%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : MGT025-1 : 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 22:26:15 EDT 2022

% Result   : Unsatisfiable 0.19s 0.45s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : MGT025-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  9 10:11:55 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  
% 0.19/0.45  SPASS V 3.9 
% 0.19/0.45  SPASS beiseite: Proof found.
% 0.19/0.45  % SZS status Theorem
% 0.19/0.45  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.45  SPASS derived 256 clauses, backtracked 118 clauses, performed 10 splits and kept 259 clauses.
% 0.19/0.45  SPASS allocated 75944 KBytes.
% 0.19/0.45  SPASS spent	0:00:00.11 on the problem.
% 0.19/0.45  		0:00:00.04 for the input.
% 0.19/0.45  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.45  		0:00:00.01 for inferences.
% 0.19/0.45  		0:00:00.00 for the backtracking.
% 0.19/0.45  		0:00:00.03 for the reduction.
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  Here is a proof with depth 9, length 169 :
% 0.19/0.45  % SZS output start Refutation
% 0.19/0.45  3[0:Inp] environment(u) || equal(v,first_movers) subpopulation(v,u,w)*+ -> equal(number_of_organizations(u,w),sum__dfg(cardinality_at_time(first_movers,w),cardinality_at_time(efficient_producers,w)))*.
% 0.19/0.45  4[0:Inp] environment(u) || in_environment(u,v) -> subpopulation(first_movers,u,v)*.
% 0.19/0.45  5[0:Inp] environment(u) || in_environment(u,v) -> subpopulation(efficient_producers,u,v)*.
% 0.19/0.45  6[0:Inp] constant(u) || equal(u,sum__dfg(v,w))* -> decreases(v) increases(v) constant(v).
% 0.19/0.45  7[0:Inp] constant(u) || equal(u,sum__dfg(v,w))* -> increases(w) increases(v) constant(v).
% 0.19/0.45  8[0:Inp] constant(u) || equal(u,sum__dfg(v,w))* -> decreases(v) decreases(w) constant(v).
% 0.19/0.45  9[0:Inp] constant(u) || equal(u,sum__dfg(v,w))* -> increases(w) decreases(w) constant(v).
% 0.19/0.45  10[0:Inp] constant(u) || equal(u,sum__dfg(v,w))* -> decreases(v) increases(v) constant(w).
% 0.19/0.45  11[0:Inp] constant(u) || equal(u,sum__dfg(v,w))* -> increases(w) increases(v) constant(w).
% 0.19/0.45  12[0:Inp] constant(u) || equal(u,sum__dfg(v,w))* -> decreases(v) decreases(w) constant(w).
% 0.19/0.45  13[0:Inp] constant(u) || equal(u,sum__dfg(v,w))* -> increases(w) decreases(w) constant(w).
% 0.19/0.45  14[0:Inp] environment(u) || constant(cardinality_at_time(v,w)) in_environment(u,w) greater(cardinality_at_time(v,w),zero)*+ subpopulation(v,u,w)* -> equal(growth_rate(v,w),zero).
% 0.19/0.45  15[0:Inp] environment(u) || increases(cardinality_at_time(v,w)) in_environment(u,w) greater(cardinality_at_time(v,w),zero)+ subpopulation(v,u,w)* -> greater(growth_rate(v,w),zero)*.
% 0.19/0.45  16[0:Inp] environment(u) || decreases(cardinality_at_time(v,w)) in_environment(u,w) greater(cardinality_at_time(v,w),zero)*+ subpopulation(v,u,w)* -> greater(zero,growth_rate(v,w)).
% 0.19/0.45  17[0:Inp] environment(u) || subpopulations(first_movers,efficient_producers,u,v)*+ -> greater(cardinality_at_time(first_movers,v),zero)*.
% 0.19/0.45  18[0:Inp] environment(u) || subpopulations(first_movers,efficient_producers,u,v)*+ -> greater(cardinality_at_time(efficient_producers,v),zero)*.
% 0.19/0.45  19[0:Inp] environment(u) || subpopulations(first_movers,efficient_producers,u,v)* -> in_environment(u,v).
% 0.19/0.45  21[0:Inp] ||  -> environment(sk1)*.
% 0.19/0.45  22[0:Inp] ||  -> subpopulations(first_movers,efficient_producers,sk1,sk2)*.
% 0.19/0.45  23[0:Inp] ||  -> constant(number_of_organizations(sk1,sk2))*.
% 0.19/0.45  24[0:Inp] || equal(growth_rate(efficient_producers,sk2),zero)** equal(growth_rate(first_movers,sk2),zero) -> .
% 0.19/0.45  25[0:Inp] || greater(zero,growth_rate(efficient_producers,sk2)) greater(growth_rate(first_movers,sk2),zero)* -> .
% 0.19/0.45  26[0:Inp] || greater(zero,growth_rate(first_movers,sk2)) greater(growth_rate(efficient_producers,sk2),zero)* -> .
% 0.19/0.45  28[0:Res:21.0,15.0] || increases(cardinality_at_time(u,v)) in_environment(sk1,v) greater(cardinality_at_time(u,v),zero) subpopulation(u,sk1,v) -> greater(growth_rate(u,v),zero)*.
% 0.19/0.45  31[0:Res:21.0,3.0] || equal(u,first_movers) subpopulation(u,sk1,v)*+ -> equal(sum__dfg(cardinality_at_time(first_movers,v),cardinality_at_time(efficient_producers,v)),number_of_organizations(sk1,v))**.
% 0.19/0.45  37[0:Res:21.0,4.0] || in_environment(sk1,u) -> subpopulation(first_movers,sk1,u)*.
% 0.19/0.45  47[0:Res:22.0,17.1] environment(sk1) ||  -> greater(cardinality_at_time(first_movers,sk2),zero)*.
% 0.19/0.45  48[0:Res:22.0,18.1] environment(sk1) ||  -> greater(cardinality_at_time(efficient_producers,sk2),zero)*.
% 0.19/0.45  49[0:Res:22.0,19.1] environment(sk1) ||  -> in_environment(sk1,sk2)*.
% 0.19/0.45  50[0:MRR:49.0,21.0] ||  -> in_environment(sk1,sk2)*.
% 0.19/0.45  51[0:MRR:47.0,21.0] ||  -> greater(cardinality_at_time(first_movers,sk2),zero)*.
% 0.19/0.45  52[0:MRR:48.0,21.0] ||  -> greater(cardinality_at_time(efficient_producers,sk2),zero)*.
% 0.19/0.45  60[0:EqR:13.1] constant(sum__dfg(u,v)) ||  -> increases(v)* decreases(v) constant(v).
% 0.19/0.45  61[0:EqR:6.1] constant(sum__dfg(u,v)) ||  -> decreases(u) increases(u)* constant(u).
% 0.19/0.45  62[0:EqR:10.1] constant(sum__dfg(u,v)) ||  -> decreases(u) increases(u)* constant(v)*.
% 0.19/0.45  63[0:EqR:9.1] constant(sum__dfg(u,v)) ||  -> increases(v)* decreases(v) constant(u)*.
% 0.19/0.45  64[0:EqR:12.1] constant(sum__dfg(u,v)) ||  -> decreases(u)* decreases(v)* constant(v).
% 0.19/0.45  65[0:EqR:11.1] constant(sum__dfg(u,v)) ||  -> increases(v)* increases(u)* constant(v).
% 0.19/0.45  66[0:EqR:8.1] constant(sum__dfg(u,v)) ||  -> decreases(u)* decreases(v)* constant(u).
% 0.19/0.45  67[0:EqR:7.1] constant(sum__dfg(u,v)) ||  -> increases(v)* increases(u)* constant(u).
% 0.19/0.45  78[0:Res:37.1,31.1] || in_environment(sk1,u) equal(first_movers,first_movers) -> equal(sum__dfg(cardinality_at_time(first_movers,u),cardinality_at_time(efficient_producers,u)),number_of_organizations(sk1,u))**.
% 0.19/0.45  80[0:Obv:78.1] || in_environment(sk1,u) -> equal(sum__dfg(cardinality_at_time(first_movers,u),cardinality_at_time(efficient_producers,u)),number_of_organizations(sk1,u))**.
% 0.19/0.45  112[0:Res:4.2,3.2] environment(u) environment(u) || in_environment(u,v) equal(first_movers,first_movers) -> equal(number_of_organizations(u,v),sum__dfg(cardinality_at_time(first_movers,v),cardinality_at_time(efficient_producers,v)))*.
% 0.19/0.45  114[0:Obv:112.3] environment(u) || in_environment(u,v) -> equal(number_of_organizations(u,v),sum__dfg(cardinality_at_time(first_movers,v),cardinality_at_time(efficient_producers,v)))*.
% 0.19/0.45  118[0:SpR:114.2,80.1] environment(u) || in_environment(u,v) in_environment(sk1,v) -> equal(number_of_organizations(u,v),number_of_organizations(sk1,v))*.
% 0.19/0.45  139[0:SpR:118.3,23.0] environment(u) || in_environment(u,sk2) in_environment(sk1,sk2) -> constant(number_of_organizations(u,sk2))*.
% 0.19/0.45  143[0:MRR:139.2,50.0] environment(u) || in_environment(u,sk2) -> constant(number_of_organizations(u,sk2))*.
% 0.19/0.45  150[0:SpR:114.2,143.2] environment(u) environment(u) || in_environment(u,sk2)* in_environment(u,sk2)* -> constant(sum__dfg(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)))*.
% 0.19/0.45  151[0:Obv:150.2] environment(u) || in_environment(u,sk2)*+ -> constant(sum__dfg(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)))*.
% 0.19/0.45  162[0:Res:50.0,151.1] environment(sk1) ||  -> constant(sum__dfg(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)))*.
% 0.19/0.45  163[0:SSi:162.0,21.0] ||  -> constant(sum__dfg(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)))*.
% 0.19/0.45  171[0:SoR:67.0,163.0] ||  -> increases(cardinality_at_time(efficient_producers,sk2))* increases(cardinality_at_time(first_movers,sk2)) constant(cardinality_at_time(first_movers,sk2)).
% 0.19/0.45  172[0:SoR:66.0,163.0] ||  -> decreases(cardinality_at_time(first_movers,sk2)) decreases(cardinality_at_time(efficient_producers,sk2))* constant(cardinality_at_time(first_movers,sk2)).
% 0.19/0.45  173[0:SoR:65.0,163.0] ||  -> increases(cardinality_at_time(efficient_producers,sk2))* increases(cardinality_at_time(first_movers,sk2)) constant(cardinality_at_time(efficient_producers,sk2)).
% 0.19/0.45  174[0:SoR:64.0,163.0] ||  -> decreases(cardinality_at_time(first_movers,sk2)) decreases(cardinality_at_time(efficient_producers,sk2))* constant(cardinality_at_time(efficient_producers,sk2)).
% 0.19/0.45  175[0:SoR:63.0,163.0] ||  -> increases(cardinality_at_time(efficient_producers,sk2))* decreases(cardinality_at_time(efficient_producers,sk2)) constant(cardinality_at_time(first_movers,sk2)).
% 0.19/0.45  176[0:SoR:62.0,163.0] ||  -> decreases(cardinality_at_time(first_movers,sk2)) increases(cardinality_at_time(first_movers,sk2))* constant(cardinality_at_time(efficient_producers,sk2)).
% 0.19/0.45  177[0:SoR:61.0,163.0] ||  -> decreases(cardinality_at_time(first_movers,sk2)) increases(cardinality_at_time(first_movers,sk2))* constant(cardinality_at_time(first_movers,sk2)).
% 0.19/0.45  178[0:SoR:60.0,163.0] ||  -> increases(cardinality_at_time(efficient_producers,sk2))* decreases(cardinality_at_time(efficient_producers,sk2)) constant(cardinality_at_time(efficient_producers,sk2)).
% 0.19/0.45  181[1:Spt:171.0] ||  -> increases(cardinality_at_time(efficient_producers,sk2))*.
% 0.19/0.45  182[2:Spt:172.0] ||  -> decreases(cardinality_at_time(first_movers,sk2))*.
% 0.19/0.45  225[0:Res:52.0,15.3] environment(u) || increases(cardinality_at_time(efficient_producers,sk2)) in_environment(u,sk2) subpopulation(efficient_producers,u,sk2)* -> greater(growth_rate(efficient_producers,sk2),zero)*.
% 0.19/0.45  226[0:Res:51.0,15.3] environment(u) || increases(cardinality_at_time(first_movers,sk2)) in_environment(u,sk2) subpopulation(first_movers,u,sk2)* -> greater(growth_rate(first_movers,sk2),zero)*.
% 0.19/0.45  229[0:MRR:226.3,4.2] environment(u) || increases(cardinality_at_time(first_movers,sk2))+ in_environment(u,sk2)* -> greater(growth_rate(first_movers,sk2),zero)*.
% 0.19/0.45  230[1:MRR:225.1,225.3,181.0,5.2] environment(u) || in_environment(u,sk2)*+ -> greater(growth_rate(efficient_producers,sk2),zero)*.
% 0.19/0.45  233[1:Res:50.0,230.1] environment(sk1) ||  -> greater(growth_rate(efficient_producers,sk2),zero)*.
% 0.19/0.45  234[1:SSi:233.0,21.0] ||  -> greater(growth_rate(efficient_producers,sk2),zero)*.
% 0.19/0.45  235[1:MRR:26.1,234.0] || greater(zero,growth_rate(first_movers,sk2))* -> .
% 0.19/0.45  240[0:Res:52.0,14.3] environment(u) || constant(cardinality_at_time(efficient_producers,sk2)) in_environment(u,sk2) subpopulation(efficient_producers,u,sk2)* -> equal(growth_rate(efficient_producers,sk2),zero).
% 0.19/0.45  241[0:Res:51.0,14.3] environment(u) || constant(cardinality_at_time(first_movers,sk2)) in_environment(u,sk2) subpopulation(first_movers,u,sk2)* -> equal(growth_rate(first_movers,sk2),zero).
% 0.19/0.45  244[0:MRR:241.3,4.2] environment(u) || constant(cardinality_at_time(first_movers,sk2))*+ in_environment(u,sk2)* -> equal(growth_rate(first_movers,sk2),zero).
% 0.19/0.45  245[0:MRR:240.3,5.2] environment(u) || constant(cardinality_at_time(efficient_producers,sk2))*+ in_environment(u,sk2)* -> equal(growth_rate(efficient_producers,sk2),zero).
% 0.19/0.45  250[0:Res:52.0,16.3] environment(u) || decreases(cardinality_at_time(efficient_producers,sk2)) in_environment(u,sk2) subpopulation(efficient_producers,u,sk2)* -> greater(zero,growth_rate(efficient_producers,sk2))*.
% 0.19/0.45  251[0:Res:51.0,16.3] environment(u) || decreases(cardinality_at_time(first_movers,sk2)) in_environment(u,sk2) subpopulation(first_movers,u,sk2)* -> greater(zero,growth_rate(first_movers,sk2))*.
% 0.19/0.45  254[2:MRR:251.1,251.3,251.4,182.0,4.2,235.0] environment(u) || in_environment(u,sk2)* -> .
% 0.19/0.45  257[2:Res:50.0,254.1] environment(sk1) ||  -> .
% 0.19/0.45  258[2:SSi:257.0,21.0] ||  -> .
% 0.19/0.45  259[2:Spt:258.0,172.0,182.0] || decreases(cardinality_at_time(first_movers,sk2))* -> .
% 0.19/0.45  260[2:Spt:258.0,172.1,172.2] ||  -> decreases(cardinality_at_time(efficient_producers,sk2))* constant(cardinality_at_time(first_movers,sk2)).
% 0.19/0.45  261[2:MRR:174.0,259.0] ||  -> decreases(cardinality_at_time(efficient_producers,sk2))* constant(cardinality_at_time(efficient_producers,sk2)).
% 0.19/0.45  262[2:MRR:176.0,259.0] ||  -> increases(cardinality_at_time(first_movers,sk2))* constant(cardinality_at_time(efficient_producers,sk2)).
% 0.19/0.45  263[2:MRR:177.0,259.0] ||  -> increases(cardinality_at_time(first_movers,sk2))* constant(cardinality_at_time(first_movers,sk2)).
% 0.19/0.45  264[0:MRR:250.3,5.2] environment(u) || decreases(cardinality_at_time(efficient_producers,sk2)) in_environment(u,sk2)* -> greater(zero,growth_rate(efficient_producers,sk2))*.
% 0.19/0.45  269[3:Spt:260.0] ||  -> decreases(cardinality_at_time(efficient_producers,sk2))*.
% 0.19/0.45  270[3:MRR:264.1,269.0] environment(u) || in_environment(u,sk2)*+ -> greater(zero,growth_rate(efficient_producers,sk2))*.
% 0.19/0.45  271[4:Spt:262.0] ||  -> increases(cardinality_at_time(first_movers,sk2))*.
% 0.19/0.45  285[0:Res:28.4,25.1] || increases(cardinality_at_time(first_movers,sk2)) in_environment(sk1,sk2) greater(cardinality_at_time(first_movers,sk2),zero)* subpopulation(first_movers,sk1,sk2) greater(zero,growth_rate(efficient_producers,sk2)) -> .
% 0.19/0.45  286[4:MRR:285.0,285.1,285.2,271.0,50.0,51.0] || subpopulation(first_movers,sk1,sk2) greater(zero,growth_rate(efficient_producers,sk2))* -> .
% 0.19/0.45  287[3:Res:50.0,270.1] environment(sk1) ||  -> greater(zero,growth_rate(efficient_producers,sk2))*.
% 0.19/0.45  288[3:SSi:287.0,21.0] ||  -> greater(zero,growth_rate(efficient_producers,sk2))*.
% 0.19/0.45  290[4:MRR:286.1,288.0] || subpopulation(first_movers,sk1,sk2)* -> .
% 0.19/0.45  292[4:Res:37.1,290.0] || in_environment(sk1,sk2)* -> .
% 0.19/0.45  294[4:MRR:292.0,50.0] ||  -> .
% 0.19/0.45  295[4:Spt:294.0,262.0,271.0] || increases(cardinality_at_time(first_movers,sk2))* -> .
% 0.19/0.45  296[4:Spt:294.0,262.1] ||  -> constant(cardinality_at_time(efficient_producers,sk2))*.
% 0.19/0.45  297[4:MRR:263.0,295.0] ||  -> constant(cardinality_at_time(first_movers,sk2))*.
% 0.19/0.45  298[4:MRR:244.1,297.0] environment(u) || in_environment(u,sk2)*+ -> equal(growth_rate(first_movers,sk2),zero)**.
% 0.19/0.45  299[4:MRR:245.1,296.0] environment(u) || in_environment(u,sk2)* -> equal(growth_rate(efficient_producers,sk2),zero)**.
% 0.19/0.45  317[4:Res:50.0,298.1] environment(sk1) ||  -> equal(growth_rate(first_movers,sk2),zero)**.
% 0.19/0.45  318[4:SSi:317.0,21.0] ||  -> equal(growth_rate(first_movers,sk2),zero)**.
% 0.19/0.45  319[4:Rew:318.0,24.1] || equal(growth_rate(efficient_producers,sk2),zero)** equal(zero,zero) -> .
% 0.19/0.45  322[4:Obv:319.1] || equal(growth_rate(efficient_producers,sk2),zero)** -> .
% 0.19/0.45  323[4:MRR:299.2,322.0] environment(u) || in_environment(u,sk2)* -> .
% 0.19/0.45  326[4:Res:50.0,323.1] environment(sk1) ||  -> .
% 0.19/0.45  327[4:SSi:326.0,21.0] ||  -> .
% 0.19/0.45  328[3:Spt:327.0,260.0,269.0] || decreases(cardinality_at_time(efficient_producers,sk2))* -> .
% 0.19/0.45  329[3:Spt:327.0,260.1] ||  -> constant(cardinality_at_time(first_movers,sk2))*.
% 0.19/0.45  330[3:MRR:261.0,328.0] ||  -> constant(cardinality_at_time(efficient_producers,sk2))*.
% 0.19/0.45  331[3:MRR:244.1,329.0] environment(u) || in_environment(u,sk2)* -> equal(growth_rate(first_movers,sk2),zero)**.
% 0.19/0.45  333[3:MRR:245.1,330.0] environment(u) || in_environment(u,sk2)* -> equal(growth_rate(efficient_producers,sk2),zero)**.
% 0.19/0.45  334[0:MRR:285.1,285.2,50.0,51.0] || increases(cardinality_at_time(first_movers,sk2)) subpopulation(first_movers,sk1,sk2) greater(zero,growth_rate(efficient_producers,sk2))* -> .
% 0.19/0.45  347[4:Spt:24.0] || equal(growth_rate(efficient_producers,sk2),zero)** -> .
% 0.19/0.45  348[4:MRR:333.2,347.0] environment(u) || in_environment(u,sk2)* -> .
% 0.19/0.45  349[4:Res:50.0,348.1] environment(sk1) ||  -> .
% 0.19/0.45  350[4:SSi:349.0,21.0] ||  -> .
% 0.19/0.45  351[4:Spt:350.0,24.0,347.0] ||  -> equal(growth_rate(efficient_producers,sk2),zero)**.
% 0.19/0.45  352[4:Spt:350.0,24.1] || equal(growth_rate(first_movers,sk2),zero)** -> .
% 0.19/0.45  357[4:MRR:331.2,352.0] environment(u) || in_environment(u,sk2)* -> .
% 0.19/0.45  362[4:Res:50.0,357.1] environment(sk1) ||  -> .
% 0.19/0.45  363[4:SSi:362.0,21.0] ||  -> .
% 0.19/0.45  364[1:Spt:363.0,171.0,181.0] || increases(cardinality_at_time(efficient_producers,sk2))* -> .
% 0.19/0.45  365[1:Spt:363.0,171.1,171.2] ||  -> increases(cardinality_at_time(first_movers,sk2))* constant(cardinality_at_time(first_movers,sk2)).
% 0.19/0.45  366[1:MRR:173.0,364.0] ||  -> increases(cardinality_at_time(first_movers,sk2))* constant(cardinality_at_time(efficient_producers,sk2)).
% 0.19/0.45  367[1:MRR:175.0,364.0] ||  -> decreases(cardinality_at_time(efficient_producers,sk2))* constant(cardinality_at_time(first_movers,sk2)).
% 0.19/0.45  368[1:MRR:178.0,364.0] ||  -> decreases(cardinality_at_time(efficient_producers,sk2))* constant(cardinality_at_time(efficient_producers,sk2)).
% 0.19/0.45  370[2:Spt:365.0] ||  -> increases(cardinality_at_time(first_movers,sk2))*.
% 0.19/0.45  371[2:MRR:334.0,370.0] || subpopulation(first_movers,sk1,sk2) greater(zero,growth_rate(efficient_producers,sk2))* -> .
% 0.19/0.45  372[2:MRR:229.1,370.0] environment(u) || in_environment(u,sk2)* -> greater(growth_rate(first_movers,sk2),zero)*.
% 0.19/0.45  377[3:Spt:25.0] || greater(zero,growth_rate(efficient_producers,sk2))* -> .
% 0.19/0.45  378[3:MRR:264.3,377.0] environment(u) || decreases(cardinality_at_time(efficient_producers,sk2))* in_environment(u,sk2)* -> .
% 0.19/0.45  379[4:Spt:367.0] ||  -> decreases(cardinality_at_time(efficient_producers,sk2))*.
% 0.19/0.45  380[4:MRR:378.1,379.0] environment(u) || in_environment(u,sk2)* -> .
% 0.19/0.45  381[4:Res:50.0,380.1] environment(sk1) ||  -> .
% 0.19/0.45  382[4:SSi:381.0,21.0] ||  -> .
% 0.19/0.45  383[4:Spt:382.0,367.0,379.0] || decreases(cardinality_at_time(efficient_producers,sk2))* -> .
% 0.19/0.45  384[4:Spt:382.0,367.1] ||  -> constant(cardinality_at_time(first_movers,sk2))*.
% 0.19/0.45  385[4:MRR:368.0,383.0] ||  -> constant(cardinality_at_time(efficient_producers,sk2))*.
% 0.19/0.45  386[4:MRR:244.1,384.0] environment(u) || in_environment(u,sk2)* -> equal(growth_rate(first_movers,sk2),zero)**.
% 0.19/0.45  387[4:Rew:386.2,372.2] environment(u) || in_environment(u,sk2)* -> greater(zero,zero)*.
% 0.19/0.45  388[4:MRR:245.1,385.0] environment(u) || in_environment(u,sk2)* -> equal(growth_rate(efficient_producers,sk2),zero)**.
% 0.19/0.46  390[5:Spt:24.0] || equal(growth_rate(efficient_producers,sk2),zero)** -> .
% 0.19/0.46  391[5:MRR:388.2,390.0] environment(u) || in_environment(u,sk2)* -> .
% 0.19/0.46  392[5:Res:50.0,391.1] environment(sk1) ||  -> .
% 0.19/0.46  393[5:SSi:392.0,21.0] ||  -> .
% 0.19/0.46  394[5:Spt:393.0,24.0,390.0] ||  -> equal(growth_rate(efficient_producers,sk2),zero)**.
% 0.19/0.46  395[5:Spt:393.0,24.1] || equal(growth_rate(first_movers,sk2),zero)** -> .
% 0.19/0.46  396[5:Rew:394.0,377.0] || greater(zero,zero)* -> .
% 0.19/0.46  398[5:MRR:387.2,396.0] environment(u) || in_environment(u,sk2)* -> .
% 0.19/0.46  401[5:Res:50.0,398.1] environment(sk1) ||  -> .
% 0.19/0.46  402[5:SSi:401.0,21.0] ||  -> .
% 0.19/0.46  403[3:Spt:402.0,25.0,377.0] ||  -> greater(zero,growth_rate(efficient_producers,sk2))*.
% 0.19/0.46  404[3:Spt:402.0,25.1] || greater(growth_rate(first_movers,sk2),zero)* -> .
% 0.19/0.46  405[3:MRR:371.1,403.0] || subpopulation(first_movers,sk1,sk2)* -> .
% 0.19/0.46  408[3:Res:37.1,405.0] || in_environment(sk1,sk2)* -> .
% 0.19/0.46  410[3:MRR:408.0,50.0] ||  -> .
% 0.19/0.46  411[2:Spt:410.0,365.0,370.0] || increases(cardinality_at_time(first_movers,sk2))* -> .
% 0.19/0.46  412[2:Spt:410.0,365.1] ||  -> constant(cardinality_at_time(first_movers,sk2))*.
% 0.19/0.46  413[2:MRR:366.0,411.0] ||  -> constant(cardinality_at_time(efficient_producers,sk2))*.
% 0.19/0.46  414[2:MRR:244.1,412.0] environment(u) || in_environment(u,sk2)* -> equal(growth_rate(first_movers,sk2),zero)**.
% 0.19/0.46  415[2:MRR:245.1,413.0] environment(u) || in_environment(u,sk2)* -> equal(growth_rate(efficient_producers,sk2),zero)**.
% 0.19/0.46  435[3:Spt:24.0] || equal(growth_rate(efficient_producers,sk2),zero)** -> .
% 0.19/0.46  436[3:MRR:415.2,435.0] environment(u) || in_environment(u,sk2)* -> .
% 0.19/0.46  437[3:Res:50.0,436.1] environment(sk1) ||  -> .
% 0.19/0.46  438[3:SSi:437.0,21.0] ||  -> .
% 0.19/0.46  439[3:Spt:438.0,24.0,435.0] ||  -> equal(growth_rate(efficient_producers,sk2),zero)**.
% 0.19/0.46  440[3:Spt:438.0,24.1] || equal(growth_rate(first_movers,sk2),zero)** -> .
% 0.19/0.46  443[3:MRR:414.2,440.0] environment(u) || in_environment(u,sk2)* -> .
% 0.19/0.46  446[3:Res:50.0,443.1] environment(sk1) ||  -> .
% 0.19/0.46  447[3:SSi:446.0,21.0] ||  -> .
% 0.19/0.46  % SZS output end Refutation
% 0.19/0.46  Formulae used in the proof : mp_only_members_29 mp_subpopulations_30 mp_subpopulations_31 mp_abc_sum_increase_32 mp_abc_sum_increase_33 mp_abc_sum_increase_34 mp_abc_sum_increase_35 mp_abc_sum_increase_36 mp_abc_sum_increase_37 mp_abc_sum_increase_38 mp_abc_sum_increase_39 mp_growth_rate_40 mp_growth_rate_41 mp_growth_rate_42 mp_non_zero_producers_43 mp_non_zero_producers_44 mp_time_point_occur_45 prove_l7_47 prove_l7_48 prove_l7_49 prove_l7_50 prove_l7_51 prove_l7_52
% 0.19/0.46  
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