TSTP Solution File: MGT023+1 by leanCoP---2.2
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- Process Solution
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% File : leanCoP---2.2
% Problem : MGT023+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 22:16:48 EDT 2022
% Result : Theorem 0.31s 1.41s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT023+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n018.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 09:39:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.31/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.43
% 0.31/1.43 %-----------------------------------------------------
% 0.31/1.43 fof(prove_l5, conjecture, ! [_24668] : (environment(_24668) & stable(_24668) => in_environment(_24668, critical_point(_24668))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_l5)).
% 0.31/1.43 fof(d1, hypothesis, ! [_24848, _24851] : (environment(_24848) & ~ greater(growth_rate(efficient_producers, _24851), growth_rate(first_movers, _24851)) & in_environment(_24848, _24851) & ! [_24902] : (subpopulations(first_movers, efficient_producers, _24848, _24902) & greater(_24902, _24851) => greater(growth_rate(efficient_producers, _24902), growth_rate(first_movers, _24902))) => _24851 = critical_point(_24848)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1)).
% 0.31/1.43 fof(l12, hypothesis, ! [_25271] : (environment(_25271) & stable(_25271) => ? [_25293] : (in_environment(_25271, _25293) & ~ greater(growth_rate(efficient_producers, _25293), growth_rate(first_movers, _25293)) & ! [_25337] : (subpopulations(first_movers, efficient_producers, _25271, _25337) & greater(_25337, _25293) => greater(growth_rate(efficient_producers, _25337), growth_rate(first_movers, _25337))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', l12)).
% 0.31/1.43
% 0.31/1.43 cnf(1, plain, [-(environment(3 ^ []))], clausify(prove_l5)).
% 0.31/1.43 cnf(2, plain, [-(stable(3 ^ []))], clausify(prove_l5)).
% 0.31/1.43 cnf(3, plain, [in_environment(3 ^ [], critical_point(3 ^ []))], clausify(prove_l5)).
% 0.31/1.43 cnf(4, plain, [-(_10723 = critical_point(_10626)), environment(_10626), -(greater(growth_rate(efficient_producers, _10723), growth_rate(first_movers, _10723))), in_environment(_10626, _10723), -(subpopulations(first_movers, efficient_producers, _10626, 1 ^ [_10723, _10626]))], clausify(d1)).
% 0.31/1.43 cnf(5, plain, [-(_10723 = critical_point(_10626)), environment(_10626), -(greater(growth_rate(efficient_producers, _10723), growth_rate(first_movers, _10723))), in_environment(_10626, _10723), -(greater(1 ^ [_10723, _10626], _10723))], clausify(d1)).
% 0.31/1.43 cnf(6, plain, [-(_10723 = critical_point(_10626)), environment(_10626), -(greater(growth_rate(efficient_producers, _10723), growth_rate(first_movers, _10723))), in_environment(_10626, _10723), greater(growth_rate(efficient_producers, 1 ^ [_10723, _10626]), growth_rate(first_movers, 1 ^ [_10723, _10626]))], clausify(d1)).
% 0.31/1.43 cnf(7, plain, [stable(_11708), environment(_11708), -(in_environment(_11708, 2 ^ [_11708]))], clausify(l12)).
% 0.31/1.43 cnf(8, plain, [stable(_11708), environment(_11708), greater(growth_rate(efficient_producers, 2 ^ [_11708]), growth_rate(first_movers, 2 ^ [_11708]))], clausify(l12)).
% 0.31/1.43 cnf(9, plain, [stable(_11708), environment(_11708), -(greater(growth_rate(efficient_producers, _14067), growth_rate(first_movers, _14067))), subpopulations(first_movers, efficient_producers, _11708, _14067), greater(_14067, 2 ^ [_11708])], clausify(l12)).
% 0.31/1.43 cnf(10, plain, [-(_5259 = _5259)], theory(equality)).
% 0.31/1.43 cnf(11, plain, [-(in_environment(_7187, _7318)), in_environment(_7120, _7253), _7120 = _7187, _7253 = _7318], theory(equality)).
% 0.31/1.43
% 0.31/1.43 cnf('1',plain,[stable(3 ^ []), environment(3 ^ []), greater(growth_rate(efficient_producers, 2 ^ [3 ^ []]), growth_rate(first_movers, 2 ^ [3 ^ []]))],start(8,bind([[_11708], [3 ^ []]]))).
% 0.31/1.43 cnf('1.1',plain,[-(stable(3 ^ []))],extension(2)).
% 0.31/1.43 cnf('1.2',plain,[-(environment(3 ^ []))],extension(1)).
% 0.31/1.43 cnf('1.3',plain,[-(greater(growth_rate(efficient_producers, 2 ^ [3 ^ []]), growth_rate(first_movers, 2 ^ [3 ^ []]))), -(2 ^ [3 ^ []] = critical_point(3 ^ [])), environment(3 ^ []), in_environment(3 ^ [], 2 ^ [3 ^ []]), -(subpopulations(first_movers, efficient_producers, 3 ^ [], 1 ^ [2 ^ [3 ^ []], 3 ^ []]))],extension(4,bind([[_10723, _10626], [2 ^ [3 ^ []], 3 ^ []]]))).
% 0.31/1.43 cnf('1.3.1',plain,[2 ^ [3 ^ []] = critical_point(3 ^ []), -(in_environment(3 ^ [], critical_point(3 ^ []))), in_environment(3 ^ [], 2 ^ [3 ^ []]), 3 ^ [] = 3 ^ []],extension(11,bind([[_7318, _7253, _7120, _7187], [critical_point(3 ^ []), 2 ^ [3 ^ []], 3 ^ [], 3 ^ []]]))).
% 0.31/1.43 cnf('1.3.1.1',plain,[in_environment(3 ^ [], critical_point(3 ^ []))],extension(3)).
% 0.31/1.43 cnf('1.3.1.2',plain,[-(in_environment(3 ^ [], 2 ^ [3 ^ []])), stable(3 ^ []), environment(3 ^ [])],extension(7,bind([[_11708], [3 ^ []]]))).
% 0.31/1.43 cnf('1.3.1.2.1',plain,[-(stable(3 ^ []))],extension(2)).
% 0.31/1.43 cnf('1.3.1.2.2',plain,[-(environment(3 ^ []))],extension(1)).
% 0.31/1.43 cnf('1.3.1.3',plain,[-(3 ^ [] = 3 ^ [])],extension(10,bind([[_5259], [3 ^ []]]))).
% 0.31/1.43 cnf('1.3.2',plain,[-(environment(3 ^ []))],extension(1)).
% 0.31/1.43 cnf('1.3.3',plain,[-(in_environment(3 ^ [], 2 ^ [3 ^ []])), stable(3 ^ []), environment(3 ^ [])],extension(7,bind([[_11708], [3 ^ []]]))).
% 0.31/1.43 cnf('1.3.3.1',plain,[-(stable(3 ^ []))],extension(2)).
% 0.31/1.43 cnf('1.3.3.2',plain,[-(environment(3 ^ []))],extension(1)).
% 0.31/1.43 cnf('1.3.4',plain,[subpopulations(first_movers, efficient_producers, 3 ^ [], 1 ^ [2 ^ [3 ^ []], 3 ^ []]), stable(3 ^ []), environment(3 ^ []), -(greater(growth_rate(efficient_producers, 1 ^ [2 ^ [3 ^ []], 3 ^ []]), growth_rate(first_movers, 1 ^ [2 ^ [3 ^ []], 3 ^ []]))), greater(1 ^ [2 ^ [3 ^ []], 3 ^ []], 2 ^ [3 ^ []])],extension(9,bind([[_14067, _11708], [1 ^ [2 ^ [3 ^ []], 3 ^ []], 3 ^ []]]))).
% 0.31/1.43 cnf('1.3.4.1',plain,[-(stable(3 ^ []))],extension(2)).
% 0.31/1.43 cnf('1.3.4.2',plain,[-(environment(3 ^ []))],extension(1)).
% 0.31/1.43 cnf('1.3.4.3',plain,[greater(growth_rate(efficient_producers, 1 ^ [2 ^ [3 ^ []], 3 ^ []]), growth_rate(first_movers, 1 ^ [2 ^ [3 ^ []], 3 ^ []])), -(2 ^ [3 ^ []] = critical_point(3 ^ [])), environment(3 ^ []), -(greater(growth_rate(efficient_producers, 2 ^ [3 ^ []]), growth_rate(first_movers, 2 ^ [3 ^ []]))), in_environment(3 ^ [], 2 ^ [3 ^ []])],extension(6,bind([[_10626, _10723], [3 ^ [], 2 ^ [3 ^ []]]]))).
% 0.31/1.43 cnf('1.3.4.3.1',plain,[2 ^ [3 ^ []] = critical_point(3 ^ [])],lemmata('1.3')).
% 0.31/1.43 cnf('1.3.4.3.2',plain,[-(environment(3 ^ []))],extension(1)).
% 0.31/1.43 cnf('1.3.4.3.3',plain,[greater(growth_rate(efficient_producers, 2 ^ [3 ^ []]), growth_rate(first_movers, 2 ^ [3 ^ []]))],reduction('1')).
% 0.31/1.43 cnf('1.3.4.3.4',plain,[-(in_environment(3 ^ [], 2 ^ [3 ^ []]))],lemmata('1.3')).
% 0.31/1.43 cnf('1.3.4.4',plain,[-(greater(1 ^ [2 ^ [3 ^ []], 3 ^ []], 2 ^ [3 ^ []])), -(2 ^ [3 ^ []] = critical_point(3 ^ [])), environment(3 ^ []), -(greater(growth_rate(efficient_producers, 2 ^ [3 ^ []]), growth_rate(first_movers, 2 ^ [3 ^ []]))), in_environment(3 ^ [], 2 ^ [3 ^ []])],extension(5,bind([[_10626, _10723], [3 ^ [], 2 ^ [3 ^ []]]]))).
% 0.31/1.43 cnf('1.3.4.4.1',plain,[2 ^ [3 ^ []] = critical_point(3 ^ [])],lemmata('1.3')).
% 0.31/1.43 cnf('1.3.4.4.2',plain,[-(environment(3 ^ []))],extension(1)).
% 0.31/1.43 cnf('1.3.4.4.3',plain,[greater(growth_rate(efficient_producers, 2 ^ [3 ^ []]), growth_rate(first_movers, 2 ^ [3 ^ []]))],reduction('1')).
% 0.31/1.43 cnf('1.3.4.4.4',plain,[-(in_environment(3 ^ [], 2 ^ [3 ^ []]))],lemmata('1.3')).
% 0.31/1.43 %-----------------------------------------------------
% 0.31/1.43
% 0.31/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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