TSTP Solution File: MGT025+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : MGT025+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n012.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 : Fri May 19 11:35:37 EDT 2023
% Result : Theorem 2.67s 3.45s
% Output : Proof 2.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT025+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 23:35:46 EDT 2023
% 0.12/0.33 % CPUTime :
% 2.67/3.45
% 2.67/3.45 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 2.67/3.45 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.67/3.45 %-----------------------------------------------------
% 2.67/3.45 ncf(matrix, plain, [(298 ^ _65146) ^ [] : [-(environment(295 ^ []))], (300 ^ _65146) ^ [] : [-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))], (302 ^ _65146) ^ [] : [-(constant(number_of_organizations(295 ^ [], 296 ^ [])))], (304 ^ _65146) ^ [] : [growth_rate(first_movers, 296 ^ []) = zero, growth_rate(efficient_producers, 296 ^ []) = zero], (310 ^ _65146) ^ [] : [greater(growth_rate(first_movers, 296 ^ []), zero), greater(zero, growth_rate(efficient_producers, 296 ^ []))], (316 ^ _65146) ^ [] : [greater(growth_rate(efficient_producers, 296 ^ []), zero), greater(zero, growth_rate(first_movers, 296 ^ []))], (168 ^ _65146) ^ [_70825, _70827, _70829] : [-(number_of_organizations(_70829, _70825) = sum(cardinality_at_time(first_movers, _70825), cardinality_at_time(efficient_producers, _70825))), environment(_70829), subpopulation(_70827, _70829, _70825), 177 ^ _65146 : [(178 ^ _65146) ^ [] : [-(greater(cardinality_at_time(_70827, _70825), zero))], (180 ^ _65146) ^ [] : [_70827 = efficient_producers], (182 ^ _65146) ^ [] : [_70827 = first_movers]]], (186 ^ _65146) ^ [_71409, _71411] : [193 ^ _65146 : [(194 ^ _65146) ^ [] : [-(subpopulation(first_movers, _71411, _71409))], (196 ^ _65146) ^ [] : [-(subpopulation(efficient_producers, _71411, _71409))]], environment(_71411), in_environment(_71411, _71409)], (198 ^ _65146) ^ [_71799, _71801, _71803] : [_71803 = sum(_71801, _71799), constant(_71803), 207 ^ _65146 : [(208 ^ _65146) ^ [] : [-(constant(_71801))], (210 ^ _65146) ^ [] : [-(constant(_71799))]], 213 ^ _65146 : [(214 ^ _65146) ^ [] : [-(increases(_71801))], (216 ^ _65146) ^ [] : [-(decreases(_71799))]], 217 ^ _65146 : [(218 ^ _65146) ^ [] : [-(decreases(_71801))], (220 ^ _65146) ^ [] : [-(increases(_71799))]]], (222 ^ _65146) ^ [_72535, _72537, _72539] : [environment(_72537), in_environment(_72537, _72535), subpopulation(_72539, _72537, _72535), greater(cardinality_at_time(_72539, _72535), zero), 237 ^ _65146 : [(238 ^ _65146) ^ [] : [constant(cardinality_at_time(_72539, _72535)), -(growth_rate(_72539, _72535) = zero)], (244 ^ _65146) ^ [] : [increases(cardinality_at_time(_72539, _72535)), -(greater(growth_rate(_72539, _72535), zero))], (250 ^ _65146) ^ [] : [decreases(cardinality_at_time(_72539, _72535)), -(greater(zero, growth_rate(_72539, _72535)))]]], (256 ^ _65146) ^ [_73504, _73506] : [263 ^ _65146 : [(264 ^ _65146) ^ [] : [-(greater(cardinality_at_time(first_movers, _73504), zero))], (266 ^ _65146) ^ [] : [-(greater(cardinality_at_time(efficient_producers, _73504), zero))]], environment(_73506), subpopulations(first_movers, efficient_producers, _73506, _73504)], (268 ^ _65146) ^ [_73892, _73894] : [-(in_environment(_73894, _73892)), environment(_73894), subpopulations(first_movers, efficient_producers, _73894, _73892)], (278 ^ _65146) ^ [_74187, _74189, _74191] : [-(_74189 = efficient_producers), -(_74189 = first_movers), environment(_74191), subpopulation(_74189, _74191, _74187), greater(cardinality_at_time(_74189, _74187), zero)], (128 ^ _65146) ^ [_69409, _69411, _69413, _69415] : [-(sum(_69415, _69411) = sum(_69413, _69409)), _69415 = _69413, _69411 = _69409], (138 ^ _65146) ^ [_69768, _69770, _69772, _69774] : [-(cardinality_at_time(_69774, _69770) = cardinality_at_time(_69772, _69768)), _69774 = _69772, _69770 = _69768], (148 ^ _65146) ^ [_70127, _70129, _70131, _70133] : [-(number_of_organizations(_70133, _70129) = number_of_organizations(_70131, _70127)), _70133 = _70131, _70129 = _70127], (158 ^ _65146) ^ [_70466, _70468, _70470, _70472] : [-(growth_rate(_70472, _70468) = growth_rate(_70470, _70466)), _70472 = _70470, _70468 = _70466], (2 ^ _65146) ^ [_65290] : [-(_65290 = _65290)], (4 ^ _65146) ^ [_65397, _65399] : [_65399 = _65397, -(_65397 = _65399)], (10 ^ _65146) ^ [_65601, _65603, _65605] : [-(_65605 = _65601), _65605 = _65603, _65603 = _65601], (20 ^ _65146) ^ [_65914, _65916] : [-(increases(_65914)), _65916 = _65914, increases(_65916)], (30 ^ _65146) ^ [_66209, _66211] : [-(decreases(_66209)), _66211 = _66209, decreases(_66211)], (40 ^ _65146) ^ [_66532, _66534, _66536, _66538] : [-(in_environment(_66536, _66532)), in_environment(_66538, _66534), _66538 = _66536, _66534 = _66532], (54 ^ _65146) ^ [_67004, _67006, _67008, _67010, _67012, _67014] : [-(subpopulation(_67012, _67008, _67004)), subpopulation(_67014, _67010, _67006), _67014 = _67012, _67010 = _67008, _67006 = _67004], (72 ^ _65146) ^ [_67557, _67559] : [-(environment(_67557)), _67559 = _67557, environment(_67559)], (82 ^ _65146) ^ [_67936, _67938, _67940, _67942, _67944, _67946, _67948, _67950] : [-(subpopulations(_67948, _67944, _67940, _67936)), subpopulations(_67950, _67946, _67942, _67938), _67950 = _67948, _67946 = _67944, _67942 = _67940, _67938 = _67936], (104 ^ _65146) ^ [_68642, _68644] : [-(constant(_68642)), _68644 = _68642, constant(_68644)], (114 ^ _65146) ^ [_68945, _68947, _68949, _68951] : [-(greater(_68949, _68945)), greater(_68951, _68947), _68951 = _68949, _68947 = _68945]], input).
% 2.67/3.45 ncf('1',plain,[growth_rate(first_movers, 296 ^ []) = zero, growth_rate(efficient_producers, 296 ^ []) = zero],start(304 ^ 0)).
% 2.67/3.45 ncf('1.1',plain,[-(growth_rate(first_movers, 296 ^ []) = zero), 238 : constant(cardinality_at_time(first_movers, 296 ^ [])), 238 : environment(295 ^ []), 238 : in_environment(295 ^ [], 296 ^ []), 238 : subpopulation(first_movers, 295 ^ [], 296 ^ []), 238 : greater(cardinality_at_time(first_movers, 296 ^ []), zero)],extension(222 ^ 1,bind([[_72535, _72537, _72539], [296 ^ [], 295 ^ [], first_movers]]))).
% 2.67/3.45 ncf('1.1.1',plain,[-(constant(cardinality_at_time(first_movers, 296 ^ []))), number_of_organizations(295 ^ [], 296 ^ []) = sum(cardinality_at_time(first_movers, 296 ^ []), cardinality_at_time(efficient_producers, 296 ^ [])), constant(number_of_organizations(295 ^ [], 296 ^ [])), 214 : -(increases(cardinality_at_time(first_movers, 296 ^ []))), 218 : -(decreases(cardinality_at_time(first_movers, 296 ^ [])))],extension(198 ^ 4,bind([[_71799, _71801, _71803], [cardinality_at_time(efficient_producers, 296 ^ []), cardinality_at_time(first_movers, 296 ^ []), number_of_organizations(295 ^ [], 296 ^ [])]]))).
% 2.67/3.45 ncf('1.1.1.1',plain,[-(number_of_organizations(295 ^ [], 296 ^ []) = sum(cardinality_at_time(first_movers, 296 ^ []), cardinality_at_time(efficient_producers, 296 ^ []))), environment(295 ^ []), subpopulation(first_movers, 295 ^ [], 296 ^ []), 178 : -(greater(cardinality_at_time(first_movers, 296 ^ []), zero))],extension(168 ^ 5,bind([[_70825, _70827, _70829], [296 ^ [], first_movers, 295 ^ []]]))).
% 2.67/3.45 ncf('1.1.1.1.1',plain,[-(environment(295 ^ []))],extension(298 ^ 6)).
% 2.67/3.45 ncf('1.1.1.1.2',plain,[-(subpopulation(first_movers, 295 ^ [], 296 ^ [])), environment(295 ^ []), in_environment(295 ^ [], 296 ^ [])],extension(186 ^ 6,bind([[_71409, _71411], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.1.1.1.2.1',plain,[-(environment(295 ^ []))],lemmata('[1, 1, 1].x')).
% 2.67/3.45 ncf('1.1.1.1.2.2',plain,[-(in_environment(295 ^ [], 296 ^ [])), environment(295 ^ []), subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ [])],extension(268 ^ 7,bind([[_73892, _73894], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.1.1.1.2.2.1',plain,[-(environment(295 ^ []))],lemmata('[1, 1, 1, 1].x')).
% 2.67/3.45 ncf('1.1.1.1.2.2.2',plain,[-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))],extension(300 ^ 8)).
% 2.67/3.45 ncf('1.1.1.1.3',plain,[greater(cardinality_at_time(first_movers, 296 ^ []), zero), -(first_movers = efficient_producers), -(first_movers = first_movers), environment(295 ^ []), subpopulation(first_movers, 295 ^ [], 296 ^ [])],extension(278 ^ 8,bind([[_74187, _74189, _74191], [296 ^ [], first_movers, 295 ^ []]]))).
% 2.67/3.45 ncf('1.1.1.1.3.1',plain,[first_movers = efficient_producers],extension(180 ^ 9)).
% 2.67/3.45 ncf('1.1.1.1.3.2',plain,[first_movers = first_movers],extension(182 ^ 9)).
% 2.67/3.45 ncf('1.1.1.1.3.3',plain,[-(environment(295 ^ []))],extension(298 ^ 9)).
% 2.67/3.45 ncf('1.1.1.1.3.4',plain,[-(subpopulation(first_movers, 295 ^ [], 296 ^ []))],lemmata('[1, 1, 1].x')).
% 2.67/3.45 ncf('1.1.1.2',plain,[-(constant(number_of_organizations(295 ^ [], 296 ^ [])))],extension(302 ^ 5)).
% 2.67/3.45 ncf('1.1.1.3',plain,[increases(cardinality_at_time(first_movers, 296 ^ [])), -(greater(growth_rate(first_movers, 296 ^ []), zero))],extension(244 ^ 7)).
% 2.67/3.45 ncf('1.1.1.3.1',plain,[greater(growth_rate(first_movers, 296 ^ []), zero), greater(zero, growth_rate(efficient_producers, 296 ^ []))],extension(310 ^ 8)).
% 2.67/3.45 ncf('1.1.1.3.1.1',plain,[-(greater(zero, growth_rate(efficient_producers, 296 ^ []))), 250 : decreases(cardinality_at_time(efficient_producers, 296 ^ [])), 250 : environment(295 ^ []), 250 : in_environment(295 ^ [], 296 ^ []), 250 : subpopulation(efficient_producers, 295 ^ [], 296 ^ []), 250 : greater(cardinality_at_time(efficient_producers, 296 ^ []), zero)],extension(222 ^ 9,bind([[_72535, _72537, _72539], [296 ^ [], 295 ^ [], efficient_producers]]))).
% 2.67/3.45 ncf('1.1.1.3.1.1.1',plain,[-(decreases(cardinality_at_time(efficient_producers, 296 ^ [])))],extension(216 ^ 12)).
% 2.67/3.45 ncf('1.1.1.3.1.1.2',plain,[-(environment(295 ^ []))],extension(298 ^ 10)).
% 2.67/3.45 ncf('1.1.1.3.1.1.3',plain,[-(in_environment(295 ^ [], 296 ^ [])), environment(295 ^ []), subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ [])],extension(268 ^ 10,bind([[_73892, _73894], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.1.1.3.1.1.3.1',plain,[-(environment(295 ^ []))],lemmata('[1, 3, 1, 1, 1].x')).
% 2.67/3.45 ncf('1.1.1.3.1.1.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))],extension(300 ^ 11)).
% 2.67/3.45 ncf('1.1.1.3.1.1.4',plain,[-(subpopulation(efficient_producers, 295 ^ [], 296 ^ [])), environment(295 ^ []), in_environment(295 ^ [], 296 ^ [])],extension(186 ^ 10,bind([[_71409, _71411], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.1.1.3.1.1.4.1',plain,[-(environment(295 ^ []))],lemmata('[1, 3, 1, 1, 1].x')).
% 2.67/3.45 ncf('1.1.1.3.1.1.4.2',plain,[-(in_environment(295 ^ [], 296 ^ []))],lemmata('[1, 3, 1, 1, 1].x')).
% 2.67/3.45 ncf('1.1.1.3.1.1.5',plain,[-(greater(cardinality_at_time(efficient_producers, 296 ^ []), zero)), environment(295 ^ []), subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ [])],extension(256 ^ 10,bind([[_73504, _73506], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.1.1.3.1.1.5.1',plain,[-(environment(295 ^ []))],extension(298 ^ 11)).
% 2.67/3.45 ncf('1.1.1.3.1.1.5.2',plain,[-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))],extension(300 ^ 11)).
% 2.67/3.45 ncf('1.1.1.4',plain,[decreases(cardinality_at_time(first_movers, 296 ^ [])), -(greater(zero, growth_rate(first_movers, 296 ^ [])))],extension(250 ^ 7)).
% 2.67/3.45 ncf('1.1.1.4.1',plain,[greater(zero, growth_rate(first_movers, 296 ^ [])), greater(growth_rate(efficient_producers, 296 ^ []), zero)],extension(316 ^ 8)).
% 2.67/3.45 ncf('1.1.1.4.1.1',plain,[-(greater(growth_rate(efficient_producers, 296 ^ []), zero)), 244 : increases(cardinality_at_time(efficient_producers, 296 ^ [])), 244 : environment(295 ^ []), 244 : in_environment(295 ^ [], 296 ^ []), 244 : subpopulation(efficient_producers, 295 ^ [], 296 ^ []), 244 : greater(cardinality_at_time(efficient_producers, 296 ^ []), zero)],extension(222 ^ 9,bind([[_72535, _72537, _72539], [296 ^ [], 295 ^ [], efficient_producers]]))).
% 2.67/3.45 ncf('1.1.1.4.1.1.1',plain,[-(increases(cardinality_at_time(efficient_producers, 296 ^ [])))],extension(220 ^ 12)).
% 2.67/3.45 ncf('1.1.1.4.1.1.2',plain,[-(environment(295 ^ []))],extension(298 ^ 10)).
% 2.67/3.45 ncf('1.1.1.4.1.1.3',plain,[-(in_environment(295 ^ [], 296 ^ [])), environment(295 ^ []), subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ [])],extension(268 ^ 10,bind([[_73892, _73894], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.1.1.4.1.1.3.1',plain,[-(environment(295 ^ []))],lemmata('[1, 4, 1, 1, 1].x')).
% 2.67/3.45 ncf('1.1.1.4.1.1.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))],extension(300 ^ 11)).
% 2.67/3.45 ncf('1.1.1.4.1.1.4',plain,[-(subpopulation(efficient_producers, 295 ^ [], 296 ^ [])), environment(295 ^ []), in_environment(295 ^ [], 296 ^ [])],extension(186 ^ 10,bind([[_71409, _71411], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.1.1.4.1.1.4.1',plain,[-(environment(295 ^ []))],lemmata('[1, 4, 1, 1, 1].x')).
% 2.67/3.45 ncf('1.1.1.4.1.1.4.2',plain,[-(in_environment(295 ^ [], 296 ^ []))],lemmata('[1, 4, 1, 1, 1].x')).
% 2.67/3.45 ncf('1.1.1.4.1.1.5',plain,[-(greater(cardinality_at_time(efficient_producers, 296 ^ []), zero)), environment(295 ^ []), subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ [])],extension(256 ^ 10,bind([[_73504, _73506], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.1.1.4.1.1.5.1',plain,[-(environment(295 ^ []))],extension(298 ^ 11)).
% 2.67/3.45 ncf('1.1.1.4.1.1.5.2',plain,[-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))],extension(300 ^ 11)).
% 2.67/3.45 ncf('1.1.2',plain,[-(environment(295 ^ []))],extension(298 ^ 2)).
% 2.67/3.45 ncf('1.1.3',plain,[-(in_environment(295 ^ [], 296 ^ [])), environment(295 ^ []), subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ [])],extension(268 ^ 2,bind([[_73892, _73894], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.1.3.1',plain,[-(environment(295 ^ []))],lemmata('[1].x')).
% 2.67/3.45 ncf('1.1.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))],extension(300 ^ 3)).
% 2.67/3.45 ncf('1.1.4',plain,[-(subpopulation(first_movers, 295 ^ [], 296 ^ [])), environment(295 ^ []), in_environment(295 ^ [], 296 ^ [])],extension(186 ^ 2,bind([[_71409, _71411], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.1.4.1',plain,[-(environment(295 ^ []))],lemmata('[1].x')).
% 2.67/3.45 ncf('1.1.4.2',plain,[-(in_environment(295 ^ [], 296 ^ []))],lemmata('[1].x')).
% 2.67/3.45 ncf('1.1.5',plain,[-(greater(cardinality_at_time(first_movers, 296 ^ []), zero)), environment(295 ^ []), subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ [])],extension(256 ^ 2,bind([[_73504, _73506], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.1.5.1',plain,[-(environment(295 ^ []))],extension(298 ^ 3)).
% 2.67/3.45 ncf('1.1.5.2',plain,[-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))],extension(300 ^ 3)).
% 2.67/3.45 ncf('1.2',plain,[-(growth_rate(efficient_producers, 296 ^ []) = zero), 238 : constant(cardinality_at_time(efficient_producers, 296 ^ [])), 238 : environment(295 ^ []), 238 : in_environment(295 ^ [], 296 ^ []), 238 : subpopulation(efficient_producers, 295 ^ [], 296 ^ []), 238 : greater(cardinality_at_time(efficient_producers, 296 ^ []), zero)],extension(222 ^ 1,bind([[_72535, _72537, _72539], [296 ^ [], 295 ^ [], efficient_producers]]))).
% 2.67/3.45 ncf('1.2.1',plain,[-(constant(cardinality_at_time(efficient_producers, 296 ^ []))), number_of_organizations(295 ^ [], 296 ^ []) = sum(cardinality_at_time(first_movers, 296 ^ []), cardinality_at_time(efficient_producers, 296 ^ [])), constant(number_of_organizations(295 ^ [], 296 ^ [])), 214 : -(increases(cardinality_at_time(first_movers, 296 ^ []))), 218 : -(decreases(cardinality_at_time(first_movers, 296 ^ [])))],extension(198 ^ 4,bind([[_71799, _71801, _71803], [cardinality_at_time(efficient_producers, 296 ^ []), cardinality_at_time(first_movers, 296 ^ []), number_of_organizations(295 ^ [], 296 ^ [])]]))).
% 2.67/3.45 ncf('1.2.1.1',plain,[-(number_of_organizations(295 ^ [], 296 ^ []) = sum(cardinality_at_time(first_movers, 296 ^ []), cardinality_at_time(efficient_producers, 296 ^ []))), environment(295 ^ []), subpopulation(first_movers, 295 ^ [], 296 ^ []), 178 : -(greater(cardinality_at_time(first_movers, 296 ^ []), zero))],extension(168 ^ 5,bind([[_70825, _70827, _70829], [296 ^ [], first_movers, 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.1.1.1',plain,[-(environment(295 ^ []))],extension(298 ^ 6)).
% 2.67/3.45 ncf('1.2.1.1.2',plain,[-(subpopulation(first_movers, 295 ^ [], 296 ^ [])), environment(295 ^ []), in_environment(295 ^ [], 296 ^ [])],extension(186 ^ 6,bind([[_71409, _71411], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.1.1.2.1',plain,[-(environment(295 ^ []))],lemmata('[1, 2, 1].x')).
% 2.67/3.45 ncf('1.2.1.1.2.2',plain,[-(in_environment(295 ^ [], 296 ^ [])), environment(295 ^ []), subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ [])],extension(268 ^ 7,bind([[_73892, _73894], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.1.1.2.2.1',plain,[-(environment(295 ^ []))],lemmata('[1, 1, 2, 1].x')).
% 2.67/3.45 ncf('1.2.1.1.2.2.2',plain,[-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))],extension(300 ^ 8)).
% 2.67/3.45 ncf('1.2.1.1.3',plain,[greater(cardinality_at_time(first_movers, 296 ^ []), zero), -(first_movers = efficient_producers), -(first_movers = first_movers), environment(295 ^ []), subpopulation(first_movers, 295 ^ [], 296 ^ [])],extension(278 ^ 8,bind([[_74187, _74189, _74191], [296 ^ [], first_movers, 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.1.1.3.1',plain,[first_movers = efficient_producers],extension(180 ^ 9)).
% 2.67/3.45 ncf('1.2.1.1.3.2',plain,[first_movers = first_movers],extension(182 ^ 9)).
% 2.67/3.45 ncf('1.2.1.1.3.3',plain,[-(environment(295 ^ []))],extension(298 ^ 9)).
% 2.67/3.45 ncf('1.2.1.1.3.4',plain,[-(subpopulation(first_movers, 295 ^ [], 296 ^ []))],lemmata('[1, 2, 1].x')).
% 2.67/3.45 ncf('1.2.1.2',plain,[-(constant(number_of_organizations(295 ^ [], 296 ^ [])))],extension(302 ^ 5)).
% 2.67/3.45 ncf('1.2.1.3',plain,[increases(cardinality_at_time(first_movers, 296 ^ [])), 244 : -(greater(growth_rate(first_movers, 296 ^ []), zero)), 244 : environment(295 ^ []), 244 : in_environment(295 ^ [], 296 ^ []), 244 : subpopulation(first_movers, 295 ^ [], 296 ^ []), 244 : greater(cardinality_at_time(first_movers, 296 ^ []), zero)],extension(222 ^ 7,bind([[_72535, _72537, _72539], [296 ^ [], 295 ^ [], first_movers]]))).
% 2.67/3.45 ncf('1.2.1.3.1',plain,[greater(growth_rate(first_movers, 296 ^ []), zero), greater(zero, growth_rate(efficient_producers, 296 ^ []))],extension(310 ^ 10)).
% 2.67/3.45 ncf('1.2.1.3.1.1',plain,[-(greater(zero, growth_rate(efficient_producers, 296 ^ []))), 250 : decreases(cardinality_at_time(efficient_producers, 296 ^ [])), 250 : environment(295 ^ []), 250 : in_environment(295 ^ [], 296 ^ []), 250 : subpopulation(efficient_producers, 295 ^ [], 296 ^ []), 250 : greater(cardinality_at_time(efficient_producers, 296 ^ []), zero)],extension(222 ^ 11,bind([[_72535, _72537, _72539], [296 ^ [], 295 ^ [], efficient_producers]]))).
% 2.67/3.45 ncf('1.2.1.3.1.1.1',plain,[-(decreases(cardinality_at_time(efficient_producers, 296 ^ [])))],extension(216 ^ 14)).
% 2.67/3.45 ncf('1.2.1.3.1.1.2',plain,[-(environment(295 ^ []))],extension(298 ^ 12)).
% 2.67/3.45 ncf('1.2.1.3.1.1.3',plain,[-(in_environment(295 ^ [], 296 ^ [])), environment(295 ^ []), subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ [])],extension(268 ^ 12,bind([[_73892, _73894], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.1.3.1.1.3.1',plain,[-(environment(295 ^ []))],lemmata('[1, 3, 1, 2, 1].x')).
% 2.67/3.45 ncf('1.2.1.3.1.1.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))],extension(300 ^ 13)).
% 2.67/3.45 ncf('1.2.1.3.1.1.4',plain,[-(subpopulation(efficient_producers, 295 ^ [], 296 ^ [])), environment(295 ^ []), in_environment(295 ^ [], 296 ^ [])],extension(186 ^ 12,bind([[_71409, _71411], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.1.3.1.1.4.1',plain,[-(environment(295 ^ []))],lemmata('[1, 3, 1, 2, 1].x')).
% 2.67/3.45 ncf('1.2.1.3.1.1.4.2',plain,[-(in_environment(295 ^ [], 296 ^ []))],lemmata('[1, 3, 1, 2, 1].x')).
% 2.67/3.45 ncf('1.2.1.3.1.1.5',plain,[-(greater(cardinality_at_time(efficient_producers, 296 ^ []), zero)), environment(295 ^ []), subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ [])],extension(256 ^ 12,bind([[_73504, _73506], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.1.3.1.1.5.1',plain,[-(environment(295 ^ []))],extension(298 ^ 13)).
% 2.67/3.45 ncf('1.2.1.3.1.1.5.2',plain,[-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))],extension(300 ^ 13)).
% 2.67/3.45 ncf('1.2.1.3.2',plain,[-(environment(295 ^ []))],extension(298 ^ 8)).
% 2.67/3.45 ncf('1.2.1.3.3',plain,[-(in_environment(295 ^ [], 296 ^ [])), environment(295 ^ []), subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ [])],extension(268 ^ 8,bind([[_73892, _73894], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.1.3.3.1',plain,[-(environment(295 ^ []))],lemmata('[1, 2, 1].x')).
% 2.67/3.45 ncf('1.2.1.3.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))],extension(300 ^ 9)).
% 2.67/3.45 ncf('1.2.1.3.4',plain,[-(subpopulation(first_movers, 295 ^ [], 296 ^ [])), environment(295 ^ []), in_environment(295 ^ [], 296 ^ [])],extension(186 ^ 8,bind([[_71409, _71411], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.1.3.4.1',plain,[-(environment(295 ^ []))],lemmata('[1, 2, 1].x')).
% 2.67/3.45 ncf('1.2.1.3.4.2',plain,[-(in_environment(295 ^ [], 296 ^ []))],lemmata('[1, 2, 1].x')).
% 2.67/3.45 ncf('1.2.1.3.5',plain,[-(greater(cardinality_at_time(first_movers, 296 ^ []), zero)), environment(295 ^ []), subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ [])],extension(256 ^ 8,bind([[_73504, _73506], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.1.3.5.1',plain,[-(environment(295 ^ []))],extension(298 ^ 9)).
% 2.67/3.45 ncf('1.2.1.3.5.2',plain,[-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))],extension(300 ^ 9)).
% 2.67/3.45 ncf('1.2.1.4',plain,[decreases(cardinality_at_time(first_movers, 296 ^ [])), 250 : -(greater(zero, growth_rate(first_movers, 296 ^ []))), 250 : environment(295 ^ []), 250 : in_environment(295 ^ [], 296 ^ []), 250 : subpopulation(first_movers, 295 ^ [], 296 ^ []), 250 : greater(cardinality_at_time(first_movers, 296 ^ []), zero)],extension(222 ^ 7,bind([[_72535, _72537, _72539], [296 ^ [], 295 ^ [], first_movers]]))).
% 2.67/3.45 ncf('1.2.1.4.1',plain,[greater(zero, growth_rate(first_movers, 296 ^ [])), greater(growth_rate(efficient_producers, 296 ^ []), zero)],extension(316 ^ 10)).
% 2.67/3.45 ncf('1.2.1.4.1.1',plain,[-(greater(growth_rate(efficient_producers, 296 ^ []), zero)), 244 : increases(cardinality_at_time(efficient_producers, 296 ^ [])), 244 : environment(295 ^ []), 244 : in_environment(295 ^ [], 296 ^ []), 244 : subpopulation(efficient_producers, 295 ^ [], 296 ^ []), 244 : greater(cardinality_at_time(efficient_producers, 296 ^ []), zero)],extension(222 ^ 11,bind([[_72535, _72537, _72539], [296 ^ [], 295 ^ [], efficient_producers]]))).
% 2.67/3.45 ncf('1.2.1.4.1.1.1',plain,[-(increases(cardinality_at_time(efficient_producers, 296 ^ [])))],extension(220 ^ 14)).
% 2.67/3.45 ncf('1.2.1.4.1.1.2',plain,[-(environment(295 ^ []))],extension(298 ^ 12)).
% 2.67/3.45 ncf('1.2.1.4.1.1.3',plain,[-(in_environment(295 ^ [], 296 ^ [])), environment(295 ^ []), subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ [])],extension(268 ^ 12,bind([[_73892, _73894], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.1.4.1.1.3.1',plain,[-(environment(295 ^ []))],lemmata('[1, 4, 1, 2, 1].x')).
% 2.67/3.45 ncf('1.2.1.4.1.1.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))],extension(300 ^ 13)).
% 2.67/3.45 ncf('1.2.1.4.1.1.4',plain,[-(subpopulation(efficient_producers, 295 ^ [], 296 ^ [])), environment(295 ^ []), in_environment(295 ^ [], 296 ^ [])],extension(186 ^ 12,bind([[_71409, _71411], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.1.4.1.1.4.1',plain,[-(environment(295 ^ []))],lemmata('[1, 4, 1, 2, 1].x')).
% 2.67/3.45 ncf('1.2.1.4.1.1.4.2',plain,[-(in_environment(295 ^ [], 296 ^ []))],lemmata('[1, 4, 1, 2, 1].x')).
% 2.67/3.45 ncf('1.2.1.4.1.1.5',plain,[-(greater(cardinality_at_time(efficient_producers, 296 ^ []), zero)), environment(295 ^ []), subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ [])],extension(256 ^ 12,bind([[_73504, _73506], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.1.4.1.1.5.1',plain,[-(environment(295 ^ []))],extension(298 ^ 13)).
% 2.67/3.45 ncf('1.2.1.4.1.1.5.2',plain,[-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))],extension(300 ^ 13)).
% 2.67/3.45 ncf('1.2.1.4.2',plain,[-(environment(295 ^ []))],extension(298 ^ 8)).
% 2.67/3.45 ncf('1.2.1.4.3',plain,[-(in_environment(295 ^ [], 296 ^ [])), environment(295 ^ []), subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ [])],extension(268 ^ 8,bind([[_73892, _73894], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.1.4.3.1',plain,[-(environment(295 ^ []))],lemmata('[1, 2, 1].x')).
% 2.67/3.45 ncf('1.2.1.4.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))],extension(300 ^ 9)).
% 2.67/3.45 ncf('1.2.1.4.4',plain,[-(subpopulation(first_movers, 295 ^ [], 296 ^ [])), environment(295 ^ []), in_environment(295 ^ [], 296 ^ [])],extension(186 ^ 8,bind([[_71409, _71411], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.1.4.4.1',plain,[-(environment(295 ^ []))],lemmata('[1, 2, 1].x')).
% 2.67/3.45 ncf('1.2.1.4.4.2',plain,[-(in_environment(295 ^ [], 296 ^ []))],lemmata('[1, 2, 1].x')).
% 2.67/3.45 ncf('1.2.1.4.5',plain,[-(greater(cardinality_at_time(first_movers, 296 ^ []), zero)), environment(295 ^ []), subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ [])],extension(256 ^ 8,bind([[_73504, _73506], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.1.4.5.1',plain,[-(environment(295 ^ []))],extension(298 ^ 9)).
% 2.67/3.45 ncf('1.2.1.4.5.2',plain,[-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))],extension(300 ^ 9)).
% 2.67/3.45 ncf('1.2.2',plain,[-(environment(295 ^ []))],extension(298 ^ 2)).
% 2.67/3.45 ncf('1.2.3',plain,[-(in_environment(295 ^ [], 296 ^ [])), environment(295 ^ []), subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ [])],extension(268 ^ 2,bind([[_73892, _73894], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.3.1',plain,[-(environment(295 ^ []))],lemmata('[1].x')).
% 2.67/3.45 ncf('1.2.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))],extension(300 ^ 3)).
% 2.67/3.45 ncf('1.2.4',plain,[-(subpopulation(efficient_producers, 295 ^ [], 296 ^ [])), environment(295 ^ []), in_environment(295 ^ [], 296 ^ [])],extension(186 ^ 2,bind([[_71409, _71411], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.4.1',plain,[-(environment(295 ^ []))],lemmata('[1].x')).
% 2.67/3.45 ncf('1.2.4.2',plain,[-(in_environment(295 ^ [], 296 ^ []))],lemmata('[1].x')).
% 2.67/3.45 ncf('1.2.5',plain,[-(greater(cardinality_at_time(efficient_producers, 296 ^ []), zero)), environment(295 ^ []), subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ [])],extension(256 ^ 2,bind([[_73504, _73506], [296 ^ [], 295 ^ []]]))).
% 2.67/3.45 ncf('1.2.5.1',plain,[-(environment(295 ^ []))],extension(298 ^ 3)).
% 2.67/3.45 ncf('1.2.5.2',plain,[-(subpopulations(first_movers, efficient_producers, 295 ^ [], 296 ^ []))],extension(300 ^ 3)).
% 2.67/3.45 %-----------------------------------------------------
% 2.67/3.45 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------