TSTP Solution File: MGT024-1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : MGT024-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n022.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  : 300s
% DateTime : Sun Sep 18 05:21:56 EDT 2022

% Result   : Unsatisfiable 0.20s 0.39s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MGT024-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.33  % Computer : n022.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Fri Sep  2 02:42:25 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.34  Usage: tptp [options] [-file:]file
% 0.14/0.34    -h, -?       prints this message.
% 0.14/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.14/0.34    -m, -model   generate model.
% 0.14/0.34    -p, -proof   generate proof.
% 0.14/0.34    -c, -core    generate unsat core of named formulas.
% 0.14/0.34    -st, -statistics display statistics.
% 0.14/0.34    -t:timeout   set timeout (in second).
% 0.14/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.14/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.34    -<param>:<value> configuration parameter and value.
% 0.14/0.34    -o:<output-file> file to place output in.
% 0.20/0.39  % SZS status Unsatisfiable
% 0.20/0.39  % SZS output start Proof
% 0.20/0.39  tff(greater_type, type, (
% 0.20/0.39     greater: ( $i * $i ) > $o)).
% 0.20/0.39  tff(growth_rate_type, type, (
% 0.20/0.39     growth_rate: ( $i * $i ) > $i)).
% 0.20/0.39  tff(sk2_type, type, (
% 0.20/0.39     sk2: $i)).
% 0.20/0.39  tff(efficient_producers_type, type, (
% 0.20/0.39     efficient_producers: $i)).
% 0.20/0.39  tff(zero_type, type, (
% 0.20/0.39     zero: $i)).
% 0.20/0.39  tff(first_movers_type, type, (
% 0.20/0.39     first_movers: $i)).
% 0.20/0.39  tff(constant_type, type, (
% 0.20/0.39     constant: $i > $o)).
% 0.20/0.39  tff(number_of_organizations_type, type, (
% 0.20/0.39     number_of_organizations: ( $i * $i ) > $i)).
% 0.20/0.39  tff(sk1_type, type, (
% 0.20/0.39     sk1: $i)).
% 0.20/0.39  tff(resources_type, type, (
% 0.20/0.39     resources: ( $i * $i ) > $i)).
% 0.20/0.39  tff(equilibrium_type, type, (
% 0.20/0.39     equilibrium: $i > $i)).
% 0.20/0.39  tff(greater_or_equal_type, type, (
% 0.20/0.39     greater_or_equal: ( $i * $i ) > $o)).
% 0.20/0.39  tff(environment_type, type, (
% 0.20/0.39     environment: $i > $o)).
% 0.20/0.39  tff(subpopulations_type, type, (
% 0.20/0.39     subpopulations: ( $i * $i * $i * $i ) > $o)).
% 0.20/0.39  tff(in_environment_type, type, (
% 0.20/0.39     in_environment: ( $i * $i ) > $o)).
% 0.20/0.39  tff(1,assumption,(~greater(zero, growth_rate(first_movers, sk2))), introduced(assumption)).
% 0.20/0.39  tff(2,assumption,(~greater(growth_rate(first_movers, sk2), zero)), introduced(assumption)).
% 0.20/0.39  tff(3,plain,
% 0.20/0.39      (greater_or_equal(sk2, equilibrium(sk1)) <=> greater_or_equal(sk2, equilibrium(sk1))),
% 0.20/0.39      inference(rewrite,[status(thm)],[])).
% 0.20/0.39  tff(4,axiom,(greater_or_equal(sk2, equilibrium(sk1))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_l6_41')).
% 0.20/0.39  tff(5,plain,
% 0.20/0.39      (greater_or_equal(sk2, equilibrium(sk1))),
% 0.20/0.39      inference(modus_ponens,[status(thm)],[4, 3])).
% 0.20/0.39  tff(6,plain,
% 0.20/0.39      (environment(sk1) <=> environment(sk1)),
% 0.20/0.39      inference(rewrite,[status(thm)],[])).
% 0.20/0.39  tff(7,axiom,(environment(sk1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_l6_39')).
% 0.20/0.39  tff(8,plain,
% 0.20/0.39      (environment(sk1)),
% 0.20/0.39      inference(modus_ponens,[status(thm)],[7, 6])).
% 0.20/0.39  tff(9,plain,
% 0.20/0.39      (^[B: $i, A: $i] : refl(((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A)))) <=> ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A)))))),
% 0.20/0.39      inference(bind,[status(th)],[])).
% 0.20/0.39  tff(10,plain,
% 0.20/0.39      (![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A)))) <=> ![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))),
% 0.20/0.39      inference(quant_intro,[status(thm)],[9])).
% 0.20/0.39  tff(11,plain,
% 0.20/0.39      (![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A)))) <=> ![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))),
% 0.20/0.39      inference(rewrite,[status(thm)],[])).
% 0.20/0.39  tff(12,plain,
% 0.20/0.39      (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~greater_or_equal(B, equilibrium(A)))) | (~greater(equilibrium(A), B))) <=> ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A)))))),
% 0.20/0.39      inference(bind,[status(th)],[])).
% 0.20/0.39  tff(13,plain,
% 0.20/0.39      (![B: $i, A: $i] : (((~environment(A)) | (~greater_or_equal(B, equilibrium(A)))) | (~greater(equilibrium(A), B))) <=> ![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))),
% 0.20/0.39      inference(quant_intro,[status(thm)],[12])).
% 0.20/0.39  tff(14,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~greater_or_equal(B, equilibrium(A)))) | (~greater(equilibrium(A), B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_equilibrium_26')).
% 0.20/0.39  tff(15,plain,
% 0.20/0.39      (![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))),
% 0.20/0.39      inference(modus_ponens,[status(thm)],[14, 13])).
% 0.20/0.39  tff(16,plain,
% 0.20/0.39      (![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))),
% 0.20/0.39      inference(modus_ponens,[status(thm)],[15, 11])).
% 0.20/0.39  tff(17,plain,(
% 0.20/0.39      ![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))),
% 0.20/0.39      inference(skolemize,[status(sab)],[16])).
% 0.20/0.39  tff(18,plain,
% 0.20/0.39      (![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))),
% 0.20/0.40      inference(modus_ponens,[status(thm)],[17, 10])).
% 0.20/0.40  tff(19,plain,
% 0.20/0.40      (((~![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))) | ((~environment(sk1)) | (~greater(equilibrium(sk1), sk2)) | (~greater_or_equal(sk2, equilibrium(sk1))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))) | (~environment(sk1)) | (~greater(equilibrium(sk1), sk2)) | (~greater_or_equal(sk2, equilibrium(sk1))))),
% 0.20/0.40      inference(rewrite,[status(thm)],[])).
% 0.20/0.40  tff(20,plain,
% 0.20/0.40      ((~![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))) | ((~environment(sk1)) | (~greater(equilibrium(sk1), sk2)) | (~greater_or_equal(sk2, equilibrium(sk1))))),
% 0.20/0.40      inference(quant_inst,[status(thm)],[])).
% 0.20/0.40  tff(21,plain,
% 0.20/0.40      ((~![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))) | (~environment(sk1)) | (~greater(equilibrium(sk1), sk2)) | (~greater_or_equal(sk2, equilibrium(sk1)))),
% 0.20/0.40      inference(modus_ponens,[status(thm)],[20, 19])).
% 0.20/0.40  tff(22,plain,
% 0.20/0.40      (~greater(equilibrium(sk1), sk2)),
% 0.20/0.40      inference(unit_resolution,[status(thm)],[21, 18, 8, 5])).
% 0.20/0.40  tff(23,plain,
% 0.20/0.40      (subpopulations(first_movers, efficient_producers, sk1, sk2) <=> subpopulations(first_movers, efficient_producers, sk1, sk2)),
% 0.20/0.40      inference(rewrite,[status(thm)],[])).
% 0.20/0.40  tff(24,axiom,(subpopulations(first_movers, efficient_producers, sk1, sk2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_l6_40')).
% 0.20/0.40  tff(25,plain,
% 0.20/0.40      (subpopulations(first_movers, efficient_producers, sk1, sk2)),
% 0.20/0.40      inference(modus_ponens,[status(thm)],[24, 23])).
% 0.20/0.40  tff(26,plain,
% 0.20/0.40      (^[B: $i, A: $i] : refl(((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero)))),
% 0.20/0.40      inference(bind,[status(th)],[])).
% 0.20/0.40  tff(27,plain,
% 0.20/0.40      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))),
% 0.20/0.40      inference(quant_intro,[status(thm)],[26])).
% 0.20/0.40  tff(28,plain,
% 0.20/0.40      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))),
% 0.20/0.40      inference(rewrite,[status(thm)],[])).
% 0.20/0.40  tff(29,plain,
% 0.20/0.40      (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | greater(number_of_organizations(A, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero)))),
% 0.20/0.40      inference(bind,[status(th)],[])).
% 0.20/0.40  tff(30,plain,
% 0.20/0.40      (![B: $i, A: $i] : (((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | greater(number_of_organizations(A, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))),
% 0.20/0.40      inference(quant_intro,[status(thm)],[29])).
% 0.20/0.40  tff(31,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | greater(number_of_organizations(A, B), zero))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_positive_number_of_organizations_25')).
% 0.20/0.40  tff(32,plain,
% 0.20/0.40      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))),
% 0.20/0.40      inference(modus_ponens,[status(thm)],[31, 30])).
% 0.20/0.40  tff(33,plain,
% 0.20/0.40      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))),
% 0.20/0.40      inference(modus_ponens,[status(thm)],[32, 28])).
% 0.20/0.40  tff(34,plain,(
% 0.20/0.40      ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))),
% 0.20/0.40      inference(skolemize,[status(sab)],[33])).
% 0.20/0.40  tff(35,plain,
% 0.20/0.40      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))),
% 0.20/0.40      inference(modus_ponens,[status(thm)],[34, 27])).
% 0.20/0.40  tff(36,plain,
% 0.20/0.40      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(number_of_organizations(sk1, sk2), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(number_of_organizations(sk1, sk2), zero))),
% 0.20/0.40      inference(rewrite,[status(thm)],[])).
% 0.20/0.40  tff(37,plain,
% 0.20/0.40      ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(number_of_organizations(sk1, sk2), zero))),
% 0.20/0.40      inference(quant_inst,[status(thm)],[])).
% 0.20/0.40  tff(38,plain,
% 0.20/0.40      ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(number_of_organizations(sk1, sk2), zero)),
% 0.20/0.40      inference(modus_ponens,[status(thm)],[37, 36])).
% 0.20/0.40  tff(39,plain,
% 0.20/0.40      (greater(number_of_organizations(sk1, sk2), zero)),
% 0.20/0.40      inference(unit_resolution,[status(thm)],[38, 35, 8, 25])).
% 0.20/0.40  tff(40,plain,
% 0.20/0.40      (^[B: $i, A: $i] : refl((in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A))) <=> (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A))))),
% 0.20/0.40      inference(bind,[status(th)],[])).
% 0.20/0.40  tff(41,plain,
% 0.20/0.40      (![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A))) <=> ![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))),
% 0.20/0.40      inference(quant_intro,[status(thm)],[40])).
% 0.20/0.40  tff(42,plain,
% 0.20/0.40      (![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A))) <=> ![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))),
% 0.20/0.40      inference(rewrite,[status(thm)],[])).
% 0.20/0.40  tff(43,plain,
% 0.20/0.40      (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | in_environment(A, B)) <=> (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A))))),
% 0.20/0.40      inference(bind,[status(th)],[])).
% 0.20/0.40  tff(44,plain,
% 0.20/0.40      (![B: $i, A: $i] : (((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | in_environment(A, B)) <=> ![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))),
% 0.20/0.40      inference(quant_intro,[status(thm)],[43])).
% 0.20/0.40  tff(45,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | in_environment(A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_time_point_occur_24')).
% 0.20/0.40  tff(46,plain,
% 0.20/0.40      (![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))),
% 0.20/0.40      inference(modus_ponens,[status(thm)],[45, 44])).
% 0.20/0.40  tff(47,plain,
% 0.20/0.40      (![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))),
% 0.20/0.40      inference(modus_ponens,[status(thm)],[46, 42])).
% 0.20/0.40  tff(48,plain,(
% 0.20/0.40      ![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))),
% 0.20/0.40      inference(skolemize,[status(sab)],[47])).
% 0.20/0.40  tff(49,plain,
% 0.20/0.40      (![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))),
% 0.20/0.40      inference(modus_ponens,[status(thm)],[48, 41])).
% 0.20/0.40  tff(50,plain,
% 0.20/0.40      (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | in_environment(sk1, sk2))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | in_environment(sk1, sk2))),
% 0.20/0.40      inference(rewrite,[status(thm)],[])).
% 0.20/0.40  tff(51,plain,
% 0.20/0.40      ((in_environment(sk1, sk2) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1))) <=> ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | in_environment(sk1, sk2))),
% 0.20/0.40      inference(rewrite,[status(thm)],[])).
% 0.20/0.40  tff(52,plain,
% 0.20/0.40      (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk1, sk2) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | in_environment(sk1, sk2)))),
% 0.20/0.40      inference(monotonicity,[status(thm)],[51])).
% 0.20/0.40  tff(53,plain,
% 0.20/0.40      (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk1, sk2) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | in_environment(sk1, sk2))),
% 0.20/0.40      inference(transitivity,[status(thm)],[52, 50])).
% 0.20/0.40  tff(54,plain,
% 0.20/0.40      ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk1, sk2) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)))),
% 0.20/0.40      inference(quant_inst,[status(thm)],[])).
% 0.20/0.40  tff(55,plain,
% 0.20/0.40      ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | in_environment(sk1, sk2)),
% 0.20/0.40      inference(modus_ponens,[status(thm)],[54, 53])).
% 0.20/0.40  tff(56,plain,
% 0.20/0.40      (in_environment(sk1, sk2)),
% 0.20/0.40      inference(unit_resolution,[status(thm)],[55, 49, 8, 25])).
% 0.20/0.40  tff(57,plain,
% 0.20/0.40      (^[B: $i, A: $i] : refl(((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B))) <=> ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B))))),
% 0.20/0.40      inference(bind,[status(th)],[])).
% 0.20/0.40  tff(58,plain,
% 0.20/0.40      (![B: $i, A: $i] : ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B))) <=> ![B: $i, A: $i] : ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))),
% 0.20/0.40      inference(quant_intro,[status(thm)],[57])).
% 0.20/0.40  tff(59,plain,
% 0.20/0.40      (![B: $i, A: $i] : ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B))) <=> ![B: $i, A: $i] : ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))),
% 0.20/0.40      inference(rewrite,[status(thm)],[])).
% 0.20/0.40  tff(60,plain,
% 0.20/0.40      (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) <=> ((~environment(A)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))), (((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)) <=> (((~environment(A)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B))) | greater(equilibrium(A), B)))), rewrite((((~environment(A)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B))) | greater(equilibrium(A), B)) <=> ((~environment(A)) | greater(equilibrium(A), B) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))), (((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)) <=> ((~environment(A)) | greater(equilibrium(A), B) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B))))), ((((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)) | constant(resources(A, B))) <=> (((~environment(A)) | greater(equilibrium(A), B) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B))) | constant(resources(A, B))))), rewrite((((~environment(A)) | greater(equilibrium(A), B) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B))) | constant(resources(A, B))) <=> ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))), ((((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)) | constant(resources(A, B))) <=> ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))))),
% 0.20/0.40      inference(bind,[status(th)],[])).
% 0.20/0.40  tff(61,plain,
% 0.20/0.40      (![B: $i, A: $i] : (((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)) | constant(resources(A, B))) <=> ![B: $i, A: $i] : ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))),
% 0.20/0.40      inference(quant_intro,[status(thm)],[60])).
% 0.20/0.40  tff(62,axiom,(![B: $i, A: $i] : (((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)) | constant(resources(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a3_28')).
% 0.20/0.40  tff(63,plain,
% 0.20/0.40      (![B: $i, A: $i] : ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))),
% 0.20/0.40      inference(modus_ponens,[status(thm)],[62, 61])).
% 0.20/0.40  tff(64,plain,
% 0.20/0.40      (![B: $i, A: $i] : ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))),
% 0.20/0.40      inference(modus_ponens,[status(thm)],[63, 59])).
% 0.20/0.40  tff(65,plain,(
% 0.20/0.40      ![B: $i, A: $i] : ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))),
% 0.20/0.40      inference(skolemize,[status(sab)],[64])).
% 0.20/0.40  tff(66,plain,
% 0.20/0.40      (![B: $i, A: $i] : ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))),
% 0.20/0.40      inference(modus_ponens,[status(thm)],[65, 58])).
% 0.20/0.40  tff(67,plain,
% 0.20/0.41      (((~![B: $i, A: $i] : ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))) | ((~environment(sk1)) | greater(equilibrium(sk1), sk2) | (~in_environment(sk1, sk2)) | constant(resources(sk1, sk2)) | (~greater(number_of_organizations(sk1, sk2), zero)))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))) | (~environment(sk1)) | greater(equilibrium(sk1), sk2) | (~in_environment(sk1, sk2)) | constant(resources(sk1, sk2)) | (~greater(number_of_organizations(sk1, sk2), zero)))),
% 0.20/0.41      inference(rewrite,[status(thm)],[])).
% 0.20/0.41  tff(68,plain,
% 0.20/0.41      (((~environment(sk1)) | greater(equilibrium(sk1), sk2) | constant(resources(sk1, sk2)) | (~greater(number_of_organizations(sk1, sk2), zero)) | (~in_environment(sk1, sk2))) <=> ((~environment(sk1)) | greater(equilibrium(sk1), sk2) | (~in_environment(sk1, sk2)) | constant(resources(sk1, sk2)) | (~greater(number_of_organizations(sk1, sk2), zero)))),
% 0.20/0.41      inference(rewrite,[status(thm)],[])).
% 0.20/0.41  tff(69,plain,
% 0.20/0.41      (((~![B: $i, A: $i] : ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))) | ((~environment(sk1)) | greater(equilibrium(sk1), sk2) | constant(resources(sk1, sk2)) | (~greater(number_of_organizations(sk1, sk2), zero)) | (~in_environment(sk1, sk2)))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))) | ((~environment(sk1)) | greater(equilibrium(sk1), sk2) | (~in_environment(sk1, sk2)) | constant(resources(sk1, sk2)) | (~greater(number_of_organizations(sk1, sk2), zero))))),
% 0.20/0.41      inference(monotonicity,[status(thm)],[68])).
% 0.20/0.41  tff(70,plain,
% 0.20/0.41      (((~![B: $i, A: $i] : ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))) | ((~environment(sk1)) | greater(equilibrium(sk1), sk2) | constant(resources(sk1, sk2)) | (~greater(number_of_organizations(sk1, sk2), zero)) | (~in_environment(sk1, sk2)))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))) | (~environment(sk1)) | greater(equilibrium(sk1), sk2) | (~in_environment(sk1, sk2)) | constant(resources(sk1, sk2)) | (~greater(number_of_organizations(sk1, sk2), zero)))),
% 0.20/0.41      inference(transitivity,[status(thm)],[69, 67])).
% 0.20/0.41  tff(71,plain,
% 0.20/0.41      ((~![B: $i, A: $i] : ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))) | ((~environment(sk1)) | greater(equilibrium(sk1), sk2) | constant(resources(sk1, sk2)) | (~greater(number_of_organizations(sk1, sk2), zero)) | (~in_environment(sk1, sk2)))),
% 0.20/0.41      inference(quant_inst,[status(thm)],[])).
% 0.20/0.41  tff(72,plain,
% 0.20/0.41      ((~![B: $i, A: $i] : ((~environment(A)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)) | (~in_environment(A, B)))) | (~environment(sk1)) | greater(equilibrium(sk1), sk2) | (~in_environment(sk1, sk2)) | constant(resources(sk1, sk2)) | (~greater(number_of_organizations(sk1, sk2), zero))),
% 0.20/0.41      inference(modus_ponens,[status(thm)],[71, 70])).
% 0.20/0.41  tff(73,plain,
% 0.20/0.41      (constant(resources(sk1, sk2))),
% 0.20/0.41      inference(unit_resolution,[status(thm)],[72, 66, 8, 56, 39, 22])).
% 0.20/0.41  tff(74,plain,
% 0.20/0.41      (^[B: $i, A: $i] : refl((constant(number_of_organizations(A, B)) | (~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B)))) <=> (constant(number_of_organizations(A, B)) | (~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B)))))),
% 0.20/0.41      inference(bind,[status(th)],[])).
% 0.20/0.41  tff(75,plain,
% 0.20/0.41      (![B: $i, A: $i] : (constant(number_of_organizations(A, B)) | (~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B)))) <=> ![B: $i, A: $i] : (constant(number_of_organizations(A, B)) | (~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B))))),
% 0.20/0.41      inference(quant_intro,[status(thm)],[74])).
% 0.20/0.41  tff(76,plain,
% 0.20/0.41      (![B: $i, A: $i] : (constant(number_of_organizations(A, B)) | (~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B)))) <=> ![B: $i, A: $i] : (constant(number_of_organizations(A, B)) | (~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B))))),
% 0.20/0.41      inference(rewrite,[status(thm)],[])).
% 0.20/0.41  tff(77,plain,
% 0.20/0.41      (^[B: $i, A: $i] : trans(monotonicity(rewrite((((~environment(A)) | (~in_environment(A, B))) | (~constant(resources(A, B)))) <=> ((~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B))))), (((((~environment(A)) | (~in_environment(A, B))) | (~constant(resources(A, B)))) | constant(number_of_organizations(A, B))) <=> (((~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B)))) | constant(number_of_organizations(A, B))))), rewrite((((~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B)))) | constant(number_of_organizations(A, B))) <=> (constant(number_of_organizations(A, B)) | (~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B))))), (((((~environment(A)) | (~in_environment(A, B))) | (~constant(resources(A, B)))) | constant(number_of_organizations(A, B))) <=> (constant(number_of_organizations(A, B)) | (~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B))))))),
% 0.20/0.41      inference(bind,[status(th)],[])).
% 0.20/0.41  tff(78,plain,
% 0.20/0.41      (![B: $i, A: $i] : ((((~environment(A)) | (~in_environment(A, B))) | (~constant(resources(A, B)))) | constant(number_of_organizations(A, B))) <=> ![B: $i, A: $i] : (constant(number_of_organizations(A, B)) | (~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B))))),
% 0.20/0.41      inference(quant_intro,[status(thm)],[77])).
% 0.20/0.41  tff(79,axiom,(![B: $i, A: $i] : ((((~environment(A)) | (~in_environment(A, B))) | (~constant(resources(A, B)))) | constant(number_of_organizations(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a6_30')).
% 0.20/0.41  tff(80,plain,
% 0.20/0.41      (![B: $i, A: $i] : (constant(number_of_organizations(A, B)) | (~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B))))),
% 0.20/0.41      inference(modus_ponens,[status(thm)],[79, 78])).
% 0.20/0.41  tff(81,plain,
% 0.20/0.41      (![B: $i, A: $i] : (constant(number_of_organizations(A, B)) | (~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B))))),
% 0.20/0.41      inference(modus_ponens,[status(thm)],[80, 76])).
% 0.20/0.41  tff(82,plain,(
% 0.20/0.41      ![B: $i, A: $i] : (constant(number_of_organizations(A, B)) | (~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B))))),
% 0.20/0.41      inference(skolemize,[status(sab)],[81])).
% 0.20/0.41  tff(83,plain,
% 0.20/0.41      (![B: $i, A: $i] : (constant(number_of_organizations(A, B)) | (~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B))))),
% 0.20/0.41      inference(modus_ponens,[status(thm)],[82, 75])).
% 0.20/0.41  tff(84,plain,
% 0.20/0.41      (((~![B: $i, A: $i] : (constant(number_of_organizations(A, B)) | (~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B))))) | (constant(number_of_organizations(sk1, sk2)) | (~environment(sk1)) | (~in_environment(sk1, sk2)) | (~constant(resources(sk1, sk2))))) <=> ((~![B: $i, A: $i] : (constant(number_of_organizations(A, B)) | (~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B))))) | constant(number_of_organizations(sk1, sk2)) | (~environment(sk1)) | (~in_environment(sk1, sk2)) | (~constant(resources(sk1, sk2))))),
% 0.20/0.41      inference(rewrite,[status(thm)],[])).
% 0.20/0.41  tff(85,plain,
% 0.20/0.41      ((~![B: $i, A: $i] : (constant(number_of_organizations(A, B)) | (~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B))))) | (constant(number_of_organizations(sk1, sk2)) | (~environment(sk1)) | (~in_environment(sk1, sk2)) | (~constant(resources(sk1, sk2))))),
% 0.20/0.41      inference(quant_inst,[status(thm)],[])).
% 0.20/0.41  tff(86,plain,
% 0.20/0.41      ((~![B: $i, A: $i] : (constant(number_of_organizations(A, B)) | (~environment(A)) | (~in_environment(A, B)) | (~constant(resources(A, B))))) | constant(number_of_organizations(sk1, sk2)) | (~environment(sk1)) | (~in_environment(sk1, sk2)) | (~constant(resources(sk1, sk2)))),
% 0.20/0.41      inference(modus_ponens,[status(thm)],[85, 84])).
% 0.20/0.41  tff(87,plain,
% 0.20/0.41      (constant(number_of_organizations(sk1, sk2)) | (~constant(resources(sk1, sk2)))),
% 0.20/0.41      inference(unit_resolution,[status(thm)],[86, 83, 8, 56])).
% 0.20/0.41  tff(88,plain,
% 0.20/0.41      (constant(number_of_organizations(sk1, sk2))),
% 0.20/0.41      inference(unit_resolution,[status(thm)],[87, 73])).
% 0.20/0.41  tff(89,plain,
% 0.20/0.41      (^[B: $i, A: $i] : refl(((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)))),
% 0.20/0.41      inference(bind,[status(th)],[])).
% 0.20/0.41  tff(90,plain,
% 0.20/0.41      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.41      inference(quant_intro,[status(thm)],[89])).
% 0.20/0.41  tff(91,plain,
% 0.20/0.41      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.41      inference(rewrite,[status(thm)],[])).
% 0.20/0.41  tff(92,plain,
% 0.20/0.41      (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))))), (((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))), (((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)))), ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(first_movers, B), zero)))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))), ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)))), (((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) | greater(zero, growth_rate(first_movers, B))) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(first_movers, B))))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(first_movers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))), (((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) | greater(zero, growth_rate(first_movers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))))),
% 0.20/0.41      inference(bind,[status(th)],[])).
% 0.20/0.41  tff(93,plain,
% 0.20/0.41      (![B: $i, A: $i] : ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) | greater(zero, growth_rate(first_movers, B))) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.41      inference(quant_intro,[status(thm)],[92])).
% 0.20/0.41  tff(94,axiom,(![B: $i, A: $i] : ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) | greater(zero, growth_rate(first_movers, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','l7_36')).
% 0.20/0.41  tff(95,plain,
% 0.20/0.41      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.42      inference(modus_ponens,[status(thm)],[94, 93])).
% 0.20/0.42  tff(96,plain,
% 0.20/0.42      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.42      inference(modus_ponens,[status(thm)],[95, 91])).
% 0.20/0.42  tff(97,plain,(
% 0.20/0.42      ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.42      inference(skolemize,[status(sab)],[96])).
% 0.20/0.42  tff(98,plain,
% 0.20/0.42      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.42      inference(modus_ponens,[status(thm)],[97, 90])).
% 0.20/0.42  tff(99,plain,
% 0.20/0.42      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))) | ((growth_rate(efficient_producers, sk2) = zero) | greater(growth_rate(first_movers, sk2), zero) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))) | (growth_rate(efficient_producers, sk2) = zero) | greater(growth_rate(first_movers, sk2), zero) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.42      inference(rewrite,[status(thm)],[])).
% 0.20/0.42  tff(100,plain,
% 0.20/0.42      (((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(zero, growth_rate(first_movers, sk2)) | greater(growth_rate(first_movers, sk2), zero) | (~constant(number_of_organizations(sk1, sk2))) | (growth_rate(efficient_producers, sk2) = zero)) <=> ((growth_rate(efficient_producers, sk2) = zero) | greater(growth_rate(first_movers, sk2), zero) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.42      inference(rewrite,[status(thm)],[])).
% 0.20/0.42  tff(101,plain,
% 0.20/0.42      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(zero, growth_rate(first_movers, sk2)) | greater(growth_rate(first_movers, sk2), zero) | (~constant(number_of_organizations(sk1, sk2))) | (growth_rate(efficient_producers, sk2) = zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))) | ((growth_rate(efficient_producers, sk2) = zero) | greater(growth_rate(first_movers, sk2), zero) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2)))))),
% 0.20/0.42      inference(monotonicity,[status(thm)],[100])).
% 0.20/0.42  tff(102,plain,
% 0.20/0.42      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(zero, growth_rate(first_movers, sk2)) | greater(growth_rate(first_movers, sk2), zero) | (~constant(number_of_organizations(sk1, sk2))) | (growth_rate(efficient_producers, sk2) = zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))) | (growth_rate(efficient_producers, sk2) = zero) | greater(growth_rate(first_movers, sk2), zero) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.42      inference(transitivity,[status(thm)],[101, 99])).
% 0.20/0.42  tff(103,plain,
% 0.20/0.42      ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(zero, growth_rate(first_movers, sk2)) | greater(growth_rate(first_movers, sk2), zero) | (~constant(number_of_organizations(sk1, sk2))) | (growth_rate(efficient_producers, sk2) = zero))),
% 0.20/0.42      inference(quant_inst,[status(thm)],[])).
% 0.20/0.42  tff(104,plain,
% 0.20/0.42      ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))) | (growth_rate(efficient_producers, sk2) = zero) | greater(growth_rate(first_movers, sk2), zero) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2)))),
% 0.20/0.42      inference(modus_ponens,[status(thm)],[103, 102])).
% 0.20/0.42  tff(105,plain,
% 0.20/0.42      ((growth_rate(efficient_producers, sk2) = zero) | greater(growth_rate(first_movers, sk2), zero) | greater(zero, growth_rate(first_movers, sk2)) | (~constant(number_of_organizations(sk1, sk2)))),
% 0.20/0.42      inference(unit_resolution,[status(thm)],[104, 98, 8, 25])).
% 0.20/0.42  tff(106,plain,
% 0.20/0.42      ((growth_rate(efficient_producers, sk2) = zero) | greater(growth_rate(first_movers, sk2), zero) | greater(zero, growth_rate(first_movers, sk2))),
% 0.20/0.42      inference(unit_resolution,[status(thm)],[105, 88])).
% 0.20/0.42  tff(107,plain,
% 0.20/0.42      (growth_rate(efficient_producers, sk2) = zero),
% 0.20/0.42      inference(unit_resolution,[status(thm)],[106, 2, 1])).
% 0.20/0.42  tff(108,plain,
% 0.20/0.42      (^[B: $i, A: $i] : refl(((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))))),
% 0.20/0.42      inference(bind,[status(th)],[])).
% 0.20/0.42  tff(109,plain,
% 0.20/0.42      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))),
% 0.20/0.42      inference(quant_intro,[status(thm)],[108])).
% 0.20/0.42  tff(110,plain,
% 0.20/0.42      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))),
% 0.20/0.42      inference(rewrite,[status(thm)],[])).
% 0.20/0.42  tff(111,plain,
% 0.20/0.42      (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))))), (((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))), (((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))))), ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))) | greater(growth_rate(first_movers, B), zero)))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))) | greater(growth_rate(first_movers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))), ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))))), (((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) | greater(zero, growth_rate(first_movers, B))) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))) | greater(zero, growth_rate(first_movers, B))))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))) | greater(zero, growth_rate(first_movers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))), (((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) | greater(zero, growth_rate(first_movers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))))),
% 0.20/0.43      inference(bind,[status(th)],[])).
% 0.20/0.43  tff(112,plain,
% 0.20/0.43      (![B: $i, A: $i] : ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) | greater(zero, growth_rate(first_movers, B))) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))),
% 0.20/0.43      inference(quant_intro,[status(thm)],[111])).
% 0.20/0.43  tff(113,axiom,(![B: $i, A: $i] : ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) | greater(zero, growth_rate(first_movers, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','l7_32')).
% 0.20/0.43  tff(114,plain,
% 0.20/0.43      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))),
% 0.20/0.43      inference(modus_ponens,[status(thm)],[113, 112])).
% 0.20/0.43  tff(115,plain,
% 0.20/0.43      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))),
% 0.20/0.43      inference(modus_ponens,[status(thm)],[114, 110])).
% 0.20/0.43  tff(116,plain,(
% 0.20/0.43      ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))),
% 0.20/0.43      inference(skolemize,[status(sab)],[115])).
% 0.20/0.43  tff(117,plain,
% 0.20/0.43      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))),
% 0.20/0.43      inference(modus_ponens,[status(thm)],[116, 109])).
% 0.20/0.43  tff(118,plain,
% 0.20/0.43      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))) | (greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))) | greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.43      inference(rewrite,[status(thm)],[])).
% 0.20/0.43  tff(119,plain,
% 0.20/0.43      (((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(zero, growth_rate(first_movers, sk2)) | greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | (~constant(number_of_organizations(sk1, sk2)))) <=> (greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.43      inference(rewrite,[status(thm)],[])).
% 0.20/0.43  tff(120,plain,
% 0.20/0.43      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(zero, growth_rate(first_movers, sk2)) | greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | (~constant(number_of_organizations(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))) | (greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2)))))),
% 0.20/0.43      inference(monotonicity,[status(thm)],[119])).
% 0.20/0.43  tff(121,plain,
% 0.20/0.43      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(zero, growth_rate(first_movers, sk2)) | greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | (~constant(number_of_organizations(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))) | greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.43      inference(transitivity,[status(thm)],[120, 118])).
% 0.20/0.43  tff(122,plain,
% 0.20/0.43      ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(zero, growth_rate(first_movers, sk2)) | greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.43      inference(quant_inst,[status(thm)],[])).
% 0.20/0.43  tff(123,plain,
% 0.20/0.43      ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))) | greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2)))),
% 0.20/0.43      inference(modus_ponens,[status(thm)],[122, 121])).
% 0.20/0.43  tff(124,plain,
% 0.20/0.43      (greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(first_movers, sk2)) | (~constant(number_of_organizations(sk1, sk2)))),
% 0.20/0.43      inference(unit_resolution,[status(thm)],[123, 117, 8, 25])).
% 0.20/0.43  tff(125,plain,
% 0.20/0.43      (greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(first_movers, sk2))),
% 0.20/0.43      inference(unit_resolution,[status(thm)],[124, 88])).
% 0.20/0.43  tff(126,plain,
% 0.20/0.43      (growth_rate(first_movers, sk2) = zero),
% 0.20/0.43      inference(unit_resolution,[status(thm)],[125, 2, 1])).
% 0.20/0.43  tff(127,plain,
% 0.20/0.43      (((~(growth_rate(first_movers, sk2) = zero)) | (~(growth_rate(efficient_producers, sk2) = zero))) <=> ((~(growth_rate(first_movers, sk2) = zero)) | (~(growth_rate(efficient_producers, sk2) = zero)))),
% 0.20/0.43      inference(rewrite,[status(thm)],[])).
% 0.20/0.43  tff(128,axiom,((~(growth_rate(first_movers, sk2) = zero)) | (~(growth_rate(efficient_producers, sk2) = zero))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_l6_42')).
% 0.20/0.43  tff(129,plain,
% 0.20/0.43      ((~(growth_rate(first_movers, sk2) = zero)) | (~(growth_rate(efficient_producers, sk2) = zero))),
% 0.20/0.43      inference(modus_ponens,[status(thm)],[128, 127])).
% 0.20/0.43  tff(130,plain,
% 0.20/0.43      ((~(growth_rate(first_movers, sk2) = zero)) | (~(growth_rate(efficient_producers, sk2) = zero))),
% 0.20/0.43      inference(modus_ponens,[status(thm)],[129, 127])).
% 0.20/0.43  tff(131,plain,
% 0.20/0.43      ((~(growth_rate(first_movers, sk2) = zero)) | (~(growth_rate(efficient_producers, sk2) = zero))),
% 0.20/0.43      inference(modus_ponens,[status(thm)],[130, 127])).
% 0.20/0.43  tff(132,plain,
% 0.20/0.43      ((~(growth_rate(first_movers, sk2) = zero)) | (~(growth_rate(efficient_producers, sk2) = zero))),
% 0.20/0.43      inference(modus_ponens,[status(thm)],[131, 127])).
% 0.20/0.43  tff(133,plain,
% 0.20/0.43      ((~(growth_rate(first_movers, sk2) = zero)) | (~(growth_rate(efficient_producers, sk2) = zero))),
% 0.20/0.43      inference(modus_ponens,[status(thm)],[132, 127])).
% 0.20/0.43  tff(134,plain,
% 0.20/0.43      ((~(growth_rate(first_movers, sk2) = zero)) | (~(growth_rate(efficient_producers, sk2) = zero))),
% 0.20/0.43      inference(modus_ponens,[status(thm)],[133, 127])).
% 0.20/0.43  tff(135,plain,
% 0.20/0.43      ((~(growth_rate(first_movers, sk2) = zero)) | (~(growth_rate(efficient_producers, sk2) = zero))),
% 0.20/0.43      inference(modus_ponens,[status(thm)],[134, 127])).
% 0.20/0.43  tff(136,plain,
% 0.20/0.43      ((~(growth_rate(first_movers, sk2) = zero)) | (~(growth_rate(efficient_producers, sk2) = zero))),
% 0.20/0.43      inference(modus_ponens,[status(thm)],[135, 127])).
% 0.20/0.43  tff(137,plain,
% 0.20/0.43      ($false),
% 0.20/0.43      inference(unit_resolution,[status(thm)],[136, 126, 107])).
% 0.20/0.43  tff(138,plain,(greater(growth_rate(first_movers, sk2), zero) | greater(zero, growth_rate(first_movers, sk2))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.43  tff(139,plain,
% 0.20/0.43      (greater(growth_rate(first_movers, sk2), zero)),
% 0.20/0.43      inference(unit_resolution,[status(thm)],[138, 1])).
% 0.20/0.43  tff(140,plain,
% 0.20/0.43      (((~greater(zero, growth_rate(efficient_producers, sk2))) | (~greater(growth_rate(first_movers, sk2), zero))) <=> ((~greater(zero, growth_rate(efficient_producers, sk2))) | (~greater(growth_rate(first_movers, sk2), zero)))),
% 0.20/0.43      inference(rewrite,[status(thm)],[])).
% 0.20/0.43  tff(141,plain,
% 0.20/0.43      (((~greater(growth_rate(first_movers, sk2), zero)) | (~greater(zero, growth_rate(efficient_producers, sk2)))) <=> ((~greater(zero, growth_rate(efficient_producers, sk2))) | (~greater(growth_rate(first_movers, sk2), zero)))),
% 0.20/0.44      inference(rewrite,[status(thm)],[])).
% 0.20/0.44  tff(142,axiom,((~greater(growth_rate(first_movers, sk2), zero)) | (~greater(zero, growth_rate(efficient_producers, sk2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_l6_43')).
% 0.20/0.44  tff(143,plain,
% 0.20/0.44      ((~greater(zero, growth_rate(efficient_producers, sk2))) | (~greater(growth_rate(first_movers, sk2), zero))),
% 0.20/0.44      inference(modus_ponens,[status(thm)],[142, 141])).
% 0.20/0.44  tff(144,plain,
% 0.20/0.44      ((~greater(zero, growth_rate(efficient_producers, sk2))) | (~greater(growth_rate(first_movers, sk2), zero))),
% 0.20/0.44      inference(modus_ponens,[status(thm)],[143, 140])).
% 0.20/0.44  tff(145,plain,
% 0.20/0.44      (~greater(zero, growth_rate(efficient_producers, sk2))),
% 0.20/0.44      inference(unit_resolution,[status(thm)],[144, 139])).
% 0.20/0.44  tff(146,plain,
% 0.20/0.44      (^[B: $i, A: $i] : refl(((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero)))),
% 0.20/0.44      inference(bind,[status(th)],[])).
% 0.20/0.44  tff(147,plain,
% 0.20/0.44      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.44      inference(quant_intro,[status(thm)],[146])).
% 0.20/0.44  tff(148,plain,
% 0.20/0.44      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.44      inference(rewrite,[status(thm)],[])).
% 0.20/0.44  tff(149,plain,
% 0.20/0.44      (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))))), (((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))), (((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)))), ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))), ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero)))), (((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) | greater(zero, growth_rate(first_movers, B))) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(first_movers, B))))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(first_movers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))), (((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) | greater(zero, growth_rate(first_movers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))))),
% 0.20/0.44      inference(bind,[status(th)],[])).
% 0.20/0.44  tff(150,plain,
% 0.20/0.44      (![B: $i, A: $i] : ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) | greater(zero, growth_rate(first_movers, B))) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.44      inference(quant_intro,[status(thm)],[149])).
% 0.20/0.44  tff(151,axiom,(![B: $i, A: $i] : ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) | greater(zero, growth_rate(first_movers, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','l7_38')).
% 0.20/0.44  tff(152,plain,
% 0.20/0.44      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.44      inference(modus_ponens,[status(thm)],[151, 150])).
% 0.20/0.44  tff(153,plain,
% 0.20/0.44      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.44      inference(modus_ponens,[status(thm)],[152, 148])).
% 0.20/0.44  tff(154,plain,(
% 0.20/0.44      ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.44      inference(skolemize,[status(sab)],[153])).
% 0.20/0.44  tff(155,plain,
% 0.20/0.44      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.44      inference(modus_ponens,[status(thm)],[154, 147])).
% 0.20/0.44  tff(156,plain,
% 0.20/0.44      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))) | ((growth_rate(efficient_producers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))) | (growth_rate(efficient_producers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.44      inference(rewrite,[status(thm)],[])).
% 0.20/0.44  tff(157,plain,
% 0.20/0.44      (((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(zero, growth_rate(first_movers, sk2)) | (~constant(number_of_organizations(sk1, sk2))) | greater(zero, growth_rate(efficient_producers, sk2)) | (growth_rate(efficient_producers, sk2) = zero)) <=> ((growth_rate(efficient_producers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.44      inference(rewrite,[status(thm)],[])).
% 0.20/0.44  tff(158,plain,
% 0.20/0.44      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(zero, growth_rate(first_movers, sk2)) | (~constant(number_of_organizations(sk1, sk2))) | greater(zero, growth_rate(efficient_producers, sk2)) | (growth_rate(efficient_producers, sk2) = zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))) | ((growth_rate(efficient_producers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2)))))),
% 0.20/0.44      inference(monotonicity,[status(thm)],[157])).
% 0.20/0.44  tff(159,plain,
% 0.20/0.44      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(zero, growth_rate(first_movers, sk2)) | (~constant(number_of_organizations(sk1, sk2))) | greater(zero, growth_rate(efficient_producers, sk2)) | (growth_rate(efficient_producers, sk2) = zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))) | (growth_rate(efficient_producers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.44      inference(transitivity,[status(thm)],[158, 156])).
% 0.20/0.44  tff(160,plain,
% 0.20/0.44      ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(zero, growth_rate(first_movers, sk2)) | (~constant(number_of_organizations(sk1, sk2))) | greater(zero, growth_rate(efficient_producers, sk2)) | (growth_rate(efficient_producers, sk2) = zero))),
% 0.20/0.44      inference(quant_inst,[status(thm)],[])).
% 0.20/0.44  tff(161,plain,
% 0.20/0.44      ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))) | (growth_rate(efficient_producers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2)))),
% 0.20/0.44      inference(modus_ponens,[status(thm)],[160, 159])).
% 0.20/0.44  tff(162,plain,
% 0.20/0.44      ((growth_rate(efficient_producers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(zero, growth_rate(first_movers, sk2)) | (~constant(number_of_organizations(sk1, sk2)))),
% 0.20/0.44      inference(unit_resolution,[status(thm)],[161, 155, 8, 25])).
% 0.20/0.44  tff(163,plain,
% 0.20/0.44      ((growth_rate(efficient_producers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(zero, growth_rate(first_movers, sk2))),
% 0.20/0.44      inference(unit_resolution,[status(thm)],[162, 88])).
% 0.20/0.44  tff(164,plain,
% 0.20/0.44      (growth_rate(efficient_producers, sk2) = zero),
% 0.20/0.44      inference(unit_resolution,[status(thm)],[163, 145, 1])).
% 0.20/0.44  tff(165,plain,
% 0.20/0.44      (^[B: $i, A: $i] : refl(((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B))))),
% 0.20/0.45      inference(bind,[status(th)],[])).
% 0.20/0.45  tff(166,plain,
% 0.20/0.45      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B))) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))),
% 0.20/0.45      inference(quant_intro,[status(thm)],[165])).
% 0.20/0.45  tff(167,plain,
% 0.20/0.45      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B))) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))),
% 0.20/0.45      inference(rewrite,[status(thm)],[])).
% 0.20/0.45  tff(168,plain,
% 0.20/0.45      (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))))), (((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))), (((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))))), ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))) | greater(zero, growth_rate(efficient_producers, B))))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))) | greater(zero, growth_rate(efficient_producers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))), ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B))))), (((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) | greater(zero, growth_rate(first_movers, B))) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B))) | greater(zero, growth_rate(first_movers, B))))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B))) | greater(zero, growth_rate(first_movers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))), (((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) | greater(zero, growth_rate(first_movers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))))),
% 0.20/0.45      inference(bind,[status(th)],[])).
% 0.20/0.45  tff(169,plain,
% 0.20/0.45      (![B: $i, A: $i] : ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) | greater(zero, growth_rate(first_movers, B))) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))),
% 0.20/0.45      inference(quant_intro,[status(thm)],[168])).
% 0.20/0.45  tff(170,axiom,(![B: $i, A: $i] : ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) | greater(zero, growth_rate(first_movers, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','l7_34')).
% 0.20/0.45  tff(171,plain,
% 0.20/0.45      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[170, 169])).
% 0.20/0.45  tff(172,plain,
% 0.20/0.45      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[171, 167])).
% 0.20/0.45  tff(173,plain,(
% 0.20/0.45      ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))),
% 0.20/0.45      inference(skolemize,[status(sab)],[172])).
% 0.20/0.45  tff(174,plain,
% 0.20/0.45      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[173, 166])).
% 0.20/0.45  tff(175,plain,
% 0.20/0.45      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))) | ((growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))) | (growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.45      inference(rewrite,[status(thm)],[])).
% 0.20/0.45  tff(176,plain,
% 0.20/0.45      (((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(zero, growth_rate(first_movers, sk2)) | (growth_rate(first_movers, sk2) = zero) | (~constant(number_of_organizations(sk1, sk2))) | greater(zero, growth_rate(efficient_producers, sk2))) <=> ((growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.45      inference(rewrite,[status(thm)],[])).
% 0.20/0.45  tff(177,plain,
% 0.20/0.45      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(zero, growth_rate(first_movers, sk2)) | (growth_rate(first_movers, sk2) = zero) | (~constant(number_of_organizations(sk1, sk2))) | greater(zero, growth_rate(efficient_producers, sk2)))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))) | ((growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2)))))),
% 0.20/0.45      inference(monotonicity,[status(thm)],[176])).
% 0.20/0.45  tff(178,plain,
% 0.20/0.45      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(zero, growth_rate(first_movers, sk2)) | (growth_rate(first_movers, sk2) = zero) | (~constant(number_of_organizations(sk1, sk2))) | greater(zero, growth_rate(efficient_producers, sk2)))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))) | (growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.45      inference(transitivity,[status(thm)],[177, 175])).
% 0.20/0.45  tff(179,plain,
% 0.20/0.45      ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(zero, growth_rate(first_movers, sk2)) | (growth_rate(first_movers, sk2) = zero) | (~constant(number_of_organizations(sk1, sk2))) | greater(zero, growth_rate(efficient_producers, sk2)))),
% 0.20/0.45      inference(quant_inst,[status(thm)],[])).
% 0.20/0.45  tff(180,plain,
% 0.20/0.45      ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(zero, growth_rate(first_movers, B)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))) | (growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(zero, growth_rate(first_movers, sk2)) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2)))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[179, 178])).
% 0.20/0.45  tff(181,plain,
% 0.20/0.45      ((growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(zero, growth_rate(first_movers, sk2)) | (~constant(number_of_organizations(sk1, sk2)))),
% 0.20/0.45      inference(unit_resolution,[status(thm)],[180, 174, 8, 25])).
% 0.20/0.45  tff(182,plain,
% 0.20/0.45      ((growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(zero, growth_rate(first_movers, sk2))),
% 0.20/0.45      inference(unit_resolution,[status(thm)],[181, 88])).
% 0.20/0.45  tff(183,plain,
% 0.20/0.45      (growth_rate(first_movers, sk2) = zero),
% 0.20/0.45      inference(unit_resolution,[status(thm)],[182, 145, 1])).
% 0.20/0.45  tff(184,plain,
% 0.20/0.45      ($false),
% 0.20/0.45      inference(unit_resolution,[status(thm)],[136, 183, 164])).
% 0.20/0.45  tff(185,plain,(greater(zero, growth_rate(first_movers, sk2))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.45  tff(186,plain,
% 0.20/0.45      (((~greater(growth_rate(efficient_producers, sk2), zero)) | (~greater(zero, growth_rate(first_movers, sk2)))) <=> ((~greater(growth_rate(efficient_producers, sk2), zero)) | (~greater(zero, growth_rate(first_movers, sk2))))),
% 0.20/0.45      inference(rewrite,[status(thm)],[])).
% 0.20/0.45  tff(187,axiom,((~greater(growth_rate(efficient_producers, sk2), zero)) | (~greater(zero, growth_rate(first_movers, sk2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_l6_44')).
% 0.20/0.45  tff(188,plain,
% 0.20/0.45      ((~greater(growth_rate(efficient_producers, sk2), zero)) | (~greater(zero, growth_rate(first_movers, sk2)))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[187, 186])).
% 0.20/0.45  tff(189,plain,
% 0.20/0.45      ((~greater(growth_rate(efficient_producers, sk2), zero)) | (~greater(zero, growth_rate(first_movers, sk2)))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[188, 186])).
% 0.20/0.45  tff(190,plain,
% 0.20/0.45      ((~greater(growth_rate(efficient_producers, sk2), zero)) | (~greater(zero, growth_rate(first_movers, sk2)))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[189, 186])).
% 0.20/0.45  tff(191,plain,
% 0.20/0.45      ((~greater(growth_rate(efficient_producers, sk2), zero)) | (~greater(zero, growth_rate(first_movers, sk2)))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[190, 186])).
% 0.20/0.45  tff(192,plain,
% 0.20/0.45      ((~greater(growth_rate(efficient_producers, sk2), zero)) | (~greater(zero, growth_rate(first_movers, sk2)))),
% 0.20/0.45      inference(modus_ponens,[status(thm)],[191, 186])).
% 0.20/0.45  tff(193,plain,
% 0.20/0.46      ((~greater(growth_rate(efficient_producers, sk2), zero)) | (~greater(zero, growth_rate(first_movers, sk2)))),
% 0.20/0.46      inference(modus_ponens,[status(thm)],[192, 186])).
% 0.20/0.46  tff(194,plain,
% 0.20/0.46      ((~greater(growth_rate(efficient_producers, sk2), zero)) | (~greater(zero, growth_rate(first_movers, sk2)))),
% 0.20/0.46      inference(modus_ponens,[status(thm)],[193, 186])).
% 0.20/0.46  tff(195,plain,
% 0.20/0.46      ((~greater(growth_rate(efficient_producers, sk2), zero)) | (~greater(zero, growth_rate(first_movers, sk2)))),
% 0.20/0.46      inference(modus_ponens,[status(thm)],[194, 186])).
% 0.20/0.46  tff(196,plain,
% 0.20/0.46      (~greater(growth_rate(efficient_producers, sk2), zero)),
% 0.20/0.46      inference(unit_resolution,[status(thm)],[195, 185])).
% 0.20/0.46  tff(197,assumption,(~(growth_rate(first_movers, sk2) = zero)), introduced(assumption)).
% 0.20/0.46  tff(198,plain,
% 0.20/0.46      (^[B: $i, A: $i] : refl(((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B))))),
% 0.20/0.46      inference(bind,[status(th)],[])).
% 0.20/0.46  tff(199,plain,
% 0.20/0.46      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B))) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))),
% 0.20/0.46      inference(quant_intro,[status(thm)],[198])).
% 0.20/0.46  tff(200,plain,
% 0.20/0.46      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B))) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))),
% 0.20/0.46      inference(rewrite,[status(thm)],[])).
% 0.20/0.46  tff(201,plain,
% 0.20/0.46      (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))))), (((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))), (((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))))), ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))) | greater(zero, growth_rate(efficient_producers, B))))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))) | greater(zero, growth_rate(efficient_producers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))), ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B))))), (((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) | greater(growth_rate(efficient_producers, B), zero)) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B))) | greater(growth_rate(efficient_producers, B), zero)))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B))) | greater(growth_rate(efficient_producers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))), (((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) | greater(growth_rate(efficient_producers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))))),
% 0.20/0.46      inference(bind,[status(th)],[])).
% 0.20/0.46  tff(202,plain,
% 0.20/0.46      (![B: $i, A: $i] : ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) | greater(growth_rate(efficient_producers, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))),
% 0.20/0.46      inference(quant_intro,[status(thm)],[201])).
% 0.20/0.46  tff(203,axiom,(![B: $i, A: $i] : ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) | greater(growth_rate(efficient_producers, B), zero))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','l7_33')).
% 0.20/0.46  tff(204,plain,
% 0.20/0.46      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))),
% 0.20/0.46      inference(modus_ponens,[status(thm)],[203, 202])).
% 0.20/0.46  tff(205,plain,
% 0.20/0.46      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))),
% 0.20/0.46      inference(modus_ponens,[status(thm)],[204, 200])).
% 0.20/0.46  tff(206,plain,(
% 0.20/0.46      ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))),
% 0.20/0.46      inference(skolemize,[status(sab)],[205])).
% 0.20/0.46  tff(207,plain,
% 0.20/0.46      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))),
% 0.20/0.46      inference(modus_ponens,[status(thm)],[206, 199])).
% 0.20/0.46  tff(208,plain,
% 0.20/0.46      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))) | ((growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))) | (growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.46      inference(rewrite,[status(thm)],[])).
% 0.20/0.46  tff(209,plain,
% 0.20/0.46      (((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(growth_rate(efficient_producers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | (~constant(number_of_organizations(sk1, sk2))) | greater(zero, growth_rate(efficient_producers, sk2))) <=> ((growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.46      inference(rewrite,[status(thm)],[])).
% 0.20/0.46  tff(210,plain,
% 0.20/0.46      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(growth_rate(efficient_producers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | (~constant(number_of_organizations(sk1, sk2))) | greater(zero, growth_rate(efficient_producers, sk2)))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))) | ((growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2)))))),
% 0.20/0.46      inference(monotonicity,[status(thm)],[209])).
% 0.20/0.46  tff(211,plain,
% 0.20/0.46      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(growth_rate(efficient_producers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | (~constant(number_of_organizations(sk1, sk2))) | greater(zero, growth_rate(efficient_producers, sk2)))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))) | (growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.46      inference(transitivity,[status(thm)],[210, 208])).
% 0.20/0.46  tff(212,plain,
% 0.20/0.46      ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(growth_rate(efficient_producers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | (~constant(number_of_organizations(sk1, sk2))) | greater(zero, growth_rate(efficient_producers, sk2)))),
% 0.20/0.46      inference(quant_inst,[status(thm)],[])).
% 0.20/0.46  tff(213,plain,
% 0.20/0.46      ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)))) | (growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2)))),
% 0.20/0.46      inference(modus_ponens,[status(thm)],[212, 211])).
% 0.20/0.46  tff(214,plain,
% 0.20/0.46      ((growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(growth_rate(efficient_producers, sk2), zero) | (~constant(number_of_organizations(sk1, sk2)))),
% 0.20/0.46      inference(unit_resolution,[status(thm)],[213, 207, 8, 25])).
% 0.20/0.46  tff(215,plain,
% 0.20/0.46      ((growth_rate(first_movers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(growth_rate(efficient_producers, sk2), zero)),
% 0.20/0.46      inference(unit_resolution,[status(thm)],[214, 88])).
% 0.20/0.46  tff(216,plain,
% 0.20/0.46      (greater(zero, growth_rate(efficient_producers, sk2))),
% 0.20/0.46      inference(unit_resolution,[status(thm)],[215, 197, 196])).
% 0.20/0.46  tff(217,plain,
% 0.20/0.46      (^[B: $i, A: $i] : refl(((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))))),
% 0.20/0.46      inference(bind,[status(th)],[])).
% 0.20/0.46  tff(218,plain,
% 0.20/0.46      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))),
% 0.20/0.46      inference(quant_intro,[status(thm)],[217])).
% 0.20/0.46  tff(219,plain,
% 0.20/0.46      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))),
% 0.20/0.46      inference(rewrite,[status(thm)],[])).
% 0.20/0.46  tff(220,plain,
% 0.20/0.46      (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))))), (((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))), (((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))))), ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))) | greater(growth_rate(first_movers, B), zero)))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))) | greater(growth_rate(first_movers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))), ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))))), (((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) | greater(growth_rate(efficient_producers, B), zero)) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))) | greater(growth_rate(efficient_producers, B), zero)))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B)))) | greater(growth_rate(efficient_producers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))), (((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) | greater(growth_rate(efficient_producers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))))),
% 0.20/0.47      inference(bind,[status(th)],[])).
% 0.20/0.47  tff(221,plain,
% 0.20/0.47      (![B: $i, A: $i] : ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) | greater(growth_rate(efficient_producers, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))),
% 0.20/0.47      inference(quant_intro,[status(thm)],[220])).
% 0.20/0.47  tff(222,axiom,(![B: $i, A: $i] : ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(first_movers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) | greater(growth_rate(efficient_producers, B), zero))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','l7_31')).
% 0.20/0.47  tff(223,plain,
% 0.20/0.47      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))),
% 0.20/0.47      inference(modus_ponens,[status(thm)],[222, 221])).
% 0.20/0.47  tff(224,plain,
% 0.20/0.47      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))),
% 0.20/0.47      inference(modus_ponens,[status(thm)],[223, 219])).
% 0.20/0.47  tff(225,plain,(
% 0.20/0.47      ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))),
% 0.20/0.47      inference(skolemize,[status(sab)],[224])).
% 0.20/0.47  tff(226,plain,
% 0.20/0.47      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))),
% 0.20/0.47      inference(modus_ponens,[status(thm)],[225, 218])).
% 0.20/0.47  tff(227,plain,
% 0.20/0.47      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))) | (greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))) | greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.47      inference(rewrite,[status(thm)],[])).
% 0.20/0.47  tff(228,plain,
% 0.20/0.47      (((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(growth_rate(efficient_producers, sk2), zero) | greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | (~constant(number_of_organizations(sk1, sk2)))) <=> (greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.47      inference(rewrite,[status(thm)],[])).
% 0.20/0.47  tff(229,plain,
% 0.20/0.47      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(growth_rate(efficient_producers, sk2), zero) | greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | (~constant(number_of_organizations(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))) | (greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2)))))),
% 0.20/0.47      inference(monotonicity,[status(thm)],[228])).
% 0.20/0.47  tff(230,plain,
% 0.20/0.47      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(growth_rate(efficient_producers, sk2), zero) | greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | (~constant(number_of_organizations(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))) | greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.47      inference(transitivity,[status(thm)],[229, 227])).
% 0.20/0.47  tff(231,plain,
% 0.20/0.47      ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(growth_rate(efficient_producers, sk2), zero) | greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.47      inference(quant_inst,[status(thm)],[])).
% 0.20/0.47  tff(232,plain,
% 0.20/0.47      ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (growth_rate(first_movers, B) = zero) | (~constant(number_of_organizations(A, B))))) | greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2)))),
% 0.20/0.47      inference(modus_ponens,[status(thm)],[231, 230])).
% 0.20/0.47  tff(233,plain,
% 0.20/0.47      (greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | greater(growth_rate(efficient_producers, sk2), zero) | (~constant(number_of_organizations(sk1, sk2)))),
% 0.20/0.47      inference(unit_resolution,[status(thm)],[232, 226, 8, 25])).
% 0.20/0.47  tff(234,plain,
% 0.20/0.47      (greater(growth_rate(first_movers, sk2), zero) | (growth_rate(first_movers, sk2) = zero) | greater(growth_rate(efficient_producers, sk2), zero)),
% 0.20/0.47      inference(unit_resolution,[status(thm)],[233, 88])).
% 0.20/0.47  tff(235,plain,
% 0.20/0.47      (greater(growth_rate(first_movers, sk2), zero)),
% 0.20/0.47      inference(unit_resolution,[status(thm)],[234, 197, 196])).
% 0.20/0.47  tff(236,plain,
% 0.20/0.47      ($false),
% 0.20/0.47      inference(unit_resolution,[status(thm)],[144, 235, 216])).
% 0.20/0.47  tff(237,plain,(growth_rate(first_movers, sk2) = zero), inference(lemma,lemma(discharge,[]))).
% 0.20/0.47  tff(238,plain,
% 0.20/0.47      (~(growth_rate(efficient_producers, sk2) = zero)),
% 0.20/0.47      inference(unit_resolution,[status(thm)],[136, 237])).
% 0.20/0.47  tff(239,plain,
% 0.20/0.47      (^[B: $i, A: $i] : refl(((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero)))),
% 0.20/0.47      inference(bind,[status(th)],[])).
% 0.20/0.47  tff(240,plain,
% 0.20/0.47      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.47      inference(quant_intro,[status(thm)],[239])).
% 0.20/0.47  tff(241,plain,
% 0.20/0.47      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.47      inference(rewrite,[status(thm)],[])).
% 0.20/0.47  tff(242,plain,
% 0.20/0.47      (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))))), (((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))), (((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)))), ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))), ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero)))), (((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) | greater(growth_rate(efficient_producers, B), zero)) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(efficient_producers, B), zero)))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(efficient_producers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))), (((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) | greater(growth_rate(efficient_producers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))))),
% 0.20/0.47      inference(bind,[status(th)],[])).
% 0.20/0.47  tff(243,plain,
% 0.20/0.47      (![B: $i, A: $i] : ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) | greater(growth_rate(efficient_producers, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.47      inference(quant_intro,[status(thm)],[242])).
% 0.20/0.47  tff(244,axiom,(![B: $i, A: $i] : ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(zero, growth_rate(efficient_producers, B))) | greater(growth_rate(efficient_producers, B), zero))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','l7_37')).
% 0.20/0.47  tff(245,plain,
% 0.20/0.47      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.47      inference(modus_ponens,[status(thm)],[244, 243])).
% 0.20/0.47  tff(246,plain,
% 0.20/0.47      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.47      inference(modus_ponens,[status(thm)],[245, 241])).
% 0.20/0.47  tff(247,plain,(
% 0.20/0.47      ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.47      inference(skolemize,[status(sab)],[246])).
% 0.20/0.47  tff(248,plain,
% 0.20/0.47      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.47      inference(modus_ponens,[status(thm)],[247, 240])).
% 0.20/0.47  tff(249,plain,
% 0.20/0.47      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))) | ((growth_rate(efficient_producers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))) | (growth_rate(efficient_producers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.47      inference(rewrite,[status(thm)],[])).
% 0.20/0.47  tff(250,plain,
% 0.20/0.47      (((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(growth_rate(efficient_producers, sk2), zero) | (~constant(number_of_organizations(sk1, sk2))) | greater(zero, growth_rate(efficient_producers, sk2)) | (growth_rate(efficient_producers, sk2) = zero)) <=> ((growth_rate(efficient_producers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.47      inference(rewrite,[status(thm)],[])).
% 0.20/0.47  tff(251,plain,
% 0.20/0.47      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(growth_rate(efficient_producers, sk2), zero) | (~constant(number_of_organizations(sk1, sk2))) | greater(zero, growth_rate(efficient_producers, sk2)) | (growth_rate(efficient_producers, sk2) = zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))) | ((growth_rate(efficient_producers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2)))))),
% 0.20/0.47      inference(monotonicity,[status(thm)],[250])).
% 0.20/0.47  tff(252,plain,
% 0.20/0.47      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(growth_rate(efficient_producers, sk2), zero) | (~constant(number_of_organizations(sk1, sk2))) | greater(zero, growth_rate(efficient_producers, sk2)) | (growth_rate(efficient_producers, sk2) = zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))) | (growth_rate(efficient_producers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.47      inference(transitivity,[status(thm)],[251, 249])).
% 0.20/0.47  tff(253,plain,
% 0.20/0.47      ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(growth_rate(efficient_producers, sk2), zero) | (~constant(number_of_organizations(sk1, sk2))) | greater(zero, growth_rate(efficient_producers, sk2)) | (growth_rate(efficient_producers, sk2) = zero))),
% 0.20/0.48      inference(quant_inst,[status(thm)],[])).
% 0.20/0.48  tff(254,plain,
% 0.20/0.48      ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | (~constant(number_of_organizations(A, B))) | greater(zero, growth_rate(efficient_producers, B)) | (growth_rate(efficient_producers, B) = zero))) | (growth_rate(efficient_producers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2)))),
% 0.20/0.48      inference(modus_ponens,[status(thm)],[253, 252])).
% 0.20/0.48  tff(255,plain,
% 0.20/0.48      ((growth_rate(efficient_producers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(growth_rate(efficient_producers, sk2), zero) | (~constant(number_of_organizations(sk1, sk2)))),
% 0.20/0.48      inference(unit_resolution,[status(thm)],[254, 248, 8, 25])).
% 0.20/0.48  tff(256,plain,
% 0.20/0.48      ((growth_rate(efficient_producers, sk2) = zero) | greater(zero, growth_rate(efficient_producers, sk2)) | greater(growth_rate(efficient_producers, sk2), zero)),
% 0.20/0.48      inference(unit_resolution,[status(thm)],[255, 88])).
% 0.20/0.48  tff(257,plain,
% 0.20/0.48      (greater(zero, growth_rate(efficient_producers, sk2))),
% 0.20/0.48      inference(unit_resolution,[status(thm)],[256, 238, 196])).
% 0.20/0.48  tff(258,plain,
% 0.20/0.48      (^[B: $i, A: $i] : refl(((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)))),
% 0.20/0.48      inference(bind,[status(th)],[])).
% 0.20/0.48  tff(259,plain,
% 0.20/0.48      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.48      inference(quant_intro,[status(thm)],[258])).
% 0.20/0.48  tff(260,plain,
% 0.20/0.48      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.48      inference(rewrite,[status(thm)],[])).
% 0.20/0.48  tff(261,plain,
% 0.20/0.48      (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))))), (((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))), (((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)))), ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(first_movers, B), zero)))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))), ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)))), (((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) | greater(growth_rate(efficient_producers, B), zero)) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(efficient_producers, B), zero)))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(efficient_producers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))), (((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) | greater(growth_rate(efficient_producers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))))),
% 0.20/0.48      inference(bind,[status(th)],[])).
% 0.20/0.48  tff(262,plain,
% 0.20/0.48      (![B: $i, A: $i] : ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) | greater(growth_rate(efficient_producers, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.48      inference(quant_intro,[status(thm)],[261])).
% 0.20/0.48  tff(263,axiom,(![B: $i, A: $i] : ((((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~constant(number_of_organizations(A, B)))) | (growth_rate(efficient_producers, B) = zero)) | greater(growth_rate(first_movers, B), zero)) | greater(growth_rate(efficient_producers, B), zero))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','l7_35')).
% 0.20/0.48  tff(264,plain,
% 0.20/0.48      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.48      inference(modus_ponens,[status(thm)],[263, 262])).
% 0.20/0.48  tff(265,plain,
% 0.20/0.48      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.48      inference(modus_ponens,[status(thm)],[264, 260])).
% 0.20/0.48  tff(266,plain,(
% 0.20/0.48      ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.48      inference(skolemize,[status(sab)],[265])).
% 0.20/0.48  tff(267,plain,
% 0.20/0.48      (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))),
% 0.20/0.48      inference(modus_ponens,[status(thm)],[266, 259])).
% 0.20/0.48  tff(268,plain,
% 0.20/0.48      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))) | ((growth_rate(efficient_producers, sk2) = zero) | greater(growth_rate(first_movers, sk2), zero) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))) | (growth_rate(efficient_producers, sk2) = zero) | greater(growth_rate(first_movers, sk2), zero) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.48      inference(rewrite,[status(thm)],[])).
% 0.20/0.48  tff(269,plain,
% 0.20/0.48      (((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(growth_rate(efficient_producers, sk2), zero) | greater(growth_rate(first_movers, sk2), zero) | (~constant(number_of_organizations(sk1, sk2))) | (growth_rate(efficient_producers, sk2) = zero)) <=> ((growth_rate(efficient_producers, sk2) = zero) | greater(growth_rate(first_movers, sk2), zero) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.48      inference(rewrite,[status(thm)],[])).
% 0.20/0.48  tff(270,plain,
% 0.20/0.48      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(growth_rate(efficient_producers, sk2), zero) | greater(growth_rate(first_movers, sk2), zero) | (~constant(number_of_organizations(sk1, sk2))) | (growth_rate(efficient_producers, sk2) = zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))) | ((growth_rate(efficient_producers, sk2) = zero) | greater(growth_rate(first_movers, sk2), zero) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2)))))),
% 0.20/0.48      inference(monotonicity,[status(thm)],[269])).
% 0.20/0.48  tff(271,plain,
% 0.20/0.48      (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(growth_rate(efficient_producers, sk2), zero) | greater(growth_rate(first_movers, sk2), zero) | (~constant(number_of_organizations(sk1, sk2))) | (growth_rate(efficient_producers, sk2) = zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))) | (growth_rate(efficient_producers, sk2) = zero) | greater(growth_rate(first_movers, sk2), zero) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2))))),
% 0.20/0.48      inference(transitivity,[status(thm)],[270, 268])).
% 0.20/0.48  tff(272,plain,
% 0.20/0.48      ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))) | ((~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | greater(growth_rate(efficient_producers, sk2), zero) | greater(growth_rate(first_movers, sk2), zero) | (~constant(number_of_organizations(sk1, sk2))) | (growth_rate(efficient_producers, sk2) = zero))),
% 0.20/0.48      inference(quant_inst,[status(thm)],[])).
% 0.20/0.48  tff(273,plain,
% 0.20/0.48      ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(growth_rate(efficient_producers, B), zero) | greater(growth_rate(first_movers, B), zero) | (~constant(number_of_organizations(A, B))) | (growth_rate(efficient_producers, B) = zero))) | (growth_rate(efficient_producers, sk2) = zero) | greater(growth_rate(first_movers, sk2), zero) | greater(growth_rate(efficient_producers, sk2), zero) | (~subpopulations(first_movers, efficient_producers, sk1, sk2)) | (~environment(sk1)) | (~constant(number_of_organizations(sk1, sk2)))),
% 0.20/0.48      inference(modus_ponens,[status(thm)],[272, 271])).
% 0.20/0.48  tff(274,plain,
% 0.20/0.48      ((growth_rate(efficient_producers, sk2) = zero) | greater(growth_rate(first_movers, sk2), zero) | greater(growth_rate(efficient_producers, sk2), zero) | (~constant(number_of_organizations(sk1, sk2)))),
% 0.20/0.48      inference(unit_resolution,[status(thm)],[273, 267, 8, 25])).
% 0.20/0.48  tff(275,plain,
% 0.20/0.48      ((growth_rate(efficient_producers, sk2) = zero) | greater(growth_rate(first_movers, sk2), zero) | greater(growth_rate(efficient_producers, sk2), zero)),
% 0.20/0.48      inference(unit_resolution,[status(thm)],[274, 88])).
% 0.20/0.48  tff(276,plain,
% 0.20/0.48      (greater(growth_rate(first_movers, sk2), zero)),
% 0.20/0.48      inference(unit_resolution,[status(thm)],[275, 238, 196])).
% 0.20/0.48  tff(277,plain,
% 0.20/0.48      ($false),
% 0.20/0.48      inference(unit_resolution,[status(thm)],[144, 276, 257])).
% 0.20/0.48  % SZS output end Proof
%------------------------------------------------------------------------------