TSTP Solution File: MGT030-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT030-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 22:26:17 EDT 2022
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : MGT030-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n023.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 : 600
% 0.12/0.33 % DateTime : Thu Jun 9 11:35:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47
% 0.18/0.47 SPASS V 3.9
% 0.18/0.47 SPASS beiseite: Proof found.
% 0.18/0.47 % SZS status Theorem
% 0.18/0.47 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 SPASS derived 348 clauses, backtracked 180 clauses, performed 8 splits and kept 325 clauses.
% 0.18/0.47 SPASS allocated 76120 KBytes.
% 0.18/0.47 SPASS spent 0:00:00.13 on the problem.
% 0.18/0.47 0:00:00.03 for the input.
% 0.18/0.47 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.47 0:00:00.01 for inferences.
% 0.18/0.47 0:00:00.00 for the backtracking.
% 0.18/0.47 0:00:00.06 for the reduction.
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 Here is a proof with depth 8, length 155 :
% 0.18/0.47 % SZS output start Refutation
% 0.18/0.47 1[0:Inp] environment(u) || in_environment(u,v) -> in_environment(u,sk2(u)) subpopulations(first_movers,efficient_producers,u,sk1(v,u))*.
% 0.18/0.47 2[0:Inp] environment(u) || in_environment(u,v)+ -> in_environment(u,sk2(u))* greater_or_equal(sk1(v,u),v)*.
% 0.18/0.47 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))*.
% 0.18/0.47 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))*.
% 0.18/0.47 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)*.
% 0.18/0.47 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))*.
% 0.18/0.47 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)).
% 0.18/0.47 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)))* -> .
% 0.18/0.47 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))*.
% 0.18/0.47 10[0:Inp] stable(u) environment(u) || -> in_environment(u,sk3(u))*.
% 0.18/0.47 11[0:Inp] stable(u) environment(u) || greater_or_equal(v,sk3(u)) subpopulations(first_movers,efficient_producers,u,v)*+ -> greater(growth_rate(efficient_producers,v),growth_rate(first_movers,v))*.
% 0.18/0.47 12[0:Inp] || -> environment(sk4)*.
% 0.18/0.47 13[0:Inp] || -> stable(sk4)*.
% 0.18/0.47 14[0:Inp] || in_environment(sk4,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))* subpopulations(first_movers,efficient_producers,sk4,sk5(u)).
% 0.18/0.47 15[0:Inp] || in_environment(sk4,u) -> greater(sk5(u),u) greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.18/0.47 16[0:Inp] || in_environment(sk4,u) greater(growth_rate(efficient_producers,sk5(u)),growth_rate(first_movers,sk5(u)))* -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u)).
% 0.18/0.47 18[0:Res:13.0,10.1] environment(sk4) || -> in_environment(sk4,sk3(sk4))*.
% 0.18/0.47 20[0:Res:12.0,4.0] || greater(u,sk2(sk4)) in_environment(sk4,v) subpopulations(first_movers,efficient_producers,sk4,u)+ -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))* subpopulations(first_movers,efficient_producers,sk4,sk1(v,sk4))*.
% 0.18/0.47 21[0:Res:12.0,6.0] || greater(u,sk2(sk4)) in_environment(sk4,v) subpopulations(first_movers,efficient_producers,sk4,u)+ -> greater_or_equal(sk1(v,sk4),v)* greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.18/0.47 22[0:Res:12.0,8.0] || in_environment(sk4,u) greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) greater(growth_rate(efficient_producers,sk1(u,sk4)),growth_rate(first_movers,sk1(u,sk4)))* -> .
% 0.18/0.47 23[0:Res:12.0,11.0] stable(sk4) || subpopulations(first_movers,efficient_producers,sk4,u) greater_or_equal(u,sk3(sk4)) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.18/0.47 24[0:Res:12.0,3.0] || in_environment(sk4,u) greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))*+ -> subpopulations(first_movers,efficient_producers,sk4,sk1(u,sk4))*.
% 0.18/0.47 25[0:Res:12.0,7.0] || in_environment(sk4,u) greater(growth_rate(efficient_producers,sk1(u,sk4)),growth_rate(first_movers,sk1(u,sk4)))* -> in_environment(sk4,sk2(sk4)).
% 0.18/0.47 26[0:Res:12.0,5.0] || in_environment(sk4,u) greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))*+ -> greater_or_equal(sk1(u,sk4),u)*.
% 0.18/0.47 27[0:Res:12.0,1.0] || in_environment(sk4,u) -> in_environment(sk4,sk2(sk4)) subpopulations(first_movers,efficient_producers,sk4,sk1(u,sk4))*.
% 0.18/0.47 28[0:Res:12.0,2.0] || in_environment(sk4,u) -> in_environment(sk4,sk2(sk4)) greater_or_equal(sk1(u,sk4),u)*.
% 0.18/0.47 30[0:MRR:18.0,12.0] || -> in_environment(sk4,sk3(sk4))*.
% 0.18/0.47 31[0:MRR:23.0,13.0] || greater_or_equal(u,sk3(sk4)) subpopulations(first_movers,efficient_producers,sk4,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.18/0.47 37[1:Spt:21.0,21.2,21.4] || greater(u,sk2(sk4)) subpopulations(first_movers,efficient_producers,sk4,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.18/0.47 38[2:Spt:28.0,28.2] || in_environment(sk4,u) -> greater_or_equal(sk1(u,sk4),u)*.
% 0.18/0.47 39[3:Spt:27.0,27.2] || in_environment(sk4,u) -> subpopulations(first_movers,efficient_producers,sk4,sk1(u,sk4))*.
% 0.18/0.47 40[0:Res:30.0,2.1] environment(sk4) || -> in_environment(sk4,sk2(sk4)) greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))*.
% 0.18/0.47 41[0:Res:10.2,2.1] stable(u) environment(u) environment(u) || -> in_environment(u,sk2(u)) greater_or_equal(sk1(sk3(u),u),sk3(u))*.
% 0.18/0.47 42[0:SSi:40.0,13.0,12.0] || -> in_environment(sk4,sk2(sk4)) greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))*.
% 0.18/0.47 43[0:Obv:41.1] stable(u) environment(u) || -> in_environment(u,sk2(u)) greater_or_equal(sk1(sk3(u),u),sk3(u))*.
% 0.18/0.47 44[0:Res:31.2,25.1] || greater_or_equal(sk1(u,sk4),sk3(sk4)) subpopulations(first_movers,efficient_producers,sk4,sk1(u,sk4))* in_environment(sk4,u) -> in_environment(sk4,sk2(sk4)).
% 0.18/0.47 49[3:MRR:44.1,39.1] || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> in_environment(sk4,sk2(sk4)).
% 0.18/0.47 51[3:Res:42.1,49.0] || in_environment(sk4,sk3(sk4)) -> in_environment(sk4,sk2(sk4))* in_environment(sk4,sk2(sk4))*.
% 0.18/0.47 53[3:Obv:51.1] || in_environment(sk4,sk3(sk4)) -> in_environment(sk4,sk2(sk4))*.
% 0.18/0.47 54[3:MRR:53.0,30.0] || -> in_environment(sk4,sk2(sk4))*.
% 0.18/0.47 60[1:Res:37.2,16.1] || greater(sk5(u),sk2(sk4)) subpopulations(first_movers,efficient_producers,sk4,sk5(u)) in_environment(sk4,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.18/0.47 61[1:MRR:60.1,14.2] || greater(sk5(u),sk2(sk4)) in_environment(sk4,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.18/0.47 72[0:Res:15.2,5.2] environment(u) || in_environment(sk4,sk2(u))+ in_environment(u,v) -> greater(sk5(sk2(u)),sk2(u))* greater_or_equal(sk1(v,u),v)*.
% 0.18/0.47 101[3:Res:39.1,11.3] stable(sk4) environment(sk4) || in_environment(sk4,u) greater_or_equal(sk1(u,sk4),sk3(sk4)) -> greater(growth_rate(efficient_producers,sk1(u,sk4)),growth_rate(first_movers,sk1(u,sk4)))*.
% 0.18/0.47 102[0:Res:1.3,11.3] environment(u) stable(u) environment(u) || in_environment(u,v) greater_or_equal(sk1(v,u),sk3(u)) -> in_environment(u,sk2(u)) greater(growth_rate(efficient_producers,sk1(v,u)),growth_rate(first_movers,sk1(v,u)))*.
% 0.18/0.47 103[3:SSi:101.1,101.0,13.0,12.0,13.0,12.0] || in_environment(sk4,u) greater_or_equal(sk1(u,sk4),sk3(sk4)) -> greater(growth_rate(efficient_producers,sk1(u,sk4)),growth_rate(first_movers,sk1(u,sk4)))*.
% 0.18/0.47 104[0:Obv:102.0] stable(u) environment(u) || in_environment(u,v) greater_or_equal(sk1(v,u),sk3(u)) -> in_environment(u,sk2(u)) greater(growth_rate(efficient_producers,sk1(v,u)),growth_rate(first_movers,sk1(v,u)))*.
% 0.18/0.47 105[0:MRR:104.5,7.2] stable(u) environment(u) || in_environment(u,v) greater_or_equal(sk1(v,u),sk3(u))* -> in_environment(u,sk2(u)).
% 0.18/0.47 107[0:Res:43.3,105.3] stable(u) environment(u) stable(u) environment(u) || in_environment(u,sk3(u)) -> in_environment(u,sk2(u))* in_environment(u,sk2(u))*.
% 0.18/0.47 109[0:Obv:107.5] stable(u) environment(u) || in_environment(u,sk3(u)) -> in_environment(u,sk2(u))*.
% 0.18/0.47 110[0:MRR:109.2,10.2] stable(u) environment(u) || -> in_environment(u,sk2(u))*.
% 0.18/0.47 111[0:Res:110.2,72.1] stable(sk4) environment(sk4) environment(sk4) || in_environment(sk4,u) -> greater(sk5(sk2(sk4)),sk2(sk4))* greater_or_equal(sk1(u,sk4),u)*.
% 0.18/0.47 114[0:Obv:111.1] stable(sk4) environment(sk4) || in_environment(sk4,u) -> greater(sk5(sk2(sk4)),sk2(sk4))* greater_or_equal(sk1(u,sk4),u)*.
% 0.18/0.47 125[3:Res:103.2,8.3] environment(sk4) || in_environment(sk4,u) greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))* -> .
% 0.18/0.47 128[3:Obv:125.1] environment(sk4) || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))* -> .
% 0.18/0.47 129[3:SSi:128.0,13.0,12.0] || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))*+ -> .
% 0.18/0.47 135[3:Res:61.2,129.2] || greater(sk5(sk2(sk4)),sk2(sk4))* in_environment(sk4,sk2(sk4)) greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> .
% 0.18/0.47 138[3:Res:15.2,129.2] || in_environment(sk4,sk2(sk4)) greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> greater(sk5(sk2(sk4)),sk2(sk4))*.
% 0.18/0.47 140[3:MRR:138.0,54.0] || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> greater(sk5(sk2(sk4)),sk2(sk4))*.
% 0.18/0.47 142[3:MRR:135.1,54.0] || greater(sk5(sk2(sk4)),sk2(sk4))* greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> .
% 0.18/0.47 143[3:MRR:142.0,140.2] || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> .
% 0.18/0.47 144[3:Res:38.1,143.0] || in_environment(sk4,sk3(sk4))* in_environment(sk4,sk3(sk4))* -> .
% 0.18/0.47 145[3:Obv:144.0] || in_environment(sk4,sk3(sk4))* -> .
% 0.18/0.47 146[3:MRR:145.0,30.0] || -> .
% 0.18/0.47 147[3:Spt:146.0,27.1] || -> in_environment(sk4,sk2(sk4))*.
% 0.18/0.47 155[1:Res:61.2,24.1] || greater(sk5(sk2(sk4)),sk2(sk4)) in_environment(sk4,sk2(sk4)) in_environment(sk4,u) -> subpopulations(first_movers,efficient_producers,sk4,sk1(u,sk4))*.
% 0.18/0.47 158[0:Res:15.2,24.1] || in_environment(sk4,sk2(sk4)) in_environment(sk4,u) -> greater(sk5(sk2(sk4)),sk2(sk4)) subpopulations(first_movers,efficient_producers,sk4,sk1(u,sk4))*.
% 0.18/0.47 160[3:MRR:158.0,147.0] || in_environment(sk4,u) -> greater(sk5(sk2(sk4)),sk2(sk4)) subpopulations(first_movers,efficient_producers,sk4,sk1(u,sk4))*.
% 0.18/0.47 162[3:MRR:155.1,147.0] || greater(sk5(sk2(sk4)),sk2(sk4)) in_environment(sk4,u) -> subpopulations(first_movers,efficient_producers,sk4,sk1(u,sk4))*.
% 0.18/0.47 163[3:MRR:162.0,160.1] || in_environment(sk4,u) -> subpopulations(first_movers,efficient_producers,sk4,sk1(u,sk4))*.
% 0.18/0.47 166[3:Res:163.1,11.3] stable(sk4) environment(sk4) || in_environment(sk4,u) greater_or_equal(sk1(u,sk4),sk3(sk4)) -> greater(growth_rate(efficient_producers,sk1(u,sk4)),growth_rate(first_movers,sk1(u,sk4)))*.
% 0.18/0.47 168[3:SSi:166.1,166.0,13.0,12.0,13.0,12.0] || in_environment(sk4,u) greater_or_equal(sk1(u,sk4),sk3(sk4)) -> greater(growth_rate(efficient_producers,sk1(u,sk4)),growth_rate(first_movers,sk1(u,sk4)))*.
% 0.18/0.47 169[3:Res:168.2,8.3] environment(sk4) || in_environment(sk4,u) greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))* -> .
% 0.18/0.47 172[3:Obv:169.1] environment(sk4) || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))* -> .
% 0.18/0.47 173[3:SSi:172.0,13.0,12.0] || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))*+ -> .
% 0.18/0.47 179[3:Res:61.2,173.2] || greater(sk5(sk2(sk4)),sk2(sk4))* in_environment(sk4,sk2(sk4)) greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> .
% 0.18/0.47 182[3:Res:15.2,173.2] || in_environment(sk4,sk2(sk4)) greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> greater(sk5(sk2(sk4)),sk2(sk4))*.
% 0.18/0.47 184[3:MRR:182.0,147.0] || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> greater(sk5(sk2(sk4)),sk2(sk4))*.
% 0.18/0.47 186[3:MRR:179.1,147.0] || greater(sk5(sk2(sk4)),sk2(sk4))* greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> .
% 0.18/0.47 187[3:MRR:186.0,184.2] || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> .
% 0.18/0.47 188[3:Res:38.1,187.0] || in_environment(sk4,sk3(sk4))* in_environment(sk4,sk3(sk4))* -> .
% 0.18/0.47 189[3:Obv:188.0] || in_environment(sk4,sk3(sk4))* -> .
% 0.18/0.47 190[3:MRR:189.0,30.0] || -> .
% 0.18/0.47 191[2:Spt:190.0,28.1] || -> in_environment(sk4,sk2(sk4))*.
% 0.18/0.47 192[0:SSi:114.1,114.0,13.0,12.0,13.0,12.0] || in_environment(sk4,u)+ -> greater(sk5(sk2(sk4)),sk2(sk4))* greater_or_equal(sk1(u,sk4),u)*.
% 0.18/0.47 193[2:MRR:158.0,191.0] || in_environment(sk4,u) -> greater(sk5(sk2(sk4)),sk2(sk4)) subpopulations(first_movers,efficient_producers,sk4,sk1(u,sk4))*.
% 0.18/0.47 195[2:MRR:155.0,155.1,193.1,191.0] || in_environment(sk4,u) -> subpopulations(first_movers,efficient_producers,sk4,sk1(u,sk4))*.
% 0.18/0.47 200[2:Res:195.1,11.3] stable(sk4) environment(sk4) || in_environment(sk4,u) greater_or_equal(sk1(u,sk4),sk3(sk4)) -> greater(growth_rate(efficient_producers,sk1(u,sk4)),growth_rate(first_movers,sk1(u,sk4)))*.
% 0.18/0.47 203[2:SSi:200.1,200.0,13.0,12.0,13.0,12.0] || in_environment(sk4,u) greater_or_equal(sk1(u,sk4),sk3(sk4)) -> greater(growth_rate(efficient_producers,sk1(u,sk4)),growth_rate(first_movers,sk1(u,sk4)))*.
% 0.18/0.47 205[3:Spt:192.0,192.2] || in_environment(sk4,u) -> greater_or_equal(sk1(u,sk4),u)*.
% 0.18/0.47 206[2:Res:203.2,8.3] environment(sk4) || in_environment(sk4,u) greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))* -> .
% 0.18/0.47 209[2:Obv:206.1] environment(sk4) || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))* -> .
% 0.18/0.47 210[2:SSi:209.0,13.0,12.0] || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))*+ -> .
% 0.18/0.47 216[2:Res:61.2,210.2] || greater(sk5(sk2(sk4)),sk2(sk4))* in_environment(sk4,sk2(sk4)) greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> .
% 0.18/0.47 219[2:Res:15.2,210.2] || in_environment(sk4,sk2(sk4)) greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> greater(sk5(sk2(sk4)),sk2(sk4))*.
% 0.18/0.47 221[2:MRR:219.0,191.0] || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> greater(sk5(sk2(sk4)),sk2(sk4))*.
% 0.18/0.47 223[2:MRR:216.1,191.0] || greater(sk5(sk2(sk4)),sk2(sk4))* greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> .
% 0.18/0.47 224[2:MRR:223.0,221.2] || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> .
% 0.18/0.47 235[3:Res:205.1,224.0] || in_environment(sk4,sk3(sk4))* in_environment(sk4,sk3(sk4))* -> .
% 0.18/0.47 236[3:Obv:235.0] || in_environment(sk4,sk3(sk4))* -> .
% 0.18/0.47 237[3:MRR:236.0,30.0] || -> .
% 0.18/0.47 238[3:Spt:237.0,192.1] || -> greater(sk5(sk2(sk4)),sk2(sk4))*.
% 0.18/0.47 244[1:Res:61.2,26.1] || greater(sk5(sk2(sk4)),sk2(sk4))* in_environment(sk4,sk2(sk4)) in_environment(sk4,u) -> greater_or_equal(sk1(u,sk4),u)*.
% 0.18/0.47 250[3:MRR:244.0,244.1,238.0,191.0] || in_environment(sk4,u) -> greater_or_equal(sk1(u,sk4),u)*.
% 0.18/0.47 251[3:Res:250.1,224.0] || in_environment(sk4,sk3(sk4))* in_environment(sk4,sk3(sk4))* -> .
% 0.18/0.47 252[3:Obv:251.0] || in_environment(sk4,sk3(sk4))* -> .
% 0.18/0.47 253[3:MRR:252.0,30.0] || -> .
% 0.18/0.47 254[1:Spt:253.0,21.1,21.3] || in_environment(sk4,u) -> greater_or_equal(sk1(u,sk4),u)*.
% 0.18/0.47 262[2:Spt:20.1,20.4] || in_environment(sk4,u) -> subpopulations(first_movers,efficient_producers,sk4,sk1(u,sk4))*.
% 0.18/0.47 263[2:Res:262.1,11.3] stable(sk4) environment(sk4) || in_environment(sk4,u) greater_or_equal(sk1(u,sk4),sk3(sk4)) -> greater(growth_rate(efficient_producers,sk1(u,sk4)),growth_rate(first_movers,sk1(u,sk4)))*.
% 0.18/0.47 266[2:SSi:263.1,263.0,13.0,12.0,13.0,12.0] || in_environment(sk4,u) greater_or_equal(sk1(u,sk4),sk3(sk4)) -> greater(growth_rate(efficient_producers,sk1(u,sk4)),growth_rate(first_movers,sk1(u,sk4)))*.
% 0.18/0.47 267[3:Spt:42.0] || -> in_environment(sk4,sk2(sk4))*.
% 0.18/0.47 273[2:Res:266.2,9.3] environment(sk4) || in_environment(sk4,u) greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) greater(v,sk2(sk4)) subpopulations(first_movers,efficient_producers,sk4,v) -> greater(growth_rate(efficient_producers,v),growth_rate(first_movers,v))*.
% 0.18/0.47 274[2:Res:266.2,8.3] environment(sk4) || in_environment(sk4,u) greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))* -> .
% 0.18/0.47 277[2:Obv:274.1] environment(sk4) || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))* -> .
% 0.18/0.47 278[2:SSi:277.0,13.0,12.0] || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))*+ -> .
% 0.18/0.47 279[2:Obv:273.1] environment(sk4) || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) greater(v,sk2(sk4)) subpopulations(first_movers,efficient_producers,sk4,v) -> greater(growth_rate(efficient_producers,v),growth_rate(first_movers,v))*.
% 0.18/0.47 280[2:SSi:279.0,13.0,12.0] || greater_or_equal(sk1(u,sk4),sk3(sk4))*+ in_environment(sk4,u) greater(v,sk2(sk4)) subpopulations(first_movers,efficient_producers,sk4,v) -> greater(growth_rate(efficient_producers,v),growth_rate(first_movers,v))*.
% 0.18/0.47 287[2:Res:15.2,278.2] || in_environment(sk4,sk2(sk4)) greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> greater(sk5(sk2(sk4)),sk2(sk4))*.
% 0.18/0.47 288[3:MRR:287.0,267.0] || greater_or_equal(sk1(u,sk4),sk3(sk4))*+ in_environment(sk4,u) -> greater(sk5(sk2(sk4)),sk2(sk4))*.
% 0.18/0.47 294[3:Res:254.1,288.0] || in_environment(sk4,sk3(sk4)) in_environment(sk4,sk3(sk4)) -> greater(sk5(sk2(sk4)),sk2(sk4))*.
% 0.18/0.47 295[3:Obv:294.0] || in_environment(sk4,sk3(sk4)) -> greater(sk5(sk2(sk4)),sk2(sk4))*.
% 0.18/0.47 296[3:MRR:295.0,30.0] || -> greater(sk5(sk2(sk4)),sk2(sk4))*.
% 0.18/0.47 328[0:Res:31.2,22.2] || greater_or_equal(sk1(u,sk4),sk3(sk4)) subpopulations(first_movers,efficient_producers,sk4,sk1(u,sk4))* in_environment(sk4,u) greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))* -> .
% 0.18/0.47 412[2:Res:254.1,280.0] || in_environment(sk4,sk3(sk4)) in_environment(sk4,sk3(sk4)) greater(u,sk2(sk4)) subpopulations(first_movers,efficient_producers,sk4,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.18/0.47 413[2:Obv:412.0] || in_environment(sk4,sk3(sk4)) greater(u,sk2(sk4)) subpopulations(first_movers,efficient_producers,sk4,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.18/0.47 414[2:MRR:413.0,30.0] || greater(u,sk2(sk4)) subpopulations(first_movers,efficient_producers,sk4,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.18/0.47 415[2:Res:414.2,16.1] || greater(sk5(u),sk2(sk4)) subpopulations(first_movers,efficient_producers,sk4,sk5(u)) in_environment(sk4,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.18/0.47 428[2:MRR:415.1,14.2] || greater(sk5(u),sk2(sk4)) in_environment(sk4,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.18/0.47 438[2:Res:428.2,278.2] || greater(sk5(sk2(sk4)),sk2(sk4))* in_environment(sk4,sk2(sk4)) greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> .
% 0.18/0.47 443[3:MRR:438.0,438.1,296.0,267.0] || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> .
% 0.18/0.47 447[3:Res:254.1,443.0] || in_environment(sk4,sk3(sk4))* in_environment(sk4,sk3(sk4))* -> .
% 0.18/0.47 448[3:Obv:447.0] || in_environment(sk4,sk3(sk4))* -> .
% 0.18/0.47 449[3:MRR:448.0,30.0] || -> .
% 0.18/0.47 450[3:Spt:449.0,42.0,267.0] || in_environment(sk4,sk2(sk4))* -> .
% 0.18/0.47 451[3:Spt:449.0,42.1] || -> greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))*.
% 0.18/0.47 456[3:Res:110.2,450.0] stable(sk4) environment(sk4) || -> .
% 0.18/0.47 457[3:SSi:456.1,456.0,13.0,12.0,13.0,12.0] || -> .
% 0.18/0.47 458[2:Spt:457.0,20.0,20.2,20.3] || greater(u,sk2(sk4)) subpopulations(first_movers,efficient_producers,sk4,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.18/0.47 459[0:MRR:328.1,24.2] || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))*+ -> .
% 0.18/0.47 472[2:Res:458.2,16.1] || greater(sk5(u),sk2(sk4)) subpopulations(first_movers,efficient_producers,sk4,sk5(u)) in_environment(sk4,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.18/0.47 480[2:MRR:472.1,14.2] || greater(sk5(u),sk2(sk4)) in_environment(sk4,u) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u))*.
% 0.18/0.47 488[3:Spt:42.0] || -> in_environment(sk4,sk2(sk4))*.
% 0.18/0.47 517[2:Res:480.2,459.2] || greater(sk5(sk2(sk4)),sk2(sk4))* in_environment(sk4,sk2(sk4)) greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> .
% 0.18/0.47 525[0:Res:15.2,459.2] || in_environment(sk4,sk2(sk4)) greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> greater(sk5(sk2(sk4)),sk2(sk4))*.
% 0.18/0.47 526[3:MRR:525.0,488.0] || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> greater(sk5(sk2(sk4)),sk2(sk4))*.
% 0.18/0.47 529[3:MRR:517.1,488.0] || greater(sk5(sk2(sk4)),sk2(sk4))* greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> .
% 0.18/0.47 530[3:MRR:529.0,526.2] || greater_or_equal(sk1(u,sk4),sk3(sk4))* in_environment(sk4,u) -> .
% 0.18/0.47 531[3:Res:254.1,530.0] || in_environment(sk4,sk3(sk4))* in_environment(sk4,sk3(sk4))* -> .
% 0.18/0.47 532[3:Obv:531.0] || in_environment(sk4,sk3(sk4))* -> .
% 0.18/0.47 533[3:MRR:532.0,30.0] || -> .
% 0.18/0.47 534[3:Spt:533.0,42.0,488.0] || in_environment(sk4,sk2(sk4))* -> .
% 0.18/0.47 535[3:Spt:533.0,42.1] || -> greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))*.
% 0.18/0.47 540[3:Res:110.2,534.0] stable(sk4) environment(sk4) || -> .
% 0.18/0.47 541[3:SSi:540.1,540.0,13.0,12.0,13.0,12.0] || -> .
% 0.18/0.47 % SZS output end Refutation
% 0.18/0.47 Formulae used in the proof : mp_earliest_time_growth_rate_exceeds_1 mp_earliest_time_growth_rate_exceeds_2 mp_earliest_time_growth_rate_exceeds_3 mp_earliest_time_growth_rate_exceeds_4 mp_earliest_time_growth_rate_exceeds_5 mp_earliest_time_growth_rate_exceeds_6 mp_earliest_time_growth_rate_exceeds_7 mp_earliest_time_growth_rate_exceeds_8 mp_earliest_time_growth_rate_exceeds_9 l1_10 l1_11 prove_l12_12 prove_l12_13 prove_l12_14 prove_l12_15 prove_l12_16
% 0.18/0.47
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