%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : MGT027+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n003.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 11:35:38 EDT 2023

% Result   : Theorem 184.80s 179.12s
% Output   : Proof 184.80s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : MGT027+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n003.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 : Thu May 18 23:44:45 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 184.80/179.12  
% 184.80/179.12  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 184.80/179.12  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 184.80/179.12  %-----------------------------------------------------
% 184.80/179.12  ncf(matrix, plain, [(285 ^ _58941) ^ [_59108] : [greater(_59108, appear(efficient_producers, 279 ^ [])), contracts_from(_59108, first_movers)], (283 ^ _58941) ^ [] : [-(stable(279 ^ []))], (281 ^ _58941) ^ [] : [-(environment(279 ^ []))], !, (4 ^ _49973) ^ [_50204, _50206] : [_50206 = _50204, -(_50204 = _50206)], (2 ^ _49973) ^ [_50097] : [-(_50097 = _50097)], (148 ^ _49973) ^ [_54942, _54944] : [-(contracts_from(_54942, first_movers)), environment(_54944), stable(_54944), in_environment(_54944, _54942), 162 ^ _49973 : [(167 ^ _49973) ^ [] : [greater(zero, growth_rate(first_movers, 161 ^ [_54942, _54944]))], (165 ^ _49973) ^ [] : [-(greater_or_equal(161 ^ [_54942, _54944], _54942))], (163 ^ _49973) ^ [] : [-(greater(cardinality_at_time(first_movers, 161 ^ [_54942, _54944]), zero))]]], (217 ^ _49973) ^ [_56954, _56956, _56958] : [-(greater(_56958, _56954)), greater(_56958, _56956), greater(_56956, _56954)], (104 ^ _49973) ^ [_53441, _53443, _53445, _53447] : [-(contracts_from(_53445, _53441)), contracts_from(_53447, _53443), _53447 = _53445, _53443 = _53441], (10 ^ _49973) ^ [_50408, _50410, _50412] : [-(_50412 = _50408), _50412 = _50410, _50410 = _50408], (70 ^ _49973) ^ [_52399, _52401] : [-(environment(_52399)), _52401 = _52399, environment(_52401)], (80 ^ _49973) ^ [_52694, _52696] : [-(stable(_52694)), _52696 = _52694, stable(_52696)], (90 ^ _49973) ^ [_53017, _53019, _53021, _53023] : [-(greater(_53021, _53017)), greater(_53023, _53019), _53023 = _53021, _53019 = _53017], (128 ^ _49973) ^ [_54262, _54264, _54266, _54268] : [-(growth_rate(_54268, _54264) = growth_rate(_54266, _54262)), _54268 = _54266, _54264 = _54262], (207 ^ _49973) ^ [_56649] : [-(in_environment(_56649, appear(efficient_producers, _56649))), environment(_56649), stable(_56649)], (20 ^ _49973) ^ [_50749, _50751, _50753, _50755] : [-(in_environment(_50753, _50749)), in_environment(_50755, _50751), _50755 = _50753, _50751 = _50749], (245 ^ _49973) ^ [_57830, _57832] : [-(greater(cardinality_at_time(efficient_producers, _57830), zero)), environment(_57832), in_environment(_57832, _57830), greater_or_equal(_57830, appear(efficient_producers, _57832))], (259 ^ _49973) ^ [_58194] : [environment(_58194), stable(_58194), 267 ^ _49973 : [(268 ^ _49973) ^ [] : [-(greater(266 ^ [_58194], appear(efficient_producers, _58194)))], (270 ^ _49973) ^ [_58577] : [-(greater(zero, growth_rate(first_movers, _58577))), subpopulations(first_movers, efficient_producers, _58194, _58577), greater_or_equal(_58577, 266 ^ [_58194])]]], (171 ^ _49973) ^ [_55667, _55669] : [-(subpopulations(first_movers, efficient_producers, _55669, _55667)), environment(_55669), in_environment(_55669, _55667), greater(cardinality_at_time(first_movers, _55667), zero), greater(cardinality_at_time(efficient_producers, _55667), zero)], (227 ^ _49973) ^ [_57292, _57294] : [greater_or_equal(_57294, _57292), -(greater(_57294, _57292)), -(_57294 = _57292)], (34 ^ _49973) ^ [_51249, _51251, _51253, _51255, _51257, _51259, _51261, _51263] : [-(subpopulations(_51261, _51257, _51253, _51249)), subpopulations(_51263, _51259, _51255, _51251), _51263 = _51261, _51259 = _51257, _51255 = _51253, _51251 = _51249], (189 ^ _49973) ^ [_56172, _56174, _56176] : [-(in_environment(_56176, _56172)), environment(_56176), stable(_56176), in_environment(_56176, _56174), greater(_56172, _56174)], (118 ^ _49973) ^ [_53903, _53905, _53907, _53909] : [-(cardinality_at_time(_53909, _53905) = cardinality_at_time(_53907, _53903)), _53909 = _53907, _53905 = _53903], (237 ^ _49973) ^ [_57544, _57546] : [238 ^ _49973 : [(239 ^ _49973) ^ [] : [greater(_57546, _57544)], (241 ^ _49973) ^ [] : [_57546 = _57544]], -(greater_or_equal(_57546, _57544))], (138 ^ _49973) ^ [_54601, _54603, _54605, _54607] : [-(appear(_54607, _54603) = appear(_54605, _54601)), _54607 = _54605, _54603 = _54601], (56 ^ _49973) ^ [_51983, _51985, _51987, _51989] : [-(greater_or_equal(_51987, _51983)), greater_or_equal(_51989, _51985), _51989 = _51987, _51985 = _51983]], input).
% 184.80/179.12  ncf('1',plain,[greater(266 ^ [279 ^ []], appear(efficient_producers, 279 ^ [])), contracts_from(266 ^ [279 ^ []], first_movers)],start(285 ^ 0,bind([[_59108], [266 ^ [279 ^ []]]]))).
% 184.80/179.12  ncf('1.1',plain,[-(greater(266 ^ [279 ^ []], appear(efficient_producers, 279 ^ []))), environment(279 ^ []), stable(279 ^ [])],extension(259 ^ 1,bind([[_58194], [279 ^ []]]))).
% 184.80/179.12  ncf('1.1.1',plain,[-(environment(279 ^ []))],extension(281 ^ 2)).
% 184.80/179.12  ncf('1.1.2',plain,[-(stable(279 ^ []))],extension(283 ^ 2)).
% 184.80/179.12  ncf('1.2',plain,[-(contracts_from(266 ^ [279 ^ []], first_movers)), environment(279 ^ []), stable(279 ^ []), in_environment(279 ^ [], 266 ^ [279 ^ []]), 165 : -(greater_or_equal(161 ^ [266 ^ [279 ^ []], 279 ^ []], 266 ^ [279 ^ []]))],extension(148 ^ 1,bind([[_54942, _54944], [266 ^ [279 ^ []], 279 ^ []]]))).
% 184.80/179.12  ncf('1.2.1',plain,[-(environment(279 ^ []))],extension(281 ^ 2)).
% 184.80/179.12  ncf('1.2.2',plain,[-(stable(279 ^ []))],extension(283 ^ 2)).
% 184.80/179.12  ncf('1.2.3',plain,[-(in_environment(279 ^ [], 266 ^ [279 ^ []])), in_environment(279 ^ [], appear(efficient_producers, 279 ^ [])), 279 ^ [] = 279 ^ [], appear(efficient_producers, 279 ^ []) = 266 ^ [279 ^ []]],extension(20 ^ 2,bind([[_50749, _50751, _50753, _50755], [266 ^ [279 ^ []], appear(efficient_producers, 279 ^ []), 279 ^ [], 279 ^ []]]))).
% 184.80/179.12  ncf('1.2.3.1',plain,[-(in_environment(279 ^ [], appear(efficient_producers, 279 ^ []))), environment(279 ^ []), stable(279 ^ [])],extension(207 ^ 3,bind([[_56649], [279 ^ []]]))).
% 184.80/179.12  ncf('1.2.3.1.1',plain,[-(environment(279 ^ []))],extension(281 ^ 4)).
% 184.80/179.12  ncf('1.2.3.1.2',plain,[-(stable(279 ^ []))],lemmata('[1].x')).
% 184.80/179.12  ncf('1.2.3.2',plain,[-(279 ^ [] = 279 ^ [])],extension(2 ^ 3,bind([[_50097], [279 ^ []]]))).
% 184.80/179.12  ncf('1.2.3.3',plain,[-(appear(efficient_producers, 279 ^ []) = 266 ^ [279 ^ []]), 266 ^ [279 ^ []] = appear(efficient_producers, 279 ^ [])],extension(4 ^ 3,bind([[_50204, _50206], [appear(efficient_producers, 279 ^ []), 266 ^ [279 ^ []]]]))).
% 184.80/179.12  ncf('1.2.3.3.1',plain,[-(266 ^ [279 ^ []] = appear(efficient_producers, 279 ^ [])), greater_or_equal(266 ^ [279 ^ []], appear(efficient_producers, 279 ^ [])), -(greater(266 ^ [279 ^ []], appear(efficient_producers, 279 ^ [])))],extension(227 ^ 4,bind([[_57292, _57294], [appear(efficient_producers, 279 ^ []), 266 ^ [279 ^ []]]]))).
% 184.80/179.12  ncf('1.2.3.3.1.1',plain,[-(greater_or_equal(266 ^ [279 ^ []], appear(efficient_producers, 279 ^ []))), 239 : greater(266 ^ [279 ^ []], appear(efficient_producers, 279 ^ []))],extension(237 ^ 5,bind([[_57544, _57546], [appear(efficient_producers, 279 ^ []), 266 ^ [279 ^ []]]]))).
% 184.80/179.12  ncf('1.2.3.3.1.1.1',plain,[-(greater(266 ^ [279 ^ []], appear(efficient_producers, 279 ^ [])))],lemmata('x')).
% 184.80/179.12  ncf('1.2.3.3.1.2',plain,[greater(266 ^ [279 ^ []], appear(efficient_producers, 279 ^ [])), -(in_environment(279 ^ [], 266 ^ [279 ^ []])), environment(279 ^ []), stable(279 ^ []), in_environment(279 ^ [], appear(efficient_producers, 279 ^ []))],extension(189 ^ 5,bind([[_56172, _56174, _56176], [266 ^ [279 ^ []], appear(efficient_producers, 279 ^ []), 279 ^ []]]))).
% 184.80/179.12  ncf('1.2.3.3.1.2.1',plain,[in_environment(279 ^ [], 266 ^ [279 ^ []])],reduction('1.2')).
% 184.80/179.12  ncf('1.2.3.3.1.2.2',plain,[-(environment(279 ^ []))],lemmata('[1].x')).
% 184.80/179.12  ncf('1.2.3.3.1.2.3',plain,[-(stable(279 ^ []))],lemmata('[1].x')).
% 184.80/179.12  ncf('1.2.3.3.1.2.4',plain,[-(in_environment(279 ^ [], appear(efficient_producers, 279 ^ [])))],lemmata('[2, 1].x')).
% 184.80/179.12  ncf('1.2.4',plain,[greater_or_equal(161 ^ [266 ^ [279 ^ []], 279 ^ []], 266 ^ [279 ^ []]), -(greater(161 ^ [266 ^ [279 ^ []], 279 ^ []], 266 ^ [279 ^ []])), -(161 ^ [266 ^ [279 ^ []], 279 ^ []] = 266 ^ [279 ^ []])],extension(227 ^ 4,bind([[_57292, _57294], [266 ^ [279 ^ []], 161 ^ [266 ^ [279 ^ []], 279 ^ []]]]))).
% 184.80/179.12  ncf('1.2.4.1',plain,[greater(161 ^ [266 ^ [279 ^ []], 279 ^ []], 266 ^ [279 ^ []]), -(in_environment(279 ^ [], 161 ^ [266 ^ [279 ^ []], 279 ^ []])), environment(279 ^ []), stable(279 ^ []), in_environment(279 ^ [], 266 ^ [279 ^ []])],extension(189 ^ 5,bind([[_56172, _56174, _56176], [161 ^ [266 ^ [279 ^ []], 279 ^ []], 266 ^ [279 ^ []], 279 ^ []]]))).
% 184.80/179.12  ncf('1.2.4.1.1',plain,[in_environment(279 ^ [], 161 ^ [266 ^ [279 ^ []], 279 ^ []]), -(in_environment(279 ^ [], 161 ^ [266 ^ [279 ^ []], 279 ^ []])), 279 ^ [] = 279 ^ [], 161 ^ [266 ^ [279 ^ []], 279 ^ []] = 161 ^ [266 ^ [279 ^ []], 279 ^ []]],extension(20 ^ 6,bind([[_50749, _50751, _50753, _50755], [161 ^ [266 ^ [279 ^ []], 279 ^ []], 161 ^ [266 ^ [279 ^ []], 279 ^ []], 279 ^ [], 279 ^ []]]))).
% 184.80/179.12  ncf('1.2.4.1.1.1',plain,[in_environment(279 ^ [], 161 ^ [266 ^ [279 ^ []], 279 ^ []]), -(greater(cardinality_at_time(efficient_producers, 161 ^ [266 ^ [279 ^ []], 279 ^ []]), zero)), environment(279 ^ []), greater_or_equal(161 ^ [266 ^ [279 ^ []], 279 ^ []], appear(efficient_producers, 279 ^ []))],extension(245 ^ 7,bind([[_57830, _57832], [161 ^ [266 ^ [279 ^ []], 279 ^ []], 279 ^ []]]))).
% 184.80/179.12  ncf('1.2.4.1.1.1.1',plain,[greater(cardinality_at_time(efficient_producers, 161 ^ [266 ^ [279 ^ []], 279 ^ []]), zero), -(subpopulations(first_movers, efficient_producers, 279 ^ [], 161 ^ [266 ^ [279 ^ []], 279 ^ []])), environment(279 ^ []), in_environment(279 ^ [], 161 ^ [266 ^ [279 ^ []], 279 ^ []]), greater(cardinality_at_time(first_movers, 161 ^ [266 ^ [279 ^ []], 279 ^ []]), zero)],extension(171 ^ 8,bind([[_55667, _55669], [161 ^ [266 ^ [279 ^ []], 279 ^ []], 279 ^ []]]))).
% 184.80/179.12  ncf('1.2.4.1.1.1.1.1',plain,[subpopulations(first_movers, efficient_producers, 279 ^ [], 161 ^ [266 ^ [279 ^ []], 279 ^ []]), 270 : -(greater(zero, growth_rate(first_movers, 161 ^ [266 ^ [279 ^ []], 279 ^ []]))), 270 : greater_or_equal(161 ^ [266 ^ [279 ^ []], 279 ^ []], 266 ^ [279 ^ []]), 270 : environment(279 ^ []), 270 : stable(279 ^ [])],extension(259 ^ 9,bind([[_58194, _58577], [279 ^ [], 161 ^ [266 ^ [279 ^ []], 279 ^ []]]]))).
% 184.80/179.12  ncf('1.2.4.1.1.1.1.1.1',plain,[greater(zero, growth_rate(first_movers, 161 ^ [266 ^ [279 ^ []], 279 ^ []]))],extension(167 ^ 12)).
% 184.80/179.12  ncf('1.2.4.1.1.1.1.1.2',plain,[-(greater_or_equal(161 ^ [266 ^ [279 ^ []], 279 ^ []], 266 ^ [279 ^ []]))],reduction('1.2')).
% 184.80/179.12  ncf('1.2.4.1.1.1.1.1.3',plain,[-(environment(279 ^ []))],lemmata('[1].x')).
% 184.80/179.12  ncf('1.2.4.1.1.1.1.1.4',plain,[-(stable(279 ^ []))],lemmata('[1].x')).
% 184.80/179.12  ncf('1.2.4.1.1.1.1.2',plain,[-(environment(279 ^ []))],lemmata('[1].x')).
% 184.80/179.12  ncf('1.2.4.1.1.1.1.3',plain,[-(in_environment(279 ^ [], 161 ^ [266 ^ [279 ^ []], 279 ^ []]))],reduction('1.2.4.1.1')).
% 184.80/179.12  ncf('1.2.4.1.1.1.1.4',plain,[-(greater(cardinality_at_time(first_movers, 161 ^ [266 ^ [279 ^ []], 279 ^ []]), zero))],extension(163 ^ 9)).
% 184.80/179.12  ncf('1.2.4.1.1.1.2',plain,[-(environment(279 ^ []))],lemmata('[1].x')).
% 184.80/179.12  ncf('1.2.4.1.1.1.3',plain,[-(greater_or_equal(161 ^ [266 ^ [279 ^ []], 279 ^ []], appear(efficient_producers, 279 ^ []))), 239 : greater(161 ^ [266 ^ [279 ^ []], 279 ^ []], appear(efficient_producers, 279 ^ []))],extension(237 ^ 8,bind([[_57544, _57546], [appear(efficient_producers, 279 ^ []), 161 ^ [266 ^ [279 ^ []], 279 ^ []]]]))).
% 184.80/179.12  ncf('1.2.4.1.1.1.3.1',plain,[-(greater(161 ^ [266 ^ [279 ^ []], 279 ^ []], appear(efficient_producers, 279 ^ []))), greater(161 ^ [266 ^ [279 ^ []], 279 ^ []], 266 ^ [279 ^ []]), greater(266 ^ [279 ^ []], appear(efficient_producers, 279 ^ []))],extension(217 ^ 11,bind([[_56954, _56956, _56958], [appear(efficient_producers, 279 ^ []), 266 ^ [279 ^ []], 161 ^ [266 ^ [279 ^ []], 279 ^ []]]]))).
% 184.80/179.12  ncf('1.2.4.1.1.1.3.1.1',plain,[-(greater(161 ^ [266 ^ [279 ^ []], 279 ^ []], 266 ^ [279 ^ []]))],reduction('1.2.4')).
% 184.80/179.12  ncf('1.2.4.1.1.1.3.1.2',plain,[-(greater(266 ^ [279 ^ []], appear(efficient_producers, 279 ^ [])))],lemmata('x')).
% 184.80/179.12  ncf('1.2.4.1.1.2',plain,[-(279 ^ [] = 279 ^ []), 279 ^ [] = 279 ^ []],extension(4 ^ 7,bind([[_50204, _50206], [279 ^ [], 279 ^ []]]))).
% 184.80/179.12  ncf('1.2.4.1.1.2.1',plain,[-(279 ^ [] = 279 ^ [])],extension(2 ^ 8,bind([[_50097], [279 ^ []]]))).
% 184.80/179.12  ncf('1.2.4.1.1.3',plain,[-(161 ^ [266 ^ [279 ^ []], 279 ^ []] = 161 ^ [266 ^ [279 ^ []], 279 ^ []])],extension(2 ^ 7,bind([[_50097], [161 ^ [266 ^ [279 ^ []], 279 ^ []]]]))).
% 184.80/179.12  ncf('1.2.4.1.2',plain,[-(environment(279 ^ []))],lemmata('[1].x')).
% 184.80/179.12  ncf('1.2.4.1.3',plain,[-(stable(279 ^ []))],lemmata('[1].x')).
% 184.80/179.12  ncf('1.2.4.1.4',plain,[-(in_environment(279 ^ [], 266 ^ [279 ^ []]))],lemmata('[1].x')).
% 184.80/179.12  ncf('1.2.4.2',plain,[161 ^ [266 ^ [279 ^ []], 279 ^ []] = 266 ^ [279 ^ []], -(266 ^ [279 ^ []] = 161 ^ [266 ^ [279 ^ []], 279 ^ []])],extension(4 ^ 5,bind([[_50204, _50206], [266 ^ [279 ^ []], 161 ^ [266 ^ [279 ^ []], 279 ^ []]]]))).
% 184.80/179.12  ncf('1.2.4.2.1',plain,[266 ^ [279 ^ []] = 161 ^ [266 ^ [279 ^ []], 279 ^ []], -(greater(161 ^ [266 ^ [279 ^ []], 279 ^ []], appear(efficient_producers, 279 ^ []))), greater(266 ^ [279 ^ []], appear(efficient_producers, 279 ^ [])), appear(efficient_producers, 279 ^ []) = appear(efficient_producers, 279 ^ [])],extension(90 ^ 6,bind([[_53017, _53019, _53021, _53023], [appear(efficient_producers, 279 ^ []), appear(efficient_producers, 279 ^ []), 161 ^ [266 ^ [279 ^ []], 279 ^ []], 266 ^ [279 ^ []]]]))).
% 184.80/179.12  ncf('1.2.4.2.1.1',plain,[greater(161 ^ [266 ^ [279 ^ []], 279 ^ []], appear(efficient_producers, 279 ^ [])), -(in_environment(279 ^ [], 161 ^ [266 ^ [279 ^ []], 279 ^ []])), environment(279 ^ []), stable(279 ^ []), in_environment(279 ^ [], appear(efficient_producers, 279 ^ []))],extension(189 ^ 7,bind([[_56172, _56174, _56176], [161 ^ [266 ^ [279 ^ []], 279 ^ []], appear(efficient_producers, 279 ^ []), 279 ^ []]]))).
% 184.80/179.12  ncf('1.2.4.2.1.1.1',plain,[in_environment(279 ^ [], 161 ^ [266 ^ [279 ^ []], 279 ^ []]), -(subpopulations(first_movers, efficient_producers, 279 ^ [], 161 ^ [266 ^ [279 ^ []], 279 ^ []])), environment(279 ^ []), greater(cardinality_at_time(first_movers, 161 ^ [266 ^ [279 ^ []], 279 ^ []]), zero), greater(cardinality_at_time(efficient_producers, 161 ^ [266 ^ [279 ^ []], 279 ^ []]), zero)],extension(171 ^ 8,bind([[_55667, _55669], [161 ^ [266 ^ [279 ^ []], 279 ^ []], 279 ^ []]]))).
% 184.80/179.12  ncf('1.2.4.2.1.1.1.1',plain,[subpopulations(first_movers, efficient_producers, 279 ^ [], 161 ^ [266 ^ [279 ^ []], 279 ^ []]), 270 : -(greater(zero, growth_rate(first_movers, 161 ^ [266 ^ [279 ^ []], 279 ^ []]))), 270 : greater_or_equal(161 ^ [266 ^ [279 ^ []], 279 ^ []], 266 ^ [279 ^ []]), 270 : environment(279 ^ []), 270 : stable(279 ^ [])],extension(259 ^ 9,bind([[_58194, _58577], [279 ^ [], 161 ^ [266 ^ [279 ^ []], 279 ^ []]]]))).
% 184.80/179.12  ncf('1.2.4.2.1.1.1.1.1',plain,[greater(zero, growth_rate(first_movers, 161 ^ [266 ^ [279 ^ []], 279 ^ []]))],extension(167 ^ 12)).
% 184.80/179.12  ncf('1.2.4.2.1.1.1.1.2',plain,[-(greater_or_equal(161 ^ [266 ^ [279 ^ []], 279 ^ []], 266 ^ [279 ^ []]))],reduction('1.2')).
% 184.80/179.12  ncf('1.2.4.2.1.1.1.1.3',plain,[-(environment(279 ^ []))],lemmata('[1].x')).
% 184.80/179.12  ncf('1.2.4.2.1.1.1.1.4',plain,[-(stable(279 ^ []))],lemmata('[1].x')).
% 184.80/179.12  ncf('1.2.4.2.1.1.1.2',plain,[-(environment(279 ^ []))],lemmata('[1].x')).
% 184.80/179.12  ncf('1.2.4.2.1.1.1.3',plain,[-(greater(cardinality_at_time(first_movers, 161 ^ [266 ^ [279 ^ []], 279 ^ []]), zero))],extension(163 ^ 9)).
% 184.80/179.12  ncf('1.2.4.2.1.1.1.4',plain,[-(greater(cardinality_at_time(efficient_producers, 161 ^ [266 ^ [279 ^ []], 279 ^ []]), zero)), environment(279 ^ []), in_environment(279 ^ [], 161 ^ [266 ^ [279 ^ []], 279 ^ []]), greater_or_equal(161 ^ [266 ^ [279 ^ []], 279 ^ []], appear(efficient_producers, 279 ^ []))],extension(245 ^ 9,bind([[_57830, _57832], [161 ^ [266 ^ [279 ^ []], 279 ^ []], 279 ^ []]]))).
% 184.80/179.12  ncf('1.2.4.2.1.1.1.4.1',plain,[-(environment(279 ^ []))],extension(281 ^ 10)).
% 184.80/179.12  ncf('1.2.4.2.1.1.1.4.2',plain,[-(in_environment(279 ^ [], 161 ^ [266 ^ [279 ^ []], 279 ^ []]))],reduction('1.2.4.2.1.1')).
% 184.80/179.12  ncf('1.2.4.2.1.1.1.4.3',plain,[-(greater_or_equal(161 ^ [266 ^ [279 ^ []], 279 ^ []], appear(efficient_producers, 279 ^ []))), 239 : greater(161 ^ [266 ^ [279 ^ []], 279 ^ []], appear(efficient_producers, 279 ^ []))],extension(237 ^ 10,bind([[_57544, _57546], [appear(efficient_producers, 279 ^ []), 161 ^ [266 ^ [279 ^ []], 279 ^ []]]]))).
% 184.80/179.12  ncf('1.2.4.2.1.1.1.4.3.1',plain,[-(greater(161 ^ [266 ^ [279 ^ []], 279 ^ []], appear(efficient_producers, 279 ^ [])))],reduction('1.2.4.2.1')).
% 184.80/179.12  ncf('1.2.4.2.1.1.2',plain,[-(environment(279 ^ []))],lemmata('[1].x')).
% 184.80/179.12  ncf('1.2.4.2.1.1.3',plain,[-(stable(279 ^ []))],lemmata('[1].x')).
% 184.80/179.12  ncf('1.2.4.2.1.1.4',plain,[-(in_environment(279 ^ [], appear(efficient_producers, 279 ^ []))), environment(279 ^ []), stable(279 ^ [])],extension(207 ^ 8,bind([[_56649], [279 ^ []]]))).
% 184.80/179.12  ncf('1.2.4.2.1.1.4.1',plain,[-(environment(279 ^ []))],lemmata('[1, 2, 4, 2, 1].x')).
% 184.80/179.12  ncf('1.2.4.2.1.1.4.2',plain,[-(stable(279 ^ []))],lemmata('[1, 2, 4, 2, 1].x')).
% 184.80/179.12  ncf('1.2.4.2.1.2',plain,[-(greater(266 ^ [279 ^ []], appear(efficient_producers, 279 ^ []))), environment(279 ^ []), stable(279 ^ [])],extension(259 ^ 7,bind([[_58194], [279 ^ []]]))).
% 184.80/179.12  ncf('1.2.4.2.1.2.1',plain,[-(environment(279 ^ []))],lemmata('[1].x')).
% 184.80/179.12  ncf('1.2.4.2.1.2.2',plain,[-(stable(279 ^ []))],lemmata('[1].x')).
% 184.80/179.12  ncf('1.2.4.2.1.3',plain,[-(appear(efficient_producers, 279 ^ []) = appear(efficient_producers, 279 ^ []))],extension(2 ^ 7,bind([[_50097], [appear(efficient_producers, 279 ^ [])]]))).
% 184.80/179.12  %-----------------------------------------------------
% 184.80/179.12  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------