TSTP Solution File: MGT023-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT023-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 : 600s
% DateTime : Sun Jul 17 22:26:14 EDT 2022
% Result : Unsatisfiable 0.45s 0.67s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT023-2 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 09:51:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/0.67
% 0.45/0.67 SPASS V 3.9
% 0.45/0.67 SPASS beiseite: Proof found.
% 0.45/0.67 % SZS status Theorem
% 0.45/0.67 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.67 SPASS derived 730 clauses, backtracked 499 clauses, performed 27 splits and kept 899 clauses.
% 0.45/0.67 SPASS allocated 76465 KBytes.
% 0.45/0.67 SPASS spent 0:00:00.32 on the problem.
% 0.45/0.67 0:00:00.04 for the input.
% 0.45/0.67 0:00:00.00 for the FLOTTER CNF translation.
% 0.45/0.67 0:00:00.02 for inferences.
% 0.45/0.67 0:00:00.01 for the backtracking.
% 0.45/0.67 0:00:00.22 for the reduction.
% 0.45/0.67
% 0.45/0.67
% 0.45/0.67 Here is a proof with depth 9, length 259 :
% 0.45/0.67 % SZS output start Refutation
% 0.45/0.67 1[0:Inp] environment(u) || in_environment(u,v) -> in_environment(u,sk2(u)) subpopulations(first_movers,efficient_producers,u,sk1(v,u))*.
% 0.45/0.67 2[0:Inp] environment(u) || in_environment(u,v)+ -> in_environment(u,sk2(u))* greater_or_equal(sk1(v,u),v)*.
% 0.45/0.67 3[0:Inp] environment(u) || in_environment(u,v) greater(growth_rate(efficient_producers,sk2(u)),growth_rate(first_movers,sk2(u)))*+ -> subpopulations(first_movers,efficient_producers,u,sk1(v,u))*.
% 0.45/0.67 4[0:Inp] environment(u) || in_environment(u,v) greater(w,sk2(u)) subpopulations(first_movers,efficient_producers,u,w)*+ -> greater(growth_rate(efficient_producers,w),growth_rate(first_movers,w))* subpopulations(first_movers,efficient_producers,u,sk1(v,u))*.
% 0.45/0.67 5[0:Inp] environment(u) || in_environment(u,v) greater(growth_rate(efficient_producers,sk2(u)),growth_rate(first_movers,sk2(u)))*+ -> greater_or_equal(sk1(v,u),v)*.
% 0.45/0.67 6[0:Inp] environment(u) || in_environment(u,v) greater(w,sk2(u)) subpopulations(first_movers,efficient_producers,u,w)*+ -> greater_or_equal(sk1(v,u),v)* greater(growth_rate(efficient_producers,w),growth_rate(first_movers,w))*.
% 0.45/0.67 7[0:Inp] environment(u) || in_environment(u,v) greater(growth_rate(efficient_producers,sk1(v,u)),growth_rate(first_movers,sk1(v,u)))* -> in_environment(u,sk2(u)).
% 0.45/0.67 8[0:Inp] environment(u) || in_environment(u,v) greater(growth_rate(efficient_producers,sk2(u)),growth_rate(first_movers,sk2(u))) greater(growth_rate(efficient_producers,sk1(v,u)),growth_rate(first_movers,sk1(v,u)))* -> .
% 0.45/0.67 9[0:Inp] environment(u) || in_environment(u,v) greater(w,sk2(u)) greater(growth_rate(efficient_producers,sk1(v,u)),growth_rate(first_movers,sk1(v,u)))*+ subpopulations(first_movers,efficient_producers,u,w)* -> greater(growth_rate(efficient_producers,w),growth_rate(first_movers,w))*.
% 0.45/0.67 10[0:Inp] environment(u) || in_environment(u,v)+ -> equal(v,critical_point(u)) greater(growth_rate(efficient_producers,v),growth_rate(first_movers,v))* subpopulations(first_movers,efficient_producers,u,sk3(v,u))*.
% 0.45/0.67 11[0:Inp] environment(u) || in_environment(u,v)+ -> equal(v,critical_point(u)) greater(sk3(v,u),v)* greater(growth_rate(efficient_producers,v),growth_rate(first_movers,v))*.
% 0.45/0.67 12[0:Inp] environment(u) || in_environment(u,v) greater(growth_rate(efficient_producers,sk3(v,u)),growth_rate(first_movers,sk3(v,u)))* -> equal(v,critical_point(u)) greater(growth_rate(efficient_producers,v),growth_rate(first_movers,v)).
% 0.45/0.67 13[0:Inp] stable(u) environment(u) || -> in_environment(u,sk4(u))*.
% 0.45/0.67 14[0:Inp] stable(u) environment(u) || greater_or_equal(v,sk4(u)) subpopulations(first_movers,efficient_producers,u,v)*+ -> greater(growth_rate(efficient_producers,v),growth_rate(first_movers,v))*.
% 0.45/0.67 15[0:Inp] || -> environment(sk5)*.
% 0.45/0.67 16[0:Inp] || -> stable(sk5)*.
% 0.45/0.67 17[0:Inp] || in_environment(sk5,critical_point(sk5))* -> .
% 0.45/0.67 19[0:Res:16.0,13.1] environment(sk5) || -> in_environment(sk5,sk4(sk5))*.
% 0.45/0.67 21[0:Res:15.0,4.0] || greater(u,sk2(sk5)) in_environment(sk5,v) subpopulations(first_movers,efficient_producers,sk5,u)+ -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))* subpopulations(first_movers,efficient_producers,sk5,sk1(v,sk5))*.
% 0.45/0.67 22[0:Res:15.0,12.0] || in_environment(sk5,u) greater(growth_rate(efficient_producers,sk3(u,sk5)),growth_rate(first_movers,sk3(u,sk5)))* -> equal(u,critical_point(sk5)) greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u)).
% 0.45/0.67 23[0:Res:15.0,6.0] || greater(u,sk2(sk5)) in_environment(sk5,v) subpopulations(first_movers,efficient_producers,sk5,u)+ -> greater_or_equal(sk1(v,sk5),v)* greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.45/0.67 24[0:Res:15.0,8.0] || in_environment(sk5,u) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) greater(growth_rate(efficient_producers,sk1(u,sk5)),growth_rate(first_movers,sk1(u,sk5)))* -> .
% 0.45/0.67 25[0:Res:15.0,10.0] || in_environment(sk5,u) -> equal(u,critical_point(sk5)) greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))* subpopulations(first_movers,efficient_producers,sk5,sk3(u,sk5)).
% 0.45/0.67 26[0:Res:15.0,14.0] stable(sk5) || subpopulations(first_movers,efficient_producers,sk5,u) greater_or_equal(u,sk4(sk5)) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.45/0.67 27[0:Res:15.0,3.0] || in_environment(sk5,u) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*+ -> subpopulations(first_movers,efficient_producers,sk5,sk1(u,sk5))*.
% 0.45/0.67 28[0:Res:15.0,11.0] || in_environment(sk5,u) -> equal(u,critical_point(sk5)) greater(sk3(u,sk5),u) greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.45/0.67 29[0:Res:15.0,7.0] || in_environment(sk5,u) greater(growth_rate(efficient_producers,sk1(u,sk5)),growth_rate(first_movers,sk1(u,sk5)))* -> in_environment(sk5,sk2(sk5)).
% 0.45/0.67 30[0:Res:15.0,5.0] || in_environment(sk5,u) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*+ -> greater_or_equal(sk1(u,sk5),u)*.
% 0.45/0.67 31[0:Res:15.0,1.0] || in_environment(sk5,u) -> in_environment(sk5,sk2(sk5)) subpopulations(first_movers,efficient_producers,sk5,sk1(u,sk5))*.
% 0.45/0.67 32[0:Res:15.0,2.0] || in_environment(sk5,u) -> in_environment(sk5,sk2(sk5)) greater_or_equal(sk1(u,sk5),u)*.
% 0.45/0.67 34[0:MRR:19.0,15.0] || -> in_environment(sk5,sk4(sk5))*.
% 0.45/0.67 35[0:MRR:26.0,16.0] || greater_or_equal(u,sk4(sk5)) subpopulations(first_movers,efficient_producers,sk5,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.45/0.67 36[1:Spt:23.0,23.2,23.4] || greater(u,sk2(sk5)) subpopulations(first_movers,efficient_producers,sk5,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.45/0.67 37[2:Spt:32.0,32.2] || in_environment(sk5,u) -> greater_or_equal(sk1(u,sk5),u)*.
% 0.45/0.67 38[3:Spt:31.0,31.2] || in_environment(sk5,u) -> subpopulations(first_movers,efficient_producers,sk5,sk1(u,sk5))*.
% 0.45/0.67 39[0:Res:34.0,2.1] environment(sk5) || -> in_environment(sk5,sk2(sk5)) greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))*.
% 0.45/0.67 40[0:Res:13.2,2.1] stable(u) environment(u) environment(u) || -> in_environment(u,sk2(u)) greater_or_equal(sk1(sk4(u),u),sk4(u))*.
% 0.45/0.67 41[0:SSi:39.0,16.0,15.0] || -> in_environment(sk5,sk2(sk5)) greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))*.
% 0.45/0.67 42[0:Obv:40.1] stable(u) environment(u) || -> in_environment(u,sk2(u)) greater_or_equal(sk1(sk4(u),u),sk4(u))*.
% 0.45/0.67 43[0:Res:35.2,29.1] || greater_or_equal(sk1(u,sk5),sk4(sk5)) subpopulations(first_movers,efficient_producers,sk5,sk1(u,sk5))* in_environment(sk5,u) -> in_environment(sk5,sk2(sk5)).
% 0.45/0.67 46[3:MRR:43.1,38.1] || greater_or_equal(sk1(u,sk5),sk4(sk5))* in_environment(sk5,u) -> in_environment(sk5,sk2(sk5)).
% 0.45/0.67 48[3:Res:41.1,46.0] || in_environment(sk5,sk4(sk5))* -> in_environment(sk5,sk2(sk5)) in_environment(sk5,sk2(sk5)).
% 0.45/0.67 50[3:Obv:48.1] || in_environment(sk5,sk4(sk5))* -> in_environment(sk5,sk2(sk5)).
% 0.45/0.67 51[3:MRR:50.0,34.0] || -> in_environment(sk5,sk2(sk5))*.
% 0.45/0.67 63[0:Res:34.0,11.1] environment(sk5) || -> equal(sk4(sk5),critical_point(sk5)) greater(sk3(sk4(sk5),sk5),sk4(sk5)) greater(growth_rate(efficient_producers,sk4(sk5)),growth_rate(first_movers,sk4(sk5)))*.
% 0.45/0.67 64[3:Res:51.0,11.1] environment(sk5) || -> equal(critical_point(sk5),sk2(sk5)) greater(sk3(sk2(sk5),sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 66[3:SSi:64.0,16.0,15.0] || -> equal(critical_point(sk5),sk2(sk5)) greater(sk3(sk2(sk5),sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 67[0:SSi:63.0,16.0,15.0] || -> equal(sk4(sk5),critical_point(sk5)) greater(sk3(sk4(sk5),sk5),sk4(sk5)) greater(growth_rate(efficient_producers,sk4(sk5)),growth_rate(first_movers,sk4(sk5)))*.
% 0.45/0.67 73[4:Spt:66.0] || -> equal(critical_point(sk5),sk2(sk5))**.
% 0.45/0.67 74[4:Rew:73.0,17.0] || in_environment(sk5,sk2(sk5))* -> .
% 0.45/0.67 85[4:MRR:74.0,51.0] || -> .
% 0.45/0.67 86[4:Spt:85.0,66.0,73.0] || equal(critical_point(sk5),sk2(sk5))** -> .
% 0.45/0.67 87[4:Spt:85.0,66.1,66.2] || -> greater(sk3(sk2(sk5),sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 93[3:Res:38.1,14.3] stable(sk5) environment(sk5) || in_environment(sk5,u) greater_or_equal(sk1(u,sk5),sk4(sk5)) -> greater(growth_rate(efficient_producers,sk1(u,sk5)),growth_rate(first_movers,sk1(u,sk5)))*.
% 0.45/0.67 94[0:Res:1.3,14.3] environment(u) stable(u) environment(u) || in_environment(u,v) greater_or_equal(sk1(v,u),sk4(u)) -> in_environment(u,sk2(u)) greater(growth_rate(efficient_producers,sk1(v,u)),growth_rate(first_movers,sk1(v,u)))*.
% 0.45/0.67 95[3:SSi:93.1,93.0,16.0,15.0,16.0,15.0] || in_environment(sk5,u) greater_or_equal(sk1(u,sk5),sk4(sk5)) -> greater(growth_rate(efficient_producers,sk1(u,sk5)),growth_rate(first_movers,sk1(u,sk5)))*.
% 0.45/0.67 96[0:Obv:94.0] stable(u) environment(u) || in_environment(u,v) greater_or_equal(sk1(v,u),sk4(u)) -> in_environment(u,sk2(u)) greater(growth_rate(efficient_producers,sk1(v,u)),growth_rate(first_movers,sk1(v,u)))*.
% 0.45/0.67 97[0:MRR:96.5,7.2] stable(u) environment(u) || in_environment(u,v) greater_or_equal(sk1(v,u),sk4(u))* -> in_environment(u,sk2(u)).
% 0.45/0.67 98[5:Spt:67.0] || -> equal(sk4(sk5),critical_point(sk5))**.
% 0.45/0.67 99[5:Rew:98.0,34.0] || -> in_environment(sk5,critical_point(sk5))*.
% 0.45/0.67 105[5:MRR:99.0,17.0] || -> .
% 0.45/0.67 106[5:Spt:105.0,67.0,98.0] || equal(sk4(sk5),critical_point(sk5))** -> .
% 0.45/0.67 107[5:Spt:105.0,67.1,67.2] || -> greater(sk3(sk4(sk5),sk5),sk4(sk5)) greater(growth_rate(efficient_producers,sk4(sk5)),growth_rate(first_movers,sk4(sk5)))*.
% 0.45/0.67 113[3:Res:51.0,10.1] environment(sk5) || -> equal(critical_point(sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)).
% 0.45/0.67 118[3:SSi:113.0,16.0,15.0] || -> equal(critical_point(sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)).
% 0.45/0.67 119[4:MRR:118.0,86.0] || -> greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)).
% 0.45/0.67 121[6:Spt:119.0] || -> greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 122[6:MRR:24.1,121.0] || in_environment(sk5,u) greater(growth_rate(efficient_producers,sk1(u,sk5)),growth_rate(first_movers,sk1(u,sk5)))* -> .
% 0.45/0.67 123[6:MRR:95.2,122.1] || in_environment(sk5,u) greater_or_equal(sk1(u,sk5),sk4(sk5))* -> .
% 0.45/0.67 126[6:Res:37.1,123.1] || in_environment(sk5,sk4(sk5))* in_environment(sk5,sk4(sk5))* -> .
% 0.45/0.67 128[6:Obv:126.0] || in_environment(sk5,sk4(sk5))* -> .
% 0.45/0.67 129[6:MRR:128.0,34.0] || -> .
% 0.45/0.67 130[6:Spt:129.0,119.0,121.0] || greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* -> .
% 0.45/0.67 131[6:Spt:129.0,119.1] || -> subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))*.
% 0.45/0.67 132[6:MRR:87.1,130.0] || -> greater(sk3(sk2(sk5),sk5),sk2(sk5))*.
% 0.45/0.67 139[0:Res:42.3,97.3] stable(u) environment(u) stable(u) environment(u) || in_environment(u,sk4(u))* -> in_environment(u,sk2(u)) in_environment(u,sk2(u)).
% 0.45/0.67 141[0:Obv:139.5] stable(u) environment(u) || in_environment(u,sk4(u))* -> in_environment(u,sk2(u)).
% 0.45/0.67 142[0:MRR:141.2,13.2] stable(u) environment(u) || -> in_environment(u,sk2(u))*.
% 0.45/0.67 183[1:Res:36.2,22.1] || greater(sk3(u,sk5),sk2(sk5)) subpopulations(first_movers,efficient_producers,sk5,sk3(u,sk5)) in_environment(sk5,u) -> equal(u,critical_point(sk5)) greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.45/0.67 184[1:MRR:183.1,25.3] || greater(sk3(u,sk5),sk2(sk5)) in_environment(sk5,u) -> equal(u,critical_point(sk5)) greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.45/0.67 188[6:Res:184.3,130.0] || greater(sk3(sk2(sk5),sk5),sk2(sk5))* in_environment(sk5,sk2(sk5)) -> equal(critical_point(sk5),sk2(sk5)).
% 0.45/0.67 193[6:MRR:188.0,188.1,188.2,132.0,51.0,86.0] || -> .
% 0.45/0.67 194[3:Spt:193.0,31.1] || -> in_environment(sk5,sk2(sk5))*.
% 0.45/0.67 195[3:Res:194.0,10.1] environment(sk5) || -> equal(critical_point(sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)).
% 0.45/0.67 196[3:Res:194.0,11.1] environment(sk5) || -> equal(critical_point(sk5),sk2(sk5)) greater(sk3(sk2(sk5),sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 198[3:SSi:196.0,16.0,15.0] || -> equal(critical_point(sk5),sk2(sk5)) greater(sk3(sk2(sk5),sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 199[3:SSi:195.0,16.0,15.0] || -> equal(critical_point(sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)).
% 0.45/0.67 200[4:Spt:67.0] || -> equal(sk4(sk5),critical_point(sk5))**.
% 0.45/0.67 201[4:Rew:200.0,34.0] || -> in_environment(sk5,critical_point(sk5))*.
% 0.45/0.67 209[4:MRR:201.0,17.0] || -> .
% 0.45/0.67 210[4:Spt:209.0,67.0,200.0] || equal(sk4(sk5),critical_point(sk5))** -> .
% 0.45/0.67 211[4:Spt:209.0,67.1,67.2] || -> greater(sk3(sk4(sk5),sk5),sk4(sk5)) greater(growth_rate(efficient_producers,sk4(sk5)),growth_rate(first_movers,sk4(sk5)))*.
% 0.45/0.67 222[5:Spt:198.0] || -> equal(critical_point(sk5),sk2(sk5))**.
% 0.45/0.67 223[5:Rew:222.0,17.0] || in_environment(sk5,sk2(sk5))* -> .
% 0.45/0.67 248[5:MRR:223.0,194.0] || -> .
% 0.45/0.67 252[5:Spt:248.0,198.0,222.0] || equal(critical_point(sk5),sk2(sk5))** -> .
% 0.45/0.67 253[5:Spt:248.0,198.1,198.2] || -> greater(sk3(sk2(sk5),sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 254[5:MRR:199.0,252.0] || -> greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)).
% 0.45/0.67 255[6:Spt:253.0] || -> greater(sk3(sk2(sk5),sk5),sk2(sk5))*.
% 0.45/0.67 256[7:Spt:254.0] || -> greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 257[7:MRR:27.1,256.0] || in_environment(sk5,u) -> subpopulations(first_movers,efficient_producers,sk5,sk1(u,sk5))*.
% 0.45/0.67 258[7:MRR:24.1,256.0] || in_environment(sk5,u) greater(growth_rate(efficient_producers,sk1(u,sk5)),growth_rate(first_movers,sk1(u,sk5)))* -> .
% 0.45/0.67 262[7:Res:257.1,14.3] stable(sk5) environment(sk5) || in_environment(sk5,u) greater_or_equal(sk1(u,sk5),sk4(sk5)) -> greater(growth_rate(efficient_producers,sk1(u,sk5)),growth_rate(first_movers,sk1(u,sk5)))*.
% 0.45/0.67 265[7:SSi:262.1,262.0,16.0,15.0,16.0,15.0] || in_environment(sk5,u) greater_or_equal(sk1(u,sk5),sk4(sk5)) -> greater(growth_rate(efficient_producers,sk1(u,sk5)),growth_rate(first_movers,sk1(u,sk5)))*.
% 0.45/0.67 266[7:MRR:265.2,258.1] || in_environment(sk5,u) greater_or_equal(sk1(u,sk5),sk4(sk5))* -> .
% 0.45/0.67 267[7:Res:37.1,266.1] || in_environment(sk5,sk4(sk5))* in_environment(sk5,sk4(sk5))* -> .
% 0.45/0.67 268[7:Obv:267.0] || in_environment(sk5,sk4(sk5))* -> .
% 0.45/0.67 269[7:MRR:268.0,34.0] || -> .
% 0.45/0.67 270[7:Spt:269.0,254.0,256.0] || greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* -> .
% 0.45/0.67 271[7:Spt:269.0,254.1] || -> subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))*.
% 0.45/0.67 298[7:Res:184.3,270.0] || greater(sk3(sk2(sk5),sk5),sk2(sk5))* in_environment(sk5,sk2(sk5)) -> equal(critical_point(sk5),sk2(sk5)).
% 0.45/0.67 302[7:MRR:298.0,298.1,298.2,255.0,194.0,252.0] || -> .
% 0.45/0.67 303[6:Spt:302.0,253.0,255.0] || greater(sk3(sk2(sk5),sk5),sk2(sk5))* -> .
% 0.45/0.67 304[6:Spt:302.0,253.1] || -> greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 305[6:MRR:27.1,304.0] || in_environment(sk5,u) -> subpopulations(first_movers,efficient_producers,sk5,sk1(u,sk5))*.
% 0.45/0.67 306[6:MRR:24.1,304.0] || in_environment(sk5,u) greater(growth_rate(efficient_producers,sk1(u,sk5)),growth_rate(first_movers,sk1(u,sk5)))* -> .
% 0.45/0.67 315[6:Res:305.1,14.3] stable(sk5) environment(sk5) || in_environment(sk5,u) greater_or_equal(sk1(u,sk5),sk4(sk5)) -> greater(growth_rate(efficient_producers,sk1(u,sk5)),growth_rate(first_movers,sk1(u,sk5)))*.
% 0.45/0.67 319[6:SSi:315.1,315.0,16.0,15.0,16.0,15.0] || in_environment(sk5,u) greater_or_equal(sk1(u,sk5),sk4(sk5)) -> greater(growth_rate(efficient_producers,sk1(u,sk5)),growth_rate(first_movers,sk1(u,sk5)))*.
% 0.45/0.67 320[6:MRR:319.2,306.1] || in_environment(sk5,u) greater_or_equal(sk1(u,sk5),sk4(sk5))* -> .
% 0.45/0.67 321[6:Res:37.1,320.1] || in_environment(sk5,sk4(sk5))* in_environment(sk5,sk4(sk5))* -> .
% 0.45/0.67 322[6:Obv:321.0] || in_environment(sk5,sk4(sk5))* -> .
% 0.45/0.67 323[6:MRR:322.0,34.0] || -> .
% 0.45/0.67 324[2:Spt:323.0,32.1] || -> in_environment(sk5,sk2(sk5))*.
% 0.45/0.67 326[2:Res:324.0,11.1] environment(sk5) || -> equal(critical_point(sk5),sk2(sk5)) greater(sk3(sk2(sk5),sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 328[2:SSi:326.0,16.0,15.0] || -> equal(critical_point(sk5),sk2(sk5)) greater(sk3(sk2(sk5),sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 330[1:Res:184.3,30.1] || greater(sk3(sk2(sk5),sk5),sk2(sk5))* in_environment(sk5,sk2(sk5)) in_environment(sk5,u) -> equal(critical_point(sk5),sk2(sk5)) greater_or_equal(sk1(u,sk5),u)*.
% 0.45/0.67 332[0:Res:28.3,30.1] || in_environment(sk5,sk2(sk5)) in_environment(sk5,u) -> equal(critical_point(sk5),sk2(sk5)) greater(sk3(sk2(sk5),sk5),sk2(sk5))* greater_or_equal(sk1(u,sk5),u)*.
% 0.45/0.67 335[2:MRR:332.0,324.0] || in_environment(sk5,u) -> equal(critical_point(sk5),sk2(sk5)) greater(sk3(sk2(sk5),sk5),sk2(sk5))* greater_or_equal(sk1(u,sk5),u)*.
% 0.45/0.67 337[2:MRR:330.1,324.0] || greater(sk3(sk2(sk5),sk5),sk2(sk5))* in_environment(sk5,u) -> equal(critical_point(sk5),sk2(sk5)) greater_or_equal(sk1(u,sk5),u)*.
% 0.45/0.67 338[2:MRR:337.0,335.2] || in_environment(sk5,u) -> equal(critical_point(sk5),sk2(sk5)) greater_or_equal(sk1(u,sk5),u)*.
% 0.45/0.67 339[3:Spt:338.0,338.2] || in_environment(sk5,u) -> greater_or_equal(sk1(u,sk5),u)*.
% 0.45/0.67 340[1:Res:184.3,27.1] || greater(sk3(sk2(sk5),sk5),sk2(sk5))* in_environment(sk5,sk2(sk5)) in_environment(sk5,u) -> equal(critical_point(sk5),sk2(sk5)) subpopulations(first_movers,efficient_producers,sk5,sk1(u,sk5))*.
% 0.45/0.67 342[0:Res:28.3,27.1] || in_environment(sk5,sk2(sk5)) in_environment(sk5,u) -> equal(critical_point(sk5),sk2(sk5)) greater(sk3(sk2(sk5),sk5),sk2(sk5))* subpopulations(first_movers,efficient_producers,sk5,sk1(u,sk5))*.
% 0.45/0.67 345[2:MRR:342.0,324.0] || in_environment(sk5,u) -> equal(critical_point(sk5),sk2(sk5)) greater(sk3(sk2(sk5),sk5),sk2(sk5))* subpopulations(first_movers,efficient_producers,sk5,sk1(u,sk5))*.
% 0.45/0.67 347[2:MRR:340.1,324.0] || greater(sk3(sk2(sk5),sk5),sk2(sk5))* in_environment(sk5,u) -> equal(critical_point(sk5),sk2(sk5)) subpopulations(first_movers,efficient_producers,sk5,sk1(u,sk5))*.
% 0.45/0.67 348[2:MRR:347.0,345.2] || in_environment(sk5,u) -> equal(critical_point(sk5),sk2(sk5)) subpopulations(first_movers,efficient_producers,sk5,sk1(u,sk5))*.
% 0.45/0.67 349[4:Spt:348.0,348.2] || in_environment(sk5,u) -> subpopulations(first_movers,efficient_producers,sk5,sk1(u,sk5))*.
% 0.45/0.67 351[4:Res:349.1,14.3] stable(sk5) environment(sk5) || in_environment(sk5,u) greater_or_equal(sk1(u,sk5),sk4(sk5)) -> greater(growth_rate(efficient_producers,sk1(u,sk5)),growth_rate(first_movers,sk1(u,sk5)))*.
% 0.45/0.67 355[4:SSi:351.1,351.0,16.0,15.0,16.0,15.0] || in_environment(sk5,u) greater_or_equal(sk1(u,sk5),sk4(sk5)) -> greater(growth_rate(efficient_producers,sk1(u,sk5)),growth_rate(first_movers,sk1(u,sk5)))*.
% 0.45/0.67 356[5:Spt:67.0] || -> equal(sk4(sk5),critical_point(sk5))**.
% 0.45/0.67 357[5:Rew:356.0,34.0] || -> in_environment(sk5,critical_point(sk5))*.
% 0.45/0.67 373[5:MRR:357.0,17.0] || -> .
% 0.45/0.67 374[5:Spt:373.0,67.0,356.0] || equal(sk4(sk5),critical_point(sk5))** -> .
% 0.45/0.67 375[5:Spt:373.0,67.1,67.2] || -> greater(sk3(sk4(sk5),sk5),sk4(sk5)) greater(growth_rate(efficient_producers,sk4(sk5)),growth_rate(first_movers,sk4(sk5)))*.
% 0.45/0.67 386[6:Spt:328.0] || -> equal(critical_point(sk5),sk2(sk5))**.
% 0.45/0.67 387[6:Rew:386.0,17.0] || in_environment(sk5,sk2(sk5))* -> .
% 0.45/0.67 420[6:MRR:387.0,324.0] || -> .
% 0.45/0.67 424[6:Spt:420.0,328.0,386.0] || equal(critical_point(sk5),sk2(sk5))** -> .
% 0.45/0.67 425[6:Spt:420.0,328.1,328.2] || -> greater(sk3(sk2(sk5),sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 427[7:Spt:425.0] || -> greater(sk3(sk2(sk5),sk5),sk2(sk5))*.
% 0.45/0.67 437[4:Res:355.2,8.3] environment(sk5) || in_environment(sk5,u) greater_or_equal(sk1(u,sk5),sk4(sk5))* in_environment(sk5,u) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* -> .
% 0.45/0.67 440[4:Obv:437.1] environment(sk5) || greater_or_equal(sk1(u,sk5),sk4(sk5))* in_environment(sk5,u) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* -> .
% 0.45/0.67 441[4:SSi:440.0,16.0,15.0] || greater_or_equal(sk1(u,sk5),sk4(sk5))* in_environment(sk5,u) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*+ -> .
% 0.45/0.67 473[0:Res:35.2,24.2] || greater_or_equal(sk1(u,sk5),sk4(sk5)) subpopulations(first_movers,efficient_producers,sk5,sk1(u,sk5))* in_environment(sk5,u) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* -> .
% 0.45/0.67 487[4:Res:184.3,441.2] || greater(sk3(sk2(sk5),sk5),sk2(sk5))* in_environment(sk5,sk2(sk5)) greater_or_equal(sk1(u,sk5),sk4(sk5))* in_environment(sk5,u) -> equal(critical_point(sk5),sk2(sk5)).
% 0.45/0.67 493[7:MRR:487.0,487.1,487.4,427.0,324.0,424.0] || greater_or_equal(sk1(u,sk5),sk4(sk5))* in_environment(sk5,u) -> .
% 0.45/0.67 502[7:Res:339.1,493.0] || in_environment(sk5,sk4(sk5))* in_environment(sk5,sk4(sk5))* -> .
% 0.45/0.67 503[7:Obv:502.0] || in_environment(sk5,sk4(sk5))* -> .
% 0.45/0.67 504[7:MRR:503.0,34.0] || -> .
% 0.45/0.67 505[7:Spt:504.0,425.0,427.0] || greater(sk3(sk2(sk5),sk5),sk2(sk5))* -> .
% 0.45/0.67 506[7:Spt:504.0,425.1] || -> greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 513[7:MRR:441.2,506.0] || greater_or_equal(sk1(u,sk5),sk4(sk5))* in_environment(sk5,u) -> .
% 0.45/0.67 516[7:Res:339.1,513.0] || in_environment(sk5,sk4(sk5))* in_environment(sk5,sk4(sk5))* -> .
% 0.45/0.67 517[7:Obv:516.0] || in_environment(sk5,sk4(sk5))* -> .
% 0.45/0.67 518[7:MRR:517.0,34.0] || -> .
% 0.45/0.67 519[4:Spt:518.0,348.1] || -> equal(critical_point(sk5),sk2(sk5))**.
% 0.45/0.67 520[4:Rew:519.0,17.0] || in_environment(sk5,sk2(sk5))* -> .
% 0.45/0.67 554[4:MRR:520.0,324.0] || -> .
% 0.45/0.67 559[0:MRR:473.1,27.2] || greater_or_equal(sk1(u,sk5),sk4(sk5))* in_environment(sk5,u) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* -> .
% 0.45/0.67 569[3:Spt:554.0,338.1] || -> equal(critical_point(sk5),sk2(sk5))**.
% 0.45/0.67 570[3:Rew:569.0,17.0] || in_environment(sk5,sk2(sk5))* -> .
% 0.45/0.67 571[3:MRR:570.0,324.0] || -> .
% 0.45/0.67 613[1:Spt:571.0,23.1,23.3] || in_environment(sk5,u) -> greater_or_equal(sk1(u,sk5),u)*.
% 0.45/0.67 617[2:Spt:21.1,21.4] || in_environment(sk5,u) -> subpopulations(first_movers,efficient_producers,sk5,sk1(u,sk5))*.
% 0.45/0.67 618[2:Res:617.1,14.3] stable(sk5) environment(sk5) || in_environment(sk5,u) greater_or_equal(sk1(u,sk5),sk4(sk5)) -> greater(growth_rate(efficient_producers,sk1(u,sk5)),growth_rate(first_movers,sk1(u,sk5)))*.
% 0.45/0.67 621[2:SSi:618.1,618.0,16.0,15.0,16.0,15.0] || in_environment(sk5,u) greater_or_equal(sk1(u,sk5),sk4(sk5)) -> greater(growth_rate(efficient_producers,sk1(u,sk5)),growth_rate(first_movers,sk1(u,sk5)))*.
% 0.45/0.67 622[3:Spt:41.0] || -> in_environment(sk5,sk2(sk5))*.
% 0.45/0.67 623[3:Res:622.0,10.1] environment(sk5) || -> equal(critical_point(sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)).
% 0.45/0.67 624[3:Res:622.0,11.1] environment(sk5) || -> equal(critical_point(sk5),sk2(sk5)) greater(sk3(sk2(sk5),sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 626[3:SSi:624.0,16.0,15.0] || -> equal(critical_point(sk5),sk2(sk5)) greater(sk3(sk2(sk5),sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 627[3:SSi:623.0,16.0,15.0] || -> equal(critical_point(sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)).
% 0.45/0.67 634[4:Spt:67.0] || -> equal(sk4(sk5),critical_point(sk5))**.
% 0.45/0.67 635[4:Rew:634.0,34.0] || -> in_environment(sk5,critical_point(sk5))*.
% 0.45/0.67 654[4:MRR:635.0,17.0] || -> .
% 0.45/0.67 655[4:Spt:654.0,67.0,634.0] || equal(sk4(sk5),critical_point(sk5))** -> .
% 0.45/0.67 656[4:Spt:654.0,67.1,67.2] || -> greater(sk3(sk4(sk5),sk5),sk4(sk5)) greater(growth_rate(efficient_producers,sk4(sk5)),growth_rate(first_movers,sk4(sk5)))*.
% 0.45/0.67 667[5:Spt:626.0] || -> equal(critical_point(sk5),sk2(sk5))**.
% 0.45/0.67 668[5:Rew:667.0,17.0] || in_environment(sk5,sk2(sk5))* -> .
% 0.45/0.67 698[5:MRR:668.0,622.0] || -> .
% 0.45/0.67 702[5:Spt:698.0,626.0,667.0] || equal(critical_point(sk5),sk2(sk5))** -> .
% 0.45/0.67 703[5:Spt:698.0,626.1,626.2] || -> greater(sk3(sk2(sk5),sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 704[5:MRR:627.0,702.0] || -> greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)).
% 0.45/0.67 705[6:Spt:703.0] || -> greater(sk3(sk2(sk5),sk5),sk2(sk5))*.
% 0.45/0.67 706[7:Spt:704.0] || -> greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 708[7:MRR:559.2,706.0] || greater_or_equal(sk1(u,sk5),sk4(sk5))* in_environment(sk5,u) -> .
% 0.45/0.67 714[7:Res:613.1,708.0] || in_environment(sk5,sk4(sk5))* in_environment(sk5,sk4(sk5))* -> .
% 0.45/0.67 715[7:Obv:714.0] || in_environment(sk5,sk4(sk5))* -> .
% 0.45/0.67 716[7:MRR:715.0,34.0] || -> .
% 0.45/0.67 717[7:Spt:716.0,704.0,706.0] || greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* -> .
% 0.45/0.67 718[7:Spt:716.0,704.1] || -> subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))*.
% 0.45/0.67 732[2:Res:621.2,9.3] environment(sk5) || in_environment(sk5,u) greater_or_equal(sk1(u,sk5),sk4(sk5))* in_environment(sk5,u) greater(v,sk2(sk5)) subpopulations(first_movers,efficient_producers,sk5,v) -> greater(growth_rate(efficient_producers,v),growth_rate(first_movers,v))*.
% 0.45/0.67 737[2:Obv:732.1] environment(sk5) || greater_or_equal(sk1(u,sk5),sk4(sk5))* in_environment(sk5,u) greater(v,sk2(sk5)) subpopulations(first_movers,efficient_producers,sk5,v) -> greater(growth_rate(efficient_producers,v),growth_rate(first_movers,v))*.
% 0.45/0.67 738[2:SSi:737.0,16.0,15.0] || greater_or_equal(sk1(u,sk5),sk4(sk5))*+ in_environment(sk5,u) greater(v,sk2(sk5)) subpopulations(first_movers,efficient_producers,sk5,v) -> greater(growth_rate(efficient_producers,v),growth_rate(first_movers,v))*.
% 0.45/0.67 824[2:Res:613.1,738.0] || in_environment(sk5,sk4(sk5)) in_environment(sk5,sk4(sk5)) greater(u,sk2(sk5)) subpopulations(first_movers,efficient_producers,sk5,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.45/0.67 825[2:Obv:824.0] || in_environment(sk5,sk4(sk5)) greater(u,sk2(sk5)) subpopulations(first_movers,efficient_producers,sk5,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.45/0.67 826[2:MRR:825.0,34.0] || greater(u,sk2(sk5)) subpopulations(first_movers,efficient_producers,sk5,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.45/0.67 834[2:Res:826.2,22.1] || greater(sk3(u,sk5),sk2(sk5)) subpopulations(first_movers,efficient_producers,sk5,sk3(u,sk5)) in_environment(sk5,u) -> equal(u,critical_point(sk5)) greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.45/0.67 835[2:MRR:834.1,25.3] || greater(sk3(u,sk5),sk2(sk5)) in_environment(sk5,u) -> equal(u,critical_point(sk5)) greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.45/0.67 841[7:Res:835.3,717.0] || greater(sk3(sk2(sk5),sk5),sk2(sk5))* in_environment(sk5,sk2(sk5)) -> equal(critical_point(sk5),sk2(sk5)).
% 0.45/0.67 847[7:MRR:841.0,841.1,841.2,705.0,622.0,702.0] || -> .
% 0.45/0.67 848[6:Spt:847.0,703.0,705.0] || greater(sk3(sk2(sk5),sk5),sk2(sk5))* -> .
% 0.45/0.67 849[6:Spt:847.0,703.1] || -> greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 850[6:MRR:559.2,849.0] || greater_or_equal(sk1(u,sk5),sk4(sk5))* in_environment(sk5,u) -> .
% 0.45/0.67 870[6:Res:613.1,850.0] || in_environment(sk5,sk4(sk5))* in_environment(sk5,sk4(sk5))* -> .
% 0.45/0.67 873[6:Obv:870.0] || in_environment(sk5,sk4(sk5))* -> .
% 0.45/0.67 874[6:MRR:873.0,34.0] || -> .
% 0.45/0.67 875[3:Spt:874.0,41.0,622.0] || in_environment(sk5,sk2(sk5))* -> .
% 0.45/0.67 876[3:Spt:874.0,41.1] || -> greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))*.
% 0.45/0.67 879[3:Res:142.2,875.0] stable(sk5) environment(sk5) || -> .
% 0.45/0.67 880[3:SSi:879.1,879.0,16.0,15.0,16.0,15.0] || -> .
% 0.45/0.67 881[2:Spt:880.0,21.0,21.2,21.3] || greater(u,sk2(sk5)) subpopulations(first_movers,efficient_producers,sk5,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.45/0.67 888[2:Res:881.2,22.1] || greater(sk3(u,sk5),sk2(sk5)) subpopulations(first_movers,efficient_producers,sk5,sk3(u,sk5)) in_environment(sk5,u) -> equal(u,critical_point(sk5)) greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.45/0.67 889[2:MRR:888.1,25.3] || greater(sk3(u,sk5),sk2(sk5)) in_environment(sk5,u) -> equal(u,critical_point(sk5)) greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.45/0.67 897[3:Spt:41.0] || -> in_environment(sk5,sk2(sk5))*.
% 0.45/0.67 901[3:Res:897.0,10.1] environment(sk5) || -> equal(critical_point(sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)).
% 0.45/0.67 902[3:Res:897.0,11.1] environment(sk5) || -> equal(critical_point(sk5),sk2(sk5)) greater(sk3(sk2(sk5),sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 904[3:SSi:902.0,16.0,15.0] || -> equal(critical_point(sk5),sk2(sk5)) greater(sk3(sk2(sk5),sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 905[3:SSi:901.0,16.0,15.0] || -> equal(critical_point(sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)).
% 0.45/0.67 906[4:Spt:67.0] || -> equal(sk4(sk5),critical_point(sk5))**.
% 0.45/0.67 907[4:Rew:906.0,34.0] || -> in_environment(sk5,critical_point(sk5))*.
% 0.45/0.67 927[4:MRR:907.0,17.0] || -> .
% 0.45/0.67 928[4:Spt:927.0,67.0,906.0] || equal(sk4(sk5),critical_point(sk5))** -> .
% 0.45/0.67 929[4:Spt:927.0,67.1,67.2] || -> greater(sk3(sk4(sk5),sk5),sk4(sk5)) greater(growth_rate(efficient_producers,sk4(sk5)),growth_rate(first_movers,sk4(sk5)))*.
% 0.45/0.67 943[5:Spt:904.0] || -> equal(critical_point(sk5),sk2(sk5))**.
% 0.45/0.67 944[5:Rew:943.0,17.0] || in_environment(sk5,sk2(sk5))* -> .
% 0.45/0.67 975[5:MRR:944.0,897.0] || -> .
% 0.45/0.67 979[5:Spt:975.0,904.0,943.0] || equal(critical_point(sk5),sk2(sk5))** -> .
% 0.45/0.67 980[5:Spt:975.0,904.1,904.2] || -> greater(sk3(sk2(sk5),sk5),sk2(sk5)) greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 981[5:MRR:905.0,979.0] || -> greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)).
% 0.45/0.67 982[6:Spt:980.0] || -> greater(sk3(sk2(sk5),sk5),sk2(sk5))*.
% 0.45/0.67 983[7:Spt:981.0] || -> greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 985[7:MRR:559.2,983.0] || greater_or_equal(sk1(u,sk5),sk4(sk5))* in_environment(sk5,u) -> .
% 0.45/0.67 991[7:Res:613.1,985.0] || in_environment(sk5,sk4(sk5))* in_environment(sk5,sk4(sk5))* -> .
% 0.45/0.67 992[7:Obv:991.0] || in_environment(sk5,sk4(sk5))* -> .
% 0.45/0.67 993[7:MRR:992.0,34.0] || -> .
% 0.45/0.67 994[7:Spt:993.0,981.0,983.0] || greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))* -> .
% 0.45/0.67 995[7:Spt:993.0,981.1] || -> subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))*.
% 0.45/0.67 1035[7:Res:889.3,994.0] || greater(sk3(sk2(sk5),sk5),sk2(sk5))* in_environment(sk5,sk2(sk5)) -> equal(critical_point(sk5),sk2(sk5)).
% 0.45/0.67 1040[7:MRR:1035.0,1035.1,1035.2,982.0,897.0,979.0] || -> .
% 0.45/0.67 1041[6:Spt:1040.0,980.0,982.0] || greater(sk3(sk2(sk5),sk5),sk2(sk5))* -> .
% 0.45/0.67 1042[6:Spt:1040.0,980.1] || -> greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))*.
% 0.45/0.67 1043[6:MRR:559.2,1042.0] || greater_or_equal(sk1(u,sk5),sk4(sk5))* in_environment(sk5,u) -> .
% 0.45/0.67 1056[6:Res:613.1,1043.0] || in_environment(sk5,sk4(sk5))* in_environment(sk5,sk4(sk5))* -> .
% 0.45/0.67 1059[6:Obv:1056.0] || in_environment(sk5,sk4(sk5))* -> .
% 0.45/0.67 1060[6:MRR:1059.0,34.0] || -> .
% 0.45/0.67 1061[3:Spt:1060.0,41.0,897.0] || in_environment(sk5,sk2(sk5))* -> .
% 0.45/0.67 1062[3:Spt:1060.0,41.1] || -> greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))*.
% 0.45/0.67 1065[3:Res:142.2,1061.0] stable(sk5) environment(sk5) || -> .
% 0.45/0.68 1066[3:SSi:1065.1,1065.0,16.0,15.0,16.0,15.0] || -> .
% 0.45/0.68 % SZS output end Refutation
% 0.45/0.68 Formulae used in the proof : mp_earliest_time_growth_rate_exceeds_19 mp_earliest_time_growth_rate_exceeds_20 mp_earliest_time_growth_rate_exceeds_21 mp_earliest_time_growth_rate_exceeds_22 mp_earliest_time_growth_rate_exceeds_23 mp_earliest_time_growth_rate_exceeds_24 mp_earliest_time_growth_rate_exceeds_25 mp_earliest_time_growth_rate_exceeds_26 mp_earliest_time_growth_rate_exceeds_27 d1_28 d1_29 d1_30 l1_31 l1_32 prove_l5_33 prove_l5_34 prove_l5_35
% 0.45/0.68
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