TSTP Solution File: MGT020+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : MGT020+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n011.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 11:35:36 EDT 2023
% Result : Theorem 43.22s 42.72s
% Output : Proof 43.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT020+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n011.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 23:41:48 EDT 2023
% 0.12/0.33 % CPUTime :
% 43.22/42.72
% 43.22/42.72 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 43.22/42.72 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.22/42.72 %-----------------------------------------------------
% 43.22/42.72 ncf(matrix, plain, [(276 ^ _56706) ^ [] : [greater(disbanding_rate(first_movers, 270 ^ []), disbanding_rate(efficient_producers, 270 ^ []))], (274 ^ _56706) ^ [] : [-(subpopulations(first_movers, efficient_producers, 269 ^ [], 270 ^ []))], (272 ^ _56706) ^ [] : [-(environment(269 ^ []))], !, (146 ^ _47962) ^ [_52884, _52886] : [environment(_52886), 149 ^ _47962 : [(156 ^ _47962) ^ [] : [subpopulations(first_movers, efficient_producers, _52886, _52884), -(greater_or_equal(_52884, initial_FM_EP(_52886)))], (150 ^ _47962) ^ [] : [in_environment(_52886, initial_FM_EP(_52886)), -(subpopulations(first_movers, efficient_producers, _52886, initial_FM_EP(_52886)))]]], (120 ^ _47962) ^ [_51995, _51997] : [_51997 = _51995, -(initial_FM_EP(_51997) = initial_FM_EP(_51995))], (68 ^ _47962) ^ [_50272, _50274, _50276, _50278, _50280, _50282, _50284, _50286] : [-(subpopulations(_50284, _50280, _50276, _50272)), subpopulations(_50286, _50282, _50278, _50274), _50286 = _50284, _50282 = _50280, _50278 = _50276, _50274 = _50272], (58 ^ _47962) ^ [_49893, _49895] : [-(environment(_49893)), _49895 = _49893, environment(_49895)], (44 ^ _47962) ^ [_49477, _49479, _49481, _49483] : [-(greater_or_equal(_49481, _49477)), greater_or_equal(_49483, _49479), _49483 = _49481, _49479 = _49477], (188 ^ _47962) ^ [_54147, _54149] : [-(in_environment(_54149, _54147)), environment(_54149), subpopulations(first_movers, efficient_producers, _54149, _54147)], (2 ^ _47962) ^ [_48086] : [-(_48086 = _48086)], (20 ^ _47962) ^ [_48710, _48712] : [-(decreases(_48710)), _48712 = _48710, decreases(_48712)], (162 ^ _47962) ^ [_53393, _53395, _53397, _53399] : [-(decreases(difference(disbanding_rate(first_movers, _53397), disbanding_rate(efficient_producers, _53397)))), -(greater(disbanding_rate(first_movers, _53393), disbanding_rate(efficient_producers, _53393))), environment(_53399), greater_or_equal(_53397, _53395), greater_or_equal(_53393, _53397), subpopulations(first_movers, efficient_producers, _53399, _53393), greater(disbanding_rate(first_movers, _53395), disbanding_rate(efficient_producers, _53395))], (242 ^ _47962) ^ [_55764] : [environment(_55764), -(greater(disbanding_rate(first_movers, initial_FM_EP(_55764)), disbanding_rate(efficient_producers, initial_FM_EP(_55764))))], (248 ^ _47962) ^ [_55994, _55996, _55998, _56000] : [-(subpopulations(first_movers, efficient_producers, _56000, _55994)), environment(_56000), subpopulations(first_movers, efficient_producers, _56000, _55998), subpopulations(first_movers, efficient_producers, _56000, _55996), greater_or_equal(_55994, _55998), greater_or_equal(_55996, _55994)], (232 ^ _47962) ^ [_55478, _55480] : [greater_or_equal(_55480, _55478), -(greater(_55480, _55478)), -(_55480 = _55478)], (4 ^ _47962) ^ [_48193, _48195] : [_48195 = _48193, -(_48193 = _48195)], (136 ^ _47962) ^ [_52566, _52568] : [decreases(difference(disbanding_rate(first_movers, _52566), disbanding_rate(efficient_producers, _52566))), environment(_52568), subpopulations(first_movers, efficient_producers, _52568, _52566)], (114 ^ _47962) ^ [_51777, _51779] : [_51779 = _51777, -(start_time(_51779) = start_time(_51777))], (30 ^ _47962) ^ [_49033, _49035, _49037, _49039] : [-(in_environment(_49037, _49033)), in_environment(_49039, _49035), _49039 = _49037, _49035 = _49033], (204 ^ _47962) ^ [_54658, _54660, _54662] : [-(in_environment(_54662, _54660)), environment(_54662), greater_or_equal(_54660, start_time(_54662)), greater(_54658, _54660), in_environment(_54662, _54658)], (126 ^ _47962) ^ [_52221, _52223, _52225, _52227] : [-(disbanding_rate(_52227, _52223) = disbanding_rate(_52225, _52221)), _52227 = _52225, _52223 = _52221], (90 ^ _47962) ^ [_50986, _50988, _50990, _50992] : [-(greater(_50990, _50986)), greater(_50992, _50988), _50992 = _50990, _50988 = _50986], (222 ^ _47962) ^ [_55169, _55171, _55173] : [-(greater(_55173, _55169)), greater(_55173, _55171), greater(_55171, _55169)], (198 ^ _47962) ^ [_54434] : [environment(_54434), -(greater_or_equal(initial_FM_EP(_54434), start_time(_54434)))], (104 ^ _47962) ^ [_51446, _51448, _51450, _51452] : [-(difference(_51452, _51448) = difference(_51450, _51446)), _51452 = _51450, _51448 = _51446], (10 ^ _47962) ^ [_48397, _48399, _48401] : [-(_48401 = _48397), _48401 = _48399, _48399 = _48397]], input).
% 43.22/42.72 ncf('1',plain,[-(subpopulations(first_movers, efficient_producers, 269 ^ [], 270 ^ []))],start(274 ^ 0)).
% 43.22/42.72 ncf('1.1',plain,[subpopulations(first_movers, efficient_producers, 269 ^ [], 270 ^ []), -(subpopulations(first_movers, efficient_producers, 269 ^ [], initial_FM_EP(269 ^ []))), first_movers = first_movers, efficient_producers = efficient_producers, 269 ^ [] = 269 ^ [], 270 ^ [] = initial_FM_EP(269 ^ [])],extension(68 ^ 1,bind([[_50272, _50274, _50276, _50278, _50280, _50282, _50284, _50286], [initial_FM_EP(269 ^ []), 270 ^ [], 269 ^ [], 269 ^ [], efficient_producers, efficient_producers, first_movers, first_movers]]))).
% 43.22/42.72 ncf('1.1.1',plain,[subpopulations(first_movers, efficient_producers, 269 ^ [], initial_FM_EP(269 ^ [])), 156 : -(greater_or_equal(initial_FM_EP(269 ^ []), initial_FM_EP(269 ^ []))), 156 : environment(269 ^ [])],extension(146 ^ 2,bind([[_52884, _52886], [initial_FM_EP(269 ^ []), 269 ^ []]]))).
% 43.22/42.72 ncf('1.1.1.1',plain,[greater_or_equal(initial_FM_EP(269 ^ []), initial_FM_EP(269 ^ [])), -(decreases(difference(disbanding_rate(first_movers, initial_FM_EP(269 ^ [])), disbanding_rate(efficient_producers, initial_FM_EP(269 ^ []))))), -(greater(disbanding_rate(first_movers, 270 ^ []), disbanding_rate(efficient_producers, 270 ^ []))), environment(269 ^ []), greater_or_equal(270 ^ [], initial_FM_EP(269 ^ [])), subpopulations(first_movers, efficient_producers, 269 ^ [], 270 ^ []), greater(disbanding_rate(first_movers, initial_FM_EP(269 ^ [])), disbanding_rate(efficient_producers, initial_FM_EP(269 ^ [])))],extension(162 ^ 5,bind([[_53393, _53395, _53397, _53399], [270 ^ [], initial_FM_EP(269 ^ []), initial_FM_EP(269 ^ []), 269 ^ []]]))).
% 43.22/42.72 ncf('1.1.1.1.1',plain,[decreases(difference(disbanding_rate(first_movers, initial_FM_EP(269 ^ [])), disbanding_rate(efficient_producers, initial_FM_EP(269 ^ [])))), environment(269 ^ []), subpopulations(first_movers, efficient_producers, 269 ^ [], initial_FM_EP(269 ^ []))],extension(136 ^ 6,bind([[_52566, _52568], [initial_FM_EP(269 ^ []), 269 ^ []]]))).
% 43.22/42.72 ncf('1.1.1.1.1.1',plain,[-(environment(269 ^ []))],extension(272 ^ 7)).
% 43.22/42.72 ncf('1.1.1.1.1.2',plain,[-(subpopulations(first_movers, efficient_producers, 269 ^ [], initial_FM_EP(269 ^ [])))],reduction('1.1')).
% 43.22/42.72 ncf('1.1.1.1.2',plain,[greater(disbanding_rate(first_movers, 270 ^ []), disbanding_rate(efficient_producers, 270 ^ []))],extension(276 ^ 6)).
% 43.22/42.72 ncf('1.1.1.1.3',plain,[-(environment(269 ^ []))],extension(272 ^ 6)).
% 43.22/42.72 ncf('1.1.1.1.4',plain,[-(greater_or_equal(270 ^ [], initial_FM_EP(269 ^ []))), 156 : subpopulations(first_movers, efficient_producers, 269 ^ [], 270 ^ []), 156 : environment(269 ^ [])],extension(146 ^ 6,bind([[_52884, _52886], [270 ^ [], 269 ^ []]]))).
% 43.22/42.72 ncf('1.1.1.1.4.1',plain,[-(subpopulations(first_movers, efficient_producers, 269 ^ [], 270 ^ []))],reduction('1')).
% 43.22/42.72 ncf('1.1.1.1.4.2',plain,[-(environment(269 ^ []))],lemmata('[1, 1, 1].x')).
% 43.22/42.72 ncf('1.1.1.1.5',plain,[-(subpopulations(first_movers, efficient_producers, 269 ^ [], 270 ^ []))],reduction('1')).
% 43.22/42.72 ncf('1.1.1.1.6',plain,[-(greater(disbanding_rate(first_movers, initial_FM_EP(269 ^ [])), disbanding_rate(efficient_producers, initial_FM_EP(269 ^ [])))), environment(269 ^ [])],extension(242 ^ 6,bind([[_55764], [269 ^ []]]))).
% 43.22/42.72 ncf('1.1.1.1.6.1',plain,[-(environment(269 ^ []))],lemmata('[1, 1, 1].x')).
% 43.22/42.72 ncf('1.1.1.2',plain,[-(environment(269 ^ []))],extension(272 ^ 3)).
% 43.22/42.72 ncf('1.1.2',plain,[-(first_movers = first_movers)],extension(2 ^ 2,bind([[_48086], [first_movers]]))).
% 43.22/42.72 ncf('1.1.3',plain,[-(efficient_producers = efficient_producers)],extension(2 ^ 2,bind([[_48086], [efficient_producers]]))).
% 43.22/42.72 ncf('1.1.4',plain,[-(269 ^ [] = 269 ^ [])],extension(2 ^ 2,bind([[_48086], [269 ^ []]]))).
% 43.22/42.72 ncf('1.1.5',plain,[-(270 ^ [] = initial_FM_EP(269 ^ [])), greater_or_equal(270 ^ [], initial_FM_EP(269 ^ [])), -(greater(270 ^ [], initial_FM_EP(269 ^ [])))],extension(232 ^ 2,bind([[_55478, _55480], [initial_FM_EP(269 ^ []), 270 ^ []]]))).
% 43.22/42.72 ncf('1.1.5.1',plain,[-(greater_or_equal(270 ^ [], initial_FM_EP(269 ^ []))), 156 : subpopulations(first_movers, efficient_producers, 269 ^ [], 270 ^ []), 156 : environment(269 ^ [])],extension(146 ^ 3,bind([[_52884, _52886], [270 ^ [], 269 ^ []]]))).
% 43.22/42.72 ncf('1.1.5.1.1',plain,[-(subpopulations(first_movers, efficient_producers, 269 ^ [], 270 ^ []))],reduction('1')).
% 43.22/42.72 ncf('1.1.5.1.2',plain,[-(environment(269 ^ []))],extension(272 ^ 4)).
% 43.22/42.72 ncf('1.1.5.2',plain,[greater(270 ^ [], initial_FM_EP(269 ^ [])), -(in_environment(269 ^ [], initial_FM_EP(269 ^ []))), environment(269 ^ []), greater_or_equal(initial_FM_EP(269 ^ []), start_time(269 ^ [])), in_environment(269 ^ [], 270 ^ [])],extension(204 ^ 3,bind([[_54658, _54660, _54662], [270 ^ [], initial_FM_EP(269 ^ []), 269 ^ []]]))).
% 43.22/42.72 ncf('1.1.5.2.1',plain,[in_environment(269 ^ [], initial_FM_EP(269 ^ [])), 150 : -(subpopulations(first_movers, efficient_producers, 269 ^ [], initial_FM_EP(269 ^ []))), 150 : environment(269 ^ [])],extension(146 ^ 4,bind([[_52884, _52886], [_34635, 269 ^ []]]))).
% 43.22/42.72 ncf('1.1.5.2.1.1',plain,[subpopulations(first_movers, efficient_producers, 269 ^ [], initial_FM_EP(269 ^ []))],lemmata('[1].x')).
% 43.22/42.72 ncf('1.1.5.2.1.2',plain,[-(environment(269 ^ []))],extension(272 ^ 5)).
% 43.22/42.72 ncf('1.1.5.2.2',plain,[-(environment(269 ^ []))],extension(272 ^ 4)).
% 43.22/42.72 ncf('1.1.5.2.3',plain,[-(greater_or_equal(initial_FM_EP(269 ^ []), start_time(269 ^ []))), environment(269 ^ [])],extension(198 ^ 4,bind([[_54434], [269 ^ []]]))).
% 43.22/42.72 ncf('1.1.5.2.3.1',plain,[-(environment(269 ^ []))],lemmata('[5, 1, 1].x')).
% 43.22/42.72 ncf('1.1.5.2.4',plain,[-(in_environment(269 ^ [], 270 ^ [])), environment(269 ^ []), subpopulations(first_movers, efficient_producers, 269 ^ [], 270 ^ [])],extension(188 ^ 4,bind([[_54147, _54149], [270 ^ [], 269 ^ []]]))).
% 43.22/42.72 ncf('1.1.5.2.4.1',plain,[-(environment(269 ^ []))],lemmata('[5, 1, 1].x')).
% 43.22/42.72 ncf('1.1.5.2.4.2',plain,[-(subpopulations(first_movers, efficient_producers, 269 ^ [], 270 ^ []))],reduction('1')).
% 43.22/42.72 %-----------------------------------------------------
% 43.22/42.72 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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