%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : MGT037-1 : 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 22:26:21 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : MGT037-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % 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
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jun  9 08:19:25 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.51  
% 0.18/0.51  SPASS V 3.9 
% 0.18/0.51  SPASS beiseite: Proof found.
% 0.18/0.51  % SZS status Theorem
% 0.18/0.51  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.51  SPASS derived 607 clauses, backtracked 30 clauses, performed 5 splits and kept 281 clauses.
% 0.18/0.51  SPASS allocated 76598 KBytes.
% 0.18/0.51  SPASS spent	0:00:00.17 on the problem.
% 0.18/0.51  		0:00:00.03 for the input.
% 0.18/0.51  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.51  		0:00:00.02 for inferences.
% 0.18/0.51  		0:00:00.00 for the backtracking.
% 0.18/0.51  		0:00:00.08 for the reduction.
% 0.18/0.51  
% 0.18/0.51  
% 0.18/0.51  Here is a proof with depth 14, length 181 :
% 0.18/0.51  % SZS output start Refutation
% 0.18/0.51  2[0:Inp] environment(u) || greater_or_equal(v,appear(efficient_producers,u)) equal(cardinality_at_time(efficient_producers,v),zero) -> in_environment(u,sk1(v,u))*.
% 0.18/0.51  4[0:Inp] environment(u) || greater_or_equal(v,appear(efficient_producers,u)) equal(cardinality_at_time(efficient_producers,v),zero) -> greater(zero,growth_rate(efficient_producers,sk1(v,u)))*.
% 0.18/0.51  5[0:Inp] environment(u) || in_environment(u,v) greater(appear(an_organisation,u),v)* -> equal(number_of_organizations(u,v),zero).
% 0.18/0.51  6[0:Inp] environment(u) || in_environment(u,v) -> decreases(number_of_organizations(u,v)) subpopulation(sk2(v,u),u,v)*.
% 0.18/0.51  7[0:Inp] environment(u) || in_environment(u,v) -> decreases(number_of_organizations(u,v)) greater(cardinality_at_time(sk2(v,u),v),zero)*.
% 0.18/0.51  8[0:Inp] environment(u) || in_environment(u,v) greater(zero,growth_rate(sk2(v,u),v))* -> decreases(number_of_organizations(u,v)).
% 0.18/0.51  9[0:Inp] environment(u) || in_environment(u,v) equal(number_of_organizations(u,v),zero) subpopulation(w,u,v)* -> equal(cardinality_at_time(w,v),zero).
% 0.18/0.51  10[0:Inp] environment(u) || in_environment(u,v) -> subpopulation(first_movers,u,v)*.
% 0.18/0.51  11[0:Inp] environment(u) || in_environment(u,v) -> subpopulation(efficient_producers,u,v)*.
% 0.18/0.51  12[0:Inp] || greater(zero,growth_rate(u,v))* equal(cardinality_at_time(u,v),zero) -> .
% 0.18/0.51  13[0:Inp] environment(u) || in_environment(u,v)*+ -> greater(cardinality_at_time(efficient_producers,v),zero)* equal(cardinality_at_time(efficient_producers,v),zero).
% 0.18/0.51  14[0:Inp] decreases(u) constant(u) ||  -> .
% 0.18/0.51  15[0:Inp] environment(u) || in_environment(u,v) -> greater_or_equal(v,appear(an_organisation,u)) greater(appear(an_organisation,u),v)*.
% 0.18/0.51  16[0:Inp] environment(u) || in_environment(u,v) greater(equilibrium(u),v) greater(number_of_organizations(u,v),zero)* -> decreases(resources(u,v)).
% 0.18/0.51  17[0:Inp] environment(u) || in_environment(u,v) greater(number_of_organizations(u,v),zero)* -> constant(resources(u,v)) greater(equilibrium(u),v).
% 0.18/0.51  18[0:Inp] environment(u) || in_environment(u,v) greater_or_equal(v,appear(an_organisation,u)) -> greater(number_of_organizations(u,v),zero)*.
% 0.18/0.51  19[0:Inp] environment(u) || decreases(number_of_organizations(u,v)) decreases(resources(u,v))* in_environment(u,v) -> .
% 0.18/0.51  20[0:Inp] environment(u) || constant(resources(u,v))* in_environment(u,v) -> constant(number_of_organizations(u,v)).
% 0.18/0.51  21[0:Inp] environment(u) || in_environment(u,v)* greater(zero,growth_rate(w,v))*+ greater(resilience(w),resilience(x))* -> greater(zero,growth_rate(x,v))*.
% 0.18/0.51  22[0:Inp] ||  -> greater(resilience(efficient_producers),resilience(first_movers))*.
% 0.18/0.51  23[0:Inp] environment(u) || greater(cardinality_at_time(v,w),zero)*+ subpopulation(v,u,w)* -> equal(v,first_movers) equal(v,efficient_producers).
% 0.18/0.51  24[0:Inp] ||  -> environment(sk3)*.
% 0.18/0.51  25[0:Inp] ||  -> in_environment(sk3,sk4)*.
% 0.18/0.51  26[0:Inp] ||  -> greater_or_equal(sk4,appear(efficient_producers,sk3))*.
% 0.18/0.51  27[0:Inp] || greater(cardinality_at_time(efficient_producers,sk4),zero)* -> .
% 0.18/0.51  28[0:Res:24.0,21.0] || in_environment(sk3,u) greater(zero,growth_rate(v,u))*+ greater(resilience(v),resilience(w))* -> greater(zero,growth_rate(w,u))*.
% 0.18/0.51  29[0:Res:24.0,9.0] || in_environment(sk3,u) equal(number_of_organizations(sk3,u),zero) subpopulation(v,sk3,u)* -> equal(cardinality_at_time(v,u),zero).
% 0.18/0.51  30[0:Res:24.0,16.0] || in_environment(sk3,u) greater(equilibrium(sk3),u) greater(number_of_organizations(sk3,u),zero)* -> decreases(resources(sk3,u)).
% 0.18/0.51  31[0:Res:24.0,4.0] || greater_or_equal(u,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,u),zero) -> greater(zero,growth_rate(efficient_producers,sk1(u,sk3)))*.
% 0.18/0.51  33[0:Res:24.0,17.0] || in_environment(sk3,u) greater(number_of_organizations(sk3,u),zero)* -> constant(resources(sk3,u)) greater(equilibrium(sk3),u).
% 0.18/0.51  34[0:Res:24.0,23.0] || greater(cardinality_at_time(u,v),zero)* subpopulation(u,sk3,v) -> equal(u,first_movers) equal(u,efficient_producers).
% 0.18/0.51  36[0:Res:24.0,2.0] || greater_or_equal(u,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,u),zero) -> in_environment(sk3,sk1(u,sk3))*.
% 0.18/0.51  37[0:Res:24.0,8.0] || in_environment(sk3,u) greater(zero,growth_rate(sk2(u,sk3),u))* -> decreases(number_of_organizations(sk3,u)).
% 0.18/0.51  38[0:Res:24.0,5.0] || in_environment(sk3,u) greater(appear(an_organisation,sk3),u)* -> equal(number_of_organizations(sk3,u),zero).
% 0.18/0.51  39[0:Res:24.0,7.0] || in_environment(sk3,u) -> decreases(number_of_organizations(sk3,u)) greater(cardinality_at_time(sk2(u,sk3),u),zero)*.
% 0.18/0.51  40[0:Res:24.0,18.0] || greater_or_equal(u,appear(an_organisation,sk3)) in_environment(sk3,u) -> greater(number_of_organizations(sk3,u),zero)*.
% 0.18/0.51  41[0:Res:24.0,6.0] || in_environment(sk3,u) -> decreases(number_of_organizations(sk3,u)) subpopulation(sk2(u,sk3),sk3,u)*.
% 0.18/0.51  43[0:Res:24.0,15.0] || in_environment(sk3,u) -> greater_or_equal(u,appear(an_organisation,sk3)) greater(appear(an_organisation,sk3),u)*.
% 0.18/0.51  44[0:Res:24.0,19.0] || decreases(number_of_organizations(sk3,u)) decreases(resources(sk3,u))* in_environment(sk3,u) -> .
% 0.18/0.51  45[0:Res:24.0,20.0] || constant(resources(sk3,u))* in_environment(sk3,u) -> constant(number_of_organizations(sk3,u)).
% 0.18/0.51  46[0:Res:24.0,10.0] || in_environment(sk3,u) -> subpopulation(first_movers,sk3,u)*.
% 0.18/0.51  47[0:Res:24.0,11.0] || in_environment(sk3,u) -> subpopulation(efficient_producers,sk3,u)*.
% 0.18/0.51  57[0:Res:25.0,13.1] environment(sk3) ||  -> equal(cardinality_at_time(efficient_producers,sk4),zero) greater(cardinality_at_time(efficient_producers,sk4),zero)*.
% 0.18/0.51  67[0:MRR:57.0,57.2,24.0,27.0] ||  -> equal(cardinality_at_time(efficient_producers,sk4),zero)**.
% 0.18/0.51  68[0:Rew:67.0,27.0] || greater(zero,zero)* -> .
% 0.18/0.51  111[0:Res:43.2,38.1] || in_environment(sk3,u) in_environment(sk3,u) -> greater_or_equal(u,appear(an_organisation,sk3))* equal(number_of_organizations(sk3,u),zero).
% 0.18/0.51  112[0:Obv:111.0] || in_environment(sk3,u) -> greater_or_equal(u,appear(an_organisation,sk3))* equal(number_of_organizations(sk3,u),zero).
% 0.18/0.51  129[0:Res:39.2,34.0] || in_environment(sk3,u) subpopulation(sk2(u,sk3),sk3,u)* -> decreases(number_of_organizations(sk3,u)) equal(sk2(u,sk3),first_movers) equal(sk2(u,sk3),efficient_producers).
% 0.18/0.51  130[0:MRR:129.1,41.2] || in_environment(sk3,u) -> decreases(number_of_organizations(sk3,u))* equal(sk2(u,sk3),first_movers) equal(sk2(u,sk3),efficient_producers).
% 0.18/0.51  134[0:Res:40.2,33.1] || greater_or_equal(u,appear(an_organisation,sk3))* in_environment(sk3,u) in_environment(sk3,u) -> constant(resources(sk3,u)) greater(equilibrium(sk3),u).
% 0.18/0.51  135[0:Obv:134.1] || greater_or_equal(u,appear(an_organisation,sk3))* in_environment(sk3,u) -> constant(resources(sk3,u)) greater(equilibrium(sk3),u).
% 0.18/0.51  137[0:Res:112.1,135.0] || in_environment(sk3,u) in_environment(sk3,u) -> equal(number_of_organizations(sk3,u),zero) constant(resources(sk3,u))* greater(equilibrium(sk3),u).
% 0.18/0.51  138[0:Obv:137.0] || in_environment(sk3,u) -> equal(number_of_organizations(sk3,u),zero) constant(resources(sk3,u))* greater(equilibrium(sk3),u).
% 0.18/0.51  142[0:Res:15.3,5.2] environment(u) environment(u) || in_environment(u,v) in_environment(u,v) -> greater_or_equal(v,appear(an_organisation,u))* equal(number_of_organizations(u,v),zero).
% 0.18/0.51  145[0:Obv:142.2] environment(u) || in_environment(u,v) -> greater_or_equal(v,appear(an_organisation,u))* equal(number_of_organizations(u,v),zero).
% 0.18/0.51  147[0:Res:138.2,45.0] || in_environment(sk3,u) in_environment(sk3,u) -> equal(number_of_organizations(sk3,u),zero) greater(equilibrium(sk3),u) constant(number_of_organizations(sk3,u))*.
% 0.18/0.51  149[0:Obv:147.0] || in_environment(sk3,u) -> equal(number_of_organizations(sk3,u),zero) greater(equilibrium(sk3),u) constant(number_of_organizations(sk3,u))*.
% 0.18/0.51  151[0:EmS:14.0,14.1,130.1,149.3] || in_environment(sk3,u) in_environment(sk3,u) -> equal(sk2(u,sk3),first_movers) equal(sk2(u,sk3),efficient_producers) greater(equilibrium(sk3),u)* equal(number_of_organizations(sk3,u),zero).
% 0.18/0.51  153[0:Obv:151.0] || in_environment(sk3,u) -> equal(sk2(u,sk3),first_movers) equal(sk2(u,sk3),efficient_producers) greater(equilibrium(sk3),u)* equal(number_of_organizations(sk3,u),zero).
% 0.18/0.51  159[0:Res:31.2,12.0] || greater_or_equal(u,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,u),zero) equal(cardinality_at_time(efficient_producers,sk1(u,sk3)),zero)** -> .
% 0.18/0.51  161[0:Res:40.2,30.2] || greater_or_equal(u,appear(an_organisation,sk3))* in_environment(sk3,u) in_environment(sk3,u) greater(equilibrium(sk3),u) -> decreases(resources(sk3,u)).
% 0.18/0.51  163[0:Obv:161.1] || greater_or_equal(u,appear(an_organisation,sk3))* in_environment(sk3,u) greater(equilibrium(sk3),u) -> decreases(resources(sk3,u)).
% 0.18/0.51  165[0:Res:112.1,163.0] || in_environment(sk3,u) in_environment(sk3,u) greater(equilibrium(sk3),u) -> equal(number_of_organizations(sk3,u),zero) decreases(resources(sk3,u))*.
% 0.18/0.51  167[0:Obv:165.0] || in_environment(sk3,u) greater(equilibrium(sk3),u) -> equal(number_of_organizations(sk3,u),zero) decreases(resources(sk3,u))*.
% 0.18/0.51  172[0:Res:167.3,44.1] || in_environment(sk3,u) greater(equilibrium(sk3),u) decreases(number_of_organizations(sk3,u))* in_environment(sk3,u) -> equal(number_of_organizations(sk3,u),zero).
% 0.18/0.51  174[0:Obv:172.0] || greater(equilibrium(sk3),u) decreases(number_of_organizations(sk3,u))* in_environment(sk3,u) -> equal(number_of_organizations(sk3,u),zero).
% 0.18/0.51  177[0:Res:130.1,174.1] || in_environment(sk3,u) greater(equilibrium(sk3),u)* in_environment(sk3,u) -> equal(sk2(u,sk3),first_movers) equal(sk2(u,sk3),efficient_producers) equal(number_of_organizations(sk3,u),zero).
% 0.18/0.51  178[0:Obv:177.0] || greater(equilibrium(sk3),u)* in_environment(sk3,u) -> equal(sk2(u,sk3),first_movers) equal(sk2(u,sk3),efficient_producers) equal(number_of_organizations(sk3,u),zero).
% 0.18/0.51  179[0:MRR:178.0,153.3] || in_environment(sk3,u) -> equal(sk2(u,sk3),first_movers)** equal(sk2(u,sk3),efficient_producers) equal(number_of_organizations(sk3,u),zero).
% 0.18/0.51  187[0:SpL:179.1,37.1] || in_environment(sk3,u) in_environment(sk3,u) greater(zero,growth_rate(first_movers,u))* -> equal(sk2(u,sk3),efficient_producers) equal(number_of_organizations(sk3,u),zero) decreases(number_of_organizations(sk3,u)).
% 0.18/0.51  191[0:Obv:187.0] || in_environment(sk3,u) greater(zero,growth_rate(first_movers,u))* -> equal(sk2(u,sk3),efficient_producers) equal(number_of_organizations(sk3,u),zero) decreases(number_of_organizations(sk3,u)).
% 0.18/0.51  213[0:Res:47.1,29.2] || in_environment(sk3,u) in_environment(sk3,u) equal(number_of_organizations(sk3,u),zero)** -> equal(cardinality_at_time(efficient_producers,u),zero).
% 0.18/0.51  214[0:Res:46.1,29.2] || in_environment(sk3,u) in_environment(sk3,u) equal(number_of_organizations(sk3,u),zero)** -> equal(cardinality_at_time(first_movers,u),zero).
% 0.18/0.51  215[0:Res:41.2,29.2] || in_environment(sk3,u) in_environment(sk3,u) equal(number_of_organizations(sk3,u),zero) -> decreases(number_of_organizations(sk3,u)) equal(cardinality_at_time(sk2(u,sk3),u),zero)**.
% 0.18/0.51  219[0:Obv:213.0] || in_environment(sk3,u) equal(number_of_organizations(sk3,u),zero)** -> equal(cardinality_at_time(efficient_producers,u),zero).
% 0.18/0.51  220[0:Obv:214.0] || in_environment(sk3,u) equal(number_of_organizations(sk3,u),zero)** -> equal(cardinality_at_time(first_movers,u),zero).
% 0.18/0.51  223[0:Obv:215.0] || in_environment(sk3,u) equal(number_of_organizations(sk3,u),zero) -> decreases(number_of_organizations(sk3,u)) equal(cardinality_at_time(sk2(u,sk3),u),zero)**.
% 0.18/0.51  235[0:Res:7.3,23.1] environment(u) environment(v) || in_environment(u,w) subpopulation(sk2(w,u),v,w)* -> decreases(number_of_organizations(u,w)) equal(sk2(w,u),first_movers) equal(sk2(w,u),efficient_producers).
% 0.18/0.51  237[0:SpR:223.3,39.2] || in_environment(sk3,u) equal(number_of_organizations(sk3,u),zero) in_environment(sk3,u) -> decreases(number_of_organizations(sk3,u))* decreases(number_of_organizations(sk3,u))* greater(zero,zero).
% 0.18/0.51  244[0:Obv:237.3] || equal(number_of_organizations(sk3,u),zero) in_environment(sk3,u) -> decreases(number_of_organizations(sk3,u))* greater(zero,zero).
% 0.18/0.51  245[0:MRR:244.3,68.0] || equal(number_of_organizations(sk3,u),zero) in_environment(sk3,u) -> decreases(number_of_organizations(sk3,u))*.
% 0.18/0.51  250[0:Res:31.2,28.1] || greater_or_equal(u,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,u),zero) in_environment(sk3,sk1(u,sk3)) greater(resilience(efficient_producers),resilience(v)) -> greater(zero,growth_rate(v,sk1(u,sk3)))*.
% 0.18/0.51  251[0:MRR:250.2,36.2] || greater_or_equal(u,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,u),zero) greater(resilience(efficient_producers),resilience(v)) -> greater(zero,growth_rate(v,sk1(u,sk3)))*.
% 0.18/0.51  254[0:Res:18.3,17.2] environment(u) environment(u) || in_environment(u,v) greater_or_equal(v,appear(an_organisation,u))* in_environment(u,v) -> constant(resources(u,v)) greater(equilibrium(u),v).
% 0.18/0.51  256[0:Obv:254.2] environment(u) || greater_or_equal(v,appear(an_organisation,u))* in_environment(u,v) -> constant(resources(u,v)) greater(equilibrium(u),v).
% 0.18/0.51  258[0:Res:145.2,256.1] environment(u) environment(u) || in_environment(u,v) in_environment(u,v) -> equal(number_of_organizations(u,v),zero) constant(resources(u,v))* greater(equilibrium(u),v).
% 0.18/0.51  260[0:Obv:258.2] environment(u) || in_environment(u,v) -> equal(number_of_organizations(u,v),zero) constant(resources(u,v))* greater(equilibrium(u),v).
% 0.18/0.51  265[0:Res:260.3,20.1] environment(u) environment(u) || in_environment(u,v) in_environment(u,v) -> equal(number_of_organizations(u,v),zero) greater(equilibrium(u),v) constant(number_of_organizations(u,v))*.
% 0.18/0.51  267[0:Obv:265.2] environment(u) || in_environment(u,v) -> equal(number_of_organizations(u,v),zero) greater(equilibrium(u),v) constant(number_of_organizations(u,v))*.
% 0.18/0.51  277[0:Res:18.3,16.3] environment(u) environment(u) || in_environment(u,v) greater_or_equal(v,appear(an_organisation,u))* in_environment(u,v) greater(equilibrium(u),v) -> decreases(resources(u,v)).
% 0.18/0.51  279[0:Obv:277.2] environment(u) || greater_or_equal(v,appear(an_organisation,u))* in_environment(u,v) greater(equilibrium(u),v) -> decreases(resources(u,v)).
% 0.18/0.51  281[0:Res:145.2,279.1] environment(u) environment(u) || in_environment(u,v) in_environment(u,v) greater(equilibrium(u),v) -> equal(number_of_organizations(u,v),zero) decreases(resources(u,v))*.
% 0.18/0.51  283[0:Obv:281.2] environment(u) || in_environment(u,v) greater(equilibrium(u),v) -> equal(number_of_organizations(u,v),zero) decreases(resources(u,v))*.
% 0.18/0.51  289[0:Res:283.4,19.2] environment(u) environment(u) || in_environment(u,v) greater(equilibrium(u),v) decreases(number_of_organizations(u,v))* in_environment(u,v) -> equal(number_of_organizations(u,v),zero).
% 0.18/0.51  291[0:Obv:289.2] environment(u) || greater(equilibrium(u),v) decreases(number_of_organizations(u,v))* in_environment(u,v) -> equal(number_of_organizations(u,v),zero).
% 0.18/0.51  299[0:Res:6.3,9.3] environment(u) environment(u) || in_environment(u,v) in_environment(u,v) equal(number_of_organizations(u,v),zero) -> decreases(number_of_organizations(u,v)) equal(cardinality_at_time(sk2(v,u),v),zero)**.
% 0.18/0.51  305[0:Obv:299.2] environment(u) || in_environment(u,v) equal(number_of_organizations(u,v),zero) -> decreases(number_of_organizations(u,v)) equal(cardinality_at_time(sk2(v,u),v),zero)**.
% 0.18/0.51  322[0:SpR:305.4,7.3] environment(u) environment(u) || in_environment(u,v) equal(number_of_organizations(u,v),zero) in_environment(u,v) -> decreases(number_of_organizations(u,v))* decreases(number_of_organizations(u,v))* greater(zero,zero).
% 0.18/0.51  329[0:Obv:322.5] environment(u) || equal(number_of_organizations(u,v),zero) in_environment(u,v) -> decreases(number_of_organizations(u,v))* greater(zero,zero).
% 0.18/0.51  330[0:MRR:329.4,68.0] environment(u) || equal(number_of_organizations(u,v),zero) in_environment(u,v) -> decreases(number_of_organizations(u,v))*.
% 0.18/0.51  356[0:Res:251.3,12.0] || greater_or_equal(u,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,u),zero) greater(resilience(efficient_producers),resilience(v)) equal(cardinality_at_time(v,sk1(u,sk3)),zero)** -> .
% 0.18/0.51  359[0:Res:251.3,28.1] || greater_or_equal(u,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,u),zero) greater(resilience(efficient_producers),resilience(v))* in_environment(sk3,sk1(u,sk3)) greater(resilience(v),resilience(w))* -> greater(zero,growth_rate(w,sk1(u,sk3)))*.
% 0.18/0.51  364[0:MRR:359.3,36.2] || greater_or_equal(u,appear(efficient_producers,sk3))+ equal(cardinality_at_time(efficient_producers,u),zero) greater(resilience(efficient_producers),resilience(v))* greater(resilience(v),resilience(w))* -> greater(zero,growth_rate(w,sk1(u,sk3)))*.
% 0.18/0.51  369[0:Res:6.3,235.3] environment(u) environment(u) environment(u) || in_environment(u,v) in_environment(u,v) -> decreases(number_of_organizations(u,v))* decreases(number_of_organizations(u,v))* equal(sk2(v,u),first_movers) equal(sk2(v,u),efficient_producers).
% 0.18/0.51  372[0:Obv:369.5] environment(u) || in_environment(u,v) -> decreases(number_of_organizations(u,v))* equal(sk2(v,u),first_movers) equal(sk2(v,u),efficient_producers).
% 0.18/0.51  375[0:EmS:14.0,14.1,372.2,267.4] environment(u) environment(u) || in_environment(u,v) in_environment(u,v) -> equal(sk2(v,u),first_movers) equal(sk2(v,u),efficient_producers) greater(equilibrium(u),v)* equal(number_of_organizations(u,v),zero).
% 0.18/0.51  379[0:Res:372.2,291.2] environment(u) environment(u) || in_environment(u,v) greater(equilibrium(u),v)* in_environment(u,v) -> equal(sk2(v,u),first_movers) equal(sk2(v,u),efficient_producers) equal(number_of_organizations(u,v),zero).
% 0.18/0.51  382[0:Obv:375.2] environment(u) || in_environment(u,v) -> equal(sk2(v,u),first_movers) equal(sk2(v,u),efficient_producers) greater(equilibrium(u),v)* equal(number_of_organizations(u,v),zero).
% 0.18/0.51  383[0:Obv:379.2] environment(u) || greater(equilibrium(u),v)* in_environment(u,v) -> equal(sk2(v,u),first_movers) equal(sk2(v,u),efficient_producers) equal(number_of_organizations(u,v),zero).
% 0.18/0.51  384[0:MRR:383.1,382.4] environment(u) || in_environment(u,v) -> equal(sk2(v,u),first_movers)** equal(sk2(v,u),efficient_producers) equal(number_of_organizations(u,v),zero).
% 0.18/0.51  395[0:SpL:384.2,8.2] environment(u) environment(u) || in_environment(u,v) in_environment(u,v) greater(zero,growth_rate(first_movers,v))* -> equal(sk2(v,u),efficient_producers) equal(number_of_organizations(u,v),zero) decreases(number_of_organizations(u,v))*.
% 0.18/0.51  402[0:Obv:395.2] environment(u) || in_environment(u,v) greater(zero,growth_rate(first_movers,v))* -> equal(sk2(v,u),efficient_producers) equal(number_of_organizations(u,v),zero) decreases(number_of_organizations(u,v))*.
% 0.18/0.51  403[0:MRR:402.4,330.1] environment(u) || in_environment(u,v) greater(zero,growth_rate(first_movers,v))*+ -> equal(sk2(v,u),efficient_producers) decreases(number_of_organizations(u,v))*.
% 0.18/0.51  485[0:EmS:14.0,14.1,403.4,149.3] environment(sk3) || in_environment(sk3,u) greater(zero,growth_rate(first_movers,u))* in_environment(sk3,u) -> equal(sk2(u,sk3),efficient_producers) greater(equilibrium(sk3),u) equal(number_of_organizations(sk3,u),zero).
% 0.18/0.51  486[0:Res:251.3,403.2] environment(u) || greater_or_equal(v,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,v),zero) greater(resilience(efficient_producers),resilience(first_movers)) in_environment(u,sk1(v,sk3)) -> equal(sk2(sk1(v,sk3),u),efficient_producers) decreases(number_of_organizations(u,sk1(v,sk3)))*.
% 0.18/0.51  487[0:Obv:485.1] environment(sk3) || greater(zero,growth_rate(first_movers,u))* in_environment(sk3,u) -> equal(sk2(u,sk3),efficient_producers) greater(equilibrium(sk3),u) equal(number_of_organizations(sk3,u),zero).
% 0.18/0.51  488[0:SSi:487.0,24.0] || greater(zero,growth_rate(first_movers,u))* in_environment(sk3,u) -> equal(sk2(u,sk3),efficient_producers) greater(equilibrium(sk3),u) equal(number_of_organizations(sk3,u),zero).
% 0.18/0.51  490[0:MRR:486.3,22.0] environment(u) || greater_or_equal(v,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,v),zero) in_environment(u,sk1(v,sk3)) -> equal(sk2(sk1(v,sk3),u),efficient_producers) decreases(number_of_organizations(u,sk1(v,sk3)))*.
% 0.18/0.51  499[0:Res:251.3,488.0] || greater_or_equal(u,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,u),zero) greater(resilience(efficient_producers),resilience(first_movers)) in_environment(sk3,sk1(u,sk3)) -> equal(sk2(sk1(u,sk3),sk3),efficient_producers) greater(equilibrium(sk3),sk1(u,sk3))* equal(number_of_organizations(sk3,sk1(u,sk3)),zero).
% 0.18/0.51  500[0:MRR:499.2,499.3,22.0,36.2] || greater_or_equal(u,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,u),zero) -> equal(sk2(sk1(u,sk3),sk3),efficient_producers) greater(equilibrium(sk3),sk1(u,sk3))* equal(number_of_organizations(sk3,sk1(u,sk3)),zero).
% 0.18/0.51  610[0:Res:26.0,364.0] || equal(cardinality_at_time(efficient_producers,sk4),zero) greater(resilience(efficient_producers),resilience(u))* greater(resilience(u),resilience(v))* -> greater(zero,growth_rate(v,sk1(sk4,sk3)))*.
% 0.18/0.51  611[0:Rew:67.0,610.0] || equal(zero,zero) greater(resilience(efficient_producers),resilience(u))* greater(resilience(u),resilience(v))* -> greater(zero,growth_rate(v,sk1(sk4,sk3)))*.
% 0.18/0.51  612[0:Obv:611.0] || greater(resilience(efficient_producers),resilience(u))*+ greater(resilience(u),resilience(v))* -> greater(zero,growth_rate(v,sk1(sk4,sk3)))*.
% 0.18/0.51  613[0:Res:22.0,612.0] || greater(resilience(first_movers),resilience(u)) -> greater(zero,growth_rate(u,sk1(sk4,sk3)))*.
% 0.18/0.51  619[0:Res:613.1,191.1] || greater(resilience(first_movers),resilience(first_movers)) in_environment(sk3,sk1(sk4,sk3)) -> equal(sk2(sk1(sk4,sk3),sk3),efficient_producers) equal(number_of_organizations(sk3,sk1(sk4,sk3)),zero) decreases(number_of_organizations(sk3,sk1(sk4,sk3)))*.
% 0.18/0.51  623[0:MRR:619.3,245.0] || greater(resilience(first_movers),resilience(first_movers)) in_environment(sk3,sk1(sk4,sk3)) -> equal(sk2(sk1(sk4,sk3),sk3),efficient_producers) decreases(number_of_organizations(sk3,sk1(sk4,sk3)))*.
% 0.18/0.51  643[1:Spt:623.2] ||  -> equal(sk2(sk1(sk4,sk3),sk3),efficient_producers)**.
% 0.18/0.51  646[1:SpR:643.0,39.2] || in_environment(sk3,sk1(sk4,sk3)) -> decreases(number_of_organizations(sk3,sk1(sk4,sk3))) greater(cardinality_at_time(efficient_producers,sk1(sk4,sk3)),zero)*.
% 0.18/0.51  652[1:SpL:643.0,37.1] || in_environment(sk3,sk1(sk4,sk3)) greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))* -> decreases(number_of_organizations(sk3,sk1(sk4,sk3))).
% 0.18/0.51  683[2:Spt:646.1] ||  -> decreases(number_of_organizations(sk3,sk1(sk4,sk3)))*.
% 0.18/0.51  685[2:EmS:14.0,14.1,683.0,149.3] || in_environment(sk3,sk1(sk4,sk3)) -> greater(equilibrium(sk3),sk1(sk4,sk3))* equal(number_of_organizations(sk3,sk1(sk4,sk3)),zero).
% 0.18/0.51  686[2:Res:683.0,174.1] || greater(equilibrium(sk3),sk1(sk4,sk3))* in_environment(sk3,sk1(sk4,sk3)) -> equal(number_of_organizations(sk3,sk1(sk4,sk3)),zero).
% 0.18/0.51  688[2:MRR:686.0,685.1] || in_environment(sk3,sk1(sk4,sk3)) -> equal(number_of_organizations(sk3,sk1(sk4,sk3)),zero)**.
% 0.18/0.51  699[2:SpL:688.1,219.1] || in_environment(sk3,sk1(sk4,sk3)) in_environment(sk3,sk1(sk4,sk3)) equal(zero,zero) -> equal(cardinality_at_time(efficient_producers,sk1(sk4,sk3)),zero)**.
% 0.18/0.51  704[2:Obv:699.2] || in_environment(sk3,sk1(sk4,sk3)) -> equal(cardinality_at_time(efficient_producers,sk1(sk4,sk3)),zero)**.
% 0.18/0.51  721[2:SpL:704.1,159.2] || in_environment(sk3,sk1(sk4,sk3))* greater_or_equal(sk4,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,sk4),zero) equal(zero,zero) -> .
% 0.18/0.51  727[2:Obv:721.3] || in_environment(sk3,sk1(sk4,sk3))* greater_or_equal(sk4,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,sk4),zero) -> .
% 0.18/0.51  728[2:Rew:67.0,727.2] || in_environment(sk3,sk1(sk4,sk3))* greater_or_equal(sk4,appear(efficient_producers,sk3)) equal(zero,zero) -> .
% 0.18/0.51  729[2:Obv:728.2] || in_environment(sk3,sk1(sk4,sk3))* greater_or_equal(sk4,appear(efficient_producers,sk3)) -> .
% 0.18/0.51  730[2:MRR:729.1,26.0] || in_environment(sk3,sk1(sk4,sk3))* -> .
% 0.18/0.51  735[2:Res:2.3,730.0] environment(sk3) || greater_or_equal(sk4,appear(efficient_producers,sk3))* equal(cardinality_at_time(efficient_producers,sk4),zero) -> .
% 0.18/0.51  739[2:Rew:67.0,735.2] environment(sk3) || greater_or_equal(sk4,appear(efficient_producers,sk3))* equal(zero,zero) -> .
% 0.18/0.51  740[2:Obv:739.2] environment(sk3) || greater_or_equal(sk4,appear(efficient_producers,sk3))* -> .
% 0.18/0.51  741[2:SSi:740.0,24.0] || greater_or_equal(sk4,appear(efficient_producers,sk3))* -> .
% 0.18/0.51  742[2:MRR:741.0,26.0] ||  -> .
% 0.18/0.51  743[2:Spt:742.0,646.1,683.0] || decreases(number_of_organizations(sk3,sk1(sk4,sk3)))* -> .
% 0.34/0.52  744[2:Spt:742.0,646.0,646.2] || in_environment(sk3,sk1(sk4,sk3)) -> greater(cardinality_at_time(efficient_producers,sk1(sk4,sk3)),zero)*.
% 0.34/0.52  746[2:MRR:652.2,743.0] || in_environment(sk3,sk1(sk4,sk3)) greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))* -> .
% 0.34/0.52  751[2:Res:31.2,746.1] || greater_or_equal(sk4,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,sk4),zero) in_environment(sk3,sk1(sk4,sk3))* -> .
% 0.34/0.52  756[2:Rew:67.0,751.1] || greater_or_equal(sk4,appear(efficient_producers,sk3)) equal(zero,zero) in_environment(sk3,sk1(sk4,sk3))* -> .
% 0.34/0.52  757[2:Obv:756.1] || greater_or_equal(sk4,appear(efficient_producers,sk3)) in_environment(sk3,sk1(sk4,sk3))* -> .
% 0.34/0.52  758[2:MRR:757.0,26.0] || in_environment(sk3,sk1(sk4,sk3))* -> .
% 0.34/0.52  762[2:Res:2.3,758.0] environment(sk3) || greater_or_equal(sk4,appear(efficient_producers,sk3))* equal(cardinality_at_time(efficient_producers,sk4),zero) -> .
% 0.34/0.52  766[2:Rew:67.0,762.2] environment(sk3) || greater_or_equal(sk4,appear(efficient_producers,sk3))* equal(zero,zero) -> .
% 0.34/0.52  767[2:Obv:766.2] environment(sk3) || greater_or_equal(sk4,appear(efficient_producers,sk3))* -> .
% 0.34/0.52  768[2:SSi:767.0,24.0] || greater_or_equal(sk4,appear(efficient_producers,sk3))* -> .
% 0.34/0.52  769[2:MRR:768.0,26.0] ||  -> .
% 0.34/0.52  770[1:Spt:769.0,623.2,643.0] || equal(sk2(sk1(sk4,sk3),sk3),efficient_producers)** -> .
% 0.34/0.52  771[1:Spt:769.0,623.0,623.1,623.3] || greater(resilience(first_movers),resilience(first_movers)) in_environment(sk3,sk1(sk4,sk3)) -> decreases(number_of_organizations(sk3,sk1(sk4,sk3)))*.
% 0.34/0.52  962[0:Res:490.5,174.1] environment(sk3) || greater_or_equal(u,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,u),zero) in_environment(sk3,sk1(u,sk3)) greater(equilibrium(sk3),sk1(u,sk3))* in_environment(sk3,sk1(u,sk3)) -> equal(sk2(sk1(u,sk3),sk3),efficient_producers) equal(number_of_organizations(sk3,sk1(u,sk3)),zero).
% 0.34/0.52  965[0:Obv:962.3] environment(sk3) || greater_or_equal(u,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,u),zero) greater(equilibrium(sk3),sk1(u,sk3))* in_environment(sk3,sk1(u,sk3)) -> equal(sk2(sk1(u,sk3),sk3),efficient_producers) equal(number_of_organizations(sk3,sk1(u,sk3)),zero).
% 0.34/0.52  966[0:SSi:965.0,24.0] || greater_or_equal(u,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,u),zero) greater(equilibrium(sk3),sk1(u,sk3))* in_environment(sk3,sk1(u,sk3)) -> equal(sk2(sk1(u,sk3),sk3),efficient_producers) equal(number_of_organizations(sk3,sk1(u,sk3)),zero).
% 0.34/0.52  967[0:MRR:966.3,36.2] || greater_or_equal(u,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,u),zero) greater(equilibrium(sk3),sk1(u,sk3))* -> equal(sk2(sk1(u,sk3),sk3),efficient_producers) equal(number_of_organizations(sk3,sk1(u,sk3)),zero).
% 0.34/0.52  968[0:MRR:967.2,500.3] || greater_or_equal(u,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,u),zero) -> equal(sk2(sk1(u,sk3),sk3),efficient_producers)** equal(number_of_organizations(sk3,sk1(u,sk3)),zero).
% 0.34/0.52  1003[1:SpL:968.2,770.0] || greater_or_equal(sk4,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,sk4),zero) equal(efficient_producers,efficient_producers) -> equal(number_of_organizations(sk3,sk1(sk4,sk3)),zero)**.
% 0.34/0.52  1007[1:Obv:1003.2] || greater_or_equal(sk4,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,sk4),zero) -> equal(number_of_organizations(sk3,sk1(sk4,sk3)),zero)**.
% 0.34/0.52  1008[1:Rew:67.0,1007.1] || greater_or_equal(sk4,appear(efficient_producers,sk3)) equal(zero,zero) -> equal(number_of_organizations(sk3,sk1(sk4,sk3)),zero)**.
% 0.34/0.52  1009[1:Obv:1008.1] || greater_or_equal(sk4,appear(efficient_producers,sk3)) -> equal(number_of_organizations(sk3,sk1(sk4,sk3)),zero)**.
% 0.34/0.52  1010[1:MRR:1009.0,26.0] ||  -> equal(number_of_organizations(sk3,sk1(sk4,sk3)),zero)**.
% 0.34/0.52  1025[1:SpL:1010.0,220.1] || in_environment(sk3,sk1(sk4,sk3)) equal(zero,zero) -> equal(cardinality_at_time(first_movers,sk1(sk4,sk3)),zero)**.
% 0.34/0.52  1031[1:Obv:1025.1] || in_environment(sk3,sk1(sk4,sk3)) -> equal(cardinality_at_time(first_movers,sk1(sk4,sk3)),zero)**.
% 0.34/0.52  1040[1:SpL:1031.1,356.3] || in_environment(sk3,sk1(sk4,sk3)) greater_or_equal(sk4,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,sk4),zero) greater(resilience(efficient_producers),resilience(first_movers))* equal(zero,zero) -> .
% 0.34/0.52  1044[1:Obv:1040.4] || in_environment(sk3,sk1(sk4,sk3)) greater_or_equal(sk4,appear(efficient_producers,sk3)) equal(cardinality_at_time(efficient_producers,sk4),zero) greater(resilience(efficient_producers),resilience(first_movers))* -> .
% 0.34/0.52  1045[1:Rew:67.0,1044.2] || in_environment(sk3,sk1(sk4,sk3)) greater_or_equal(sk4,appear(efficient_producers,sk3)) equal(zero,zero) greater(resilience(efficient_producers),resilience(first_movers))* -> .
% 0.34/0.52  1046[1:Obv:1045.2] || in_environment(sk3,sk1(sk4,sk3)) greater_or_equal(sk4,appear(efficient_producers,sk3)) greater(resilience(efficient_producers),resilience(first_movers))* -> .
% 0.34/0.52  1047[1:MRR:1046.1,1046.2,26.0,22.0] || in_environment(sk3,sk1(sk4,sk3))* -> .
% 0.34/0.52  1052[1:Res:2.3,1047.0] environment(sk3) || greater_or_equal(sk4,appear(efficient_producers,sk3))* equal(cardinality_at_time(efficient_producers,sk4),zero) -> .
% 0.34/0.52  1056[1:Rew:67.0,1052.2] environment(sk3) || greater_or_equal(sk4,appear(efficient_producers,sk3))* equal(zero,zero) -> .
% 0.34/0.52  1057[1:Obv:1056.2] environment(sk3) || greater_or_equal(sk4,appear(efficient_producers,sk3))* -> .
% 0.34/0.52  1058[1:SSi:1057.0,24.0] || greater_or_equal(sk4,appear(efficient_producers,sk3))* -> .
% 0.34/0.52  1059[1:MRR:1058.0,26.0] ||  -> .
% 0.34/0.52  % SZS output end Refutation
% 0.34/0.52  Formulae used in the proof : mp_previous_negative_growth_29 mp_previous_negative_growth_31 mp_start_of_organizations_32 mp_non_decreasing_33 mp_non_decreasing_34 mp_non_decreasing_35 mp_no_members_36 mp_subpopulations_37 mp_subpopulations_38 mp_empty_not_decreasing_39 mp_efficient_producers_exist_40 mp_constant_not_decrease_41 mp_environment_inequality_42 a3_43 a3_44 a1_45 a6_46 a6_47 a12_48 a2_49 a9_50 prove_t6_51 prove_t6_52 prove_t6_53 prove_t6_54
% 0.34/0.52  
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