TSTP Solution File: MGT024+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : MGT024+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n023.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 8.67s 8.63s
% Output : Proof 8.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT024+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n023.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 08:08:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.67/8.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.67/8.64 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.67/8.64
% 8.67/8.64 %-----------------------------------------------------
% 8.67/8.64 fof(prove_l6, conjecture, ! [_61335, _61338] : (environment(_61335) & subpopulations(first_movers, efficient_producers, _61335, _61338) & greater_or_equal(_61338, equilibrium(_61335)) => growth_rate(first_movers, _61338) = zero & growth_rate(efficient_producers, _61338) = zero | greater(growth_rate(first_movers, _61338), zero) & greater(zero, growth_rate(efficient_producers, _61338)) | greater(growth_rate(efficient_producers, _61338), zero) & greater(zero, growth_rate(first_movers, _61338))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_l6)).
% 8.67/8.64 fof(mp_time_point_occur, axiom, ! [_61836, _61839] : (environment(_61836) & subpopulations(first_movers, efficient_producers, _61836, _61839) => in_environment(_61836, _61839)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_time_point_occur)).
% 8.67/8.64 fof(mp_positive_number_of_organizations, axiom, ! [_62017, _62020] : (environment(_62017) & subpopulations(first_movers, efficient_producers, _62017, _62020) => greater(number_of_organizations(_62017, _62020), zero)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_positive_number_of_organizations)).
% 8.67/8.64 fof(mp_equilibrium, axiom, ! [_62214, _62217] : (environment(_62214) & greater_or_equal(_62217, equilibrium(_62214)) => ~ greater(equilibrium(_62214), _62217)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_equilibrium)).
% 8.67/8.64 fof(a3, hypothesis, ! [_62407, _62410] : (environment(_62407) & in_environment(_62407, _62410) & greater(number_of_organizations(_62407, _62410), zero) => (greater(equilibrium(_62407), _62410) => decreases(resources(_62407, _62410))) & (~ greater(equilibrium(_62407), _62410) => constant(resources(_62407, _62410)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', a3)).
% 8.67/8.64 fof(a6, hypothesis, ! [_62746, _62749] : (environment(_62746) & in_environment(_62746, _62749) => (decreases(resources(_62746, _62749)) => ~ decreases(number_of_organizations(_62746, _62749))) & (constant(resources(_62746, _62749)) => constant(number_of_organizations(_62746, _62749)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', a6)).
% 8.67/8.64 fof(l7, hypothesis, ! [_63040, _63043] : (environment(_63040) & subpopulations(first_movers, efficient_producers, _63040, _63043) & constant(number_of_organizations(_63040, _63043)) => growth_rate(first_movers, _63043) = zero & growth_rate(efficient_producers, _63043) = zero | greater(growth_rate(first_movers, _63043), zero) & greater(zero, growth_rate(efficient_producers, _63043)) | greater(growth_rate(efficient_producers, _63043), zero) & greater(zero, growth_rate(first_movers, _63043))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l7)).
% 8.67/8.64
% 8.67/8.64 cnf(1, plain, [-(environment(1 ^ []))], clausify(prove_l6)).
% 8.67/8.64 cnf(2, plain, [-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))], clausify(prove_l6)).
% 8.67/8.64 cnf(3, plain, [-(greater_or_equal(2 ^ [], equilibrium(1 ^ [])))], clausify(prove_l6)).
% 8.67/8.64 cnf(4, plain, [growth_rate(first_movers, 2 ^ []) = zero, growth_rate(efficient_producers, 2 ^ []) = zero], clausify(prove_l6)).
% 8.67/8.64 cnf(5, plain, [greater(growth_rate(first_movers, 2 ^ []), zero), greater(zero, growth_rate(efficient_producers, 2 ^ []))], clausify(prove_l6)).
% 8.67/8.64 cnf(6, plain, [greater(growth_rate(efficient_producers, 2 ^ []), zero), greater(zero, growth_rate(first_movers, 2 ^ []))], clausify(prove_l6)).
% 8.67/8.64 cnf(7, plain, [-(in_environment(_16013, _16065)), environment(_16013), subpopulations(first_movers, efficient_producers, _16013, _16065)], clausify(mp_time_point_occur)).
% 8.67/8.64 cnf(8, plain, [-(greater(number_of_organizations(_16470, _16525), zero)), environment(_16470), subpopulations(first_movers, efficient_producers, _16470, _16525)], clausify(mp_positive_number_of_organizations)).
% 8.67/8.64 cnf(9, plain, [greater(equilibrium(_16970), _17026), environment(_16970), greater_or_equal(_17026, equilibrium(_16970))], clausify(mp_equilibrium)).
% 8.67/8.64 cnf(10, plain, [greater(number_of_organizations(_17403, _17490), zero), in_environment(_17403, _17490), environment(_17403), -(greater(equilibrium(_17403), _17490)), -(constant(resources(_17403, _17490)))], clausify(a3)).
% 8.67/8.64 cnf(11, plain, [in_environment(_18263, _18341), environment(_18263), constant(resources(_18263, _18341)), -(constant(number_of_organizations(_18263, _18341)))], clausify(a6)).
% 8.67/8.64 cnf(12, plain, [constant(number_of_organizations(_18984, _19092)), subpopulations(first_movers, efficient_producers, _18984, _19092), environment(_18984), -(growth_rate(first_movers, _19092) = zero), -(greater(growth_rate(first_movers, _19092), zero)), -(greater(growth_rate(efficient_producers, _19092), zero))], clausify(l7)).
% 8.67/8.64 cnf(13, plain, [constant(number_of_organizations(_18984, _19092)), subpopulations(first_movers, efficient_producers, _18984, _19092), environment(_18984), -(growth_rate(first_movers, _19092) = zero), -(greater(growth_rate(first_movers, _19092), zero)), -(greater(zero, growth_rate(first_movers, _19092)))], clausify(l7)).
% 8.67/8.64 cnf(14, plain, [constant(number_of_organizations(_18984, _19092)), subpopulations(first_movers, efficient_producers, _18984, _19092), environment(_18984), -(growth_rate(first_movers, _19092) = zero), -(greater(zero, growth_rate(efficient_producers, _19092))), -(greater(growth_rate(efficient_producers, _19092), zero))], clausify(l7)).
% 8.67/8.64 cnf(15, plain, [constant(number_of_organizations(_18984, _19092)), subpopulations(first_movers, efficient_producers, _18984, _19092), environment(_18984), -(growth_rate(efficient_producers, _19092) = zero), -(greater(growth_rate(first_movers, _19092), zero)), -(greater(zero, growth_rate(first_movers, _19092)))], clausify(l7)).
% 8.67/8.64 cnf(16, plain, [constant(number_of_organizations(_18984, _19092)), subpopulations(first_movers, efficient_producers, _18984, _19092), environment(_18984), -(growth_rate(efficient_producers, _19092) = zero), -(greater(zero, growth_rate(efficient_producers, _19092))), -(greater(growth_rate(efficient_producers, _19092), zero))], clausify(l7)).
% 8.67/8.64 cnf(17, plain, [constant(number_of_organizations(_18984, _19092)), subpopulations(first_movers, efficient_producers, _18984, _19092), environment(_18984), -(growth_rate(efficient_producers, _19092) = zero), -(greater(zero, growth_rate(efficient_producers, _19092))), -(greater(zero, growth_rate(first_movers, _19092)))], clausify(l7)).
% 8.67/8.64 cnf(18, plain, [_8538 = _8583, -(_8583 = _8538)], theory(equality)).
% 8.67/8.64 cnf(19, plain, [-(greater(_10347, _10478)), greater(_10280, _10413), _10280 = _10347, _10413 = _10478], theory(equality)).
% 8.67/8.64
% 8.67/8.64 cnf('1',plain,[greater(growth_rate(first_movers, 2 ^ []), zero), greater(zero, growth_rate(efficient_producers, 2 ^ []))],start(5)).
% 8.67/8.64 cnf('1.1',plain,[-(greater(growth_rate(first_movers, 2 ^ []), zero)), constant(number_of_organizations(1 ^ [], 2 ^ [])), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []), environment(1 ^ []), -(growth_rate(first_movers, 2 ^ []) = zero), -(greater(growth_rate(efficient_producers, 2 ^ []), zero))],extension(12,bind([[_18984, _19092], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.1.1',plain,[-(constant(number_of_organizations(1 ^ [], 2 ^ []))), in_environment(1 ^ [], 2 ^ []), environment(1 ^ []), constant(resources(1 ^ [], 2 ^ []))],extension(11,bind([[_18263, _18341], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.1.1.1',plain,[-(in_environment(1 ^ [], 2 ^ [])), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(7,bind([[_16013, _16065], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.1.1.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.1.1.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 8.67/8.64 cnf('1.1.1.2',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.1.1.3',plain,[-(constant(resources(1 ^ [], 2 ^ []))), greater(number_of_organizations(1 ^ [], 2 ^ []), zero), in_environment(1 ^ [], 2 ^ []), environment(1 ^ []), -(greater(equilibrium(1 ^ []), 2 ^ []))],extension(10,bind([[_17403, _17490], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.1.1.3.1',plain,[-(greater(number_of_organizations(1 ^ [], 2 ^ []), zero)), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(8,bind([[_16470, _16525], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.1.1.3.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.1.1.3.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 8.67/8.64 cnf('1.1.1.3.2',plain,[-(in_environment(1 ^ [], 2 ^ []))],lemmata('1.1.1')).
% 8.67/8.64 cnf('1.1.1.3.3',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.1.1.3.4',plain,[greater(equilibrium(1 ^ []), 2 ^ []), environment(1 ^ []), greater_or_equal(2 ^ [], equilibrium(1 ^ []))],extension(9,bind([[_17026, _16970], [2 ^ [], 1 ^ []]]))).
% 8.67/8.64 cnf('1.1.1.3.4.1',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.1.1.3.4.2',plain,[-(greater_or_equal(2 ^ [], equilibrium(1 ^ [])))],extension(3)).
% 8.67/8.64 cnf('1.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 8.67/8.64 cnf('1.1.3',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.1.4',plain,[growth_rate(first_movers, 2 ^ []) = zero, growth_rate(efficient_producers, 2 ^ []) = zero],extension(4)).
% 8.67/8.64 cnf('1.1.4.1',plain,[-(growth_rate(efficient_producers, 2 ^ []) = zero), constant(number_of_organizations(1 ^ [], 2 ^ [])), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []), environment(1 ^ []), -(greater(growth_rate(first_movers, 2 ^ []), zero)), -(greater(zero, growth_rate(first_movers, 2 ^ [])))],extension(15,bind([[_18984, _19092], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.1.4.1.1',plain,[-(constant(number_of_organizations(1 ^ [], 2 ^ []))), in_environment(1 ^ [], 2 ^ []), environment(1 ^ []), constant(resources(1 ^ [], 2 ^ []))],extension(11,bind([[_18263, _18341], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.1.4.1.1.1',plain,[-(in_environment(1 ^ [], 2 ^ [])), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(7,bind([[_16013, _16065], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.1.4.1.1.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.1.4.1.1.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 8.67/8.64 cnf('1.1.4.1.1.2',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.1.4.1.1.3',plain,[-(constant(resources(1 ^ [], 2 ^ []))), greater(number_of_organizations(1 ^ [], 2 ^ []), zero), in_environment(1 ^ [], 2 ^ []), environment(1 ^ []), -(greater(equilibrium(1 ^ []), 2 ^ []))],extension(10,bind([[_17403, _17490], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.1.4.1.1.3.1',plain,[-(greater(number_of_organizations(1 ^ [], 2 ^ []), zero)), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(8,bind([[_16470, _16525], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.1.4.1.1.3.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.1.4.1.1.3.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 8.67/8.64 cnf('1.1.4.1.1.3.2',plain,[-(in_environment(1 ^ [], 2 ^ []))],lemmata('1.1.4.1.1')).
% 8.67/8.64 cnf('1.1.4.1.1.3.3',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.1.4.1.1.3.4',plain,[greater(equilibrium(1 ^ []), 2 ^ []), environment(1 ^ []), greater_or_equal(2 ^ [], equilibrium(1 ^ []))],extension(9,bind([[_17026, _16970], [2 ^ [], 1 ^ []]]))).
% 8.67/8.64 cnf('1.1.4.1.1.3.4.1',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.1.4.1.1.3.4.2',plain,[-(greater_or_equal(2 ^ [], equilibrium(1 ^ [])))],extension(3)).
% 8.67/8.64 cnf('1.1.4.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 8.67/8.64 cnf('1.1.4.1.3',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.1.4.1.4',plain,[greater(growth_rate(first_movers, 2 ^ []), zero)],reduction('1')).
% 8.67/8.64 cnf('1.1.4.1.5',plain,[greater(zero, growth_rate(first_movers, 2 ^ [])), -(greater(growth_rate(first_movers, 2 ^ []), zero)), zero = growth_rate(first_movers, 2 ^ []), growth_rate(first_movers, 2 ^ []) = zero],extension(19,bind([[_10280, _10347, _10413, _10478], [zero, growth_rate(first_movers, 2 ^ []), growth_rate(first_movers, 2 ^ []), zero]]))).
% 8.67/8.64 cnf('1.1.4.1.5.1',plain,[greater(growth_rate(first_movers, 2 ^ []), zero)],lemmata('1.1.4.1')).
% 8.67/8.64 cnf('1.1.4.1.5.2',plain,[-(zero = growth_rate(first_movers, 2 ^ [])), growth_rate(first_movers, 2 ^ []) = zero],extension(18,bind([[_8538, _8583], [growth_rate(first_movers, 2 ^ []), zero]]))).
% 8.67/8.64 cnf('1.1.4.1.5.2.1',plain,[-(growth_rate(first_movers, 2 ^ []) = zero)],reduction('1.1')).
% 8.67/8.64 cnf('1.1.4.1.5.3',plain,[-(growth_rate(first_movers, 2 ^ []) = zero)],reduction('1.1')).
% 8.67/8.64 cnf('1.1.5',plain,[greater(growth_rate(efficient_producers, 2 ^ []), zero), greater(zero, growth_rate(first_movers, 2 ^ []))],extension(6)).
% 8.67/8.64 cnf('1.1.5.1',plain,[-(greater(zero, growth_rate(first_movers, 2 ^ []))), constant(number_of_organizations(1 ^ [], 2 ^ [])), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []), environment(1 ^ []), -(growth_rate(first_movers, 2 ^ []) = zero), -(greater(growth_rate(first_movers, 2 ^ []), zero))],extension(13,bind([[_18984, _19092], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.1.5.1.1',plain,[-(constant(number_of_organizations(1 ^ [], 2 ^ []))), in_environment(1 ^ [], 2 ^ []), environment(1 ^ []), constant(resources(1 ^ [], 2 ^ []))],extension(11,bind([[_18263, _18341], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.1.5.1.1.1',plain,[-(in_environment(1 ^ [], 2 ^ [])), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(7,bind([[_16013, _16065], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.1.5.1.1.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.1.5.1.1.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 8.67/8.64 cnf('1.1.5.1.1.2',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.1.5.1.1.3',plain,[-(constant(resources(1 ^ [], 2 ^ []))), greater(number_of_organizations(1 ^ [], 2 ^ []), zero), in_environment(1 ^ [], 2 ^ []), environment(1 ^ []), -(greater(equilibrium(1 ^ []), 2 ^ []))],extension(10,bind([[_17403, _17490], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.1.5.1.1.3.1',plain,[-(greater(number_of_organizations(1 ^ [], 2 ^ []), zero)), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(8,bind([[_16470, _16525], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.1.5.1.1.3.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.1.5.1.1.3.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 8.67/8.64 cnf('1.1.5.1.1.3.2',plain,[-(in_environment(1 ^ [], 2 ^ []))],lemmata('1.1.5.1.1')).
% 8.67/8.64 cnf('1.1.5.1.1.3.3',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.1.5.1.1.3.4',plain,[greater(equilibrium(1 ^ []), 2 ^ []), environment(1 ^ []), greater_or_equal(2 ^ [], equilibrium(1 ^ []))],extension(9,bind([[_17026, _16970], [2 ^ [], 1 ^ []]]))).
% 8.67/8.64 cnf('1.1.5.1.1.3.4.1',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.1.5.1.1.3.4.2',plain,[-(greater_or_equal(2 ^ [], equilibrium(1 ^ [])))],extension(3)).
% 8.67/8.64 cnf('1.1.5.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 8.67/8.64 cnf('1.1.5.1.3',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.1.5.1.4',plain,[growth_rate(first_movers, 2 ^ []) = zero],lemmata('1.1')).
% 8.67/8.64 cnf('1.1.5.1.5',plain,[greater(growth_rate(first_movers, 2 ^ []), zero)],reduction('1')).
% 8.67/8.64 cnf('1.2',plain,[-(greater(zero, growth_rate(efficient_producers, 2 ^ []))), constant(number_of_organizations(1 ^ [], 2 ^ [])), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []), environment(1 ^ []), -(growth_rate(efficient_producers, 2 ^ []) = zero), -(greater(growth_rate(efficient_producers, 2 ^ []), zero))],extension(16,bind([[_18984, _19092], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.2.1',plain,[-(constant(number_of_organizations(1 ^ [], 2 ^ []))), in_environment(1 ^ [], 2 ^ []), environment(1 ^ []), constant(resources(1 ^ [], 2 ^ []))],extension(11,bind([[_18263, _18341], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.2.1.1',plain,[-(in_environment(1 ^ [], 2 ^ [])), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(7,bind([[_16013, _16065], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.2.1.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.2.1.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 8.67/8.64 cnf('1.2.1.2',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.2.1.3',plain,[-(constant(resources(1 ^ [], 2 ^ []))), greater(number_of_organizations(1 ^ [], 2 ^ []), zero), in_environment(1 ^ [], 2 ^ []), environment(1 ^ []), -(greater(equilibrium(1 ^ []), 2 ^ []))],extension(10,bind([[_17403, _17490], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.2.1.3.1',plain,[-(greater(number_of_organizations(1 ^ [], 2 ^ []), zero)), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(8,bind([[_16470, _16525], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.2.1.3.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.2.1.3.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 8.67/8.64 cnf('1.2.1.3.2',plain,[-(in_environment(1 ^ [], 2 ^ []))],lemmata('1.2.1')).
% 8.67/8.64 cnf('1.2.1.3.3',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.2.1.3.4',plain,[greater(equilibrium(1 ^ []), 2 ^ []), environment(1 ^ []), greater_or_equal(2 ^ [], equilibrium(1 ^ []))],extension(9,bind([[_17026, _16970], [2 ^ [], 1 ^ []]]))).
% 8.67/8.64 cnf('1.2.1.3.4.1',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.2.1.3.4.2',plain,[-(greater_or_equal(2 ^ [], equilibrium(1 ^ [])))],extension(3)).
% 8.67/8.64 cnf('1.2.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 8.67/8.64 cnf('1.2.3',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.2.4',plain,[growth_rate(efficient_producers, 2 ^ []) = zero, growth_rate(first_movers, 2 ^ []) = zero],extension(4)).
% 8.67/8.64 cnf('1.2.4.1',plain,[-(growth_rate(first_movers, 2 ^ []) = zero), constant(number_of_organizations(1 ^ [], 2 ^ [])), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []), environment(1 ^ []), -(greater(zero, growth_rate(efficient_producers, 2 ^ []))), -(greater(growth_rate(efficient_producers, 2 ^ []), zero))],extension(14,bind([[_18984, _19092], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.2.4.1.1',plain,[-(constant(number_of_organizations(1 ^ [], 2 ^ []))), in_environment(1 ^ [], 2 ^ []), environment(1 ^ []), constant(resources(1 ^ [], 2 ^ []))],extension(11,bind([[_18263, _18341], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.2.4.1.1.1',plain,[-(in_environment(1 ^ [], 2 ^ [])), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(7,bind([[_16013, _16065], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.2.4.1.1.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.2.4.1.1.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 8.67/8.64 cnf('1.2.4.1.1.2',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.2.4.1.1.3',plain,[-(constant(resources(1 ^ [], 2 ^ []))), greater(number_of_organizations(1 ^ [], 2 ^ []), zero), in_environment(1 ^ [], 2 ^ []), environment(1 ^ []), -(greater(equilibrium(1 ^ []), 2 ^ []))],extension(10,bind([[_17403, _17490], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.2.4.1.1.3.1',plain,[-(greater(number_of_organizations(1 ^ [], 2 ^ []), zero)), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(8,bind([[_16470, _16525], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.2.4.1.1.3.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.2.4.1.1.3.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 8.67/8.64 cnf('1.2.4.1.1.3.2',plain,[-(in_environment(1 ^ [], 2 ^ []))],lemmata('1.2.4.1.1')).
% 8.67/8.64 cnf('1.2.4.1.1.3.3',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.2.4.1.1.3.4',plain,[greater(equilibrium(1 ^ []), 2 ^ []), environment(1 ^ []), greater_or_equal(2 ^ [], equilibrium(1 ^ []))],extension(9,bind([[_17026, _16970], [2 ^ [], 1 ^ []]]))).
% 8.67/8.64 cnf('1.2.4.1.1.3.4.1',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.2.4.1.1.3.4.2',plain,[-(greater_or_equal(2 ^ [], equilibrium(1 ^ [])))],extension(3)).
% 8.67/8.64 cnf('1.2.4.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 8.67/8.64 cnf('1.2.4.1.3',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.2.4.1.4',plain,[greater(zero, growth_rate(efficient_producers, 2 ^ []))],reduction('1')).
% 8.67/8.64 cnf('1.2.4.1.5',plain,[greater(growth_rate(efficient_producers, 2 ^ []), zero), -(greater(zero, growth_rate(efficient_producers, 2 ^ []))), growth_rate(efficient_producers, 2 ^ []) = zero, zero = growth_rate(efficient_producers, 2 ^ [])],extension(19,bind([[_10280, _10347, _10413, _10478], [growth_rate(efficient_producers, 2 ^ []), zero, zero, growth_rate(efficient_producers, 2 ^ [])]]))).
% 8.67/8.64 cnf('1.2.4.1.5.1',plain,[greater(zero, growth_rate(efficient_producers, 2 ^ []))],lemmata('1.2.4.1')).
% 8.67/8.64 cnf('1.2.4.1.5.2',plain,[-(growth_rate(efficient_producers, 2 ^ []) = zero)],reduction('1.2')).
% 8.67/8.64 cnf('1.2.4.1.5.3',plain,[-(zero = growth_rate(efficient_producers, 2 ^ [])), growth_rate(efficient_producers, 2 ^ []) = zero],extension(18,bind([[_8538, _8583], [growth_rate(efficient_producers, 2 ^ []), zero]]))).
% 8.67/8.64 cnf('1.2.4.1.5.3.1',plain,[-(growth_rate(efficient_producers, 2 ^ []) = zero)],lemmata('1.2.4.1.5')).
% 8.67/8.64 cnf('1.2.5',plain,[greater(growth_rate(efficient_producers, 2 ^ []), zero), greater(zero, growth_rate(first_movers, 2 ^ []))],extension(6)).
% 8.67/8.64 cnf('1.2.5.1',plain,[-(greater(zero, growth_rate(first_movers, 2 ^ []))), constant(number_of_organizations(1 ^ [], 2 ^ [])), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []), environment(1 ^ []), -(growth_rate(efficient_producers, 2 ^ []) = zero), -(greater(zero, growth_rate(efficient_producers, 2 ^ [])))],extension(17,bind([[_18984, _19092], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.2.5.1.1',plain,[-(constant(number_of_organizations(1 ^ [], 2 ^ []))), in_environment(1 ^ [], 2 ^ []), environment(1 ^ []), constant(resources(1 ^ [], 2 ^ []))],extension(11,bind([[_18263, _18341], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.2.5.1.1.1',plain,[-(in_environment(1 ^ [], 2 ^ [])), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(7,bind([[_16013, _16065], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.2.5.1.1.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.2.5.1.1.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 8.67/8.64 cnf('1.2.5.1.1.2',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.2.5.1.1.3',plain,[-(constant(resources(1 ^ [], 2 ^ []))), greater(number_of_organizations(1 ^ [], 2 ^ []), zero), in_environment(1 ^ [], 2 ^ []), environment(1 ^ []), -(greater(equilibrium(1 ^ []), 2 ^ []))],extension(10,bind([[_17403, _17490], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.2.5.1.1.3.1',plain,[-(greater(number_of_organizations(1 ^ [], 2 ^ []), zero)), environment(1 ^ []), subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ [])],extension(8,bind([[_16470, _16525], [1 ^ [], 2 ^ []]]))).
% 8.67/8.64 cnf('1.2.5.1.1.3.1.1',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.2.5.1.1.3.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 8.67/8.64 cnf('1.2.5.1.1.3.2',plain,[-(in_environment(1 ^ [], 2 ^ []))],lemmata('1.2.5.1.1')).
% 8.67/8.64 cnf('1.2.5.1.1.3.3',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.2.5.1.1.3.4',plain,[greater(equilibrium(1 ^ []), 2 ^ []), environment(1 ^ []), greater_or_equal(2 ^ [], equilibrium(1 ^ []))],extension(9,bind([[_17026, _16970], [2 ^ [], 1 ^ []]]))).
% 8.67/8.64 cnf('1.2.5.1.1.3.4.1',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.2.5.1.1.3.4.2',plain,[-(greater_or_equal(2 ^ [], equilibrium(1 ^ [])))],extension(3)).
% 8.67/8.64 cnf('1.2.5.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 1 ^ [], 2 ^ []))],extension(2)).
% 8.67/8.64 cnf('1.2.5.1.3',plain,[-(environment(1 ^ []))],extension(1)).
% 8.67/8.64 cnf('1.2.5.1.4',plain,[growth_rate(efficient_producers, 2 ^ []) = zero],lemmata('1.2')).
% 8.67/8.64 cnf('1.2.5.1.5',plain,[greater(zero, growth_rate(efficient_producers, 2 ^ []))],reduction('1')).
% 8.67/8.64 %-----------------------------------------------------
% 8.67/8.65
% 8.75/8.65 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------