%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : MGT020+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n027.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 22:06:59 EDT 2022

% Result   : Theorem 5.12s 1.89s
% Output   : Proof 9.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MGT020+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.12/0.33  % Computer : n027.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 12:43:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.60/0.60          ____       _                          
% 0.60/0.60    ___  / __ \_____(_)___  ________  __________
% 0.60/0.60   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.60/0.60  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.60/0.60  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.60/0.60  
% 0.60/0.60  A Theorem Prover for First-Order Logic
% 0.60/0.60  (ePrincess v.1.0)
% 0.60/0.60  
% 0.60/0.60  (c) Philipp Rümmer, 2009-2015
% 0.60/0.60  (c) Peter Backeman, 2014-2015
% 0.60/0.60  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.60/0.60  Free software under GNU Lesser General Public License (LGPL).
% 0.60/0.60  Bug reports to peter@backeman.se
% 0.60/0.60  
% 0.60/0.60  For more information, visit http://user.uu.se/~petba168/breu/
% 0.60/0.60  
% 0.60/0.60  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.75/0.65  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.53/0.94  Prover 0: Preprocessing ...
% 1.89/1.15  Prover 0: Constructing countermodel ...
% 2.83/1.34  Prover 0: gave up
% 2.83/1.34  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.83/1.37  Prover 1: Preprocessing ...
% 3.10/1.45  Prover 1: Constructing countermodel ...
% 3.81/1.60  Prover 1: gave up
% 3.81/1.60  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 3.81/1.62  Prover 2: Preprocessing ...
% 4.51/1.75  Prover 2: Warning: ignoring some quantifiers
% 4.51/1.76  Prover 2: Constructing countermodel ...
% 5.12/1.89  Prover 2: proved (287ms)
% 5.12/1.89  
% 5.12/1.89  No countermodel exists, formula is valid
% 5.12/1.89  % SZS status Theorem for theBenchmark
% 5.12/1.89  
% 5.12/1.89  Generating proof ... Warning: ignoring some quantifiers
% 8.79/2.76  found it (size 163)
% 8.79/2.76  
% 8.79/2.76  % SZS output start Proof for theBenchmark
% 8.79/2.76  Assumed formulas after preprocessing and simplification: 
% 8.79/2.76  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & greater(v2, v3) = v4 & subpopulations(first_movers, efficient_producers, v0, v1) = 0 & environment(v0) = 0 & disbanding_rate(efficient_producers, v1) = v3 & disbanding_rate(first_movers, v1) = v2 &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v17 = 0 | v14 = 0 |  ~ (greater(v15, v16) = v17) |  ~ (greater(v9, v10) = 0) |  ~ (environment(v5) = 0) |  ~ (disbanding_rate(efficient_producers, v8) = v16) |  ~ (disbanding_rate(efficient_producers, v7) = v10) |  ~ (disbanding_rate(efficient_producers, v6) = v12) |  ~ (disbanding_rate(first_movers, v8) = v15) |  ~ (disbanding_rate(first_movers, v7) = v9) |  ~ (disbanding_rate(first_movers, v6) = v11) |  ~ (difference(v11, v12) = v13) |  ~ (decreases(v13) = v14) |  ? [v18] : (( ~ (v18 = 0) & greater_or_equal(v8, v6) = v18) | ( ~ (v18 = 0) & greater_or_equal(v6, v7) = v18) | ( ~ (v18 = 0) & subpopulations(first_movers, efficient_producers, v5, v8) = v18))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = 0 |  ~ (greater(v9, v10) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v5, v8) = 0) |  ~ (disbanding_rate(efficient_producers, v7) = v10) |  ~ (disbanding_rate(efficient_producers, v6) = v12) |  ~ (disbanding_rate(first_movers, v7) = v9) |  ~ (disbanding_rate(first_movers, v6) = v11) |  ~ (difference(v11, v12) = v13) |  ~ (decreases(v13) = v14) |  ? [v15] :  ? [v16] :  ? [v17] : ((v17 = 0 & greater(v15, v16) = 0 & disbanding_rate(efficient_producers, v8) = v16 & disbanding_rate(first_movers, v8) = v15) | ( ~ (v15 = 0) & greater_or_equal(v8, v6) = v15) | ( ~ (v15 = 0) & greater_or_equal(v6, v7) = v15) | ( ~ (v15 = 0) & environment(v5) = v15))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v11 = 0 |  ~ (greater(v9, v10) = v11) |  ~ (greater_or_equal(v6, v7) = 0) |  ~ (environment(v5) = 0) |  ~ (disbanding_rate(efficient_producers, v8) = v10) |  ~ (disbanding_rate(first_movers, v8) = v9) |  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : ((v15 = 0 & disbanding_rate(efficient_producers, v6) = v13 & disbanding_rate(first_movers, v6) = v12 & difference(v12, v13) = v14 & decreases(v14) = 0) | ( ~ (v14 = 0) & greater(v12, v13) = v14 & disbanding_rate(efficient_producers, v7) = v13 & disbanding_rate(first_movers, v7) = v12) | ( ~ (v12 = 0) & greater_or_equal(v8, v6) = v12) | ( ~ (v12 = 0) & subpopulations(first_movers, efficient_producers, v5, v8) = v12))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v6 = v5 |  ~ (subpopulations(v10, v9, v8, v7) = v6) |  ~ (subpopulations(v10, v9, v8, v7) = v5)) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (greater(v9, v10) = 0) |  ~ (greater_or_equal(v8, v6) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v5, v8) = 0) |  ~ (disbanding_rate(efficient_producers, v7) = v10) |  ~ (disbanding_rate(first_movers, v7) = v9) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : ((v14 = 0 & disbanding_rate(efficient_producers, v6) = v12 & disbanding_rate(first_movers, v6) = v11 & difference(v11, v12) = v13 & decreases(v13) = 0) | (v13 = 0 & greater(v11, v12) = 0 & disbanding_rate(efficient_producers, v8) = v12 & disbanding_rate(first_movers, v8) = v11) | ( ~ (v11 = 0) & greater_or_equal(v6, v7) = v11) | ( ~ (v11 = 0) & environment(v5) = v11))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (greater(v9, v10) = 0) |  ~ (greater_or_equal(v8, v6) = 0) |  ~ (environment(v5) = 0) |  ~ (disbanding_rate(efficient_producers, v7) = v10) |  ~ (disbanding_rate(first_movers, v7) = v9) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : ((v14 = 0 & disbanding_rate(efficient_producers, v6) = v12 & disbanding_rate(first_movers, v6) = v11 & difference(v11, v12) = v13 & decreases(v13) = 0) | (v13 = 0 & greater(v11, v12) = 0 & disbanding_rate(efficient_producers, v8) = v12 & disbanding_rate(first_movers, v8) = v11) | ( ~ (v11 = 0) & greater_or_equal(v6, v7) = v11) | ( ~ (v11 = 0) & subpopulations(first_movers, efficient_producers, v5, v8) = v11))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (greater_or_equal(v8, v6) = 0) |  ~ (greater_or_equal(v7, v8) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v5, v8) = v9) |  ? [v10] : (( ~ (v10 = 0) & subpopulations(first_movers, efficient_producers, v5, v7) = v10) | ( ~ (v10 = 0) & subpopulations(first_movers, efficient_producers, v5, v6) = v10) | ( ~ (v10 = 0) & environment(v5) = v10))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (subpopulations(first_movers, efficient_producers, v5, v8) = v9) |  ~ (subpopulations(first_movers, efficient_producers, v5, v7) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v5, v6) = 0) |  ? [v10] : (( ~ (v10 = 0) & greater_or_equal(v8, v6) = v10) | ( ~ (v10 = 0) & greater_or_equal(v7, v8) = v10) | ( ~ (v10 = 0) & environment(v5) = v10))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v8 = 0 |  ~ (greater(v7, v6) = 0) |  ~ (in_environment(v5, v6) = v8) |  ? [v9] :  ? [v10] : (( ~ (v10 = 0) & start_time(v5) = v9 & greater_or_equal(v6, v9) = v10) | ( ~ (v9 = 0) & in_environment(v5, v7) = v9) | ( ~ (v9 = 0) & environment(v5) = v9))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v8 = 0 |  ~ (greater(v6, v7) = 0) |  ~ (greater(v5, v7) = v8) |  ? [v9] : ( ~ (v9 = 0) & greater(v5, v6) = v9)) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v8 = 0 |  ~ (greater(v5, v7) = v8) |  ~ (greater(v5, v6) = 0) |  ? [v9] : ( ~ (v9 = 0) & greater(v6, v7) = v9)) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v8 = 0 |  ~ (initial_FM_EP(v5) = v7) |  ~ (greater_or_equal(v6, v7) = v8) |  ? [v9] : (( ~ (v9 = 0) & subpopulations(first_movers, efficient_producers, v5, v6) = v9) | ( ~ (v9 = 0) & environment(v5) = v9))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v8 = 0 |  ~ (in_environment(v5, v7) = 0) |  ~ (in_environment(v5, v6) = v8) |  ? [v9] :  ? [v10] : (( ~ (v10 = 0) & start_time(v5) = v9 & greater_or_equal(v6, v9) = v10) | ( ~ (v9 = 0) & greater(v7, v6) = v9) | ( ~ (v9 = 0) & environment(v5) = v9))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v6 = v5 |  ~ (greater(v8, v7) = v6) |  ~ (greater(v8, v7) = v5)) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v6 = v5 |  ~ (greater_or_equal(v8, v7) = v6) |  ~ (greater_or_equal(v8, v7) = v5)) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v6 = v5 |  ~ (in_environment(v8, v7) = v6) |  ~ (in_environment(v8, v7) = v5)) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v6 = v5 |  ~ (disbanding_rate(v8, v7) = v6) |  ~ (disbanding_rate(v8, v7) = v5)) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v6 = v5 |  ~ (difference(v8, v7) = v6) |  ~ (difference(v8, v7) = v5)) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (start_time(v5) = v8) |  ~ (greater(v7, v6) = 0) |  ~ (greater_or_equal(v6, v8) = 0) |  ? [v9] : ((v9 = 0 & in_environment(v5, v6) = 0) | ( ~ (v9 = 0) & in_environment(v5, v7) = v9) | ( ~ (v9 = 0) & environment(v5) = v9))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (start_time(v5) = v8) |  ~ (greater_or_equal(v6, v8) = 0) |  ~ (in_environment(v5, v7) = 0) |  ? [v9] : ((v9 = 0 & in_environment(v5, v6) = 0) | ( ~ (v9 = 0) & greater(v7, v6) = v9) | ( ~ (v9 = 0) & environment(v5) = v9))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (initial_FM_EP(v5) = v7) |  ~ (greater_or_equal(v6, v7) = v8) |  ? [v9] : ((v9 = 0 & subpopulations(first_movers, efficient_producers, v5, v7) = 0) | ( ~ (v9 = 0) & in_environment(v5, v7) = v9) | ( ~ (v9 = 0) & environment(v5) = v9))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (greater_or_equal(v8, v6) = 0) |  ~ (greater_or_equal(v7, v8) = 0) |  ~ (environment(v5) = 0) |  ? [v9] : ((v9 = 0 & subpopulations(first_movers, efficient_producers, v5, v8) = 0) | ( ~ (v9 = 0) & subpopulations(first_movers, efficient_producers, v5, v7) = v9) | ( ~ (v9 = 0) & subpopulations(first_movers, efficient_producers, v5, v6) = v9))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (greater_or_equal(v8, v6) = 0) |  ~ (greater_or_equal(v6, v7) = 0) |  ~ (environment(v5) = 0) |  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : ((v12 = 0 & disbanding_rate(efficient_producers, v6) = v10 & disbanding_rate(first_movers, v6) = v9 & difference(v9, v10) = v11 & decreases(v11) = 0) | (v11 = 0 & greater(v9, v10) = 0 & disbanding_rate(efficient_producers, v8) = v10 & disbanding_rate(first_movers, v8) = v9) | ( ~ (v11 = 0) & greater(v9, v10) = v11 & disbanding_rate(efficient_producers, v7) = v10 & disbanding_rate(first_movers, v7) = v9) | ( ~ (v9 = 0) & subpopulations(first_movers, efficient_producers, v5, v8) = v9))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (greater_or_equal(v8, v6) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v5, v7) = 0) |  ? [v9] : ((v9 = 0 & subpopulations(first_movers, efficient_producers, v5, v8) = 0) | ( ~ (v9 = 0) & greater_or_equal(v7, v8) = v9) | ( ~ (v9 = 0) & subpopulations(first_movers, efficient_producers, v5, v6) = v9) | ( ~ (v9 = 0) & environment(v5) = v9))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (greater_or_equal(v7, v8) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v5, v6) = 0) |  ? [v9] : ((v9 = 0 & subpopulations(first_movers, efficient_producers, v5, v8) = 0) | ( ~ (v9 = 0) & greater_or_equal(v8, v6) = v9) | ( ~ (v9 = 0) & subpopulations(first_movers, efficient_producers, v5, v7) = v9) | ( ~ (v9 = 0) & environment(v5) = v9))) &  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : ( ~ (greater_or_equal(v6, v7) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v5, v8) = 0) |  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : ((v12 = 0 & disbanding_rate(efficient_producers, v6) = v10 & disbanding_rate(first_movers, v6) = v9 & difference(v9, v10) = v11 & decreases(v11) = 0) | (v11 = 0 & greater(v9, v10) = 0 & disbanding_rate(efficient_producers, v8) = v10 & disbanding_rate(first_movers, v8) = v9) | ( ~ (v11 = 0) & greater(v9, v10) = v11 & disbanding_rate(efficient_producers, v7) = v10 & disbanding_rate(first_movers, v7) = v9) | ( ~ (v9 = 0) & greater_or_equal(v8, v6) = v9) | ( ~ (v9 = 0) & environment(v5) = v9))) &  ! [v5] :  ! [v6] :  ! [v7] : (v7 = 0 | v6 = v5 |  ~ (greater(v5, v6) = v7) |  ? [v8] : ( ~ (v8 = 0) & greater_or_equal(v5, v6) = v8)) &  ! [v5] :  ! [v6] :  ! [v7] : (v7 = 0 |  ~ (in_environment(v5, v6) = v7) |  ? [v8] : (( ~ (v8 = 0) & subpopulations(first_movers, efficient_producers, v5, v6) = v8) | ( ~ (v8 = 0) & environment(v5) = v8))) &  ! [v5] :  ! [v6] :  ! [v7] : (v6 = v5 |  ~ (start_time(v7) = v6) |  ~ (start_time(v7) = v5)) &  ! [v5] :  ! [v6] :  ! [v7] : (v6 = v5 |  ~ (initial_FM_EP(v7) = v6) |  ~ (initial_FM_EP(v7) = v5)) &  ! [v5] :  ! [v6] :  ! [v7] : (v6 = v5 |  ~ (environment(v7) = v6) |  ~ (environment(v7) = v5)) &  ! [v5] :  ! [v6] :  ! [v7] : (v6 = v5 |  ~ (decreases(v7) = v6) |  ~ (decreases(v7) = v5)) &  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (greater(v7, v6) = 0) |  ~ (in_environment(v5, v7) = 0) |  ? [v8] :  ? [v9] : ((v8 = 0 & in_environment(v5, v6) = 0) | ( ~ (v9 = 0) & start_time(v5) = v8 & greater_or_equal(v6, v8) = v9) | ( ~ (v8 = 0) & environment(v5) = v8))) &  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (greater(v7, v6) = 0) |  ~ (environment(v5) = 0) |  ? [v8] :  ? [v9] : ((v8 = 0 & in_environment(v5, v6) = 0) | ( ~ (v9 = 0) & start_time(v5) = v8 & greater_or_equal(v6, v8) = v9) | ( ~ (v8 = 0) & in_environment(v5, v7) = v8))) &  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (greater(v6, v7) = 0) |  ~ (greater(v5, v6) = 0) | greater(v5, v7) = 0) &  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (subpopulations(first_movers, efficient_producers, v5, v6) = v7) |  ? [v8] :  ? [v9] :  ? [v10] : (( ~ (v8 = 0) & environment(v5) = v8) | (initial_FM_EP(v5) = v8 & ( ~ (v7 = 0) | (v9 = 0 & greater_or_equal(v6, v8) = 0)) & ((v10 = 0 & subpopulations(first_movers, efficient_producers, v5, v8) = 0) | ( ~ (v10 = 0) & in_environment(v5, v8) = v10))))) &  ! [v5] :  ! [v6] : (v6 = v5 |  ~ (greater_or_equal(v5, v6) = 0) | greater(v5, v6) = 0) &  ! [v5] :  ! [v6] : ( ~ (start_time(v5) = v6) |  ? [v7] :  ? [v8] : ((v8 = 0 & initial_FM_EP(v5) = v7 & greater_or_equal(v7, v6) = 0) | ( ~ (v7 = 0) & environment(v5) = v7))) &  ! [v5] :  ! [v6] : ( ~ (initial_FM_EP(v5) = v6) |  ? [v7] :  ? [v8] :  ? [v9] : ((v9 = 0 & greater(v7, v8) = 0 & disbanding_rate(efficient_producers, v6) = v8 & disbanding_rate(first_movers, v6) = v7) | ( ~ (v7 = 0) & environment(v5) = v7))) &  ! [v5] :  ! [v6] : ( ~ (initial_FM_EP(v5) = v6) |  ? [v7] :  ? [v8] : ((v8 = 0 & start_time(v5) = v7 & greater_or_equal(v6, v7) = 0) | ( ~ (v7 = 0) & environment(v5) = v7))) &  ! [v5] :  ! [v6] : ( ~ (subpopulations(first_movers, efficient_producers, v5, v6) = 0) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (( ~ (v10 = 0) & disbanding_rate(efficient_producers, v6) = v8 & disbanding_rate(first_movers, v6) = v7 & difference(v7, v8) = v9 & decreases(v9) = v10) | ( ~ (v7 = 0) & environment(v5) = v7))) &  ! [v5] :  ! [v6] : ( ~ (subpopulations(first_movers, efficient_producers, v5, v6) = 0) |  ? [v7] : ((v7 = 0 & in_environment(v5, v6) = 0) | ( ~ (v7 = 0) & environment(v5) = v7))) &  ! [v5] : ( ~ (environment(v5) = 0) |  ? [v6] :  ? [v7] :  ? [v8] : (greater(v7, v8) = 0 & initial_FM_EP(v5) = v6 & disbanding_rate(efficient_producers, v6) = v8 & disbanding_rate(first_movers, v6) = v7)) &  ! [v5] : ( ~ (environment(v5) = 0) |  ? [v6] :  ? [v7] : (start_time(v5) = v7 & initial_FM_EP(v5) = v6 & greater_or_equal(v6, v7) = 0)) &  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : subpopulations(v8, v7, v6, v5) = v9 &  ? [v5] :  ? [v6] :  ? [v7] : greater(v6, v5) = v7 &  ? [v5] :  ? [v6] :  ? [v7] : greater_or_equal(v6, v5) = v7 &  ? [v5] :  ? [v6] :  ? [v7] : in_environment(v6, v5) = v7 &  ? [v5] :  ? [v6] :  ? [v7] : disbanding_rate(v6, v5) = v7 &  ? [v5] :  ? [v6] :  ? [v7] : difference(v6, v5) = v7 &  ? [v5] :  ? [v6] : start_time(v5) = v6 &  ? [v5] :  ? [v6] : initial_FM_EP(v5) = v6 &  ? [v5] :  ? [v6] : environment(v5) = v6 &  ? [v5] :  ? [v6] : decreases(v5) = v6)
% 9.27/2.82  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields:
% 9.27/2.82  | (1)  ~ (all_0_0_0 = 0) & greater(all_0_2_2, all_0_1_1) = all_0_0_0 & subpopulations(first_movers, efficient_producers, all_0_4_4, all_0_3_3) = 0 & environment(all_0_4_4) = 0 & disbanding_rate(efficient_producers, all_0_3_3) = all_0_1_1 & disbanding_rate(first_movers, all_0_3_3) = all_0_2_2 &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = 0 | v9 = 0 |  ~ (greater(v10, v11) = v12) |  ~ (greater(v4, v5) = 0) |  ~ (environment(v0) = 0) |  ~ (disbanding_rate(efficient_producers, v3) = v11) |  ~ (disbanding_rate(efficient_producers, v2) = v5) |  ~ (disbanding_rate(efficient_producers, v1) = v7) |  ~ (disbanding_rate(first_movers, v3) = v10) |  ~ (disbanding_rate(first_movers, v2) = v4) |  ~ (disbanding_rate(first_movers, v1) = v6) |  ~ (difference(v6, v7) = v8) |  ~ (decreases(v8) = v9) |  ? [v13] : (( ~ (v13 = 0) & greater_or_equal(v3, v1) = v13) | ( ~ (v13 = 0) & greater_or_equal(v1, v2) = v13) | ( ~ (v13 = 0) & subpopulations(first_movers, efficient_producers, v0, v3) = v13))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (greater(v4, v5) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v0, v3) = 0) |  ~ (disbanding_rate(efficient_producers, v2) = v5) |  ~ (disbanding_rate(efficient_producers, v1) = v7) |  ~ (disbanding_rate(first_movers, v2) = v4) |  ~ (disbanding_rate(first_movers, v1) = v6) |  ~ (difference(v6, v7) = v8) |  ~ (decreases(v8) = v9) |  ? [v10] :  ? [v11] :  ? [v12] : ((v12 = 0 & greater(v10, v11) = 0 & disbanding_rate(efficient_producers, v3) = v11 & disbanding_rate(first_movers, v3) = v10) | ( ~ (v10 = 0) & greater_or_equal(v3, v1) = v10) | ( ~ (v10 = 0) & greater_or_equal(v1, v2) = v10) | ( ~ (v10 = 0) & environment(v0) = v10))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (greater(v4, v5) = v6) |  ~ (greater_or_equal(v1, v2) = 0) |  ~ (environment(v0) = 0) |  ~ (disbanding_rate(efficient_producers, v3) = v5) |  ~ (disbanding_rate(first_movers, v3) = v4) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v10 = 0 & disbanding_rate(efficient_producers, v1) = v8 & disbanding_rate(first_movers, v1) = v7 & difference(v7, v8) = v9 & decreases(v9) = 0) | ( ~ (v9 = 0) & greater(v7, v8) = v9 & disbanding_rate(efficient_producers, v2) = v8 & disbanding_rate(first_movers, v2) = v7) | ( ~ (v7 = 0) & greater_or_equal(v3, v1) = v7) | ( ~ (v7 = 0) & subpopulations(first_movers, efficient_producers, v0, v3) = v7))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = v0 |  ~ (subpopulations(v5, v4, v3, v2) = v1) |  ~ (subpopulations(v5, v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (greater(v4, v5) = 0) |  ~ (greater_or_equal(v3, v1) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v0, v3) = 0) |  ~ (disbanding_rate(efficient_producers, v2) = v5) |  ~ (disbanding_rate(first_movers, v2) = v4) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ((v9 = 0 & disbanding_rate(efficient_producers, v1) = v7 & disbanding_rate(first_movers, v1) = v6 & difference(v6, v7) = v8 & decreases(v8) = 0) | (v8 = 0 & greater(v6, v7) = 0 & disbanding_rate(efficient_producers, v3) = v7 & disbanding_rate(first_movers, v3) = v6) | ( ~ (v6 = 0) & greater_or_equal(v1, v2) = v6) | ( ~ (v6 = 0) & environment(v0) = v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (greater(v4, v5) = 0) |  ~ (greater_or_equal(v3, v1) = 0) |  ~ (environment(v0) = 0) |  ~ (disbanding_rate(efficient_producers, v2) = v5) |  ~ (disbanding_rate(first_movers, v2) = v4) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ((v9 = 0 & disbanding_rate(efficient_producers, v1) = v7 & disbanding_rate(first_movers, v1) = v6 & difference(v6, v7) = v8 & decreases(v8) = 0) | (v8 = 0 & greater(v6, v7) = 0 & disbanding_rate(efficient_producers, v3) = v7 & disbanding_rate(first_movers, v3) = v6) | ( ~ (v6 = 0) & greater_or_equal(v1, v2) = v6) | ( ~ (v6 = 0) & subpopulations(first_movers, efficient_producers, v0, v3) = v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (greater_or_equal(v3, v1) = 0) |  ~ (greater_or_equal(v2, v3) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v0, v3) = v4) |  ? [v5] : (( ~ (v5 = 0) & subpopulations(first_movers, efficient_producers, v0, v2) = v5) | ( ~ (v5 = 0) & subpopulations(first_movers, efficient_producers, v0, v1) = v5) | ( ~ (v5 = 0) & environment(v0) = v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (subpopulations(first_movers, efficient_producers, v0, v3) = v4) |  ~ (subpopulations(first_movers, efficient_producers, v0, v2) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v0, v1) = 0) |  ? [v5] : (( ~ (v5 = 0) & greater_or_equal(v3, v1) = v5) | ( ~ (v5 = 0) & greater_or_equal(v2, v3) = v5) | ( ~ (v5 = 0) & environment(v0) = v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (greater(v2, v1) = 0) |  ~ (in_environment(v0, v1) = v3) |  ? [v4] :  ? [v5] : (( ~ (v5 = 0) & start_time(v0) = v4 & greater_or_equal(v1, v4) = v5) | ( ~ (v4 = 0) & in_environment(v0, v2) = v4) | ( ~ (v4 = 0) & environment(v0) = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (greater(v1, v2) = 0) |  ~ (greater(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & greater(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (greater(v0, v2) = v3) |  ~ (greater(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & greater(v1, v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (initial_FM_EP(v0) = v2) |  ~ (greater_or_equal(v1, v2) = v3) |  ? [v4] : (( ~ (v4 = 0) & subpopulations(first_movers, efficient_producers, v0, v1) = v4) | ( ~ (v4 = 0) & environment(v0) = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (in_environment(v0, v2) = 0) |  ~ (in_environment(v0, v1) = v3) |  ? [v4] :  ? [v5] : (( ~ (v5 = 0) & start_time(v0) = v4 & greater_or_equal(v1, v4) = v5) | ( ~ (v4 = 0) & greater(v2, v1) = v4) | ( ~ (v4 = 0) & environment(v0) = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (greater(v3, v2) = v1) |  ~ (greater(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (greater_or_equal(v3, v2) = v1) |  ~ (greater_or_equal(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (in_environment(v3, v2) = v1) |  ~ (in_environment(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (disbanding_rate(v3, v2) = v1) |  ~ (disbanding_rate(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (difference(v3, v2) = v1) |  ~ (difference(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (start_time(v0) = v3) |  ~ (greater(v2, v1) = 0) |  ~ (greater_or_equal(v1, v3) = 0) |  ? [v4] : ((v4 = 0 & in_environment(v0, v1) = 0) | ( ~ (v4 = 0) & in_environment(v0, v2) = v4) | ( ~ (v4 = 0) & environment(v0) = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (start_time(v0) = v3) |  ~ (greater_or_equal(v1, v3) = 0) |  ~ (in_environment(v0, v2) = 0) |  ? [v4] : ((v4 = 0 & in_environment(v0, v1) = 0) | ( ~ (v4 = 0) & greater(v2, v1) = v4) | ( ~ (v4 = 0) & environment(v0) = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (initial_FM_EP(v0) = v2) |  ~ (greater_or_equal(v1, v2) = v3) |  ? [v4] : ((v4 = 0 & subpopulations(first_movers, efficient_producers, v0, v2) = 0) | ( ~ (v4 = 0) & in_environment(v0, v2) = v4) | ( ~ (v4 = 0) & environment(v0) = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (greater_or_equal(v3, v1) = 0) |  ~ (greater_or_equal(v2, v3) = 0) |  ~ (environment(v0) = 0) |  ? [v4] : ((v4 = 0 & subpopulations(first_movers, efficient_producers, v0, v3) = 0) | ( ~ (v4 = 0) & subpopulations(first_movers, efficient_producers, v0, v2) = v4) | ( ~ (v4 = 0) & subpopulations(first_movers, efficient_producers, v0, v1) = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (greater_or_equal(v3, v1) = 0) |  ~ (greater_or_equal(v1, v2) = 0) |  ~ (environment(v0) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : ((v7 = 0 & disbanding_rate(efficient_producers, v1) = v5 & disbanding_rate(first_movers, v1) = v4 & difference(v4, v5) = v6 & decreases(v6) = 0) | (v6 = 0 & greater(v4, v5) = 0 & disbanding_rate(efficient_producers, v3) = v5 & disbanding_rate(first_movers, v3) = v4) | ( ~ (v6 = 0) & greater(v4, v5) = v6 & disbanding_rate(efficient_producers, v2) = v5 & disbanding_rate(first_movers, v2) = v4) | ( ~ (v4 = 0) & subpopulations(first_movers, efficient_producers, v0, v3) = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (greater_or_equal(v3, v1) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v0, v2) = 0) |  ? [v4] : ((v4 = 0 & subpopulations(first_movers, efficient_producers, v0, v3) = 0) | ( ~ (v4 = 0) & greater_or_equal(v2, v3) = v4) | ( ~ (v4 = 0) & subpopulations(first_movers, efficient_producers, v0, v1) = v4) | ( ~ (v4 = 0) & environment(v0) = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (greater_or_equal(v2, v3) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v0, v1) = 0) |  ? [v4] : ((v4 = 0 & subpopulations(first_movers, efficient_producers, v0, v3) = 0) | ( ~ (v4 = 0) & greater_or_equal(v3, v1) = v4) | ( ~ (v4 = 0) & subpopulations(first_movers, efficient_producers, v0, v2) = v4) | ( ~ (v4 = 0) & environment(v0) = v4))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (greater_or_equal(v1, v2) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v0, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : ((v7 = 0 & disbanding_rate(efficient_producers, v1) = v5 & disbanding_rate(first_movers, v1) = v4 & difference(v4, v5) = v6 & decreases(v6) = 0) | (v6 = 0 & greater(v4, v5) = 0 & disbanding_rate(efficient_producers, v3) = v5 & disbanding_rate(first_movers, v3) = v4) | ( ~ (v6 = 0) & greater(v4, v5) = v6 & disbanding_rate(efficient_producers, v2) = v5 & disbanding_rate(first_movers, v2) = v4) | ( ~ (v4 = 0) & greater_or_equal(v3, v1) = v4) | ( ~ (v4 = 0) & environment(v0) = v4))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 | v1 = v0 |  ~ (greater(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & greater_or_equal(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (in_environment(v0, v1) = v2) |  ? [v3] : (( ~ (v3 = 0) & subpopulations(first_movers, efficient_producers, v0, v1) = v3) | ( ~ (v3 = 0) & environment(v0) = v3))) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (start_time(v2) = v1) |  ~ (start_time(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (initial_FM_EP(v2) = v1) |  ~ (initial_FM_EP(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (environment(v2) = v1) |  ~ (environment(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (decreases(v2) = v1) |  ~ (decreases(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (greater(v2, v1) = 0) |  ~ (in_environment(v0, v2) = 0) |  ? [v3] :  ? [v4] : ((v3 = 0 & in_environment(v0, v1) = 0) | ( ~ (v4 = 0) & start_time(v0) = v3 & greater_or_equal(v1, v3) = v4) | ( ~ (v3 = 0) & environment(v0) = v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (greater(v2, v1) = 0) |  ~ (environment(v0) = 0) |  ? [v3] :  ? [v4] : ((v3 = 0 & in_environment(v0, v1) = 0) | ( ~ (v4 = 0) & start_time(v0) = v3 & greater_or_equal(v1, v3) = v4) | ( ~ (v3 = 0) & in_environment(v0, v2) = v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (greater(v1, v2) = 0) |  ~ (greater(v0, v1) = 0) | greater(v0, v2) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (subpopulations(first_movers, efficient_producers, v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v3 = 0) & environment(v0) = v3) | (initial_FM_EP(v0) = v3 & ( ~ (v2 = 0) | (v4 = 0 & greater_or_equal(v1, v3) = 0)) & ((v5 = 0 & subpopulations(first_movers, efficient_producers, v0, v3) = 0) | ( ~ (v5 = 0) & in_environment(v0, v3) = v5))))) &  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (greater_or_equal(v0, v1) = 0) | greater(v0, v1) = 0) &  ! [v0] :  ! [v1] : ( ~ (start_time(v0) = v1) |  ? [v2] :  ? [v3] : ((v3 = 0 & initial_FM_EP(v0) = v2 & greater_or_equal(v2, v1) = 0) | ( ~ (v2 = 0) & environment(v0) = v2))) &  ! [v0] :  ! [v1] : ( ~ (initial_FM_EP(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : ((v4 = 0 & greater(v2, v3) = 0 & disbanding_rate(efficient_producers, v1) = v3 & disbanding_rate(first_movers, v1) = v2) | ( ~ (v2 = 0) & environment(v0) = v2))) &  ! [v0] :  ! [v1] : ( ~ (initial_FM_EP(v0) = v1) |  ? [v2] :  ? [v3] : ((v3 = 0 & start_time(v0) = v2 & greater_or_equal(v1, v2) = 0) | ( ~ (v2 = 0) & environment(v0) = v2))) &  ! [v0] :  ! [v1] : ( ~ (subpopulations(first_movers, efficient_producers, v0, v1) = 0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v5 = 0) & disbanding_rate(efficient_producers, v1) = v3 & disbanding_rate(first_movers, v1) = v2 & difference(v2, v3) = v4 & decreases(v4) = v5) | ( ~ (v2 = 0) & environment(v0) = v2))) &  ! [v0] :  ! [v1] : ( ~ (subpopulations(first_movers, efficient_producers, v0, v1) = 0) |  ? [v2] : ((v2 = 0 & in_environment(v0, v1) = 0) | ( ~ (v2 = 0) & environment(v0) = v2))) &  ! [v0] : ( ~ (environment(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (greater(v2, v3) = 0 & initial_FM_EP(v0) = v1 & disbanding_rate(efficient_producers, v1) = v3 & disbanding_rate(first_movers, v1) = v2)) &  ! [v0] : ( ~ (environment(v0) = 0) |  ? [v1] :  ? [v2] : (start_time(v0) = v2 & initial_FM_EP(v0) = v1 & greater_or_equal(v1, v2) = 0)) &  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : subpopulations(v3, v2, v1, v0) = v4 &  ? [v0] :  ? [v1] :  ? [v2] : greater(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : greater_or_equal(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : in_environment(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : disbanding_rate(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : difference(v1, v0) = v2 &  ? [v0] :  ? [v1] : start_time(v0) = v1 &  ? [v0] :  ? [v1] : initial_FM_EP(v0) = v1 &  ? [v0] :  ? [v1] : environment(v0) = v1 &  ? [v0] :  ? [v1] : decreases(v0) = v1
% 9.48/2.85  |
% 9.48/2.85  | Applying alpha-rule on (1) yields:
% 9.48/2.85  | (2)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (greater(v0, v2) = v3) |  ~ (greater(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & greater(v1, v2) = v4))
% 9.48/2.85  | (3)  ~ (all_0_0_0 = 0)
% 9.48/2.85  | (4)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (initial_FM_EP(v0) = v2) |  ~ (greater_or_equal(v1, v2) = v3) |  ? [v4] : (( ~ (v4 = 0) & subpopulations(first_movers, efficient_producers, v0, v1) = v4) | ( ~ (v4 = 0) & environment(v0) = v4)))
% 9.48/2.85  | (5)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (greater_or_equal(v1, v2) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v0, v3) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : ((v7 = 0 & disbanding_rate(efficient_producers, v1) = v5 & disbanding_rate(first_movers, v1) = v4 & difference(v4, v5) = v6 & decreases(v6) = 0) | (v6 = 0 & greater(v4, v5) = 0 & disbanding_rate(efficient_producers, v3) = v5 & disbanding_rate(first_movers, v3) = v4) | ( ~ (v6 = 0) & greater(v4, v5) = v6 & disbanding_rate(efficient_producers, v2) = v5 & disbanding_rate(first_movers, v2) = v4) | ( ~ (v4 = 0) & greater_or_equal(v3, v1) = v4) | ( ~ (v4 = 0) & environment(v0) = v4)))
% 9.48/2.85  | (6)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (initial_FM_EP(v0) = v2) |  ~ (greater_or_equal(v1, v2) = v3) |  ? [v4] : ((v4 = 0 & subpopulations(first_movers, efficient_producers, v0, v2) = 0) | ( ~ (v4 = 0) & in_environment(v0, v2) = v4) | ( ~ (v4 = 0) & environment(v0) = v4)))
% 9.48/2.85  | (7)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (greater(v4, v5) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v0, v3) = 0) |  ~ (disbanding_rate(efficient_producers, v2) = v5) |  ~ (disbanding_rate(efficient_producers, v1) = v7) |  ~ (disbanding_rate(first_movers, v2) = v4) |  ~ (disbanding_rate(first_movers, v1) = v6) |  ~ (difference(v6, v7) = v8) |  ~ (decreases(v8) = v9) |  ? [v10] :  ? [v11] :  ? [v12] : ((v12 = 0 & greater(v10, v11) = 0 & disbanding_rate(efficient_producers, v3) = v11 & disbanding_rate(first_movers, v3) = v10) | ( ~ (v10 = 0) & greater_or_equal(v3, v1) = v10) | ( ~ (v10 = 0) & greater_or_equal(v1, v2) = v10) | ( ~ (v10 = 0) & environment(v0) = v10)))
% 9.48/2.85  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (greater_or_equal(v3, v1) = 0) |  ~ (greater_or_equal(v2, v3) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v0, v3) = v4) |  ? [v5] : (( ~ (v5 = 0) & subpopulations(first_movers, efficient_producers, v0, v2) = v5) | ( ~ (v5 = 0) & subpopulations(first_movers, efficient_producers, v0, v1) = v5) | ( ~ (v5 = 0) & environment(v0) = v5)))
% 9.48/2.85  | (9)  ? [v0] :  ? [v1] : decreases(v0) = v1
% 9.48/2.85  | (10)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (greater(v1, v2) = 0) |  ~ (greater(v0, v1) = 0) | greater(v0, v2) = 0)
% 9.48/2.85  | (11) environment(all_0_4_4) = 0
% 9.48/2.85  | (12)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (start_time(v0) = v3) |  ~ (greater(v2, v1) = 0) |  ~ (greater_or_equal(v1, v3) = 0) |  ? [v4] : ((v4 = 0 & in_environment(v0, v1) = 0) | ( ~ (v4 = 0) & in_environment(v0, v2) = v4) | ( ~ (v4 = 0) & environment(v0) = v4)))
% 9.48/2.85  | (13)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (greater_or_equal(v3, v1) = 0) |  ~ (greater_or_equal(v1, v2) = 0) |  ~ (environment(v0) = 0) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : ((v7 = 0 & disbanding_rate(efficient_producers, v1) = v5 & disbanding_rate(first_movers, v1) = v4 & difference(v4, v5) = v6 & decreases(v6) = 0) | (v6 = 0 & greater(v4, v5) = 0 & disbanding_rate(efficient_producers, v3) = v5 & disbanding_rate(first_movers, v3) = v4) | ( ~ (v6 = 0) & greater(v4, v5) = v6 & disbanding_rate(efficient_producers, v2) = v5 & disbanding_rate(first_movers, v2) = v4) | ( ~ (v4 = 0) & subpopulations(first_movers, efficient_producers, v0, v3) = v4)))
% 9.48/2.86  | (14)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (greater(v2, v1) = 0) |  ~ (in_environment(v0, v1) = v3) |  ? [v4] :  ? [v5] : (( ~ (v5 = 0) & start_time(v0) = v4 & greater_or_equal(v1, v4) = v5) | ( ~ (v4 = 0) & in_environment(v0, v2) = v4) | ( ~ (v4 = 0) & environment(v0) = v4)))
% 9.48/2.86  | (15)  ? [v0] :  ? [v1] :  ? [v2] : difference(v1, v0) = v2
% 9.48/2.86  | (16)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (greater(v4, v5) = 0) |  ~ (greater_or_equal(v3, v1) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v0, v3) = 0) |  ~ (disbanding_rate(efficient_producers, v2) = v5) |  ~ (disbanding_rate(first_movers, v2) = v4) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ((v9 = 0 & disbanding_rate(efficient_producers, v1) = v7 & disbanding_rate(first_movers, v1) = v6 & difference(v6, v7) = v8 & decreases(v8) = 0) | (v8 = 0 & greater(v6, v7) = 0 & disbanding_rate(efficient_producers, v3) = v7 & disbanding_rate(first_movers, v3) = v6) | ( ~ (v6 = 0) & greater_or_equal(v1, v2) = v6) | ( ~ (v6 = 0) & environment(v0) = v6)))
% 9.48/2.86  | (17)  ? [v0] :  ? [v1] : initial_FM_EP(v0) = v1
% 9.48/2.86  | (18)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (greater_or_equal(v3, v1) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v0, v2) = 0) |  ? [v4] : ((v4 = 0 & subpopulations(first_movers, efficient_producers, v0, v3) = 0) | ( ~ (v4 = 0) & greater_or_equal(v2, v3) = v4) | ( ~ (v4 = 0) & subpopulations(first_movers, efficient_producers, v0, v1) = v4) | ( ~ (v4 = 0) & environment(v0) = v4)))
% 9.48/2.86  | (19)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (initial_FM_EP(v2) = v1) |  ~ (initial_FM_EP(v2) = v0))
% 9.48/2.86  | (20)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = 0 | v9 = 0 |  ~ (greater(v10, v11) = v12) |  ~ (greater(v4, v5) = 0) |  ~ (environment(v0) = 0) |  ~ (disbanding_rate(efficient_producers, v3) = v11) |  ~ (disbanding_rate(efficient_producers, v2) = v5) |  ~ (disbanding_rate(efficient_producers, v1) = v7) |  ~ (disbanding_rate(first_movers, v3) = v10) |  ~ (disbanding_rate(first_movers, v2) = v4) |  ~ (disbanding_rate(first_movers, v1) = v6) |  ~ (difference(v6, v7) = v8) |  ~ (decreases(v8) = v9) |  ? [v13] : (( ~ (v13 = 0) & greater_or_equal(v3, v1) = v13) | ( ~ (v13 = 0) & greater_or_equal(v1, v2) = v13) | ( ~ (v13 = 0) & subpopulations(first_movers, efficient_producers, v0, v3) = v13)))
% 9.48/2.86  | (21)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (disbanding_rate(v3, v2) = v1) |  ~ (disbanding_rate(v3, v2) = v0))
% 9.48/2.86  | (22)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (in_environment(v0, v1) = v2) |  ? [v3] : (( ~ (v3 = 0) & subpopulations(first_movers, efficient_producers, v0, v1) = v3) | ( ~ (v3 = 0) & environment(v0) = v3)))
% 9.48/2.86  | (23)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (decreases(v2) = v1) |  ~ (decreases(v2) = v0))
% 9.48/2.86  | (24)  ! [v0] :  ! [v1] : (v1 = v0 |  ~ (greater_or_equal(v0, v1) = 0) | greater(v0, v1) = 0)
% 9.48/2.86  | (25)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (greater_or_equal(v3, v1) = 0) |  ~ (greater_or_equal(v2, v3) = 0) |  ~ (environment(v0) = 0) |  ? [v4] : ((v4 = 0 & subpopulations(first_movers, efficient_producers, v0, v3) = 0) | ( ~ (v4 = 0) & subpopulations(first_movers, efficient_producers, v0, v2) = v4) | ( ~ (v4 = 0) & subpopulations(first_movers, efficient_producers, v0, v1) = v4)))
% 9.48/2.86  | (26)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (subpopulations(first_movers, efficient_producers, v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v3 = 0) & environment(v0) = v3) | (initial_FM_EP(v0) = v3 & ( ~ (v2 = 0) | (v4 = 0 & greater_or_equal(v1, v3) = 0)) & ((v5 = 0 & subpopulations(first_movers, efficient_producers, v0, v3) = 0) | ( ~ (v5 = 0) & in_environment(v0, v3) = v5)))))
% 9.48/2.86  | (27)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (greater_or_equal(v2, v3) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v0, v1) = 0) |  ? [v4] : ((v4 = 0 & subpopulations(first_movers, efficient_producers, v0, v3) = 0) | ( ~ (v4 = 0) & greater_or_equal(v3, v1) = v4) | ( ~ (v4 = 0) & subpopulations(first_movers, efficient_producers, v0, v2) = v4) | ( ~ (v4 = 0) & environment(v0) = v4)))
% 9.48/2.86  | (28)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = v0 |  ~ (subpopulations(v5, v4, v3, v2) = v1) |  ~ (subpopulations(v5, v4, v3, v2) = v0))
% 9.48/2.86  | (29)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (greater(v4, v5) = 0) |  ~ (greater_or_equal(v3, v1) = 0) |  ~ (environment(v0) = 0) |  ~ (disbanding_rate(efficient_producers, v2) = v5) |  ~ (disbanding_rate(first_movers, v2) = v4) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : ((v9 = 0 & disbanding_rate(efficient_producers, v1) = v7 & disbanding_rate(first_movers, v1) = v6 & difference(v6, v7) = v8 & decreases(v8) = 0) | (v8 = 0 & greater(v6, v7) = 0 & disbanding_rate(efficient_producers, v3) = v7 & disbanding_rate(first_movers, v3) = v6) | ( ~ (v6 = 0) & greater_or_equal(v1, v2) = v6) | ( ~ (v6 = 0) & subpopulations(first_movers, efficient_producers, v0, v3) = v6)))
% 9.48/2.87  | (30)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (greater(v4, v5) = v6) |  ~ (greater_or_equal(v1, v2) = 0) |  ~ (environment(v0) = 0) |  ~ (disbanding_rate(efficient_producers, v3) = v5) |  ~ (disbanding_rate(first_movers, v3) = v4) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : ((v10 = 0 & disbanding_rate(efficient_producers, v1) = v8 & disbanding_rate(first_movers, v1) = v7 & difference(v7, v8) = v9 & decreases(v9) = 0) | ( ~ (v9 = 0) & greater(v7, v8) = v9 & disbanding_rate(efficient_producers, v2) = v8 & disbanding_rate(first_movers, v2) = v7) | ( ~ (v7 = 0) & greater_or_equal(v3, v1) = v7) | ( ~ (v7 = 0) & subpopulations(first_movers, efficient_producers, v0, v3) = v7)))
% 9.48/2.87  | (31)  ? [v0] :  ? [v1] : environment(v0) = v1
% 9.48/2.87  | (32)  ! [v0] :  ! [v1] : ( ~ (subpopulations(first_movers, efficient_producers, v0, v1) = 0) |  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] : (( ~ (v5 = 0) & disbanding_rate(efficient_producers, v1) = v3 & disbanding_rate(first_movers, v1) = v2 & difference(v2, v3) = v4 & decreases(v4) = v5) | ( ~ (v2 = 0) & environment(v0) = v2)))
% 9.48/2.87  | (33)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (start_time(v2) = v1) |  ~ (start_time(v2) = v0))
% 9.48/2.87  | (34)  ! [v0] : ( ~ (environment(v0) = 0) |  ? [v1] :  ? [v2] :  ? [v3] : (greater(v2, v3) = 0 & initial_FM_EP(v0) = v1 & disbanding_rate(efficient_producers, v1) = v3 & disbanding_rate(first_movers, v1) = v2))
% 9.48/2.87  | (35)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : subpopulations(v3, v2, v1, v0) = v4
% 9.48/2.87  | (36)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (in_environment(v0, v2) = 0) |  ~ (in_environment(v0, v1) = v3) |  ? [v4] :  ? [v5] : (( ~ (v5 = 0) & start_time(v0) = v4 & greater_or_equal(v1, v4) = v5) | ( ~ (v4 = 0) & greater(v2, v1) = v4) | ( ~ (v4 = 0) & environment(v0) = v4)))
% 9.48/2.87  | (37)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (greater_or_equal(v3, v2) = v1) |  ~ (greater_or_equal(v3, v2) = v0))
% 9.48/2.87  | (38)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (greater(v3, v2) = v1) |  ~ (greater(v3, v2) = v0))
% 9.48/2.87  | (39)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (start_time(v0) = v3) |  ~ (greater_or_equal(v1, v3) = 0) |  ~ (in_environment(v0, v2) = 0) |  ? [v4] : ((v4 = 0 & in_environment(v0, v1) = 0) | ( ~ (v4 = 0) & greater(v2, v1) = v4) | ( ~ (v4 = 0) & environment(v0) = v4)))
% 9.48/2.87  | (40) subpopulations(first_movers, efficient_producers, all_0_4_4, all_0_3_3) = 0
% 9.48/2.87  | (41)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (in_environment(v3, v2) = v1) |  ~ (in_environment(v3, v2) = v0))
% 9.48/2.87  | (42) disbanding_rate(efficient_producers, all_0_3_3) = all_0_1_1
% 9.48/2.87  | (43)  ! [v0] :  ! [v1] : ( ~ (initial_FM_EP(v0) = v1) |  ? [v2] :  ? [v3] :  ? [v4] : ((v4 = 0 & greater(v2, v3) = 0 & disbanding_rate(efficient_producers, v1) = v3 & disbanding_rate(first_movers, v1) = v2) | ( ~ (v2 = 0) & environment(v0) = v2)))
% 9.48/2.87  | (44)  ! [v0] :  ! [v1] : ( ~ (initial_FM_EP(v0) = v1) |  ? [v2] :  ? [v3] : ((v3 = 0 & start_time(v0) = v2 & greater_or_equal(v1, v2) = 0) | ( ~ (v2 = 0) & environment(v0) = v2)))
% 9.48/2.87  | (45)  ? [v0] :  ? [v1] : start_time(v0) = v1
% 9.48/2.87  | (46)  ? [v0] :  ? [v1] :  ? [v2] : in_environment(v1, v0) = v2
% 9.48/2.87  | (47)  ! [v0] :  ! [v1] : ( ~ (subpopulations(first_movers, efficient_producers, v0, v1) = 0) |  ? [v2] : ((v2 = 0 & in_environment(v0, v1) = 0) | ( ~ (v2 = 0) & environment(v0) = v2)))
% 9.48/2.87  | (48)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (greater(v1, v2) = 0) |  ~ (greater(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & greater(v0, v1) = v4))
% 9.48/2.87  | (49) greater(all_0_2_2, all_0_1_1) = all_0_0_0
% 9.48/2.87  | (50)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (greater(v2, v1) = 0) |  ~ (in_environment(v0, v2) = 0) |  ? [v3] :  ? [v4] : ((v3 = 0 & in_environment(v0, v1) = 0) | ( ~ (v4 = 0) & start_time(v0) = v3 & greater_or_equal(v1, v3) = v4) | ( ~ (v3 = 0) & environment(v0) = v3)))
% 9.48/2.87  | (51)  ? [v0] :  ? [v1] :  ? [v2] : greater(v1, v0) = v2
% 9.48/2.87  | (52)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 | v1 = v0 |  ~ (greater(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & greater_or_equal(v0, v1) = v3))
% 9.48/2.88  | (53)  ! [v0] : ( ~ (environment(v0) = 0) |  ? [v1] :  ? [v2] : (start_time(v0) = v2 & initial_FM_EP(v0) = v1 & greater_or_equal(v1, v2) = 0))
% 9.48/2.88  | (54)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (greater(v2, v1) = 0) |  ~ (environment(v0) = 0) |  ? [v3] :  ? [v4] : ((v3 = 0 & in_environment(v0, v1) = 0) | ( ~ (v4 = 0) & start_time(v0) = v3 & greater_or_equal(v1, v3) = v4) | ( ~ (v3 = 0) & in_environment(v0, v2) = v3)))
% 9.48/2.88  | (55)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (subpopulations(first_movers, efficient_producers, v0, v3) = v4) |  ~ (subpopulations(first_movers, efficient_producers, v0, v2) = 0) |  ~ (subpopulations(first_movers, efficient_producers, v0, v1) = 0) |  ? [v5] : (( ~ (v5 = 0) & greater_or_equal(v3, v1) = v5) | ( ~ (v5 = 0) & greater_or_equal(v2, v3) = v5) | ( ~ (v5 = 0) & environment(v0) = v5)))
% 9.48/2.88  | (56)  ! [v0] :  ! [v1] : ( ~ (start_time(v0) = v1) |  ? [v2] :  ? [v3] : ((v3 = 0 & initial_FM_EP(v0) = v2 & greater_or_equal(v2, v1) = 0) | ( ~ (v2 = 0) & environment(v0) = v2)))
% 9.48/2.88  | (57)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (difference(v3, v2) = v1) |  ~ (difference(v3, v2) = v0))
% 9.48/2.88  | (58) disbanding_rate(first_movers, all_0_3_3) = all_0_2_2
% 9.48/2.88  | (59)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (environment(v2) = v1) |  ~ (environment(v2) = v0))
% 9.48/2.88  | (60)  ? [v0] :  ? [v1] :  ? [v2] : greater_or_equal(v1, v0) = v2
% 9.48/2.88  | (61)  ? [v0] :  ? [v1] :  ? [v2] : disbanding_rate(v1, v0) = v2
% 9.48/2.88  |
% 9.48/2.88  | Instantiating formula (52) with all_0_0_0, all_0_1_1, all_0_2_2 and discharging atoms greater(all_0_2_2, all_0_1_1) = all_0_0_0, yields:
% 9.48/2.88  | (62) all_0_0_0 = 0 | all_0_1_1 = all_0_2_2 |  ? [v0] : ( ~ (v0 = 0) & greater_or_equal(all_0_2_2, all_0_1_1) = v0)
% 9.48/2.88  |
% 9.48/2.88  | Instantiating formula (32) with all_0_3_3, all_0_4_4 and discharging atoms subpopulations(first_movers, efficient_producers, all_0_4_4, all_0_3_3) = 0, yields:
% 9.48/2.88  | (63)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (( ~ (v3 = 0) & disbanding_rate(efficient_producers, all_0_3_3) = v1 & disbanding_rate(first_movers, all_0_3_3) = v0 & difference(v0, v1) = v2 & decreases(v2) = v3) | ( ~ (v0 = 0) & environment(all_0_4_4) = v0))
% 9.48/2.88  |
% 9.48/2.88  | Instantiating formula (47) with all_0_3_3, all_0_4_4 and discharging atoms subpopulations(first_movers, efficient_producers, all_0_4_4, all_0_3_3) = 0, yields:
% 9.48/2.88  | (64)  ? [v0] : ((v0 = 0 & in_environment(all_0_4_4, all_0_3_3) = 0) | ( ~ (v0 = 0) & environment(all_0_4_4) = v0))
% 9.48/2.88  |
% 9.48/2.88  | Instantiating formula (26) with 0, all_0_3_3, all_0_4_4 and discharging atoms subpopulations(first_movers, efficient_producers, all_0_4_4, all_0_3_3) = 0, yields:
% 9.48/2.88  | (65)  ? [v0] :  ? [v1] :  ? [v2] : ((v1 = 0 & initial_FM_EP(all_0_4_4) = v0 & greater_or_equal(all_0_3_3, v0) = 0 & ((v2 = 0 & subpopulations(first_movers, efficient_producers, all_0_4_4, v0) = 0) | ( ~ (v2 = 0) & in_environment(all_0_4_4, v0) = v2))) | ( ~ (v0 = 0) & environment(all_0_4_4) = v0))
% 9.48/2.88  |
% 9.48/2.88  | Instantiating formula (34) with all_0_4_4 and discharging atoms environment(all_0_4_4) = 0, yields:
% 9.48/2.88  | (66)  ? [v0] :  ? [v1] :  ? [v2] : (greater(v1, v2) = 0 & initial_FM_EP(all_0_4_4) = v0 & disbanding_rate(efficient_producers, v0) = v2 & disbanding_rate(first_movers, v0) = v1)
% 9.48/2.88  |
% 9.48/2.88  | Instantiating formula (53) with all_0_4_4 and discharging atoms environment(all_0_4_4) = 0, yields:
% 9.48/2.88  | (67)  ? [v0] :  ? [v1] : (start_time(all_0_4_4) = v1 & initial_FM_EP(all_0_4_4) = v0 & greater_or_equal(v0, v1) = 0)
% 9.48/2.88  |
% 9.48/2.88  | Instantiating (67) with all_28_0_33, all_28_1_34 yields:
% 9.48/2.88  | (68) start_time(all_0_4_4) = all_28_0_33 & initial_FM_EP(all_0_4_4) = all_28_1_34 & greater_or_equal(all_28_1_34, all_28_0_33) = 0
% 9.48/2.88  |
% 9.48/2.88  | Applying alpha-rule on (68) yields:
% 9.48/2.88  | (69) start_time(all_0_4_4) = all_28_0_33
% 9.48/2.88  | (70) initial_FM_EP(all_0_4_4) = all_28_1_34
% 9.48/2.88  | (71) greater_or_equal(all_28_1_34, all_28_0_33) = 0
% 9.48/2.88  |
% 9.48/2.88  | Instantiating (65) with all_30_0_35, all_30_1_36, all_30_2_37 yields:
% 9.48/2.88  | (72) (all_30_1_36 = 0 & initial_FM_EP(all_0_4_4) = all_30_2_37 & greater_or_equal(all_0_3_3, all_30_2_37) = 0 & ((all_30_0_35 = 0 & subpopulations(first_movers, efficient_producers, all_0_4_4, all_30_2_37) = 0) | ( ~ (all_30_0_35 = 0) & in_environment(all_0_4_4, all_30_2_37) = all_30_0_35))) | ( ~ (all_30_2_37 = 0) & environment(all_0_4_4) = all_30_2_37)
% 9.48/2.88  |
% 9.48/2.88  | Instantiating (63) with all_31_0_38, all_31_1_39, all_31_2_40, all_31_3_41 yields:
% 9.48/2.88  | (73) ( ~ (all_31_0_38 = 0) & disbanding_rate(efficient_producers, all_0_3_3) = all_31_2_40 & disbanding_rate(first_movers, all_0_3_3) = all_31_3_41 & difference(all_31_3_41, all_31_2_40) = all_31_1_39 & decreases(all_31_1_39) = all_31_0_38) | ( ~ (all_31_3_41 = 0) & environment(all_0_4_4) = all_31_3_41)
% 9.48/2.88  |
% 9.48/2.88  | Instantiating (64) with all_32_0_42 yields:
% 9.48/2.88  | (74) (all_32_0_42 = 0 & in_environment(all_0_4_4, all_0_3_3) = 0) | ( ~ (all_32_0_42 = 0) & environment(all_0_4_4) = all_32_0_42)
% 9.48/2.88  |
% 9.48/2.88  | Instantiating (66) with all_33_0_43, all_33_1_44, all_33_2_45 yields:
% 9.48/2.88  | (75) greater(all_33_1_44, all_33_0_43) = 0 & initial_FM_EP(all_0_4_4) = all_33_2_45 & disbanding_rate(efficient_producers, all_33_2_45) = all_33_0_43 & disbanding_rate(first_movers, all_33_2_45) = all_33_1_44
% 9.48/2.88  |
% 9.48/2.88  | Applying alpha-rule on (75) yields:
% 9.48/2.88  | (76) greater(all_33_1_44, all_33_0_43) = 0
% 9.48/2.89  | (77) initial_FM_EP(all_0_4_4) = all_33_2_45
% 9.48/2.89  | (78) disbanding_rate(efficient_producers, all_33_2_45) = all_33_0_43
% 9.48/2.89  | (79) disbanding_rate(first_movers, all_33_2_45) = all_33_1_44
% 9.48/2.89  |
% 9.48/2.89  +-Applying beta-rule and splitting (74), into two cases.
% 9.48/2.89  |-Branch one:
% 9.48/2.89  | (80) all_32_0_42 = 0 & in_environment(all_0_4_4, all_0_3_3) = 0
% 9.48/2.89  |
% 9.48/2.89  	| Applying alpha-rule on (80) yields:
% 9.48/2.89  	| (81) all_32_0_42 = 0
% 9.48/2.89  	| (82) in_environment(all_0_4_4, all_0_3_3) = 0
% 9.48/2.89  	|
% 9.48/2.89  	+-Applying beta-rule and splitting (72), into two cases.
% 9.48/2.89  	|-Branch one:
% 9.48/2.89  	| (83) all_30_1_36 = 0 & initial_FM_EP(all_0_4_4) = all_30_2_37 & greater_or_equal(all_0_3_3, all_30_2_37) = 0 & ((all_30_0_35 = 0 & subpopulations(first_movers, efficient_producers, all_0_4_4, all_30_2_37) = 0) | ( ~ (all_30_0_35 = 0) & in_environment(all_0_4_4, all_30_2_37) = all_30_0_35))
% 9.48/2.89  	|
% 9.48/2.89  		| Applying alpha-rule on (83) yields:
% 9.48/2.89  		| (84) all_30_1_36 = 0
% 9.48/2.89  		| (85) initial_FM_EP(all_0_4_4) = all_30_2_37
% 9.48/2.89  		| (86) greater_or_equal(all_0_3_3, all_30_2_37) = 0
% 9.48/2.89  		| (87) (all_30_0_35 = 0 & subpopulations(first_movers, efficient_producers, all_0_4_4, all_30_2_37) = 0) | ( ~ (all_30_0_35 = 0) & in_environment(all_0_4_4, all_30_2_37) = all_30_0_35)
% 9.48/2.89  		|
% 9.48/2.89  		+-Applying beta-rule and splitting (73), into two cases.
% 9.48/2.89  		|-Branch one:
% 9.48/2.89  		| (88)  ~ (all_31_0_38 = 0) & disbanding_rate(efficient_producers, all_0_3_3) = all_31_2_40 & disbanding_rate(first_movers, all_0_3_3) = all_31_3_41 & difference(all_31_3_41, all_31_2_40) = all_31_1_39 & decreases(all_31_1_39) = all_31_0_38
% 9.48/2.89  		|
% 9.48/2.89  			| Applying alpha-rule on (88) yields:
% 9.48/2.89  			| (89) disbanding_rate(efficient_producers, all_0_3_3) = all_31_2_40
% 9.48/2.89  			| (90) difference(all_31_3_41, all_31_2_40) = all_31_1_39
% 9.48/2.89  			| (91) disbanding_rate(first_movers, all_0_3_3) = all_31_3_41
% 9.48/2.89  			| (92) decreases(all_31_1_39) = all_31_0_38
% 9.48/2.89  			| (93)  ~ (all_31_0_38 = 0)
% 9.48/2.89  			|
% 9.48/2.89  			| Instantiating formula (19) with all_0_4_4, all_30_2_37, all_33_2_45 and discharging atoms initial_FM_EP(all_0_4_4) = all_33_2_45, initial_FM_EP(all_0_4_4) = all_30_2_37, yields:
% 9.48/2.89  			| (94) all_33_2_45 = all_30_2_37
% 9.48/2.89  			|
% 9.48/2.89  			| Instantiating formula (19) with all_0_4_4, all_28_1_34, all_33_2_45 and discharging atoms initial_FM_EP(all_0_4_4) = all_33_2_45, initial_FM_EP(all_0_4_4) = all_28_1_34, yields:
% 9.48/2.89  			| (95) all_33_2_45 = all_28_1_34
% 9.48/2.89  			|
% 9.48/2.89  			| Instantiating formula (21) with efficient_producers, all_0_3_3, all_31_2_40, all_0_1_1 and discharging atoms disbanding_rate(efficient_producers, all_0_3_3) = all_31_2_40, disbanding_rate(efficient_producers, all_0_3_3) = all_0_1_1, yields:
% 9.48/2.89  			| (96) all_31_2_40 = all_0_1_1
% 9.48/2.89  			|
% 9.48/2.89  			| Instantiating formula (21) with first_movers, all_0_3_3, all_31_3_41, all_0_2_2 and discharging atoms disbanding_rate(first_movers, all_0_3_3) = all_31_3_41, disbanding_rate(first_movers, all_0_3_3) = all_0_2_2, yields:
% 9.48/2.89  			| (97) all_31_3_41 = all_0_2_2
% 9.48/2.89  			|
% 9.48/2.89  			| Combining equations (94,95) yields a new equation:
% 9.48/2.89  			| (98) all_30_2_37 = all_28_1_34
% 9.48/2.89  			|
% 9.48/2.89  			| Simplifying 98 yields:
% 9.48/2.89  			| (99) all_30_2_37 = all_28_1_34
% 9.48/2.89  			|
% 9.48/2.89  			| From (99) and (85) follows:
% 9.48/2.89  			| (70) initial_FM_EP(all_0_4_4) = all_28_1_34
% 9.48/2.89  			|
% 9.48/2.89  			| From (99) and (86) follows:
% 9.48/2.89  			| (101) greater_or_equal(all_0_3_3, all_28_1_34) = 0
% 9.48/2.89  			|
% 9.48/2.89  			| From (95) and (78) follows:
% 9.48/2.89  			| (102) disbanding_rate(efficient_producers, all_28_1_34) = all_33_0_43
% 9.48/2.89  			|
% 9.48/2.89  			| From (96) and (89) follows:
% 9.48/2.89  			| (42) disbanding_rate(efficient_producers, all_0_3_3) = all_0_1_1
% 9.48/2.89  			|
% 9.48/2.89  			| From (95) and (79) follows:
% 9.48/2.89  			| (104) disbanding_rate(first_movers, all_28_1_34) = all_33_1_44
% 9.48/2.89  			|
% 9.48/2.89  			| From (97) and (91) follows:
% 9.48/2.89  			| (58) disbanding_rate(first_movers, all_0_3_3) = all_0_2_2
% 9.48/2.89  			|
% 9.48/2.89  			| Instantiating formula (30) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_28_0_33, all_28_1_34, all_0_4_4 and discharging atoms greater(all_0_2_2, all_0_1_1) = all_0_0_0, greater_or_equal(all_28_1_34, all_28_0_33) = 0, environment(all_0_4_4) = 0, disbanding_rate(efficient_producers, all_0_3_3) = all_0_1_1, disbanding_rate(first_movers, all_0_3_3) = all_0_2_2, yields:
% 9.48/2.89  			| (106) all_0_0_0 = 0 |  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : ((v3 = 0 & disbanding_rate(efficient_producers, all_28_1_34) = v1 & disbanding_rate(first_movers, all_28_1_34) = v0 & difference(v0, v1) = v2 & decreases(v2) = 0) | ( ~ (v2 = 0) & greater(v0, v1) = v2 & disbanding_rate(efficient_producers, all_28_0_33) = v1 & disbanding_rate(first_movers, all_28_0_33) = v0) | ( ~ (v0 = 0) & greater_or_equal(all_0_3_3, all_28_1_34) = v0) | ( ~ (v0 = 0) & subpopulations(first_movers, efficient_producers, all_0_4_4, all_0_3_3) = v0))
% 9.48/2.90  			|
% 9.48/2.90  			| Instantiating formula (24) with all_28_1_34, all_0_3_3 and discharging atoms greater_or_equal(all_0_3_3, all_28_1_34) = 0, yields:
% 9.48/2.90  			| (107) all_28_1_34 = all_0_3_3 | greater(all_0_3_3, all_28_1_34) = 0
% 9.48/2.90  			|
% 9.48/2.90  			| Instantiating formula (39) with all_28_0_33, all_0_3_3, all_28_1_34, all_0_4_4 and discharging atoms start_time(all_0_4_4) = all_28_0_33, greater_or_equal(all_28_1_34, all_28_0_33) = 0, in_environment(all_0_4_4, all_0_3_3) = 0, yields:
% 9.48/2.90  			| (108)  ? [v0] : ((v0 = 0 & in_environment(all_0_4_4, all_28_1_34) = 0) | ( ~ (v0 = 0) & greater(all_0_3_3, all_28_1_34) = v0) | ( ~ (v0 = 0) & environment(all_0_4_4) = v0))
% 9.48/2.90  			|
% 9.48/2.90  			| Instantiating formula (16) with all_33_0_43, all_33_1_44, all_0_3_3, all_28_1_34, all_28_1_34, all_0_4_4 and discharging atoms greater(all_33_1_44, all_33_0_43) = 0, greater_or_equal(all_0_3_3, all_28_1_34) = 0, subpopulations(first_movers, efficient_producers, all_0_4_4, all_0_3_3) = 0, disbanding_rate(efficient_producers, all_28_1_34) = all_33_0_43, disbanding_rate(first_movers, all_28_1_34) = all_33_1_44, yields:
% 9.48/2.90  			| (109)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : ((v3 = 0 & disbanding_rate(efficient_producers, all_28_1_34) = v1 & disbanding_rate(first_movers, all_28_1_34) = v0 & difference(v0, v1) = v2 & decreases(v2) = 0) | (v2 = 0 & greater(v0, v1) = 0 & disbanding_rate(efficient_producers, all_0_3_3) = v1 & disbanding_rate(first_movers, all_0_3_3) = v0) | ( ~ (v0 = 0) & greater_or_equal(all_28_1_34, all_28_1_34) = v0) | ( ~ (v0 = 0) & environment(all_0_4_4) = v0))
% 9.48/2.90  			|
% 9.48/2.90  			| Instantiating formula (29) with all_33_0_43, all_33_1_44, all_0_3_3, all_28_1_34, all_28_1_34, all_0_4_4 and discharging atoms greater(all_33_1_44, all_33_0_43) = 0, greater_or_equal(all_0_3_3, all_28_1_34) = 0, environment(all_0_4_4) = 0, disbanding_rate(efficient_producers, all_28_1_34) = all_33_0_43, disbanding_rate(first_movers, all_28_1_34) = all_33_1_44, yields:
% 9.48/2.90  			| (110)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : ((v3 = 0 & disbanding_rate(efficient_producers, all_28_1_34) = v1 & disbanding_rate(first_movers, all_28_1_34) = v0 & difference(v0, v1) = v2 & decreases(v2) = 0) | (v2 = 0 & greater(v0, v1) = 0 & disbanding_rate(efficient_producers, all_0_3_3) = v1 & disbanding_rate(first_movers, all_0_3_3) = v0) | ( ~ (v0 = 0) & greater_or_equal(all_28_1_34, all_28_1_34) = v0) | ( ~ (v0 = 0) & subpopulations(first_movers, efficient_producers, all_0_4_4, all_0_3_3) = v0))
% 9.48/2.90  			|
% 9.48/2.90  			| Instantiating (110) with all_56_0_46, all_56_1_47, all_56_2_48, all_56_3_49 yields:
% 9.48/2.90  			| (111) (all_56_0_46 = 0 & disbanding_rate(efficient_producers, all_28_1_34) = all_56_2_48 & disbanding_rate(first_movers, all_28_1_34) = all_56_3_49 & difference(all_56_3_49, all_56_2_48) = all_56_1_47 & decreases(all_56_1_47) = 0) | (all_56_1_47 = 0 & greater(all_56_3_49, all_56_2_48) = 0 & disbanding_rate(efficient_producers, all_0_3_3) = all_56_2_48 & disbanding_rate(first_movers, all_0_3_3) = all_56_3_49) | ( ~ (all_56_3_49 = 0) & greater_or_equal(all_28_1_34, all_28_1_34) = all_56_3_49) | ( ~ (all_56_3_49 = 0) & subpopulations(first_movers, efficient_producers, all_0_4_4, all_0_3_3) = all_56_3_49)
% 9.48/2.90  			|
% 9.48/2.90  			| Instantiating (108) with all_66_0_72 yields:
% 9.48/2.90  			| (112) (all_66_0_72 = 0 & in_environment(all_0_4_4, all_28_1_34) = 0) | ( ~ (all_66_0_72 = 0) & greater(all_0_3_3, all_28_1_34) = all_66_0_72) | ( ~ (all_66_0_72 = 0) & environment(all_0_4_4) = all_66_0_72)
% 9.48/2.90  			|
% 9.48/2.90  			| Instantiating (109) with all_67_0_73, all_67_1_74, all_67_2_75, all_67_3_76 yields:
% 9.48/2.90  			| (113) (all_67_0_73 = 0 & disbanding_rate(efficient_producers, all_28_1_34) = all_67_2_75 & disbanding_rate(first_movers, all_28_1_34) = all_67_3_76 & difference(all_67_3_76, all_67_2_75) = all_67_1_74 & decreases(all_67_1_74) = 0) | (all_67_1_74 = 0 & greater(all_67_3_76, all_67_2_75) = 0 & disbanding_rate(efficient_producers, all_0_3_3) = all_67_2_75 & disbanding_rate(first_movers, all_0_3_3) = all_67_3_76) | ( ~ (all_67_3_76 = 0) & greater_or_equal(all_28_1_34, all_28_1_34) = all_67_3_76) | ( ~ (all_67_3_76 = 0) & environment(all_0_4_4) = all_67_3_76)
% 9.48/2.90  			|
% 9.48/2.90  			+-Applying beta-rule and splitting (62), into two cases.
% 9.48/2.90  			|-Branch one:
% 9.48/2.90  			| (114) all_0_0_0 = 0
% 9.48/2.90  			|
% 9.48/2.90  				| Equations (114) can reduce 3 to:
% 9.48/2.90  				| (115) $false
% 9.48/2.90  				|
% 9.48/2.90  				|-The branch is then unsatisfiable
% 9.48/2.90  			|-Branch two:
% 9.48/2.90  			| (3)  ~ (all_0_0_0 = 0)
% 9.48/2.90  			| (117) all_0_1_1 = all_0_2_2 |  ? [v0] : ( ~ (v0 = 0) & greater_or_equal(all_0_2_2, all_0_1_1) = v0)
% 9.48/2.90  			|
% 9.48/2.90  				+-Applying beta-rule and splitting (106), into two cases.
% 9.48/2.90  				|-Branch one:
% 9.48/2.90  				| (114) all_0_0_0 = 0
% 9.48/2.90  				|
% 9.48/2.90  					| Equations (114) can reduce 3 to:
% 9.48/2.90  					| (115) $false
% 9.48/2.90  					|
% 9.48/2.90  					|-The branch is then unsatisfiable
% 9.48/2.90  				|-Branch two:
% 9.48/2.90  				| (3)  ~ (all_0_0_0 = 0)
% 9.48/2.90  				| (121)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : ((v3 = 0 & disbanding_rate(efficient_producers, all_28_1_34) = v1 & disbanding_rate(first_movers, all_28_1_34) = v0 & difference(v0, v1) = v2 & decreases(v2) = 0) | ( ~ (v2 = 0) & greater(v0, v1) = v2 & disbanding_rate(efficient_producers, all_28_0_33) = v1 & disbanding_rate(first_movers, all_28_0_33) = v0) | ( ~ (v0 = 0) & greater_or_equal(all_0_3_3, all_28_1_34) = v0) | ( ~ (v0 = 0) & subpopulations(first_movers, efficient_producers, all_0_4_4, all_0_3_3) = v0))
% 9.48/2.90  				|
% 9.48/2.90  					+-Applying beta-rule and splitting (87), into two cases.
% 9.48/2.90  					|-Branch one:
% 9.48/2.90  					| (122) all_30_0_35 = 0 & subpopulations(first_movers, efficient_producers, all_0_4_4, all_30_2_37) = 0
% 9.48/2.90  					|
% 9.48/2.90  						| Applying alpha-rule on (122) yields:
% 9.48/2.90  						| (123) all_30_0_35 = 0
% 9.48/2.90  						| (124) subpopulations(first_movers, efficient_producers, all_0_4_4, all_30_2_37) = 0
% 9.48/2.90  						|
% 9.48/2.90  						| From (99) and (124) follows:
% 9.48/2.90  						| (125) subpopulations(first_movers, efficient_producers, all_0_4_4, all_28_1_34) = 0
% 9.48/2.90  						|
% 9.48/2.90  						| Instantiating formula (32) with all_28_1_34, all_0_4_4 and discharging atoms subpopulations(first_movers, efficient_producers, all_0_4_4, all_28_1_34) = 0, yields:
% 9.48/2.90  						| (126)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (( ~ (v3 = 0) & disbanding_rate(efficient_producers, all_28_1_34) = v1 & disbanding_rate(first_movers, all_28_1_34) = v0 & difference(v0, v1) = v2 & decreases(v2) = v3) | ( ~ (v0 = 0) & environment(all_0_4_4) = v0))
% 9.48/2.90  						|
% 9.48/2.90  						| Instantiating formula (26) with 0, all_28_1_34, all_0_4_4 and discharging atoms subpopulations(first_movers, efficient_producers, all_0_4_4, all_28_1_34) = 0, yields:
% 9.48/2.90  						| (127)  ? [v0] :  ? [v1] :  ? [v2] : ((v1 = 0 & initial_FM_EP(all_0_4_4) = v0 & greater_or_equal(all_28_1_34, v0) = 0 & ((v2 = 0 & subpopulations(first_movers, efficient_producers, all_0_4_4, v0) = 0) | ( ~ (v2 = 0) & in_environment(all_0_4_4, v0) = v2))) | ( ~ (v0 = 0) & environment(all_0_4_4) = v0))
% 9.48/2.91  						|
% 9.48/2.91  						| Instantiating (127) with all_93_0_121, all_93_1_122, all_93_2_123 yields:
% 9.48/2.91  						| (128) (all_93_1_122 = 0 & initial_FM_EP(all_0_4_4) = all_93_2_123 & greater_or_equal(all_28_1_34, all_93_2_123) = 0 & ((all_93_0_121 = 0 & subpopulations(first_movers, efficient_producers, all_0_4_4, all_93_2_123) = 0) | ( ~ (all_93_0_121 = 0) & in_environment(all_0_4_4, all_93_2_123) = all_93_0_121))) | ( ~ (all_93_2_123 = 0) & environment(all_0_4_4) = all_93_2_123)
% 9.48/2.91  						|
% 9.48/2.91  						| Instantiating (126) with all_95_0_125, all_95_1_126, all_95_2_127, all_95_3_128 yields:
% 9.48/2.91  						| (129) ( ~ (all_95_0_125 = 0) & disbanding_rate(efficient_producers, all_28_1_34) = all_95_2_127 & disbanding_rate(first_movers, all_28_1_34) = all_95_3_128 & difference(all_95_3_128, all_95_2_127) = all_95_1_126 & decreases(all_95_1_126) = all_95_0_125) | ( ~ (all_95_3_128 = 0) & environment(all_0_4_4) = all_95_3_128)
% 9.48/2.91  						|
% 9.48/2.91  						+-Applying beta-rule and splitting (129), into two cases.
% 9.48/2.91  						|-Branch one:
% 9.48/2.91  						| (130)  ~ (all_95_0_125 = 0) & disbanding_rate(efficient_producers, all_28_1_34) = all_95_2_127 & disbanding_rate(first_movers, all_28_1_34) = all_95_3_128 & difference(all_95_3_128, all_95_2_127) = all_95_1_126 & decreases(all_95_1_126) = all_95_0_125
% 9.48/2.91  						|
% 9.48/2.91  							| Applying alpha-rule on (130) yields:
% 9.48/2.91  							| (131) decreases(all_95_1_126) = all_95_0_125
% 9.48/2.91  							| (132) difference(all_95_3_128, all_95_2_127) = all_95_1_126
% 9.48/2.91  							| (133) disbanding_rate(first_movers, all_28_1_34) = all_95_3_128
% 9.48/2.91  							| (134) disbanding_rate(efficient_producers, all_28_1_34) = all_95_2_127
% 9.48/2.91  							| (135)  ~ (all_95_0_125 = 0)
% 9.48/2.91  							|
% 9.48/2.91  							+-Applying beta-rule and splitting (128), into two cases.
% 9.48/2.91  							|-Branch one:
% 9.48/2.91  							| (136) all_93_1_122 = 0 & initial_FM_EP(all_0_4_4) = all_93_2_123 & greater_or_equal(all_28_1_34, all_93_2_123) = 0 & ((all_93_0_121 = 0 & subpopulations(first_movers, efficient_producers, all_0_4_4, all_93_2_123) = 0) | ( ~ (all_93_0_121 = 0) & in_environment(all_0_4_4, all_93_2_123) = all_93_0_121))
% 9.48/2.91  							|
% 9.48/2.91  								| Applying alpha-rule on (136) yields:
% 9.48/2.91  								| (137) all_93_1_122 = 0
% 9.48/2.91  								| (138) initial_FM_EP(all_0_4_4) = all_93_2_123
% 9.48/2.91  								| (139) greater_or_equal(all_28_1_34, all_93_2_123) = 0
% 9.48/2.91  								| (140) (all_93_0_121 = 0 & subpopulations(first_movers, efficient_producers, all_0_4_4, all_93_2_123) = 0) | ( ~ (all_93_0_121 = 0) & in_environment(all_0_4_4, all_93_2_123) = all_93_0_121)
% 9.48/2.91  								|
% 9.48/2.91  								| Instantiating formula (19) with all_0_4_4, all_93_2_123, all_28_1_34 and discharging atoms initial_FM_EP(all_0_4_4) = all_93_2_123, initial_FM_EP(all_0_4_4) = all_28_1_34, yields:
% 9.48/2.91  								| (141) all_93_2_123 = all_28_1_34
% 9.48/2.91  								|
% 9.48/2.91  								| Instantiating formula (21) with efficient_producers, all_28_1_34, all_95_2_127, all_33_0_43 and discharging atoms disbanding_rate(efficient_producers, all_28_1_34) = all_95_2_127, disbanding_rate(efficient_producers, all_28_1_34) = all_33_0_43, yields:
% 9.48/2.91  								| (142) all_95_2_127 = all_33_0_43
% 9.48/2.91  								|
% 9.48/2.91  								| Instantiating formula (21) with first_movers, all_28_1_34, all_95_3_128, all_33_1_44 and discharging atoms disbanding_rate(first_movers, all_28_1_34) = all_95_3_128, disbanding_rate(first_movers, all_28_1_34) = all_33_1_44, yields:
% 9.48/2.91  								| (143) all_95_3_128 = all_33_1_44
% 9.48/2.91  								|
% 9.48/2.91  								| From (141) and (139) follows:
% 9.48/2.91  								| (144) greater_or_equal(all_28_1_34, all_28_1_34) = 0
% 9.48/2.91  								|
% 9.48/2.91  								| From (142) and (134) follows:
% 9.48/2.91  								| (102) disbanding_rate(efficient_producers, all_28_1_34) = all_33_0_43
% 9.48/2.91  								|
% 9.48/2.91  								| From (143) and (133) follows:
% 9.48/2.91  								| (104) disbanding_rate(first_movers, all_28_1_34) = all_33_1_44
% 9.48/2.91  								|
% 9.48/2.91  								| From (143)(142) and (132) follows:
% 9.48/2.91  								| (147) difference(all_33_1_44, all_33_0_43) = all_95_1_126
% 9.48/2.91  								|
% 9.48/2.91  								+-Applying beta-rule and splitting (111), into two cases.
% 9.48/2.91  								|-Branch one:
% 9.48/2.91  								| (148) (all_56_0_46 = 0 & disbanding_rate(efficient_producers, all_28_1_34) = all_56_2_48 & disbanding_rate(first_movers, all_28_1_34) = all_56_3_49 & difference(all_56_3_49, all_56_2_48) = all_56_1_47 & decreases(all_56_1_47) = 0) | (all_56_1_47 = 0 & greater(all_56_3_49, all_56_2_48) = 0 & disbanding_rate(efficient_producers, all_0_3_3) = all_56_2_48 & disbanding_rate(first_movers, all_0_3_3) = all_56_3_49) | ( ~ (all_56_3_49 = 0) & greater_or_equal(all_28_1_34, all_28_1_34) = all_56_3_49)
% 9.48/2.91  								|
% 9.48/2.91  									+-Applying beta-rule and splitting (148), into two cases.
% 9.48/2.91  									|-Branch one:
% 9.48/2.91  									| (149) (all_56_0_46 = 0 & disbanding_rate(efficient_producers, all_28_1_34) = all_56_2_48 & disbanding_rate(first_movers, all_28_1_34) = all_56_3_49 & difference(all_56_3_49, all_56_2_48) = all_56_1_47 & decreases(all_56_1_47) = 0) | (all_56_1_47 = 0 & greater(all_56_3_49, all_56_2_48) = 0 & disbanding_rate(efficient_producers, all_0_3_3) = all_56_2_48 & disbanding_rate(first_movers, all_0_3_3) = all_56_3_49)
% 9.48/2.91  									|
% 9.48/2.91  										+-Applying beta-rule and splitting (149), into two cases.
% 9.48/2.91  										|-Branch one:
% 9.48/2.91  										| (150) all_56_0_46 = 0 & disbanding_rate(efficient_producers, all_28_1_34) = all_56_2_48 & disbanding_rate(first_movers, all_28_1_34) = all_56_3_49 & difference(all_56_3_49, all_56_2_48) = all_56_1_47 & decreases(all_56_1_47) = 0
% 9.48/2.91  										|
% 9.48/2.91  											| Applying alpha-rule on (150) yields:
% 9.48/2.91  											| (151) disbanding_rate(efficient_producers, all_28_1_34) = all_56_2_48
% 9.48/2.91  											| (152) all_56_0_46 = 0
% 9.48/2.91  											| (153) difference(all_56_3_49, all_56_2_48) = all_56_1_47
% 9.48/2.91  											| (154) disbanding_rate(first_movers, all_28_1_34) = all_56_3_49
% 9.48/2.91  											| (155) decreases(all_56_1_47) = 0
% 9.48/2.91  											|
% 9.48/2.91  											+-Applying beta-rule and splitting (113), into two cases.
% 9.48/2.91  											|-Branch one:
% 9.48/2.91  											| (156) (all_67_0_73 = 0 & disbanding_rate(efficient_producers, all_28_1_34) = all_67_2_75 & disbanding_rate(first_movers, all_28_1_34) = all_67_3_76 & difference(all_67_3_76, all_67_2_75) = all_67_1_74 & decreases(all_67_1_74) = 0) | (all_67_1_74 = 0 & greater(all_67_3_76, all_67_2_75) = 0 & disbanding_rate(efficient_producers, all_0_3_3) = all_67_2_75 & disbanding_rate(first_movers, all_0_3_3) = all_67_3_76) | ( ~ (all_67_3_76 = 0) & greater_or_equal(all_28_1_34, all_28_1_34) = all_67_3_76)
% 9.48/2.91  											|
% 9.48/2.91  												+-Applying beta-rule and splitting (156), into two cases.
% 9.48/2.91  												|-Branch one:
% 9.48/2.91  												| (157) (all_67_0_73 = 0 & disbanding_rate(efficient_producers, all_28_1_34) = all_67_2_75 & disbanding_rate(first_movers, all_28_1_34) = all_67_3_76 & difference(all_67_3_76, all_67_2_75) = all_67_1_74 & decreases(all_67_1_74) = 0) | (all_67_1_74 = 0 & greater(all_67_3_76, all_67_2_75) = 0 & disbanding_rate(efficient_producers, all_0_3_3) = all_67_2_75 & disbanding_rate(first_movers, all_0_3_3) = all_67_3_76)
% 9.48/2.91  												|
% 9.48/2.91  													+-Applying beta-rule and splitting (157), into two cases.
% 9.48/2.91  													|-Branch one:
% 9.48/2.91  													| (158) all_67_0_73 = 0 & disbanding_rate(efficient_producers, all_28_1_34) = all_67_2_75 & disbanding_rate(first_movers, all_28_1_34) = all_67_3_76 & difference(all_67_3_76, all_67_2_75) = all_67_1_74 & decreases(all_67_1_74) = 0
% 9.48/2.91  													|
% 9.48/2.91  														| Applying alpha-rule on (158) yields:
% 9.48/2.91  														| (159) disbanding_rate(efficient_producers, all_28_1_34) = all_67_2_75
% 9.48/2.91  														| (160) decreases(all_67_1_74) = 0
% 9.48/2.91  														| (161) all_67_0_73 = 0
% 9.48/2.91  														| (162) disbanding_rate(first_movers, all_28_1_34) = all_67_3_76
% 9.48/2.91  														| (163) difference(all_67_3_76, all_67_2_75) = all_67_1_74
% 9.48/2.91  														|
% 9.48/2.91  														| Instantiating formula (21) with efficient_producers, all_28_1_34, all_67_2_75, all_33_0_43 and discharging atoms disbanding_rate(efficient_producers, all_28_1_34) = all_67_2_75, disbanding_rate(efficient_producers, all_28_1_34) = all_33_0_43, yields:
% 9.48/2.91  														| (164) all_67_2_75 = all_33_0_43
% 9.48/2.91  														|
% 9.48/2.91  														| Instantiating formula (21) with efficient_producers, all_28_1_34, all_56_2_48, all_67_2_75 and discharging atoms disbanding_rate(efficient_producers, all_28_1_34) = all_67_2_75, disbanding_rate(efficient_producers, all_28_1_34) = all_56_2_48, yields:
% 9.48/2.91  														| (165) all_67_2_75 = all_56_2_48
% 9.48/2.91  														|
% 9.48/2.91  														| Instantiating formula (21) with first_movers, all_28_1_34, all_67_3_76, all_33_1_44 and discharging atoms disbanding_rate(first_movers, all_28_1_34) = all_67_3_76, disbanding_rate(first_movers, all_28_1_34) = all_33_1_44, yields:
% 9.48/2.91  														| (166) all_67_3_76 = all_33_1_44
% 9.48/2.91  														|
% 9.48/2.91  														| Instantiating formula (21) with first_movers, all_28_1_34, all_56_3_49, all_67_3_76 and discharging atoms disbanding_rate(first_movers, all_28_1_34) = all_67_3_76, disbanding_rate(first_movers, all_28_1_34) = all_56_3_49, yields:
% 9.48/2.92  														| (167) all_67_3_76 = all_56_3_49
% 9.48/2.92  														|
% 9.48/2.92  														| Combining equations (165,164) yields a new equation:
% 9.48/2.92  														| (168) all_56_2_48 = all_33_0_43
% 9.48/2.92  														|
% 9.48/2.92  														| Simplifying 168 yields:
% 9.48/2.92  														| (169) all_56_2_48 = all_33_0_43
% 9.48/2.92  														|
% 9.48/2.92  														| Combining equations (166,167) yields a new equation:
% 9.48/2.92  														| (170) all_56_3_49 = all_33_1_44
% 9.48/2.92  														|
% 9.48/2.92  														| Combining equations (170,167) yields a new equation:
% 9.48/2.92  														| (166) all_67_3_76 = all_33_1_44
% 9.48/2.92  														|
% 9.48/2.92  														| From (166)(164) and (163) follows:
% 9.48/2.92  														| (172) difference(all_33_1_44, all_33_0_43) = all_67_1_74
% 9.48/2.92  														|
% 9.48/2.92  														| From (170)(169) and (153) follows:
% 9.48/2.92  														| (173) difference(all_33_1_44, all_33_0_43) = all_56_1_47
% 9.48/2.92  														|
% 9.48/2.92  														| Instantiating formula (57) with all_33_1_44, all_33_0_43, all_67_1_74, all_95_1_126 and discharging atoms difference(all_33_1_44, all_33_0_43) = all_95_1_126, difference(all_33_1_44, all_33_0_43) = all_67_1_74, yields:
% 9.48/2.92  														| (174) all_95_1_126 = all_67_1_74
% 9.48/2.92  														|
% 9.48/2.92  														| Instantiating formula (57) with all_33_1_44, all_33_0_43, all_56_1_47, all_95_1_126 and discharging atoms difference(all_33_1_44, all_33_0_43) = all_95_1_126, difference(all_33_1_44, all_33_0_43) = all_56_1_47, yields:
% 9.48/2.92  														| (175) all_95_1_126 = all_56_1_47
% 9.48/2.92  														|
% 9.48/2.92  														| Combining equations (174,175) yields a new equation:
% 9.48/2.92  														| (176) all_67_1_74 = all_56_1_47
% 9.48/2.92  														|
% 9.48/2.92  														| Simplifying 176 yields:
% 9.48/2.92  														| (177) all_67_1_74 = all_56_1_47
% 9.48/2.92  														|
% 9.48/2.92  														| From (175) and (131) follows:
% 9.48/2.92  														| (178) decreases(all_56_1_47) = all_95_0_125
% 9.48/2.92  														|
% 9.48/2.92  														| From (177) and (160) follows:
% 9.48/2.92  														| (155) decreases(all_56_1_47) = 0
% 9.48/2.92  														|
% 9.48/2.92  														| Instantiating formula (23) with all_56_1_47, all_95_0_125, 0 and discharging atoms decreases(all_56_1_47) = all_95_0_125, decreases(all_56_1_47) = 0, yields:
% 9.48/2.92  														| (180) all_95_0_125 = 0
% 9.48/2.92  														|
% 9.48/2.92  														| Equations (180) can reduce 135 to:
% 9.48/2.92  														| (115) $false
% 9.48/2.92  														|
% 9.48/2.92  														|-The branch is then unsatisfiable
% 9.48/2.92  													|-Branch two:
% 9.48/2.92  													| (182) all_67_1_74 = 0 & greater(all_67_3_76, all_67_2_75) = 0 & disbanding_rate(efficient_producers, all_0_3_3) = all_67_2_75 & disbanding_rate(first_movers, all_0_3_3) = all_67_3_76
% 9.48/2.92  													|
% 9.48/2.92  														| Applying alpha-rule on (182) yields:
% 9.48/2.92  														| (183) all_67_1_74 = 0
% 9.48/2.92  														| (184) greater(all_67_3_76, all_67_2_75) = 0
% 9.48/2.92  														| (185) disbanding_rate(efficient_producers, all_0_3_3) = all_67_2_75
% 9.48/2.92  														| (186) disbanding_rate(first_movers, all_0_3_3) = all_67_3_76
% 9.48/2.92  														|
% 9.48/2.92  														| Instantiating formula (21) with efficient_producers, all_0_3_3, all_67_2_75, all_0_1_1 and discharging atoms disbanding_rate(efficient_producers, all_0_3_3) = all_67_2_75, disbanding_rate(efficient_producers, all_0_3_3) = all_0_1_1, yields:
% 9.48/2.92  														| (187) all_67_2_75 = all_0_1_1
% 9.48/2.92  														|
% 9.48/2.92  														| Instantiating formula (21) with first_movers, all_0_3_3, all_67_3_76, all_0_2_2 and discharging atoms disbanding_rate(first_movers, all_0_3_3) = all_67_3_76, disbanding_rate(first_movers, all_0_3_3) = all_0_2_2, yields:
% 9.48/2.92  														| (188) all_67_3_76 = all_0_2_2
% 9.48/2.92  														|
% 9.48/2.92  														| From (188)(187) and (184) follows:
% 9.48/2.92  														| (189) greater(all_0_2_2, all_0_1_1) = 0
% 9.48/2.92  														|
% 9.48/2.92  														| Instantiating formula (38) with all_0_2_2, all_0_1_1, 0, all_0_0_0 and discharging atoms greater(all_0_2_2, all_0_1_1) = all_0_0_0, greater(all_0_2_2, all_0_1_1) = 0, yields:
% 9.90/2.92  														| (114) all_0_0_0 = 0
% 9.90/2.92  														|
% 9.90/2.92  														| Equations (114) can reduce 3 to:
% 9.90/2.92  														| (115) $false
% 9.90/2.92  														|
% 9.90/2.92  														|-The branch is then unsatisfiable
% 9.90/2.92  												|-Branch two:
% 9.90/2.92  												| (192)  ~ (all_67_3_76 = 0) & greater_or_equal(all_28_1_34, all_28_1_34) = all_67_3_76
% 9.90/2.92  												|
% 9.90/2.92  													| Applying alpha-rule on (192) yields:
% 9.90/2.92  													| (193)  ~ (all_67_3_76 = 0)
% 9.90/2.92  													| (194) greater_or_equal(all_28_1_34, all_28_1_34) = all_67_3_76
% 9.90/2.92  													|
% 9.90/2.92  													| Instantiating formula (37) with all_28_1_34, all_28_1_34, 0, all_67_3_76 and discharging atoms greater_or_equal(all_28_1_34, all_28_1_34) = all_67_3_76, greater_or_equal(all_28_1_34, all_28_1_34) = 0, yields:
% 9.90/2.92  													| (195) all_67_3_76 = 0
% 9.90/2.92  													|
% 9.90/2.92  													| Equations (195) can reduce 193 to:
% 9.90/2.92  													| (115) $false
% 9.90/2.92  													|
% 9.90/2.92  													|-The branch is then unsatisfiable
% 9.90/2.92  											|-Branch two:
% 9.90/2.92  											| (197)  ~ (all_67_3_76 = 0) & environment(all_0_4_4) = all_67_3_76
% 9.90/2.92  											|
% 9.90/2.92  												| Applying alpha-rule on (197) yields:
% 9.90/2.92  												| (193)  ~ (all_67_3_76 = 0)
% 9.90/2.92  												| (199) environment(all_0_4_4) = all_67_3_76
% 9.90/2.92  												|
% 9.90/2.92  												| Instantiating formula (59) with all_0_4_4, all_67_3_76, 0 and discharging atoms environment(all_0_4_4) = all_67_3_76, environment(all_0_4_4) = 0, yields:
% 9.90/2.92  												| (195) all_67_3_76 = 0
% 9.90/2.92  												|
% 9.90/2.92  												| Equations (195) can reduce 193 to:
% 9.90/2.92  												| (115) $false
% 9.90/2.92  												|
% 9.90/2.92  												|-The branch is then unsatisfiable
% 9.90/2.92  										|-Branch two:
% 9.90/2.92  										| (202) all_56_1_47 = 0 & greater(all_56_3_49, all_56_2_48) = 0 & disbanding_rate(efficient_producers, all_0_3_3) = all_56_2_48 & disbanding_rate(first_movers, all_0_3_3) = all_56_3_49
% 9.90/2.92  										|
% 9.90/2.92  											| Applying alpha-rule on (202) yields:
% 9.90/2.92  											| (203) all_56_1_47 = 0
% 9.90/2.92  											| (204) greater(all_56_3_49, all_56_2_48) = 0
% 9.90/2.92  											| (205) disbanding_rate(efficient_producers, all_0_3_3) = all_56_2_48
% 9.90/2.92  											| (206) disbanding_rate(first_movers, all_0_3_3) = all_56_3_49
% 9.90/2.92  											|
% 9.90/2.92  											| Instantiating formula (21) with efficient_producers, all_0_3_3, all_56_2_48, all_0_1_1 and discharging atoms disbanding_rate(efficient_producers, all_0_3_3) = all_56_2_48, disbanding_rate(efficient_producers, all_0_3_3) = all_0_1_1, yields:
% 9.90/2.92  											| (207) all_56_2_48 = all_0_1_1
% 9.90/2.92  											|
% 9.90/2.92  											| Instantiating formula (21) with first_movers, all_0_3_3, all_56_3_49, all_0_2_2 and discharging atoms disbanding_rate(first_movers, all_0_3_3) = all_56_3_49, disbanding_rate(first_movers, all_0_3_3) = all_0_2_2, yields:
% 9.90/2.92  											| (208) all_56_3_49 = all_0_2_2
% 9.90/2.92  											|
% 9.90/2.92  											| From (208)(207) and (204) follows:
% 9.90/2.92  											| (189) greater(all_0_2_2, all_0_1_1) = 0
% 9.90/2.92  											|
% 9.90/2.92  											| Instantiating formula (38) with all_0_2_2, all_0_1_1, 0, all_0_0_0 and discharging atoms greater(all_0_2_2, all_0_1_1) = all_0_0_0, greater(all_0_2_2, all_0_1_1) = 0, yields:
% 9.90/2.92  											| (114) all_0_0_0 = 0
% 9.90/2.92  											|
% 9.90/2.92  											| Equations (114) can reduce 3 to:
% 9.90/2.92  											| (115) $false
% 9.90/2.92  											|
% 9.90/2.92  											|-The branch is then unsatisfiable
% 9.90/2.92  									|-Branch two:
% 9.90/2.92  									| (212)  ~ (all_56_3_49 = 0) & greater_or_equal(all_28_1_34, all_28_1_34) = all_56_3_49
% 9.90/2.92  									|
% 9.90/2.92  										| Applying alpha-rule on (212) yields:
% 9.90/2.92  										| (213)  ~ (all_56_3_49 = 0)
% 9.90/2.92  										| (214) greater_or_equal(all_28_1_34, all_28_1_34) = all_56_3_49
% 9.90/2.92  										|
% 9.90/2.92  										| Instantiating formula (37) with all_28_1_34, all_28_1_34, 0, all_56_3_49 and discharging atoms greater_or_equal(all_28_1_34, all_28_1_34) = all_56_3_49, greater_or_equal(all_28_1_34, all_28_1_34) = 0, yields:
% 9.90/2.92  										| (215) all_56_3_49 = 0
% 9.90/2.92  										|
% 9.90/2.92  										| Equations (215) can reduce 213 to:
% 9.90/2.92  										| (115) $false
% 9.90/2.92  										|
% 9.90/2.92  										|-The branch is then unsatisfiable
% 9.90/2.92  								|-Branch two:
% 9.90/2.92  								| (217)  ~ (all_56_3_49 = 0) & subpopulations(first_movers, efficient_producers, all_0_4_4, all_0_3_3) = all_56_3_49
% 9.90/2.92  								|
% 9.90/2.92  									| Applying alpha-rule on (217) yields:
% 9.90/2.92  									| (213)  ~ (all_56_3_49 = 0)
% 9.90/2.92  									| (219) subpopulations(first_movers, efficient_producers, all_0_4_4, all_0_3_3) = all_56_3_49
% 9.90/2.92  									|
% 9.90/2.92  									| Instantiating formula (28) with first_movers, efficient_producers, all_0_4_4, all_0_3_3, all_56_3_49, 0 and discharging atoms subpopulations(first_movers, efficient_producers, all_0_4_4, all_0_3_3) = all_56_3_49, subpopulations(first_movers, efficient_producers, all_0_4_4, all_0_3_3) = 0, yields:
% 9.90/2.92  									| (215) all_56_3_49 = 0
% 9.90/2.92  									|
% 9.90/2.92  									| Equations (215) can reduce 213 to:
% 9.90/2.92  									| (115) $false
% 9.90/2.92  									|
% 9.90/2.92  									|-The branch is then unsatisfiable
% 9.90/2.92  							|-Branch two:
% 9.90/2.92  							| (222)  ~ (all_93_2_123 = 0) & environment(all_0_4_4) = all_93_2_123
% 9.90/2.92  							|
% 9.90/2.92  								| Applying alpha-rule on (222) yields:
% 9.90/2.92  								| (223)  ~ (all_93_2_123 = 0)
% 9.90/2.92  								| (224) environment(all_0_4_4) = all_93_2_123
% 9.90/2.92  								|
% 9.90/2.93  								| Instantiating formula (59) with all_0_4_4, all_93_2_123, 0 and discharging atoms environment(all_0_4_4) = all_93_2_123, environment(all_0_4_4) = 0, yields:
% 9.90/2.93  								| (225) all_93_2_123 = 0
% 9.90/2.93  								|
% 9.90/2.93  								| Equations (225) can reduce 223 to:
% 9.90/2.93  								| (115) $false
% 9.90/2.93  								|
% 9.90/2.93  								|-The branch is then unsatisfiable
% 9.90/2.93  						|-Branch two:
% 9.90/2.93  						| (227)  ~ (all_95_3_128 = 0) & environment(all_0_4_4) = all_95_3_128
% 9.90/2.93  						|
% 9.90/2.93  							| Applying alpha-rule on (227) yields:
% 9.90/2.93  							| (228)  ~ (all_95_3_128 = 0)
% 9.90/2.93  							| (229) environment(all_0_4_4) = all_95_3_128
% 9.90/2.93  							|
% 9.90/2.93  							| Instantiating formula (59) with all_0_4_4, all_95_3_128, 0 and discharging atoms environment(all_0_4_4) = all_95_3_128, environment(all_0_4_4) = 0, yields:
% 9.90/2.93  							| (230) all_95_3_128 = 0
% 9.90/2.93  							|
% 9.90/2.93  							| Equations (230) can reduce 228 to:
% 9.90/2.93  							| (115) $false
% 9.90/2.93  							|
% 9.90/2.93  							|-The branch is then unsatisfiable
% 9.90/2.93  					|-Branch two:
% 9.90/2.93  					| (232)  ~ (all_30_0_35 = 0) & in_environment(all_0_4_4, all_30_2_37) = all_30_0_35
% 9.90/2.93  					|
% 9.90/2.93  						| Applying alpha-rule on (232) yields:
% 9.90/2.93  						| (233)  ~ (all_30_0_35 = 0)
% 9.90/2.93  						| (234) in_environment(all_0_4_4, all_30_2_37) = all_30_0_35
% 9.90/2.93  						|
% 9.90/2.93  						| From (99) and (234) follows:
% 9.90/2.93  						| (235) in_environment(all_0_4_4, all_28_1_34) = all_30_0_35
% 9.90/2.93  						|
% 9.90/2.93  						+-Applying beta-rule and splitting (112), into two cases.
% 9.90/2.93  						|-Branch one:
% 9.90/2.93  						| (236) (all_66_0_72 = 0 & in_environment(all_0_4_4, all_28_1_34) = 0) | ( ~ (all_66_0_72 = 0) & greater(all_0_3_3, all_28_1_34) = all_66_0_72)
% 9.90/2.93  						|
% 9.90/2.93  							+-Applying beta-rule and splitting (236), into two cases.
% 9.90/2.93  							|-Branch one:
% 9.90/2.93  							| (237) all_66_0_72 = 0 & in_environment(all_0_4_4, all_28_1_34) = 0
% 9.90/2.93  							|
% 9.90/2.93  								| Applying alpha-rule on (237) yields:
% 9.90/2.93  								| (238) all_66_0_72 = 0
% 9.90/2.93  								| (239) in_environment(all_0_4_4, all_28_1_34) = 0
% 9.90/2.93  								|
% 9.90/2.93  								| Instantiating formula (41) with all_0_4_4, all_28_1_34, 0, all_30_0_35 and discharging atoms in_environment(all_0_4_4, all_28_1_34) = all_30_0_35, in_environment(all_0_4_4, all_28_1_34) = 0, yields:
% 9.90/2.93  								| (123) all_30_0_35 = 0
% 9.90/2.93  								|
% 9.90/2.93  								| Equations (123) can reduce 233 to:
% 9.90/2.93  								| (115) $false
% 9.90/2.93  								|
% 9.90/2.93  								|-The branch is then unsatisfiable
% 9.90/2.93  							|-Branch two:
% 9.90/2.93  							| (242)  ~ (all_66_0_72 = 0) & greater(all_0_3_3, all_28_1_34) = all_66_0_72
% 9.90/2.93  							|
% 9.90/2.93  								| Applying alpha-rule on (242) yields:
% 9.90/2.93  								| (243)  ~ (all_66_0_72 = 0)
% 9.90/2.93  								| (244) greater(all_0_3_3, all_28_1_34) = all_66_0_72
% 9.90/2.93  								|
% 9.90/2.93  								+-Applying beta-rule and splitting (107), into two cases.
% 9.90/2.93  								|-Branch one:
% 9.90/2.93  								| (245) greater(all_0_3_3, all_28_1_34) = 0
% 9.90/2.93  								|
% 9.90/2.93  									| Instantiating formula (38) with all_0_3_3, all_28_1_34, 0, all_66_0_72 and discharging atoms greater(all_0_3_3, all_28_1_34) = all_66_0_72, greater(all_0_3_3, all_28_1_34) = 0, yields:
% 9.90/2.93  									| (238) all_66_0_72 = 0
% 9.90/2.93  									|
% 9.90/2.93  									| Equations (238) can reduce 243 to:
% 9.90/2.93  									| (115) $false
% 9.90/2.93  									|
% 9.90/2.93  									|-The branch is then unsatisfiable
% 9.90/2.93  								|-Branch two:
% 9.90/2.93  								| (248)  ~ (greater(all_0_3_3, all_28_1_34) = 0)
% 9.90/2.93  								| (249) all_28_1_34 = all_0_3_3
% 9.90/2.93  								|
% 9.90/2.93  									| From (249) and (235) follows:
% 9.90/2.93  									| (250) in_environment(all_0_4_4, all_0_3_3) = all_30_0_35
% 9.90/2.93  									|
% 9.90/2.93  									| Instantiating formula (41) with all_0_4_4, all_0_3_3, all_30_0_35, 0 and discharging atoms in_environment(all_0_4_4, all_0_3_3) = all_30_0_35, in_environment(all_0_4_4, all_0_3_3) = 0, yields:
% 9.90/2.93  									| (123) all_30_0_35 = 0
% 9.90/2.93  									|
% 9.90/2.93  									| Equations (123) can reduce 233 to:
% 9.90/2.93  									| (115) $false
% 9.90/2.93  									|
% 9.90/2.93  									|-The branch is then unsatisfiable
% 9.90/2.93  						|-Branch two:
% 9.90/2.93  						| (253)  ~ (all_66_0_72 = 0) & environment(all_0_4_4) = all_66_0_72
% 9.90/2.93  						|
% 9.90/2.93  							| Applying alpha-rule on (253) yields:
% 9.90/2.93  							| (243)  ~ (all_66_0_72 = 0)
% 9.90/2.93  							| (255) environment(all_0_4_4) = all_66_0_72
% 9.90/2.93  							|
% 9.90/2.93  							| Instantiating formula (59) with all_0_4_4, all_66_0_72, 0 and discharging atoms environment(all_0_4_4) = all_66_0_72, environment(all_0_4_4) = 0, yields:
% 9.90/2.93  							| (238) all_66_0_72 = 0
% 9.90/2.93  							|
% 9.90/2.93  							| Equations (238) can reduce 243 to:
% 9.90/2.93  							| (115) $false
% 9.90/2.93  							|
% 9.90/2.93  							|-The branch is then unsatisfiable
% 9.90/2.93  		|-Branch two:
% 9.90/2.93  		| (258)  ~ (all_31_3_41 = 0) & environment(all_0_4_4) = all_31_3_41
% 9.90/2.93  		|
% 9.90/2.93  			| Applying alpha-rule on (258) yields:
% 9.90/2.93  			| (259)  ~ (all_31_3_41 = 0)
% 9.90/2.93  			| (260) environment(all_0_4_4) = all_31_3_41
% 9.90/2.93  			|
% 9.90/2.93  			| Instantiating formula (59) with all_0_4_4, all_31_3_41, 0 and discharging atoms environment(all_0_4_4) = all_31_3_41, environment(all_0_4_4) = 0, yields:
% 9.90/2.93  			| (261) all_31_3_41 = 0
% 9.90/2.93  			|
% 9.90/2.93  			| Equations (261) can reduce 259 to:
% 9.90/2.93  			| (115) $false
% 9.90/2.93  			|
% 9.90/2.93  			|-The branch is then unsatisfiable
% 9.90/2.93  	|-Branch two:
% 9.90/2.93  	| (263)  ~ (all_30_2_37 = 0) & environment(all_0_4_4) = all_30_2_37
% 9.90/2.93  	|
% 9.90/2.93  		| Applying alpha-rule on (263) yields:
% 9.90/2.93  		| (264)  ~ (all_30_2_37 = 0)
% 9.90/2.93  		| (265) environment(all_0_4_4) = all_30_2_37
% 9.90/2.93  		|
% 9.90/2.93  		| Instantiating formula (59) with all_0_4_4, all_30_2_37, 0 and discharging atoms environment(all_0_4_4) = all_30_2_37, environment(all_0_4_4) = 0, yields:
% 9.90/2.93  		| (266) all_30_2_37 = 0
% 9.90/2.93  		|
% 9.90/2.93  		| Equations (266) can reduce 264 to:
% 9.90/2.93  		| (115) $false
% 9.90/2.93  		|
% 9.90/2.93  		|-The branch is then unsatisfiable
% 9.90/2.93  |-Branch two:
% 9.90/2.93  | (268)  ~ (all_32_0_42 = 0) & environment(all_0_4_4) = all_32_0_42
% 9.90/2.93  |
% 9.90/2.93  	| Applying alpha-rule on (268) yields:
% 9.90/2.93  	| (269)  ~ (all_32_0_42 = 0)
% 9.90/2.93  	| (270) environment(all_0_4_4) = all_32_0_42
% 9.90/2.93  	|
% 9.90/2.93  	| Instantiating formula (59) with all_0_4_4, all_32_0_42, 0 and discharging atoms environment(all_0_4_4) = all_32_0_42, environment(all_0_4_4) = 0, yields:
% 9.90/2.93  	| (81) all_32_0_42 = 0
% 9.90/2.93  	|
% 9.90/2.93  	| Equations (81) can reduce 269 to:
% 9.90/2.93  	| (115) $false
% 9.90/2.93  	|
% 9.90/2.93  	|-The branch is then unsatisfiable
% 9.90/2.93  % SZS output end Proof for theBenchmark
% 9.90/2.93  
% 9.90/2.93  2320ms
%------------------------------------------------------------------------------