%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : MGT026+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n029.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 11:35:37 EDT 2023

% Result   : Theorem 0.63s 1.37s
% Output   : Proof 0.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : MGT026+1 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n029.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 23:57:58 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.63/1.37  
% 0.63/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.63/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/1.37  %-----------------------------------------------------
% 0.63/1.37  ncf(matrix, plain, [(312 ^ _52001) ^ [] : [-(environment(309 ^ []))], (314 ^ _52001) ^ [] : [-(in_environment(309 ^ [], 310 ^ []))], (316 ^ _52001) ^ [] : [-(greater(310 ^ [], critical_point(309 ^ [])))], (318 ^ _52001) ^ [] : [selection_favors(efficient_producers, first_movers, 310 ^ [])], (166 ^ _52001) ^ [_57719, _57721, _57723, _57725] : [-(selection_favors(_57721, _57723, _57719)), environment(_57725), subpopulations(_57723, _57721, _57725, _57719), greater(growth_rate(_57721, _57719), growth_rate(_57723, _57719))], (180 ^ _52001) ^ [_58179, _58181, _58183, _58185] : [-(selection_favors(_58183, _58181, _58179)), environment(_58185), subpopulation(_58183, _58185, _58179), subpopulation(_58181, _58185, _58179), greater(cardinality_at_time(_58183, _58179), zero), cardinality_at_time(_58181, _58179) = zero], (202 ^ _52001) ^ [_58805, _58807] : [-(subpopulations(first_movers, efficient_producers, _58807, _58805)), environment(_58807), in_environment(_58807, _58805), greater(cardinality_at_time(first_movers, _58805), zero), greater(cardinality_at_time(efficient_producers, _58805), zero)], (220 ^ _52001) ^ [_59296, _59298] : [-(greater_or_equal(cardinality_at_time(first_movers, _59296), zero)), environment(_59298), in_environment(_59298, _59296)], (230 ^ _52001) ^ [_59599, _59601] : [237 ^ _52001 : [(238 ^ _52001) ^ [] : [-(subpopulation(first_movers, _59601, _59599))], (240 ^ _52001) ^ [] : [-(subpopulation(efficient_producers, _59601, _59599))]], environment(_59601), in_environment(_59601, _59599)], (242 ^ _52001) ^ [_59961] : [environment(_59961), -(greater_or_equal(critical_point(_59961), appear(efficient_producers, _59961)))], (248 ^ _52001) ^ [_60187, _60189, _60191] : [-(greater(_60191, _60187)), greater(_60191, _60189), greater(_60189, _60187)], (268 ^ _52001) ^ [_60777, _60779] : [269 ^ _52001 : [(270 ^ _52001) ^ [] : [greater(_60779, _60777)], (272 ^ _52001) ^ [] : [_60779 = _60777]], -(greater_or_equal(_60779, _60777))], (258 ^ _52001) ^ [_60525, _60527] : [greater_or_equal(_60527, _60525), -(greater(_60527, _60525)), -(_60527 = _60525)], (296 ^ _52001) ^ [_61708, _61710] : [-(greater(cardinality_at_time(efficient_producers, _61708), zero)), environment(_61710), in_environment(_61710, _61708), greater_or_equal(_61708, appear(efficient_producers, _61710))], (276 ^ _52001) ^ [_61063, _61065] : [environment(_61065), _61063 = critical_point(_61065), 283 ^ _52001 : [(284 ^ _52001) ^ [] : [greater(growth_rate(efficient_producers, _61063), growth_rate(first_movers, _61063))], (286 ^ _52001) ^ [_61390] : [-(greater(growth_rate(efficient_producers, _61390), growth_rate(first_movers, _61390))), subpopulations(first_movers, efficient_producers, _61065, _61390), greater(_61390, _61063)]]], (130 ^ _52001) ^ [_56430, _56432, _56434, _56436] : [-(growth_rate(_56436, _56432) = growth_rate(_56434, _56430)), _56436 = _56434, _56432 = _56430], (140 ^ _52001) ^ [_56789, _56791, _56793, _56795] : [-(appear(_56795, _56791) = appear(_56793, _56789)), _56795 = _56793, _56791 = _56789], (160 ^ _52001) ^ [_57459, _57461] : [_57461 = _57459, -(critical_point(_57461) = critical_point(_57459))], (150 ^ _52001) ^ [_57148, _57150, _57152, _57154] : [-(cardinality_at_time(_57154, _57150) = cardinality_at_time(_57152, _57148)), _57154 = _57152, _57150 = _57148], (2 ^ _52001) ^ [_52145] : [-(_52145 = _52145)], (4 ^ _52001) ^ [_52252, _52254] : [_52254 = _52252, -(_52252 = _52254)], (10 ^ _52001) ^ [_52456, _52458, _52460] : [-(_52460 = _52456), _52460 = _52458, _52458 = _52456], (20 ^ _52001) ^ [_52825, _52827, _52829, _52831, _52833, _52835] : [-(subpopulation(_52833, _52829, _52825)), subpopulation(_52835, _52831, _52827), _52835 = _52833, _52831 = _52829, _52827 = _52825], (38 ^ _52001) ^ [_53462, _53464, _53466, _53468, _53470, _53472, _53474, _53476] : [-(subpopulations(_53474, _53470, _53466, _53462)), subpopulations(_53476, _53472, _53468, _53464), _53476 = _53474, _53472 = _53470, _53468 = _53466, _53464 = _53462], (60 ^ _52001) ^ [_54196, _54198, _54200, _54202] : [-(greater_or_equal(_54200, _54196)), greater_or_equal(_54202, _54198), _54202 = _54200, _54198 = _54196], (74 ^ _52001) ^ [_54612, _54614] : [-(environment(_54612)), _54614 = _54612, environment(_54614)], (84 ^ _52001) ^ [_54935, _54937, _54939, _54941] : [-(in_environment(_54939, _54935)), in_environment(_54941, _54937), _54941 = _54939, _54937 = _54935], (98 ^ _52001) ^ [_55379, _55381, _55383, _55385] : [-(greater(_55383, _55379)), greater(_55385, _55381), _55385 = _55383, _55381 = _55379], (112 ^ _52001) ^ [_55831, _55833, _55835, _55837, _55839, _55841] : [-(selection_favors(_55839, _55835, _55831)), selection_favors(_55841, _55837, _55833), _55841 = _55839, _55837 = _55835, _55833 = _55831]], input).
% 0.63/1.37  ncf('1',plain,[selection_favors(efficient_producers, first_movers, 310 ^ [])],start(318 ^ 0)).
% 0.63/1.37  ncf('1.1',plain,[-(selection_favors(efficient_producers, first_movers, 310 ^ [])), environment(309 ^ []), subpopulation(efficient_producers, 309 ^ [], 310 ^ []), subpopulation(first_movers, 309 ^ [], 310 ^ []), greater(cardinality_at_time(efficient_producers, 310 ^ []), zero), cardinality_at_time(first_movers, 310 ^ []) = zero],extension(180 ^ 1,bind([[_58179, _58181, _58183, _58185], [310 ^ [], first_movers, efficient_producers, 309 ^ []]]))).
% 0.63/1.37  ncf('1.1.1',plain,[-(environment(309 ^ []))],extension(312 ^ 2)).
% 0.63/1.37  ncf('1.1.2',plain,[-(subpopulation(efficient_producers, 309 ^ [], 310 ^ [])), environment(309 ^ []), in_environment(309 ^ [], 310 ^ [])],extension(230 ^ 2,bind([[_59599, _59601], [310 ^ [], 309 ^ []]]))).
% 0.63/1.37  ncf('1.1.2.1',plain,[-(environment(309 ^ []))],lemmata('[1].x')).
% 0.63/1.37  ncf('1.1.2.2',plain,[-(in_environment(309 ^ [], 310 ^ []))],extension(314 ^ 3)).
% 0.63/1.37  ncf('1.1.3',plain,[-(subpopulation(first_movers, 309 ^ [], 310 ^ [])), environment(309 ^ []), in_environment(309 ^ [], 310 ^ [])],extension(230 ^ 2,bind([[_59599, _59601], [310 ^ [], 309 ^ []]]))).
% 0.63/1.37  ncf('1.1.3.1',plain,[-(environment(309 ^ []))],lemmata('[1].x')).
% 0.63/1.37  ncf('1.1.3.2',plain,[-(in_environment(309 ^ [], 310 ^ []))],extension(314 ^ 3)).
% 0.63/1.37  ncf('1.1.4',plain,[-(greater(cardinality_at_time(efficient_producers, 310 ^ []), zero)), environment(309 ^ []), in_environment(309 ^ [], 310 ^ []), greater_or_equal(310 ^ [], appear(efficient_producers, 309 ^ []))],extension(296 ^ 2,bind([[_61708, _61710], [310 ^ [], 309 ^ []]]))).
% 0.63/1.37  ncf('1.1.4.1',plain,[-(environment(309 ^ []))],extension(312 ^ 3)).
% 0.63/1.37  ncf('1.1.4.2',plain,[-(in_environment(309 ^ [], 310 ^ []))],extension(314 ^ 3)).
% 0.63/1.37  ncf('1.1.4.3',plain,[-(greater_or_equal(310 ^ [], appear(efficient_producers, 309 ^ []))), 270 : greater(310 ^ [], appear(efficient_producers, 309 ^ []))],extension(268 ^ 3,bind([[_60777, _60779], [appear(efficient_producers, 309 ^ []), 310 ^ []]]))).
% 0.63/1.37  ncf('1.1.4.3.1',plain,[-(greater(310 ^ [], appear(efficient_producers, 309 ^ []))), greater(310 ^ [], critical_point(309 ^ [])), 310 ^ [] = 310 ^ [], critical_point(309 ^ []) = appear(efficient_producers, 309 ^ [])],extension(98 ^ 6,bind([[_55379, _55381, _55383, _55385], [appear(efficient_producers, 309 ^ []), critical_point(309 ^ []), 310 ^ [], 310 ^ []]]))).
% 0.63/1.37  ncf('1.1.4.3.1.1',plain,[-(greater(310 ^ [], critical_point(309 ^ [])))],extension(316 ^ 7)).
% 0.63/1.37  ncf('1.1.4.3.1.2',plain,[-(310 ^ [] = 310 ^ [])],extension(2 ^ 7,bind([[_52145], [310 ^ []]]))).
% 0.63/1.37  ncf('1.1.4.3.1.3',plain,[-(critical_point(309 ^ []) = appear(efficient_producers, 309 ^ [])), greater_or_equal(critical_point(309 ^ []), appear(efficient_producers, 309 ^ [])), -(greater(critical_point(309 ^ []), appear(efficient_producers, 309 ^ [])))],extension(258 ^ 7,bind([[_60525, _60527], [appear(efficient_producers, 309 ^ []), critical_point(309 ^ [])]]))).
% 0.63/1.37  ncf('1.1.4.3.1.3.1',plain,[-(greater_or_equal(critical_point(309 ^ []), appear(efficient_producers, 309 ^ []))), environment(309 ^ [])],extension(242 ^ 8,bind([[_59961], [309 ^ []]]))).
% 0.63/1.37  ncf('1.1.4.3.1.3.1.1',plain,[-(environment(309 ^ []))],lemmata('[1, 1].x')).
% 0.63/1.37  ncf('1.1.4.3.1.3.2',plain,[greater(critical_point(309 ^ []), appear(efficient_producers, 309 ^ [])), -(greater(310 ^ [], appear(efficient_producers, 309 ^ []))), greater(310 ^ [], critical_point(309 ^ []))],extension(248 ^ 8,bind([[_60187, _60189, _60191], [appear(efficient_producers, 309 ^ []), critical_point(309 ^ []), 310 ^ []]]))).
% 0.63/1.37  ncf('1.1.4.3.1.3.2.1',plain,[greater(310 ^ [], appear(efficient_producers, 309 ^ []))],reduction('1.1.4.3')).
% 0.63/1.37  ncf('1.1.4.3.1.3.2.2',plain,[-(greater(310 ^ [], critical_point(309 ^ [])))],lemmata('[3, 4, 1, 1].x')).
% 0.63/1.37  ncf('1.1.5',plain,[-(cardinality_at_time(first_movers, 310 ^ []) = zero), greater_or_equal(cardinality_at_time(first_movers, 310 ^ []), zero), -(greater(cardinality_at_time(first_movers, 310 ^ []), zero))],extension(258 ^ 2,bind([[_60525, _60527], [zero, cardinality_at_time(first_movers, 310 ^ [])]]))).
% 0.63/1.37  ncf('1.1.5.1',plain,[-(greater_or_equal(cardinality_at_time(first_movers, 310 ^ []), zero)), environment(309 ^ []), in_environment(309 ^ [], 310 ^ [])],extension(220 ^ 3,bind([[_59296, _59298], [310 ^ [], 309 ^ []]]))).
% 0.63/1.37  ncf('1.1.5.1.1',plain,[-(environment(309 ^ []))],extension(312 ^ 4)).
% 0.63/1.37  ncf('1.1.5.1.2',plain,[-(in_environment(309 ^ [], 310 ^ []))],extension(314 ^ 4)).
% 0.63/1.37  ncf('1.1.5.2',plain,[greater(cardinality_at_time(first_movers, 310 ^ []), zero), -(subpopulations(first_movers, efficient_producers, 309 ^ [], 310 ^ [])), environment(309 ^ []), in_environment(309 ^ [], 310 ^ []), greater(cardinality_at_time(efficient_producers, 310 ^ []), zero)],extension(202 ^ 3,bind([[_58805, _58807], [310 ^ [], 309 ^ []]]))).
% 0.63/1.37  ncf('1.1.5.2.1',plain,[subpopulations(first_movers, efficient_producers, 309 ^ [], 310 ^ []), -(selection_favors(efficient_producers, first_movers, 310 ^ [])), environment(309 ^ []), greater(growth_rate(efficient_producers, 310 ^ []), growth_rate(first_movers, 310 ^ []))],extension(166 ^ 4,bind([[_57719, _57721, _57723, _57725], [310 ^ [], efficient_producers, first_movers, 309 ^ []]]))).
% 0.63/1.37  ncf('1.1.5.2.1.1',plain,[selection_favors(efficient_producers, first_movers, 310 ^ [])],reduction('1')).
% 0.63/1.37  ncf('1.1.5.2.1.2',plain,[-(environment(309 ^ []))],extension(312 ^ 5)).
% 0.63/1.37  ncf('1.1.5.2.1.3',plain,[-(greater(growth_rate(efficient_producers, 310 ^ []), growth_rate(first_movers, 310 ^ []))), 286 : subpopulations(first_movers, efficient_producers, 309 ^ [], 310 ^ []), 286 : greater(310 ^ [], critical_point(309 ^ [])), 286 : environment(309 ^ []), 286 : critical_point(309 ^ []) = critical_point(309 ^ [])],extension(276 ^ 5,bind([[_61063, _61065, _61390], [critical_point(309 ^ []), 309 ^ [], 310 ^ []]]))).
% 0.63/1.37  ncf('1.1.5.2.1.3.1',plain,[-(subpopulations(first_movers, efficient_producers, 309 ^ [], 310 ^ []))],reduction('1.1.5.2')).
% 0.63/1.37  ncf('1.1.5.2.1.3.2',plain,[-(greater(310 ^ [], critical_point(309 ^ [])))],extension(316 ^ 8)).
% 0.63/1.37  ncf('1.1.5.2.1.3.3',plain,[-(environment(309 ^ []))],lemmata('[2, 5, 1, 1].x')).
% 0.63/1.37  ncf('1.1.5.2.1.3.4',plain,[-(critical_point(309 ^ []) = critical_point(309 ^ []))],extension(2 ^ 6,bind([[_52145], [critical_point(309 ^ [])]]))).
% 0.63/1.37  ncf('1.1.5.2.2',plain,[-(environment(309 ^ []))],lemmata('[1].x')).
% 0.63/1.37  ncf('1.1.5.2.3',plain,[-(in_environment(309 ^ [], 310 ^ []))],extension(314 ^ 4)).
% 0.63/1.37  ncf('1.1.5.2.4',plain,[-(greater(cardinality_at_time(efficient_producers, 310 ^ []), zero))],lemmata('[1].x')).
% 0.63/1.37  %-----------------------------------------------------
% 0.63/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------