TSTP Solution File: MGT028+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : MGT028+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n012.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 0.34s 1.39s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MGT028+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n012.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May 18 23:36:16 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.34/1.39  
% 0.34/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.34/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.39  %-----------------------------------------------------
% 0.34/1.39  ncf(matrix, plain, [(60 ^ _18052) ^ [] : [-(environment(58 ^ []))], (62 ^ _18052) ^ [] : [-(stable(58 ^ []))], (64 ^ _18052) ^ [_20292] : [greater(_20292, appear(efficient_producers, 58 ^ [])), 68 ^ _18052 : [(69 ^ _18052) ^ [] : [-(subpopulations(first_movers, efficient_producers, 58 ^ [], 67 ^ [_20292]))], (71 ^ _18052) ^ [] : [-(greater_or_equal(67 ^ [_20292], _20292))], (73 ^ _18052) ^ [] : [greater(zero, growth_rate(first_movers, 67 ^ [_20292]))]]], (36 ^ _18052) ^ [_19330] : [environment(_19330), stable(_19330), 44 ^ _18052 : [(45 ^ _18052) ^ [] : [-(in_environment(_19330, 43 ^ [_19330]))], (47 ^ _18052) ^ [_19722] : [54 ^ _18052 : [(55 ^ _18052) ^ [] : [-(greater(growth_rate(efficient_producers, _19722), zero))], (57 ^ _18052) ^ [] : [-(greater(zero, growth_rate(first_movers, _19722)))]], subpopulations(first_movers, efficient_producers, _19330, _19722), greater_or_equal(_19722, 43 ^ [_19330])]]], (2 ^ _18052) ^ [_18151] : [23 ^ _18052 : [(24 ^ _18052) ^ [] : [-(greater(22 ^ [_18151], appear(efficient_producers, _18151)))], (26 ^ _18052) ^ [_19036] : [-(greater(zero, growth_rate(first_movers, _19036))), subpopulations(first_movers, efficient_producers, _18151, _19036), greater_or_equal(_19036, 22 ^ [_18151])]], environment(_18151), stable(_18151), 11 ^ _18052 : [(12 ^ _18052) ^ [_18457] : [in_environment(_18151, _18457), 16 ^ _18052 : [(17 ^ _18052) ^ [] : [-(subpopulations(first_movers, efficient_producers, _18151, 15 ^ [_18151, _18457]))], (19 ^ _18052) ^ [] : [-(greater_or_equal(15 ^ [_18151, _18457], _18457))], (21 ^ _18052) ^ [] : [greater(zero, growth_rate(first_movers, 15 ^ [_18151, _18457]))]]]]]], input).
% 0.34/1.39  ncf('1',plain,[greater(22 ^ [58 ^ []], appear(efficient_producers, 58 ^ [])), 73 : greater(zero, growth_rate(first_movers, 67 ^ [22 ^ [58 ^ []]]))],start(64 ^ 0,bind([[_20292], [22 ^ [58 ^ []]]]))).
% 0.34/1.39  ncf('1.1',plain,[-(greater(22 ^ [58 ^ []], appear(efficient_producers, 58 ^ []))), environment(58 ^ []), stable(58 ^ []), 12 : in_environment(58 ^ [], 43 ^ [58 ^ []]), 17 : -(subpopulations(first_movers, efficient_producers, 58 ^ [], 15 ^ [58 ^ [], 43 ^ [58 ^ []]]))],extension(2 ^ 1,bind([[_18151, _18457], [58 ^ [], 43 ^ [58 ^ []]]]))).
% 0.34/1.39  ncf('1.1.1',plain,[-(environment(58 ^ []))],extension(60 ^ 2)).
% 0.34/1.39  ncf('1.1.2',plain,[-(stable(58 ^ []))],extension(62 ^ 2)).
% 0.34/1.39  ncf('1.1.3',plain,[-(in_environment(58 ^ [], 43 ^ [58 ^ []])), environment(58 ^ []), stable(58 ^ [])],extension(36 ^ 4,bind([[_19330], [58 ^ []]]))).
% 0.34/1.39  ncf('1.1.3.1',plain,[-(environment(58 ^ []))],lemmata('[1].x')).
% 0.34/1.39  ncf('1.1.3.2',plain,[-(stable(58 ^ []))],lemmata('[1].x')).
% 0.34/1.39  ncf('1.1.4',plain,[subpopulations(first_movers, efficient_producers, 58 ^ [], 15 ^ [58 ^ [], 43 ^ [58 ^ []]]), 57 : -(greater(zero, growth_rate(first_movers, 15 ^ [58 ^ [], 43 ^ [58 ^ []]]))), 57 : greater_or_equal(15 ^ [58 ^ [], 43 ^ [58 ^ []]], 43 ^ [58 ^ []]), 47 : environment(58 ^ []), 47 : stable(58 ^ [])],extension(36 ^ 6,bind([[_19330, _19722], [58 ^ [], 15 ^ [58 ^ [], 43 ^ [58 ^ []]]]]))).
% 0.34/1.39  ncf('1.1.4.1',plain,[greater(zero, growth_rate(first_movers, 15 ^ [58 ^ [], 43 ^ [58 ^ []]]))],extension(21 ^ 11)).
% 0.34/1.39  ncf('1.1.4.2',plain,[-(greater_or_equal(15 ^ [58 ^ [], 43 ^ [58 ^ []]], 43 ^ [58 ^ []]))],extension(19 ^ 9)).
% 0.34/1.39  ncf('1.1.4.3',plain,[-(environment(58 ^ []))],lemmata('[1].x')).
% 0.34/1.39  ncf('1.1.4.4',plain,[-(stable(58 ^ []))],lemmata('[1].x')).
% 0.34/1.39  ncf('1.2',plain,[-(greater(zero, growth_rate(first_movers, 67 ^ [22 ^ [58 ^ []]]))), 26 : subpopulations(first_movers, efficient_producers, 58 ^ [], 67 ^ [22 ^ [58 ^ []]]), 26 : greater_or_equal(67 ^ [22 ^ [58 ^ []]], 22 ^ [58 ^ []]), 26 : environment(58 ^ []), 26 : stable(58 ^ []), 12 : in_environment(58 ^ [], 43 ^ [58 ^ []]), 17 : -(subpopulations(first_movers, efficient_producers, 58 ^ [], 15 ^ [58 ^ [], 43 ^ [58 ^ []]]))],extension(2 ^ 3,bind([[_18151, _19036, _18457], [58 ^ [], 67 ^ [22 ^ [58 ^ []]], 43 ^ [58 ^ []]]]))).
% 0.34/1.39  ncf('1.2.1',plain,[-(subpopulations(first_movers, efficient_producers, 58 ^ [], 67 ^ [22 ^ [58 ^ []]]))],extension(69 ^ 6)).
% 0.34/1.39  ncf('1.2.2',plain,[-(greater_or_equal(67 ^ [22 ^ [58 ^ []]], 22 ^ [58 ^ []]))],extension(71 ^ 6)).
% 0.34/1.39  ncf('1.2.3',plain,[-(environment(58 ^ []))],extension(60 ^ 4)).
% 0.34/1.39  ncf('1.2.4',plain,[-(stable(58 ^ []))],extension(62 ^ 4)).
% 0.34/1.39  ncf('1.2.5',plain,[-(in_environment(58 ^ [], 43 ^ [58 ^ []])), environment(58 ^ []), stable(58 ^ [])],extension(36 ^ 6,bind([[_19330], [58 ^ []]]))).
% 0.34/1.39  ncf('1.2.5.1',plain,[-(environment(58 ^ []))],lemmata('[1].x')).
% 0.34/1.39  ncf('1.2.5.2',plain,[-(stable(58 ^ []))],lemmata('[1].x')).
% 0.34/1.39  ncf('1.2.6',plain,[subpopulations(first_movers, efficient_producers, 58 ^ [], 15 ^ [58 ^ [], 43 ^ [58 ^ []]]), 57 : -(greater(zero, growth_rate(first_movers, 15 ^ [58 ^ [], 43 ^ [58 ^ []]]))), 57 : greater_or_equal(15 ^ [58 ^ [], 43 ^ [58 ^ []]], 43 ^ [58 ^ []]), 47 : environment(58 ^ []), 47 : stable(58 ^ [])],extension(36 ^ 8,bind([[_19330, _19722], [58 ^ [], 15 ^ [58 ^ [], 43 ^ [58 ^ []]]]]))).
% 0.34/1.39  ncf('1.2.6.1',plain,[greater(zero, growth_rate(first_movers, 15 ^ [58 ^ [], 43 ^ [58 ^ []]]))],extension(21 ^ 13)).
% 0.34/1.39  ncf('1.2.6.2',plain,[-(greater_or_equal(15 ^ [58 ^ [], 43 ^ [58 ^ []]], 43 ^ [58 ^ []]))],extension(19 ^ 11)).
% 0.34/1.39  ncf('1.2.6.3',plain,[-(environment(58 ^ []))],lemmata('[1].x')).
% 0.34/1.39  ncf('1.2.6.4',plain,[-(stable(58 ^ []))],lemmata('[1].x')).
% 0.34/1.39  %-----------------------------------------------------
% 0.34/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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