TSTP Solution File: MGT028+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : MGT028+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n024.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 22:16:50 EDT 2022
% Result : Theorem 0.33s 1.40s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : MGT028+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 09:35:49 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.33/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.40 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.41
% 0.33/1.41 %-----------------------------------------------------
% 0.33/1.41 fof(prove_l10, conjecture, ! [_24484] : (environment(_24484) & stable(_24484) => ? [_24506] : (greater(_24506, appear(efficient_producers, _24484)) & ! [_24531] : (subpopulations(first_movers, efficient_producers, _24484, _24531) & greater_or_equal(_24531, _24506) => greater(zero, growth_rate(first_movers, _24531))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_l10)).
% 0.33/1.41 fof(l11, hypothesis, ! [_24878] : (environment(_24878) & stable(_24878) => ? [_24900] : (in_environment(_24878, _24900) & ! [_24918] : (subpopulations(first_movers, efficient_producers, _24878, _24918) & greater_or_equal(_24918, _24900) => greater(growth_rate(efficient_producers, _24918), zero) & greater(zero, growth_rate(first_movers, _24918))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l11)).
% 0.33/1.41 fof(mp_first_movers_negative_growth, axiom, ! [_25258] : (environment(_25258) & stable(_25258) & ? [_25280] : (in_environment(_25258, _25280) & ! [_25298] : (subpopulations(first_movers, efficient_producers, _25258, _25298) & greater_or_equal(_25298, _25280) => greater(zero, growth_rate(first_movers, _25298)))) => ? [_25349] : (greater(_25349, appear(efficient_producers, _25258)) & ! [_25298] : (subpopulations(first_movers, efficient_producers, _25258, _25298) & greater_or_equal(_25298, _25349) => greater(zero, growth_rate(first_movers, _25298))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mp_first_movers_negative_growth)).
% 0.33/1.41
% 0.33/1.41 cnf(1, plain, [-(6 ^ [_8640]), greater(zero, growth_rate(first_movers, 5 ^ [_8640]))], clausify(prove_l10)).
% 0.33/1.41 cnf(2, plain, [-(6 ^ [_8640]), -(greater_or_equal(5 ^ [_8640], _8640))], clausify(prove_l10)).
% 0.33/1.41 cnf(3, plain, [-(6 ^ [_8640]), -(subpopulations(first_movers, efficient_producers, 4 ^ [], 5 ^ [_8640]))], clausify(prove_l10)).
% 0.33/1.41 cnf(4, plain, [-(environment(4 ^ []))], clausify(prove_l10)).
% 0.33/1.41 cnf(5, plain, [-(stable(4 ^ []))], clausify(prove_l10)).
% 0.33/1.41 cnf(6, plain, [greater(_8640, appear(efficient_producers, 4 ^ [])), 6 ^ [_8640]], clausify(prove_l10)).
% 0.33/1.41 cnf(7, plain, [stable(_5585), environment(_5585), -(in_environment(_5585, 3 ^ [_5585]))], clausify(l11)).
% 0.33/1.41 cnf(8, plain, [stable(_5585), environment(_5585), -(greater(zero, growth_rate(first_movers, _7613))), subpopulations(first_movers, efficient_producers, _5585, _7613), greater_or_equal(_7613, 3 ^ [_5585])], clausify(l11)).
% 0.33/1.41 cnf(9, plain, [-(greater(2 ^ [_4158], appear(efficient_producers, _4158))), environment(_4158), stable(_4158), in_environment(_4158, _4364), -(subpopulations(first_movers, efficient_producers, _4158, 1 ^ [_4364, _4158]))], clausify(mp_first_movers_negative_growth)).
% 0.33/1.41 cnf(10, plain, [-(greater(2 ^ [_4158], appear(efficient_producers, _4158))), environment(_4158), stable(_4158), in_environment(_4158, _4364), -(greater_or_equal(1 ^ [_4364, _4158], _4364))], clausify(mp_first_movers_negative_growth)).
% 0.33/1.41 cnf(11, plain, [-(greater(2 ^ [_4158], appear(efficient_producers, _4158))), environment(_4158), stable(_4158), in_environment(_4158, _4364), greater(zero, growth_rate(first_movers, 1 ^ [_4364, _4158]))], clausify(mp_first_movers_negative_growth)).
% 0.33/1.41 cnf(12, plain, [greater_or_equal(_7468, 2 ^ [_4158]), subpopulations(first_movers, efficient_producers, _4158, _7468), -(greater(zero, growth_rate(first_movers, _7468))), environment(_4158), stable(_4158), in_environment(_4158, _4364), -(subpopulations(first_movers, efficient_producers, _4158, 1 ^ [_4364, _4158]))], clausify(mp_first_movers_negative_growth)).
% 0.33/1.41 cnf(13, plain, [greater_or_equal(_7468, 2 ^ [_4158]), subpopulations(first_movers, efficient_producers, _4158, _7468), -(greater(zero, growth_rate(first_movers, _7468))), environment(_4158), stable(_4158), in_environment(_4158, _4364), -(greater_or_equal(1 ^ [_4364, _4158], _4364))], clausify(mp_first_movers_negative_growth)).
% 0.33/1.41 cnf(14, plain, [greater_or_equal(_7468, 2 ^ [_4158]), subpopulations(first_movers, efficient_producers, _4158, _7468), -(greater(zero, growth_rate(first_movers, _7468))), environment(_4158), stable(_4158), in_environment(_4158, _4364), greater(zero, growth_rate(first_movers, 1 ^ [_4364, _4158]))], clausify(mp_first_movers_negative_growth)).
% 0.33/1.41
% 0.33/1.41 cnf('1',plain,[greater(2 ^ [4 ^ []], appear(efficient_producers, 4 ^ [])), 6 ^ [2 ^ [4 ^ []]]],start(6,bind([[_8640], [2 ^ [4 ^ []]]]))).
% 0.33/1.41 cnf('1.1',plain,[-(greater(2 ^ [4 ^ []], appear(efficient_producers, 4 ^ []))), environment(4 ^ []), stable(4 ^ []), in_environment(4 ^ [], 3 ^ [4 ^ []]), -(subpopulations(first_movers, efficient_producers, 4 ^ [], 1 ^ [3 ^ [4 ^ []], 4 ^ []]))],extension(9,bind([[_4364, _4158], [3 ^ [4 ^ []], 4 ^ []]]))).
% 0.33/1.41 cnf('1.1.1',plain,[-(environment(4 ^ []))],extension(4)).
% 0.33/1.41 cnf('1.1.2',plain,[-(stable(4 ^ []))],extension(5)).
% 0.33/1.41 cnf('1.1.3',plain,[-(in_environment(4 ^ [], 3 ^ [4 ^ []])), stable(4 ^ []), environment(4 ^ [])],extension(7,bind([[_5585], [4 ^ []]]))).
% 0.33/1.41 cnf('1.1.3.1',plain,[-(stable(4 ^ []))],extension(5)).
% 0.33/1.41 cnf('1.1.3.2',plain,[-(environment(4 ^ []))],extension(4)).
% 0.33/1.41 cnf('1.1.4',plain,[subpopulations(first_movers, efficient_producers, 4 ^ [], 1 ^ [3 ^ [4 ^ []], 4 ^ []]), stable(4 ^ []), environment(4 ^ []), -(greater(zero, growth_rate(first_movers, 1 ^ [3 ^ [4 ^ []], 4 ^ []]))), greater_or_equal(1 ^ [3 ^ [4 ^ []], 4 ^ []], 3 ^ [4 ^ []])],extension(8,bind([[_7613, _5585], [1 ^ [3 ^ [4 ^ []], 4 ^ []], 4 ^ []]]))).
% 0.33/1.41 cnf('1.1.4.1',plain,[-(stable(4 ^ []))],extension(5)).
% 0.33/1.41 cnf('1.1.4.2',plain,[-(environment(4 ^ []))],extension(4)).
% 0.33/1.41 cnf('1.1.4.3',plain,[greater(zero, growth_rate(first_movers, 1 ^ [3 ^ [4 ^ []], 4 ^ []])), -(greater(2 ^ [4 ^ []], appear(efficient_producers, 4 ^ []))), environment(4 ^ []), stable(4 ^ []), in_environment(4 ^ [], 3 ^ [4 ^ []])],extension(11,bind([[_4158, _4364], [4 ^ [], 3 ^ [4 ^ []]]]))).
% 0.33/1.41 cnf('1.1.4.3.1',plain,[greater(2 ^ [4 ^ []], appear(efficient_producers, 4 ^ []))],reduction('1')).
% 0.33/1.41 cnf('1.1.4.3.2',plain,[-(environment(4 ^ []))],extension(4)).
% 0.33/1.41 cnf('1.1.4.3.3',plain,[-(stable(4 ^ []))],extension(5)).
% 0.33/1.41 cnf('1.1.4.3.4',plain,[-(in_environment(4 ^ [], 3 ^ [4 ^ []]))],lemmata('1.1')).
% 0.33/1.41 cnf('1.1.4.4',plain,[-(greater_or_equal(1 ^ [3 ^ [4 ^ []], 4 ^ []], 3 ^ [4 ^ []])), -(greater(2 ^ [4 ^ []], appear(efficient_producers, 4 ^ []))), environment(4 ^ []), stable(4 ^ []), in_environment(4 ^ [], 3 ^ [4 ^ []])],extension(10,bind([[_4158, _4364], [4 ^ [], 3 ^ [4 ^ []]]]))).
% 0.33/1.41 cnf('1.1.4.4.1',plain,[greater(2 ^ [4 ^ []], appear(efficient_producers, 4 ^ []))],reduction('1')).
% 0.33/1.41 cnf('1.1.4.4.2',plain,[-(environment(4 ^ []))],extension(4)).
% 0.33/1.41 cnf('1.1.4.4.3',plain,[-(stable(4 ^ []))],extension(5)).
% 0.33/1.41 cnf('1.1.4.4.4',plain,[-(in_environment(4 ^ [], 3 ^ [4 ^ []]))],lemmata('1.1')).
% 0.33/1.41 cnf('1.2',plain,[-(6 ^ [2 ^ [4 ^ []]]), -(greater_or_equal(5 ^ [2 ^ [4 ^ []]], 2 ^ [4 ^ []]))],extension(2,bind([[_8640], [2 ^ [4 ^ []]]]))).
% 0.33/1.41 cnf('1.2.1',plain,[greater_or_equal(5 ^ [2 ^ [4 ^ []]], 2 ^ [4 ^ []]), subpopulations(first_movers, efficient_producers, 4 ^ [], 5 ^ [2 ^ [4 ^ []]]), -(greater(zero, growth_rate(first_movers, 5 ^ [2 ^ [4 ^ []]]))), environment(4 ^ []), stable(4 ^ []), in_environment(4 ^ [], 3 ^ [4 ^ []]), -(subpopulations(first_movers, efficient_producers, 4 ^ [], 1 ^ [3 ^ [4 ^ []], 4 ^ []]))],extension(12,bind([[_7468, _4364, _4158], [5 ^ [2 ^ [4 ^ []]], 3 ^ [4 ^ []], 4 ^ []]]))).
% 0.33/1.41 cnf('1.2.1.1',plain,[-(subpopulations(first_movers, efficient_producers, 4 ^ [], 5 ^ [2 ^ [4 ^ []]])), -(6 ^ [2 ^ [4 ^ []]])],extension(3,bind([[_8640], [2 ^ [4 ^ []]]]))).
% 0.33/1.41 cnf('1.2.1.1.1',plain,[6 ^ [2 ^ [4 ^ []]]],reduction('1')).
% 0.33/1.41 cnf('1.2.1.2',plain,[greater(zero, growth_rate(first_movers, 5 ^ [2 ^ [4 ^ []]])), -(6 ^ [2 ^ [4 ^ []]])],extension(1,bind([[_8640], [2 ^ [4 ^ []]]]))).
% 0.33/1.41 cnf('1.2.1.2.1',plain,[6 ^ [2 ^ [4 ^ []]]],reduction('1')).
% 0.33/1.41 cnf('1.2.1.3',plain,[-(environment(4 ^ []))],extension(4)).
% 0.33/1.41 cnf('1.2.1.4',plain,[-(stable(4 ^ []))],extension(5)).
% 0.33/1.41 cnf('1.2.1.5',plain,[-(in_environment(4 ^ [], 3 ^ [4 ^ []])), stable(4 ^ []), environment(4 ^ [])],extension(7,bind([[_5585], [4 ^ []]]))).
% 0.33/1.41 cnf('1.2.1.5.1',plain,[-(stable(4 ^ []))],extension(5)).
% 0.33/1.41 cnf('1.2.1.5.2',plain,[-(environment(4 ^ []))],extension(4)).
% 0.33/1.41 cnf('1.2.1.6',plain,[subpopulations(first_movers, efficient_producers, 4 ^ [], 1 ^ [3 ^ [4 ^ []], 4 ^ []]), stable(4 ^ []), environment(4 ^ []), -(greater(zero, growth_rate(first_movers, 1 ^ [3 ^ [4 ^ []], 4 ^ []]))), greater_or_equal(1 ^ [3 ^ [4 ^ []], 4 ^ []], 3 ^ [4 ^ []])],extension(8,bind([[_7613, _5585], [1 ^ [3 ^ [4 ^ []], 4 ^ []], 4 ^ []]]))).
% 0.33/1.41 cnf('1.2.1.6.1',plain,[-(stable(4 ^ []))],extension(5)).
% 0.33/1.41 cnf('1.2.1.6.2',plain,[-(environment(4 ^ []))],extension(4)).
% 0.33/1.41 cnf('1.2.1.6.3',plain,[greater(zero, growth_rate(first_movers, 1 ^ [3 ^ [4 ^ []], 4 ^ []])), greater_or_equal(5 ^ [2 ^ [4 ^ []]], 2 ^ [4 ^ []]), subpopulations(first_movers, efficient_producers, 4 ^ [], 5 ^ [2 ^ [4 ^ []]]), -(greater(zero, growth_rate(first_movers, 5 ^ [2 ^ [4 ^ []]]))), environment(4 ^ []), stable(4 ^ []), in_environment(4 ^ [], 3 ^ [4 ^ []])],extension(14,bind([[_7468, _4158, _4364], [5 ^ [2 ^ [4 ^ []]], 4 ^ [], 3 ^ [4 ^ []]]]))).
% 0.33/1.41 cnf('1.2.1.6.3.1',plain,[-(greater_or_equal(5 ^ [2 ^ [4 ^ []]], 2 ^ [4 ^ []]))],reduction('1.2')).
% 0.33/1.41 cnf('1.2.1.6.3.2',plain,[-(subpopulations(first_movers, efficient_producers, 4 ^ [], 5 ^ [2 ^ [4 ^ []]]))],lemmata('1.2.1')).
% 0.33/1.41 cnf('1.2.1.6.3.3',plain,[greater(zero, growth_rate(first_movers, 5 ^ [2 ^ [4 ^ []]]))],lemmata('1.2.1')).
% 0.33/1.41 cnf('1.2.1.6.3.4',plain,[-(environment(4 ^ []))],extension(4)).
% 0.33/1.41 cnf('1.2.1.6.3.5',plain,[-(stable(4 ^ []))],extension(5)).
% 0.33/1.41 cnf('1.2.1.6.3.6',plain,[-(in_environment(4 ^ [], 3 ^ [4 ^ []]))],lemmata('1.2.1')).
% 0.33/1.41 cnf('1.2.1.6.4',plain,[-(greater_or_equal(1 ^ [3 ^ [4 ^ []], 4 ^ []], 3 ^ [4 ^ []])), greater_or_equal(5 ^ [2 ^ [4 ^ []]], 2 ^ [4 ^ []]), subpopulations(first_movers, efficient_producers, 4 ^ [], 5 ^ [2 ^ [4 ^ []]]), -(greater(zero, growth_rate(first_movers, 5 ^ [2 ^ [4 ^ []]]))), environment(4 ^ []), stable(4 ^ []), in_environment(4 ^ [], 3 ^ [4 ^ []])],extension(13,bind([[_7468, _4158, _4364], [5 ^ [2 ^ [4 ^ []]], 4 ^ [], 3 ^ [4 ^ []]]]))).
% 0.33/1.41 cnf('1.2.1.6.4.1',plain,[-(greater_or_equal(5 ^ [2 ^ [4 ^ []]], 2 ^ [4 ^ []]))],reduction('1.2')).
% 0.33/1.41 cnf('1.2.1.6.4.2',plain,[-(subpopulations(first_movers, efficient_producers, 4 ^ [], 5 ^ [2 ^ [4 ^ []]]))],lemmata('1.2.1')).
% 0.33/1.41 cnf('1.2.1.6.4.3',plain,[greater(zero, growth_rate(first_movers, 5 ^ [2 ^ [4 ^ []]]))],lemmata('1.2.1')).
% 0.33/1.41 cnf('1.2.1.6.4.4',plain,[-(environment(4 ^ []))],extension(4)).
% 0.33/1.41 cnf('1.2.1.6.4.5',plain,[-(stable(4 ^ []))],extension(5)).
% 0.33/1.41 cnf('1.2.1.6.4.6',plain,[-(in_environment(4 ^ [], 3 ^ [4 ^ []]))],lemmata('1.2.1')).
% 0.33/1.41 %-----------------------------------------------------
% 0.33/1.41
% 0.33/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------