TSTP Solution File: MGT025+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : MGT025+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n017.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 : 600s
% DateTime : Sun Jul 17 22:16:49 EDT 2022
% Result : Theorem 235.18s 222.76s
% Output : Proof 235.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT025+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n017.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 : 600
% 0.12/0.33 % DateTime : Thu Jun 9 08:14:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 235.18/222.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 235.26/222.77 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 235.26/222.77
% 235.26/222.77 %-----------------------------------------------------
% 235.26/222.77 fof(mp_non_zero_producers, axiom, ! [_69393, _69396] : (environment(_69393) & subpopulations(first_movers, efficient_producers, _69393, _69396) => greater(cardinality_at_time(first_movers, _69396), zero) & greater(cardinality_at_time(efficient_producers, _69396), zero)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_non_zero_producers)).
% 235.26/222.77 fof(mp_growth_rate, axiom, ! [_69645, _69648, _69651] : (environment(_69648) & in_environment(_69648, _69651) & subpopulation(_69645, _69648, _69651) & greater(cardinality_at_time(_69645, _69651), zero) => (constant(cardinality_at_time(_69645, _69651)) => growth_rate(_69645, _69651) = zero) & (increases(cardinality_at_time(_69645, _69651)) => greater(growth_rate(_69645, _69651), zero)) & (decreases(cardinality_at_time(_69645, _69651)) => greater(zero, growth_rate(_69645, _69651)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_growth_rate)).
% 235.26/222.77 fof(mp_abc_sum_increase, axiom, ! [_70136, _70139, _70142] : (_70136 = sum(_70139, _70142) & constant(_70136) => constant(_70139) & constant(_70142) | increases(_70139) & decreases(_70142) | decreases(_70139) & increases(_70142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_abc_sum_increase)).
% 235.26/222.77 fof(prove_l7, conjecture, ! [_70472, _70475] : (environment(_70472) & subpopulations(first_movers, efficient_producers, _70472, _70475) & constant(number_of_organizations(_70472, _70475)) => growth_rate(first_movers, _70475) = zero & growth_rate(efficient_producers, _70475) = zero | greater(growth_rate(first_movers, _70475), zero) & greater(zero, growth_rate(efficient_producers, _70475)) | greater(growth_rate(efficient_producers, _70475), zero) & greater(zero, growth_rate(first_movers, _70475))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_l7)).
% 235.26/222.77 fof(mp_subpopulations, axiom, ! [_70918, _70921] : (environment(_70918) & in_environment(_70918, _70921) => subpopulation(first_movers, _70918, _70921) & subpopulation(efficient_producers, _70918, _70921)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_subpopulations)).
% 235.26/222.77 fof(mp_only_members, axiom, ! [_71139, _71142, _71145] : (environment(_71139) & subpopulation(_71142, _71139, _71145) & (greater(cardinality_at_time(_71142, _71145), zero) => _71142 = efficient_producers | _71142 = first_movers) => number_of_organizations(_71139, _71145) = sum(cardinality_at_time(first_movers, _71145), cardinality_at_time(efficient_producers, _71145))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_only_members)).
% 235.26/222.77 fof(a9, hypothesis, ! [_71537, _71540, _71543] : (environment(_71537) & subpopulation(_71540, _71537, _71543) & greater(cardinality_at_time(_71540, _71543), zero) => _71540 = efficient_producers | _71540 = first_movers), file('/export/starexec/sandbox/benchmark/theBenchmark.p', a9)).
% 235.26/222.77 fof(mp_time_point_occur, axiom, ! [_71858, _71861] : (environment(_71858) & subpopulations(first_movers, efficient_producers, _71858, _71861) => in_environment(_71858, _71861)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_time_point_occur)).
% 235.26/222.77
% 235.26/222.77 cnf(1, plain, [-(7 ^ [_9536, _9472]), -(greater(cardinality_at_time(efficient_producers, _9536), zero))], clausify(mp_non_zero_producers)).
% 235.26/222.77 cnf(2, plain, [-(7 ^ [_9536, _9472]), -(greater(cardinality_at_time(first_movers, _9536), zero))], clausify(mp_non_zero_producers)).
% 235.26/222.77 cnf(3, plain, [-(6 ^ [_8323, _8208, _8092]), increases(cardinality_at_time(_8092, _8323)), -(greater(growth_rate(_8092, _8323), zero))], clausify(mp_growth_rate)).
% 235.26/222.77 cnf(4, plain, [7 ^ [_9536, _9472], environment(_9472), subpopulations(first_movers, efficient_producers, _9472, _9536)], clausify(mp_non_zero_producers)).
% 235.26/222.77 cnf(5, plain, [-(6 ^ [_8323, _8208, _8092]), constant(cardinality_at_time(_8092, _8323)), -(growth_rate(_8092, _8323) = zero)], clausify(mp_growth_rate)).
% 235.26/222.77 cnf(6, plain, [-(5 ^ [_7450, _7369, _7287]), -(increases(_7450))], clausify(mp_abc_sum_increase)).
% 235.26/222.77 cnf(7, plain, [-(4 ^ [_7450, _7369, _7287]), -(decreases(_7450))], clausify(mp_abc_sum_increase)).
% 235.26/222.77 cnf(8, plain, [-(3 ^ [_7450, _7369, _7287]), -(constant(_7369))], clausify(mp_abc_sum_increase)).
% 235.26/222.77 cnf(9, plain, [-(4 ^ [_7450, _7369, _7287]), -(increases(_7369))], clausify(mp_abc_sum_increase)).
% 235.26/222.77 cnf(10, plain, [-(3 ^ [_7450, _7369, _7287]), -(constant(_7450))], clausify(mp_abc_sum_increase)).
% 235.26/222.77 cnf(11, plain, [greater(growth_rate(efficient_producers, 9 ^ []), zero), greater(zero, growth_rate(first_movers, 9 ^ []))], clausify(prove_l7)).
% 235.26/222.77 cnf(12, plain, [-(2 ^ [_6802, _6744]), -(subpopulation(efficient_producers, _6744, _6802))], clausify(mp_subpopulations)).
% 235.26/222.77 cnf(13, plain, [-(2 ^ [_6802, _6744]), -(subpopulation(first_movers, _6744, _6802))], clausify(mp_subpopulations)).
% 235.26/222.77 cnf(14, plain, [-(1 ^ [_5929, _5841, _5752]), _5841 = first_movers], clausify(mp_only_members)).
% 235.26/222.77 cnf(15, plain, [-(1 ^ [_5929, _5841, _5752]), _5841 = efficient_producers], clausify(mp_only_members)).
% 235.26/222.77 cnf(16, plain, [-(environment(8 ^ []))], clausify(prove_l7)).
% 235.26/222.77 cnf(17, plain, [-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))], clausify(prove_l7)).
% 235.26/222.77 cnf(18, plain, [-(constant(number_of_organizations(8 ^ [], 9 ^ [])))], clausify(prove_l7)).
% 235.26/222.77 cnf(19, plain, [greater(growth_rate(first_movers, 9 ^ []), zero), greater(zero, growth_rate(efficient_producers, 9 ^ []))], clausify(prove_l7)).
% 235.26/222.77 cnf(20, plain, [-(_10619 = first_movers), -(_10619 = efficient_producers), environment(_10548), subpopulation(_10619, _10548, _10689), greater(cardinality_at_time(_10619, _10689), zero)], clausify(a9)).
% 235.26/222.77 cnf(21, plain, [-(6 ^ [_8323, _8208, _8092]), decreases(cardinality_at_time(_8092, _8323)), -(greater(zero, growth_rate(_8092, _8323)))], clausify(mp_growth_rate)).
% 235.26/222.77 cnf(22, plain, [-(number_of_organizations(_5752, _5929) = sum(cardinality_at_time(first_movers, _5929), cardinality_at_time(efficient_producers, _5929))), environment(_5752), subpopulation(_5841, _5752, _5929), 1 ^ [_5929, _5841, _5752]], clausify(mp_only_members)).
% 235.26/222.77 cnf(23, plain, [2 ^ [_6802, _6744], environment(_6744), in_environment(_6744, _6802)], clausify(mp_subpopulations)).
% 235.26/222.77 cnf(24, plain, [constant(_7287), _7287 = sum(_7369, _7450), 3 ^ [_7450, _7369, _7287], 4 ^ [_7450, _7369, _7287], 5 ^ [_7450, _7369, _7287]], clausify(mp_abc_sum_increase)).
% 235.26/222.77 cnf(25, plain, [greater(cardinality_at_time(_8092, _8323), zero), subpopulation(_8092, _8208, _8323), in_environment(_8208, _8323), environment(_8208), 6 ^ [_8323, _8208, _8092]], clausify(mp_growth_rate)).
% 235.26/222.77 cnf(26, plain, [growth_rate(first_movers, 9 ^ []) = zero, growth_rate(efficient_producers, 9 ^ []) = zero], clausify(prove_l7)).
% 235.26/222.77 cnf(27, plain, [-(in_environment(_10101, _10153)), environment(_10101), subpopulations(first_movers, efficient_producers, _10101, _10153)], clausify(mp_time_point_occur)).
% 235.26/222.77 cnf(28, plain, [-(5 ^ [_7450, _7369, _7287]), -(decreases(_7369))], clausify(mp_abc_sum_increase)).
% 235.26/222.77
% 235.26/222.77 cnf('1',plain,[-(constant(number_of_organizations(8 ^ [], 9 ^ [])))],start(18)).
% 235.26/222.77 cnf('1.1',plain,[constant(number_of_organizations(8 ^ [], 9 ^ [])), number_of_organizations(8 ^ [], 9 ^ []) = sum(cardinality_at_time(first_movers, 9 ^ []), cardinality_at_time(efficient_producers, 9 ^ [])), 3 ^ [cardinality_at_time(efficient_producers, 9 ^ []), cardinality_at_time(first_movers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ [])], 4 ^ [cardinality_at_time(efficient_producers, 9 ^ []), cardinality_at_time(first_movers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ [])], 5 ^ [cardinality_at_time(efficient_producers, 9 ^ []), cardinality_at_time(first_movers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ [])]],extension(24,bind([[_7450, _7369, _7287], [cardinality_at_time(efficient_producers, 9 ^ []), cardinality_at_time(first_movers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ [])]]))).
% 235.26/222.77 cnf('1.1.1',plain,[-(number_of_organizations(8 ^ [], 9 ^ []) = sum(cardinality_at_time(first_movers, 9 ^ []), cardinality_at_time(efficient_producers, 9 ^ []))), environment(8 ^ []), subpopulation(efficient_producers, 8 ^ [], 9 ^ []), 1 ^ [9 ^ [], efficient_producers, 8 ^ []]],extension(22,bind([[_5929, _5841, _5752], [9 ^ [], efficient_producers, 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.1.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.1.2',plain,[-(subpopulation(efficient_producers, 8 ^ [], 9 ^ [])), -(2 ^ [9 ^ [], 8 ^ []])],extension(12,bind([[_6802, _6744], [9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.1.2.1',plain,[2 ^ [9 ^ [], 8 ^ []], environment(8 ^ []), in_environment(8 ^ [], 9 ^ [])],extension(23,bind([[_6744, _6802], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.1.2.1.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.1.2.1.2',plain,[-(in_environment(8 ^ [], 9 ^ [])), environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(27,bind([[_10101, _10153], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.1.2.1.2.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.1.2.1.2.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.1.3',plain,[-(1 ^ [9 ^ [], efficient_producers, 8 ^ []]), efficient_producers = first_movers],extension(14,bind([[_5929, _5752, _5841], [9 ^ [], 8 ^ [], efficient_producers]]))).
% 235.26/222.77 cnf('1.1.1.3.1',plain,[-(efficient_producers = first_movers), -(efficient_producers = efficient_producers), environment(8 ^ []), subpopulation(efficient_producers, 8 ^ [], 9 ^ []), greater(cardinality_at_time(efficient_producers, 9 ^ []), zero)],extension(20,bind([[_10548, _10619, _10689], [8 ^ [], efficient_producers, 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.1.3.1.1',plain,[efficient_producers = efficient_producers, -(1 ^ [9 ^ [], efficient_producers, 8 ^ []])],extension(15,bind([[_5929, _5841, _5752], [9 ^ [], efficient_producers, 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.1.3.1.1.1',plain,[1 ^ [9 ^ [], efficient_producers, 8 ^ []]],reduction('1.1.1')).
% 235.26/222.77 cnf('1.1.1.3.1.2',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.1.3.1.3',plain,[-(subpopulation(efficient_producers, 8 ^ [], 9 ^ [])), -(2 ^ [9 ^ [], 8 ^ []])],extension(12,bind([[_6802, _6744], [9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.1.3.1.3.1',plain,[2 ^ [9 ^ [], 8 ^ []], environment(8 ^ []), in_environment(8 ^ [], 9 ^ [])],extension(23,bind([[_6744, _6802], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.1.3.1.3.1.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.1.3.1.3.1.2',plain,[-(in_environment(8 ^ [], 9 ^ [])), environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(27,bind([[_10101, _10153], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.1.3.1.3.1.2.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.1.3.1.3.1.2.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.1.3.1.4',plain,[-(greater(cardinality_at_time(efficient_producers, 9 ^ []), zero)), -(7 ^ [9 ^ [], 8 ^ []])],extension(1,bind([[_9536, _9472], [9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.1.3.1.4.1',plain,[7 ^ [9 ^ [], 8 ^ []], environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(4,bind([[_9472, _9536], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.1.3.1.4.1.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.1.3.1.4.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.2',plain,[-(3 ^ [cardinality_at_time(efficient_producers, 9 ^ []), cardinality_at_time(first_movers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ [])]), -(constant(cardinality_at_time(first_movers, 9 ^ [])))],extension(8,bind([[_7450, _7287, _7369], [cardinality_at_time(efficient_producers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ []), cardinality_at_time(first_movers, 9 ^ [])]]))).
% 235.26/222.77 cnf('1.1.2.1',plain,[constant(cardinality_at_time(first_movers, 9 ^ [])), -(6 ^ [9 ^ [], 8 ^ [], first_movers]), -(growth_rate(first_movers, 9 ^ []) = zero)],extension(5,bind([[_8208, _8092, _8323], [8 ^ [], first_movers, 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.2.1.1',plain,[6 ^ [9 ^ [], 8 ^ [], first_movers], greater(cardinality_at_time(first_movers, 9 ^ []), zero), subpopulation(first_movers, 8 ^ [], 9 ^ []), in_environment(8 ^ [], 9 ^ []), environment(8 ^ [])],extension(25,bind([[_8092, _8323, _8208], [first_movers, 9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.2.1.1.1',plain,[-(greater(cardinality_at_time(first_movers, 9 ^ []), zero)), -(7 ^ [9 ^ [], 8 ^ []])],extension(2,bind([[_9536, _9472], [9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.2.1.1.1.1',plain,[7 ^ [9 ^ [], 8 ^ []], environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(4,bind([[_9472, _9536], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.2.1.1.1.1.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.2.1.1.1.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.2.1.1.2',plain,[-(subpopulation(first_movers, 8 ^ [], 9 ^ [])), -(2 ^ [9 ^ [], 8 ^ []])],extension(13,bind([[_6802, _6744], [9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.2.1.1.2.1',plain,[2 ^ [9 ^ [], 8 ^ []], environment(8 ^ []), in_environment(8 ^ [], 9 ^ [])],extension(23,bind([[_6744, _6802], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.2.1.1.2.1.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.2.1.1.2.1.2',plain,[-(in_environment(8 ^ [], 9 ^ [])), environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(27,bind([[_10101, _10153], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.2.1.1.2.1.2.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.2.1.1.2.1.2.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.2.1.1.3',plain,[-(in_environment(8 ^ [], 9 ^ [])), environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(27,bind([[_10101, _10153], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.2.1.1.3.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.2.1.1.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.2.1.1.4',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.2.1.2',plain,[growth_rate(first_movers, 9 ^ []) = zero, growth_rate(efficient_producers, 9 ^ []) = zero],extension(26)).
% 235.26/222.77 cnf('1.1.2.1.2.1',plain,[-(growth_rate(efficient_producers, 9 ^ []) = zero), -(6 ^ [9 ^ [], 8 ^ [], efficient_producers]), constant(cardinality_at_time(efficient_producers, 9 ^ []))],extension(5,bind([[_8208, _8092, _8323], [8 ^ [], efficient_producers, 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.2.1.2.1.1',plain,[6 ^ [9 ^ [], 8 ^ [], efficient_producers], greater(cardinality_at_time(efficient_producers, 9 ^ []), zero), subpopulation(efficient_producers, 8 ^ [], 9 ^ []), in_environment(8 ^ [], 9 ^ []), environment(8 ^ [])],extension(25,bind([[_8092, _8323, _8208], [efficient_producers, 9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.2.1.2.1.1.1',plain,[-(greater(cardinality_at_time(efficient_producers, 9 ^ []), zero)), -(7 ^ [9 ^ [], 8 ^ []])],extension(1,bind([[_9536, _9472], [9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.2.1.2.1.1.1.1',plain,[7 ^ [9 ^ [], 8 ^ []], environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(4,bind([[_9472, _9536], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.2.1.2.1.1.1.1.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.2.1.2.1.1.1.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.2.1.2.1.1.2',plain,[-(subpopulation(efficient_producers, 8 ^ [], 9 ^ [])), -(2 ^ [9 ^ [], 8 ^ []])],extension(12,bind([[_6802, _6744], [9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.2.1.2.1.1.2.1',plain,[2 ^ [9 ^ [], 8 ^ []], environment(8 ^ []), in_environment(8 ^ [], 9 ^ [])],extension(23,bind([[_6744, _6802], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.2.1.2.1.1.2.1.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.2.1.2.1.1.2.1.2',plain,[-(in_environment(8 ^ [], 9 ^ [])), environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(27,bind([[_10101, _10153], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.2.1.2.1.1.2.1.2.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.2.1.2.1.1.2.1.2.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.2.1.2.1.1.3',plain,[-(in_environment(8 ^ [], 9 ^ [])), environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(27,bind([[_10101, _10153], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.2.1.2.1.1.3.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.2.1.2.1.1.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.2.1.2.1.1.4',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.2.1.2.1.2',plain,[-(constant(cardinality_at_time(efficient_producers, 9 ^ []))), -(3 ^ [cardinality_at_time(efficient_producers, 9 ^ []), cardinality_at_time(first_movers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ [])])],extension(10,bind([[_7450, _7369, _7287], [cardinality_at_time(efficient_producers, 9 ^ []), cardinality_at_time(first_movers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ [])]]))).
% 235.26/222.77 cnf('1.1.2.1.2.1.2.1',plain,[3 ^ [cardinality_at_time(efficient_producers, 9 ^ []), cardinality_at_time(first_movers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ [])]],reduction('1.1')).
% 235.26/222.77 cnf('1.1.3',plain,[-(4 ^ [cardinality_at_time(efficient_producers, 9 ^ []), cardinality_at_time(first_movers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ [])]), -(decreases(cardinality_at_time(efficient_producers, 9 ^ [])))],extension(7,bind([[_7369, _7287, _7450], [cardinality_at_time(first_movers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ []), cardinality_at_time(efficient_producers, 9 ^ [])]]))).
% 235.26/222.77 cnf('1.1.3.1',plain,[decreases(cardinality_at_time(efficient_producers, 9 ^ [])), -(6 ^ [9 ^ [], 8 ^ [], efficient_producers]), -(greater(zero, growth_rate(efficient_producers, 9 ^ [])))],extension(21,bind([[_8208, _8092, _8323], [8 ^ [], efficient_producers, 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.3.1.1',plain,[6 ^ [9 ^ [], 8 ^ [], efficient_producers], greater(cardinality_at_time(efficient_producers, 9 ^ []), zero), subpopulation(efficient_producers, 8 ^ [], 9 ^ []), in_environment(8 ^ [], 9 ^ []), environment(8 ^ [])],extension(25,bind([[_8092, _8323, _8208], [efficient_producers, 9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.3.1.1.1',plain,[-(greater(cardinality_at_time(efficient_producers, 9 ^ []), zero)), -(7 ^ [9 ^ [], 8 ^ []])],extension(1,bind([[_9536, _9472], [9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.3.1.1.1.1',plain,[7 ^ [9 ^ [], 8 ^ []], environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(4,bind([[_9472, _9536], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.3.1.1.1.1.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.3.1.1.1.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.3.1.1.2',plain,[-(subpopulation(efficient_producers, 8 ^ [], 9 ^ [])), -(2 ^ [9 ^ [], 8 ^ []])],extension(12,bind([[_6802, _6744], [9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.3.1.1.2.1',plain,[2 ^ [9 ^ [], 8 ^ []], environment(8 ^ []), in_environment(8 ^ [], 9 ^ [])],extension(23,bind([[_6744, _6802], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.3.1.1.2.1.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.3.1.1.2.1.2',plain,[-(in_environment(8 ^ [], 9 ^ [])), environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(27,bind([[_10101, _10153], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.3.1.1.2.1.2.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.3.1.1.2.1.2.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.3.1.1.3',plain,[-(in_environment(8 ^ [], 9 ^ [])), environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(27,bind([[_10101, _10153], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.3.1.1.3.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.3.1.1.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.3.1.1.4',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.3.1.2',plain,[greater(zero, growth_rate(efficient_producers, 9 ^ [])), greater(growth_rate(first_movers, 9 ^ []), zero)],extension(19)).
% 235.26/222.77 cnf('1.1.3.1.2.1',plain,[-(greater(growth_rate(first_movers, 9 ^ []), zero)), -(6 ^ [9 ^ [], 8 ^ [], first_movers]), increases(cardinality_at_time(first_movers, 9 ^ []))],extension(3,bind([[_8208, _8092, _8323], [8 ^ [], first_movers, 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.3.1.2.1.1',plain,[6 ^ [9 ^ [], 8 ^ [], first_movers], greater(cardinality_at_time(first_movers, 9 ^ []), zero), subpopulation(first_movers, 8 ^ [], 9 ^ []), in_environment(8 ^ [], 9 ^ []), environment(8 ^ [])],extension(25,bind([[_8092, _8323, _8208], [first_movers, 9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.3.1.2.1.1.1',plain,[-(greater(cardinality_at_time(first_movers, 9 ^ []), zero)), -(7 ^ [9 ^ [], 8 ^ []])],extension(2,bind([[_9536, _9472], [9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.3.1.2.1.1.1.1',plain,[7 ^ [9 ^ [], 8 ^ []], environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(4,bind([[_9472, _9536], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.3.1.2.1.1.1.1.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.3.1.2.1.1.1.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.3.1.2.1.1.2',plain,[-(subpopulation(first_movers, 8 ^ [], 9 ^ [])), -(2 ^ [9 ^ [], 8 ^ []])],extension(13,bind([[_6802, _6744], [9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.3.1.2.1.1.2.1',plain,[2 ^ [9 ^ [], 8 ^ []], environment(8 ^ []), in_environment(8 ^ [], 9 ^ [])],extension(23,bind([[_6744, _6802], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.3.1.2.1.1.2.1.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.3.1.2.1.1.2.1.2',plain,[-(in_environment(8 ^ [], 9 ^ [])), environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(27,bind([[_10101, _10153], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.3.1.2.1.1.2.1.2.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.3.1.2.1.1.2.1.2.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.3.1.2.1.1.3',plain,[-(in_environment(8 ^ [], 9 ^ [])), environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(27,bind([[_10101, _10153], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.3.1.2.1.1.3.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.3.1.2.1.1.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.3.1.2.1.1.4',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.3.1.2.1.2',plain,[-(increases(cardinality_at_time(first_movers, 9 ^ []))), -(4 ^ [cardinality_at_time(efficient_producers, 9 ^ []), cardinality_at_time(first_movers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ [])])],extension(9,bind([[_7450, _7369, _7287], [cardinality_at_time(efficient_producers, 9 ^ []), cardinality_at_time(first_movers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ [])]]))).
% 235.26/222.77 cnf('1.1.3.1.2.1.2.1',plain,[4 ^ [cardinality_at_time(efficient_producers, 9 ^ []), cardinality_at_time(first_movers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ [])]],reduction('1.1')).
% 235.26/222.77 cnf('1.1.4',plain,[-(5 ^ [cardinality_at_time(efficient_producers, 9 ^ []), cardinality_at_time(first_movers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ [])]), -(increases(cardinality_at_time(efficient_producers, 9 ^ [])))],extension(6,bind([[_7369, _7287, _7450], [cardinality_at_time(first_movers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ []), cardinality_at_time(efficient_producers, 9 ^ [])]]))).
% 235.26/222.77 cnf('1.1.4.1',plain,[increases(cardinality_at_time(efficient_producers, 9 ^ [])), -(6 ^ [9 ^ [], 8 ^ [], efficient_producers]), -(greater(growth_rate(efficient_producers, 9 ^ []), zero))],extension(3,bind([[_8208, _8092, _8323], [8 ^ [], efficient_producers, 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.4.1.1',plain,[6 ^ [9 ^ [], 8 ^ [], efficient_producers], greater(cardinality_at_time(efficient_producers, 9 ^ []), zero), subpopulation(efficient_producers, 8 ^ [], 9 ^ []), in_environment(8 ^ [], 9 ^ []), environment(8 ^ [])],extension(25,bind([[_8092, _8323, _8208], [efficient_producers, 9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.4.1.1.1',plain,[-(greater(cardinality_at_time(efficient_producers, 9 ^ []), zero)), -(7 ^ [9 ^ [], 8 ^ []])],extension(1,bind([[_9536, _9472], [9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.4.1.1.1.1',plain,[7 ^ [9 ^ [], 8 ^ []], environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(4,bind([[_9472, _9536], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.4.1.1.1.1.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.4.1.1.1.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.4.1.1.2',plain,[-(subpopulation(efficient_producers, 8 ^ [], 9 ^ [])), -(2 ^ [9 ^ [], 8 ^ []])],extension(12,bind([[_6802, _6744], [9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.4.1.1.2.1',plain,[2 ^ [9 ^ [], 8 ^ []], environment(8 ^ []), in_environment(8 ^ [], 9 ^ [])],extension(23,bind([[_6744, _6802], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.4.1.1.2.1.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.4.1.1.2.1.2',plain,[-(in_environment(8 ^ [], 9 ^ [])), environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(27,bind([[_10101, _10153], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.4.1.1.2.1.2.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.4.1.1.2.1.2.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.4.1.1.3',plain,[-(in_environment(8 ^ [], 9 ^ [])), environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(27,bind([[_10101, _10153], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.4.1.1.3.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.4.1.1.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.4.1.1.4',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.4.1.2',plain,[greater(growth_rate(efficient_producers, 9 ^ []), zero), greater(zero, growth_rate(first_movers, 9 ^ []))],extension(11)).
% 235.26/222.77 cnf('1.1.4.1.2.1',plain,[-(greater(zero, growth_rate(first_movers, 9 ^ []))), -(6 ^ [9 ^ [], 8 ^ [], first_movers]), decreases(cardinality_at_time(first_movers, 9 ^ []))],extension(21,bind([[_8208, _8092, _8323], [8 ^ [], first_movers, 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.4.1.2.1.1',plain,[6 ^ [9 ^ [], 8 ^ [], first_movers], greater(cardinality_at_time(first_movers, 9 ^ []), zero), subpopulation(first_movers, 8 ^ [], 9 ^ []), in_environment(8 ^ [], 9 ^ []), environment(8 ^ [])],extension(25,bind([[_8092, _8323, _8208], [first_movers, 9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.4.1.2.1.1.1',plain,[-(greater(cardinality_at_time(first_movers, 9 ^ []), zero)), -(7 ^ [9 ^ [], 8 ^ []])],extension(2,bind([[_9536, _9472], [9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.4.1.2.1.1.1.1',plain,[7 ^ [9 ^ [], 8 ^ []], environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(4,bind([[_9472, _9536], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.4.1.2.1.1.1.1.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.4.1.2.1.1.1.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.4.1.2.1.1.2',plain,[-(subpopulation(first_movers, 8 ^ [], 9 ^ [])), -(2 ^ [9 ^ [], 8 ^ []])],extension(13,bind([[_6802, _6744], [9 ^ [], 8 ^ []]]))).
% 235.26/222.77 cnf('1.1.4.1.2.1.1.2.1',plain,[2 ^ [9 ^ [], 8 ^ []], environment(8 ^ []), in_environment(8 ^ [], 9 ^ [])],extension(23,bind([[_6744, _6802], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.4.1.2.1.1.2.1.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.4.1.2.1.1.2.1.2',plain,[-(in_environment(8 ^ [], 9 ^ [])), environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(27,bind([[_10101, _10153], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.4.1.2.1.1.2.1.2.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.4.1.2.1.1.2.1.2.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.4.1.2.1.1.3',plain,[-(in_environment(8 ^ [], 9 ^ [])), environment(8 ^ []), subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ [])],extension(27,bind([[_10101, _10153], [8 ^ [], 9 ^ []]]))).
% 235.26/222.77 cnf('1.1.4.1.2.1.1.3.1',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.4.1.2.1.1.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 8 ^ [], 9 ^ []))],extension(17)).
% 235.26/222.77 cnf('1.1.4.1.2.1.1.4',plain,[-(environment(8 ^ []))],extension(16)).
% 235.26/222.77 cnf('1.1.4.1.2.1.2',plain,[-(decreases(cardinality_at_time(first_movers, 9 ^ []))), -(5 ^ [cardinality_at_time(efficient_producers, 9 ^ []), cardinality_at_time(first_movers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ [])])],extension(28,bind([[_7450, _7369, _7287], [cardinality_at_time(efficient_producers, 9 ^ []), cardinality_at_time(first_movers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ [])]]))).
% 235.26/222.77 cnf('1.1.4.1.2.1.2.1',plain,[5 ^ [cardinality_at_time(efficient_producers, 9 ^ []), cardinality_at_time(first_movers, 9 ^ []), number_of_organizations(8 ^ [], 9 ^ [])]],reduction('1.1')).
% 235.26/222.77 %-----------------------------------------------------
% 235.26/222.78
% 235.26/222.78 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------