TSTP Solution File: MGT025+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MGT025+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : n020.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 17:51:26 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 11
% Syntax : Number of formulae : 217 ( 18 unt; 3 typ; 0 def)
% Number of atoms : 941 ( 71 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 1113 ( 386 ~; 602 |; 101 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 244 ( 236 !; 8 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_10,type,
sQ3_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_11,type,
sQ4_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_12,type,
sQ5_eqProxy: ( $real * $real ) > $o ).
fof(f311,plain,
$false,
inference(subsumption_resolution,[],[f310,f89]) ).
fof(f89,plain,
environment(sK1),
inference(literal_reordering,[],[f54]) ).
fof(f54,plain,
environment(sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( environment(sK1)
& ( zero != growth_rate(efficient_producers,sK0)
| zero != growth_rate(first_movers,sK0) )
& ( ~ greater(growth_rate(efficient_producers,sK0),zero)
| ~ greater(zero,growth_rate(first_movers,sK0)) )
& subpopulations(first_movers,efficient_producers,sK1,sK0)
& ( ~ greater(growth_rate(first_movers,sK0),zero)
| ~ greater(zero,growth_rate(efficient_producers,sK0)) )
& constant(number_of_organizations(sK1,sK0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f37,f38]) ).
fof(f38,plain,
( ? [X0,X1] :
( environment(X1)
& ( zero != growth_rate(efficient_producers,X0)
| zero != growth_rate(first_movers,X0) )
& ( ~ greater(growth_rate(efficient_producers,X0),zero)
| ~ greater(zero,growth_rate(first_movers,X0)) )
& subpopulations(first_movers,efficient_producers,X1,X0)
& ( ~ greater(growth_rate(first_movers,X0),zero)
| ~ greater(zero,growth_rate(efficient_producers,X0)) )
& constant(number_of_organizations(X1,X0)) )
=> ( environment(sK1)
& ( zero != growth_rate(efficient_producers,sK0)
| zero != growth_rate(first_movers,sK0) )
& ( ~ greater(growth_rate(efficient_producers,sK0),zero)
| ~ greater(zero,growth_rate(first_movers,sK0)) )
& subpopulations(first_movers,efficient_producers,sK1,sK0)
& ( ~ greater(growth_rate(first_movers,sK0),zero)
| ~ greater(zero,growth_rate(efficient_producers,sK0)) )
& constant(number_of_organizations(sK1,sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0,X1] :
( environment(X1)
& ( zero != growth_rate(efficient_producers,X0)
| zero != growth_rate(first_movers,X0) )
& ( ~ greater(growth_rate(efficient_producers,X0),zero)
| ~ greater(zero,growth_rate(first_movers,X0)) )
& subpopulations(first_movers,efficient_producers,X1,X0)
& ( ~ greater(growth_rate(first_movers,X0),zero)
| ~ greater(zero,growth_rate(efficient_producers,X0)) )
& constant(number_of_organizations(X1,X0)) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
? [X1,X0] :
( environment(X0)
& ( zero != growth_rate(efficient_producers,X1)
| zero != growth_rate(first_movers,X1) )
& ( ~ greater(growth_rate(efficient_producers,X1),zero)
| ~ greater(zero,growth_rate(first_movers,X1)) )
& subpopulations(first_movers,efficient_producers,X0,X1)
& ( ~ greater(growth_rate(first_movers,X1),zero)
| ~ greater(zero,growth_rate(efficient_producers,X1)) )
& constant(number_of_organizations(X0,X1)) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
? [X1,X0] :
( ( ~ greater(growth_rate(efficient_producers,X1),zero)
| ~ greater(zero,growth_rate(first_movers,X1)) )
& ( zero != growth_rate(efficient_producers,X1)
| zero != growth_rate(first_movers,X1) )
& ( ~ greater(growth_rate(first_movers,X1),zero)
| ~ greater(zero,growth_rate(efficient_producers,X1)) )
& subpopulations(first_movers,efficient_producers,X0,X1)
& constant(number_of_organizations(X0,X1))
& environment(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X1,X0] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& constant(number_of_organizations(X0,X1))
& environment(X0) )
=> ( ( greater(growth_rate(efficient_producers,X1),zero)
& greater(zero,growth_rate(first_movers,X1)) )
| ( zero = growth_rate(first_movers,X1)
& zero = growth_rate(efficient_producers,X1) )
| ( greater(zero,growth_rate(efficient_producers,X1))
& greater(growth_rate(first_movers,X1),zero) ) ) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& environment(X0)
& constant(number_of_organizations(X0,X2)) )
=> ( ( greater(growth_rate(first_movers,X2),zero)
& greater(zero,growth_rate(efficient_producers,X2)) )
| ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) )
| ( zero = growth_rate(efficient_producers,X2)
& zero = growth_rate(first_movers,X2) ) ) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& environment(X0)
& constant(number_of_organizations(X0,X2)) )
=> ( ( greater(growth_rate(first_movers,X2),zero)
& greater(zero,growth_rate(efficient_producers,X2)) )
| ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) )
| ( zero = growth_rate(efficient_producers,X2)
& zero = growth_rate(first_movers,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l7) ).
fof(f310,plain,
~ environment(sK1),
inference(resolution,[],[f309,f143]) ).
fof(f143,plain,
in_environment(sK1,sK0),
inference(resolution,[],[f142,f81]) ).
fof(f81,plain,
subpopulations(first_movers,efficient_producers,sK1,sK0),
inference(literal_reordering,[],[f51]) ).
fof(f51,plain,
subpopulations(first_movers,efficient_producers,sK1,sK0),
inference(cnf_transformation,[],[f39]) ).
fof(f142,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK1,X0)
| in_environment(sK1,X0) ),
inference(resolution,[],[f83,f89]) ).
fof(f83,plain,
! [X0,X1] :
( ~ environment(X0)
| in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(literal_reordering,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> in_environment(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X2] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> in_environment(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_occur) ).
fof(f309,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f280,f284]) ).
fof(f284,plain,
zero != growth_rate(first_movers,sK0),
inference(subsumption_resolution,[],[f91,f283]) ).
fof(f283,plain,
zero = growth_rate(efficient_producers,sK0),
inference(subsumption_resolution,[],[f282,f89]) ).
fof(f282,plain,
( ~ environment(sK1)
| zero = growth_rate(efficient_producers,sK0) ),
inference(resolution,[],[f275,f143]) ).
fof(f275,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| ~ environment(X0)
| zero = growth_rate(efficient_producers,sK0) ),
inference(subsumption_resolution,[],[f274,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| subpopulation(efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(literal_reordering,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| subpopulation(efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| ( subpopulation(first_movers,X0,X1)
& subpopulation(efficient_producers,X0,X1) ) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( ~ in_environment(X1,X0)
| ~ environment(X1)
| ( subpopulation(first_movers,X1,X0)
& subpopulation(efficient_producers,X1,X0) ) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( subpopulation(first_movers,X1,X0)
& subpopulation(efficient_producers,X1,X0) )
| ~ in_environment(X1,X0)
| ~ environment(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ( in_environment(X1,X0)
& environment(X1) )
=> ( subpopulation(first_movers,X1,X0)
& subpopulation(efficient_producers,X1,X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X0] :
( ( environment(X0)
& in_environment(X0,X2) )
=> ( subpopulation(first_movers,X0,X2)
& subpopulation(efficient_producers,X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations) ).
fof(f274,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| ~ subpopulation(efficient_producers,X0,sK0)
| ~ environment(X0)
| zero = growth_rate(efficient_producers,sK0) ),
inference(subsumption_resolution,[],[f273,f159]) ).
fof(f159,plain,
greater(cardinality_at_time(efficient_producers,sK0),zero),
inference(resolution,[],[f149,f81]) ).
fof(f149,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK1,X0)
| greater(cardinality_at_time(efficient_producers,X0),zero) ),
inference(resolution,[],[f102,f89]) ).
fof(f102,plain,
! [X0,X1] :
( ~ environment(X1)
| greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ subpopulations(first_movers,efficient_producers,X1,X0) ),
inference(literal_reordering,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| greater(cardinality_at_time(efficient_producers,X0),zero) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ environment(X1)
| ( greater(cardinality_at_time(first_movers,X0),zero)
& greater(cardinality_at_time(efficient_producers,X0),zero) )
| ~ subpopulations(first_movers,efficient_producers,X1,X0) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( ~ environment(X0)
| ( greater(cardinality_at_time(first_movers,X1),zero)
& greater(cardinality_at_time(efficient_producers,X1),zero) )
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( greater(cardinality_at_time(first_movers,X1),zero)
& greater(cardinality_at_time(efficient_producers,X1),zero) )
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> ( greater(cardinality_at_time(first_movers,X1),zero)
& greater(cardinality_at_time(efficient_producers,X1),zero) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& environment(X0) )
=> ( greater(cardinality_at_time(first_movers,X2),zero)
& greater(cardinality_at_time(efficient_producers,X2),zero) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_zero_producers) ).
fof(f273,plain,
! [X0] :
( ~ subpopulation(efficient_producers,X0,sK0)
| ~ in_environment(X0,sK0)
| zero = growth_rate(efficient_producers,sK0)
| ~ greater(cardinality_at_time(efficient_producers,sK0),zero)
| ~ environment(X0) ),
inference(resolution,[],[f271,f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ constant(cardinality_at_time(X0,X1))
| zero = growth_rate(X0,X1)
| ~ in_environment(X2,X1)
| ~ environment(X2)
| ~ greater(cardinality_at_time(X0,X1),zero)
| ~ subpopulation(X0,X2,X1) ),
inference(literal_reordering,[],[f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ subpopulation(X0,X2,X1)
| ~ greater(cardinality_at_time(X0,X1),zero)
| ~ constant(cardinality_at_time(X0,X1))
| ~ environment(X2)
| ~ in_environment(X2,X1)
| zero = growth_rate(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ greater(cardinality_at_time(X0,X1),zero)
| ~ environment(X2)
| ( ( ~ decreases(cardinality_at_time(X0,X1))
| greater(zero,growth_rate(X0,X1)) )
& ( ~ constant(cardinality_at_time(X0,X1))
| zero = growth_rate(X0,X1) )
& ( ~ increases(cardinality_at_time(X0,X1))
| greater(growth_rate(X0,X1),zero) ) )
| ~ in_environment(X2,X1)
| ~ subpopulation(X0,X2,X1) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X0,X2,X1] :
( ~ greater(cardinality_at_time(X0,X2),zero)
| ~ environment(X1)
| ( ( ~ decreases(cardinality_at_time(X0,X2))
| greater(zero,growth_rate(X0,X2)) )
& ( ~ constant(cardinality_at_time(X0,X2))
| zero = growth_rate(X0,X2) )
& ( ~ increases(cardinality_at_time(X0,X2))
| greater(growth_rate(X0,X2),zero) ) )
| ~ in_environment(X1,X2)
| ~ subpopulation(X0,X1,X2) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X1,X2,X0] :
( ( ( ~ decreases(cardinality_at_time(X0,X2))
| greater(zero,growth_rate(X0,X2)) )
& ( ~ constant(cardinality_at_time(X0,X2))
| zero = growth_rate(X0,X2) )
& ( ~ increases(cardinality_at_time(X0,X2))
| greater(growth_rate(X0,X2),zero) ) )
| ~ subpopulation(X0,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| ~ greater(cardinality_at_time(X0,X2),zero) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X1,X2,X0] :
( ( subpopulation(X0,X1,X2)
& in_environment(X1,X2)
& environment(X1)
& greater(cardinality_at_time(X0,X2),zero) )
=> ( ( decreases(cardinality_at_time(X0,X2))
=> greater(zero,growth_rate(X0,X2)) )
& ( increases(cardinality_at_time(X0,X2))
=> greater(growth_rate(X0,X2),zero) )
& ( constant(cardinality_at_time(X0,X2))
=> zero = growth_rate(X0,X2) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0,X2] :
( ( in_environment(X0,X2)
& subpopulation(X1,X0,X2)
& greater(cardinality_at_time(X1,X2),zero)
& environment(X0) )
=> ( ( decreases(cardinality_at_time(X1,X2))
=> greater(zero,growth_rate(X1,X2)) )
& ( constant(cardinality_at_time(X1,X2))
=> zero = growth_rate(X1,X2) )
& ( increases(cardinality_at_time(X1,X2))
=> greater(growth_rate(X1,X2),zero) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate) ).
fof(f271,plain,
constant(cardinality_at_time(efficient_producers,sK0)),
inference(subsumption_resolution,[],[f270,f255]) ).
fof(f255,plain,
( greater(zero,growth_rate(first_movers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f254,f244]) ).
fof(f244,plain,
( greater(zero,growth_rate(first_movers,sK0))
| greater(zero,growth_rate(efficient_producers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f243,f89]) ).
fof(f243,plain,
( greater(zero,growth_rate(efficient_producers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0))
| ~ environment(sK1)
| greater(zero,growth_rate(first_movers,sK0)) ),
inference(resolution,[],[f207,f143]) ).
fof(f207,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| greater(zero,growth_rate(first_movers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0))
| greater(zero,growth_rate(efficient_producers,sK0))
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f206,f87]) ).
fof(f206,plain,
! [X0] :
( ~ subpopulation(efficient_producers,X0,sK0)
| constant(cardinality_at_time(efficient_producers,sK0))
| ~ in_environment(X0,sK0)
| greater(zero,growth_rate(first_movers,sK0))
| ~ environment(X0)
| greater(zero,growth_rate(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f205,f159]) ).
fof(f205,plain,
! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK0)
| constant(cardinality_at_time(efficient_producers,sK0))
| ~ greater(cardinality_at_time(efficient_producers,sK0),zero)
| ~ subpopulation(efficient_producers,X0,sK0)
| greater(zero,growth_rate(first_movers,sK0))
| greater(zero,growth_rate(efficient_producers,sK0)) ),
inference(resolution,[],[f204,f93]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ decreases(cardinality_at_time(X0,X1))
| ~ environment(X2)
| greater(zero,growth_rate(X0,X1))
| ~ subpopulation(X0,X2,X1)
| ~ greater(cardinality_at_time(X0,X1),zero)
| ~ in_environment(X2,X1) ),
inference(literal_reordering,[],[f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ decreases(cardinality_at_time(X0,X1))
| ~ environment(X2)
| greater(zero,growth_rate(X0,X1))
| ~ greater(cardinality_at_time(X0,X1),zero)
| ~ subpopulation(X0,X2,X1)
| ~ in_environment(X2,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f204,plain,
( decreases(cardinality_at_time(efficient_producers,sK0))
| greater(zero,growth_rate(first_movers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f203,f89]) ).
fof(f203,plain,
( constant(cardinality_at_time(efficient_producers,sK0))
| greater(zero,growth_rate(first_movers,sK0))
| ~ environment(sK1)
| decreases(cardinality_at_time(efficient_producers,sK0)) ),
inference(resolution,[],[f176,f143]) ).
fof(f176,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0))
| decreases(cardinality_at_time(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f175,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| subpopulation(first_movers,X0,X1)
| ~ environment(X0) ),
inference(literal_reordering,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| subpopulation(first_movers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f175,plain,
! [X0] :
( constant(cardinality_at_time(efficient_producers,sK0))
| greater(zero,growth_rate(first_movers,sK0))
| decreases(cardinality_at_time(efficient_producers,sK0))
| ~ subpopulation(first_movers,X0,sK0)
| ~ environment(X0)
| ~ in_environment(X0,sK0) ),
inference(subsumption_resolution,[],[f174,f158]) ).
fof(f158,plain,
greater(cardinality_at_time(first_movers,sK0),zero),
inference(resolution,[],[f148,f81]) ).
fof(f148,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK1,X0)
| greater(cardinality_at_time(first_movers,X0),zero) ),
inference(resolution,[],[f101,f89]) ).
fof(f101,plain,
! [X0,X1] :
( ~ environment(X1)
| greater(cardinality_at_time(first_movers,X0),zero)
| ~ subpopulations(first_movers,efficient_producers,X1,X0) ),
inference(literal_reordering,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X1,X0)
| greater(cardinality_at_time(first_movers,X0),zero)
| ~ environment(X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f174,plain,
! [X0] :
( constant(cardinality_at_time(efficient_producers,sK0))
| ~ in_environment(X0,sK0)
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,sK0))
| ~ subpopulation(first_movers,X0,sK0)
| decreases(cardinality_at_time(efficient_producers,sK0))
| ~ greater(cardinality_at_time(first_movers,sK0),zero) ),
inference(resolution,[],[f166,f93]) ).
fof(f166,plain,
( decreases(cardinality_at_time(first_movers,sK0))
| decreases(cardinality_at_time(efficient_producers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0)) ),
inference(resolution,[],[f164,f78]) ).
fof(f78,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X1)
| constant(X2)
| decreases(X2) ),
inference(literal_reordering,[],[f77]) ).
fof(f77,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X2)
| decreases(X1)
| constant(X2) ),
inference(equality_resolution,[],[f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( decreases(X2)
| decreases(X1)
| ~ constant(X0)
| constant(X2)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( increases(X1)
& decreases(X2) )
| ( increases(X2)
& decreases(X1) )
| ~ constant(X0)
| ( constant(X1)
& constant(X2) )
| sum(X1,X2) != X0 ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X1,X0,X2] :
( ( increases(X2)
& decreases(X1) )
| ( increases(X1)
& decreases(X2) )
| ( constant(X1)
& constant(X2) )
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X1,X0,X2] :
( ( sum(X1,X2) = X0
& constant(X0) )
=> ( ( increases(X2)
& decreases(X1) )
| ( increases(X1)
& decreases(X2) )
| ( constant(X1)
& constant(X2) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3,X4,X5] :
( ( sum(X4,X5) = X3
& constant(X3) )
=> ( ( constant(X4)
& constant(X5) )
| ( increases(X5)
& decreases(X4) )
| ( increases(X4)
& decreases(X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_abc_sum_increase) ).
fof(f164,plain,
constant(sum(cardinality_at_time(first_movers,sK0),cardinality_at_time(efficient_producers,sK0))),
inference(backward_demodulation,[],[f103,f161]) ).
fof(f161,plain,
sum(cardinality_at_time(first_movers,sK0),cardinality_at_time(efficient_producers,sK0)) = number_of_organizations(sK1,sK0),
inference(resolution,[],[f152,f146]) ).
fof(f146,plain,
subpopulation(efficient_producers,sK1,sK0),
inference(subsumption_resolution,[],[f145,f89]) ).
fof(f145,plain,
( ~ environment(sK1)
| subpopulation(efficient_producers,sK1,sK0) ),
inference(resolution,[],[f143,f87]) ).
fof(f152,plain,
! [X0] :
( ~ subpopulation(efficient_producers,sK1,X0)
| number_of_organizations(sK1,X0) = sum(cardinality_at_time(first_movers,X0),cardinality_at_time(efficient_producers,X0)) ),
inference(resolution,[],[f98,f89]) ).
fof(f98,plain,
! [X2,X0] :
( ~ environment(X2)
| sum(cardinality_at_time(first_movers,X0),cardinality_at_time(efficient_producers,X0)) = number_of_organizations(X2,X0)
| ~ subpopulation(efficient_producers,X2,X0) ),
inference(literal_reordering,[],[f68]) ).
fof(f68,plain,
! [X2,X0] :
( ~ subpopulation(efficient_producers,X2,X0)
| sum(cardinality_at_time(first_movers,X0),cardinality_at_time(efficient_producers,X0)) = number_of_organizations(X2,X0)
| ~ environment(X2) ),
inference(equality_resolution,[],[f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( sum(cardinality_at_time(first_movers,X0),cardinality_at_time(efficient_producers,X0)) = number_of_organizations(X2,X0)
| ~ subpopulation(X1,X2,X0)
| ~ environment(X2)
| efficient_producers != X1 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( sum(cardinality_at_time(first_movers,X0),cardinality_at_time(efficient_producers,X0)) = number_of_organizations(X2,X0)
| ~ subpopulation(X1,X2,X0)
| ~ environment(X2)
| ( efficient_producers != X1
& greater(cardinality_at_time(X1,X0),zero)
& first_movers != X1 ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X1,X2,X0] :
( number_of_organizations(X0,X1) = sum(cardinality_at_time(first_movers,X1),cardinality_at_time(efficient_producers,X1))
| ~ subpopulation(X2,X0,X1)
| ~ environment(X0)
| ( efficient_producers != X2
& greater(cardinality_at_time(X2,X1),zero)
& first_movers != X2 ) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X1,X0,X2] :
( number_of_organizations(X0,X1) = sum(cardinality_at_time(first_movers,X1),cardinality_at_time(efficient_producers,X1))
| ~ subpopulation(X2,X0,X1)
| ( first_movers != X2
& efficient_producers != X2
& greater(cardinality_at_time(X2,X1),zero) )
| ~ environment(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X1,X0,X2] :
( ( subpopulation(X2,X0,X1)
& ( greater(cardinality_at_time(X2,X1),zero)
=> ( first_movers = X2
| efficient_producers = X2 ) )
& environment(X0) )
=> number_of_organizations(X0,X1) = sum(cardinality_at_time(first_movers,X1),cardinality_at_time(efficient_producers,X1)) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0,X2,X1] :
( ( subpopulation(X1,X0,X2)
& ( greater(cardinality_at_time(X1,X2),zero)
=> ( efficient_producers = X1
| first_movers = X1 ) )
& environment(X0) )
=> number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_only_members) ).
fof(f103,plain,
constant(number_of_organizations(sK1,sK0)),
inference(literal_reordering,[],[f49]) ).
fof(f49,plain,
constant(number_of_organizations(sK1,sK0)),
inference(cnf_transformation,[],[f39]) ).
fof(f254,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0))
| greater(zero,growth_rate(first_movers,sK0)) ),
inference(resolution,[],[f248,f90]) ).
fof(f90,plain,
( ~ greater(growth_rate(first_movers,sK0),zero)
| ~ greater(zero,growth_rate(efficient_producers,sK0)) ),
inference(literal_reordering,[],[f50]) ).
fof(f50,plain,
( ~ greater(growth_rate(first_movers,sK0),zero)
| ~ greater(zero,growth_rate(efficient_producers,sK0)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f248,plain,
( greater(growth_rate(first_movers,sK0),zero)
| greater(zero,growth_rate(first_movers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f247,f89]) ).
fof(f247,plain,
( ~ environment(sK1)
| greater(growth_rate(first_movers,sK0),zero)
| greater(zero,growth_rate(first_movers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0)) ),
inference(resolution,[],[f217,f143]) ).
fof(f217,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| greater(zero,growth_rate(first_movers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0))
| greater(growth_rate(first_movers,sK0),zero)
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f216,f95]) ).
fof(f216,plain,
! [X0] :
( greater(growth_rate(first_movers,sK0),zero)
| ~ in_environment(X0,sK0)
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0))
| ~ subpopulation(first_movers,X0,sK0) ),
inference(subsumption_resolution,[],[f215,f158]) ).
fof(f215,plain,
! [X0] :
( ~ environment(X0)
| ~ greater(cardinality_at_time(first_movers,sK0),zero)
| greater(zero,growth_rate(first_movers,sK0))
| ~ in_environment(X0,sK0)
| greater(growth_rate(first_movers,sK0),zero)
| ~ subpopulation(first_movers,X0,sK0)
| constant(cardinality_at_time(efficient_producers,sK0)) ),
inference(resolution,[],[f214,f82]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ~ increases(cardinality_at_time(X0,X1))
| ~ subpopulation(X0,X2,X1)
| ~ in_environment(X2,X1)
| greater(growth_rate(X0,X1),zero)
| ~ environment(X2)
| ~ greater(cardinality_at_time(X0,X1),zero) ),
inference(literal_reordering,[],[f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ in_environment(X2,X1)
| greater(growth_rate(X0,X1),zero)
| ~ subpopulation(X0,X2,X1)
| ~ environment(X2)
| ~ greater(cardinality_at_time(X0,X1),zero)
| ~ increases(cardinality_at_time(X0,X1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f214,plain,
( increases(cardinality_at_time(first_movers,sK0))
| greater(zero,growth_rate(first_movers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f213,f89]) ).
fof(f213,plain,
( ~ environment(sK1)
| greater(zero,growth_rate(first_movers,sK0))
| increases(cardinality_at_time(first_movers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0)) ),
inference(resolution,[],[f182,f143]) ).
fof(f182,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| ~ environment(X0)
| constant(cardinality_at_time(efficient_producers,sK0))
| increases(cardinality_at_time(first_movers,sK0))
| greater(zero,growth_rate(first_movers,sK0)) ),
inference(subsumption_resolution,[],[f181,f95]) ).
fof(f181,plain,
! [X0] :
( increases(cardinality_at_time(first_movers,sK0))
| ~ subpopulation(first_movers,X0,sK0)
| constant(cardinality_at_time(efficient_producers,sK0))
| ~ in_environment(X0,sK0)
| greater(zero,growth_rate(first_movers,sK0))
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f180,f158]) ).
fof(f180,plain,
! [X0] :
( constant(cardinality_at_time(efficient_producers,sK0))
| ~ environment(X0)
| ~ subpopulation(first_movers,X0,sK0)
| ~ in_environment(X0,sK0)
| greater(zero,growth_rate(first_movers,sK0))
| increases(cardinality_at_time(first_movers,sK0))
| ~ greater(cardinality_at_time(first_movers,sK0),zero) ),
inference(resolution,[],[f168,f93]) ).
fof(f168,plain,
( decreases(cardinality_at_time(first_movers,sK0))
| increases(cardinality_at_time(first_movers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0)) ),
inference(resolution,[],[f164,f85]) ).
fof(f85,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X1)
| increases(X1)
| constant(X2) ),
inference(literal_reordering,[],[f73]) ).
fof(f73,plain,
! [X2,X1] :
( decreases(X1)
| ~ constant(sum(X1,X2))
| increases(X1)
| constant(X2) ),
inference(equality_resolution,[],[f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( increases(X1)
| decreases(X1)
| ~ constant(X0)
| constant(X2)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f33]) ).
fof(f270,plain,
( constant(cardinality_at_time(efficient_producers,sK0))
| ~ greater(zero,growth_rate(first_movers,sK0)) ),
inference(resolution,[],[f269,f79]) ).
fof(f79,plain,
( ~ greater(growth_rate(efficient_producers,sK0),zero)
| ~ greater(zero,growth_rate(first_movers,sK0)) ),
inference(literal_reordering,[],[f52]) ).
fof(f52,plain,
( ~ greater(growth_rate(efficient_producers,sK0),zero)
| ~ greater(zero,growth_rate(first_movers,sK0)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f269,plain,
( greater(growth_rate(efficient_producers,sK0),zero)
| constant(cardinality_at_time(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f251,f262]) ).
fof(f262,plain,
( greater(growth_rate(efficient_producers,sK0),zero)
| greater(zero,growth_rate(efficient_producers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f261,f89]) ).
fof(f261,plain,
( ~ environment(sK1)
| constant(cardinality_at_time(efficient_producers,sK0))
| greater(growth_rate(efficient_producers,sK0),zero)
| greater(zero,growth_rate(efficient_producers,sK0)) ),
inference(resolution,[],[f242,f143]) ).
fof(f242,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| greater(growth_rate(efficient_producers,sK0),zero)
| constant(cardinality_at_time(efficient_producers,sK0))
| ~ environment(X0)
| greater(zero,growth_rate(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f241,f87]) ).
fof(f241,plain,
! [X0] :
( ~ environment(X0)
| greater(zero,growth_rate(efficient_producers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0))
| ~ in_environment(X0,sK0)
| greater(growth_rate(efficient_producers,sK0),zero)
| ~ subpopulation(efficient_producers,X0,sK0) ),
inference(subsumption_resolution,[],[f240,f159]) ).
fof(f240,plain,
! [X0] :
( constant(cardinality_at_time(efficient_producers,sK0))
| greater(zero,growth_rate(efficient_producers,sK0))
| ~ greater(cardinality_at_time(efficient_producers,sK0),zero)
| ~ environment(X0)
| ~ in_environment(X0,sK0)
| greater(growth_rate(efficient_producers,sK0),zero)
| ~ subpopulation(efficient_producers,X0,sK0) ),
inference(resolution,[],[f227,f82]) ).
fof(f227,plain,
( increases(cardinality_at_time(efficient_producers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0))
| greater(zero,growth_rate(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f226,f89]) ).
fof(f226,plain,
( greater(zero,growth_rate(efficient_producers,sK0))
| increases(cardinality_at_time(efficient_producers,sK0))
| ~ environment(sK1)
| constant(cardinality_at_time(efficient_producers,sK0)) ),
inference(resolution,[],[f197,f143]) ).
fof(f197,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| increases(cardinality_at_time(efficient_producers,sK0))
| ~ environment(X0)
| constant(cardinality_at_time(efficient_producers,sK0))
| greater(zero,growth_rate(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f196,f87]) ).
fof(f196,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| ~ subpopulation(efficient_producers,X0,sK0)
| ~ environment(X0)
| constant(cardinality_at_time(efficient_producers,sK0))
| increases(cardinality_at_time(efficient_producers,sK0))
| greater(zero,growth_rate(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f195,f159]) ).
fof(f195,plain,
! [X0] :
( greater(zero,growth_rate(efficient_producers,sK0))
| ~ greater(cardinality_at_time(efficient_producers,sK0),zero)
| ~ subpopulation(efficient_producers,X0,sK0)
| constant(cardinality_at_time(efficient_producers,sK0))
| ~ environment(X0)
| increases(cardinality_at_time(efficient_producers,sK0))
| ~ in_environment(X0,sK0) ),
inference(resolution,[],[f173,f93]) ).
fof(f173,plain,
( decreases(cardinality_at_time(efficient_producers,sK0))
| increases(cardinality_at_time(efficient_producers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0)) ),
inference(resolution,[],[f164,f100]) ).
fof(f100,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| constant(X2)
| increases(X2)
| decreases(X2) ),
inference(literal_reordering,[],[f75]) ).
fof(f75,plain,
! [X2,X1] :
( increases(X2)
| decreases(X2)
| ~ constant(sum(X1,X2))
| constant(X2) ),
inference(equality_resolution,[],[f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( decreases(X2)
| increases(X2)
| ~ constant(X0)
| constant(X2)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f33]) ).
fof(f251,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK0))
| greater(growth_rate(efficient_producers,sK0),zero)
| constant(cardinality_at_time(efficient_producers,sK0)) ),
inference(resolution,[],[f246,f90]) ).
fof(f246,plain,
( greater(growth_rate(first_movers,sK0),zero)
| greater(growth_rate(efficient_producers,sK0),zero)
| constant(cardinality_at_time(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f245,f89]) ).
fof(f245,plain,
( ~ environment(sK1)
| greater(growth_rate(first_movers,sK0),zero)
| constant(cardinality_at_time(efficient_producers,sK0))
| greater(growth_rate(efficient_producers,sK0),zero) ),
inference(resolution,[],[f212,f143]) ).
fof(f212,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| greater(growth_rate(efficient_producers,sK0),zero)
| ~ environment(X0)
| constant(cardinality_at_time(efficient_producers,sK0))
| greater(growth_rate(first_movers,sK0),zero) ),
inference(subsumption_resolution,[],[f211,f87]) ).
fof(f211,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| greater(growth_rate(first_movers,sK0),zero)
| ~ subpopulation(efficient_producers,X0,sK0)
| constant(cardinality_at_time(efficient_producers,sK0))
| greater(growth_rate(efficient_producers,sK0),zero)
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f210,f159]) ).
fof(f210,plain,
! [X0] :
( ~ environment(X0)
| ~ greater(cardinality_at_time(efficient_producers,sK0),zero)
| greater(growth_rate(efficient_producers,sK0),zero)
| greater(growth_rate(first_movers,sK0),zero)
| ~ subpopulation(efficient_producers,X0,sK0)
| constant(cardinality_at_time(efficient_producers,sK0))
| ~ in_environment(X0,sK0) ),
inference(resolution,[],[f209,f82]) ).
fof(f209,plain,
( increases(cardinality_at_time(efficient_producers,sK0))
| greater(growth_rate(first_movers,sK0),zero)
| constant(cardinality_at_time(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f208,f89]) ).
fof(f208,plain,
( greater(growth_rate(first_movers,sK0),zero)
| constant(cardinality_at_time(efficient_producers,sK0))
| increases(cardinality_at_time(efficient_producers,sK0))
| ~ environment(sK1) ),
inference(resolution,[],[f179,f143]) ).
fof(f179,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| greater(growth_rate(first_movers,sK0),zero)
| increases(cardinality_at_time(efficient_producers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0))
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f178,f95]) ).
fof(f178,plain,
! [X0] :
( constant(cardinality_at_time(efficient_producers,sK0))
| increases(cardinality_at_time(efficient_producers,sK0))
| ~ in_environment(X0,sK0)
| ~ environment(X0)
| greater(growth_rate(first_movers,sK0),zero)
| ~ subpopulation(first_movers,X0,sK0) ),
inference(subsumption_resolution,[],[f177,f158]) ).
fof(f177,plain,
! [X0] :
( ~ environment(X0)
| ~ greater(cardinality_at_time(first_movers,sK0),zero)
| greater(growth_rate(first_movers,sK0),zero)
| ~ subpopulation(first_movers,X0,sK0)
| increases(cardinality_at_time(efficient_producers,sK0))
| ~ in_environment(X0,sK0)
| constant(cardinality_at_time(efficient_producers,sK0)) ),
inference(resolution,[],[f167,f82]) ).
fof(f167,plain,
( increases(cardinality_at_time(first_movers,sK0))
| constant(cardinality_at_time(efficient_producers,sK0))
| increases(cardinality_at_time(efficient_producers,sK0)) ),
inference(resolution,[],[f164,f84]) ).
fof(f84,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X2)
| constant(X2)
| increases(X1) ),
inference(literal_reordering,[],[f71]) ).
fof(f71,plain,
! [X2,X1] :
( increases(X1)
| ~ constant(sum(X1,X2))
| increases(X2)
| constant(X2) ),
inference(equality_resolution,[],[f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( increases(X1)
| increases(X2)
| ~ constant(X0)
| constant(X2)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f33]) ).
fof(f91,plain,
( zero != growth_rate(first_movers,sK0)
| zero != growth_rate(efficient_producers,sK0) ),
inference(literal_reordering,[],[f53]) ).
fof(f53,plain,
( zero != growth_rate(efficient_producers,sK0)
| zero != growth_rate(first_movers,sK0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f280,plain,
! [X0] :
( zero = growth_rate(first_movers,sK0)
| ~ in_environment(X0,sK0)
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f279,f95]) ).
fof(f279,plain,
! [X0] :
( ~ subpopulation(first_movers,X0,sK0)
| ~ environment(X0)
| zero = growth_rate(first_movers,sK0)
| ~ in_environment(X0,sK0) ),
inference(subsumption_resolution,[],[f278,f158]) ).
fof(f278,plain,
! [X0] :
( ~ environment(X0)
| zero = growth_rate(first_movers,sK0)
| ~ greater(cardinality_at_time(first_movers,sK0),zero)
| ~ in_environment(X0,sK0)
| ~ subpopulation(first_movers,X0,sK0) ),
inference(resolution,[],[f277,f96]) ).
fof(f277,plain,
constant(cardinality_at_time(first_movers,sK0)),
inference(subsumption_resolution,[],[f276,f264]) ).
fof(f264,plain,
( greater(zero,growth_rate(first_movers,sK0))
| constant(cardinality_at_time(first_movers,sK0)) ),
inference(subsumption_resolution,[],[f263,f250]) ).
fof(f250,plain,
( greater(zero,growth_rate(first_movers,sK0))
| greater(zero,growth_rate(efficient_producers,sK0))
| constant(cardinality_at_time(first_movers,sK0)) ),
inference(subsumption_resolution,[],[f249,f89]) ).
fof(f249,plain,
( constant(cardinality_at_time(first_movers,sK0))
| ~ environment(sK1)
| greater(zero,growth_rate(efficient_producers,sK0))
| greater(zero,growth_rate(first_movers,sK0)) ),
inference(resolution,[],[f230,f143]) ).
fof(f230,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| constant(cardinality_at_time(first_movers,sK0))
| greater(zero,growth_rate(first_movers,sK0))
| greater(zero,growth_rate(efficient_producers,sK0))
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f229,f87]) ).
fof(f229,plain,
! [X0] :
( greater(zero,growth_rate(efficient_producers,sK0))
| ~ in_environment(X0,sK0)
| constant(cardinality_at_time(first_movers,sK0))
| ~ subpopulation(efficient_producers,X0,sK0)
| greater(zero,growth_rate(first_movers,sK0))
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f228,f159]) ).
fof(f228,plain,
! [X0] :
( greater(zero,growth_rate(efficient_producers,sK0))
| greater(zero,growth_rate(first_movers,sK0))
| constant(cardinality_at_time(first_movers,sK0))
| ~ subpopulation(efficient_producers,X0,sK0)
| ~ in_environment(X0,sK0)
| ~ greater(cardinality_at_time(efficient_producers,sK0),zero)
| ~ environment(X0) ),
inference(resolution,[],[f219,f93]) ).
fof(f219,plain,
( decreases(cardinality_at_time(efficient_producers,sK0))
| greater(zero,growth_rate(first_movers,sK0))
| constant(cardinality_at_time(first_movers,sK0)) ),
inference(subsumption_resolution,[],[f218,f89]) ).
fof(f218,plain,
( decreases(cardinality_at_time(efficient_producers,sK0))
| greater(zero,growth_rate(first_movers,sK0))
| constant(cardinality_at_time(first_movers,sK0))
| ~ environment(sK1) ),
inference(resolution,[],[f185,f143]) ).
fof(f185,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| greater(zero,growth_rate(first_movers,sK0))
| decreases(cardinality_at_time(efficient_producers,sK0))
| constant(cardinality_at_time(first_movers,sK0))
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f184,f95]) ).
fof(f184,plain,
! [X0] :
( constant(cardinality_at_time(first_movers,sK0))
| ~ environment(X0)
| ~ in_environment(X0,sK0)
| ~ subpopulation(first_movers,X0,sK0)
| decreases(cardinality_at_time(efficient_producers,sK0))
| greater(zero,growth_rate(first_movers,sK0)) ),
inference(subsumption_resolution,[],[f183,f158]) ).
fof(f183,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| decreases(cardinality_at_time(efficient_producers,sK0))
| greater(zero,growth_rate(first_movers,sK0))
| ~ greater(cardinality_at_time(first_movers,sK0),zero)
| ~ environment(X0)
| ~ subpopulation(first_movers,X0,sK0)
| constant(cardinality_at_time(first_movers,sK0)) ),
inference(resolution,[],[f169,f93]) ).
fof(f169,plain,
( decreases(cardinality_at_time(first_movers,sK0))
| decreases(cardinality_at_time(efficient_producers,sK0))
| constant(cardinality_at_time(first_movers,sK0)) ),
inference(resolution,[],[f164,f86]) ).
fof(f86,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X1)
| constant(X1)
| decreases(X2) ),
inference(literal_reordering,[],[f76]) ).
fof(f76,plain,
! [X2,X1] :
( decreases(X1)
| decreases(X2)
| ~ constant(sum(X1,X2))
| constant(X1) ),
inference(equality_resolution,[],[f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( decreases(X2)
| decreases(X1)
| ~ constant(X0)
| constant(X1)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f33]) ).
fof(f263,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK0))
| constant(cardinality_at_time(first_movers,sK0))
| greater(zero,growth_rate(first_movers,sK0)) ),
inference(resolution,[],[f257,f90]) ).
fof(f257,plain,
( greater(growth_rate(first_movers,sK0),zero)
| constant(cardinality_at_time(first_movers,sK0))
| greater(zero,growth_rate(first_movers,sK0)) ),
inference(subsumption_resolution,[],[f256,f89]) ).
fof(f256,plain,
( greater(zero,growth_rate(first_movers,sK0))
| greater(growth_rate(first_movers,sK0),zero)
| ~ environment(sK1)
| constant(cardinality_at_time(first_movers,sK0)) ),
inference(resolution,[],[f236,f143]) ).
fof(f236,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| greater(zero,growth_rate(first_movers,sK0))
| constant(cardinality_at_time(first_movers,sK0))
| greater(growth_rate(first_movers,sK0),zero)
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f235,f95]) ).
fof(f235,plain,
! [X0] :
( constant(cardinality_at_time(first_movers,sK0))
| greater(growth_rate(first_movers,sK0),zero)
| ~ in_environment(X0,sK0)
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,sK0))
| ~ subpopulation(first_movers,X0,sK0) ),
inference(subsumption_resolution,[],[f234,f158]) ).
fof(f234,plain,
! [X0] :
( ~ subpopulation(first_movers,X0,sK0)
| ~ greater(cardinality_at_time(first_movers,sK0),zero)
| greater(growth_rate(first_movers,sK0),zero)
| ~ environment(X0)
| constant(cardinality_at_time(first_movers,sK0))
| greater(zero,growth_rate(first_movers,sK0))
| ~ in_environment(X0,sK0) ),
inference(resolution,[],[f223,f82]) ).
fof(f223,plain,
( increases(cardinality_at_time(first_movers,sK0))
| constant(cardinality_at_time(first_movers,sK0))
| greater(zero,growth_rate(first_movers,sK0)) ),
inference(subsumption_resolution,[],[f222,f89]) ).
fof(f222,plain,
( increases(cardinality_at_time(first_movers,sK0))
| ~ environment(sK1)
| constant(cardinality_at_time(first_movers,sK0))
| greater(zero,growth_rate(first_movers,sK0)) ),
inference(resolution,[],[f191,f143]) ).
fof(f191,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| constant(cardinality_at_time(first_movers,sK0))
| greater(zero,growth_rate(first_movers,sK0))
| increases(cardinality_at_time(first_movers,sK0))
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f190,f95]) ).
fof(f190,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| increases(cardinality_at_time(first_movers,sK0))
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,sK0))
| constant(cardinality_at_time(first_movers,sK0))
| ~ subpopulation(first_movers,X0,sK0) ),
inference(subsumption_resolution,[],[f189,f158]) ).
fof(f189,plain,
! [X0] :
( greater(zero,growth_rate(first_movers,sK0))
| ~ in_environment(X0,sK0)
| constant(cardinality_at_time(first_movers,sK0))
| ~ subpopulation(first_movers,X0,sK0)
| increases(cardinality_at_time(first_movers,sK0))
| ~ environment(X0)
| ~ greater(cardinality_at_time(first_movers,sK0),zero) ),
inference(resolution,[],[f171,f93]) ).
fof(f171,plain,
( decreases(cardinality_at_time(first_movers,sK0))
| increases(cardinality_at_time(first_movers,sK0))
| constant(cardinality_at_time(first_movers,sK0)) ),
inference(resolution,[],[f164,f94]) ).
fof(f94,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X1)
| increases(X1)
| constant(X1) ),
inference(literal_reordering,[],[f72]) ).
fof(f72,plain,
! [X2,X1] :
( constant(X1)
| increases(X1)
| ~ constant(sum(X1,X2))
| decreases(X1) ),
inference(equality_resolution,[],[f63]) ).
fof(f63,plain,
! [X2,X0,X1] :
( increases(X1)
| decreases(X1)
| ~ constant(X0)
| constant(X1)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f33]) ).
fof(f276,plain,
( constant(cardinality_at_time(first_movers,sK0))
| ~ greater(zero,growth_rate(first_movers,sK0)) ),
inference(resolution,[],[f272,f79]) ).
fof(f272,plain,
( greater(growth_rate(efficient_producers,sK0),zero)
| constant(cardinality_at_time(first_movers,sK0)) ),
inference(subsumption_resolution,[],[f260,f259]) ).
fof(f259,plain,
( greater(growth_rate(efficient_producers,sK0),zero)
| greater(zero,growth_rate(efficient_producers,sK0))
| constant(cardinality_at_time(first_movers,sK0)) ),
inference(subsumption_resolution,[],[f258,f89]) ).
fof(f258,plain,
( greater(growth_rate(efficient_producers,sK0),zero)
| ~ environment(sK1)
| constant(cardinality_at_time(first_movers,sK0))
| greater(zero,growth_rate(efficient_producers,sK0)) ),
inference(resolution,[],[f239,f143]) ).
fof(f239,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| greater(zero,growth_rate(efficient_producers,sK0))
| greater(growth_rate(efficient_producers,sK0),zero)
| constant(cardinality_at_time(first_movers,sK0))
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f238,f87]) ).
fof(f238,plain,
! [X0] :
( greater(zero,growth_rate(efficient_producers,sK0))
| ~ in_environment(X0,sK0)
| ~ environment(X0)
| greater(growth_rate(efficient_producers,sK0),zero)
| ~ subpopulation(efficient_producers,X0,sK0)
| constant(cardinality_at_time(first_movers,sK0)) ),
inference(subsumption_resolution,[],[f237,f159]) ).
fof(f237,plain,
! [X0] :
( ~ subpopulation(efficient_producers,X0,sK0)
| ~ in_environment(X0,sK0)
| ~ greater(cardinality_at_time(efficient_producers,sK0),zero)
| greater(growth_rate(efficient_producers,sK0),zero)
| greater(zero,growth_rate(efficient_producers,sK0))
| ~ environment(X0)
| constant(cardinality_at_time(first_movers,sK0)) ),
inference(resolution,[],[f225,f82]) ).
fof(f225,plain,
( increases(cardinality_at_time(efficient_producers,sK0))
| constant(cardinality_at_time(first_movers,sK0))
| greater(zero,growth_rate(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f224,f89]) ).
fof(f224,plain,
( increases(cardinality_at_time(efficient_producers,sK0))
| greater(zero,growth_rate(efficient_producers,sK0))
| ~ environment(sK1)
| constant(cardinality_at_time(first_movers,sK0)) ),
inference(resolution,[],[f194,f143]) ).
fof(f194,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| greater(zero,growth_rate(efficient_producers,sK0))
| ~ environment(X0)
| constant(cardinality_at_time(first_movers,sK0))
| increases(cardinality_at_time(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f193,f87]) ).
fof(f193,plain,
! [X0] :
( ~ subpopulation(efficient_producers,X0,sK0)
| increases(cardinality_at_time(efficient_producers,sK0))
| ~ environment(X0)
| ~ in_environment(X0,sK0)
| greater(zero,growth_rate(efficient_producers,sK0))
| constant(cardinality_at_time(first_movers,sK0)) ),
inference(subsumption_resolution,[],[f192,f159]) ).
fof(f192,plain,
! [X0] :
( ~ greater(cardinality_at_time(efficient_producers,sK0),zero)
| ~ subpopulation(efficient_producers,X0,sK0)
| increases(cardinality_at_time(efficient_producers,sK0))
| constant(cardinality_at_time(first_movers,sK0))
| ~ in_environment(X0,sK0)
| greater(zero,growth_rate(efficient_producers,sK0))
| ~ environment(X0) ),
inference(resolution,[],[f172,f93]) ).
fof(f172,plain,
( decreases(cardinality_at_time(efficient_producers,sK0))
| constant(cardinality_at_time(first_movers,sK0))
| increases(cardinality_at_time(efficient_producers,sK0)) ),
inference(resolution,[],[f164,f97]) ).
fof(f97,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X2)
| increases(X2)
| constant(X1) ),
inference(literal_reordering,[],[f74]) ).
fof(f74,plain,
! [X2,X1] :
( constant(X1)
| increases(X2)
| ~ constant(sum(X1,X2))
| decreases(X2) ),
inference(equality_resolution,[],[f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( decreases(X2)
| increases(X2)
| ~ constant(X0)
| constant(X1)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f33]) ).
fof(f260,plain,
( greater(growth_rate(efficient_producers,sK0),zero)
| constant(cardinality_at_time(first_movers,sK0))
| ~ greater(zero,growth_rate(efficient_producers,sK0)) ),
inference(resolution,[],[f253,f90]) ).
fof(f253,plain,
( greater(growth_rate(first_movers,sK0),zero)
| constant(cardinality_at_time(first_movers,sK0))
| greater(growth_rate(efficient_producers,sK0),zero) ),
inference(subsumption_resolution,[],[f252,f89]) ).
fof(f252,plain,
( constant(cardinality_at_time(first_movers,sK0))
| greater(growth_rate(efficient_producers,sK0),zero)
| ~ environment(sK1)
| greater(growth_rate(first_movers,sK0),zero) ),
inference(resolution,[],[f233,f143]) ).
fof(f233,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| constant(cardinality_at_time(first_movers,sK0))
| ~ environment(X0)
| greater(growth_rate(efficient_producers,sK0),zero)
| greater(growth_rate(first_movers,sK0),zero) ),
inference(subsumption_resolution,[],[f232,f87]) ).
fof(f232,plain,
! [X0] :
( greater(growth_rate(efficient_producers,sK0),zero)
| constant(cardinality_at_time(first_movers,sK0))
| ~ environment(X0)
| ~ in_environment(X0,sK0)
| greater(growth_rate(first_movers,sK0),zero)
| ~ subpopulation(efficient_producers,X0,sK0) ),
inference(subsumption_resolution,[],[f231,f159]) ).
fof(f231,plain,
! [X0] :
( greater(growth_rate(efficient_producers,sK0),zero)
| ~ in_environment(X0,sK0)
| ~ environment(X0)
| greater(growth_rate(first_movers,sK0),zero)
| constant(cardinality_at_time(first_movers,sK0))
| ~ greater(cardinality_at_time(efficient_producers,sK0),zero)
| ~ subpopulation(efficient_producers,X0,sK0) ),
inference(resolution,[],[f221,f82]) ).
fof(f221,plain,
( increases(cardinality_at_time(efficient_producers,sK0))
| constant(cardinality_at_time(first_movers,sK0))
| greater(growth_rate(first_movers,sK0),zero) ),
inference(subsumption_resolution,[],[f220,f89]) ).
fof(f220,plain,
( constant(cardinality_at_time(first_movers,sK0))
| increases(cardinality_at_time(efficient_producers,sK0))
| greater(growth_rate(first_movers,sK0),zero)
| ~ environment(sK1) ),
inference(resolution,[],[f188,f143]) ).
fof(f188,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| increases(cardinality_at_time(efficient_producers,sK0))
| ~ environment(X0)
| constant(cardinality_at_time(first_movers,sK0))
| greater(growth_rate(first_movers,sK0),zero) ),
inference(subsumption_resolution,[],[f187,f95]) ).
fof(f187,plain,
! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK0)
| greater(growth_rate(first_movers,sK0),zero)
| ~ subpopulation(first_movers,X0,sK0)
| constant(cardinality_at_time(first_movers,sK0))
| increases(cardinality_at_time(efficient_producers,sK0)) ),
inference(subsumption_resolution,[],[f186,f158]) ).
fof(f186,plain,
! [X0] :
( ~ in_environment(X0,sK0)
| increases(cardinality_at_time(efficient_producers,sK0))
| ~ environment(X0)
| ~ subpopulation(first_movers,X0,sK0)
| ~ greater(cardinality_at_time(first_movers,sK0),zero)
| greater(growth_rate(first_movers,sK0),zero)
| constant(cardinality_at_time(first_movers,sK0)) ),
inference(resolution,[],[f170,f82]) ).
fof(f170,plain,
( increases(cardinality_at_time(first_movers,sK0))
| constant(cardinality_at_time(first_movers,sK0))
| increases(cardinality_at_time(efficient_producers,sK0)) ),
inference(resolution,[],[f164,f88]) ).
fof(f88,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X1)
| constant(X1)
| increases(X2) ),
inference(literal_reordering,[],[f70]) ).
fof(f70,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X2)
| constant(X1)
| increases(X1) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X2,X0,X1] :
( increases(X1)
| increases(X2)
| ~ constant(X0)
| constant(X1)
| sum(X1,X2) != X0 ),
inference(cnf_transformation,[],[f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT025+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.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 : 300
% 0.13/0.35 % DateTime : Tue Aug 30 03:16:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (32544)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (32561)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)
% 0.20/0.53 % (32561)First to succeed.
% 0.20/0.53 % (32553)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (32538)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)
% 0.20/0.53 % (32563)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (32547)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (32536)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (32536)Refutation not found, incomplete strategy% (32536)------------------------------
% 0.20/0.54 % (32536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (32536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (32536)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (32536)Memory used [KB]: 5500
% 0.20/0.54 % (32536)Time elapsed: 0.124 s
% 0.20/0.54 % (32536)Instructions burned: 3 (million)
% 0.20/0.54 % (32536)------------------------------
% 0.20/0.54 % (32536)------------------------------
% 0.20/0.54 % (32539)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (32535)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)
% 0.20/0.54 % (32548)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (32541)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (32550)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.54 % (32561)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (32561)------------------------------
% 0.20/0.55 % (32561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (32561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (32561)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (32561)Memory used [KB]: 6012
% 0.20/0.55 % (32561)Time elapsed: 0.013 s
% 0.20/0.55 % (32561)Instructions burned: 14 (million)
% 0.20/0.55 % (32561)------------------------------
% 0.20/0.55 % (32561)------------------------------
% 0.20/0.55 % (32534)Success in time 0.182 s
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