TSTP Solution File: MGT029+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT029+1 : TPTP v8.1.0. Released v2.0.0.
% 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 22:26:16 EDT 2022
% Result : Theorem 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT029+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % 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 12:46:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.53
% 0.18/0.53 SPASS V 3.9
% 0.18/0.53 SPASS beiseite: Proof found.
% 0.18/0.53 % SZS status Theorem
% 0.18/0.53 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.53 SPASS derived 1045 clauses, backtracked 321 clauses, performed 19 splits and kept 640 clauses.
% 0.18/0.53 SPASS allocated 98500 KBytes.
% 0.18/0.53 SPASS spent 0:00:00.19 on the problem.
% 0.18/0.53 0:00:00.03 for the input.
% 0.18/0.53 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.53 0:00:00.02 for inferences.
% 0.18/0.53 0:00:00.00 for the backtracking.
% 0.18/0.53 0:00:00.07 for the reduction.
% 0.18/0.53
% 0.18/0.53
% 0.18/0.53 Here is a proof with depth 8, length 362 :
% 0.18/0.53 % SZS output start Refutation
% 0.18/0.53 1[0:Inp] || -> environment(skc1)*.
% 0.18/0.53 2[0:Inp] || -> stable(skc1)*.
% 0.18/0.53 3[0:Inp] || greater(u,v) -> greater_or_equal(u,v)*.
% 0.18/0.53 4[0:Inp] || equal(u,v) -> greater_or_equal(u,v)*.
% 0.18/0.53 5[0:Inp] || in_environment(skc1,u) -> greater_or_equal(skf3(u),u)*.
% 0.18/0.53 6[0:Inp] SkP0(u) || -> equal(growth_rate(first_movers,u),zero)**.
% 0.18/0.53 7[0:Inp] SkP0(u) || -> equal(growth_rate(efficient_producers,u),zero)**.
% 0.18/0.53 8[0:Inp] SkP1(u) || -> greater(growth_rate(first_movers,u),zero)*l.
% 0.18/0.53 9[0:Inp] SkP1(u) || -> greater(zero,growth_rate(efficient_producers,u))*r.
% 0.18/0.53 10[0:Inp] || in_environment(skc1,u) -> subpopulations(first_movers,efficient_producers,skc1,skf3(u))*.
% 0.18/0.53 11[0:Inp] || greater_or_equal(u,v)* -> equal(u,v) greater(u,v).
% 0.18/0.53 12[0:Inp] stable(u) environment(u) || -> in_environment(u,skf5(u))*.
% 0.18/0.53 13[0:Inp] stable(u) environment(u) || -> in_environment(u,skf6(u))*.
% 0.18/0.53 14[0:Inp] || greater(u,v)* greater(v,w)* -> greater(u,w)*.
% 0.18/0.53 15[0:Inp] stable(u) environment(u) || -> greater_or_equal(skf6(u),equilibrium(u))*.
% 0.18/0.53 16[0:Inp] || greater(zero,growth_rate(first_movers,skf3(u))) greater(growth_rate(efficient_producers,skf3(u)),zero)*l -> .
% 0.18/0.53 17[0:Inp] || in_environment(u,v)*+ in_environment(u,w)* -> greater(v,w)* equal(v,w) greater(w,v)*.
% 0.18/0.53 18[0:Inp] environment(u) || greater_or_equal(v,equilibrium(u)) subpopulations(first_movers,efficient_producers,u,v)* -> SkP0(v) SkP1(v) greater(zero,growth_rate(first_movers,v)).
% 0.18/0.53 19[0:Inp] environment(u) || greater_or_equal(v,equilibrium(u)) subpopulations(first_movers,efficient_producers,u,v)* -> SkP0(v) SkP1(v) greater(growth_rate(efficient_producers,v),zero).
% 0.18/0.53 20[0:Inp] stable(u) environment(u) || greater_or_equal(v,skf5(u)) subpopulations(first_movers,efficient_producers,u,v)* -> greater(growth_rate(efficient_producers,v),growth_rate(first_movers,v)).
% 0.18/0.53 22[0:Res:2.0,15.1] environment(skc1) || -> greater_or_equal(skf6(skc1),equilibrium(skc1))*.
% 0.18/0.53 23[0:Res:2.0,12.1] environment(skc1) || -> in_environment(skc1,skf5(skc1))*.
% 0.18/0.53 24[0:Res:2.0,13.1] environment(skc1) || -> in_environment(skc1,skf6(skc1))*.
% 0.18/0.53 25[0:Res:1.0,20.0] stable(skc1) || subpopulations(first_movers,efficient_producers,skc1,u)* greater_or_equal(u,skf5(skc1)) -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u)).
% 0.18/0.53 31[0:MRR:23.0,1.0] || -> in_environment(skc1,skf5(skc1))*.
% 0.18/0.53 32[0:MRR:24.0,1.0] || -> in_environment(skc1,skf6(skc1))*.
% 0.18/0.53 33[0:MRR:22.0,1.0] || -> greater_or_equal(skf6(skc1),equilibrium(skc1))*.
% 0.18/0.53 34[0:MRR:25.0,2.0] || greater_or_equal(u,skf5(skc1)) subpopulations(first_movers,efficient_producers,skc1,u)* -> greater(growth_rate(efficient_producers,u),growth_rate(first_movers,u)).
% 0.18/0.53 45[0:Res:33.0,11.0] || -> equal(skf6(skc1),equilibrium(skc1)) greater(skf6(skc1),equilibrium(skc1))*l.
% 0.18/0.53 46[0:Res:15.2,11.0] stable(u) environment(u) || -> equal(skf6(u),equilibrium(u)) greater(skf6(u),equilibrium(u))*l.
% 0.18/0.53 47[0:Res:5.1,11.0] || in_environment(skc1,u)* -> equal(skf3(u),u) greater(skf3(u),u).
% 0.18/0.53 48[1:Spt:45.0] || -> equal(skf6(skc1),equilibrium(skc1))**.
% 0.18/0.53 49[1:Rew:48.0,32.0] || -> in_environment(skc1,equilibrium(skc1))*.
% 0.18/0.53 54[0:SpL:7.1,16.1] SkP0(skf3(u)) || greater(zero,growth_rate(first_movers,skf3(u)))*r greater(zero,zero) -> .
% 0.18/0.53 55[0:Rew:6.1,54.1] SkP0(skf3(u)) || greater(zero,zero)* greater(zero,zero)* -> .
% 0.18/0.53 56[0:Obv:55.1] SkP0(skf3(u)) || greater(zero,zero)* -> .
% 0.18/0.53 58[0:Res:31.0,47.0] || -> equal(skf3(skf5(skc1)),skf5(skc1)) greater(skf3(skf5(skc1)),skf5(skc1))*l.
% 0.18/0.53 59[1:Res:49.0,47.0] || -> equal(skf3(equilibrium(skc1)),equilibrium(skc1)) greater(skf3(equilibrium(skc1)),equilibrium(skc1))*l.
% 0.18/0.53 60[0:Res:13.2,47.0] stable(skc1) environment(skc1) || -> equal(skf3(skf6(skc1)),skf6(skc1)) greater(skf3(skf6(skc1)),skf6(skc1))*l.
% 0.18/0.53 63[0:Res:31.0,17.0] || in_environment(skc1,u)* -> greater(skf5(skc1),u) equal(skf5(skc1),u) greater(u,skf5(skc1)).
% 0.18/0.53 64[1:Res:49.0,17.0] || in_environment(skc1,u)* -> greater(equilibrium(skc1),u) equal(equilibrium(skc1),u) greater(u,equilibrium(skc1)).
% 0.18/0.53 68[0:Res:10.1,34.1] || in_environment(skc1,u) greater_or_equal(skf3(u),skf5(skc1))* -> greater(growth_rate(efficient_producers,skf3(u)),growth_rate(first_movers,skf3(u))).
% 0.18/0.53 69[0:Res:10.1,19.2] environment(skc1) || in_environment(skc1,u) greater_or_equal(skf3(u),equilibrium(skc1))* -> SkP0(skf3(u)) SkP1(skf3(u)) greater(growth_rate(efficient_producers,skf3(u)),zero).
% 0.18/0.53 70[0:SSi:69.0,2.0,1.0] || in_environment(skc1,u) greater_or_equal(skf3(u),equilibrium(skc1))* -> SkP0(skf3(u)) SkP1(skf3(u)) greater(growth_rate(efficient_producers,skf3(u)),zero).
% 0.18/0.53 71[0:Res:3.1,68.1] || greater(skf3(u),skf5(skc1)) in_environment(skc1,u) -> greater(growth_rate(efficient_producers,skf3(u)),growth_rate(first_movers,skf3(u)))*l.
% 0.18/0.53 72[0:Res:4.1,68.1] || equal(skf3(u),skf5(skc1)) in_environment(skc1,u) -> greater(growth_rate(efficient_producers,skf3(u)),growth_rate(first_movers,skf3(u)))*l.
% 0.18/0.53 73[0:Res:5.1,68.1] || in_environment(skc1,skf5(skc1)) in_environment(skc1,skf5(skc1)) -> greater(growth_rate(efficient_producers,skf3(skf5(skc1))),growth_rate(first_movers,skf3(skf5(skc1))))*l.
% 0.18/0.53 74[0:Obv:73.0] || in_environment(skc1,skf5(skc1)) -> greater(growth_rate(efficient_producers,skf3(skf5(skc1))),growth_rate(first_movers,skf3(skf5(skc1))))*l.
% 0.18/0.53 75[0:MRR:74.0,31.0] || -> greater(growth_rate(efficient_producers,skf3(skf5(skc1))),growth_rate(first_movers,skf3(skf5(skc1))))*l.
% 0.18/0.53 76[0:SpR:7.1,75.0] SkP0(skf3(skf5(skc1))) || -> greater(zero,growth_rate(first_movers,skf3(skf5(skc1))))*r.
% 0.18/0.53 77[0:OCh:14.1,14.0,75.0,9.1] SkP1(skf3(skf5(skc1))) || -> greater(zero,growth_rate(first_movers,skf3(skf5(skc1))))*r.
% 0.18/0.53 78[0:NCh:14.2,14.0,75.0,16.1] || greater(zero,growth_rate(first_movers,skf3(skf5(skc1)))) greater(growth_rate(first_movers,skf3(skf5(skc1))),zero)*l -> .
% 0.18/0.53 79[0:NCh:14.2,14.0,75.0,16.1] || greater(zero,growth_rate(first_movers,skf3(skf5(skc1))))*r equal(growth_rate(first_movers,skf3(skf5(skc1))),zero) -> .
% 0.18/0.53 80[0:Rew:6.1,76.1] SkP0(skf3(skf5(skc1))) || -> greater(zero,zero)*.
% 0.18/0.53 81[0:MRR:80.1,56.1] SkP0(skf3(skf5(skc1))) || -> .
% 0.18/0.53 82[0:Res:10.1,18.2] environment(skc1) || in_environment(skc1,u) greater_or_equal(skf3(u),equilibrium(skc1))* -> SkP0(skf3(u)) SkP1(skf3(u)) greater(zero,growth_rate(first_movers,skf3(u))).
% 0.18/0.53 83[0:SSi:82.0,2.0,1.0] || in_environment(skc1,u) greater_or_equal(skf3(u),equilibrium(skc1))* -> SkP0(skf3(u)) SkP1(skf3(u)) greater(zero,growth_rate(first_movers,skf3(u))).
% 0.18/0.53 85[0:SpR:7.1,72.2] SkP0(skf3(u)) || equal(skf3(u),skf5(skc1)) in_environment(skc1,u) -> greater(zero,growth_rate(first_movers,skf3(u)))*r.
% 0.18/0.53 86[0:OCh:14.1,14.0,72.2,9.1] SkP1(skf3(u)) || equal(skf3(u),skf5(skc1)) in_environment(skc1,u) -> greater(zero,growth_rate(first_movers,skf3(u)))*r.
% 0.18/0.53 87[0:NCh:14.2,14.0,72.2,16.1] || equal(skf3(u),skf5(skc1)) in_environment(skc1,u) greater(zero,growth_rate(first_movers,skf3(u))) greater(growth_rate(first_movers,skf3(u)),zero)*l -> .
% 0.18/0.53 89[0:Rew:6.1,85.3] SkP0(skf3(u)) || equal(skf3(u),skf5(skc1)) in_environment(skc1,u)* -> greater(zero,zero).
% 0.18/0.53 90[0:MRR:89.3,56.1] SkP0(skf3(u)) || equal(skf3(u),skf5(skc1)) in_environment(skc1,u)* -> .
% 0.18/0.53 95[0:Res:8.1,78.1] SkP1(skf3(skf5(skc1))) || greater(zero,growth_rate(first_movers,skf3(skf5(skc1))))*r -> .
% 0.18/0.53 98[0:MRR:95.1,77.1] SkP1(skf3(skf5(skc1))) || -> .
% 0.18/0.53 100[0:Res:3.1,70.1] || greater(skf3(u),equilibrium(skc1)) in_environment(skc1,u) -> SkP0(skf3(u)) SkP1(skf3(u)) greater(growth_rate(efficient_producers,skf3(u)),zero)*l.
% 0.18/0.53 101[0:Res:4.1,70.1] || equal(skf3(u),equilibrium(skc1)) in_environment(skc1,u) -> SkP0(skf3(u)) SkP1(skf3(u)) greater(growth_rate(efficient_producers,skf3(u)),zero)*l.
% 0.18/0.53 102[0:Res:5.1,70.1] || in_environment(skc1,equilibrium(skc1)) in_environment(skc1,equilibrium(skc1)) -> SkP0(skf3(equilibrium(skc1))) SkP1(skf3(equilibrium(skc1))) greater(growth_rate(efficient_producers,skf3(equilibrium(skc1))),zero)*l.
% 0.18/0.53 103[0:Obv:102.0] || in_environment(skc1,equilibrium(skc1)) -> SkP0(skf3(equilibrium(skc1))) SkP1(skf3(equilibrium(skc1))) greater(growth_rate(efficient_producers,skf3(equilibrium(skc1))),zero)*l.
% 0.18/0.53 104[1:MRR:103.0,49.0] || -> SkP0(skf3(equilibrium(skc1))) SkP1(skf3(equilibrium(skc1))) greater(growth_rate(efficient_producers,skf3(equilibrium(skc1))),zero)*l.
% 0.18/0.53 106[1:Res:104.2,16.1] || greater(zero,growth_rate(first_movers,skf3(equilibrium(skc1))))*r -> SkP0(skf3(equilibrium(skc1))) SkP1(skf3(equilibrium(skc1))).
% 0.18/0.53 111[2:Spt:106.1] || -> SkP0(skf3(equilibrium(skc1)))*.
% 0.18/0.53 113[2:SoR:56.0,111.0] || greater(zero,zero)* -> .
% 0.18/0.53 116[0:Res:3.1,83.1] || greater(skf3(u),equilibrium(skc1)) in_environment(skc1,u) -> SkP0(skf3(u)) SkP1(skf3(u)) greater(zero,growth_rate(first_movers,skf3(u)))*r.
% 0.18/0.53 117[0:Res:4.1,83.1] || equal(skf3(u),equilibrium(skc1)) in_environment(skc1,u) -> SkP0(skf3(u)) SkP1(skf3(u)) greater(zero,growth_rate(first_movers,skf3(u)))*r.
% 0.18/0.53 118[0:Res:5.1,83.1] || in_environment(skc1,equilibrium(skc1)) in_environment(skc1,equilibrium(skc1)) -> SkP0(skf3(equilibrium(skc1))) SkP1(skf3(equilibrium(skc1))) greater(zero,growth_rate(first_movers,skf3(equilibrium(skc1))))*r.
% 0.18/0.53 119[0:Obv:118.0] || in_environment(skc1,equilibrium(skc1)) -> SkP0(skf3(equilibrium(skc1))) SkP1(skf3(equilibrium(skc1))) greater(zero,growth_rate(first_movers,skf3(equilibrium(skc1))))*r.
% 0.18/0.53 120[1:Res:31.0,64.0] || -> greater(equilibrium(skc1),skf5(skc1)) equal(skf5(skc1),equilibrium(skc1)) greater(skf5(skc1),equilibrium(skc1))*l.
% 0.18/0.53 124[3:Spt:120.1] || -> equal(skf5(skc1),equilibrium(skc1))**.
% 0.18/0.53 128[3:Rew:124.0,75.0] || -> greater(growth_rate(efficient_producers,skf3(equilibrium(skc1))),growth_rate(first_movers,skf3(equilibrium(skc1))))*l.
% 0.18/0.53 154[3:SpR:7.1,128.0] SkP0(skf3(equilibrium(skc1))) || -> greater(zero,growth_rate(first_movers,skf3(equilibrium(skc1))))*r.
% 0.18/0.53 158[3:Rew:6.1,154.1] SkP0(skf3(equilibrium(skc1))) || -> greater(zero,zero)*.
% 0.18/0.53 159[3:SSi:158.0,111.0] || -> greater(zero,zero)*.
% 0.18/0.53 160[3:MRR:159.0,113.0] || -> .
% 0.18/0.53 161[3:Spt:160.0,120.1,124.0] || equal(skf5(skc1),equilibrium(skc1))** -> .
% 0.18/0.53 162[3:Spt:160.0,120.0,120.2] || -> greater(equilibrium(skc1),skf5(skc1)) greater(skf5(skc1),equilibrium(skc1))*l.
% 0.18/0.53 171[4:Spt:58.0] || -> equal(skf3(skf5(skc1)),skf5(skc1))**.
% 0.18/0.53 172[4:Rew:171.0,75.0] || -> greater(growth_rate(efficient_producers,skf5(skc1)),growth_rate(first_movers,skf5(skc1)))*l.
% 0.18/0.53 173[4:Rew:171.0,78.0] || greater(zero,growth_rate(first_movers,skf5(skc1))) greater(growth_rate(first_movers,skf3(skf5(skc1))),zero)*l -> .
% 0.18/0.53 176[4:Rew:171.0,173.1] || greater(zero,growth_rate(first_movers,skf5(skc1))) greater(growth_rate(first_movers,skf5(skc1)),zero)*l -> .
% 0.18/0.53 180[4:SpL:171.0,16.1] || greater(zero,growth_rate(first_movers,skf3(skf5(skc1))))*r greater(growth_rate(efficient_producers,skf5(skc1)),zero) -> .
% 0.18/0.53 181[4:SpL:171.0,83.1] || in_environment(skc1,skf5(skc1)) greater_or_equal(skf5(skc1),equilibrium(skc1)) -> SkP0(skf3(skf5(skc1))) SkP1(skf3(skf5(skc1))) greater(zero,growth_rate(first_movers,skf3(skf5(skc1))))*r.
% 0.18/0.53 182[4:SpL:171.0,70.1] || in_environment(skc1,skf5(skc1)) greater_or_equal(skf5(skc1),equilibrium(skc1)) -> SkP0(skf3(skf5(skc1))) SkP1(skf3(skf5(skc1))) greater(growth_rate(efficient_producers,skf3(skf5(skc1))),zero)*l.
% 0.18/0.53 185[4:Rew:171.0,180.0] || greater(zero,growth_rate(first_movers,skf5(skc1))) greater(growth_rate(efficient_producers,skf5(skc1)),zero)*l -> .
% 0.18/0.53 186[4:Rew:171.0,182.4,171.0,182.3,171.0,182.2] || in_environment(skc1,skf5(skc1)) greater_or_equal(skf5(skc1),equilibrium(skc1))* -> SkP0(skf5(skc1)) SkP1(skf5(skc1)) greater(growth_rate(efficient_producers,skf5(skc1)),zero).
% 0.18/0.53 187[4:MRR:186.0,31.0] || greater_or_equal(skf5(skc1),equilibrium(skc1))* -> SkP0(skf5(skc1)) SkP1(skf5(skc1)) greater(growth_rate(efficient_producers,skf5(skc1)),zero).
% 0.18/0.53 188[4:Rew:171.0,181.4,171.0,181.3,171.0,181.2] || in_environment(skc1,skf5(skc1)) greater_or_equal(skf5(skc1),equilibrium(skc1))* -> SkP0(skf5(skc1)) SkP1(skf5(skc1)) greater(zero,growth_rate(first_movers,skf5(skc1))).
% 0.18/0.53 189[4:MRR:188.0,31.0] || greater_or_equal(skf5(skc1),equilibrium(skc1))* -> SkP0(skf5(skc1)) SkP1(skf5(skc1)) greater(zero,growth_rate(first_movers,skf5(skc1))).
% 0.18/0.53 198[4:SpR:7.1,172.0] SkP0(skf5(skc1)) || -> greater(zero,growth_rate(first_movers,skf5(skc1)))*r.
% 0.18/0.53 199[4:OCh:14.1,14.0,172.0,9.1] SkP1(skf5(skc1)) || -> greater(zero,growth_rate(first_movers,skf5(skc1)))*r.
% 0.18/0.53 200[4:Rew:6.1,198.1] SkP0(skf5(skc1)) || -> greater(zero,zero)*.
% 0.18/0.53 201[4:MRR:200.1,113.0] SkP0(skf5(skc1)) || -> .
% 0.18/0.53 202[4:MRR:187.1,201.0] || greater_or_equal(skf5(skc1),equilibrium(skc1))* -> SkP1(skf5(skc1)) greater(growth_rate(efficient_producers,skf5(skc1)),zero).
% 0.18/0.53 203[4:MRR:189.1,201.0] || greater_or_equal(skf5(skc1),equilibrium(skc1))* -> SkP1(skf5(skc1)) greater(zero,growth_rate(first_movers,skf5(skc1))).
% 0.18/0.53 204[4:MRR:203.1,199.0] || greater_or_equal(skf5(skc1),equilibrium(skc1))* -> greater(zero,growth_rate(first_movers,skf5(skc1))).
% 0.18/0.53 210[5:Spt:59.0] || -> equal(skf3(equilibrium(skc1)),equilibrium(skc1))**.
% 0.18/0.53 211[5:Rew:210.0,111.0] || -> SkP0(equilibrium(skc1))*.
% 0.18/0.53 214[5:SpR:210.0,10.1] || in_environment(skc1,equilibrium(skc1)) -> subpopulations(first_movers,efficient_producers,skc1,equilibrium(skc1))*.
% 0.18/0.53 219[5:MRR:214.0,49.0] || -> subpopulations(first_movers,efficient_producers,skc1,equilibrium(skc1))*.
% 0.18/0.53 223[5:Res:219.0,34.1] || greater_or_equal(equilibrium(skc1),skf5(skc1))* -> greater(growth_rate(efficient_producers,equilibrium(skc1)),growth_rate(first_movers,equilibrium(skc1))).
% 0.18/0.53 234[4:Res:3.1,204.0] || greater(skf5(skc1),equilibrium(skc1)) -> greater(zero,growth_rate(first_movers,skf5(skc1)))*r.
% 0.18/0.53 237[6:Spt:202.1] || -> SkP1(skf5(skc1))*.
% 0.18/0.53 238[6:MRR:199.0,237.0] || -> greater(zero,growth_rate(first_movers,skf5(skc1)))*r.
% 0.18/0.53 254[6:OCh:14.1,14.0,238.0,8.1] SkP1(skf5(skc1)) || -> greater(zero,zero)*.
% 0.18/0.53 255[6:SSi:254.0,237.0] || -> greater(zero,zero)*.
% 0.18/0.53 256[6:MRR:255.0,113.0] || -> .
% 0.18/0.53 257[6:Spt:256.0,202.1,237.0] || SkP1(skf5(skc1))* -> .
% 0.18/0.53 258[6:Spt:256.0,202.0,202.2] || greater_or_equal(skf5(skc1),equilibrium(skc1))* -> greater(growth_rate(efficient_producers,skf5(skc1)),zero).
% 0.18/0.53 259[6:Res:3.1,258.0] || greater(skf5(skc1),equilibrium(skc1)) -> greater(growth_rate(efficient_producers,skf5(skc1)),zero)*l.
% 0.18/0.53 268[5:Res:3.1,223.0] || greater(equilibrium(skc1),skf5(skc1)) -> greater(growth_rate(efficient_producers,equilibrium(skc1)),growth_rate(first_movers,equilibrium(skc1)))*l.
% 0.18/0.53 280[0:Res:101.4,16.1] || equal(skf3(u),equilibrium(skc1)) in_environment(skc1,u) greater(zero,growth_rate(first_movers,skf3(u)))*r -> SkP0(skf3(u)) SkP1(skf3(u)).
% 0.18/0.53 284[0:MRR:280.2,117.4] || equal(skf3(u),equilibrium(skc1)) in_environment(skc1,u) -> SkP0(skf3(u))* SkP1(skf3(u)).
% 0.18/0.53 287[0:SoR:81.0,284.2] || in_environment(skc1,skf5(skc1)) equal(skf3(skf5(skc1)),equilibrium(skc1)) -> SkP1(skf3(skf5(skc1)))*.
% 0.18/0.53 312[4:Res:8.1,176.1] SkP1(skf5(skc1)) || greater(zero,growth_rate(first_movers,skf5(skc1)))*r -> .
% 0.18/0.53 315[4:MRR:312.1,199.1] SkP1(skf5(skc1)) || -> .
% 0.18/0.53 318[6:Res:259.1,185.1] || greater(skf5(skc1),equilibrium(skc1)) greater(zero,growth_rate(first_movers,skf5(skc1)))*r -> .
% 0.18/0.53 323[6:MRR:318.1,234.1] || greater(skf5(skc1),equilibrium(skc1))*l -> .
% 0.18/0.53 324[6:MRR:162.1,323.0] || -> greater(equilibrium(skc1),skf5(skc1))*r.
% 0.18/0.53 325[6:MRR:268.0,324.0] || -> greater(growth_rate(efficient_producers,equilibrium(skc1)),growth_rate(first_movers,equilibrium(skc1)))*l.
% 0.18/0.53 330[0:Res:100.4,16.1] || greater(skf3(u),equilibrium(skc1)) in_environment(skc1,u) greater(zero,growth_rate(first_movers,skf3(u)))*r -> SkP0(skf3(u)) SkP1(skf3(u)).
% 0.18/0.53 334[0:MRR:330.2,116.4] || greater(skf3(u),equilibrium(skc1)) in_environment(skc1,u) -> SkP0(skf3(u))* SkP1(skf3(u)).
% 0.18/0.53 336[6:SpR:7.1,325.0] SkP0(equilibrium(skc1)) || -> greater(zero,growth_rate(first_movers,equilibrium(skc1)))*r.
% 0.18/0.53 340[6:Rew:6.1,336.1] SkP0(equilibrium(skc1)) || -> greater(zero,zero)*.
% 0.18/0.53 341[6:SSi:340.0,211.0] || -> greater(zero,zero)*.
% 0.18/0.53 342[6:MRR:341.0,113.0] || -> .
% 0.18/0.53 343[5:Spt:342.0,59.0,210.0] || equal(skf3(equilibrium(skc1)),equilibrium(skc1))** -> .
% 0.18/0.53 344[5:Spt:342.0,59.1] || -> greater(skf3(equilibrium(skc1)),equilibrium(skc1))*l.
% 0.18/0.53 345[4:MRR:202.1,315.0] || greater_or_equal(skf5(skc1),equilibrium(skc1))* -> greater(growth_rate(efficient_producers,skf5(skc1)),zero).
% 0.18/0.53 348[4:Res:3.1,345.0] || greater(skf5(skc1),equilibrium(skc1)) -> greater(growth_rate(efficient_producers,skf5(skc1)),zero)*l.
% 0.18/0.53 352[6:Spt:162.1] || -> greater(skf5(skc1),equilibrium(skc1))*l.
% 0.18/0.53 354[6:MRR:234.0,352.0] || -> greater(zero,growth_rate(first_movers,skf5(skc1)))*r.
% 0.18/0.53 355[6:MRR:348.0,352.0] || -> greater(growth_rate(efficient_producers,skf5(skc1)),zero)*l.
% 0.18/0.53 357[6:MRR:185.0,354.0] || greater(growth_rate(efficient_producers,skf5(skc1)),zero)*l -> .
% 0.18/0.53 358[6:MRR:357.0,355.0] || -> .
% 0.18/0.53 359[6:Spt:358.0,162.1,352.0] || greater(skf5(skc1),equilibrium(skc1))*l -> .
% 0.18/0.53 360[6:Spt:358.0,162.0] || -> greater(equilibrium(skc1),skf5(skc1))*r.
% 0.18/0.53 367[0:SoR:90.0,334.2] || equal(skf3(u),skf5(skc1)) in_environment(skc1,u) in_environment(skc1,u) greater(skf3(u),equilibrium(skc1)) -> SkP1(skf3(u))*.
% 0.18/0.53 368[0:SoR:81.0,334.2] || in_environment(skc1,skf5(skc1)) greater(skf3(skf5(skc1)),equilibrium(skc1)) -> SkP1(skf3(skf5(skc1)))*.
% 0.18/0.53 372[0:Obv:367.1] || equal(skf3(u),skf5(skc1)) in_environment(skc1,u) greater(skf3(u),equilibrium(skc1)) -> SkP1(skf3(u))*.
% 0.18/0.53 403[0:SpR:7.1,71.2] SkP0(skf3(u)) || greater(skf3(u),skf5(skc1)) in_environment(skc1,u) -> greater(zero,growth_rate(first_movers,skf3(u)))*r.
% 0.18/0.53 404[0:OCh:14.1,14.0,71.2,9.1] SkP1(skf3(u)) || greater(skf3(u),skf5(skc1)) in_environment(skc1,u) -> greater(zero,growth_rate(first_movers,skf3(u)))*r.
% 0.18/0.53 405[0:NCh:14.2,14.0,71.2,16.1] || greater(skf3(u),skf5(skc1)) in_environment(skc1,u) greater(zero,growth_rate(first_movers,skf3(u))) greater(growth_rate(first_movers,skf3(u)),zero)*l -> .
% 0.18/0.53 407[0:Rew:6.1,403.3] SkP0(skf3(u)) || greater(skf3(u),skf5(skc1)) in_environment(skc1,u)* -> greater(zero,zero).
% 0.18/0.53 408[2:MRR:407.3,113.0] SkP0(skf3(u)) || greater(skf3(u),skf5(skc1)) in_environment(skc1,u)* -> .
% 0.18/0.53 409[2:SoR:408.0,111.0] || greater(skf3(equilibrium(skc1)),skf5(skc1)) in_environment(skc1,equilibrium(skc1))* -> .
% 0.18/0.53 412[2:MRR:409.1,49.0] || greater(skf3(equilibrium(skc1)),skf5(skc1))*l -> .
% 0.18/0.53 415[5:NCh:14.2,14.0,412.0,344.0] || greater(equilibrium(skc1),skf5(skc1))*r -> .
% 0.18/0.53 417[6:MRR:415.0,360.0] || -> .
% 0.18/0.53 418[4:Spt:417.0,58.0,171.0] || equal(skf3(skf5(skc1)),skf5(skc1))** -> .
% 0.18/0.53 419[4:Spt:417.0,58.1] || -> greater(skf3(skf5(skc1)),skf5(skc1))*l.
% 0.18/0.53 420[0:MRR:287.0,287.2,31.0,98.0] || equal(skf3(skf5(skc1)),equilibrium(skc1))** -> .
% 0.18/0.53 421[0:MRR:368.0,368.2,31.0,98.0] || greater(skf3(skf5(skc1)),equilibrium(skc1))*l -> .
% 0.18/0.53 423[5:Spt:59.0] || -> equal(skf3(equilibrium(skc1)),equilibrium(skc1))**.
% 0.18/0.53 426[5:Rew:423.0,412.0] || greater(equilibrium(skc1),skf5(skc1))*r -> .
% 0.18/0.53 427[5:MRR:162.0,426.0] || -> greater(skf5(skc1),equilibrium(skc1))*l.
% 0.18/0.53 462[4:NCh:14.2,14.0,421.0,419.0] || greater(skf5(skc1),equilibrium(skc1))*l -> .
% 0.18/0.53 464[5:MRR:462.0,427.0] || -> .
% 0.18/0.53 465[5:Spt:464.0,59.0,423.0] || equal(skf3(equilibrium(skc1)),equilibrium(skc1))** -> .
% 0.18/0.53 466[5:Spt:464.0,59.1] || -> greater(skf3(equilibrium(skc1)),equilibrium(skc1))*l.
% 0.18/0.53 467[4:MRR:162.1,462.0] || -> greater(equilibrium(skc1),skf5(skc1))*r.
% 0.18/0.53 472[5:NCh:14.2,14.0,412.0,466.0] || greater(equilibrium(skc1),skf5(skc1))*r -> .
% 0.18/0.53 474[5:MRR:472.0,467.0] || -> .
% 0.18/0.53 475[2:Spt:474.0,106.1,111.0] || SkP0(skf3(equilibrium(skc1)))* -> .
% 0.18/0.53 476[2:Spt:474.0,106.0,106.2] || greater(zero,growth_rate(first_movers,skf3(equilibrium(skc1))))*r -> SkP1(skf3(equilibrium(skc1))).
% 0.18/0.53 478[1:MRR:119.0,49.0] || -> SkP0(skf3(equilibrium(skc1))) SkP1(skf3(equilibrium(skc1))) greater(zero,growth_rate(first_movers,skf3(equilibrium(skc1))))*r.
% 0.18/0.53 479[2:MRR:478.0,478.2,475.0,476.0] || -> SkP1(skf3(equilibrium(skc1)))*.
% 0.18/0.53 480[0:MRR:407.3,56.1] SkP0(skf3(u)) || greater(skf3(u),skf5(skc1)) in_environment(skc1,u)* -> .
% 0.18/0.53 497[3:Spt:59.0] || -> equal(skf3(equilibrium(skc1)),equilibrium(skc1))**.
% 0.18/0.53 498[3:Rew:497.0,479.0] || -> SkP1(equilibrium(skc1))*.
% 0.18/0.53 504[3:SpR:497.0,71.2] || greater(skf3(equilibrium(skc1)),skf5(skc1)) in_environment(skc1,equilibrium(skc1)) -> greater(growth_rate(efficient_producers,equilibrium(skc1)),growth_rate(first_movers,equilibrium(skc1)))*l.
% 0.18/0.53 511[3:SpL:497.0,16.1] || greater(zero,growth_rate(first_movers,skf3(equilibrium(skc1))))*r greater(growth_rate(efficient_producers,equilibrium(skc1)),zero) -> .
% 0.18/0.53 519[3:Rew:497.0,511.0] || greater(zero,growth_rate(first_movers,equilibrium(skc1))) greater(growth_rate(efficient_producers,equilibrium(skc1)),zero)*l -> .
% 0.18/0.53 526[3:Rew:497.0,504.0] || greater(equilibrium(skc1),skf5(skc1)) in_environment(skc1,equilibrium(skc1)) -> greater(growth_rate(efficient_producers,equilibrium(skc1)),growth_rate(first_movers,equilibrium(skc1)))*l.
% 0.18/0.53 527[3:MRR:526.1,49.0] || greater(equilibrium(skc1),skf5(skc1)) -> greater(growth_rate(efficient_producers,equilibrium(skc1)),growth_rate(first_movers,equilibrium(skc1)))*l.
% 0.18/0.53 528[4:Spt:58.0] || -> equal(skf3(skf5(skc1)),skf5(skc1))**.
% 0.18/0.53 529[4:Rew:528.0,420.0] || equal(skf5(skc1),equilibrium(skc1))** -> .
% 0.18/0.53 531[4:Rew:528.0,421.0] || greater(skf5(skc1),equilibrium(skc1))*l -> .
% 0.18/0.53 534[4:MRR:120.1,529.0] || -> greater(equilibrium(skc1),skf5(skc1)) greater(skf5(skc1),equilibrium(skc1))*l.
% 0.18/0.53 536[4:MRR:534.1,531.0] || -> greater(equilibrium(skc1),skf5(skc1))*r.
% 0.18/0.53 537[4:MRR:527.0,536.0] || -> greater(growth_rate(efficient_producers,equilibrium(skc1)),growth_rate(first_movers,equilibrium(skc1)))*l.
% 0.18/0.53 584[4:OCh:14.1,14.0,537.0,9.1] SkP1(equilibrium(skc1)) || -> greater(zero,growth_rate(first_movers,equilibrium(skc1)))*r.
% 0.18/0.53 586[4:SSi:584.0,498.0] || -> greater(zero,growth_rate(first_movers,equilibrium(skc1)))*r.
% 0.18/0.53 587[4:MRR:519.0,586.0] || greater(growth_rate(efficient_producers,equilibrium(skc1)),zero)*l -> .
% 0.18/0.53 589[4:NCh:14.2,14.0,587.0,537.0] || greater(growth_rate(first_movers,equilibrium(skc1)),zero)*l -> .
% 0.18/0.53 595[4:OCh:14.1,14.0,586.0,8.1] SkP1(equilibrium(skc1)) || -> greater(zero,zero)*.
% 0.18/0.53 596[4:SSi:595.0,498.0] || -> greater(zero,zero)*.
% 0.18/0.53 616[4:NCh:14.2,14.0,589.0,8.1] SkP1(equilibrium(skc1)) || greater(zero,zero)* -> .
% 0.18/0.53 621[4:SSi:616.0,498.0] || greater(zero,zero)* -> .
% 0.18/0.53 622[4:MRR:621.0,596.0] || -> .
% 0.18/0.53 623[4:Spt:622.0,58.0,528.0] || equal(skf3(skf5(skc1)),skf5(skc1))** -> .
% 0.18/0.53 624[4:Spt:622.0,58.1] || -> greater(skf3(skf5(skc1)),skf5(skc1))*l.
% 0.18/0.53 625[4:NCh:14.2,14.0,421.0,624.0] || greater(skf5(skc1),equilibrium(skc1))*l -> .
% 0.18/0.53 626[4:NCh:14.2,14.0,421.0,624.0] || equal(skf5(skc1),equilibrium(skc1))** -> .
% 0.18/0.53 627[4:MRR:120.1,626.0] || -> greater(equilibrium(skc1),skf5(skc1)) greater(skf5(skc1),equilibrium(skc1))*l.
% 0.18/0.53 628[4:MRR:627.1,625.0] || -> greater(equilibrium(skc1),skf5(skc1))*r.
% 0.18/0.53 629[4:MRR:527.0,628.0] || -> greater(growth_rate(efficient_producers,equilibrium(skc1)),growth_rate(first_movers,equilibrium(skc1)))*l.
% 0.18/0.53 631[4:OCh:14.1,14.0,629.0,9.1] SkP1(equilibrium(skc1)) || -> greater(zero,growth_rate(first_movers,equilibrium(skc1)))*r.
% 0.18/0.53 633[4:SSi:631.0,498.0] || -> greater(zero,growth_rate(first_movers,equilibrium(skc1)))*r.
% 0.18/0.53 634[4:MRR:519.0,633.0] || greater(growth_rate(efficient_producers,equilibrium(skc1)),zero)*l -> .
% 0.18/0.53 636[4:OCh:14.1,14.0,633.0,8.1] SkP1(equilibrium(skc1)) || -> greater(zero,zero)*.
% 0.18/0.53 637[4:SSi:636.0,498.0] || -> greater(zero,zero)*.
% 0.18/0.53 653[4:NCh:14.2,14.0,634.0,629.0] || greater(growth_rate(first_movers,equilibrium(skc1)),zero)*l -> .
% 0.18/0.53 660[4:NCh:14.2,14.0,653.0,8.1] SkP1(equilibrium(skc1)) || greater(zero,zero)* -> .
% 0.18/0.53 665[4:SSi:660.0,498.0] || greater(zero,zero)* -> .
% 0.18/0.53 666[4:MRR:665.0,637.0] || -> .
% 0.18/0.53 667[3:Spt:666.0,59.0,497.0] || equal(skf3(equilibrium(skc1)),equilibrium(skc1))** -> .
% 0.18/0.53 668[3:Spt:666.0,59.1] || -> greater(skf3(equilibrium(skc1)),equilibrium(skc1))*l.
% 0.18/0.53 680[4:Spt:58.0] || -> equal(skf3(skf5(skc1)),skf5(skc1))**.
% 0.18/0.53 681[4:Rew:680.0,420.0] || equal(skf5(skc1),equilibrium(skc1))** -> .
% 0.18/0.53 682[4:Rew:680.0,421.0] || greater(skf5(skc1),equilibrium(skc1))*l -> .
% 0.18/0.53 686[4:MRR:120.1,681.0] || -> greater(equilibrium(skc1),skf5(skc1)) greater(skf5(skc1),equilibrium(skc1))*l.
% 0.18/0.53 688[4:MRR:686.1,682.0] || -> greater(equilibrium(skc1),skf5(skc1))*r.
% 0.18/0.53 746[0:SoR:480.0,334.2] || greater(skf3(u),skf5(skc1)) in_environment(skc1,u) in_environment(skc1,u) greater(skf3(u),equilibrium(skc1)) -> SkP1(skf3(u))*.
% 0.18/0.53 748[0:Obv:746.1] || greater(skf3(u),skf5(skc1)) in_environment(skc1,u) greater(skf3(u),equilibrium(skc1)) -> SkP1(skf3(u))*.
% 0.18/0.53 1016[0:Res:8.1,87.3] SkP1(skf3(u)) || equal(skf3(u),skf5(skc1)) in_environment(skc1,u) greater(zero,growth_rate(first_movers,skf3(u)))*r -> .
% 0.18/0.53 1019[0:MRR:1016.3,86.3] SkP1(skf3(u)) || equal(skf3(u),skf5(skc1)) in_environment(skc1,u)* -> .
% 0.18/0.53 1074[0:Res:8.1,405.3] SkP1(skf3(u)) || greater(skf3(u),skf5(skc1)) in_environment(skc1,u) greater(zero,growth_rate(first_movers,skf3(u)))*r -> .
% 0.18/0.53 1077[0:MRR:1074.3,404.3] SkP1(skf3(u)) || greater(skf3(u),skf5(skc1)) in_environment(skc1,u)* -> .
% 0.18/0.53 1080[2:SoR:1077.0,479.0] || greater(skf3(equilibrium(skc1)),skf5(skc1)) in_environment(skc1,equilibrium(skc1))* -> .
% 0.18/0.53 1083[2:MRR:1080.1,49.0] || greater(skf3(equilibrium(skc1)),skf5(skc1))*l -> .
% 0.18/0.53 1086[3:NCh:14.2,14.0,1083.0,668.0] || greater(equilibrium(skc1),skf5(skc1))*r -> .
% 0.18/0.53 1087[3:NCh:14.2,14.0,1083.0,668.0] || equal(skf5(skc1),equilibrium(skc1))** -> .
% 0.18/0.53 1088[4:MRR:1086.0,688.0] || -> .
% 0.18/0.53 1089[4:Spt:1088.0,58.0,680.0] || equal(skf3(skf5(skc1)),skf5(skc1))** -> .
% 0.18/0.53 1090[4:Spt:1088.0,58.1] || -> greater(skf3(skf5(skc1)),skf5(skc1))*l.
% 0.18/0.53 1092[0:MRR:372.3,1019.0] || equal(skf3(u),skf5(skc1)) in_environment(skc1,u)* greater(skf3(u),equilibrium(skc1)) -> .
% 0.18/0.53 1094[3:MRR:120.0,120.1,1086.0,1087.0] || -> greater(skf5(skc1),equilibrium(skc1))*l.
% 0.18/0.53 1095[0:MRR:748.3,1077.0] || greater(skf3(u),skf5(skc1)) in_environment(skc1,u)* greater(skf3(u),equilibrium(skc1)) -> .
% 0.18/0.53 1096[4:NCh:14.2,14.0,421.0,1090.0] || greater(skf5(skc1),equilibrium(skc1))*l -> .
% 0.18/0.53 1098[4:MRR:1096.0,1094.0] || -> .
% 0.18/0.53 1099[1:Spt:1098.0,45.0,48.0] || equal(skf6(skc1),equilibrium(skc1))** -> .
% 0.18/0.53 1100[1:Spt:1098.0,45.1] || -> greater(skf6(skc1),equilibrium(skc1))*l.
% 0.18/0.53 1101[0:SSi:60.1,60.0,2.0,1.0,2.0,1.0] || -> equal(skf3(skf6(skc1)),skf6(skc1)) greater(skf3(skf6(skc1)),skf6(skc1))*l.
% 0.18/0.53 1104[0:Res:32.0,63.0] || -> greater(skf5(skc1),skf6(skc1)) equal(skf6(skc1),skf5(skc1)) greater(skf6(skc1),skf5(skc1))*l.
% 0.18/0.53 1130[2:Spt:58.0] || -> equal(skf3(skf5(skc1)),skf5(skc1))**.
% 0.18/0.53 1132[2:Rew:1130.0,421.0] || greater(skf5(skc1),equilibrium(skc1))*l -> .
% 0.18/0.53 1133[2:Rew:1130.0,75.0] || -> greater(growth_rate(efficient_producers,skf5(skc1)),growth_rate(first_movers,skf5(skc1)))*l.
% 0.18/0.53 1134[2:Rew:1130.0,78.0] || greater(zero,growth_rate(first_movers,skf5(skc1))) greater(growth_rate(first_movers,skf3(skf5(skc1))),zero)*l -> .
% 0.18/0.53 1135[2:Rew:1130.0,79.0] || greater(zero,growth_rate(first_movers,skf5(skc1))) equal(growth_rate(first_movers,skf3(skf5(skc1))),zero)** -> .
% 0.18/0.53 1136[2:Rew:1130.0,1135.1] || greater(zero,growth_rate(first_movers,skf5(skc1)))*r equal(growth_rate(first_movers,skf5(skc1)),zero) -> .
% 0.18/0.53 1137[2:Rew:1130.0,1134.1] || greater(zero,growth_rate(first_movers,skf5(skc1))) greater(growth_rate(first_movers,skf5(skc1)),zero)*l -> .
% 0.18/0.53 1148[2:SpL:1130.0,16.1] || greater(zero,growth_rate(first_movers,skf3(skf5(skc1))))*r greater(growth_rate(efficient_producers,skf5(skc1)),zero) -> .
% 0.18/0.53 1150[2:SpL:1130.0,83.1] || in_environment(skc1,skf5(skc1)) greater_or_equal(skf5(skc1),equilibrium(skc1)) -> SkP0(skf3(skf5(skc1))) SkP1(skf3(skf5(skc1))) greater(zero,growth_rate(first_movers,skf3(skf5(skc1))))*r.
% 0.18/0.53 1151[2:SpL:1130.0,70.1] || in_environment(skc1,skf5(skc1)) greater_or_equal(skf5(skc1),equilibrium(skc1)) -> SkP0(skf3(skf5(skc1))) SkP1(skf3(skf5(skc1))) greater(growth_rate(efficient_producers,skf3(skf5(skc1))),zero)*l.
% 0.18/0.53 1155[2:Rew:1130.0,1148.0] || greater(zero,growth_rate(first_movers,skf5(skc1))) greater(growth_rate(efficient_producers,skf5(skc1)),zero)*l -> .
% 0.18/0.53 1157[2:Rew:1130.0,1151.4,1130.0,1151.3,1130.0,1151.2] || in_environment(skc1,skf5(skc1)) greater_or_equal(skf5(skc1),equilibrium(skc1))* -> SkP0(skf5(skc1)) SkP1(skf5(skc1)) greater(growth_rate(efficient_producers,skf5(skc1)),zero).
% 0.18/0.53 1158[2:MRR:1157.0,31.0] || greater_or_equal(skf5(skc1),equilibrium(skc1))* -> SkP0(skf5(skc1)) SkP1(skf5(skc1)) greater(growth_rate(efficient_producers,skf5(skc1)),zero).
% 0.18/0.53 1159[2:Rew:1130.0,1150.4,1130.0,1150.3,1130.0,1150.2] || in_environment(skc1,skf5(skc1)) greater_or_equal(skf5(skc1),equilibrium(skc1))* -> SkP0(skf5(skc1)) SkP1(skf5(skc1)) greater(zero,growth_rate(first_movers,skf5(skc1))).
% 0.18/0.53 1160[2:MRR:1159.0,31.0] || greater_or_equal(skf5(skc1),equilibrium(skc1))* -> SkP0(skf5(skc1)) SkP1(skf5(skc1)) greater(zero,growth_rate(first_movers,skf5(skc1))).
% 0.18/0.53 1174[2:SpR:7.1,1133.0] SkP0(skf5(skc1)) || -> greater(zero,growth_rate(first_movers,skf5(skc1)))*r.
% 0.18/0.53 1175[2:OCh:14.1,14.0,1133.0,9.1] SkP1(skf5(skc1)) || -> greater(zero,growth_rate(first_movers,skf5(skc1)))*r.
% 0.18/0.53 1176[2:Rew:6.1,1174.1] SkP0(skf5(skc1)) || -> greater(zero,zero)*.
% 0.18/0.53 1177[2:MRR:1160.2,1175.0] || greater_or_equal(skf5(skc1),equilibrium(skc1))* -> SkP0(skf5(skc1)) greater(zero,growth_rate(first_movers,skf5(skc1))).
% 0.18/0.53 1199[2:SpL:6.1,1136.0] SkP0(skf5(skc1)) || greater(zero,zero) equal(growth_rate(first_movers,skf5(skc1)),zero)** -> .
% 0.18/0.53 1200[2:Rew:6.1,1199.2] SkP0(skf5(skc1)) || greater(zero,zero)* equal(zero,zero) -> .
% 0.18/0.53 1201[2:Obv:1200.2] SkP0(skf5(skc1)) || greater(zero,zero)* -> .
% 0.18/0.53 1202[2:MRR:1201.1,1176.1] SkP0(skf5(skc1)) || -> .
% 0.18/0.53 1203[2:MRR:1158.1,1202.0] || greater_or_equal(skf5(skc1),equilibrium(skc1))* -> SkP1(skf5(skc1)) greater(growth_rate(efficient_producers,skf5(skc1)),zero).
% 0.18/0.53 1204[2:MRR:1177.1,1202.0] || greater_or_equal(skf5(skc1),equilibrium(skc1))* -> greater(zero,growth_rate(first_movers,skf5(skc1))).
% 0.18/0.53 1222[3:Spt:1203.1] || -> SkP1(skf5(skc1))*.
% 0.18/0.53 1223[3:MRR:1175.0,1222.0] || -> greater(zero,growth_rate(first_movers,skf5(skc1)))*r.
% 0.18/0.53 1225[3:MRR:1137.0,1223.0] || greater(growth_rate(first_movers,skf5(skc1)),zero)*l -> .
% 0.18/0.53 1230[3:OCh:14.1,14.0,1223.0,8.1] SkP1(skf5(skc1)) || -> greater(zero,zero)*.
% 0.18/0.53 1231[3:SSi:1230.0,1222.0] || -> greater(zero,zero)*.
% 0.18/0.53 1247[3:NCh:14.2,14.0,1225.0,8.1] SkP1(skf5(skc1)) || greater(zero,zero)* -> .
% 0.18/0.53 1252[3:SSi:1247.0,1222.0] || greater(zero,zero)* -> .
% 0.18/0.53 1253[3:MRR:1252.0,1231.0] || -> .
% 0.18/0.53 1254[3:Spt:1253.0,1203.1,1222.0] || SkP1(skf5(skc1))* -> .
% 0.18/0.53 1255[3:Spt:1253.0,1203.0,1203.2] || greater_or_equal(skf5(skc1),equilibrium(skc1))* -> greater(growth_rate(efficient_producers,skf5(skc1)),zero).
% 0.18/0.53 1294[0:Res:32.0,1092.1] || equal(skf3(skf6(skc1)),skf5(skc1)) greater(skf3(skf6(skc1)),equilibrium(skc1))*l -> .
% 0.18/0.53 1301[0:NCh:14.2,14.0,1294.1,1101.1] || equal(skf3(skf6(skc1)),skf5(skc1))** greater(skf6(skc1),equilibrium(skc1)) -> equal(skf3(skf6(skc1)),skf6(skc1)).
% 0.18/0.53 1303[1:MRR:1301.1,1100.0] || equal(skf3(skf6(skc1)),skf5(skc1))** -> equal(skf3(skf6(skc1)),skf6(skc1)).
% 0.18/0.53 1305[1:Rew:1303.1,1294.1] || equal(skf3(skf6(skc1)),skf5(skc1))** greater(skf6(skc1),equilibrium(skc1)) -> .
% 0.18/0.53 1306[1:MRR:1305.1,1100.0] || equal(skf3(skf6(skc1)),skf5(skc1))** -> .
% 0.18/0.53 1325[4:Spt:1104.1] || -> equal(skf6(skc1),skf5(skc1))**.
% 0.18/0.53 1329[4:Rew:1325.0,33.0] || -> greater_or_equal(skf5(skc1),equilibrium(skc1))*.
% 0.18/0.53 1336[4:MRR:1255.0,1329.0] || -> greater(growth_rate(efficient_producers,skf5(skc1)),zero)*l.
% 0.18/0.53 1337[4:MRR:1204.0,1329.0] || -> greater(zero,growth_rate(first_movers,skf5(skc1)))*r.
% 0.18/0.53 1341[4:MRR:1155.1,1336.0] || greater(zero,growth_rate(first_movers,skf5(skc1)))*r -> .
% 0.18/0.53 1344[4:MRR:1341.0,1337.0] || -> .
% 0.18/0.53 1351[4:Spt:1344.0,1104.1,1325.0] || equal(skf6(skc1),skf5(skc1))** -> .
% 0.18/0.53 1352[4:Spt:1344.0,1104.0,1104.2] || -> greater(skf5(skc1),skf6(skc1)) greater(skf6(skc1),skf5(skc1))*l.
% 0.18/0.53 1362[5:Spt:1101.0] || -> equal(skf3(skf6(skc1)),skf6(skc1))**.
% 0.18/0.53 1368[5:SpR:1362.0,71.2] || greater(skf3(skf6(skc1)),skf5(skc1)) in_environment(skc1,skf6(skc1)) -> greater(growth_rate(efficient_producers,skf6(skc1)),growth_rate(first_movers,skf6(skc1)))*l.
% 0.18/0.53 1370[5:SpR:1362.0,334.2] || greater(skf3(skf6(skc1)),equilibrium(skc1)) in_environment(skc1,skf6(skc1)) -> SkP0(skf6(skc1)) SkP1(skf3(skf6(skc1)))*.
% 0.18/0.53 1375[5:SpL:1362.0,405.3] || greater(skf3(skf6(skc1)),skf5(skc1)) in_environment(skc1,skf6(skc1)) greater(zero,growth_rate(first_movers,skf3(skf6(skc1))))*r greater(growth_rate(first_movers,skf6(skc1)),zero) -> .
% 0.18/0.53 1377[5:SpL:1362.0,16.1] || greater(zero,growth_rate(first_movers,skf3(skf6(skc1))))*r greater(growth_rate(efficient_producers,skf6(skc1)),zero) -> .
% 0.18/0.53 1384[5:Rew:1362.0,1370.3,1362.0,1370.0] || greater(skf6(skc1),equilibrium(skc1)) in_environment(skc1,skf6(skc1))* -> SkP0(skf6(skc1)) SkP1(skf6(skc1)).
% 0.18/0.53 1385[5:MRR:1384.1,32.0] || greater(skf6(skc1),equilibrium(skc1)) -> SkP0(skf6(skc1))* SkP1(skf6(skc1)).
% 0.18/0.53 1386[5:MRR:1385.0,1100.0] || -> SkP0(skf6(skc1))* SkP1(skf6(skc1)).
% 0.18/0.53 1387[5:Rew:1362.0,1377.0] || greater(zero,growth_rate(first_movers,skf6(skc1))) greater(growth_rate(efficient_producers,skf6(skc1)),zero)*l -> .
% 0.18/0.53 1393[5:Rew:1362.0,1368.0] || greater(skf6(skc1),skf5(skc1)) in_environment(skc1,skf6(skc1)) -> greater(growth_rate(efficient_producers,skf6(skc1)),growth_rate(first_movers,skf6(skc1)))*l.
% 0.18/0.54 1394[5:MRR:1393.1,32.0] || greater(skf6(skc1),skf5(skc1)) -> greater(growth_rate(efficient_producers,skf6(skc1)),growth_rate(first_movers,skf6(skc1)))*l.
% 0.18/0.54 1399[5:Rew:1362.0,1375.2,1362.0,1375.0] || greater(skf6(skc1),skf5(skc1)) in_environment(skc1,skf6(skc1)) greater(zero,growth_rate(first_movers,skf6(skc1))) greater(growth_rate(first_movers,skf6(skc1)),zero)*l -> .
% 0.18/0.54 1400[5:MRR:1399.1,32.0] || greater(skf6(skc1),skf5(skc1)) greater(zero,growth_rate(first_movers,skf6(skc1))) greater(growth_rate(first_movers,skf6(skc1)),zero)*l -> .
% 0.18/0.54 1441[5:SpL:7.1,1387.1] SkP0(skf6(skc1)) || greater(zero,growth_rate(first_movers,skf6(skc1)))*r greater(zero,zero) -> .
% 0.18/0.54 1442[5:Rew:6.1,1441.1] SkP0(skf6(skc1)) || greater(zero,zero)* greater(zero,zero)* -> .
% 0.18/0.54 1443[5:Obv:1442.1] SkP0(skf6(skc1)) || greater(zero,zero)* -> .
% 0.18/0.54 1446[5:SpR:7.1,1394.1] SkP0(skf6(skc1)) || greater(skf6(skc1),skf5(skc1)) -> greater(zero,growth_rate(first_movers,skf6(skc1)))*r.
% 0.18/0.54 1447[5:OCh:14.1,14.0,1394.1,9.1] SkP1(skf6(skc1)) || greater(skf6(skc1),skf5(skc1)) -> greater(zero,growth_rate(first_movers,skf6(skc1)))*r.
% 0.18/0.54 1450[5:Rew:6.1,1446.2] SkP0(skf6(skc1)) || greater(skf6(skc1),skf5(skc1))*l -> greater(zero,zero).
% 0.18/0.54 1451[5:MRR:1450.2,1443.1] SkP0(skf6(skc1)) || greater(skf6(skc1),skf5(skc1))*l -> .
% 0.18/0.54 1452[5:SoR:1451.0,1386.0] || greater(skf6(skc1),skf5(skc1)) -> SkP1(skf6(skc1))*.
% 0.18/0.54 1453[5:MRR:1447.0,1452.1] || greater(skf6(skc1),skf5(skc1)) -> greater(zero,growth_rate(first_movers,skf6(skc1)))*r.
% 0.18/0.54 1455[5:MRR:1400.1,1453.1] || greater(skf6(skc1),skf5(skc1)) greater(growth_rate(first_movers,skf6(skc1)),zero)*l -> .
% 0.18/0.54 1487[5:Res:8.1,1455.1] SkP1(skf6(skc1)) || greater(skf6(skc1),skf5(skc1))*l -> .
% 0.18/0.54 1490[5:MRR:1487.0,1452.1] || greater(skf6(skc1),skf5(skc1))*l -> .
% 0.18/0.54 1491[5:MRR:1352.1,1490.0] || -> greater(skf5(skc1),skf6(skc1))*r.
% 0.18/0.54 1493[5:OCh:14.1,14.0,1491.0,46.3] stable(skc1) environment(skc1) || -> equal(skf6(skc1),equilibrium(skc1))** greater(skf5(skc1),equilibrium(skc1)).
% 0.18/0.54 1497[5:SSi:1493.1,1493.0,2.0,1.0,2.0,1.0] || -> equal(skf6(skc1),equilibrium(skc1))** greater(skf5(skc1),equilibrium(skc1)).
% 0.18/0.54 1498[5:MRR:1497.0,1497.1,1099.0,1132.0] || -> .
% 0.18/0.54 1499[5:Spt:1498.0,1101.0,1362.0] || equal(skf3(skf6(skc1)),skf6(skc1))** -> .
% 0.18/0.54 1500[5:Spt:1498.0,1101.1] || -> greater(skf3(skf6(skc1)),skf6(skc1))*l.
% 0.18/0.54 1505[0:Res:32.0,1095.1] || greater(skf3(skf6(skc1)),skf5(skc1))*l greater(skf3(skf6(skc1)),equilibrium(skc1)) -> .
% 0.18/0.54 1510[5:NCh:14.2,14.0,1505.0,1500.0] || greater(skf6(skc1),skf5(skc1)) greater(skf3(skf6(skc1)),equilibrium(skc1))*l -> .
% 0.18/0.54 1512[5:NCh:14.2,14.0,1510.1,1500.0] || greater(skf6(skc1),skf5(skc1))*l greater(skf6(skc1),equilibrium(skc1)) -> .
% 0.18/0.54 1514[5:MRR:1512.1,1100.0] || greater(skf6(skc1),skf5(skc1))*l -> .
% 0.18/0.54 1515[5:MRR:1352.1,1514.0] || -> greater(skf5(skc1),skf6(skc1))*r.
% 0.18/0.54 1516[5:OCh:14.1,14.0,1515.0,46.3] stable(skc1) environment(skc1) || -> equal(skf6(skc1),equilibrium(skc1))** greater(skf5(skc1),equilibrium(skc1)).
% 0.18/0.54 1520[5:SSi:1516.1,1516.0,2.0,1.0,2.0,1.0] || -> equal(skf6(skc1),equilibrium(skc1))** greater(skf5(skc1),equilibrium(skc1)).
% 0.18/0.54 1521[5:MRR:1520.0,1520.1,1099.0,1132.0] || -> .
% 0.18/0.54 1522[2:Spt:1521.0,58.0,1130.0] || equal(skf3(skf5(skc1)),skf5(skc1))** -> .
% 0.18/0.54 1523[2:Spt:1521.0,58.1] || -> greater(skf3(skf5(skc1)),skf5(skc1))*l.
% 0.18/0.54 1524[2:NCh:14.2,14.0,421.0,1523.0] || greater(skf5(skc1),equilibrium(skc1))*l -> .
% 0.18/0.54 1526[3:Spt:1101.0] || -> equal(skf3(skf6(skc1)),skf6(skc1))**.
% 0.18/0.54 1527[3:Rew:1526.0,1306.0] || equal(skf6(skc1),skf5(skc1))** -> .
% 0.18/0.54 1529[3:Rew:1526.0,1505.0] || greater(skf6(skc1),skf5(skc1)) greater(skf3(skf6(skc1)),equilibrium(skc1))*l -> .
% 0.18/0.54 1530[3:MRR:1104.1,1527.0] || -> greater(skf5(skc1),skf6(skc1)) greater(skf6(skc1),skf5(skc1))*l.
% 0.18/0.54 1531[3:Rew:1526.0,1529.1] || greater(skf6(skc1),skf5(skc1))*l greater(skf6(skc1),equilibrium(skc1)) -> .
% 0.18/0.54 1532[3:MRR:1531.1,1100.0] || greater(skf6(skc1),skf5(skc1))*l -> .
% 0.18/0.54 1533[3:MRR:1530.1,1532.0] || -> greater(skf5(skc1),skf6(skc1))*r.
% 0.18/0.54 1577[3:OCh:14.1,14.0,1533.0,46.3] stable(skc1) environment(skc1) || -> equal(skf6(skc1),equilibrium(skc1))** greater(skf5(skc1),equilibrium(skc1)).
% 0.18/0.54 1581[3:SSi:1577.1,1577.0,2.0,1.0,2.0,1.0] || -> equal(skf6(skc1),equilibrium(skc1))** greater(skf5(skc1),equilibrium(skc1)).
% 0.18/0.54 1582[3:MRR:1581.0,1099.0] || -> greater(skf5(skc1),equilibrium(skc1))*l.
% 0.18/0.54 1583[3:MRR:1582.0,1524.0] || -> .
% 0.18/0.54 1584[3:Spt:1583.0,1101.0,1526.0] || equal(skf3(skf6(skc1)),skf6(skc1))** -> .
% 0.18/0.54 1585[3:Spt:1583.0,1101.1] || -> greater(skf3(skf6(skc1)),skf6(skc1))*l.
% 0.18/0.54 1595[3:NCh:14.2,14.0,1505.0,1585.0] || greater(skf6(skc1),skf5(skc1)) greater(skf3(skf6(skc1)),equilibrium(skc1))*l -> .
% 0.18/0.54 1597[4:Spt:1104.1] || -> equal(skf6(skc1),skf5(skc1))**.
% 0.18/0.54 1601[4:Rew:1597.0,1100.0] || -> greater(skf5(skc1),equilibrium(skc1))*l.
% 0.18/0.54 1612[4:MRR:1601.0,1524.0] || -> .
% 0.18/0.54 1618[4:Spt:1612.0,1104.1,1597.0] || equal(skf6(skc1),skf5(skc1))** -> .
% 0.18/0.54 1619[4:Spt:1612.0,1104.0,1104.2] || -> greater(skf5(skc1),skf6(skc1)) greater(skf6(skc1),skf5(skc1))*l.
% 0.18/0.54 1620[5:Spt:1619.0] || -> greater(skf5(skc1),skf6(skc1))*r.
% 0.18/0.54 1621[5:OCh:14.1,14.0,1620.0,46.3] stable(skc1) environment(skc1) || -> equal(skf6(skc1),equilibrium(skc1))** greater(skf5(skc1),equilibrium(skc1)).
% 0.18/0.54 1623[5:SSi:1621.1,1621.0,2.0,1.0,2.0,1.0] || -> equal(skf6(skc1),equilibrium(skc1))** greater(skf5(skc1),equilibrium(skc1)).
% 0.18/0.54 1624[5:MRR:1623.1,1524.0] || -> equal(skf6(skc1),equilibrium(skc1))**.
% 0.18/0.54 1625[5:MRR:1624.0,1099.0] || -> .
% 0.18/0.54 1626[5:Spt:1625.0,1619.0,1620.0] || greater(skf5(skc1),skf6(skc1))*r -> .
% 0.18/0.54 1627[5:Spt:1625.0,1619.1] || -> greater(skf6(skc1),skf5(skc1))*l.
% 0.18/0.54 1629[5:MRR:1595.0,1627.0] || greater(skf3(skf6(skc1)),equilibrium(skc1))*l -> .
% 0.18/0.54 1640[5:NCh:14.2,14.0,1629.0,1585.0] || greater(skf6(skc1),equilibrium(skc1))*l -> .
% 0.18/0.54 1642[5:MRR:1640.0,1100.0] || -> .
% 0.18/0.54 % SZS output end Refutation
% 0.18/0.54 Formulae used in the proof : prove_l11 a4 mp_greater_or_equal l6 l1 mp_greater_transitivity mp_times_in_environment
% 0.18/0.54
%------------------------------------------------------------------------------