| accept_population(X0,christian,n24) ),
inference(cnf,[status(esa)],[a2_9]) ).
cnf(l16,plain,
( ~ accept_city(countryamedicalorganization,towna)
| accept_population(countryamedicalorganization,christian,n24) ),
inference(instantiation,[status(thm)],[61]) ).
cnf(l19,plain,
( ~ accept_team(countryamedicalorganization,countryacivilorganization,towna,n6)
| accept_city(countryamedicalorganization,towna) ),
inference(instantiation,[status(thm)],[0]) ).
fof(event_37,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('Axioms/AGT001+1.ax',event_37) ).
cnf(125,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf,[status(esa)],[event_37]) ).
cnf(l669,plain,
the_agent_not_in_any_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(instantiation,[status(thm)],[125]) ).
cnf(62,plain,
( ~ accept_city(X0,towna)
| accept_population(X0,muslim,n1) ),
inference(cnf,[status(esa)],[a2_9]) ).
cnf(l873,plain,
( ~ accept_city(countryamedicalorganization,towna)
| accept_population(countryamedicalorganization,muslim,n1) ),
inference(instantiation,[status(thm)],[62]) ).
cnf(l874,plain,
( ~ accept_team(countryamedicalorganization,sufferterragovernment,towna,n5)
| accept_city(countryamedicalorganization,towna) ),
inference(instantiation,[status(thm)],[0]) ).
fof(rdn1,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
file('Axioms/NUM005+0.ax',rdn1) ).
cnf(339,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(cnf,[status(esa)],[rdn1]) ).
cnf(l564,plain,
rdn_translate(n1,rdn_pos(rdnn(n1))),
inference(instantiation,[status(thm)],[339]) ).
fof(event_27,plain,
accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
file('Axioms/AGT001+1.ax',event_27) ).
cnf(115,plain,
accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
inference(cnf,[status(esa)],[event_27]) ).
cnf(l88,plain,
accept_team(countryamedicalorganization,countryacivilorganization,towna,n6),
inference(instantiation,[status(thm)],[115]) ).
cnf(l24,plain,
( ~ rdn_translate(n3,rdn_pos(rdnn(n3)))
| ~ rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2))))
| ~ rdn_positive_less(rdnn(n3),rdn(rdnn(n4),rdnn(n2)))
| less(n3,n24) ),
inference(instantiation,[status(thm)],[618]) ).
fof(rdn24,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
file('Axioms/NUM005+0.ax',rdn24) ).
cnf(362,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(cnf,[status(esa)],[rdn24]) ).
cnf(l141,plain,
rdn_translate(n24,rdn_pos(rdn(rdnn(n4),rdnn(n2)))),
inference(instantiation,[status(thm)],[362]) ).
fof(a1_5,plain,
! [A,L,C] :
( any_agent_in_all_proposed_teams(A,L,C)
=> accept_leader(A,L) ),
file('Axioms/AGT001+0.ax',a1_5) ).
cnf(8,plain,
( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
| accept_leader(X0,X1) ),
inference(cnf,[status(esa)],[a1_5]) ).
cnf(l621,plain,
( ~ any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage)
| accept_leader(countryamedicalorganization,christiancountrychumanitarianorganization) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l291,plain,
( ~ less(n12,n30)
| ~ accept_population(countryamedicalorganization,atheist,n30)
| accept_population(countryamedicalorganization,atheist,n12) ),
inference(instantiation,[status(thm)],[5]) ).
fof(event_188,plain,
accept_team(countryamedicalorganization,sufferterragovernment,towna,n5),
file('Axioms/AGT001+1.ax',event_188) ).
cnf(276,plain,
accept_team(countryamedicalorganization,sufferterragovernment,towna,n5),
inference(cnf,[status(esa)],[event_188]) ).
cnf(l917,plain,
accept_team(countryamedicalorganization,sufferterragovernment,towna,n5),
inference(instantiation,[status(thm)],[276]) ).
fof(rdn3,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('Axioms/NUM005+0.ax',rdn3) ).
cnf(341,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(cnf,[status(esa)],[rdn3]) ).
cnf(l27,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(instantiation,[status(thm)],[341]) ).
fof(rdn_extra_digits_positive_less,plain,
! [D,Db,Ob] :
( rdn_non_zero(Ob)
=> rdn_positive_less(rdnn(D),rdn(rdnn(Db),Ob)) ),
file('Axioms/NUM005+1.ax',rdn_extra_digits_positive_less) ).
cnf(615,plain,
( ~ rdn_non_zero(X0)
| rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X0)) ),
inference(cnf,[status(esa)],[rdn_extra_digits_positive_less]) ).
cnf(l112,plain,
( ~ rdn_non_zero(rdnn(n2))
| rdn_positive_less(rdnn(n3),rdn(rdnn(n4),rdnn(n2))) ),
inference(instantiation,[status(thm)],[615]) ).
fof(rdn_non_zero_by_digit,plain,
! [X] :
( rdn_non_zero_digit(rdnn(X))
=> rdn_non_zero(rdnn(X)) ),
file('Axioms/NUM005+1.ax',rdn_non_zero_by_digit) ).
cnf(616,plain,
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf,[status(esa)],[rdn_non_zero_by_digit]) ).
cnf(l418,plain,
( ~ rdn_non_zero_digit(rdnn(n2))
| rdn_non_zero(rdnn(n2)) ),
inference(instantiation,[status(thm)],[616]) ).
cnf(l305,plain,
( ~ rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1))))
| ~ rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3))))
| ~ rdn_positive_less(rdn(rdnn(n2),rdnn(n1)),rdn(rdnn(n0),rdnn(n3)))
| less(n12,n30) ),
inference(instantiation,[status(thm)],[618]) ).
fof(rdn_positive_less01,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
file('Axioms/NUM005+1.ax',rdn_positive_less01) ).
cnf(603,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(cnf,[status(esa)],[rdn_positive_less01]) ).
cnf(l550,plain,
rdn_positive_less(rdnn(n0),rdnn(n1)),
inference(instantiation,[status(thm)],[603]) ).
fof(rdn_digit2,plain,
rdn_non_zero_digit(rdnn(n2)),
file('Axioms/NUM005+1.ax',rdn_digit2) ).
cnf(595,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(cnf,[status(esa)],[rdn_digit2]) ).
cnf(l424,plain,
rdn_non_zero_digit(rdnn(n2)),
inference(instantiation,[status(thm)],[595]) ).
fof(rdn12,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('Axioms/NUM005+0.ax',rdn12) ).
cnf(350,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
inference(cnf,[status(esa)],[rdn12]) ).
cnf(l315,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
inference(instantiation,[status(thm)],[350]) ).
fof(rdn_positive_less_multi_digit_high,plain,
! [Ds,Os,Db,Ob] :
( rdn_positive_less(Os,Ob)
=> rdn_positive_less(rdn(rdnn(Ds),Os),rdn(rdnn(Db),Ob)) ),
file('Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_high) ).
cnf(613,plain,
( ~ rdn_positive_less(X0,X1)
| rdn_positive_less(rdn(rdnn(X2),X0),rdn(rdnn(X3),X1)) ),
inference(cnf,[status(esa)],[rdn_positive_less_multi_digit_high]) ).
cnf(l892,plain,
( ~ rdn_positive_less(rdnn(n1),rdnn(n3))
| rdn_positive_less(rdn(rdnn(n2),rdnn(n1)),rdn(rdnn(n0),rdnn(n3))) ),
inference(instantiation,[status(thm)],[613]) ).
fof(a2_13,plain,
! [A] :
( ( accept_population(A,atheist,n30)
& accept_population(A,christian,n0)
& accept_population(A,muslim,n65)
& accept_population(A,native,n0)
& accept_population(A,other,n5) )
<=> accept_city(A,townc) ),
file('Axioms/AGT001+0.ax',a2_13) ).
cnf(84,plain,
( ~ accept_city(X0,townc)
| accept_population(X0,atheist,n30) ),
inference(cnf,[status(esa)],[a2_13]) ).
cnf(l295,plain,
( ~ accept_city(countryamedicalorganization,townc)
| accept_population(countryamedicalorganization,atheist,n30) ),
inference(instantiation,[status(thm)],[84]) ).
fof(rdn30,plain,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
file('Axioms/NUM005+0.ax',rdn30) ).
cnf(368,plain,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
inference(cnf,[status(esa)],[rdn30]) ).
cnf(l384,plain,
rdn_translate(n30,rdn_pos(rdn(rdnn(n0),rdnn(n3)))),
inference(instantiation,[status(thm)],[368]) ).
fof(event_38,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
file('Axioms/AGT001+1.ax',event_38) ).
cnf(126,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(cnf,[status(esa)],[event_38]) ).
cnf(l628,plain,
any_agent_in_all_proposed_teams(countryamedicalorganization,christiancountrychumanitarianorganization,coastvillage),
inference(instantiation,[status(thm)],[126]) ).
fof(rdn_positive_less_transitivity,plain,
! [X,Y,Z] :
( ( rdn_positive_less(rdnn(X),rdnn(Y))
& rdn_positive_less(rdnn(Y),rdnn(Z)) )
=> rdn_positive_less(rdnn(X),rdnn(Z)) ),
file('Axioms/NUM005+1.ax',rdn_positive_less_transitivity) ).
cnf(612,plain,
( ~ rdn_positive_less(rdnn(X0),rdnn(X1))
| ~ rdn_positive_less(rdnn(X1),rdnn(X2))
| rdn_positive_less(rdnn(X0),rdnn(X2)) ),
inference(cnf,[status(esa)],[rdn_positive_less_transitivity]) ).
cnf(l939,plain,
( ~ rdn_positive_less(rdnn(n1),rdnn(n2))
| ~ rdn_positive_less(rdnn(n2),rdnn(n3))
| rdn_positive_less(rdnn(n1),rdnn(n3)) ),
inference(instantiation,[status(thm)],[612]) ).
fof(rdn_positive_less12,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
file('Axioms/NUM005+1.ax',rdn_positive_less12) ).
cnf(604,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(cnf,[status(esa)],[rdn_positive_less12]) ).
cnf(l941,plain,
rdn_positive_less(rdnn(n1),rdnn(n2)),
inference(instantiation,[status(thm)],[604]) ).
cnf(l301,plain,
( ~ accept_team(countryamedicalorganization,countryahumanitarianorganization,townc,n6)
| accept_city(countryamedicalorganization,townc) ),
inference(instantiation,[status(thm)],[0]) ).
fof(event_126,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,townc,n6),
file('Axioms/AGT001+1.ax',event_126) ).
cnf(214,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,townc,n6),
inference(cnf,[status(esa)],[event_126]) ).
cnf(l443,plain,
accept_team(countryamedicalorganization,countryahumanitarianorganization,townc,n6),
inference(instantiation,[status(thm)],[214]) ).
fof(rdn_positive_less23,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('Axioms/NUM005+1.ax',rdn_positive_less23) ).
cnf(605,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(cnf,[status(esa)],[rdn_positive_less23]) ).
cnf(l942,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(instantiation,[status(thm)],[605]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l524,l517,l519,l2,l3,l554,l9,l46,l16,l19,l669,l873,l874,l564,l88,l24,l141,l621,l291,l917,l27,l112,l418,l305,l550,l424,l315,l892,l295,l384,l628,l939,l941,l301,l443,l942]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.17 % Problem : AGT010+1 : TPTP v9.0.0. Bugfixed v3.1.0.
% 0.03/0.17 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.39 % Computer : n028.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8042.1875MB
% 0.12/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Jul 20 01:44:06 EDT 2025
% 0.12/0.39 % CPUTime :
% 0.12/0.40 % launching worker at depth: 2
% 0.12/0.40 % launching worker at depth: 6
% 0.12/0.40 % launching worker at depth: 3
% 0.12/0.40 % launching worker at depth: 7
% 0.12/0.40 % launching worker at depth: 4
% 0.12/0.40 % launching worker at depth: 1
% 0.12/0.40 % launching worker at depth: 8
% 0.12/0.40 % launching worker at depth: 5
% 0.12/0.40 % launching worker at depth: 9
% 0.12/0.41 % launching worker at depth: 10
% 0.21/0.45 % launching worker at depth: 11
% 1.98/0.67 % launching worker at depth: 12
% 29.01/4.07 % launching worker at depth: 13
% 230.67/29.37 % SZS status Theorem for theBenchmark
% 230.67/29.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------