TSTP Solution File: MGT024+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : MGT024+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n016.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 0.32s 1.38s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT024+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n016.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 : Fri May 19 00:06:42 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.32/1.38
% 0.32/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.32/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/1.38 %-----------------------------------------------------
% 0.32/1.38 ncf(matrix, plain, [(254 ^ _46995) ^ [] : [-(environment(251 ^ []))], (256 ^ _46995) ^ [] : [-(subpopulations(first_movers, efficient_producers, 251 ^ [], 252 ^ []))], (258 ^ _46995) ^ [] : [-(greater_or_equal(252 ^ [], equilibrium(251 ^ [])))], (260 ^ _46995) ^ [] : [growth_rate(first_movers, 252 ^ []) = zero, growth_rate(efficient_producers, 252 ^ []) = zero], (266 ^ _46995) ^ [] : [greater(growth_rate(first_movers, 252 ^ []), zero), greater(zero, growth_rate(efficient_producers, 252 ^ []))], (272 ^ _46995) ^ [] : [greater(growth_rate(efficient_producers, 252 ^ []), zero), greater(zero, growth_rate(first_movers, 252 ^ []))], (150 ^ _46995) ^ [_52057, _52059] : [-(in_environment(_52059, _52057)), environment(_52059), subpopulations(first_movers, efficient_producers, _52059, _52057)], (160 ^ _46995) ^ [_52358, _52360] : [-(greater(number_of_organizations(_52360, _52358), zero)), environment(_52360), subpopulations(first_movers, efficient_producers, _52360, _52358)], (170 ^ _46995) ^ [_52665, _52667] : [greater(equilibrium(_52667), _52665), environment(_52667), greater_or_equal(_52665, equilibrium(_52667))], (180 ^ _46995) ^ [_52971, _52973] : [environment(_52973), in_environment(_52973, _52971), greater(number_of_organizations(_52973, _52971), zero), 191 ^ _46995 : [(192 ^ _46995) ^ [] : [greater(equilibrium(_52973), _52971), -(decreases(resources(_52973, _52971)))], (198 ^ _46995) ^ [] : [-(greater(equilibrium(_52973), _52971)), -(constant(resources(_52973, _52971)))]]], (204 ^ _46995) ^ [_53639, _53641] : [environment(_53641), in_environment(_53641, _53639), 211 ^ _46995 : [(212 ^ _46995) ^ [] : [decreases(resources(_53641, _53639)), decreases(number_of_organizations(_53641, _53639))], (218 ^ _46995) ^ [] : [constant(resources(_53641, _53639)), -(constant(number_of_organizations(_53641, _53639)))]]], (224 ^ _46995) ^ [_54188, _54190] : [environment(_54190), subpopulations(first_movers, efficient_producers, _54190, _54188), constant(number_of_organizations(_54190, _54188)), 237 ^ _46995 : [(238 ^ _46995) ^ [] : [-(growth_rate(first_movers, _54188) = zero)], (240 ^ _46995) ^ [] : [-(growth_rate(efficient_producers, _54188) = zero)]], 243 ^ _46995 : [(244 ^ _46995) ^ [] : [-(greater(growth_rate(first_movers, _54188), zero))], (246 ^ _46995) ^ [] : [-(greater(zero, growth_rate(efficient_producers, _54188)))]], 247 ^ _46995 : [(248 ^ _46995) ^ [] : [-(greater(growth_rate(efficient_producers, _54188), zero))], (250 ^ _46995) ^ [] : [-(greater(zero, growth_rate(first_movers, _54188)))]]], (114 ^ _46995) ^ [_50796, _50798, _50800, _50802] : [-(resources(_50802, _50798) = resources(_50800, _50796)), _50802 = _50800, _50798 = _50796], (124 ^ _46995) ^ [_51155, _51157, _51159, _51161] : [-(number_of_organizations(_51161, _51157) = number_of_organizations(_51159, _51155)), _51161 = _51159, _51157 = _51155], (134 ^ _46995) ^ [_51486, _51488] : [_51488 = _51486, -(equilibrium(_51488) = equilibrium(_51486))], (140 ^ _46995) ^ [_51712, _51714, _51716, _51718] : [-(growth_rate(_51718, _51714) = growth_rate(_51716, _51712)), _51718 = _51716, _51714 = _51712], (2 ^ _46995) ^ [_47139] : [-(_47139 = _47139)], (4 ^ _46995) ^ [_47246, _47248] : [_47248 = _47246, -(_47246 = _47248)], (10 ^ _46995) ^ [_47450, _47452, _47454] : [-(_47454 = _47450), _47454 = _47452, _47452 = _47450], (20 ^ _46995) ^ [_47791, _47793, _47795, _47797] : [-(in_environment(_47795, _47791)), in_environment(_47797, _47793), _47797 = _47795, _47793 = _47791], (34 ^ _46995) ^ [_48207, _48209] : [-(decreases(_48207)), _48209 = _48207, decreases(_48209)], (44 ^ _46995) ^ [_48502, _48504] : [-(constant(_48502)), _48504 = _48502, constant(_48504)], (54 ^ _46995) ^ [_48797, _48799] : [-(environment(_48797)), _48799 = _48797, environment(_48799)], (64 ^ _46995) ^ [_49176, _49178, _49180, _49182, _49184, _49186, _49188, _49190] : [-(subpopulations(_49188, _49184, _49180, _49176)), subpopulations(_49190, _49186, _49182, _49178), _49190 = _49188, _49186 = _49184, _49182 = _49180, _49178 = _49176], (86 ^ _46995) ^ [_49910, _49912, _49914, _49916] : [-(greater_or_equal(_49914, _49910)), greater_or_equal(_49916, _49912), _49916 = _49914, _49912 = _49910], (100 ^ _46995) ^ [_50334, _50336, _50338, _50340] : [-(greater(_50338, _50334)), greater(_50340, _50336), _50340 = _50338, _50336 = _50334]], input).
% 0.32/1.38 ncf('1',plain,[growth_rate(first_movers, 252 ^ []) = zero, growth_rate(efficient_producers, 252 ^ []) = zero],start(260 ^ 0)).
% 0.32/1.38 ncf('1.1',plain,[-(growth_rate(first_movers, 252 ^ []) = zero), environment(251 ^ []), subpopulations(first_movers, efficient_producers, 251 ^ [], 252 ^ []), constant(number_of_organizations(251 ^ [], 252 ^ [])), 244 : -(greater(growth_rate(first_movers, 252 ^ []), zero)), 248 : -(greater(growth_rate(efficient_producers, 252 ^ []), zero))],extension(224 ^ 1,bind([[_54188, _54190], [252 ^ [], 251 ^ []]]))).
% 0.32/1.38 ncf('1.1.1',plain,[-(environment(251 ^ []))],extension(254 ^ 2)).
% 0.32/1.38 ncf('1.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 251 ^ [], 252 ^ []))],extension(256 ^ 2)).
% 0.32/1.38 ncf('1.1.3',plain,[-(constant(number_of_organizations(251 ^ [], 252 ^ []))), 218 : constant(resources(251 ^ [], 252 ^ [])), 218 : environment(251 ^ []), 218 : in_environment(251 ^ [], 252 ^ [])],extension(204 ^ 2,bind([[_53639, _53641], [252 ^ [], 251 ^ []]]))).
% 0.32/1.38 ncf('1.1.3.1',plain,[-(constant(resources(251 ^ [], 252 ^ []))), 198 : -(greater(equilibrium(251 ^ []), 252 ^ [])), 198 : environment(251 ^ []), 198 : in_environment(251 ^ [], 252 ^ []), 198 : greater(number_of_organizations(251 ^ [], 252 ^ []), zero)],extension(180 ^ 5,bind([[_52971, _52973], [252 ^ [], 251 ^ []]]))).
% 0.32/1.38 ncf('1.1.3.1.1',plain,[greater(equilibrium(251 ^ []), 252 ^ []), environment(251 ^ []), greater_or_equal(252 ^ [], equilibrium(251 ^ []))],extension(170 ^ 8,bind([[_52665, _52667], [252 ^ [], 251 ^ []]]))).
% 0.32/1.38 ncf('1.1.3.1.1.1',plain,[-(environment(251 ^ []))],lemmata('[1].x')).
% 0.32/1.38 ncf('1.1.3.1.1.2',plain,[-(greater_or_equal(252 ^ [], equilibrium(251 ^ [])))],extension(258 ^ 9)).
% 0.32/1.38 ncf('1.1.3.1.2',plain,[-(environment(251 ^ []))],lemmata('[1].x')).
% 0.32/1.38 ncf('1.1.3.1.3',plain,[-(in_environment(251 ^ [], 252 ^ [])), environment(251 ^ []), subpopulations(first_movers, efficient_producers, 251 ^ [], 252 ^ [])],extension(150 ^ 6,bind([[_52057, _52059], [252 ^ [], 251 ^ []]]))).
% 0.32/1.38 ncf('1.1.3.1.3.1',plain,[-(environment(251 ^ []))],lemmata('[3, 1, 1].x')).
% 0.32/1.38 ncf('1.1.3.1.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 251 ^ [], 252 ^ []))],lemmata('[1].x')).
% 0.32/1.38 ncf('1.1.3.1.4',plain,[-(greater(number_of_organizations(251 ^ [], 252 ^ []), zero)), environment(251 ^ []), subpopulations(first_movers, efficient_producers, 251 ^ [], 252 ^ [])],extension(160 ^ 6,bind([[_52358, _52360], [252 ^ [], 251 ^ []]]))).
% 0.32/1.38 ncf('1.1.3.1.4.1',plain,[-(environment(251 ^ []))],lemmata('[3, 1, 1].x')).
% 0.32/1.38 ncf('1.1.3.1.4.2',plain,[-(subpopulations(first_movers, efficient_producers, 251 ^ [], 252 ^ []))],lemmata('[1].x')).
% 0.32/1.38 ncf('1.1.3.2',plain,[-(environment(251 ^ []))],lemmata('[1].x')).
% 0.32/1.38 ncf('1.1.3.3',plain,[-(in_environment(251 ^ [], 252 ^ [])), environment(251 ^ []), subpopulations(first_movers, efficient_producers, 251 ^ [], 252 ^ [])],extension(150 ^ 3,bind([[_52057, _52059], [252 ^ [], 251 ^ []]]))).
% 0.32/1.38 ncf('1.1.3.3.1',plain,[-(environment(251 ^ []))],lemmata('[1, 1].x')).
% 0.32/1.38 ncf('1.1.3.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 251 ^ [], 252 ^ []))],lemmata('[1].x')).
% 0.32/1.38 ncf('1.1.4',plain,[greater(growth_rate(first_movers, 252 ^ []), zero), greater(zero, growth_rate(efficient_producers, 252 ^ []))],extension(266 ^ 4)).
% 0.32/1.38 ncf('1.1.4.1',plain,[-(greater(zero, growth_rate(efficient_producers, 252 ^ [])))],extension(246 ^ 5)).
% 0.32/1.38 ncf('1.1.5',plain,[greater(growth_rate(efficient_producers, 252 ^ []), zero), greater(zero, growth_rate(first_movers, 252 ^ []))],extension(272 ^ 4)).
% 0.32/1.38 ncf('1.1.5.1',plain,[-(greater(zero, growth_rate(first_movers, 252 ^ [])))],extension(250 ^ 5)).
% 0.32/1.38 ncf('1.2',plain,[-(growth_rate(efficient_producers, 252 ^ []) = zero), environment(251 ^ []), subpopulations(first_movers, efficient_producers, 251 ^ [], 252 ^ []), constant(number_of_organizations(251 ^ [], 252 ^ [])), 244 : -(greater(growth_rate(first_movers, 252 ^ []), zero)), 248 : -(greater(growth_rate(efficient_producers, 252 ^ []), zero))],extension(224 ^ 1,bind([[_54188, _54190], [252 ^ [], 251 ^ []]]))).
% 0.32/1.38 ncf('1.2.1',plain,[-(environment(251 ^ []))],extension(254 ^ 2)).
% 0.32/1.38 ncf('1.2.2',plain,[-(subpopulations(first_movers, efficient_producers, 251 ^ [], 252 ^ []))],extension(256 ^ 2)).
% 0.32/1.38 ncf('1.2.3',plain,[-(constant(number_of_organizations(251 ^ [], 252 ^ []))), 218 : constant(resources(251 ^ [], 252 ^ [])), 218 : environment(251 ^ []), 218 : in_environment(251 ^ [], 252 ^ [])],extension(204 ^ 2,bind([[_53639, _53641], [252 ^ [], 251 ^ []]]))).
% 0.32/1.38 ncf('1.2.3.1',plain,[-(constant(resources(251 ^ [], 252 ^ []))), 198 : -(greater(equilibrium(251 ^ []), 252 ^ [])), 198 : environment(251 ^ []), 198 : in_environment(251 ^ [], 252 ^ []), 198 : greater(number_of_organizations(251 ^ [], 252 ^ []), zero)],extension(180 ^ 5,bind([[_52971, _52973], [252 ^ [], 251 ^ []]]))).
% 0.32/1.38 ncf('1.2.3.1.1',plain,[greater(equilibrium(251 ^ []), 252 ^ []), environment(251 ^ []), greater_or_equal(252 ^ [], equilibrium(251 ^ []))],extension(170 ^ 8,bind([[_52665, _52667], [252 ^ [], 251 ^ []]]))).
% 0.32/1.38 ncf('1.2.3.1.1.1',plain,[-(environment(251 ^ []))],lemmata('[1].x')).
% 0.32/1.38 ncf('1.2.3.1.1.2',plain,[-(greater_or_equal(252 ^ [], equilibrium(251 ^ [])))],extension(258 ^ 9)).
% 0.32/1.38 ncf('1.2.3.1.2',plain,[-(environment(251 ^ []))],lemmata('[1].x')).
% 0.32/1.38 ncf('1.2.3.1.3',plain,[-(in_environment(251 ^ [], 252 ^ [])), environment(251 ^ []), subpopulations(first_movers, efficient_producers, 251 ^ [], 252 ^ [])],extension(150 ^ 6,bind([[_52057, _52059], [252 ^ [], 251 ^ []]]))).
% 0.32/1.38 ncf('1.2.3.1.3.1',plain,[-(environment(251 ^ []))],lemmata('[3, 2, 1].x')).
% 0.32/1.38 ncf('1.2.3.1.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 251 ^ [], 252 ^ []))],lemmata('[1].x')).
% 0.32/1.38 ncf('1.2.3.1.4',plain,[-(greater(number_of_organizations(251 ^ [], 252 ^ []), zero)), environment(251 ^ []), subpopulations(first_movers, efficient_producers, 251 ^ [], 252 ^ [])],extension(160 ^ 6,bind([[_52358, _52360], [252 ^ [], 251 ^ []]]))).
% 0.32/1.38 ncf('1.2.3.1.4.1',plain,[-(environment(251 ^ []))],lemmata('[3, 2, 1].x')).
% 0.32/1.38 ncf('1.2.3.1.4.2',plain,[-(subpopulations(first_movers, efficient_producers, 251 ^ [], 252 ^ []))],lemmata('[1].x')).
% 0.32/1.38 ncf('1.2.3.2',plain,[-(environment(251 ^ []))],lemmata('[1].x')).
% 0.32/1.38 ncf('1.2.3.3',plain,[-(in_environment(251 ^ [], 252 ^ [])), environment(251 ^ []), subpopulations(first_movers, efficient_producers, 251 ^ [], 252 ^ [])],extension(150 ^ 3,bind([[_52057, _52059], [252 ^ [], 251 ^ []]]))).
% 0.32/1.38 ncf('1.2.3.3.1',plain,[-(environment(251 ^ []))],lemmata('[2, 1].x')).
% 0.32/1.38 ncf('1.2.3.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 251 ^ [], 252 ^ []))],lemmata('[1].x')).
% 0.32/1.38 ncf('1.2.4',plain,[greater(growth_rate(first_movers, 252 ^ []), zero), greater(zero, growth_rate(efficient_producers, 252 ^ []))],extension(266 ^ 4)).
% 0.32/1.38 ncf('1.2.4.1',plain,[-(greater(zero, growth_rate(efficient_producers, 252 ^ [])))],extension(246 ^ 5)).
% 0.32/1.38 ncf('1.2.5',plain,[greater(growth_rate(efficient_producers, 252 ^ []), zero), greater(zero, growth_rate(first_movers, 252 ^ []))],extension(272 ^ 4)).
% 0.32/1.38 ncf('1.2.5.1',plain,[-(greater(zero, growth_rate(first_movers, 252 ^ [])))],extension(250 ^ 5)).
% 0.32/1.38 %-----------------------------------------------------
% 0.32/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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