TSTP Solution File: MGT023+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : MGT023+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n021.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 0.36s 1.40s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : MGT023+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14  % Command  : nanocop.sh %s %d
% 0.15/0.36  % Computer : n021.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu May 18 23:39:42 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.36/1.40  
% 0.36/1.40  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.36/1.40  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.40  %-----------------------------------------------------
% 0.36/1.40  ncf(matrix, plain, [(153 ^ _26979) ^ [] : [-(environment(151 ^ []))], (155 ^ _26979) ^ [] : [-(stable(151 ^ []))], (157 ^ _26979) ^ [] : [in_environment(151 ^ [], critical_point(151 ^ []))], (106 ^ _26979) ^ [_30572, _30574] : [-(_30572 = critical_point(_30574)), environment(_30574), -(greater(growth_rate(efficient_producers, _30572), growth_rate(first_movers, _30572))), in_environment(_30574, _30572), 120 ^ _26979 : [(121 ^ _26979) ^ [] : [-(subpopulations(first_movers, efficient_producers, _30574, 119 ^ [_30572, _30574]))], (123 ^ _26979) ^ [] : [-(greater(119 ^ [_30572, _30574], _30572))], (125 ^ _26979) ^ [] : [greater(growth_rate(efficient_producers, 119 ^ [_30572, _30574]), growth_rate(first_movers, 119 ^ [_30572, _30574]))]]], (129 ^ _26979) ^ [_31297] : [environment(_31297), stable(_31297), 137 ^ _26979 : [(138 ^ _26979) ^ [] : [-(in_environment(_31297, 136 ^ [_31297]))], (140 ^ _26979) ^ [] : [greater(growth_rate(efficient_producers, 136 ^ [_31297]), growth_rate(first_movers, 136 ^ [_31297]))], (142 ^ _26979) ^ [_31784] : [-(greater(growth_rate(efficient_producers, _31784), growth_rate(first_movers, _31784))), subpopulations(first_movers, efficient_producers, _31297, _31784), greater(_31784, 136 ^ [_31297])]]], (100 ^ _26979) ^ [_30348, _30350] : [_30350 = _30348, -(critical_point(_30350) = critical_point(_30348))], (90 ^ _26979) ^ [_30037, _30039, _30041, _30043] : [-(growth_rate(_30043, _30039) = growth_rate(_30041, _30037)), _30043 = _30041, _30039 = _30037], (2 ^ _26979) ^ [_27123] : [-(_27123 = _27123)], (4 ^ _26979) ^ [_27230, _27232] : [_27232 = _27230, -(_27230 = _27232)], (10 ^ _26979) ^ [_27434, _27436, _27438] : [-(_27438 = _27434), _27438 = _27436, _27436 = _27434], (20 ^ _26979) ^ [_27831, _27833, _27835, _27837, _27839, _27841, _27843, _27845] : [-(subpopulations(_27843, _27839, _27835, _27831)), subpopulations(_27845, _27841, _27837, _27833), _27845 = _27843, _27841 = _27839, _27837 = _27835, _27833 = _27831], (42 ^ _26979) ^ [_28565, _28567, _28569, _28571] : [-(greater(_28569, _28565)), greater(_28571, _28567), _28571 = _28569, _28567 = _28565], (56 ^ _26979) ^ [_28981, _28983] : [-(environment(_28981)), _28983 = _28981, environment(_28983)], (66 ^ _26979) ^ [_29276, _29278] : [-(stable(_29276)), _29278 = _29276, stable(_29278)], (76 ^ _26979) ^ [_29579, _29581, _29583, _29585] : [-(in_environment(_29583, _29579)), in_environment(_29585, _29581), _29585 = _29583, _29581 = _29579]], input).
% 0.36/1.40  ncf('1',plain,[environment(151 ^ []), stable(151 ^ []), 140 : greater(growth_rate(efficient_producers, 136 ^ [151 ^ []]), growth_rate(first_movers, 136 ^ [151 ^ []]))],start(129 ^ 0,bind([[_31297], [151 ^ []]]))).
% 0.36/1.40  ncf('1.1',plain,[-(environment(151 ^ []))],extension(153 ^ 1)).
% 0.36/1.40  ncf('1.2',plain,[-(stable(151 ^ []))],extension(155 ^ 1)).
% 0.36/1.40  ncf('1.3',plain,[-(greater(growth_rate(efficient_producers, 136 ^ [151 ^ []]), growth_rate(first_movers, 136 ^ [151 ^ []]))), -(136 ^ [151 ^ []] = critical_point(151 ^ [])), environment(151 ^ []), in_environment(151 ^ [], 136 ^ [151 ^ []]), 121 : -(subpopulations(first_movers, efficient_producers, 151 ^ [], 119 ^ [136 ^ [151 ^ []], 151 ^ []]))],extension(106 ^ 3,bind([[_30572, _30574], [136 ^ [151 ^ []], 151 ^ []]]))).
% 0.36/1.40  ncf('1.3.1',plain,[136 ^ [151 ^ []] = critical_point(151 ^ []), -(in_environment(151 ^ [], critical_point(151 ^ []))), in_environment(151 ^ [], 136 ^ [151 ^ []]), 151 ^ [] = 151 ^ []],extension(76 ^ 4,bind([[_29579, _29581, _29583, _29585], [critical_point(151 ^ []), 136 ^ [151 ^ []], 151 ^ [], 151 ^ []]]))).
% 0.36/1.40  ncf('1.3.1.1',plain,[in_environment(151 ^ [], critical_point(151 ^ []))],extension(157 ^ 5)).
% 0.36/1.40  ncf('1.3.1.2',plain,[-(in_environment(151 ^ [], 136 ^ [151 ^ []]))],extension(138 ^ 5)).
% 0.36/1.40  ncf('1.3.1.3',plain,[-(151 ^ [] = 151 ^ [])],extension(2 ^ 5,bind([[_27123], [151 ^ []]]))).
% 0.36/1.40  ncf('1.3.2',plain,[-(environment(151 ^ []))],lemmata('x')).
% 0.36/1.40  ncf('1.3.3',plain,[-(in_environment(151 ^ [], 136 ^ [151 ^ []]))],extension(138 ^ 4)).
% 0.36/1.40  ncf('1.3.4',plain,[subpopulations(first_movers, efficient_producers, 151 ^ [], 119 ^ [136 ^ [151 ^ []], 151 ^ []]), -(greater(growth_rate(efficient_producers, 119 ^ [136 ^ [151 ^ []], 151 ^ []]), growth_rate(first_movers, 119 ^ [136 ^ [151 ^ []], 151 ^ []]))), greater(119 ^ [136 ^ [151 ^ []], 151 ^ []], 136 ^ [151 ^ []])],extension(142 ^ 6,bind([[_31784], [119 ^ [136 ^ [151 ^ []], 151 ^ []]]]))).
% 0.36/1.40  ncf('1.3.4.1',plain,[greater(growth_rate(efficient_producers, 119 ^ [136 ^ [151 ^ []], 151 ^ []]), growth_rate(first_movers, 119 ^ [136 ^ [151 ^ []], 151 ^ []]))],extension(125 ^ 7)).
% 0.36/1.40  ncf('1.3.4.2',plain,[-(greater(119 ^ [136 ^ [151 ^ []], 151 ^ []], 136 ^ [151 ^ []]))],extension(123 ^ 7)).
% 0.36/1.40  %-----------------------------------------------------
% 0.36/1.40  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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