%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT035-2 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:02 AM UTC 2026
% Result : Unsatisfiable 0.27s 0.58s
% Output : Proof 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MGT035-2 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : run_E %s %d THM
% 0.14/0.40 % Computer : n017.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Sep 7 12:34:26 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.27/0.58 % SZS status Unsatisfiable
% 0.27/0.58 % SZS output start Proof
% 0.27/0.58 tff(equilibrium_type, type, (
% 0.27/0.58 equilibrium: $i > $i)).
% 0.27/0.58 tff(sk3_type, type, (
% 0.27/0.58 sk3: $i)).
% 0.27/0.58 tff(sk1_type, type, (
% 0.27/0.58 sk1: $i > $i)).
% 0.27/0.58 tff(greater_type, type, (
% 0.27/0.58 greater: ( $i * $i ) > $o)).
% 0.27/0.58 tff(sk4_type, type, (
% 0.27/0.58 sk4: $i > $i)).
% 0.27/0.58 tff(sk2_type, type, (
% 0.27/0.58 sk2: $i > $i)).
% 0.27/0.58 tff(constant_type, type, (
% 0.27/0.58 constant: $i > $o)).
% 0.27/0.58 tff(resources_type, type, (
% 0.27/0.58 resources: ( $i * $i ) > $i)).
% 0.27/0.58 tff(number_of_organizations_type, type, (
% 0.27/0.58 number_of_organizations: ( $i * $i ) > $i)).
% 0.27/0.58 tff(sum_type, type, (
% 0.27/0.58 sum: ( $i * $i ) > $i)).
% 0.27/0.58 tff(cardinality_at_time_type, type, (
% 0.27/0.58 cardinality_at_time: ( $i * $i ) > $i)).
% 0.27/0.58 tff(efficient_producers_type, type, (
% 0.27/0.58 efficient_producers: $i)).
% 0.27/0.58 tff(first_movers_type, type, (
% 0.27/0.58 first_movers: $i)).
% 0.27/0.58 tff(subpopulation_type, type, (
% 0.27/0.58 subpopulation: ( $i * $i * $i ) > $o)).
% 0.27/0.58 tff(in_environment_type, type, (
% 0.27/0.58 in_environment: ( $i * $i ) > $o)).
% 0.27/0.58 tff(subpopulations_type, type, (
% 0.27/0.58 subpopulations: ( $i * $i * $i * $i ) > $o)).
% 0.27/0.58 tff(stable_type, type, (
% 0.27/0.58 stable: $i > $o)).
% 0.27/0.58 tff(environment_type, type, (
% 0.27/0.58 environment: $i > $o)).
% 0.27/0.58 tff(growth_rate_type, type, (
% 0.27/0.58 growth_rate: ( $i * $i ) > $i)).
% 0.27/0.58 tff(zero_type, type, (
% 0.27/0.58 zero: $i)).
% 0.27/0.58 tff(increases_type, type, (
% 0.27/0.58 increases: $i > $o)).
% 0.27/0.58 tff(decreases_type, type, (
% 0.27/0.58 decreases: $i > $o)).
% 0.27/0.58 tff(greater_or_equal_type, type, (
% 0.27/0.58 greater_or_equal: ( $i * $i ) > $o)).
% 0.27/0.58 tff(outcompetes_type, type, (
% 0.27/0.58 outcompetes: ( $i * $i * $i ) > $o)).
% 0.27/0.58 tff(1,assumption,(greater(sk1(sk3), equilibrium(sk3))), introduced(assumption)).
% 0.27/0.58 tff(2,plain,
% 0.27/0.58 (stable(sk3) <=> stable(sk3)),
% 0.27/0.58 inference(rewrite,[status(thm)],[])).
% 0.27/0.58 tff(3,axiom,(stable(sk3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_t4_77')).
% 0.27/0.58 tff(4,plain,
% 0.27/0.58 (stable(sk3)),
% 0.27/0.58 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.27/0.58 tff(5,plain,
% 0.27/0.58 (environment(sk3) <=> environment(sk3)),
% 0.27/0.58 inference(rewrite,[status(thm)],[])).
% 0.27/0.58 tff(6,axiom,(environment(sk3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_t4_76')).
% 0.27/0.58 tff(7,plain,
% 0.27/0.58 (environment(sk3)),
% 0.27/0.58 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.27/0.58 tff(8,plain,
% 0.27/0.58 (^[A: $i] : refl(((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A))) <=> ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A))))),
% 0.27/0.58 inference(bind,[status(th)],[])).
% 0.27/0.58 tff(9,plain,
% 0.27/0.58 (![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A))) <=> ![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))),
% 0.27/0.58 inference(quant_intro,[status(thm)],[8])).
% 0.27/0.58 tff(10,plain,
% 0.27/0.58 (![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A))) <=> ![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))),
% 0.27/0.58 inference(rewrite,[status(thm)],[])).
% 0.27/0.58 tff(11,plain,
% 0.27/0.58 (^[A: $i] : rewrite((((~environment(A)) | (~stable(A))) | in_environment(A, sk2(A))) <=> ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A))))),
% 0.27/0.58 inference(bind,[status(th)],[])).
% 0.27/0.58 tff(12,plain,
% 0.27/0.58 (![A: $i] : (((~environment(A)) | (~stable(A))) | in_environment(A, sk2(A))) <=> ![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))),
% 0.27/0.58 inference(quant_intro,[status(thm)],[11])).
% 0.27/0.58 tff(13,axiom,(![A: $i] : (((~environment(A)) | (~stable(A))) | in_environment(A, sk2(A)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','l1_74')).
% 0.27/0.58 tff(14,plain,
% 0.27/0.58 (![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))),
% 0.27/0.58 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.27/0.58 tff(15,plain,
% 0.27/0.58 (![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))),
% 0.27/0.58 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.27/0.58 tff(16,plain,(
% 0.27/0.58 ![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))),
% 0.27/0.58 inference(skolemize,[status(sab)],[15])).
% 0.27/0.58 tff(17,plain,
% 0.27/0.58 (![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))),
% 0.27/0.58 inference(modus_ponens,[status(thm)],[16, 9])).
% 0.27/0.58 tff(18,plain,
% 0.27/0.58 (((~![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))) | ((~environment(sk3)) | in_environment(sk3, sk2(sk3)) | (~stable(sk3)))) <=> ((~![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))) | (~environment(sk3)) | in_environment(sk3, sk2(sk3)) | (~stable(sk3)))),
% 0.27/0.59 inference(rewrite,[status(thm)],[])).
% 0.27/0.59 tff(19,plain,
% 0.27/0.59 ((~![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))) | ((~environment(sk3)) | in_environment(sk3, sk2(sk3)) | (~stable(sk3)))),
% 0.27/0.59 inference(quant_inst,[status(thm)],[])).
% 0.27/0.59 tff(20,plain,
% 0.27/0.59 ((~![A: $i] : ((~environment(A)) | in_environment(A, sk2(A)) | (~stable(A)))) | (~environment(sk3)) | in_environment(sk3, sk2(sk3)) | (~stable(sk3))),
% 0.27/0.59 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.27/0.59 tff(21,plain,
% 0.27/0.59 (in_environment(sk3, sk2(sk3))),
% 0.27/0.59 inference(unit_resolution,[status(thm)],[20, 17, 7, 4])).
% 0.27/0.59 tff(22,plain,
% 0.27/0.59 (^[A: $i] : refl(((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A))) <=> ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A))))),
% 0.27/0.59 inference(bind,[status(th)],[])).
% 0.27/0.59 tff(23,plain,
% 0.27/0.59 (![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A))) <=> ![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))),
% 0.27/0.59 inference(quant_intro,[status(thm)],[22])).
% 0.27/0.59 tff(24,plain,
% 0.27/0.59 (![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A))) <=> ![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))),
% 0.27/0.59 inference(rewrite,[status(thm)],[])).
% 0.27/0.59 tff(25,axiom,(![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_t4_78')).
% 0.27/0.59 tff(26,plain,
% 0.27/0.59 (![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))),
% 0.27/0.59 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.27/0.59 tff(27,plain,(
% 0.27/0.59 ![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))),
% 0.27/0.59 inference(skolemize,[status(sab)],[26])).
% 0.27/0.59 tff(28,plain,
% 0.27/0.59 (![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))),
% 0.27/0.59 inference(modus_ponens,[status(thm)],[27, 23])).
% 0.27/0.59 tff(29,plain,
% 0.27/0.59 (((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | ((~in_environment(sk3, sk2(sk3))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3))))) <=> ((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | (~in_environment(sk3, sk2(sk3))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3))))),
% 0.27/0.59 inference(rewrite,[status(thm)],[])).
% 0.27/0.59 tff(30,plain,
% 0.27/0.59 ((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | ((~in_environment(sk3, sk2(sk3))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3))))),
% 0.27/0.59 inference(quant_inst,[status(thm)],[])).
% 0.27/0.59 tff(31,plain,
% 0.27/0.59 ((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | (~in_environment(sk3, sk2(sk3))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))),
% 0.27/0.59 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.27/0.59 tff(32,plain,
% 0.27/0.59 (subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))),
% 0.27/0.59 inference(unit_resolution,[status(thm)],[31, 28, 21])).
% 0.27/0.59 tff(33,plain,
% 0.27/0.59 (^[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))))),
% 0.27/0.59 inference(bind,[status(th)],[])).
% 0.27/0.59 tff(34,plain,
% 0.27/0.59 (![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)))),
% 0.27/0.59 inference(quant_intro,[status(thm)],[33])).
% 0.27/0.59 tff(35,plain,
% 0.27/0.59 (![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)))),
% 0.27/0.59 inference(rewrite,[status(thm)],[])).
% 0.27/0.59 tff(36,plain,
% 0.27/0.59 (^[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))))),
% 0.27/0.59 inference(bind,[status(th)],[])).
% 0.27/0.59 tff(37,plain,
% 0.27/0.59 (![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)))),
% 0.27/0.59 inference(quant_intro,[status(thm)],[36])).
% 0.27/0.59 tff(38,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_in_environment_36')).
% 0.27/0.59 tff(39,plain,
% 0.27/0.59 (![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))),
% 0.27/0.59 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.27/0.59 tff(40,plain,
% 0.27/0.59 (![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))),
% 0.27/0.59 inference(modus_ponens,[status(thm)],[39, 35])).
% 0.27/0.59 tff(41,plain,(
% 0.27/0.59 ![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))),
% 0.27/0.59 inference(skolemize,[status(sab)],[40])).
% 0.27/0.59 tff(42,plain,
% 0.27/0.59 (![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))),
% 0.27/0.59 inference(modus_ponens,[status(thm)],[41, 34])).
% 0.27/0.59 tff(43,plain,
% 0.27/0.59 (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | in_environment(sk3, sk4(sk2(sk3))))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | in_environment(sk3, sk4(sk2(sk3))))),
% 0.27/0.59 inference(rewrite,[status(thm)],[])).
% 0.27/0.59 tff(44,plain,
% 0.27/0.59 ((in_environment(sk3, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3))) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | in_environment(sk3, sk4(sk2(sk3))))),
% 0.27/0.59 inference(rewrite,[status(thm)],[])).
% 0.27/0.59 tff(45,plain,
% 0.27/0.59 (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk3, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | in_environment(sk3, sk4(sk2(sk3)))))),
% 0.27/0.59 inference(monotonicity,[status(thm)],[44])).
% 0.27/0.59 tff(46,plain,
% 0.27/0.59 (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk3, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | in_environment(sk3, sk4(sk2(sk3))))),
% 0.27/0.59 inference(transitivity,[status(thm)],[45, 43])).
% 0.27/0.59 tff(47,plain,
% 0.27/0.59 ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk3, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)))),
% 0.27/0.59 inference(quant_inst,[status(thm)],[])).
% 0.27/0.59 tff(48,plain,
% 0.27/0.59 ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | in_environment(sk3, sk4(sk2(sk3)))),
% 0.27/0.59 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.27/0.59 tff(49,plain,
% 0.27/0.59 (in_environment(sk3, sk4(sk2(sk3)))),
% 0.27/0.59 inference(unit_resolution,[status(thm)],[48, 42, 7, 32])).
% 0.27/0.59 tff(50,plain,
% 0.27/0.59 (^[B: $i, A: $i] : refl(((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B)) <=> ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B)))),
% 0.27/0.59 inference(bind,[status(th)],[])).
% 0.27/0.59 tff(51,plain,
% 0.27/0.59 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B)) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))),
% 0.27/0.59 inference(quant_intro,[status(thm)],[50])).
% 0.27/0.59 tff(52,plain,
% 0.27/0.59 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B)) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))),
% 0.27/0.59 inference(rewrite,[status(thm)],[])).
% 0.27/0.59 tff(53,plain,
% 0.27/0.59 (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~in_environment(A, B))) | subpopulation(first_movers, A, B)) <=> ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B)))),
% 0.27/0.59 inference(bind,[status(th)],[])).
% 0.27/0.59 tff(54,plain,
% 0.27/0.59 (![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | subpopulation(first_movers, A, B)) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))),
% 0.27/0.59 inference(quant_intro,[status(thm)],[53])).
% 0.27/0.59 tff(55,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | subpopulation(first_movers, A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_FM_and_EP_organisational_41')).
% 0.27/0.59 tff(56,plain,
% 0.27/0.59 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))),
% 0.27/0.59 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.27/0.59 tff(57,plain,
% 0.27/0.59 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))),
% 0.27/0.59 inference(modus_ponens,[status(thm)],[56, 52])).
% 0.27/0.59 tff(58,plain,(
% 0.27/0.59 ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))),
% 0.27/0.59 inference(skolemize,[status(sab)],[57])).
% 0.27/0.59 tff(59,plain,
% 0.27/0.59 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))),
% 0.27/0.59 inference(modus_ponens,[status(thm)],[58, 51])).
% 0.27/0.59 tff(60,plain,
% 0.27/0.59 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | subpopulation(first_movers, sk3, sk4(sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | subpopulation(first_movers, sk3, sk4(sk2(sk3))))),
% 0.27/0.59 inference(rewrite,[status(thm)],[])).
% 0.27/0.59 tff(61,plain,
% 0.27/0.59 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | subpopulation(first_movers, sk3, sk4(sk2(sk3))))),
% 0.27/0.59 inference(quant_inst,[status(thm)],[])).
% 0.27/0.59 tff(62,plain,
% 0.27/0.59 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | subpopulation(first_movers, sk3, sk4(sk2(sk3)))),
% 0.27/0.59 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.27/0.60 tff(63,plain,
% 0.27/0.60 (subpopulation(first_movers, sk3, sk4(sk2(sk3)))),
% 0.27/0.60 inference(unit_resolution,[status(thm)],[62, 59, 7, 49])).
% 0.27/0.60 tff(64,plain,
% 0.27/0.60 (^[A: $i, C: $i] : refl(((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C))) <=> ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C))))),
% 0.27/0.60 inference(bind,[status(th)],[])).
% 0.27/0.60 tff(65,plain,
% 0.27/0.60 (![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C))) <=> ![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))),
% 0.27/0.60 inference(quant_intro,[status(thm)],[64])).
% 0.27/0.60 tff(66,plain,
% 0.27/0.60 (![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C))) <=> ![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))),
% 0.27/0.60 inference(rewrite,[status(thm)],[])).
% 0.27/0.60 tff(67,plain,
% 0.27/0.60 (^[A: $i, C: $i] : rewrite(((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(first_movers, A, C)) | (~environment(A))) <=> ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C))))),
% 0.27/0.60 inference(bind,[status(th)],[])).
% 0.27/0.60 tff(68,plain,
% 0.27/0.60 (![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(first_movers, A, C)) | (~environment(A))) <=> ![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))),
% 0.27/0.60 inference(quant_intro,[status(thm)],[67])).
% 0.27/0.60 tff(69,plain,
% 0.27/0.60 (![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(first_movers, A, C)) | (~environment(A))) <=> ![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(first_movers, A, C)) | (~environment(A)))),
% 0.27/0.60 inference(elim_unused_vars,[status(thm)],[])).
% 0.27/0.60 tff(70,plain,
% 0.27/0.60 (![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = first_movers))) <=> ![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(first_movers, A, C)) | (~environment(A)))),
% 0.27/0.60 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.27/0.60 tff(71,plain,
% 0.27/0.60 (![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = first_movers))) <=> ![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(first_movers, A, C)) | (~environment(A)))),
% 0.27/0.60 inference(transitivity,[status(thm)],[70, 69])).
% 0.27/0.60 tff(72,plain,
% 0.27/0.60 (![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = first_movers))) <=> ![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))),
% 0.27/0.60 inference(transitivity,[status(thm)],[71, 68])).
% 0.27/0.60 tff(73,plain,
% 0.27/0.60 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~environment(A)) | (~subpopulation(B, A, C))) | (~(B = first_movers))) <=> ((~subpopulation(B, A, C)) | (~environment(A)) | (~(B = first_movers)))), (((((~environment(A)) | (~subpopulation(B, A, C))) | (~(B = first_movers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C)))) <=> (((~subpopulation(B, A, C)) | (~environment(A)) | (~(B = first_movers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C)))))), rewrite((((~subpopulation(B, A, C)) | (~environment(A)) | (~(B = first_movers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C)))) <=> ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = first_movers)))), (((((~environment(A)) | (~subpopulation(B, A, C))) | (~(B = first_movers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C)))) <=> ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = first_movers)))))),
% 0.27/0.60 inference(bind,[status(th)],[])).
% 0.27/0.60 tff(74,plain,
% 0.27/0.60 (![B: $i, A: $i, C: $i] : ((((~environment(A)) | (~subpopulation(B, A, C))) | (~(B = first_movers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C)))) <=> ![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = first_movers)))),
% 0.27/0.60 inference(quant_intro,[status(thm)],[73])).
% 0.27/0.60 tff(75,plain,
% 0.27/0.60 (![B: $i, A: $i, C: $i] : ((((~environment(A)) | (~subpopulation(B, A, C))) | (~(B = first_movers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C)))) <=> ![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))),
% 0.27/0.60 inference(transitivity,[status(thm)],[74, 72])).
% 0.27/0.60 tff(76,axiom,(![B: $i, A: $i, C: $i] : ((((~environment(A)) | (~subpopulation(B, A, C))) | (~(B = first_movers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_only_members_40')).
% 0.27/0.60 tff(77,plain,
% 0.27/0.60 (![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))),
% 0.27/0.60 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.27/0.60 tff(78,plain,
% 0.27/0.60 (![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))),
% 0.27/0.60 inference(modus_ponens,[status(thm)],[77, 66])).
% 0.27/0.60 tff(79,plain,(
% 0.27/0.60 ![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))),
% 0.27/0.60 inference(skolemize,[status(sab)],[78])).
% 0.27/0.60 tff(80,plain,
% 0.27/0.60 (![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))),
% 0.37/0.60 inference(modus_ponens,[status(thm)],[79, 65])).
% 0.37/0.60 tff(81,plain,
% 0.37/0.60 (((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))) | ((~environment(sk3)) | (number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))))) <=> ((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))) | (~environment(sk3)) | (number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))))),
% 0.37/0.60 inference(rewrite,[status(thm)],[])).
% 0.37/0.60 tff(82,plain,
% 0.37/0.60 (((number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~environment(sk3)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3))))) <=> ((~environment(sk3)) | (number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))))),
% 0.37/0.60 inference(rewrite,[status(thm)],[])).
% 0.37/0.60 tff(83,plain,
% 0.37/0.60 (((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))) | ((number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~environment(sk3)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))))) <=> ((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))) | ((~environment(sk3)) | (number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3))))))),
% 0.37/0.60 inference(monotonicity,[status(thm)],[82])).
% 0.37/0.60 tff(84,plain,
% 0.37/0.60 (((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))) | ((number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~environment(sk3)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))))) <=> ((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))) | (~environment(sk3)) | (number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))))),
% 0.37/0.60 inference(transitivity,[status(thm)],[83, 81])).
% 0.37/0.60 tff(85,plain,
% 0.37/0.60 ((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))) | ((number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~environment(sk3)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))))),
% 0.37/0.60 inference(quant_inst,[status(thm)],[])).
% 0.37/0.60 tff(86,plain,
% 0.37/0.60 ((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))) | (~environment(sk3)) | (number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3))))),
% 0.37/0.61 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.37/0.61 tff(87,plain,
% 0.37/0.61 (number_of_organizations(sk3, sk4(sk2(sk3))) = sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))),
% 0.37/0.61 inference(unit_resolution,[status(thm)],[86, 80, 7, 63])).
% 0.37/0.61 tff(88,plain,
% 0.37/0.61 (sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) = number_of_organizations(sk3, sk4(sk2(sk3)))),
% 0.37/0.61 inference(symmetry,[status(thm)],[87])).
% 0.37/0.61 tff(89,plain,
% 0.37/0.61 (constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) <=> constant(number_of_organizations(sk3, sk4(sk2(sk3))))),
% 0.37/0.61 inference(monotonicity,[status(thm)],[88])).
% 0.37/0.61 tff(90,plain,
% 0.37/0.61 ((~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) <=> (~constant(number_of_organizations(sk3, sk4(sk2(sk3)))))),
% 0.37/0.61 inference(monotonicity,[status(thm)],[89])).
% 0.37/0.61 tff(91,assumption,(constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))), introduced(assumption)).
% 0.37/0.61 tff(92,assumption,(~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))), introduced(assumption)).
% 0.37/0.61 tff(93,assumption,(~constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))), introduced(assumption)).
% 0.37/0.61 tff(94,plain,
% 0.37/0.61 (^[B: $i, C: $i] : refl((constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C)))) <=> (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C)))))),
% 0.37/0.61 inference(bind,[status(th)],[])).
% 0.37/0.61 tff(95,plain,
% 0.37/0.61 (![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C)))) <=> ![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C))))),
% 0.37/0.61 inference(quant_intro,[status(thm)],[94])).
% 0.37/0.61 tff(96,plain,
% 0.37/0.61 (![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C)))) <=> ![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C))))),
% 0.37/0.61 inference(rewrite,[status(thm)],[])).
% 0.37/0.61 tff(97,plain,
% 0.37/0.61 (^[B: $i, C: $i] : rewrite((decreases(C) | constant(B) | (~constant(sum(B, C))) | increases(C)) <=> (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C)))))),
% 0.37/0.61 inference(bind,[status(th)],[])).
% 0.37/0.61 tff(98,plain,
% 0.37/0.61 (![B: $i, C: $i] : (decreases(C) | constant(B) | (~constant(sum(B, C))) | increases(C)) <=> ![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C))))),
% 0.37/0.61 inference(quant_intro,[status(thm)],[97])).
% 0.37/0.61 tff(99,plain,
% 0.37/0.61 (![B: $i, A: $i, C: $i] : (decreases(C) | constant(B) | (~constant(sum(B, C))) | increases(C)) <=> ![B: $i, C: $i] : (decreases(C) | constant(B) | (~constant(sum(B, C))) | increases(C))),
% 0.37/0.61 inference(elim_unused_vars,[status(thm)],[])).
% 0.37/0.61 tff(100,plain,
% 0.37/0.61 (![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C)) <=> ![B: $i, A: $i, C: $i] : (decreases(C) | constant(B) | (~constant(sum(B, C))) | increases(C))),
% 0.37/0.61 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.37/0.61 tff(101,plain,
% 0.37/0.61 (![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C)) <=> ![B: $i, C: $i] : (decreases(C) | constant(B) | (~constant(sum(B, C))) | increases(C))),
% 0.37/0.61 inference(transitivity,[status(thm)],[100, 99])).
% 0.37/0.61 tff(102,plain,
% 0.37/0.61 (![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C)) <=> ![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C))))),
% 0.37/0.61 inference(transitivity,[status(thm)],[101, 98])).
% 0.37/0.61 tff(103,plain,
% 0.37/0.61 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(A = sum(B, C))) | (~constant(A))) <=> ((~constant(A)) | (~(A = sum(B, C))))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) <=> (((~constant(A)) | (~(A = sum(B, C)))) | constant(B)))), rewrite((((~constant(A)) | (~(A = sum(B, C)))) | constant(B)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C)))))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) <=> ((constant(B) | (~constant(A)) | (~(A = sum(B, C)))) | decreases(C)))), rewrite(((constant(B) | (~constant(A)) | (~(A = sum(B, C)))) | decreases(C)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) | increases(C)) <=> ((constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)) | increases(C)))), rewrite(((constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)) | increases(C)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) | increases(C)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))))),
% 0.37/0.61 inference(bind,[status(th)],[])).
% 0.37/0.61 tff(104,plain,
% 0.37/0.61 (![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) | increases(C)) <=> ![B: $i, A: $i, C: $i] : (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C) | decreases(C))),
% 0.37/0.61 inference(quant_intro,[status(thm)],[103])).
% 0.37/0.61 tff(105,plain,
% 0.37/0.61 (![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) | increases(C)) <=> ![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C))))),
% 0.37/0.61 inference(transitivity,[status(thm)],[104, 102])).
% 0.37/0.61 tff(106,axiom,(![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) | increases(C))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_abc_sum_increase_46')).
% 0.37/0.61 tff(107,plain,
% 0.37/0.61 (![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C))))),
% 0.37/0.61 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.37/0.61 tff(108,plain,
% 0.37/0.61 (![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C))))),
% 0.37/0.61 inference(modus_ponens,[status(thm)],[107, 96])).
% 0.37/0.61 tff(109,plain,(
% 0.37/0.61 ![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C))))),
% 0.37/0.61 inference(skolemize,[status(sab)],[108])).
% 0.37/0.61 tff(110,plain,
% 0.37/0.61 (![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C))))),
% 0.37/0.61 inference(modus_ponens,[status(thm)],[109, 95])).
% 0.37/0.61 tff(111,plain,
% 0.37/0.61 (((~![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C))))) | (decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))) <=> ((~![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.37/0.61 inference(rewrite,[status(thm)],[])).
% 0.37/0.61 tff(112,plain,
% 0.37/0.61 ((constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))) <=> (decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.37/0.61 inference(rewrite,[status(thm)],[])).
% 0.37/0.61 tff(113,plain,
% 0.37/0.61 (((~![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C))))) | (constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))) <=> ((~![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C))))) | (decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))))),
% 0.37/0.61 inference(monotonicity,[status(thm)],[112])).
% 0.37/0.61 tff(114,plain,
% 0.37/0.61 (((~![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C))))) | (constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))) <=> ((~![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.37/0.62 inference(transitivity,[status(thm)],[113, 111])).
% 0.37/0.62 tff(115,plain,
% 0.37/0.62 ((~![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C))))) | (constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.37/0.62 inference(quant_inst,[status(thm)],[])).
% 0.37/0.62 tff(116,plain,
% 0.37/0.62 ((~![B: $i, C: $i] : (constant(B) | increases(C) | decreases(C) | (~constant(sum(B, C))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[115, 114])).
% 0.37/0.62 tff(117,plain,
% 0.37/0.62 (decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.37/0.62 inference(unit_resolution,[status(thm)],[116, 110])).
% 0.37/0.62 tff(118,plain,
% 0.37/0.62 (increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))),
% 0.37/0.62 inference(unit_resolution,[status(thm)],[117, 93, 91, 92])).
% 0.37/0.62 tff(119,plain,
% 0.37/0.62 (^[B: $i, A: $i] : refl(((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B)) <=> ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B)))),
% 0.37/0.62 inference(bind,[status(th)],[])).
% 0.37/0.62 tff(120,plain,
% 0.37/0.62 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B)) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))),
% 0.37/0.62 inference(quant_intro,[status(thm)],[119])).
% 0.37/0.62 tff(121,plain,
% 0.37/0.62 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B)) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))),
% 0.37/0.62 inference(rewrite,[status(thm)],[])).
% 0.37/0.62 tff(122,plain,
% 0.37/0.62 (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~in_environment(A, B))) | subpopulation(efficient_producers, A, B)) <=> ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B)))),
% 0.37/0.62 inference(bind,[status(th)],[])).
% 0.37/0.62 tff(123,plain,
% 0.37/0.62 (![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | subpopulation(efficient_producers, A, B)) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))),
% 0.37/0.62 inference(quant_intro,[status(thm)],[122])).
% 0.37/0.62 tff(124,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | subpopulation(efficient_producers, A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_FM_and_EP_organisational_42')).
% 0.37/0.62 tff(125,plain,
% 0.37/0.62 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[124, 123])).
% 0.37/0.62 tff(126,plain,
% 0.37/0.62 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[125, 121])).
% 0.37/0.62 tff(127,plain,(
% 0.37/0.62 ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))),
% 0.37/0.62 inference(skolemize,[status(sab)],[126])).
% 0.37/0.62 tff(128,plain,
% 0.37/0.62 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[127, 120])).
% 0.37/0.62 tff(129,plain,
% 0.37/0.62 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | subpopulation(efficient_producers, sk3, sk4(sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | subpopulation(efficient_producers, sk3, sk4(sk2(sk3))))),
% 0.37/0.62 inference(rewrite,[status(thm)],[])).
% 0.37/0.62 tff(130,plain,
% 0.37/0.62 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | subpopulation(efficient_producers, sk3, sk4(sk2(sk3))))),
% 0.37/0.62 inference(quant_inst,[status(thm)],[])).
% 0.37/0.62 tff(131,plain,
% 0.37/0.62 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[130, 129])).
% 0.37/0.62 tff(132,plain,
% 0.37/0.62 (subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))),
% 0.37/0.62 inference(unit_resolution,[status(thm)],[131, 128, 7, 49])).
% 0.37/0.62 tff(133,plain,
% 0.37/0.62 (^[B: $i, A: $i] : refl(((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero)))),
% 0.37/0.62 inference(bind,[status(th)],[])).
% 0.37/0.62 tff(134,plain,
% 0.37/0.62 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))),
% 0.37/0.62 inference(quant_intro,[status(thm)],[133])).
% 0.37/0.62 tff(135,plain,
% 0.37/0.62 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))),
% 0.37/0.62 inference(rewrite,[status(thm)],[])).
% 0.37/0.62 tff(136,plain,
% 0.37/0.62 (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | greater(cardinality_at_time(efficient_producers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero)))),
% 0.37/0.62 inference(bind,[status(th)],[])).
% 0.37/0.62 tff(137,plain,
% 0.37/0.62 (![B: $i, A: $i] : (((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | greater(cardinality_at_time(efficient_producers, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))),
% 0.37/0.62 inference(quant_intro,[status(thm)],[136])).
% 0.37/0.62 tff(138,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | greater(cardinality_at_time(efficient_producers, B), zero))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_positive_number_of_organizations_55')).
% 0.37/0.62 tff(139,plain,
% 0.37/0.62 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.37/0.62 tff(140,plain,
% 0.37/0.62 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[139, 135])).
% 0.37/0.62 tff(141,plain,(
% 0.37/0.62 ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))),
% 0.37/0.62 inference(skolemize,[status(sab)],[140])).
% 0.37/0.62 tff(142,plain,
% 0.37/0.62 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))),
% 0.37/0.62 inference(modus_ponens,[status(thm)],[141, 134])).
% 0.37/0.62 tff(143,plain,
% 0.37/0.62 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.37/0.62 inference(rewrite,[status(thm)],[])).
% 0.37/0.62 tff(144,plain,
% 0.37/0.62 (((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.37/0.62 inference(rewrite,[status(thm)],[])).
% 0.37/0.62 tff(145,plain,
% 0.37/0.62 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)))),
% 0.37/0.63 inference(monotonicity,[status(thm)],[144])).
% 0.37/0.63 tff(146,plain,
% 0.37/0.63 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.37/0.63 inference(transitivity,[status(thm)],[145, 143])).
% 0.37/0.63 tff(147,plain,
% 0.37/0.63 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.37/0.63 inference(quant_inst,[status(thm)],[])).
% 0.37/0.63 tff(148,plain,
% 0.37/0.63 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.37/0.63 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.37/0.63 tff(149,plain,
% 0.37/0.63 (greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.37/0.63 inference(unit_resolution,[status(thm)],[148, 142, 7, 32])).
% 0.37/0.63 tff(150,plain,
% 0.37/0.63 (^[B: $i, A: $i, C: $i] : refl(((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B)))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B)))))),
% 0.37/0.63 inference(bind,[status(th)],[])).
% 0.37/0.63 tff(151,plain,
% 0.37/0.63 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B)))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))),
% 0.37/0.63 inference(quant_intro,[status(thm)],[150])).
% 0.37/0.63 tff(152,plain,
% 0.37/0.63 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B)))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))),
% 0.37/0.63 inference(rewrite,[status(thm)],[])).
% 0.37/0.63 tff(153,plain,
% 0.37/0.63 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) <=> ((~environment(A)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))), (((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) <=> (((~environment(A)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(C, B), zero))))), rewrite((((~environment(A)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(C, B), zero))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))), (((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))))), ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~increases(cardinality_at_time(C, B)))) <=> (((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~increases(cardinality_at_time(C, B)))))), rewrite((((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~increases(cardinality_at_time(C, B)))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | (~increases(cardinality_at_time(C, B))))), ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~increases(cardinality_at_time(C, B)))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | (~increases(cardinality_at_time(C, B)))))), (((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~increases(cardinality_at_time(C, B)))) | greater(growth_rate(C, B), zero)) <=> (((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | (~increases(cardinality_at_time(C, B)))) | greater(growth_rate(C, B), zero)))), rewrite((((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | (~increases(cardinality_at_time(C, B)))) | greater(growth_rate(C, B), zero)) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))), (((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~increases(cardinality_at_time(C, B)))) | greater(growth_rate(C, B), zero)) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))))),
% 0.37/0.63 inference(bind,[status(th)],[])).
% 0.37/0.63 tff(154,plain,
% 0.37/0.63 (![B: $i, A: $i, C: $i] : ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~increases(cardinality_at_time(C, B)))) | greater(growth_rate(C, B), zero)) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))),
% 0.37/0.63 inference(quant_intro,[status(thm)],[153])).
% 0.37/0.63 tff(155,axiom,(![B: $i, A: $i, C: $i] : ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~increases(cardinality_at_time(C, B)))) | greater(growth_rate(C, B), zero))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_growth_rate_52')).
% 0.37/0.63 tff(156,plain,
% 0.37/0.63 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))),
% 0.37/0.63 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.37/0.63 tff(157,plain,
% 0.37/0.63 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))),
% 0.37/0.63 inference(modus_ponens,[status(thm)],[156, 152])).
% 0.37/0.63 tff(158,plain,(
% 0.37/0.63 ![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))),
% 0.37/0.63 inference(skolemize,[status(sab)],[157])).
% 0.37/0.63 tff(159,plain,
% 0.37/0.63 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))),
% 0.37/0.63 inference(modus_ponens,[status(thm)],[158, 151])).
% 0.37/0.63 tff(160,plain,
% 0.37/0.63 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.37/0.63 inference(rewrite,[status(thm)],[])).
% 0.37/0.63 tff(161,plain,
% 0.37/0.63 (((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.37/0.63 inference(rewrite,[status(thm)],[])).
% 0.37/0.63 tff(162,plain,
% 0.37/0.63 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.37/0.63 inference(monotonicity,[status(thm)],[161])).
% 0.37/0.63 tff(163,plain,
% 0.37/0.63 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.37/0.64 inference(transitivity,[status(thm)],[162, 160])).
% 0.37/0.64 tff(164,plain,
% 0.37/0.64 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.37/0.64 inference(quant_inst,[status(thm)],[])).
% 0.37/0.64 tff(165,plain,
% 0.37/0.64 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.37/0.64 inference(modus_ponens,[status(thm)],[164, 163])).
% 0.37/0.64 tff(166,plain,
% 0.37/0.64 (greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.37/0.64 inference(unit_resolution,[status(thm)],[165, 159, 7, 149, 49, 132])).
% 0.37/0.64 tff(167,plain,
% 0.37/0.64 (greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.37/0.64 inference(unit_resolution,[status(thm)],[166, 118])).
% 0.37/0.64 tff(168,plain,
% 0.37/0.64 (^[B: $i, C: $i] : refl((constant(B) | decreases(C) | decreases(B) | (~constant(sum(B, C)))) <=> (constant(B) | decreases(C) | decreases(B) | (~constant(sum(B, C)))))),
% 0.37/0.64 inference(bind,[status(th)],[])).
% 0.37/0.64 tff(169,plain,
% 0.37/0.64 (![B: $i, C: $i] : (constant(B) | decreases(C) | decreases(B) | (~constant(sum(B, C)))) <=> ![B: $i, C: $i] : (constant(B) | decreases(C) | decreases(B) | (~constant(sum(B, C))))),
% 0.37/0.64 inference(quant_intro,[status(thm)],[168])).
% 0.37/0.64 tff(170,plain,
% 0.37/0.64 (![B: $i, C: $i] : (constant(B) | decreases(C) | decreases(B) | (~constant(sum(B, C)))) <=> ![B: $i, C: $i] : (constant(B) | decreases(C) | decreases(B) | (~constant(sum(B, C))))),
% 0.37/0.64 inference(rewrite,[status(thm)],[])).
% 0.37/0.64 tff(171,plain,
% 0.37/0.64 (^[B: $i, C: $i] : rewrite((decreases(C) | decreases(B) | constant(B) | (~constant(sum(B, C)))) <=> (constant(B) | decreases(C) | decreases(B) | (~constant(sum(B, C)))))),
% 0.37/0.64 inference(bind,[status(th)],[])).
% 0.37/0.64 tff(172,plain,
% 0.37/0.64 (![B: $i, C: $i] : (decreases(C) | decreases(B) | constant(B) | (~constant(sum(B, C)))) <=> ![B: $i, C: $i] : (constant(B) | decreases(C) | decreases(B) | (~constant(sum(B, C))))),
% 0.37/0.64 inference(quant_intro,[status(thm)],[171])).
% 0.37/0.64 tff(173,plain,
% 0.37/0.64 (![B: $i, A: $i, C: $i] : (decreases(C) | decreases(B) | constant(B) | (~constant(sum(B, C)))) <=> ![B: $i, C: $i] : (decreases(C) | decreases(B) | constant(B) | (~constant(sum(B, C))))),
% 0.37/0.64 inference(elim_unused_vars,[status(thm)],[])).
% 0.37/0.64 tff(174,plain,
% 0.37/0.64 (![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)) <=> ![B: $i, A: $i, C: $i] : (decreases(C) | decreases(B) | constant(B) | (~constant(sum(B, C))))),
% 0.37/0.64 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.37/0.64 tff(175,plain,
% 0.37/0.64 (![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)) <=> ![B: $i, C: $i] : (decreases(C) | decreases(B) | constant(B) | (~constant(sum(B, C))))),
% 0.37/0.64 inference(transitivity,[status(thm)],[174, 173])).
% 0.37/0.64 tff(176,plain,
% 0.37/0.64 (![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)) <=> ![B: $i, C: $i] : (constant(B) | decreases(C) | decreases(B) | (~constant(sum(B, C))))),
% 0.37/0.64 inference(transitivity,[status(thm)],[175, 172])).
% 0.37/0.64 tff(177,plain,
% 0.37/0.64 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(A = sum(B, C))) | (~constant(A))) <=> ((~constant(A)) | (~(A = sum(B, C))))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) <=> (((~constant(A)) | (~(A = sum(B, C)))) | constant(B)))), rewrite((((~constant(A)) | (~(A = sum(B, C)))) | constant(B)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C)))))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) <=> ((constant(B) | (~constant(A)) | (~(A = sum(B, C)))) | decreases(C)))), rewrite(((constant(B) | (~constant(A)) | (~(A = sum(B, C)))) | decreases(C)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) | decreases(B)) <=> ((constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)) | decreases(B)))), rewrite(((constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C)) | decreases(B)) <=> (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) | decreases(B)) <=> (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))))),
% 0.37/0.64 inference(bind,[status(th)],[])).
% 0.37/0.64 tff(178,plain,
% 0.37/0.64 (![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) | decreases(B)) <=> ![B: $i, A: $i, C: $i] : (decreases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C))),
% 0.37/0.64 inference(quant_intro,[status(thm)],[177])).
% 0.37/0.64 tff(179,plain,
% 0.37/0.64 (![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) | decreases(B)) <=> ![B: $i, C: $i] : (constant(B) | decreases(C) | decreases(B) | (~constant(sum(B, C))))),
% 0.37/0.64 inference(transitivity,[status(thm)],[178, 176])).
% 0.37/0.64 tff(180,axiom,(![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | decreases(C)) | decreases(B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_abc_sum_increase_45')).
% 0.37/0.64 tff(181,plain,
% 0.37/0.64 (![B: $i, C: $i] : (constant(B) | decreases(C) | decreases(B) | (~constant(sum(B, C))))),
% 0.37/0.64 inference(modus_ponens,[status(thm)],[180, 179])).
% 0.37/0.64 tff(182,plain,
% 0.37/0.64 (![B: $i, C: $i] : (constant(B) | decreases(C) | decreases(B) | (~constant(sum(B, C))))),
% 0.37/0.64 inference(modus_ponens,[status(thm)],[181, 170])).
% 0.37/0.64 tff(183,plain,(
% 0.37/0.64 ![B: $i, C: $i] : (constant(B) | decreases(C) | decreases(B) | (~constant(sum(B, C))))),
% 0.37/0.64 inference(skolemize,[status(sab)],[182])).
% 0.37/0.64 tff(184,plain,
% 0.37/0.64 (![B: $i, C: $i] : (constant(B) | decreases(C) | decreases(B) | (~constant(sum(B, C))))),
% 0.37/0.64 inference(modus_ponens,[status(thm)],[183, 169])).
% 0.37/0.64 tff(185,plain,
% 0.37/0.64 (((~![B: $i, C: $i] : (constant(B) | decreases(C) | decreases(B) | (~constant(sum(B, C))))) | (constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))) <=> ((~![B: $i, C: $i] : (constant(B) | decreases(C) | decreases(B) | (~constant(sum(B, C))))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.37/0.64 inference(rewrite,[status(thm)],[])).
% 0.37/0.64 tff(186,plain,
% 0.37/0.64 ((~![B: $i, C: $i] : (constant(B) | decreases(C) | decreases(B) | (~constant(sum(B, C))))) | (constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.37/0.64 inference(quant_inst,[status(thm)],[])).
% 0.37/0.64 tff(187,plain,
% 0.37/0.64 ((~![B: $i, C: $i] : (constant(B) | decreases(C) | decreases(B) | (~constant(sum(B, C))))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.37/0.64 inference(modus_ponens,[status(thm)],[186, 185])).
% 0.37/0.64 tff(188,plain,
% 0.37/0.64 (constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.37/0.64 inference(unit_resolution,[status(thm)],[187, 184])).
% 0.37/0.64 tff(189,plain,
% 0.37/0.64 (decreases(cardinality_at_time(first_movers, sk4(sk2(sk3))))),
% 0.37/0.64 inference(unit_resolution,[status(thm)],[188, 93, 91, 92])).
% 0.37/0.64 tff(190,plain,
% 0.37/0.64 (^[B: $i, A: $i] : refl(((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero)))),
% 0.37/0.64 inference(bind,[status(th)],[])).
% 0.37/0.64 tff(191,plain,
% 0.37/0.64 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))),
% 0.37/0.64 inference(quant_intro,[status(thm)],[190])).
% 0.37/0.64 tff(192,plain,
% 0.37/0.64 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))),
% 0.37/0.64 inference(rewrite,[status(thm)],[])).
% 0.37/0.64 tff(193,plain,
% 0.37/0.64 (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | greater(cardinality_at_time(first_movers, B), zero)) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero)))),
% 0.37/0.64 inference(bind,[status(th)],[])).
% 0.37/0.64 tff(194,plain,
% 0.37/0.64 (![B: $i, A: $i] : (((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | greater(cardinality_at_time(first_movers, B), zero)) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))),
% 0.37/0.64 inference(quant_intro,[status(thm)],[193])).
% 0.37/0.64 tff(195,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, B))) | greater(cardinality_at_time(first_movers, B), zero))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_positive_number_of_organizations_54')).
% 0.37/0.65 tff(196,plain,
% 0.37/0.65 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))),
% 0.37/0.65 inference(modus_ponens,[status(thm)],[195, 194])).
% 0.37/0.65 tff(197,plain,
% 0.37/0.65 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))),
% 0.37/0.65 inference(modus_ponens,[status(thm)],[196, 192])).
% 0.37/0.65 tff(198,plain,(
% 0.37/0.65 ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))),
% 0.37/0.65 inference(skolemize,[status(sab)],[197])).
% 0.37/0.65 tff(199,plain,
% 0.37/0.65 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))),
% 0.37/0.65 inference(modus_ponens,[status(thm)],[198, 191])).
% 0.37/0.65 tff(200,plain,
% 0.37/0.65 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero))),
% 0.37/0.65 inference(rewrite,[status(thm)],[])).
% 0.37/0.65 tff(201,plain,
% 0.37/0.65 (((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero))),
% 0.37/0.65 inference(rewrite,[status(thm)],[])).
% 0.37/0.65 tff(202,plain,
% 0.37/0.65 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)))),
% 0.37/0.65 inference(monotonicity,[status(thm)],[201])).
% 0.37/0.65 tff(203,plain,
% 0.37/0.65 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero))),
% 0.37/0.65 inference(transitivity,[status(thm)],[202, 200])).
% 0.37/0.65 tff(204,plain,
% 0.37/0.65 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero))),
% 0.37/0.65 inference(quant_inst,[status(thm)],[])).
% 0.37/0.65 tff(205,plain,
% 0.37/0.65 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)),
% 0.41/0.65 inference(modus_ponens,[status(thm)],[204, 203])).
% 0.41/0.65 tff(206,plain,
% 0.41/0.65 (greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)),
% 0.41/0.65 inference(unit_resolution,[status(thm)],[205, 199, 7, 32])).
% 0.41/0.65 tff(207,plain,
% 0.41/0.65 (^[B: $i, A: $i, C: $i] : refl(((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B)))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B)))))),
% 0.41/0.65 inference(bind,[status(th)],[])).
% 0.41/0.65 tff(208,plain,
% 0.41/0.65 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B)))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))),
% 0.41/0.65 inference(quant_intro,[status(thm)],[207])).
% 0.41/0.65 tff(209,plain,
% 0.41/0.65 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B)))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))),
% 0.41/0.65 inference(rewrite,[status(thm)],[])).
% 0.41/0.65 tff(210,plain,
% 0.41/0.65 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) <=> ((~environment(A)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))), (((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) <=> (((~environment(A)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(C, B), zero))))), rewrite((((~environment(A)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(C, B), zero))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))), (((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))))), ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~decreases(cardinality_at_time(C, B)))) <=> (((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~decreases(cardinality_at_time(C, B)))))), rewrite((((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~decreases(cardinality_at_time(C, B)))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | (~decreases(cardinality_at_time(C, B))))), ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~decreases(cardinality_at_time(C, B)))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | (~decreases(cardinality_at_time(C, B)))))), (((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~decreases(cardinality_at_time(C, B)))) | greater(zero, growth_rate(C, B))) <=> (((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | (~decreases(cardinality_at_time(C, B)))) | greater(zero, growth_rate(C, B))))), rewrite((((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | (~decreases(cardinality_at_time(C, B)))) | greater(zero, growth_rate(C, B))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))), (((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~decreases(cardinality_at_time(C, B)))) | greater(zero, growth_rate(C, B))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))))),
% 0.41/0.65 inference(bind,[status(th)],[])).
% 0.41/0.65 tff(211,plain,
% 0.41/0.65 (![B: $i, A: $i, C: $i] : ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~decreases(cardinality_at_time(C, B)))) | greater(zero, growth_rate(C, B))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))),
% 0.41/0.65 inference(quant_intro,[status(thm)],[210])).
% 0.41/0.65 tff(212,axiom,(![B: $i, A: $i, C: $i] : ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~decreases(cardinality_at_time(C, B)))) | greater(zero, growth_rate(C, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_growth_rate_53')).
% 0.41/0.65 tff(213,plain,
% 0.41/0.65 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))),
% 0.41/0.65 inference(modus_ponens,[status(thm)],[212, 211])).
% 0.41/0.65 tff(214,plain,
% 0.41/0.65 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))),
% 0.41/0.65 inference(modus_ponens,[status(thm)],[213, 209])).
% 0.41/0.65 tff(215,plain,(
% 0.41/0.65 ![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))),
% 0.41/0.65 inference(skolemize,[status(sab)],[214])).
% 0.41/0.65 tff(216,plain,
% 0.41/0.65 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))),
% 0.41/0.65 inference(modus_ponens,[status(thm)],[215, 208])).
% 0.41/0.65 tff(217,plain,
% 0.41/0.65 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.41/0.66 inference(rewrite,[status(thm)],[])).
% 0.41/0.66 tff(218,plain,
% 0.41/0.66 (((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))))) <=> ((~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.41/0.66 inference(rewrite,[status(thm)],[])).
% 0.41/0.66 tff(219,plain,
% 0.41/0.66 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))))))),
% 0.41/0.66 inference(monotonicity,[status(thm)],[218])).
% 0.41/0.66 tff(220,plain,
% 0.41/0.66 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.41/0.66 inference(transitivity,[status(thm)],[219, 217])).
% 0.41/0.66 tff(221,plain,
% 0.41/0.66 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.41/0.66 inference(quant_inst,[status(thm)],[])).
% 0.41/0.66 tff(222,plain,
% 0.41/0.66 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))))),
% 0.41/0.66 inference(modus_ponens,[status(thm)],[221, 220])).
% 0.41/0.66 tff(223,plain,
% 0.41/0.66 (greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))))),
% 0.41/0.66 inference(unit_resolution,[status(thm)],[222, 216, 7, 206, 49, 63])).
% 0.41/0.66 tff(224,plain,
% 0.41/0.66 (greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))),
% 0.41/0.66 inference(unit_resolution,[status(thm)],[223, 189])).
% 0.41/0.66 tff(225,plain,
% 0.41/0.66 (^[A: $i] : refl(((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A)))) <=> ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A)))))),
% 0.41/0.66 inference(bind,[status(th)],[])).
% 0.41/0.66 tff(226,plain,
% 0.41/0.66 (![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A)))) <=> ![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))),
% 0.41/0.66 inference(quant_intro,[status(thm)],[225])).
% 0.41/0.66 tff(227,plain,
% 0.41/0.66 (![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A)))) <=> ![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))),
% 0.41/0.66 inference(rewrite,[status(thm)],[])).
% 0.41/0.66 tff(228,axiom,(![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_t4_80')).
% 0.41/0.66 tff(229,plain,
% 0.41/0.66 (![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))),
% 0.41/0.66 inference(modus_ponens,[status(thm)],[228, 227])).
% 0.41/0.66 tff(230,plain,(
% 0.41/0.66 ![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))),
% 0.41/0.66 inference(skolemize,[status(sab)],[229])).
% 0.41/0.66 tff(231,plain,
% 0.41/0.66 (![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))),
% 0.41/0.66 inference(modus_ponens,[status(thm)],[230, 226])).
% 0.41/0.66 tff(232,plain,
% 0.41/0.66 (((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | ((~in_environment(sk3, sk2(sk3))) | (~outcompetes(efficient_producers, first_movers, sk4(sk2(sk3)))))) <=> ((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | (~in_environment(sk3, sk2(sk3))) | (~outcompetes(efficient_producers, first_movers, sk4(sk2(sk3)))))),
% 0.41/0.66 inference(rewrite,[status(thm)],[])).
% 0.41/0.66 tff(233,plain,
% 0.41/0.66 ((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | ((~in_environment(sk3, sk2(sk3))) | (~outcompetes(efficient_producers, first_movers, sk4(sk2(sk3)))))),
% 0.41/0.66 inference(quant_inst,[status(thm)],[])).
% 0.41/0.66 tff(234,plain,
% 0.41/0.66 ((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | (~in_environment(sk3, sk2(sk3))) | (~outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))))),
% 0.41/0.66 inference(modus_ponens,[status(thm)],[233, 232])).
% 0.41/0.66 tff(235,plain,
% 0.41/0.66 (~outcompetes(efficient_producers, first_movers, sk4(sk2(sk3)))),
% 0.41/0.66 inference(unit_resolution,[status(thm)],[234, 231, 21])).
% 0.41/0.66 tff(236,plain,
% 0.41/0.66 (^[B: $i, D: $i, A: $i, C: $i] : refl(((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D))) <=> ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D))))),
% 0.41/0.66 inference(bind,[status(th)],[])).
% 0.41/0.66 tff(237,plain,
% 0.41/0.66 (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D))) <=> ![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))),
% 0.41/0.67 inference(quant_intro,[status(thm)],[236])).
% 0.41/0.67 tff(238,plain,
% 0.41/0.67 (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D))) <=> ![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))),
% 0.41/0.67 inference(rewrite,[status(thm)],[])).
% 0.41/0.67 tff(239,plain,
% 0.41/0.67 (^[B: $i, D: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater_or_equal(growth_rate(C, D), zero))) <=> ((~environment(A)) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))), (((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater_or_equal(growth_rate(C, D), zero))) | (~greater(zero, growth_rate(B, D)))) <=> (((~environment(A)) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D))) | (~greater(zero, growth_rate(B, D)))))), rewrite((((~environment(A)) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D))) | (~greater(zero, growth_rate(B, D)))) <=> ((~environment(A)) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))), (((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater_or_equal(growth_rate(C, D), zero))) | (~greater(zero, growth_rate(B, D)))) <=> ((~environment(A)) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D))))), ((((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater_or_equal(growth_rate(C, D), zero))) | (~greater(zero, growth_rate(B, D)))) | outcompetes(C, B, D)) <=> (((~environment(A)) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D))) | outcompetes(C, B, D)))), rewrite((((~environment(A)) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D))) | outcompetes(C, B, D)) <=> ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))), ((((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater_or_equal(growth_rate(C, D), zero))) | (~greater(zero, growth_rate(B, D)))) | outcompetes(C, B, D)) <=> ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))))),
% 0.41/0.67 inference(bind,[status(th)],[])).
% 0.41/0.67 tff(240,plain,
% 0.41/0.67 (![B: $i, D: $i, A: $i, C: $i] : (((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater_or_equal(growth_rate(C, D), zero))) | (~greater(zero, growth_rate(B, D)))) | outcompetes(C, B, D)) <=> ![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))),
% 0.41/0.67 inference(quant_intro,[status(thm)],[239])).
% 0.41/0.67 tff(241,axiom,(![B: $i, D: $i, A: $i, C: $i] : (((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater_or_equal(growth_rate(C, D), zero))) | (~greater(zero, growth_rate(B, D)))) | outcompetes(C, B, D))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d2_64')).
% 0.41/0.67 tff(242,plain,
% 0.41/0.67 (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))),
% 0.41/0.67 inference(modus_ponens,[status(thm)],[241, 240])).
% 0.41/0.67 tff(243,plain,
% 0.41/0.67 (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))),
% 0.41/0.67 inference(modus_ponens,[status(thm)],[242, 238])).
% 0.41/0.67 tff(244,plain,(
% 0.41/0.67 ![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))),
% 0.41/0.67 inference(skolemize,[status(sab)],[243])).
% 0.41/0.67 tff(245,plain,
% 0.41/0.67 (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))),
% 0.41/0.67 inference(modus_ponens,[status(thm)],[244, 237])).
% 0.41/0.67 tff(246,plain,
% 0.41/0.67 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | (~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)))),
% 0.41/0.67 inference(rewrite,[status(thm)],[])).
% 0.41/0.67 tff(247,plain,
% 0.41/0.67 (((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3))))) <=> ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)))),
% 0.41/0.67 inference(rewrite,[status(thm)],[])).
% 0.41/0.67 tff(248,plain,
% 0.41/0.67 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero))))),
% 0.41/0.67 inference(monotonicity,[status(thm)],[247])).
% 0.41/0.67 tff(249,plain,
% 0.41/0.67 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | (~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)))),
% 0.41/0.68 inference(transitivity,[status(thm)],[248, 246])).
% 0.41/0.68 tff(250,plain,
% 0.41/0.68 ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))))),
% 0.41/0.68 inference(quant_inst,[status(thm)],[])).
% 0.41/0.68 tff(251,plain,
% 0.41/0.68 ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | (~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk2(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.41/0.68 inference(modus_ponens,[status(thm)],[250, 249])).
% 0.41/0.68 tff(252,plain,
% 0.41/0.68 ((~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.41/0.68 inference(unit_resolution,[status(thm)],[251, 245, 7, 235, 32])).
% 0.41/0.68 tff(253,plain,
% 0.41/0.68 (~greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.41/0.68 inference(unit_resolution,[status(thm)],[252, 224])).
% 0.41/0.68 tff(254,plain,
% 0.41/0.68 (^[B: $i, A: $i] : refl(((~greater(A, B)) | greater_or_equal(A, B)) <=> ((~greater(A, B)) | greater_or_equal(A, B)))),
% 0.41/0.68 inference(bind,[status(th)],[])).
% 0.41/0.68 tff(255,plain,
% 0.41/0.68 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.41/0.68 inference(quant_intro,[status(thm)],[254])).
% 0.41/0.68 tff(256,plain,
% 0.41/0.68 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.41/0.68 inference(rewrite,[status(thm)],[])).
% 0.41/0.68 tff(257,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_greater_or_equal_61')).
% 0.41/0.68 tff(258,plain,
% 0.41/0.68 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.41/0.68 inference(modus_ponens,[status(thm)],[257, 256])).
% 0.41/0.68 tff(259,plain,(
% 0.41/0.68 ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.41/0.68 inference(skolemize,[status(sab)],[258])).
% 0.41/0.68 tff(260,plain,
% 0.41/0.68 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.41/0.68 inference(modus_ponens,[status(thm)],[259, 255])).
% 0.41/0.68 tff(261,plain,
% 0.41/0.68 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.41/0.68 inference(rewrite,[status(thm)],[])).
% 0.41/0.68 tff(262,plain,
% 0.41/0.68 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.41/0.68 inference(quant_inst,[status(thm)],[])).
% 0.41/0.68 tff(263,plain,
% 0.41/0.68 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.41/0.68 inference(modus_ponens,[status(thm)],[262, 261])).
% 0.41/0.68 tff(264,plain,
% 0.41/0.68 ($false),
% 0.41/0.68 inference(unit_resolution,[status(thm)],[263, 260, 253, 167])).
% 0.41/0.68 tff(265,plain,(constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))), inference(lemma,lemma(discharge,[]))).
% 0.41/0.68 tff(266,plain,
% 0.41/0.68 (constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))),
% 0.41/0.68 inference(unit_resolution,[status(thm)],[265, 92, 91])).
% 0.41/0.68 tff(267,plain,
% 0.41/0.68 (^[B: $i, A: $i, C: $i] : refl(((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) <=> ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))))),
% 0.41/0.68 inference(bind,[status(th)],[])).
% 0.41/0.68 tff(268,plain,
% 0.41/0.68 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))),
% 0.41/0.68 inference(quant_intro,[status(thm)],[267])).
% 0.41/0.68 tff(269,plain,
% 0.41/0.68 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))),
% 0.41/0.68 inference(rewrite,[status(thm)],[])).
% 0.41/0.68 tff(270,plain,
% 0.41/0.68 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) <=> ((~environment(A)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))), (((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) <=> (((~environment(A)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(C, B), zero))))), rewrite((((~environment(A)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(C, B), zero))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))), (((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) <=> ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))))), ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~constant(cardinality_at_time(C, B)))) <=> (((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~constant(cardinality_at_time(C, B)))))), rewrite((((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (~constant(cardinality_at_time(C, B)))) <=> ((~environment(A)) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))), ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~constant(cardinality_at_time(C, B)))) <=> ((~environment(A)) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))))), (((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~constant(cardinality_at_time(C, B)))) | (growth_rate(C, B) = zero)) <=> (((~environment(A)) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (growth_rate(C, B) = zero)))), rewrite((((~environment(A)) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B))) | (growth_rate(C, B) = zero)) <=> ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))), (((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~constant(cardinality_at_time(C, B)))) | (growth_rate(C, B) = zero)) <=> ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))))),
% 0.41/0.68 inference(bind,[status(th)],[])).
% 0.41/0.68 tff(271,plain,
% 0.41/0.68 (![B: $i, A: $i, C: $i] : ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~constant(cardinality_at_time(C, B)))) | (growth_rate(C, B) = zero)) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))),
% 0.41/0.68 inference(quant_intro,[status(thm)],[270])).
% 0.41/0.68 tff(272,axiom,(![B: $i, A: $i, C: $i] : ((((((~environment(A)) | (~in_environment(A, B))) | (~subpopulation(C, A, B))) | (~greater(cardinality_at_time(C, B), zero))) | (~constant(cardinality_at_time(C, B)))) | (growth_rate(C, B) = zero))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_growth_rate_51')).
% 0.41/0.68 tff(273,plain,
% 0.41/0.68 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))),
% 0.41/0.68 inference(modus_ponens,[status(thm)],[272, 271])).
% 0.41/0.68 tff(274,plain,
% 0.41/0.68 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))),
% 0.41/0.68 inference(modus_ponens,[status(thm)],[273, 269])).
% 0.41/0.68 tff(275,plain,(
% 0.41/0.68 ![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))),
% 0.41/0.68 inference(skolemize,[status(sab)],[274])).
% 0.41/0.68 tff(276,plain,
% 0.41/0.68 (![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))),
% 0.41/0.68 inference(modus_ponens,[status(thm)],[275, 268])).
% 0.41/0.68 tff(277,plain,
% 0.41/0.68 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.41/0.69 inference(rewrite,[status(thm)],[])).
% 0.41/0.69 tff(278,plain,
% 0.41/0.69 (((~environment(sk3)) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.41/0.69 inference(rewrite,[status(thm)],[])).
% 0.41/0.69 tff(279,plain,
% 0.41/0.69 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))))))),
% 0.41/0.69 inference(monotonicity,[status(thm)],[278])).
% 0.41/0.69 tff(280,plain,
% 0.41/0.69 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.41/0.69 inference(transitivity,[status(thm)],[279, 277])).
% 0.41/0.69 tff(281,plain,
% 0.41/0.69 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))))),
% 0.41/0.69 inference(quant_inst,[status(thm)],[])).
% 0.41/0.69 tff(282,plain,
% 0.41/0.69 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))))),
% 0.41/0.69 inference(modus_ponens,[status(thm)],[281, 280])).
% 0.41/0.69 tff(283,plain,
% 0.41/0.69 ((growth_rate(first_movers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))))),
% 0.41/0.69 inference(unit_resolution,[status(thm)],[282, 276, 7, 206, 49, 63])).
% 0.41/0.69 tff(284,plain,
% 0.41/0.69 (growth_rate(first_movers, sk4(sk2(sk3))) = zero),
% 0.41/0.69 inference(unit_resolution,[status(thm)],[283, 266])).
% 0.41/0.69 tff(285,plain,
% 0.41/0.69 (zero = growth_rate(first_movers, sk4(sk2(sk3)))),
% 0.41/0.69 inference(symmetry,[status(thm)],[284])).
% 0.41/0.69 tff(286,plain,
% 0.41/0.69 (greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) <=> greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.41/0.69 inference(monotonicity,[status(thm)],[284])).
% 0.41/0.69 tff(287,plain,
% 0.41/0.69 (^[A: $i] : refl(((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A)) <=> ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A)))),
% 0.41/0.69 inference(bind,[status(th)],[])).
% 0.41/0.69 tff(288,plain,
% 0.41/0.69 (![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A)) <=> ![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))),
% 0.41/0.69 inference(quant_intro,[status(thm)],[287])).
% 0.41/0.69 tff(289,plain,
% 0.41/0.69 (![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A)) <=> ![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))),
% 0.41/0.69 inference(rewrite,[status(thm)],[])).
% 0.41/0.69 tff(290,axiom,(![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_t4_79')).
% 0.41/0.69 tff(291,plain,
% 0.41/0.69 (![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))),
% 0.41/0.69 inference(modus_ponens,[status(thm)],[290, 289])).
% 0.41/0.69 tff(292,plain,(
% 0.41/0.69 ![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))),
% 0.41/0.69 inference(skolemize,[status(sab)],[291])).
% 0.41/0.69 tff(293,plain,
% 0.41/0.69 (![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))),
% 0.41/0.69 inference(modus_ponens,[status(thm)],[292, 288])).
% 0.41/0.69 tff(294,plain,
% 0.41/0.69 (((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | ((~in_environment(sk3, sk2(sk3))) | greater_or_equal(sk4(sk2(sk3)), sk2(sk3)))) <=> ((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | (~in_environment(sk3, sk2(sk3))) | greater_or_equal(sk4(sk2(sk3)), sk2(sk3)))),
% 0.41/0.69 inference(rewrite,[status(thm)],[])).
% 0.41/0.69 tff(295,plain,
% 0.41/0.69 ((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | ((~in_environment(sk3, sk2(sk3))) | greater_or_equal(sk4(sk2(sk3)), sk2(sk3)))),
% 0.41/0.69 inference(quant_inst,[status(thm)],[])).
% 0.41/0.69 tff(296,plain,
% 0.41/0.69 ((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | (~in_environment(sk3, sk2(sk3))) | greater_or_equal(sk4(sk2(sk3)), sk2(sk3))),
% 0.41/0.69 inference(modus_ponens,[status(thm)],[295, 294])).
% 0.41/0.69 tff(297,plain,
% 0.41/0.69 (greater_or_equal(sk4(sk2(sk3)), sk2(sk3))),
% 0.41/0.69 inference(unit_resolution,[status(thm)],[296, 293, 21])).
% 0.41/0.69 tff(298,plain,
% 0.41/0.69 (^[B: $i, A: $i] : refl(((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A)))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A)))))),
% 0.41/0.69 inference(bind,[status(th)],[])).
% 0.41/0.69 tff(299,plain,
% 0.41/0.69 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A)))) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))),
% 0.41/0.69 inference(quant_intro,[status(thm)],[298])).
% 0.41/0.69 tff(300,plain,
% 0.41/0.69 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A)))) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))),
% 0.41/0.69 inference(rewrite,[status(thm)],[])).
% 0.41/0.69 tff(301,plain,
% 0.41/0.69 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~stable(A))) | (~subpopulations(first_movers, efficient_producers, A, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)))), (((((~environment(A)) | (~stable(A))) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~greater_or_equal(B, sk2(A)))) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A))) | (~greater_or_equal(B, sk2(A)))))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A))) | (~greater_or_equal(B, sk2(A)))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | (~greater_or_equal(B, sk2(A))))), (((((~environment(A)) | (~stable(A))) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~greater_or_equal(B, sk2(A)))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | (~greater_or_equal(B, sk2(A)))))), ((((((~environment(A)) | (~stable(A))) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~greater_or_equal(B, sk2(A)))) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B))) <=> (((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | (~greater_or_equal(B, sk2(A)))) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B))))), rewrite((((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | (~greater_or_equal(B, sk2(A)))) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))), ((((((~environment(A)) | (~stable(A))) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~greater_or_equal(B, sk2(A)))) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B))) <=> ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))))),
% 0.41/0.69 inference(bind,[status(th)],[])).
% 0.41/0.69 tff(302,plain,
% 0.41/0.69 (![B: $i, A: $i] : (((((~environment(A)) | (~stable(A))) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~greater_or_equal(B, sk2(A)))) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B))) <=> ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))),
% 0.41/0.69 inference(quant_intro,[status(thm)],[301])).
% 0.41/0.69 tff(303,axiom,(![B: $i, A: $i] : (((((~environment(A)) | (~stable(A))) | (~subpopulations(first_movers, efficient_producers, A, B))) | (~greater_or_equal(B, sk2(A)))) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','l1_75')).
% 0.41/0.69 tff(304,plain,
% 0.41/0.69 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))),
% 0.41/0.69 inference(modus_ponens,[status(thm)],[303, 302])).
% 0.41/0.69 tff(305,plain,
% 0.41/0.69 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))),
% 0.46/0.70 inference(modus_ponens,[status(thm)],[304, 300])).
% 0.46/0.70 tff(306,plain,(
% 0.46/0.70 ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))),
% 0.46/0.70 inference(skolemize,[status(sab)],[305])).
% 0.46/0.70 tff(307,plain,
% 0.46/0.70 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))),
% 0.46/0.70 inference(modus_ponens,[status(thm)],[306, 299])).
% 0.46/0.70 tff(308,plain,
% 0.46/0.70 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | (~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))),
% 0.46/0.70 inference(rewrite,[status(thm)],[])).
% 0.46/0.70 tff(309,plain,
% 0.46/0.70 (((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3)))) <=> ((~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))),
% 0.46/0.70 inference(rewrite,[status(thm)],[])).
% 0.46/0.70 tff(310,plain,
% 0.46/0.70 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3)))))),
% 0.46/0.70 inference(monotonicity,[status(thm)],[309])).
% 0.46/0.70 tff(311,plain,
% 0.46/0.70 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | (~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))),
% 0.46/0.70 inference(transitivity,[status(thm)],[310, 308])).
% 0.46/0.70 tff(312,plain,
% 0.46/0.70 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))),
% 0.46/0.70 inference(quant_inst,[status(thm)],[])).
% 0.46/0.70 tff(313,plain,
% 0.46/0.70 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | (~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3)))),
% 0.46/0.70 inference(modus_ponens,[status(thm)],[312, 311])).
% 0.46/0.70 tff(314,plain,
% 0.46/0.70 (greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))),
% 0.46/0.70 inference(unit_resolution,[status(thm)],[313, 307, 7, 4, 32, 297])).
% 0.46/0.70 tff(315,plain,
% 0.46/0.70 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))) | greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))) | greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))))),
% 0.46/0.70 inference(rewrite,[status(thm)],[])).
% 0.46/0.70 tff(316,plain,
% 0.46/0.70 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))) | greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))))),
% 0.46/0.70 inference(quant_inst,[status(thm)],[])).
% 0.46/0.70 tff(317,plain,
% 0.46/0.70 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))) | greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))),
% 0.46/0.70 inference(modus_ponens,[status(thm)],[316, 315])).
% 0.46/0.70 tff(318,plain,
% 0.46/0.70 (greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))),
% 0.46/0.70 inference(unit_resolution,[status(thm)],[317, 260, 314])).
% 0.46/0.70 tff(319,plain,
% 0.46/0.70 (greater_or_equal(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.46/0.70 inference(modus_ponens,[status(thm)],[318, 286])).
% 0.46/0.70 tff(320,plain,
% 0.46/0.70 (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))),
% 0.46/0.70 inference(unit_resolution,[status(thm)],[252, 319])).
% 0.46/0.70 tff(321,plain,
% 0.46/0.70 (~decreases(cardinality_at_time(first_movers, sk4(sk2(sk3))))),
% 0.46/0.70 inference(unit_resolution,[status(thm)],[223, 320])).
% 0.46/0.70 tff(322,plain,
% 0.46/0.70 (^[B: $i, C: $i] : refl((decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C)))) <=> (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C)))))),
% 0.46/0.70 inference(bind,[status(th)],[])).
% 0.46/0.70 tff(323,plain,
% 0.46/0.70 (![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C)))) <=> ![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))),
% 0.46/0.71 inference(quant_intro,[status(thm)],[322])).
% 0.46/0.71 tff(324,plain,
% 0.46/0.71 (![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C)))) <=> ![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))),
% 0.46/0.71 inference(rewrite,[status(thm)],[])).
% 0.46/0.71 tff(325,plain,
% 0.46/0.71 (^[B: $i, C: $i] : rewrite((constant(C) | decreases(B) | (~constant(sum(B, C))) | decreases(C)) <=> (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C)))))),
% 0.46/0.71 inference(bind,[status(th)],[])).
% 0.46/0.71 tff(326,plain,
% 0.46/0.71 (![B: $i, C: $i] : (constant(C) | decreases(B) | (~constant(sum(B, C))) | decreases(C)) <=> ![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))),
% 0.46/0.71 inference(quant_intro,[status(thm)],[325])).
% 0.46/0.71 tff(327,plain,
% 0.46/0.71 (![B: $i, A: $i, C: $i] : (constant(C) | decreases(B) | (~constant(sum(B, C))) | decreases(C)) <=> ![B: $i, C: $i] : (constant(C) | decreases(B) | (~constant(sum(B, C))) | decreases(C))),
% 0.46/0.71 inference(elim_unused_vars,[status(thm)],[])).
% 0.46/0.71 tff(328,plain,
% 0.46/0.71 (![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C)) <=> ![B: $i, A: $i, C: $i] : (constant(C) | decreases(B) | (~constant(sum(B, C))) | decreases(C))),
% 0.46/0.71 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.46/0.71 tff(329,plain,
% 0.46/0.71 (![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C)) <=> ![B: $i, C: $i] : (constant(C) | decreases(B) | (~constant(sum(B, C))) | decreases(C))),
% 0.46/0.71 inference(transitivity,[status(thm)],[328, 327])).
% 0.46/0.71 tff(330,plain,
% 0.46/0.71 (![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C)) <=> ![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))),
% 0.46/0.71 inference(transitivity,[status(thm)],[329, 326])).
% 0.46/0.71 tff(331,plain,
% 0.46/0.71 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(A = sum(B, C))) | (~constant(A))) <=> ((~constant(A)) | (~(A = sum(B, C))))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) <=> (((~constant(A)) | (~(A = sum(B, C)))) | constant(C)))), rewrite((((~constant(A)) | (~(A = sum(B, C)))) | constant(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | constant(C))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | constant(C)))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) <=> (((~constant(A)) | (~(A = sum(B, C))) | constant(C)) | decreases(C)))), rewrite((((~constant(A)) | (~(A = sum(B, C))) | constant(C)) | decreases(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) <=> ((~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C)))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) | decreases(B)) <=> (((~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C)) | decreases(B)))), rewrite((((~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C)) | decreases(B)) <=> (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) | decreases(B)) <=> (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))))),
% 0.46/0.71 inference(bind,[status(th)],[])).
% 0.46/0.71 tff(332,plain,
% 0.46/0.71 (![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) | decreases(B)) <=> ![B: $i, A: $i, C: $i] : (decreases(B) | (~constant(A)) | (~(A = sum(B, C))) | decreases(C) | constant(C))),
% 0.46/0.71 inference(quant_intro,[status(thm)],[331])).
% 0.46/0.71 tff(333,plain,
% 0.46/0.71 (![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) | decreases(B)) <=> ![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))),
% 0.46/0.71 inference(transitivity,[status(thm)],[332, 330])).
% 0.46/0.71 tff(334,axiom,(![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(C)) | decreases(C)) | decreases(B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_abc_sum_increase_49')).
% 0.46/0.71 tff(335,plain,
% 0.46/0.71 (![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))),
% 0.46/0.71 inference(modus_ponens,[status(thm)],[334, 333])).
% 0.46/0.71 tff(336,plain,
% 0.46/0.71 (![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))),
% 0.46/0.71 inference(modus_ponens,[status(thm)],[335, 324])).
% 0.46/0.71 tff(337,plain,(
% 0.46/0.71 ![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))),
% 0.46/0.71 inference(skolemize,[status(sab)],[336])).
% 0.46/0.71 tff(338,plain,
% 0.46/0.71 (![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))),
% 0.46/0.71 inference(modus_ponens,[status(thm)],[337, 323])).
% 0.46/0.71 tff(339,plain,
% 0.46/0.71 (((~![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))) | (decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))) <=> ((~![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.46/0.71 inference(rewrite,[status(thm)],[])).
% 0.46/0.71 tff(340,plain,
% 0.46/0.71 ((~![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))) | (decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.46/0.71 inference(quant_inst,[status(thm)],[])).
% 0.46/0.71 tff(341,plain,
% 0.46/0.71 ((~![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.46/0.71 inference(modus_ponens,[status(thm)],[340, 339])).
% 0.46/0.71 tff(342,plain,
% 0.46/0.71 (decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | decreases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.46/0.71 inference(unit_resolution,[status(thm)],[341, 338])).
% 0.46/0.71 tff(343,plain,
% 0.46/0.71 (constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))),
% 0.46/0.71 inference(unit_resolution,[status(thm)],[342, 321, 91, 92])).
% 0.46/0.71 tff(344,plain,
% 0.46/0.71 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.46/0.71 inference(rewrite,[status(thm)],[])).
% 0.46/0.71 tff(345,plain,
% 0.46/0.71 (((~environment(sk3)) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.46/0.71 inference(rewrite,[status(thm)],[])).
% 0.46/0.71 tff(346,plain,
% 0.46/0.71 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.46/0.71 inference(monotonicity,[status(thm)],[345])).
% 0.46/0.71 tff(347,plain,
% 0.46/0.71 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.46/0.71 inference(transitivity,[status(thm)],[346, 344])).
% 0.46/0.71 tff(348,plain,
% 0.46/0.71 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))))),
% 0.46/0.71 inference(quant_inst,[status(thm)],[])).
% 0.46/0.72 tff(349,plain,
% 0.46/0.72 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.46/0.72 inference(modus_ponens,[status(thm)],[348, 347])).
% 0.46/0.72 tff(350,plain,
% 0.46/0.72 ((growth_rate(efficient_producers, sk4(sk2(sk3))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.46/0.72 inference(unit_resolution,[status(thm)],[349, 276, 7, 149, 49, 132])).
% 0.46/0.72 tff(351,plain,
% 0.46/0.72 (growth_rate(efficient_producers, sk4(sk2(sk3))) = zero),
% 0.46/0.72 inference(unit_resolution,[status(thm)],[350, 343])).
% 0.46/0.72 tff(352,plain,
% 0.46/0.72 (greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) <=> greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))),
% 0.46/0.72 inference(monotonicity,[status(thm)],[351, 285])).
% 0.46/0.72 tff(353,plain,
% 0.46/0.72 (greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) <=> greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.46/0.72 inference(symmetry,[status(thm)],[352])).
% 0.46/0.72 tff(354,plain,
% 0.46/0.72 ((~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) <=> (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero))),
% 0.46/0.72 inference(monotonicity,[status(thm)],[353])).
% 0.46/0.72 tff(355,plain,
% 0.46/0.72 (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.46/0.72 inference(modus_ponens,[status(thm)],[320, 354])).
% 0.46/0.72 tff(356,plain,
% 0.46/0.72 (greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) <=> greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.46/0.72 inference(monotonicity,[status(thm)],[284])).
% 0.46/0.72 tff(357,plain,
% 0.46/0.72 (greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.46/0.72 inference(modus_ponens,[status(thm)],[314, 356])).
% 0.46/0.72 tff(358,plain,
% 0.46/0.72 ($false),
% 0.46/0.72 inference(unit_resolution,[status(thm)],[357, 355])).
% 0.46/0.72 tff(359,plain,(decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))), inference(lemma,lemma(discharge,[]))).
% 0.46/0.72 tff(360,plain,
% 0.46/0.72 (decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))),
% 0.46/0.72 inference(unit_resolution,[status(thm)],[359, 91])).
% 0.46/0.72 tff(361,plain,
% 0.46/0.72 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.46/0.72 inference(rewrite,[status(thm)],[])).
% 0.46/0.72 tff(362,plain,
% 0.46/0.72 (((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.46/0.72 inference(rewrite,[status(thm)],[])).
% 0.46/0.72 tff(363,plain,
% 0.46/0.72 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.46/0.72 inference(monotonicity,[status(thm)],[362])).
% 0.46/0.72 tff(364,plain,
% 0.46/0.72 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.46/0.72 inference(transitivity,[status(thm)],[363, 361])).
% 0.46/0.72 tff(365,plain,
% 0.46/0.72 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.46/0.72 inference(quant_inst,[status(thm)],[])).
% 0.46/0.72 tff(366,plain,
% 0.46/0.72 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(efficient_producers, sk3, sk4(sk2(sk3)))) | greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.46/0.72 inference(modus_ponens,[status(thm)],[365, 364])).
% 0.46/0.73 tff(367,plain,
% 0.46/0.73 (greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))),
% 0.46/0.73 inference(unit_resolution,[status(thm)],[366, 216, 7, 149, 49, 132])).
% 0.46/0.73 tff(368,plain,
% 0.46/0.73 (greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3))))),
% 0.46/0.73 inference(unit_resolution,[status(thm)],[367, 360])).
% 0.46/0.73 tff(369,plain,
% 0.46/0.73 (^[B: $i, A: $i] : refl(((~greater(A, B)) | (~greater(B, A))) <=> ((~greater(A, B)) | (~greater(B, A))))),
% 0.46/0.73 inference(bind,[status(th)],[])).
% 0.46/0.73 tff(370,plain,
% 0.46/0.73 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A))) <=> ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.46/0.73 inference(quant_intro,[status(thm)],[369])).
% 0.46/0.73 tff(371,plain,
% 0.46/0.73 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A))) <=> ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.46/0.73 inference(rewrite,[status(thm)],[])).
% 0.46/0.73 tff(372,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp6_2_57')).
% 0.46/0.73 tff(373,plain,
% 0.46/0.73 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.46/0.73 inference(modus_ponens,[status(thm)],[372, 371])).
% 0.46/0.73 tff(374,plain,(
% 0.46/0.73 ![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.46/0.73 inference(skolemize,[status(sab)],[373])).
% 0.46/0.73 tff(375,plain,
% 0.46/0.73 (![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))),
% 0.46/0.73 inference(modus_ponens,[status(thm)],[374, 370])).
% 0.46/0.73 tff(376,plain,
% 0.46/0.73 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | (~greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | (~greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3))))))),
% 0.46/0.73 inference(rewrite,[status(thm)],[])).
% 0.46/0.73 tff(377,plain,
% 0.46/0.73 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | (~greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3))))))),
% 0.46/0.73 inference(quant_inst,[status(thm)],[])).
% 0.46/0.73 tff(378,plain,
% 0.46/0.73 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) | (~greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))))),
% 0.46/0.73 inference(modus_ponens,[status(thm)],[377, 376])).
% 0.46/0.73 tff(379,plain,
% 0.46/0.73 (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.46/0.73 inference(unit_resolution,[status(thm)],[378, 375, 368])).
% 0.46/0.73 tff(380,plain,
% 0.46/0.73 (~increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3))))),
% 0.46/0.73 inference(unit_resolution,[status(thm)],[166, 379])).
% 0.46/0.73 tff(381,plain,
% 0.46/0.73 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.46/0.73 inference(rewrite,[status(thm)],[])).
% 0.46/0.73 tff(382,plain,
% 0.46/0.73 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B))) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.46/0.73 inference(rewrite,[status(thm)],[])).
% 0.46/0.73 tff(383,plain,
% 0.46/0.73 (^[B: $i, A: $i, C: $i] : rewrite((((~greater(A, B)) | (~greater(B, C))) | greater(A, C)) <=> (greater(A, C) | (~greater(B, C)) | (~greater(A, B))))),
% 0.46/0.73 inference(bind,[status(th)],[])).
% 0.46/0.73 tff(384,plain,
% 0.46/0.73 (![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C)) <=> ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.46/0.73 inference(quant_intro,[status(thm)],[383])).
% 0.46/0.73 tff(385,axiom,(![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_greater_transitivity_58')).
% 0.46/0.73 tff(386,plain,
% 0.46/0.73 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.46/0.73 inference(modus_ponens,[status(thm)],[385, 384])).
% 0.46/0.73 tff(387,plain,
% 0.46/0.73 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.46/0.73 inference(modus_ponens,[status(thm)],[386, 382])).
% 0.46/0.73 tff(388,plain,(
% 0.46/0.73 ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.46/0.73 inference(skolemize,[status(sab)],[387])).
% 0.46/0.73 tff(389,plain,
% 0.46/0.73 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.46/0.73 inference(modus_ponens,[status(thm)],[388, 381])).
% 0.46/0.73 tff(390,plain,
% 0.46/0.73 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3))))))),
% 0.46/0.73 inference(rewrite,[status(thm)],[])).
% 0.46/0.73 tff(391,plain,
% 0.46/0.73 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3))))))),
% 0.46/0.73 inference(quant_inst,[status(thm)],[])).
% 0.46/0.73 tff(392,plain,
% 0.46/0.73 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))) | (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk2(sk3)))))),
% 0.46/0.73 inference(modus_ponens,[status(thm)],[391, 390])).
% 0.46/0.73 tff(393,plain,
% 0.46/0.73 (greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))),
% 0.46/0.73 inference(unit_resolution,[status(thm)],[392, 389, 314, 368])).
% 0.46/0.73 tff(394,plain,
% 0.46/0.73 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)))),
% 0.46/0.73 inference(rewrite,[status(thm)],[])).
% 0.46/0.73 tff(395,plain,
% 0.46/0.73 (((~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3)))))) <=> ((~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)))),
% 0.46/0.73 inference(rewrite,[status(thm)],[])).
% 0.46/0.73 tff(396,plain,
% 0.46/0.73 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero))))),
% 0.46/0.73 inference(monotonicity,[status(thm)],[395])).
% 0.46/0.73 tff(397,plain,
% 0.46/0.73 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)))),
% 0.46/0.73 inference(transitivity,[status(thm)],[396, 394])).
% 0.46/0.73 tff(398,plain,
% 0.46/0.73 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))))),
% 0.46/0.73 inference(quant_inst,[status(thm)],[])).
% 0.46/0.73 tff(399,plain,
% 0.46/0.73 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(zero, growth_rate(first_movers, sk4(sk2(sk3))))) | (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero))),
% 0.46/0.73 inference(modus_ponens,[status(thm)],[398, 397])).
% 0.46/0.74 tff(400,plain,
% 0.46/0.74 (~greater(growth_rate(first_movers, sk4(sk2(sk3))), zero)),
% 0.46/0.74 inference(unit_resolution,[status(thm)],[399, 375, 393])).
% 0.46/0.74 tff(401,plain,
% 0.46/0.74 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.46/0.74 inference(rewrite,[status(thm)],[])).
% 0.46/0.74 tff(402,plain,
% 0.46/0.74 (((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.46/0.74 inference(rewrite,[status(thm)],[])).
% 0.46/0.74 tff(403,plain,
% 0.46/0.74 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))))))),
% 0.46/0.74 inference(monotonicity,[status(thm)],[402])).
% 0.46/0.74 tff(404,plain,
% 0.46/0.74 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.46/0.74 inference(transitivity,[status(thm)],[403, 401])).
% 0.46/0.74 tff(405,plain,
% 0.46/0.74 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))))),
% 0.46/0.74 inference(quant_inst,[status(thm)],[])).
% 0.46/0.74 tff(406,plain,
% 0.46/0.74 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | (~subpopulation(first_movers, sk3, sk4(sk2(sk3)))) | greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))))),
% 0.46/0.74 inference(modus_ponens,[status(thm)],[405, 404])).
% 0.46/0.74 tff(407,plain,
% 0.46/0.74 (greater(growth_rate(first_movers, sk4(sk2(sk3))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))))),
% 0.46/0.74 inference(unit_resolution,[status(thm)],[406, 159, 7, 206, 49, 63])).
% 0.46/0.74 tff(408,plain,
% 0.46/0.74 (~increases(cardinality_at_time(first_movers, sk4(sk2(sk3))))),
% 0.46/0.74 inference(unit_resolution,[status(thm)],[407, 400])).
% 0.46/0.74 tff(409,plain,
% 0.46/0.74 (^[B: $i, C: $i] : refl((constant(B) | increases(C) | increases(B) | (~constant(sum(B, C)))) <=> (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C)))))),
% 0.46/0.74 inference(bind,[status(th)],[])).
% 0.46/0.74 tff(410,plain,
% 0.46/0.74 (![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C)))) <=> ![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C))))),
% 0.46/0.74 inference(quant_intro,[status(thm)],[409])).
% 0.46/0.74 tff(411,plain,
% 0.46/0.74 (![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C)))) <=> ![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C))))),
% 0.46/0.74 inference(rewrite,[status(thm)],[])).
% 0.46/0.74 tff(412,plain,
% 0.46/0.74 (^[B: $i, C: $i] : rewrite((increases(C) | increases(B) | constant(B) | (~constant(sum(B, C)))) <=> (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C)))))),
% 0.46/0.74 inference(bind,[status(th)],[])).
% 0.46/0.74 tff(413,plain,
% 0.46/0.74 (![B: $i, C: $i] : (increases(C) | increases(B) | constant(B) | (~constant(sum(B, C)))) <=> ![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C))))),
% 0.46/0.74 inference(quant_intro,[status(thm)],[412])).
% 0.46/0.74 tff(414,plain,
% 0.46/0.74 (![B: $i, A: $i, C: $i] : (increases(C) | increases(B) | constant(B) | (~constant(sum(B, C)))) <=> ![B: $i, C: $i] : (increases(C) | increases(B) | constant(B) | (~constant(sum(B, C))))),
% 0.46/0.74 inference(elim_unused_vars,[status(thm)],[])).
% 0.46/0.74 tff(415,plain,
% 0.46/0.74 (![B: $i, A: $i, C: $i] : (increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C)) <=> ![B: $i, A: $i, C: $i] : (increases(C) | increases(B) | constant(B) | (~constant(sum(B, C))))),
% 0.46/0.74 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.46/0.74 tff(416,plain,
% 0.46/0.74 (![B: $i, A: $i, C: $i] : (increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C)) <=> ![B: $i, C: $i] : (increases(C) | increases(B) | constant(B) | (~constant(sum(B, C))))),
% 0.46/0.74 inference(transitivity,[status(thm)],[415, 414])).
% 0.46/0.74 tff(417,plain,
% 0.46/0.74 (![B: $i, A: $i, C: $i] : (increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C)) <=> ![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C))))),
% 0.46/0.74 inference(transitivity,[status(thm)],[416, 413])).
% 0.46/0.74 tff(418,plain,
% 0.46/0.74 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~(A = sum(B, C))) | (~constant(A))) <=> ((~constant(A)) | (~(A = sum(B, C))))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) <=> (((~constant(A)) | (~(A = sum(B, C)))) | constant(B)))), rewrite((((~constant(A)) | (~(A = sum(B, C)))) | constant(B)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C))))), ((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) <=> (constant(B) | (~constant(A)) | (~(A = sum(B, C)))))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | increases(B)) <=> ((constant(B) | (~constant(A)) | (~(A = sum(B, C)))) | increases(B)))), rewrite(((constant(B) | (~constant(A)) | (~(A = sum(B, C)))) | increases(B)) <=> (increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))))), (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | increases(B)) <=> (increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C)))))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | increases(B)) | increases(C)) <=> ((increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C)))) | increases(C)))), rewrite(((increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C)))) | increases(C)) <=> (increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C))), ((((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | increases(B)) | increases(C)) <=> (increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C))))),
% 0.46/0.74 inference(bind,[status(th)],[])).
% 0.46/0.74 tff(419,plain,
% 0.46/0.74 (![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | increases(B)) | increases(C)) <=> ![B: $i, A: $i, C: $i] : (increases(B) | constant(B) | (~constant(A)) | (~(A = sum(B, C))) | increases(C))),
% 0.46/0.74 inference(quant_intro,[status(thm)],[418])).
% 0.46/0.74 tff(420,plain,
% 0.46/0.74 (![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | increases(B)) | increases(C)) <=> ![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C))))),
% 0.46/0.74 inference(transitivity,[status(thm)],[419, 417])).
% 0.46/0.74 tff(421,axiom,(![B: $i, A: $i, C: $i] : (((((~(A = sum(B, C))) | (~constant(A))) | constant(B)) | increases(B)) | increases(C))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_abc_sum_increase_44')).
% 0.46/0.74 tff(422,plain,
% 0.46/0.74 (![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C))))),
% 0.46/0.74 inference(modus_ponens,[status(thm)],[421, 420])).
% 0.46/0.74 tff(423,plain,
% 0.46/0.74 (![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C))))),
% 0.46/0.74 inference(modus_ponens,[status(thm)],[422, 411])).
% 0.46/0.74 tff(424,plain,(
% 0.46/0.74 ![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C))))),
% 0.46/0.74 inference(skolemize,[status(sab)],[423])).
% 0.46/0.74 tff(425,plain,
% 0.46/0.74 (![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C))))),
% 0.46/0.74 inference(modus_ponens,[status(thm)],[424, 410])).
% 0.46/0.74 tff(426,plain,
% 0.46/0.74 (((~![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C))))) | (constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))) <=> ((~![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C))))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.46/0.74 inference(rewrite,[status(thm)],[])).
% 0.46/0.74 tff(427,plain,
% 0.46/0.74 ((~![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C))))) | (constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))))),
% 0.46/0.75 inference(quant_inst,[status(thm)],[])).
% 0.46/0.75 tff(428,plain,
% 0.46/0.75 ((~![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C))))) | constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.46/0.75 inference(modus_ponens,[status(thm)],[427, 426])).
% 0.46/0.75 tff(429,plain,
% 0.46/0.75 (constant(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | increases(cardinality_at_time(efficient_producers, sk4(sk2(sk3)))) | increases(cardinality_at_time(first_movers, sk4(sk2(sk3)))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3))))))),
% 0.46/0.75 inference(unit_resolution,[status(thm)],[428, 425])).
% 0.46/0.75 tff(430,plain,
% 0.46/0.75 (constant(cardinality_at_time(first_movers, sk4(sk2(sk3))))),
% 0.46/0.75 inference(unit_resolution,[status(thm)],[429, 408, 91, 380])).
% 0.46/0.75 tff(431,plain,
% 0.46/0.75 (growth_rate(first_movers, sk4(sk2(sk3))) = zero),
% 0.46/0.75 inference(unit_resolution,[status(thm)],[283, 430])).
% 0.46/0.75 tff(432,plain,
% 0.46/0.75 (greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))) <=> greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)),
% 0.46/0.75 inference(monotonicity,[status(thm)],[431])).
% 0.46/0.75 tff(433,plain,
% 0.46/0.75 (greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero) <=> greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))),
% 0.46/0.75 inference(symmetry,[status(thm)],[432])).
% 0.46/0.75 tff(434,plain,
% 0.46/0.75 ((~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), zero)) <=> (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3)))))),
% 0.46/0.75 inference(monotonicity,[status(thm)],[433])).
% 0.46/0.75 tff(435,plain,
% 0.46/0.75 (~greater(growth_rate(efficient_producers, sk4(sk2(sk3))), growth_rate(first_movers, sk4(sk2(sk3))))),
% 0.46/0.75 inference(modus_ponens,[status(thm)],[379, 434])).
% 0.46/0.75 tff(436,plain,
% 0.46/0.75 ($false),
% 0.46/0.75 inference(unit_resolution,[status(thm)],[314, 435])).
% 0.46/0.75 tff(437,plain,(~constant(sum(cardinality_at_time(first_movers, sk4(sk2(sk3))), cardinality_at_time(efficient_producers, sk4(sk2(sk3)))))), inference(lemma,lemma(discharge,[]))).
% 0.46/0.75 tff(438,plain,
% 0.46/0.75 (~constant(number_of_organizations(sk3, sk4(sk2(sk3))))),
% 0.46/0.75 inference(modus_ponens,[status(thm)],[437, 90])).
% 0.46/0.75 tff(439,plain,
% 0.46/0.75 (^[B: $i, A: $i] : refl(((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B)))) <=> ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B)))))),
% 0.46/0.75 inference(bind,[status(th)],[])).
% 0.46/0.75 tff(440,plain,
% 0.46/0.75 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B)))) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))),
% 0.46/0.75 inference(quant_intro,[status(thm)],[439])).
% 0.46/0.75 tff(441,plain,
% 0.46/0.75 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B)))) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))),
% 0.46/0.75 inference(rewrite,[status(thm)],[])).
% 0.46/0.75 tff(442,plain,
% 0.46/0.75 (^[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))) <=> ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(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(number_of_organizations(A, B)) | (~constant(resources(A, B))))))),
% 0.46/0.75 inference(bind,[status(th)],[])).
% 0.46/0.75 tff(443,plain,
% 0.46/0.75 (![B: $i, A: $i] : ((((~environment(A)) | (~in_environment(A, B))) | (~constant(resources(A, B)))) | constant(number_of_organizations(A, B))) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))),
% 0.46/0.75 inference(quant_intro,[status(thm)],[442])).
% 0.46/0.75 tff(444,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','a7_72')).
% 0.46/0.75 tff(445,plain,
% 0.46/0.75 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))),
% 0.46/0.75 inference(modus_ponens,[status(thm)],[444, 443])).
% 0.46/0.75 tff(446,plain,
% 0.46/0.75 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))),
% 0.46/0.75 inference(modus_ponens,[status(thm)],[445, 441])).
% 0.46/0.75 tff(447,plain,(
% 0.46/0.75 ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))),
% 0.46/0.75 inference(skolemize,[status(sab)],[446])).
% 0.46/0.75 tff(448,plain,
% 0.46/0.75 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))),
% 0.46/0.75 inference(modus_ponens,[status(thm)],[447, 440])).
% 0.46/0.75 tff(449,plain,
% 0.46/0.75 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(number_of_organizations(sk3, sk4(sk2(sk3)))) | (~constant(resources(sk3, sk4(sk2(sk3))))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(number_of_organizations(sk3, sk4(sk2(sk3)))) | (~constant(resources(sk3, sk4(sk2(sk3))))))),
% 0.46/0.75 inference(rewrite,[status(thm)],[])).
% 0.46/0.75 tff(450,plain,
% 0.46/0.75 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(number_of_organizations(sk3, sk4(sk2(sk3)))) | (~constant(resources(sk3, sk4(sk2(sk3))))))),
% 0.46/0.75 inference(quant_inst,[status(thm)],[])).
% 0.46/0.75 tff(451,plain,
% 0.46/0.75 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(number_of_organizations(sk3, sk4(sk2(sk3)))) | (~constant(resources(sk3, sk4(sk2(sk3)))))),
% 0.46/0.75 inference(modus_ponens,[status(thm)],[450, 449])).
% 0.46/0.75 tff(452,plain,
% 0.46/0.75 (constant(number_of_organizations(sk3, sk4(sk2(sk3)))) | (~constant(resources(sk3, sk4(sk2(sk3)))))),
% 0.46/0.75 inference(unit_resolution,[status(thm)],[451, 448, 7, 49])).
% 0.46/0.75 tff(453,plain,
% 0.46/0.75 (~constant(resources(sk3, sk4(sk2(sk3))))),
% 0.46/0.75 inference(unit_resolution,[status(thm)],[452, 438])).
% 0.46/0.75 tff(454,plain,
% 0.46/0.75 (^[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)))),
% 0.46/0.75 inference(bind,[status(th)],[])).
% 0.46/0.75 tff(455,plain,
% 0.46/0.75 (![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))),
% 0.46/0.75 inference(quant_intro,[status(thm)],[454])).
% 0.46/0.75 tff(456,plain,
% 0.46/0.75 (![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))),
% 0.46/0.75 inference(rewrite,[status(thm)],[])).
% 0.46/0.75 tff(457,plain,
% 0.46/0.75 (^[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)))),
% 0.46/0.75 inference(bind,[status(th)],[])).
% 0.46/0.75 tff(458,plain,
% 0.46/0.75 (![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))),
% 0.46/0.75 inference(quant_intro,[status(thm)],[457])).
% 0.46/0.75 tff(459,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_environment_not_empty_37')).
% 0.46/0.75 tff(460,plain,
% 0.46/0.75 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))),
% 0.46/0.75 inference(modus_ponens,[status(thm)],[459, 458])).
% 0.46/0.75 tff(461,plain,
% 0.46/0.75 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))),
% 0.46/0.75 inference(modus_ponens,[status(thm)],[460, 456])).
% 0.46/0.75 tff(462,plain,(
% 0.46/0.75 ![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))),
% 0.46/0.75 inference(skolemize,[status(sab)],[461])).
% 0.46/0.75 tff(463,plain,
% 0.46/0.75 (![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))),
% 0.46/0.75 inference(modus_ponens,[status(thm)],[462, 455])).
% 0.46/0.75 tff(464,plain,
% 0.46/0.75 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero))),
% 0.46/0.75 inference(rewrite,[status(thm)],[])).
% 0.46/0.75 tff(465,plain,
% 0.46/0.75 (((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero))),
% 0.46/0.75 inference(rewrite,[status(thm)],[])).
% 0.46/0.75 tff(466,plain,
% 0.46/0.75 (((~![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, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)))),
% 0.46/0.76 inference(monotonicity,[status(thm)],[465])).
% 0.46/0.76 tff(467,plain,
% 0.46/0.76 (((~![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, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero))),
% 0.46/0.76 inference(transitivity,[status(thm)],[466, 464])).
% 0.46/0.76 tff(468,plain,
% 0.46/0.76 ((~![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, sk3, sk4(sk2(sk3)))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero))),
% 0.46/0.76 inference(quant_inst,[status(thm)],[])).
% 0.46/0.76 tff(469,plain,
% 0.46/0.76 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk2(sk3)))) | greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)),
% 0.46/0.76 inference(modus_ponens,[status(thm)],[468, 467])).
% 0.46/0.76 tff(470,plain,
% 0.46/0.76 (greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)),
% 0.46/0.76 inference(unit_resolution,[status(thm)],[469, 463, 7, 32])).
% 0.46/0.76 tff(471,plain,
% 0.46/0.76 (^[B: $i, A: $i] : refl(((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero))) <=> ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero))))),
% 0.46/0.76 inference(bind,[status(th)],[])).
% 0.46/0.76 tff(472,plain,
% 0.46/0.76 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero))) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))),
% 0.46/0.76 inference(quant_intro,[status(thm)],[471])).
% 0.46/0.76 tff(473,plain,
% 0.46/0.76 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero))) <=> ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))),
% 0.46/0.76 inference(rewrite,[status(thm)],[])).
% 0.46/0.76 tff(474,plain,
% 0.46/0.76 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) <=> ((~environment(A)) | (~in_environment(A, B)) | (~greater(number_of_organizations(A, B), zero)))), (((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)) <=> (((~environment(A)) | (~in_environment(A, B)) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)))), rewrite((((~environment(A)) | (~in_environment(A, B)) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)) <=> ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | (~greater(number_of_organizations(A, B), zero)))), (((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)) <=> ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | (~greater(number_of_organizations(A, B), zero))))), ((((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)) | constant(resources(A, B))) <=> (((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | (~greater(number_of_organizations(A, B), zero))) | constant(resources(A, B))))), rewrite((((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | (~greater(number_of_organizations(A, B), zero))) | constant(resources(A, B))) <=> ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))), ((((((~environment(A)) | (~in_environment(A, B))) | (~greater(number_of_organizations(A, B), zero))) | greater(equilibrium(A), B)) | constant(resources(A, B))) <=> ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))))),
% 0.46/0.76 inference(bind,[status(th)],[])).
% 0.46/0.76 tff(475,plain,
% 0.46/0.76 (![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)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))),
% 0.46/0.76 inference(quant_intro,[status(thm)],[474])).
% 0.46/0.76 tff(476,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','a4_68')).
% 0.46/0.76 tff(477,plain,
% 0.46/0.76 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))),
% 0.46/0.76 inference(modus_ponens,[status(thm)],[476, 475])).
% 0.46/0.76 tff(478,plain,
% 0.46/0.76 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))),
% 0.46/0.76 inference(modus_ponens,[status(thm)],[477, 473])).
% 0.46/0.76 tff(479,plain,(
% 0.46/0.76 ![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))),
% 0.46/0.76 inference(skolemize,[status(sab)],[478])).
% 0.46/0.76 tff(480,plain,
% 0.46/0.76 (![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))),
% 0.46/0.76 inference(modus_ponens,[status(thm)],[479, 472])).
% 0.46/0.76 tff(481,plain,
% 0.46/0.76 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(resources(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | (~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(resources(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3))))),
% 0.46/0.76 inference(rewrite,[status(thm)],[])).
% 0.46/0.76 tff(482,plain,
% 0.46/0.76 (((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3))) | constant(resources(sk3, sk4(sk2(sk3)))) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero))) <=> ((~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(resources(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3))))),
% 0.46/0.76 inference(rewrite,[status(thm)],[])).
% 0.46/0.76 tff(483,plain,
% 0.46/0.76 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3))) | constant(resources(sk3, sk4(sk2(sk3)))) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(resources(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3)))))),
% 0.46/0.76 inference(monotonicity,[status(thm)],[482])).
% 0.46/0.76 tff(484,plain,
% 0.46/0.76 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3))) | constant(resources(sk3, sk4(sk2(sk3)))) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | (~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(resources(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3))))),
% 0.46/0.76 inference(transitivity,[status(thm)],[483, 481])).
% 0.46/0.76 tff(485,plain,
% 0.46/0.76 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3))) | constant(resources(sk3, sk4(sk2(sk3)))) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)))),
% 0.46/0.76 inference(quant_inst,[status(thm)],[])).
% 0.46/0.76 tff(486,plain,
% 0.46/0.76 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | (~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk2(sk3))), zero)) | (~in_environment(sk3, sk4(sk2(sk3)))) | constant(resources(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3)))),
% 0.46/0.76 inference(modus_ponens,[status(thm)],[485, 484])).
% 0.46/0.76 tff(487,plain,
% 0.46/0.76 (constant(resources(sk3, sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk4(sk2(sk3)))),
% 0.46/0.76 inference(unit_resolution,[status(thm)],[486, 480, 7, 49, 470])).
% 0.46/0.76 tff(488,plain,
% 0.46/0.76 (greater(equilibrium(sk3), sk4(sk2(sk3)))),
% 0.46/0.76 inference(unit_resolution,[status(thm)],[487, 453])).
% 0.46/0.76 tff(489,assumption,(~greater(equilibrium(sk3), sk2(sk3))), introduced(assumption)).
% 0.46/0.76 tff(490,assumption,(greater(equilibrium(sk3), sk4(sk2(sk3)))), introduced(assumption)).
% 0.46/0.76 tff(491,assumption,(greater(sk4(sk2(sk3)), sk2(sk3))), introduced(assumption)).
% 0.46/0.76 tff(492,plain,
% 0.46/0.76 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk2(sk3)) | (~greater(equilibrium(sk3), sk4(sk2(sk3)))) | (~greater(sk4(sk2(sk3)), sk2(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(equilibrium(sk3), sk2(sk3)) | (~greater(equilibrium(sk3), sk4(sk2(sk3)))) | (~greater(sk4(sk2(sk3)), sk2(sk3))))),
% 0.46/0.76 inference(rewrite,[status(thm)],[])).
% 0.46/0.76 tff(493,plain,
% 0.46/0.76 ((greater(equilibrium(sk3), sk2(sk3)) | (~greater(sk4(sk2(sk3)), sk2(sk3))) | (~greater(equilibrium(sk3), sk4(sk2(sk3))))) <=> (greater(equilibrium(sk3), sk2(sk3)) | (~greater(equilibrium(sk3), sk4(sk2(sk3)))) | (~greater(sk4(sk2(sk3)), sk2(sk3))))),
% 0.46/0.76 inference(rewrite,[status(thm)],[])).
% 0.46/0.76 tff(494,plain,
% 0.46/0.76 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk2(sk3)) | (~greater(sk4(sk2(sk3)), sk2(sk3))) | (~greater(equilibrium(sk3), sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk2(sk3)) | (~greater(equilibrium(sk3), sk4(sk2(sk3)))) | (~greater(sk4(sk2(sk3)), sk2(sk3)))))),
% 0.46/0.77 inference(monotonicity,[status(thm)],[493])).
% 0.46/0.77 tff(495,plain,
% 0.46/0.77 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk2(sk3)) | (~greater(sk4(sk2(sk3)), sk2(sk3))) | (~greater(equilibrium(sk3), sk4(sk2(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(equilibrium(sk3), sk2(sk3)) | (~greater(equilibrium(sk3), sk4(sk2(sk3)))) | (~greater(sk4(sk2(sk3)), sk2(sk3))))),
% 0.46/0.77 inference(transitivity,[status(thm)],[494, 492])).
% 0.46/0.77 tff(496,plain,
% 0.46/0.77 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk2(sk3)) | (~greater(sk4(sk2(sk3)), sk2(sk3))) | (~greater(equilibrium(sk3), sk4(sk2(sk3)))))),
% 0.46/0.77 inference(quant_inst,[status(thm)],[])).
% 0.46/0.77 tff(497,plain,
% 0.46/0.77 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(equilibrium(sk3), sk2(sk3)) | (~greater(equilibrium(sk3), sk4(sk2(sk3)))) | (~greater(sk4(sk2(sk3)), sk2(sk3)))),
% 0.46/0.77 inference(modus_ponens,[status(thm)],[496, 495])).
% 0.46/0.77 tff(498,plain,
% 0.46/0.77 ($false),
% 0.46/0.77 inference(unit_resolution,[status(thm)],[497, 389, 489, 491, 490])).
% 0.46/0.77 tff(499,plain,((~greater(equilibrium(sk3), sk4(sk2(sk3)))) | greater(equilibrium(sk3), sk2(sk3)) | (~greater(sk4(sk2(sk3)), sk2(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.46/0.77 tff(500,plain,
% 0.46/0.77 (~greater(sk4(sk2(sk3)), sk2(sk3))),
% 0.46/0.77 inference(unit_resolution,[status(thm)],[499, 489, 488])).
% 0.46/0.77 tff(501,plain,
% 0.46/0.77 (^[B: $i, A: $i] : refl(((A = B) | greater(A, B) | (~greater_or_equal(A, B))) <=> ((A = B) | greater(A, B) | (~greater_or_equal(A, B))))),
% 0.46/0.77 inference(bind,[status(th)],[])).
% 0.46/0.77 tff(502,plain,
% 0.46/0.77 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B))) <=> ![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.46/0.77 inference(quant_intro,[status(thm)],[501])).
% 0.46/0.77 tff(503,plain,
% 0.46/0.77 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B))) <=> ![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.46/0.77 inference(rewrite,[status(thm)],[])).
% 0.46/0.77 tff(504,plain,
% 0.46/0.77 (^[B: $i, A: $i] : rewrite((((~greater_or_equal(A, B)) | greater(A, B)) | (A = B)) <=> ((A = B) | greater(A, B) | (~greater_or_equal(A, B))))),
% 0.46/0.77 inference(bind,[status(th)],[])).
% 0.46/0.77 tff(505,plain,
% 0.46/0.77 (![B: $i, A: $i] : (((~greater_or_equal(A, B)) | greater(A, B)) | (A = B)) <=> ![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.46/0.77 inference(quant_intro,[status(thm)],[504])).
% 0.46/0.77 tff(506,axiom,(![B: $i, A: $i] : (((~greater_or_equal(A, B)) | greater(A, B)) | (A = B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_greater_or_equal_60')).
% 0.46/0.77 tff(507,plain,
% 0.46/0.77 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.46/0.77 inference(modus_ponens,[status(thm)],[506, 505])).
% 0.46/0.77 tff(508,plain,
% 0.46/0.77 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.46/0.77 inference(modus_ponens,[status(thm)],[507, 503])).
% 0.46/0.77 tff(509,plain,(
% 0.46/0.77 ![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.46/0.77 inference(skolemize,[status(sab)],[508])).
% 0.46/0.77 tff(510,plain,
% 0.46/0.77 (![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))),
% 0.46/0.77 inference(modus_ponens,[status(thm)],[509, 502])).
% 0.46/0.77 tff(511,plain,
% 0.46/0.77 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))) | (sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3)))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))) | (sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3)))),
% 0.46/0.77 inference(rewrite,[status(thm)],[])).
% 0.46/0.77 tff(512,plain,
% 0.46/0.77 (((sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3)) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3)))) <=> ((~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))) | (sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3)))),
% 0.46/0.77 inference(rewrite,[status(thm)],[])).
% 0.46/0.77 tff(513,plain,
% 0.46/0.77 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3)) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))) | (sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3))))),
% 0.46/0.77 inference(monotonicity,[status(thm)],[512])).
% 0.46/0.77 tff(514,plain,
% 0.46/0.77 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3)) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))) | (sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3)))),
% 0.46/0.77 inference(transitivity,[status(thm)],[513, 511])).
% 0.46/0.77 tff(515,plain,
% 0.46/0.77 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3)) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))))),
% 0.46/0.77 inference(quant_inst,[status(thm)],[])).
% 0.46/0.77 tff(516,plain,
% 0.46/0.77 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (~greater_or_equal(sk4(sk2(sk3)), sk2(sk3))) | (sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3))),
% 0.46/0.77 inference(modus_ponens,[status(thm)],[515, 514])).
% 0.46/0.77 tff(517,plain,
% 0.46/0.77 ((sk4(sk2(sk3)) = sk2(sk3)) | greater(sk4(sk2(sk3)), sk2(sk3))),
% 0.46/0.77 inference(unit_resolution,[status(thm)],[516, 510, 297])).
% 0.46/0.77 tff(518,plain,
% 0.46/0.77 (sk4(sk2(sk3)) = sk2(sk3)),
% 0.46/0.77 inference(unit_resolution,[status(thm)],[517, 500])).
% 0.46/0.77 tff(519,plain,
% 0.46/0.77 (greater(equilibrium(sk3), sk4(sk2(sk3))) <=> greater(equilibrium(sk3), sk2(sk3))),
% 0.46/0.77 inference(monotonicity,[status(thm)],[518])).
% 0.46/0.77 tff(520,plain,
% 0.46/0.77 (greater(equilibrium(sk3), sk2(sk3)) <=> greater(equilibrium(sk3), sk4(sk2(sk3)))),
% 0.46/0.77 inference(symmetry,[status(thm)],[519])).
% 0.46/0.77 tff(521,plain,
% 0.46/0.77 ((~greater(equilibrium(sk3), sk2(sk3))) <=> (~greater(equilibrium(sk3), sk4(sk2(sk3))))),
% 0.46/0.77 inference(monotonicity,[status(thm)],[520])).
% 0.46/0.77 tff(522,plain,
% 0.46/0.77 (~greater(equilibrium(sk3), sk4(sk2(sk3)))),
% 0.46/0.77 inference(modus_ponens,[status(thm)],[489, 521])).
% 0.46/0.77 tff(523,plain,
% 0.46/0.77 ($false),
% 0.46/0.77 inference(unit_resolution,[status(thm)],[488, 522])).
% 0.46/0.77 tff(524,plain,(greater(equilibrium(sk3), sk2(sk3))), inference(lemma,lemma(discharge,[]))).
% 0.46/0.77 tff(525,plain,
% 0.46/0.77 (^[A: $i] : refl(((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A))) <=> ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A))))),
% 0.46/0.77 inference(bind,[status(th)],[])).
% 0.46/0.77 tff(526,plain,
% 0.46/0.77 (![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A))) <=> ![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))),
% 0.46/0.77 inference(quant_intro,[status(thm)],[525])).
% 0.46/0.77 tff(527,plain,
% 0.46/0.77 (![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A))) <=> ![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))),
% 0.46/0.77 inference(rewrite,[status(thm)],[])).
% 0.46/0.77 tff(528,plain,
% 0.46/0.77 (^[A: $i] : rewrite((((~environment(A)) | (~stable(A))) | in_environment(A, sk1(A))) <=> ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A))))),
% 0.46/0.77 inference(bind,[status(th)],[])).
% 0.46/0.77 tff(529,plain,
% 0.46/0.77 (![A: $i] : (((~environment(A)) | (~stable(A))) | in_environment(A, sk1(A))) <=> ![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))),
% 0.46/0.77 inference(quant_intro,[status(thm)],[528])).
% 0.46/0.77 tff(530,axiom,(![A: $i] : (((~environment(A)) | (~stable(A))) | in_environment(A, sk1(A)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a5_69')).
% 0.46/0.77 tff(531,plain,
% 0.46/0.77 (![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))),
% 0.46/0.77 inference(modus_ponens,[status(thm)],[530, 529])).
% 0.46/0.78 tff(532,plain,
% 0.46/0.78 (![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))),
% 0.46/0.78 inference(modus_ponens,[status(thm)],[531, 527])).
% 0.46/0.78 tff(533,plain,(
% 0.46/0.78 ![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))),
% 0.46/0.78 inference(skolemize,[status(sab)],[532])).
% 0.46/0.78 tff(534,plain,
% 0.46/0.78 (![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))),
% 0.46/0.78 inference(modus_ponens,[status(thm)],[533, 526])).
% 0.46/0.78 tff(535,plain,
% 0.46/0.78 (((~![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))) | ((~environment(sk3)) | (~stable(sk3)) | in_environment(sk3, sk1(sk3)))) <=> ((~![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))) | (~environment(sk3)) | (~stable(sk3)) | in_environment(sk3, sk1(sk3)))),
% 0.46/0.78 inference(rewrite,[status(thm)],[])).
% 0.46/0.78 tff(536,plain,
% 0.46/0.78 ((~![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))) | ((~environment(sk3)) | (~stable(sk3)) | in_environment(sk3, sk1(sk3)))),
% 0.46/0.78 inference(quant_inst,[status(thm)],[])).
% 0.46/0.78 tff(537,plain,
% 0.46/0.78 ((~![A: $i] : ((~environment(A)) | (~stable(A)) | in_environment(A, sk1(A)))) | (~environment(sk3)) | (~stable(sk3)) | in_environment(sk3, sk1(sk3))),
% 0.46/0.78 inference(modus_ponens,[status(thm)],[536, 535])).
% 0.46/0.78 tff(538,plain,
% 0.46/0.78 (in_environment(sk3, sk1(sk3))),
% 0.46/0.78 inference(unit_resolution,[status(thm)],[537, 534, 7, 4])).
% 0.46/0.78 tff(539,plain,
% 0.46/0.78 (((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | ((~in_environment(sk3, sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3))))) <=> ((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | (~in_environment(sk3, sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3))))),
% 0.46/0.78 inference(rewrite,[status(thm)],[])).
% 0.46/0.78 tff(540,plain,
% 0.46/0.78 ((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | ((~in_environment(sk3, sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3))))),
% 0.46/0.78 inference(quant_inst,[status(thm)],[])).
% 0.46/0.78 tff(541,plain,
% 0.46/0.78 ((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | (~in_environment(sk3, sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))),
% 0.46/0.78 inference(modus_ponens,[status(thm)],[540, 539])).
% 0.46/0.78 tff(542,plain,
% 0.46/0.78 (subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))),
% 0.46/0.78 inference(unit_resolution,[status(thm)],[541, 28, 538])).
% 0.46/0.78 tff(543,plain,
% 0.46/0.78 (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | in_environment(sk3, sk4(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | in_environment(sk3, sk4(sk1(sk3))))),
% 0.46/0.78 inference(rewrite,[status(thm)],[])).
% 0.46/0.78 tff(544,plain,
% 0.46/0.78 ((in_environment(sk3, sk4(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | (~environment(sk3))) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | in_environment(sk3, sk4(sk1(sk3))))),
% 0.46/0.78 inference(rewrite,[status(thm)],[])).
% 0.46/0.78 tff(545,plain,
% 0.46/0.78 (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk3, sk4(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | (~environment(sk3)))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | in_environment(sk3, sk4(sk1(sk3)))))),
% 0.46/0.78 inference(monotonicity,[status(thm)],[544])).
% 0.46/0.78 tff(546,plain,
% 0.46/0.78 (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk3, sk4(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | (~environment(sk3)))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | in_environment(sk3, sk4(sk1(sk3))))),
% 0.46/0.78 inference(transitivity,[status(thm)],[545, 543])).
% 0.46/0.78 tff(547,plain,
% 0.46/0.78 ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk3, sk4(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | (~environment(sk3)))),
% 0.46/0.78 inference(quant_inst,[status(thm)],[])).
% 0.46/0.78 tff(548,plain,
% 0.46/0.78 ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | in_environment(sk3, sk4(sk1(sk3)))),
% 0.46/0.78 inference(modus_ponens,[status(thm)],[547, 546])).
% 0.46/0.78 tff(549,plain,
% 0.46/0.78 (in_environment(sk3, sk4(sk1(sk3)))),
% 0.46/0.78 inference(unit_resolution,[status(thm)],[548, 42, 7, 542])).
% 0.46/0.78 tff(550,plain,
% 0.46/0.78 (((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | ((~in_environment(sk3, sk4(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3)))))) <=> ((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | (~in_environment(sk3, sk4(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3)))))),
% 0.46/0.78 inference(rewrite,[status(thm)],[])).
% 0.46/0.78 tff(551,plain,
% 0.46/0.78 ((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | ((~in_environment(sk3, sk4(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3)))))),
% 0.46/0.78 inference(quant_inst,[status(thm)],[])).
% 0.46/0.78 tff(552,plain,
% 0.46/0.78 ((~![A: $i] : ((~in_environment(sk3, A)) | subpopulations(first_movers, efficient_producers, sk3, sk4(A)))) | (~in_environment(sk3, sk4(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))),
% 0.46/0.78 inference(modus_ponens,[status(thm)],[551, 550])).
% 0.46/0.78 tff(553,plain,
% 0.46/0.78 (subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))),
% 0.46/0.78 inference(unit_resolution,[status(thm)],[552, 28, 549])).
% 0.46/0.78 tff(554,plain,
% 0.46/0.78 (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | in_environment(sk3, sk4(sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | in_environment(sk3, sk4(sk4(sk1(sk3)))))),
% 0.46/0.78 inference(rewrite,[status(thm)],[])).
% 0.46/0.78 tff(555,plain,
% 0.46/0.78 ((in_environment(sk3, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3))) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | in_environment(sk3, sk4(sk4(sk1(sk3)))))),
% 0.46/0.78 inference(rewrite,[status(thm)],[])).
% 0.46/0.78 tff(556,plain,
% 0.46/0.78 (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk3, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | in_environment(sk3, sk4(sk4(sk1(sk3))))))),
% 0.46/0.79 inference(monotonicity,[status(thm)],[555])).
% 0.46/0.79 tff(557,plain,
% 0.46/0.79 (((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk3, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | in_environment(sk3, sk4(sk4(sk1(sk3)))))),
% 0.46/0.79 inference(transitivity,[status(thm)],[556, 554])).
% 0.46/0.79 tff(558,plain,
% 0.46/0.79 ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (in_environment(sk3, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)))),
% 0.46/0.79 inference(quant_inst,[status(thm)],[])).
% 0.46/0.79 tff(559,plain,
% 0.46/0.79 ((~![B: $i, A: $i] : (in_environment(A, B) | (~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | in_environment(sk3, sk4(sk4(sk1(sk3))))),
% 0.46/0.79 inference(modus_ponens,[status(thm)],[558, 557])).
% 0.46/0.79 tff(560,plain,
% 0.46/0.79 (in_environment(sk3, sk4(sk4(sk1(sk3))))),
% 0.46/0.79 inference(unit_resolution,[status(thm)],[559, 42, 7, 553])).
% 0.46/0.79 tff(561,plain,
% 0.46/0.79 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3)))))),
% 0.46/0.79 inference(rewrite,[status(thm)],[])).
% 0.46/0.79 tff(562,plain,
% 0.46/0.79 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3)))))),
% 0.46/0.79 inference(quant_inst,[status(thm)],[])).
% 0.46/0.79 tff(563,plain,
% 0.46/0.79 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))),
% 0.46/0.79 inference(modus_ponens,[status(thm)],[562, 561])).
% 0.46/0.79 tff(564,plain,
% 0.46/0.79 (subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))),
% 0.46/0.79 inference(unit_resolution,[status(thm)],[563, 59, 7, 560])).
% 0.46/0.79 tff(565,plain,
% 0.46/0.79 (((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))) | ((~environment(sk3)) | (number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))))) <=> ((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))) | (~environment(sk3)) | (number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))))),
% 0.46/0.79 inference(rewrite,[status(thm)],[])).
% 0.46/0.79 tff(566,plain,
% 0.46/0.79 (((number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~environment(sk3)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3)))))) <=> ((~environment(sk3)) | (number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))))),
% 0.46/0.79 inference(rewrite,[status(thm)],[])).
% 0.46/0.79 tff(567,plain,
% 0.46/0.79 (((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))) | ((number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~environment(sk3)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))))) <=> ((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))) | ((~environment(sk3)) | (number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3)))))))),
% 0.46/0.79 inference(monotonicity,[status(thm)],[566])).
% 0.46/0.79 tff(568,plain,
% 0.46/0.79 (((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))) | ((number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~environment(sk3)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))))) <=> ((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))) | (~environment(sk3)) | (number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))))),
% 0.46/0.79 inference(transitivity,[status(thm)],[567, 565])).
% 0.46/0.79 tff(569,plain,
% 0.46/0.79 ((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))) | ((number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~environment(sk3)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))))),
% 0.46/0.79 inference(quant_inst,[status(thm)],[])).
% 0.46/0.79 tff(570,plain,
% 0.46/0.79 ((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(first_movers, A, C)))) | (~environment(sk3)) | (number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3)))))),
% 0.46/0.79 inference(modus_ponens,[status(thm)],[569, 568])).
% 0.46/0.79 tff(571,plain,
% 0.46/0.79 (number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))),
% 0.46/0.79 inference(unit_resolution,[status(thm)],[570, 80, 7, 564])).
% 0.46/0.79 tff(572,plain,
% 0.46/0.79 (sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) = number_of_organizations(sk3, sk4(sk4(sk1(sk3))))),
% 0.46/0.79 inference(symmetry,[status(thm)],[571])).
% 0.46/0.79 tff(573,plain,
% 0.46/0.79 (constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) <=> constant(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))))),
% 0.46/0.79 inference(monotonicity,[status(thm)],[572])).
% 0.46/0.79 tff(574,plain,
% 0.46/0.79 (constant(number_of_organizations(sk3, sk4(sk4(sk1(sk3))))) <=> constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.46/0.79 inference(symmetry,[status(thm)],[573])).
% 0.46/0.79 tff(575,assumption,(greater(sk4(sk1(sk3)), equilibrium(sk3))), introduced(assumption)).
% 0.46/0.79 tff(576,assumption,(greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))), introduced(assumption)).
% 0.46/0.79 tff(577,plain,
% 0.46/0.79 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk1(sk3)), equilibrium(sk3))) | greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk1(sk3)), equilibrium(sk3))) | greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3)))))),
% 0.46/0.80 inference(rewrite,[status(thm)],[])).
% 0.46/0.80 tff(578,plain,
% 0.46/0.80 ((greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3)))) | (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk1(sk3)), equilibrium(sk3)))) <=> ((~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk1(sk3)), equilibrium(sk3))) | greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3)))))),
% 0.46/0.80 inference(rewrite,[status(thm)],[])).
% 0.46/0.80 tff(579,plain,
% 0.46/0.80 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3)))) | (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk1(sk3)), equilibrium(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk1(sk3)), equilibrium(sk3))) | greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3))))))),
% 0.46/0.80 inference(monotonicity,[status(thm)],[578])).
% 0.46/0.80 tff(580,plain,
% 0.46/0.80 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3)))) | (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk1(sk3)), equilibrium(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk1(sk3)), equilibrium(sk3))) | greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3)))))),
% 0.46/0.80 inference(transitivity,[status(thm)],[579, 577])).
% 0.46/0.80 tff(581,plain,
% 0.46/0.80 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3)))) | (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk1(sk3)), equilibrium(sk3))))),
% 0.46/0.80 inference(quant_inst,[status(thm)],[])).
% 0.46/0.80 tff(582,plain,
% 0.46/0.80 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk1(sk3)), equilibrium(sk3))) | greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3))))),
% 0.46/0.80 inference(modus_ponens,[status(thm)],[581, 580])).
% 0.46/0.80 tff(583,plain,
% 0.46/0.80 (greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3))))),
% 0.46/0.80 inference(unit_resolution,[status(thm)],[582, 389, 576, 575])).
% 0.46/0.80 tff(584,plain,
% 0.46/0.80 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))),
% 0.46/0.80 inference(rewrite,[status(thm)],[])).
% 0.46/0.80 tff(585,plain,
% 0.46/0.80 (((~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))) | (~greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3)))))) <=> ((~greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))),
% 0.46/0.80 inference(rewrite,[status(thm)],[])).
% 0.46/0.80 tff(586,plain,
% 0.46/0.80 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))) | (~greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))))))),
% 0.56/0.80 inference(monotonicity,[status(thm)],[585])).
% 0.56/0.80 tff(587,plain,
% 0.56/0.80 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))) | (~greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))),
% 0.56/0.80 inference(transitivity,[status(thm)],[586, 584])).
% 0.56/0.80 tff(588,plain,
% 0.56/0.80 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))) | (~greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3))))))),
% 0.56/0.80 inference(quant_inst,[status(thm)],[])).
% 0.56/0.80 tff(589,plain,
% 0.56/0.80 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(sk4(sk1(sk3)), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))))),
% 0.56/0.80 inference(modus_ponens,[status(thm)],[588, 587])).
% 0.56/0.80 tff(590,plain,
% 0.56/0.80 (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[589, 375, 583])).
% 0.56/0.80 tff(591,plain,
% 0.56/0.80 (((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | ((~in_environment(sk3, sk4(sk1(sk3)))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))))) <=> ((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | (~in_environment(sk3, sk4(sk1(sk3)))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))))),
% 0.56/0.80 inference(rewrite,[status(thm)],[])).
% 0.56/0.80 tff(592,plain,
% 0.56/0.80 ((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | ((~in_environment(sk3, sk4(sk1(sk3)))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))))),
% 0.56/0.80 inference(quant_inst,[status(thm)],[])).
% 0.56/0.80 tff(593,plain,
% 0.56/0.80 ((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | (~in_environment(sk3, sk4(sk1(sk3)))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))),
% 0.56/0.80 inference(modus_ponens,[status(thm)],[592, 591])).
% 0.56/0.80 tff(594,plain,
% 0.56/0.80 (greater_or_equal(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[593, 293, 549])).
% 0.56/0.80 tff(595,plain,
% 0.56/0.80 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((sk4(sk4(sk1(sk3))) = sk4(sk1(sk3))) | greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (sk4(sk4(sk1(sk3))) = sk4(sk1(sk3))) | greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))),
% 0.56/0.80 inference(rewrite,[status(thm)],[])).
% 0.56/0.80 tff(596,plain,
% 0.56/0.80 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((sk4(sk4(sk1(sk3))) = sk4(sk1(sk3))) | greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))),
% 0.56/0.80 inference(quant_inst,[status(thm)],[])).
% 0.56/0.80 tff(597,plain,
% 0.56/0.80 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (sk4(sk4(sk1(sk3))) = sk4(sk1(sk3))) | greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))))),
% 0.56/0.80 inference(modus_ponens,[status(thm)],[596, 595])).
% 0.56/0.80 tff(598,plain,
% 0.56/0.80 ((sk4(sk4(sk1(sk3))) = sk4(sk1(sk3))) | greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[597, 510, 594])).
% 0.56/0.80 tff(599,plain,
% 0.56/0.80 (sk4(sk4(sk1(sk3))) = sk4(sk1(sk3))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[598, 590])).
% 0.56/0.80 tff(600,plain,
% 0.56/0.80 (greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) <=> greater(equilibrium(sk3), sk4(sk1(sk3)))),
% 0.56/0.80 inference(monotonicity,[status(thm)],[599])).
% 0.56/0.80 tff(601,plain,
% 0.56/0.80 (greater(equilibrium(sk3), sk4(sk1(sk3))) <=> greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))),
% 0.56/0.80 inference(symmetry,[status(thm)],[600])).
% 0.56/0.80 tff(602,plain,
% 0.56/0.80 ((~greater(equilibrium(sk3), sk4(sk1(sk3)))) <=> (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))))),
% 0.56/0.80 inference(monotonicity,[status(thm)],[601])).
% 0.56/0.80 tff(603,assumption,(greater(equilibrium(sk3), sk4(sk1(sk3)))), introduced(assumption)).
% 0.56/0.80 tff(604,assumption,(greater(sk4(sk1(sk3)), sk1(sk3))), introduced(assumption)).
% 0.56/0.80 tff(605,plain,
% 0.56/0.80 (^[A: $i] : refl(((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A))) <=> ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A))))),
% 0.56/0.80 inference(bind,[status(th)],[])).
% 0.56/0.80 tff(606,plain,
% 0.56/0.80 (![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A))) <=> ![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))),
% 0.56/0.80 inference(quant_intro,[status(thm)],[605])).
% 0.56/0.80 tff(607,plain,
% 0.56/0.80 (![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A))) <=> ![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))),
% 0.56/0.80 inference(rewrite,[status(thm)],[])).
% 0.56/0.80 tff(608,plain,
% 0.56/0.80 (^[A: $i] : rewrite((((~environment(A)) | (~stable(A))) | greater_or_equal(sk1(A), equilibrium(A))) <=> ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A))))),
% 0.56/0.80 inference(bind,[status(th)],[])).
% 0.56/0.80 tff(609,plain,
% 0.56/0.80 (![A: $i] : (((~environment(A)) | (~stable(A))) | greater_or_equal(sk1(A), equilibrium(A))) <=> ![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))),
% 0.56/0.80 inference(quant_intro,[status(thm)],[608])).
% 0.56/0.80 tff(610,axiom,(![A: $i] : (((~environment(A)) | (~stable(A))) | greater_or_equal(sk1(A), equilibrium(A)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a5_70')).
% 0.56/0.80 tff(611,plain,
% 0.56/0.80 (![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))),
% 0.56/0.80 inference(modus_ponens,[status(thm)],[610, 609])).
% 0.56/0.80 tff(612,plain,
% 0.56/0.80 (![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))),
% 0.56/0.80 inference(modus_ponens,[status(thm)],[611, 607])).
% 0.56/0.80 tff(613,plain,(
% 0.56/0.80 ![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))),
% 0.56/0.80 inference(skolemize,[status(sab)],[612])).
% 0.56/0.80 tff(614,plain,
% 0.56/0.80 (![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))),
% 0.56/0.80 inference(modus_ponens,[status(thm)],[613, 606])).
% 0.56/0.80 tff(615,plain,
% 0.56/0.80 (((~![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))) | ((~environment(sk3)) | (~stable(sk3)) | greater_or_equal(sk1(sk3), equilibrium(sk3)))) <=> ((~![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))) | (~environment(sk3)) | (~stable(sk3)) | greater_or_equal(sk1(sk3), equilibrium(sk3)))),
% 0.56/0.80 inference(rewrite,[status(thm)],[])).
% 0.56/0.80 tff(616,plain,
% 0.56/0.80 ((~![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))) | ((~environment(sk3)) | (~stable(sk3)) | greater_or_equal(sk1(sk3), equilibrium(sk3)))),
% 0.56/0.80 inference(quant_inst,[status(thm)],[])).
% 0.56/0.80 tff(617,plain,
% 0.56/0.80 ((~![A: $i] : ((~environment(A)) | (~stable(A)) | greater_or_equal(sk1(A), equilibrium(A)))) | (~environment(sk3)) | (~stable(sk3)) | greater_or_equal(sk1(sk3), equilibrium(sk3))),
% 0.56/0.80 inference(modus_ponens,[status(thm)],[616, 615])).
% 0.56/0.80 tff(618,plain,
% 0.56/0.80 (greater_or_equal(sk1(sk3), equilibrium(sk3))),
% 0.56/0.80 inference(unit_resolution,[status(thm)],[617, 614, 7, 4])).
% 0.56/0.80 tff(619,plain,
% 0.56/0.80 (^[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)))))),
% 0.56/0.80 inference(bind,[status(th)],[])).
% 0.56/0.80 tff(620,plain,
% 0.56/0.80 (![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))))),
% 0.56/0.80 inference(quant_intro,[status(thm)],[619])).
% 0.56/0.80 tff(621,plain,
% 0.56/0.80 (![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))))),
% 0.56/0.80 inference(rewrite,[status(thm)],[])).
% 0.56/0.81 tff(622,plain,
% 0.56/0.81 (^[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)))))),
% 0.56/0.81 inference(bind,[status(th)],[])).
% 0.56/0.81 tff(623,plain,
% 0.56/0.81 (![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))))),
% 0.56/0.81 inference(quant_intro,[status(thm)],[622])).
% 0.56/0.81 tff(624,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_63')).
% 0.56/0.81 tff(625,plain,
% 0.56/0.81 (![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))),
% 0.56/0.81 inference(modus_ponens,[status(thm)],[624, 623])).
% 0.56/0.81 tff(626,plain,
% 0.56/0.81 (![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))),
% 0.56/0.81 inference(modus_ponens,[status(thm)],[625, 621])).
% 0.56/0.81 tff(627,plain,(
% 0.56/0.81 ![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))),
% 0.56/0.81 inference(skolemize,[status(sab)],[626])).
% 0.56/0.81 tff(628,plain,
% 0.56/0.81 (![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))),
% 0.56/0.81 inference(modus_ponens,[status(thm)],[627, 620])).
% 0.56/0.81 tff(629,plain,
% 0.56/0.81 (((~![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))) | ((~environment(sk3)) | (~greater(equilibrium(sk3), sk1(sk3))) | (~greater_or_equal(sk1(sk3), equilibrium(sk3))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))) | (~environment(sk3)) | (~greater(equilibrium(sk3), sk1(sk3))) | (~greater_or_equal(sk1(sk3), equilibrium(sk3))))),
% 0.56/0.81 inference(rewrite,[status(thm)],[])).
% 0.56/0.81 tff(630,plain,
% 0.56/0.81 ((~![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))) | ((~environment(sk3)) | (~greater(equilibrium(sk3), sk1(sk3))) | (~greater_or_equal(sk1(sk3), equilibrium(sk3))))),
% 0.56/0.81 inference(quant_inst,[status(thm)],[])).
% 0.56/0.81 tff(631,plain,
% 0.56/0.81 ((~![B: $i, A: $i] : ((~environment(A)) | (~greater(equilibrium(A), B)) | (~greater_or_equal(B, equilibrium(A))))) | (~environment(sk3)) | (~greater(equilibrium(sk3), sk1(sk3))) | (~greater_or_equal(sk1(sk3), equilibrium(sk3)))),
% 0.56/0.81 inference(modus_ponens,[status(thm)],[630, 629])).
% 0.56/0.81 tff(632,plain,
% 0.56/0.81 (~greater(equilibrium(sk3), sk1(sk3))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[631, 628, 7, 618])).
% 0.56/0.81 tff(633,plain,
% 0.56/0.81 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk1(sk3)) | (~greater(equilibrium(sk3), sk4(sk1(sk3)))) | (~greater(sk4(sk1(sk3)), sk1(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(equilibrium(sk3), sk1(sk3)) | (~greater(equilibrium(sk3), sk4(sk1(sk3)))) | (~greater(sk4(sk1(sk3)), sk1(sk3))))),
% 0.56/0.81 inference(rewrite,[status(thm)],[])).
% 0.56/0.81 tff(634,plain,
% 0.56/0.81 ((greater(equilibrium(sk3), sk1(sk3)) | (~greater(sk4(sk1(sk3)), sk1(sk3))) | (~greater(equilibrium(sk3), sk4(sk1(sk3))))) <=> (greater(equilibrium(sk3), sk1(sk3)) | (~greater(equilibrium(sk3), sk4(sk1(sk3)))) | (~greater(sk4(sk1(sk3)), sk1(sk3))))),
% 0.56/0.81 inference(rewrite,[status(thm)],[])).
% 0.56/0.81 tff(635,plain,
% 0.56/0.81 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk1(sk3)) | (~greater(sk4(sk1(sk3)), sk1(sk3))) | (~greater(equilibrium(sk3), sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk1(sk3)) | (~greater(equilibrium(sk3), sk4(sk1(sk3)))) | (~greater(sk4(sk1(sk3)), sk1(sk3)))))),
% 0.56/0.81 inference(monotonicity,[status(thm)],[634])).
% 0.56/0.81 tff(636,plain,
% 0.56/0.81 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk1(sk3)) | (~greater(sk4(sk1(sk3)), sk1(sk3))) | (~greater(equilibrium(sk3), sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(equilibrium(sk3), sk1(sk3)) | (~greater(equilibrium(sk3), sk4(sk1(sk3)))) | (~greater(sk4(sk1(sk3)), sk1(sk3))))),
% 0.56/0.81 inference(transitivity,[status(thm)],[635, 633])).
% 0.56/0.81 tff(637,plain,
% 0.56/0.81 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(equilibrium(sk3), sk1(sk3)) | (~greater(sk4(sk1(sk3)), sk1(sk3))) | (~greater(equilibrium(sk3), sk4(sk1(sk3)))))),
% 0.56/0.81 inference(quant_inst,[status(thm)],[])).
% 0.56/0.81 tff(638,plain,
% 0.56/0.81 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(equilibrium(sk3), sk1(sk3)) | (~greater(equilibrium(sk3), sk4(sk1(sk3)))) | (~greater(sk4(sk1(sk3)), sk1(sk3)))),
% 0.56/0.81 inference(modus_ponens,[status(thm)],[637, 636])).
% 0.56/0.81 tff(639,plain,
% 0.56/0.81 ($false),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[638, 389, 632, 604, 603])).
% 0.56/0.81 tff(640,plain,((~greater(sk4(sk1(sk3)), sk1(sk3))) | (~greater(equilibrium(sk3), sk4(sk1(sk3))))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.81 tff(641,plain,
% 0.56/0.81 (~greater(sk4(sk1(sk3)), sk1(sk3))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[640, 603])).
% 0.56/0.81 tff(642,plain,
% 0.56/0.81 (((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | ((~in_environment(sk3, sk1(sk3))) | greater_or_equal(sk4(sk1(sk3)), sk1(sk3)))) <=> ((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | (~in_environment(sk3, sk1(sk3))) | greater_or_equal(sk4(sk1(sk3)), sk1(sk3)))),
% 0.56/0.81 inference(rewrite,[status(thm)],[])).
% 0.56/0.81 tff(643,plain,
% 0.56/0.81 ((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | ((~in_environment(sk3, sk1(sk3))) | greater_or_equal(sk4(sk1(sk3)), sk1(sk3)))),
% 0.56/0.81 inference(quant_inst,[status(thm)],[])).
% 0.56/0.81 tff(644,plain,
% 0.56/0.81 ((~![A: $i] : ((~in_environment(sk3, A)) | greater_or_equal(sk4(A), A))) | (~in_environment(sk3, sk1(sk3))) | greater_or_equal(sk4(sk1(sk3)), sk1(sk3))),
% 0.56/0.81 inference(modus_ponens,[status(thm)],[643, 642])).
% 0.56/0.81 tff(645,plain,
% 0.56/0.81 (greater_or_equal(sk4(sk1(sk3)), sk1(sk3))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[644, 293, 538])).
% 0.56/0.81 tff(646,plain,
% 0.56/0.81 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((sk4(sk1(sk3)) = sk1(sk3)) | greater(sk4(sk1(sk3)), sk1(sk3)) | (~greater_or_equal(sk4(sk1(sk3)), sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (sk4(sk1(sk3)) = sk1(sk3)) | greater(sk4(sk1(sk3)), sk1(sk3)) | (~greater_or_equal(sk4(sk1(sk3)), sk1(sk3))))),
% 0.56/0.81 inference(rewrite,[status(thm)],[])).
% 0.56/0.81 tff(647,plain,
% 0.56/0.81 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((sk4(sk1(sk3)) = sk1(sk3)) | greater(sk4(sk1(sk3)), sk1(sk3)) | (~greater_or_equal(sk4(sk1(sk3)), sk1(sk3))))),
% 0.56/0.81 inference(quant_inst,[status(thm)],[])).
% 0.56/0.81 tff(648,plain,
% 0.56/0.81 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (sk4(sk1(sk3)) = sk1(sk3)) | greater(sk4(sk1(sk3)), sk1(sk3)) | (~greater_or_equal(sk4(sk1(sk3)), sk1(sk3)))),
% 0.56/0.81 inference(modus_ponens,[status(thm)],[647, 646])).
% 0.56/0.81 tff(649,plain,
% 0.56/0.81 ((sk4(sk1(sk3)) = sk1(sk3)) | greater(sk4(sk1(sk3)), sk1(sk3))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[648, 510, 645])).
% 0.56/0.81 tff(650,plain,
% 0.56/0.81 (sk4(sk1(sk3)) = sk1(sk3)),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[649, 641])).
% 0.56/0.81 tff(651,plain,
% 0.56/0.81 (greater(equilibrium(sk3), sk4(sk1(sk3))) <=> greater(equilibrium(sk3), sk1(sk3))),
% 0.56/0.81 inference(monotonicity,[status(thm)],[650])).
% 0.56/0.81 tff(652,plain,
% 0.56/0.81 (greater(equilibrium(sk3), sk1(sk3)) <=> greater(equilibrium(sk3), sk4(sk1(sk3)))),
% 0.56/0.81 inference(symmetry,[status(thm)],[651])).
% 0.56/0.81 tff(653,plain,
% 0.56/0.81 ((~greater(equilibrium(sk3), sk1(sk3))) <=> (~greater(equilibrium(sk3), sk4(sk1(sk3))))),
% 0.56/0.81 inference(monotonicity,[status(thm)],[652])).
% 0.56/0.81 tff(654,plain,
% 0.56/0.81 (~greater(equilibrium(sk3), sk4(sk1(sk3)))),
% 0.56/0.81 inference(modus_ponens,[status(thm)],[632, 653])).
% 0.56/0.81 tff(655,plain,
% 0.56/0.81 ($false),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[603, 654])).
% 0.56/0.81 tff(656,plain,(~greater(equilibrium(sk3), sk4(sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.81 tff(657,plain,
% 0.56/0.81 (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))),
% 0.56/0.81 inference(modus_ponens,[status(thm)],[656, 602])).
% 0.56/0.81 tff(658,plain,
% 0.56/0.81 ($false),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[576, 657])).
% 0.56/0.81 tff(659,plain,((~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))) | (~greater(sk4(sk1(sk3)), equilibrium(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.81 tff(660,plain,
% 0.56/0.81 (~greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))),
% 0.56/0.81 inference(unit_resolution,[status(thm)],[659, 575])).
% 0.56/0.81 tff(661,plain,
% 0.56/0.81 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero))),
% 0.56/0.81 inference(rewrite,[status(thm)],[])).
% 0.56/0.81 tff(662,plain,
% 0.56/0.81 (((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero))),
% 0.56/0.81 inference(rewrite,[status(thm)],[])).
% 0.56/0.81 tff(663,plain,
% 0.56/0.81 (((~![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, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)))),
% 0.56/0.81 inference(monotonicity,[status(thm)],[662])).
% 0.56/0.81 tff(664,plain,
% 0.56/0.81 (((~![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, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero))),
% 0.56/0.81 inference(transitivity,[status(thm)],[663, 661])).
% 0.56/0.81 tff(665,plain,
% 0.56/0.81 ((~![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, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero))),
% 0.56/0.81 inference(quant_inst,[status(thm)],[])).
% 0.56/0.81 tff(666,plain,
% 0.56/0.81 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)),
% 0.56/0.81 inference(modus_ponens,[status(thm)],[665, 664])).
% 0.56/0.81 tff(667,plain,
% 0.56/0.81 (greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[666, 463, 7, 553])).
% 0.56/0.82 tff(668,plain,
% 0.56/0.82 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | (~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))))),
% 0.56/0.82 inference(rewrite,[status(thm)],[])).
% 0.56/0.82 tff(669,plain,
% 0.56/0.82 (((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero))) <=> ((~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))))),
% 0.56/0.82 inference(rewrite,[status(thm)],[])).
% 0.56/0.82 tff(670,plain,
% 0.56/0.82 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))))),
% 0.56/0.82 inference(monotonicity,[status(thm)],[669])).
% 0.56/0.82 tff(671,plain,
% 0.56/0.82 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | (~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))))),
% 0.56/0.82 inference(transitivity,[status(thm)],[670, 668])).
% 0.56/0.82 tff(672,plain,
% 0.56/0.82 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3)))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)))),
% 0.56/0.82 inference(quant_inst,[status(thm)],[])).
% 0.56/0.82 tff(673,plain,
% 0.56/0.82 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | (~environment(sk3)) | (~greater(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(resources(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))),
% 0.56/0.82 inference(modus_ponens,[status(thm)],[672, 671])).
% 0.56/0.82 tff(674,plain,
% 0.56/0.82 (constant(resources(sk3, sk4(sk4(sk1(sk3))))) | greater(equilibrium(sk3), sk4(sk4(sk1(sk3))))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[673, 480, 7, 560, 667])).
% 0.56/0.82 tff(675,plain,
% 0.56/0.82 (constant(resources(sk3, sk4(sk4(sk1(sk3)))))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[674, 660])).
% 0.56/0.82 tff(676,plain,
% 0.56/0.82 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(number_of_organizations(sk3, sk4(sk4(sk1(sk3))))) | (~constant(resources(sk3, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(number_of_organizations(sk3, sk4(sk4(sk1(sk3))))) | (~constant(resources(sk3, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.82 inference(rewrite,[status(thm)],[])).
% 0.56/0.82 tff(677,plain,
% 0.56/0.82 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(number_of_organizations(sk3, sk4(sk4(sk1(sk3))))) | (~constant(resources(sk3, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.82 inference(quant_inst,[status(thm)],[])).
% 0.56/0.82 tff(678,plain,
% 0.56/0.82 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | constant(number_of_organizations(sk3, sk4(sk4(sk1(sk3))))) | (~constant(resources(sk3, sk4(sk4(sk1(sk3))))))),
% 0.56/0.82 inference(modus_ponens,[status(thm)],[677, 676])).
% 0.56/0.82 tff(679,plain,
% 0.56/0.82 (constant(number_of_organizations(sk3, sk4(sk4(sk1(sk3))))) | (~constant(resources(sk3, sk4(sk4(sk1(sk3))))))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[678, 448, 7, 560])).
% 0.56/0.82 tff(680,plain,
% 0.56/0.82 (constant(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))))),
% 0.56/0.82 inference(unit_resolution,[status(thm)],[679, 675])).
% 0.56/0.82 tff(681,plain,
% 0.56/0.82 (constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.56/0.82 inference(modus_ponens,[status(thm)],[680, 574])).
% 0.56/0.82 tff(682,assumption,(greater(equilibrium(sk3), sk2(sk3))), introduced(assumption)).
% 0.56/0.82 tff(683,plain,
% 0.56/0.82 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(equilibrium(sk3), sk2(sk3))) | greater(sk4(sk1(sk3)), sk2(sk3)) | (~greater(sk4(sk1(sk3)), equilibrium(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(equilibrium(sk3), sk2(sk3))) | greater(sk4(sk1(sk3)), sk2(sk3)) | (~greater(sk4(sk1(sk3)), equilibrium(sk3))))),
% 0.56/0.82 inference(rewrite,[status(thm)],[])).
% 0.56/0.82 tff(684,plain,
% 0.56/0.82 ((greater(sk4(sk1(sk3)), sk2(sk3)) | (~greater(equilibrium(sk3), sk2(sk3))) | (~greater(sk4(sk1(sk3)), equilibrium(sk3)))) <=> ((~greater(equilibrium(sk3), sk2(sk3))) | greater(sk4(sk1(sk3)), sk2(sk3)) | (~greater(sk4(sk1(sk3)), equilibrium(sk3))))),
% 0.56/0.82 inference(rewrite,[status(thm)],[])).
% 0.56/0.82 tff(685,plain,
% 0.56/0.82 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk4(sk1(sk3)), sk2(sk3)) | (~greater(equilibrium(sk3), sk2(sk3))) | (~greater(sk4(sk1(sk3)), equilibrium(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(equilibrium(sk3), sk2(sk3))) | greater(sk4(sk1(sk3)), sk2(sk3)) | (~greater(sk4(sk1(sk3)), equilibrium(sk3)))))),
% 0.56/0.82 inference(monotonicity,[status(thm)],[684])).
% 0.56/0.82 tff(686,plain,
% 0.56/0.82 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk4(sk1(sk3)), sk2(sk3)) | (~greater(equilibrium(sk3), sk2(sk3))) | (~greater(sk4(sk1(sk3)), equilibrium(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(equilibrium(sk3), sk2(sk3))) | greater(sk4(sk1(sk3)), sk2(sk3)) | (~greater(sk4(sk1(sk3)), equilibrium(sk3))))),
% 0.56/0.83 inference(transitivity,[status(thm)],[685, 683])).
% 0.56/0.83 tff(687,plain,
% 0.56/0.83 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk4(sk1(sk3)), sk2(sk3)) | (~greater(equilibrium(sk3), sk2(sk3))) | (~greater(sk4(sk1(sk3)), equilibrium(sk3))))),
% 0.56/0.83 inference(quant_inst,[status(thm)],[])).
% 0.56/0.83 tff(688,plain,
% 0.56/0.83 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(equilibrium(sk3), sk2(sk3))) | greater(sk4(sk1(sk3)), sk2(sk3)) | (~greater(sk4(sk1(sk3)), equilibrium(sk3)))),
% 0.56/0.83 inference(modus_ponens,[status(thm)],[687, 686])).
% 0.56/0.83 tff(689,plain,
% 0.56/0.83 (greater(sk4(sk1(sk3)), sk2(sk3))),
% 0.56/0.83 inference(unit_resolution,[status(thm)],[688, 389, 682, 575])).
% 0.56/0.83 tff(690,assumption,(greater(sk4(sk1(sk3)), sk2(sk3))), introduced(assumption)).
% 0.56/0.83 tff(691,assumption,(~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))), introduced(assumption)).
% 0.56/0.83 tff(692,plain,
% 0.56/0.83 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(sk4(sk4(sk1(sk3))), sk2(sk3))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(sk4(sk4(sk1(sk3))), sk2(sk3))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)))),
% 0.56/0.83 inference(rewrite,[status(thm)],[])).
% 0.56/0.83 tff(693,plain,
% 0.56/0.83 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(sk4(sk4(sk1(sk3))), sk2(sk3))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)))),
% 0.56/0.83 inference(quant_inst,[status(thm)],[])).
% 0.56/0.83 tff(694,plain,
% 0.56/0.83 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(sk4(sk4(sk1(sk3))), sk2(sk3))) | greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))),
% 0.56/0.83 inference(modus_ponens,[status(thm)],[693, 692])).
% 0.56/0.83 tff(695,plain,
% 0.56/0.83 (~greater(sk4(sk4(sk1(sk3))), sk2(sk3))),
% 0.56/0.83 inference(unit_resolution,[status(thm)],[694, 260, 691])).
% 0.56/0.83 tff(696,assumption,(~greater(sk4(sk4(sk1(sk3))), sk2(sk3))), introduced(assumption)).
% 0.56/0.83 tff(697,assumption,(greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))), introduced(assumption)).
% 0.56/0.83 tff(698,plain,
% 0.56/0.83 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk4(sk4(sk1(sk3))), sk2(sk3)) | (~greater(sk4(sk1(sk3)), sk2(sk3))) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(sk4(sk4(sk1(sk3))), sk2(sk3)) | (~greater(sk4(sk1(sk3)), sk2(sk3))) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))),
% 0.56/0.83 inference(rewrite,[status(thm)],[])).
% 0.56/0.83 tff(699,plain,
% 0.56/0.83 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk4(sk4(sk1(sk3))), sk2(sk3)) | (~greater(sk4(sk1(sk3)), sk2(sk3))) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))))),
% 0.56/0.83 inference(quant_inst,[status(thm)],[])).
% 0.56/0.83 tff(700,plain,
% 0.56/0.83 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(sk4(sk4(sk1(sk3))), sk2(sk3)) | (~greater(sk4(sk1(sk3)), sk2(sk3))) | (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3))))),
% 0.56/0.83 inference(modus_ponens,[status(thm)],[699, 698])).
% 0.56/0.83 tff(701,plain,
% 0.56/0.83 ($false),
% 0.56/0.83 inference(unit_resolution,[status(thm)],[700, 389, 697, 690, 696])).
% 0.56/0.83 tff(702,plain,((~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))) | (~greater(sk4(sk1(sk3)), sk2(sk3))) | greater(sk4(sk4(sk1(sk3))), sk2(sk3))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.83 tff(703,plain,
% 0.56/0.83 (~greater(sk4(sk4(sk1(sk3))), sk4(sk1(sk3)))),
% 0.56/0.83 inference(unit_resolution,[status(thm)],[702, 695, 690])).
% 0.56/0.83 tff(704,plain,
% 0.56/0.83 (sk4(sk4(sk1(sk3))) = sk4(sk1(sk3))),
% 0.56/0.83 inference(unit_resolution,[status(thm)],[598, 703])).
% 0.56/0.83 tff(705,plain,
% 0.56/0.83 (greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)) <=> greater_or_equal(sk4(sk1(sk3)), sk2(sk3))),
% 0.56/0.83 inference(monotonicity,[status(thm)],[704])).
% 0.56/0.83 tff(706,plain,
% 0.56/0.83 (greater_or_equal(sk4(sk1(sk3)), sk2(sk3)) <=> greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))),
% 0.56/0.83 inference(symmetry,[status(thm)],[705])).
% 0.56/0.83 tff(707,plain,
% 0.56/0.83 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(sk4(sk1(sk3)), sk2(sk3))) | greater_or_equal(sk4(sk1(sk3)), sk2(sk3)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(sk4(sk1(sk3)), sk2(sk3))) | greater_or_equal(sk4(sk1(sk3)), sk2(sk3)))),
% 0.56/0.83 inference(rewrite,[status(thm)],[])).
% 0.56/0.83 tff(708,plain,
% 0.56/0.83 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(sk4(sk1(sk3)), sk2(sk3))) | greater_or_equal(sk4(sk1(sk3)), sk2(sk3)))),
% 0.56/0.83 inference(quant_inst,[status(thm)],[])).
% 0.56/0.83 tff(709,plain,
% 0.56/0.83 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(sk4(sk1(sk3)), sk2(sk3))) | greater_or_equal(sk4(sk1(sk3)), sk2(sk3))),
% 0.56/0.83 inference(modus_ponens,[status(thm)],[708, 707])).
% 0.56/0.83 tff(710,plain,
% 0.56/0.83 (greater_or_equal(sk4(sk1(sk3)), sk2(sk3))),
% 0.56/0.83 inference(unit_resolution,[status(thm)],[709, 260, 690])).
% 0.56/0.83 tff(711,plain,
% 0.56/0.83 (greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))),
% 0.56/0.83 inference(modus_ponens,[status(thm)],[710, 706])).
% 0.56/0.83 tff(712,plain,
% 0.56/0.83 ($false),
% 0.56/0.83 inference(unit_resolution,[status(thm)],[691, 711])).
% 0.56/0.83 tff(713,plain,(greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)) | (~greater(sk4(sk1(sk3)), sk2(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.83 tff(714,plain,
% 0.56/0.83 (greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))),
% 0.56/0.83 inference(unit_resolution,[status(thm)],[713, 689])).
% 0.56/0.83 tff(715,plain,
% 0.56/0.83 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | (~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))))),
% 0.56/0.83 inference(rewrite,[status(thm)],[])).
% 0.56/0.83 tff(716,plain,
% 0.56/0.83 (((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)))) <=> ((~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))))),
% 0.56/0.83 inference(rewrite,[status(thm)],[])).
% 0.56/0.83 tff(717,plain,
% 0.56/0.83 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)))))),
% 0.56/0.84 inference(monotonicity,[status(thm)],[716])).
% 0.56/0.84 tff(718,plain,
% 0.56/0.84 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | (~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))))),
% 0.56/0.84 inference(transitivity,[status(thm)],[717, 715])).
% 0.56/0.84 tff(719,plain,
% 0.56/0.84 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3))))),
% 0.56/0.84 inference(quant_inst,[status(thm)],[])).
% 0.56/0.84 tff(720,plain,
% 0.56/0.84 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | (~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)))),
% 0.56/0.84 inference(modus_ponens,[status(thm)],[719, 718])).
% 0.56/0.84 tff(721,plain,
% 0.56/0.84 (greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater_or_equal(sk4(sk4(sk1(sk3))), sk2(sk3)))),
% 0.56/0.84 inference(unit_resolution,[status(thm)],[720, 307, 7, 4, 553])).
% 0.56/0.84 tff(722,plain,
% 0.56/0.84 (greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.56/0.84 inference(unit_resolution,[status(thm)],[721, 714])).
% 0.56/0.84 tff(723,assumption,(~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)), introduced(assumption)).
% 0.56/0.84 tff(724,plain,
% 0.56/0.84 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3)))))),
% 0.56/0.84 inference(rewrite,[status(thm)],[])).
% 0.56/0.84 tff(725,plain,
% 0.56/0.84 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3)))))),
% 0.56/0.84 inference(quant_inst,[status(thm)],[])).
% 0.56/0.84 tff(726,plain,
% 0.56/0.84 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))),
% 0.56/0.84 inference(modus_ponens,[status(thm)],[725, 724])).
% 0.56/0.84 tff(727,plain,
% 0.56/0.84 (subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))),
% 0.56/0.84 inference(unit_resolution,[status(thm)],[726, 128, 7, 560])).
% 0.56/0.84 tff(728,plain,
% 0.56/0.84 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.56/0.84 inference(rewrite,[status(thm)],[])).
% 0.56/0.84 tff(729,plain,
% 0.56/0.84 (((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.56/0.84 inference(rewrite,[status(thm)],[])).
% 0.56/0.84 tff(730,plain,
% 0.56/0.84 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.56/0.84 inference(monotonicity,[status(thm)],[729])).
% 0.56/0.84 tff(731,plain,
% 0.56/0.84 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.56/0.84 inference(transitivity,[status(thm)],[730, 728])).
% 0.56/0.84 tff(732,plain,
% 0.56/0.84 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.56/0.84 inference(quant_inst,[status(thm)],[])).
% 0.56/0.84 tff(733,plain,
% 0.56/0.84 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)),
% 0.56/0.84 inference(modus_ponens,[status(thm)],[732, 731])).
% 0.56/0.84 tff(734,plain,
% 0.56/0.84 (greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)),
% 0.56/0.84 inference(unit_resolution,[status(thm)],[733, 142, 7, 553])).
% 0.56/0.84 tff(735,plain,
% 0.56/0.84 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.85 inference(rewrite,[status(thm)],[])).
% 0.56/0.85 tff(736,plain,
% 0.56/0.85 (((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.85 inference(rewrite,[status(thm)],[])).
% 0.56/0.85 tff(737,plain,
% 0.56/0.85 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.56/0.85 inference(monotonicity,[status(thm)],[736])).
% 0.56/0.85 tff(738,plain,
% 0.56/0.85 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.85 inference(transitivity,[status(thm)],[737, 735])).
% 0.56/0.85 tff(739,plain,
% 0.56/0.85 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.85 inference(quant_inst,[status(thm)],[])).
% 0.56/0.85 tff(740,plain,
% 0.56/0.85 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.56/0.85 inference(modus_ponens,[status(thm)],[739, 738])).
% 0.56/0.85 tff(741,plain,
% 0.56/0.85 (greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.56/0.85 inference(unit_resolution,[status(thm)],[740, 159, 7, 734, 560, 727])).
% 0.56/0.85 tff(742,plain,
% 0.56/0.85 (~increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))),
% 0.56/0.85 inference(unit_resolution,[status(thm)],[741, 723])).
% 0.56/0.85 tff(743,assumption,(constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))), introduced(assumption)).
% 0.56/0.85 tff(744,assumption,(greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))), introduced(assumption)).
% 0.56/0.85 tff(745,assumption,(greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero)), introduced(assumption)).
% 0.56/0.85 tff(746,plain,
% 0.56/0.85 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.85 inference(rewrite,[status(thm)],[])).
% 0.56/0.85 tff(747,plain,
% 0.56/0.85 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.85 inference(quant_inst,[status(thm)],[])).
% 0.56/0.85 tff(748,plain,
% 0.56/0.85 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))))),
% 0.56/0.85 inference(modus_ponens,[status(thm)],[747, 746])).
% 0.56/0.85 tff(749,plain,
% 0.56/0.85 ($false),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[748, 389, 744, 723, 745])).
% 0.56/0.86 tff(750,plain,((~greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)), inference(lemma,lemma(discharge,[]))).
% 0.56/0.86 tff(751,plain,
% 0.56/0.86 (~greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero)),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[750, 723, 744])).
% 0.56/0.86 tff(752,plain,
% 0.56/0.86 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero))),
% 0.56/0.86 inference(rewrite,[status(thm)],[])).
% 0.56/0.86 tff(753,plain,
% 0.56/0.86 (((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero))),
% 0.56/0.86 inference(rewrite,[status(thm)],[])).
% 0.56/0.86 tff(754,plain,
% 0.56/0.86 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.56/0.86 inference(monotonicity,[status(thm)],[753])).
% 0.56/0.86 tff(755,plain,
% 0.56/0.86 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero))),
% 0.56/0.86 inference(transitivity,[status(thm)],[754, 752])).
% 0.56/0.86 tff(756,plain,
% 0.56/0.86 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero))),
% 0.56/0.86 inference(quant_inst,[status(thm)],[])).
% 0.56/0.86 tff(757,plain,
% 0.56/0.86 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)),
% 0.56/0.86 inference(modus_ponens,[status(thm)],[756, 755])).
% 0.56/0.86 tff(758,plain,
% 0.56/0.86 (greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[757, 199, 7, 553])).
% 0.56/0.86 tff(759,plain,
% 0.56/0.86 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.86 inference(rewrite,[status(thm)],[])).
% 0.56/0.86 tff(760,plain,
% 0.56/0.86 (((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.86 inference(rewrite,[status(thm)],[])).
% 0.56/0.86 tff(761,plain,
% 0.56/0.86 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))))),
% 0.56/0.86 inference(monotonicity,[status(thm)],[760])).
% 0.56/0.86 tff(762,plain,
% 0.56/0.86 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.86 inference(transitivity,[status(thm)],[761, 759])).
% 0.56/0.86 tff(763,plain,
% 0.56/0.86 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.86 inference(quant_inst,[status(thm)],[])).
% 0.56/0.86 tff(764,plain,
% 0.56/0.86 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(growth_rate(C, B), zero) | (~increases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))),
% 0.56/0.86 inference(modus_ponens,[status(thm)],[763, 762])).
% 0.56/0.86 tff(765,plain,
% 0.56/0.86 (greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) | (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[764, 159, 7, 758, 560, 564])).
% 0.56/0.86 tff(766,plain,
% 0.56/0.86 (~increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.56/0.86 inference(unit_resolution,[status(thm)],[765, 751])).
% 0.56/0.86 tff(767,plain,
% 0.56/0.86 (((~![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C))))) | (constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))) <=> ((~![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C))))) | constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.56/0.86 inference(rewrite,[status(thm)],[])).
% 0.56/0.86 tff(768,plain,
% 0.56/0.86 ((~![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C))))) | (constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.56/0.86 inference(quant_inst,[status(thm)],[])).
% 0.56/0.86 tff(769,plain,
% 0.56/0.86 ((~![B: $i, C: $i] : (constant(B) | increases(C) | increases(B) | (~constant(sum(B, C))))) | constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.86 inference(modus_ponens,[status(thm)],[768, 767])).
% 0.56/0.86 tff(770,plain,
% 0.56/0.86 (constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.87 inference(unit_resolution,[status(thm)],[769, 425])).
% 0.56/0.87 tff(771,plain,
% 0.56/0.87 (constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.56/0.87 inference(unit_resolution,[status(thm)],[770, 766, 743, 742])).
% 0.56/0.87 tff(772,plain,
% 0.56/0.87 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.87 inference(rewrite,[status(thm)],[])).
% 0.56/0.87 tff(773,plain,
% 0.56/0.87 (((~environment(sk3)) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3)))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.87 inference(rewrite,[status(thm)],[])).
% 0.56/0.87 tff(774,plain,
% 0.56/0.87 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))))),
% 0.56/0.87 inference(monotonicity,[status(thm)],[773])).
% 0.56/0.87 tff(775,plain,
% 0.56/0.87 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.87 inference(transitivity,[status(thm)],[774, 772])).
% 0.56/0.87 tff(776,plain,
% 0.56/0.87 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))))),
% 0.56/0.87 inference(quant_inst,[status(thm)],[])).
% 0.56/0.87 tff(777,plain,
% 0.56/0.87 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))),
% 0.56/0.87 inference(modus_ponens,[status(thm)],[776, 775])).
% 0.56/0.87 tff(778,plain,
% 0.56/0.87 ((growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))),
% 0.56/0.87 inference(unit_resolution,[status(thm)],[777, 276, 7, 758, 560, 564])).
% 0.56/0.87 tff(779,plain,
% 0.56/0.87 (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero),
% 0.56/0.87 inference(unit_resolution,[status(thm)],[778, 771])).
% 0.56/0.87 tff(780,plain,
% 0.56/0.87 (greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) <=> greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)),
% 0.56/0.87 inference(monotonicity,[status(thm)],[779])).
% 0.56/0.87 tff(781,plain,
% 0.56/0.87 (greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) <=> greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.56/0.87 inference(symmetry,[status(thm)],[780])).
% 0.56/0.87 tff(782,plain,
% 0.56/0.87 ((~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) <=> (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))))),
% 0.56/0.87 inference(monotonicity,[status(thm)],[781])).
% 0.56/0.87 tff(783,plain,
% 0.56/0.87 (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.56/0.87 inference(modus_ponens,[status(thm)],[723, 782])).
% 0.56/0.87 tff(784,plain,
% 0.56/0.87 ($false),
% 0.56/0.87 inference(unit_resolution,[status(thm)],[744, 783])).
% 0.56/0.87 tff(785,plain,(greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))), inference(lemma,lemma(discharge,[]))).
% 0.56/0.87 tff(786,plain,
% 0.56/0.87 (greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)),
% 0.56/0.87 inference(unit_resolution,[status(thm)],[785, 722, 681])).
% 0.56/0.87 tff(787,plain,
% 0.56/0.87 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.56/0.87 inference(rewrite,[status(thm)],[])).
% 0.56/0.88 tff(788,plain,
% 0.56/0.88 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.56/0.88 inference(quant_inst,[status(thm)],[])).
% 0.56/0.88 tff(789,plain,
% 0.56/0.88 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)),
% 0.56/0.88 inference(modus_ponens,[status(thm)],[788, 787])).
% 0.56/0.88 tff(790,plain,
% 0.56/0.88 (greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)),
% 0.56/0.88 inference(unit_resolution,[status(thm)],[789, 260, 786])).
% 0.56/0.88 tff(791,plain,
% 0.56/0.88 (((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | ((~in_environment(sk3, sk4(sk1(sk3)))) | (~outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3))))))) <=> ((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | (~in_environment(sk3, sk4(sk1(sk3)))) | (~outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3))))))),
% 0.56/0.88 inference(rewrite,[status(thm)],[])).
% 0.56/0.88 tff(792,plain,
% 0.56/0.88 ((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | ((~in_environment(sk3, sk4(sk1(sk3)))) | (~outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3))))))),
% 0.56/0.88 inference(quant_inst,[status(thm)],[])).
% 0.56/0.88 tff(793,plain,
% 0.56/0.88 ((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | (~in_environment(sk3, sk4(sk1(sk3)))) | (~outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))))),
% 0.56/0.88 inference(modus_ponens,[status(thm)],[792, 791])).
% 0.56/0.88 tff(794,plain,
% 0.56/0.88 (~outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3))))),
% 0.56/0.88 inference(unit_resolution,[status(thm)],[793, 231, 549])).
% 0.56/0.88 tff(795,plain,
% 0.56/0.88 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | (~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.56/0.88 inference(rewrite,[status(thm)],[])).
% 0.56/0.88 tff(796,plain,
% 0.56/0.88 (((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3)))))) <=> ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.56/0.88 inference(rewrite,[status(thm)],[])).
% 0.56/0.88 tff(797,plain,
% 0.56/0.88 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero))))),
% 0.56/0.88 inference(monotonicity,[status(thm)],[796])).
% 0.56/0.88 tff(798,plain,
% 0.56/0.88 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | (~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.56/0.88 inference(transitivity,[status(thm)],[797, 795])).
% 0.56/0.88 tff(799,plain,
% 0.56/0.88 ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))))),
% 0.56/0.88 inference(quant_inst,[status(thm)],[])).
% 0.56/0.88 tff(800,plain,
% 0.56/0.88 ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | (~environment(sk3)) | outcompetes(efficient_producers, first_movers, sk4(sk4(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.56/0.88 inference(modus_ponens,[status(thm)],[799, 798])).
% 0.56/0.88 tff(801,plain,
% 0.56/0.88 ((~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) | (~greater_or_equal(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.56/0.88 inference(unit_resolution,[status(thm)],[800, 245, 7, 794, 553])).
% 0.56/0.88 tff(802,plain,
% 0.56/0.88 (~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.56/0.88 inference(unit_resolution,[status(thm)],[801, 790])).
% 0.56/0.88 tff(803,plain,
% 0.56/0.88 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.89 inference(rewrite,[status(thm)],[])).
% 0.56/0.89 tff(804,plain,
% 0.56/0.89 (((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))) <=> ((~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.89 inference(rewrite,[status(thm)],[])).
% 0.56/0.89 tff(805,plain,
% 0.56/0.89 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))))),
% 0.56/0.89 inference(monotonicity,[status(thm)],[804])).
% 0.56/0.89 tff(806,plain,
% 0.56/0.89 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.89 inference(transitivity,[status(thm)],[805, 803])).
% 0.56/0.89 tff(807,plain,
% 0.56/0.89 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.89 inference(quant_inst,[status(thm)],[])).
% 0.56/0.89 tff(808,plain,
% 0.56/0.89 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~greater(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(first_movers, sk3, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))),
% 0.56/0.89 inference(modus_ponens,[status(thm)],[807, 806])).
% 0.56/0.89 tff(809,plain,
% 0.56/0.89 (greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))))),
% 0.56/0.89 inference(unit_resolution,[status(thm)],[808, 216, 7, 758, 560, 564])).
% 0.56/0.89 tff(810,plain,
% 0.56/0.89 (~decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.56/0.89 inference(unit_resolution,[status(thm)],[809, 802])).
% 0.56/0.89 tff(811,plain,
% 0.56/0.89 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.56/0.89 inference(rewrite,[status(thm)],[])).
% 0.56/0.89 tff(812,plain,
% 0.56/0.89 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)))),
% 0.56/0.89 inference(quant_inst,[status(thm)],[])).
% 0.56/0.89 tff(813,plain,
% 0.56/0.89 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero))),
% 0.56/0.89 inference(modus_ponens,[status(thm)],[812, 811])).
% 0.56/0.89 tff(814,plain,
% 0.56/0.89 (~greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))))),
% 0.56/0.89 inference(unit_resolution,[status(thm)],[813, 375, 786])).
% 0.56/0.89 tff(815,plain,
% 0.56/0.89 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.56/0.89 inference(rewrite,[status(thm)],[])).
% 0.56/0.89 tff(816,plain,
% 0.56/0.89 (((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.67/0.90 inference(rewrite,[status(thm)],[])).
% 0.67/0.90 tff(817,plain,
% 0.67/0.90 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.67/0.90 inference(monotonicity,[status(thm)],[816])).
% 0.67/0.90 tff(818,plain,
% 0.67/0.90 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.67/0.90 inference(transitivity,[status(thm)],[817, 815])).
% 0.67/0.90 tff(819,plain,
% 0.67/0.90 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.67/0.90 inference(quant_inst,[status(thm)],[])).
% 0.67/0.90 tff(820,plain,
% 0.67/0.90 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.67/0.90 inference(modus_ponens,[status(thm)],[819, 818])).
% 0.67/0.90 tff(821,plain,
% 0.67/0.90 (greater(zero, growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))) | (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.67/0.90 inference(unit_resolution,[status(thm)],[820, 216, 7, 734, 560, 727])).
% 0.67/0.90 tff(822,plain,
% 0.67/0.90 (~decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))),
% 0.67/0.90 inference(unit_resolution,[status(thm)],[821, 814])).
% 0.67/0.90 tff(823,plain,
% 0.67/0.90 (((~![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))) | (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))) <=> ((~![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.67/0.90 inference(rewrite,[status(thm)],[])).
% 0.67/0.90 tff(824,plain,
% 0.67/0.90 ((~![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))) | (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.67/0.90 inference(quant_inst,[status(thm)],[])).
% 0.67/0.90 tff(825,plain,
% 0.67/0.90 ((~![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))) | decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.67/0.90 inference(modus_ponens,[status(thm)],[824, 823])).
% 0.67/0.90 tff(826,plain,
% 0.67/0.90 (decreases(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))) | decreases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3))))) | (~constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.67/0.90 inference(unit_resolution,[status(thm)],[825, 338])).
% 0.67/0.90 tff(827,plain,
% 0.67/0.90 (constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))),
% 0.67/0.90 inference(unit_resolution,[status(thm)],[826, 822, 681, 810])).
% 0.67/0.90 tff(828,plain,
% 0.67/0.90 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.67/0.91 inference(rewrite,[status(thm)],[])).
% 0.67/0.91 tff(829,plain,
% 0.67/0.91 (((~environment(sk3)) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3)))))) <=> ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.67/0.91 inference(rewrite,[status(thm)],[])).
% 0.67/0.91 tff(830,plain,
% 0.67/0.91 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))))),
% 0.67/0.91 inference(monotonicity,[status(thm)],[829])).
% 0.67/0.91 tff(831,plain,
% 0.67/0.91 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))))),
% 0.67/0.91 inference(transitivity,[status(thm)],[830, 828])).
% 0.67/0.91 tff(832,plain,
% 0.67/0.91 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))))) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))))),
% 0.67/0.91 inference(quant_inst,[status(thm)],[])).
% 0.67/0.91 tff(833,plain,
% 0.67/0.91 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) | (~in_environment(sk3, sk4(sk4(sk1(sk3))))) | (~subpopulation(efficient_producers, sk3, sk4(sk4(sk1(sk3))))) | (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.67/0.91 inference(modus_ponens,[status(thm)],[832, 831])).
% 0.67/0.91 tff(834,plain,
% 0.67/0.91 ((growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero) | (~constant(cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.67/0.91 inference(unit_resolution,[status(thm)],[833, 276, 7, 734, 560, 727])).
% 0.67/0.91 tff(835,plain,
% 0.67/0.91 (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = zero),
% 0.67/0.91 inference(unit_resolution,[status(thm)],[834, 827])).
% 0.67/0.91 tff(836,plain,
% 0.67/0.91 (greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))) <=> greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.67/0.91 inference(monotonicity,[status(thm)],[835])).
% 0.67/0.91 tff(837,plain,
% 0.67/0.91 (greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3))))) <=> greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.67/0.91 inference(symmetry,[status(thm)],[836])).
% 0.67/0.91 tff(838,plain,
% 0.67/0.91 ((~greater(zero, growth_rate(first_movers, sk4(sk4(sk1(sk3)))))) <=> (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3))))))),
% 0.67/0.91 inference(monotonicity,[status(thm)],[837])).
% 0.67/0.91 tff(839,plain,
% 0.67/0.91 (~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), growth_rate(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.67/0.91 inference(modus_ponens,[status(thm)],[802, 838])).
% 0.67/0.91 tff(840,plain,
% 0.67/0.91 ($false),
% 0.67/0.91 inference(unit_resolution,[status(thm)],[722, 839])).
% 0.67/0.91 tff(841,plain,((~greater(sk4(sk1(sk3)), equilibrium(sk3))) | (~greater(equilibrium(sk3), sk2(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.67/0.91 tff(842,plain,
% 0.67/0.91 (~greater(sk4(sk1(sk3)), equilibrium(sk3))),
% 0.67/0.91 inference(unit_resolution,[status(thm)],[841, 524])).
% 0.67/0.91 tff(843,plain,
% 0.67/0.91 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk4(sk1(sk3)), equilibrium(sk3)) | (~greater(sk1(sk3), equilibrium(sk3))) | (~greater(sk4(sk1(sk3)), sk1(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(sk4(sk1(sk3)), equilibrium(sk3)) | (~greater(sk1(sk3), equilibrium(sk3))) | (~greater(sk4(sk1(sk3)), sk1(sk3))))),
% 0.67/0.91 inference(rewrite,[status(thm)],[])).
% 0.67/0.91 tff(844,plain,
% 0.67/0.91 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk4(sk1(sk3)), equilibrium(sk3)) | (~greater(sk1(sk3), equilibrium(sk3))) | (~greater(sk4(sk1(sk3)), sk1(sk3))))),
% 0.67/0.91 inference(quant_inst,[status(thm)],[])).
% 0.67/0.91 tff(845,plain,
% 0.67/0.91 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | greater(sk4(sk1(sk3)), equilibrium(sk3)) | (~greater(sk1(sk3), equilibrium(sk3))) | (~greater(sk4(sk1(sk3)), sk1(sk3)))),
% 0.67/0.91 inference(modus_ponens,[status(thm)],[844, 843])).
% 0.67/0.91 tff(846,plain,
% 0.67/0.91 ($false),
% 0.67/0.91 inference(unit_resolution,[status(thm)],[845, 389, 1, 604, 842])).
% 0.67/0.91 tff(847,plain,((~greater(sk4(sk1(sk3)), sk1(sk3))) | (~greater(sk1(sk3), equilibrium(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.67/0.91 tff(848,plain,
% 0.67/0.91 (~greater(sk4(sk1(sk3)), sk1(sk3))),
% 0.67/0.91 inference(unit_resolution,[status(thm)],[847, 1])).
% 0.67/0.91 tff(849,plain,
% 0.67/0.91 (sk4(sk1(sk3)) = sk1(sk3)),
% 0.67/0.91 inference(unit_resolution,[status(thm)],[649, 848])).
% 0.67/0.91 tff(850,plain,
% 0.67/0.91 (sk1(sk3) = sk4(sk1(sk3))),
% 0.67/0.91 inference(symmetry,[status(thm)],[849])).
% 0.67/0.91 tff(851,plain,
% 0.67/0.91 (greater(sk1(sk3), equilibrium(sk3)) <=> greater(sk4(sk1(sk3)), equilibrium(sk3))),
% 0.67/0.91 inference(monotonicity,[status(thm)],[850])).
% 0.67/0.91 tff(852,plain,
% 0.67/0.91 (greater(sk4(sk1(sk3)), equilibrium(sk3)) <=> greater(sk1(sk3), equilibrium(sk3))),
% 0.67/0.91 inference(symmetry,[status(thm)],[851])).
% 0.67/0.91 tff(853,plain,
% 0.67/0.91 ((~greater(sk4(sk1(sk3)), equilibrium(sk3))) <=> (~greater(sk1(sk3), equilibrium(sk3)))),
% 0.67/0.91 inference(monotonicity,[status(thm)],[852])).
% 0.67/0.91 tff(854,plain,
% 0.67/0.91 (~greater(sk1(sk3), equilibrium(sk3))),
% 0.67/0.91 inference(modus_ponens,[status(thm)],[842, 853])).
% 0.67/0.91 tff(855,plain,
% 0.67/0.91 ($false),
% 0.67/0.91 inference(unit_resolution,[status(thm)],[1, 854])).
% 0.67/0.91 tff(856,plain,(~greater(sk1(sk3), equilibrium(sk3))), inference(lemma,lemma(discharge,[]))).
% 0.67/0.91 tff(857,plain,
% 0.67/0.91 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((~greater_or_equal(sk1(sk3), equilibrium(sk3))) | (sk1(sk3) = equilibrium(sk3)) | greater(sk1(sk3), equilibrium(sk3)))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (~greater_or_equal(sk1(sk3), equilibrium(sk3))) | (sk1(sk3) = equilibrium(sk3)) | greater(sk1(sk3), equilibrium(sk3)))),
% 0.67/0.91 inference(rewrite,[status(thm)],[])).
% 0.67/0.91 tff(858,plain,
% 0.67/0.91 (((sk1(sk3) = equilibrium(sk3)) | greater(sk1(sk3), equilibrium(sk3)) | (~greater_or_equal(sk1(sk3), equilibrium(sk3)))) <=> ((~greater_or_equal(sk1(sk3), equilibrium(sk3))) | (sk1(sk3) = equilibrium(sk3)) | greater(sk1(sk3), equilibrium(sk3)))),
% 0.67/0.91 inference(rewrite,[status(thm)],[])).
% 0.67/0.91 tff(859,plain,
% 0.67/0.91 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((sk1(sk3) = equilibrium(sk3)) | greater(sk1(sk3), equilibrium(sk3)) | (~greater_or_equal(sk1(sk3), equilibrium(sk3))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((~greater_or_equal(sk1(sk3), equilibrium(sk3))) | (sk1(sk3) = equilibrium(sk3)) | greater(sk1(sk3), equilibrium(sk3))))),
% 0.67/0.91 inference(monotonicity,[status(thm)],[858])).
% 0.67/0.91 tff(860,plain,
% 0.67/0.91 (((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((sk1(sk3) = equilibrium(sk3)) | greater(sk1(sk3), equilibrium(sk3)) | (~greater_or_equal(sk1(sk3), equilibrium(sk3))))) <=> ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (~greater_or_equal(sk1(sk3), equilibrium(sk3))) | (sk1(sk3) = equilibrium(sk3)) | greater(sk1(sk3), equilibrium(sk3)))),
% 0.67/0.91 inference(transitivity,[status(thm)],[859, 857])).
% 0.67/0.91 tff(861,plain,
% 0.67/0.91 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | ((sk1(sk3) = equilibrium(sk3)) | greater(sk1(sk3), equilibrium(sk3)) | (~greater_or_equal(sk1(sk3), equilibrium(sk3))))),
% 0.67/0.91 inference(quant_inst,[status(thm)],[])).
% 0.67/0.91 tff(862,plain,
% 0.67/0.91 ((~![B: $i, A: $i] : ((A = B) | greater(A, B) | (~greater_or_equal(A, B)))) | (~greater_or_equal(sk1(sk3), equilibrium(sk3))) | (sk1(sk3) = equilibrium(sk3)) | greater(sk1(sk3), equilibrium(sk3))),
% 0.67/0.91 inference(modus_ponens,[status(thm)],[861, 860])).
% 0.67/0.91 tff(863,plain,
% 0.67/0.91 ((sk1(sk3) = equilibrium(sk3)) | greater(sk1(sk3), equilibrium(sk3))),
% 0.67/0.91 inference(unit_resolution,[status(thm)],[862, 510, 618])).
% 0.67/0.91 tff(864,plain,
% 0.67/0.91 (sk1(sk3) = equilibrium(sk3)),
% 0.67/0.91 inference(unit_resolution,[status(thm)],[863, 856])).
% 0.67/0.91 tff(865,plain,
% 0.67/0.91 (greater_or_equal(sk1(sk3), sk2(sk3)) <=> greater_or_equal(equilibrium(sk3), sk2(sk3))),
% 0.67/0.91 inference(monotonicity,[status(thm)],[864])).
% 0.67/0.91 tff(866,plain,
% 0.67/0.91 (greater_or_equal(equilibrium(sk3), sk2(sk3)) <=> greater_or_equal(sk1(sk3), sk2(sk3))),
% 0.67/0.91 inference(symmetry,[status(thm)],[865])).
% 0.67/0.91 tff(867,plain,
% 0.67/0.91 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(equilibrium(sk3), sk2(sk3))) | greater_or_equal(equilibrium(sk3), sk2(sk3)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(equilibrium(sk3), sk2(sk3))) | greater_or_equal(equilibrium(sk3), sk2(sk3)))),
% 0.67/0.91 inference(rewrite,[status(thm)],[])).
% 0.67/0.91 tff(868,plain,
% 0.67/0.91 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(equilibrium(sk3), sk2(sk3))) | greater_or_equal(equilibrium(sk3), sk2(sk3)))),
% 0.67/0.91 inference(quant_inst,[status(thm)],[])).
% 0.67/0.91 tff(869,plain,
% 0.67/0.91 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(equilibrium(sk3), sk2(sk3))) | greater_or_equal(equilibrium(sk3), sk2(sk3))),
% 0.67/0.91 inference(modus_ponens,[status(thm)],[868, 867])).
% 0.67/0.92 tff(870,plain,
% 0.67/0.92 (greater_or_equal(equilibrium(sk3), sk2(sk3))),
% 0.67/0.92 inference(unit_resolution,[status(thm)],[869, 260, 524])).
% 0.67/0.92 tff(871,plain,
% 0.67/0.92 (greater_or_equal(sk1(sk3), sk2(sk3))),
% 0.67/0.92 inference(modus_ponens,[status(thm)],[870, 866])).
% 0.67/0.92 tff(872,plain,
% 0.67/0.92 (greater(sk4(sk1(sk3)), sk1(sk3)) <=> greater(sk4(sk1(sk3)), equilibrium(sk3))),
% 0.67/0.92 inference(monotonicity,[status(thm)],[864])).
% 0.67/0.92 tff(873,plain,
% 0.67/0.92 (greater(sk4(sk1(sk3)), equilibrium(sk3)) <=> greater(sk4(sk1(sk3)), sk1(sk3))),
% 0.67/0.92 inference(symmetry,[status(thm)],[872])).
% 0.67/0.92 tff(874,plain,
% 0.67/0.92 ((~greater(sk4(sk1(sk3)), equilibrium(sk3))) <=> (~greater(sk4(sk1(sk3)), sk1(sk3)))),
% 0.67/0.92 inference(monotonicity,[status(thm)],[873])).
% 0.67/0.92 tff(875,plain,
% 0.67/0.92 (~greater(sk4(sk1(sk3)), sk1(sk3))),
% 0.67/0.92 inference(modus_ponens,[status(thm)],[842, 874])).
% 0.67/0.92 tff(876,plain,
% 0.67/0.92 (sk4(sk1(sk3)) = sk1(sk3)),
% 0.67/0.92 inference(unit_resolution,[status(thm)],[649, 875])).
% 0.67/0.92 tff(877,assumption,(sk1(sk3) = equilibrium(sk3)), introduced(assumption)).
% 0.67/0.92 tff(878,plain,
% 0.67/0.92 (growth_rate(first_movers, sk1(sk3)) = growth_rate(first_movers, equilibrium(sk3))),
% 0.67/0.92 inference(monotonicity,[status(thm)],[877])).
% 0.67/0.92 tff(879,plain,
% 0.67/0.92 (equilibrium(sk3) = sk1(sk3)),
% 0.67/0.92 inference(symmetry,[status(thm)],[877])).
% 0.67/0.92 tff(880,plain,
% 0.67/0.92 (growth_rate(efficient_producers, equilibrium(sk3)) = growth_rate(efficient_producers, sk1(sk3))),
% 0.67/0.92 inference(monotonicity,[status(thm)],[879])).
% 0.67/0.92 tff(881,plain,
% 0.67/0.92 (growth_rate(efficient_producers, sk1(sk3)) = growth_rate(efficient_producers, equilibrium(sk3))),
% 0.67/0.92 inference(symmetry,[status(thm)],[880])).
% 0.67/0.92 tff(882,assumption,(sk4(sk1(sk3)) = sk1(sk3)), introduced(assumption)).
% 0.67/0.92 tff(883,plain,
% 0.67/0.92 (cardinality_at_time(efficient_producers, sk4(sk1(sk3))) = cardinality_at_time(efficient_producers, sk1(sk3))),
% 0.67/0.92 inference(monotonicity,[status(thm)],[882])).
% 0.67/0.92 tff(884,plain,
% 0.67/0.92 (greater(cardinality_at_time(efficient_producers, sk4(sk1(sk3))), zero) <=> greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)),
% 0.67/0.92 inference(monotonicity,[status(thm)],[883])).
% 0.67/0.92 tff(885,plain,
% 0.67/0.92 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, sk4(sk1(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, sk4(sk1(sk3))), zero))),
% 0.67/0.92 inference(rewrite,[status(thm)],[])).
% 0.67/0.92 tff(886,plain,
% 0.67/0.92 (((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk1(sk3))), zero)) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, sk4(sk1(sk3))), zero))),
% 0.67/0.92 inference(rewrite,[status(thm)],[])).
% 0.67/0.92 tff(887,plain,
% 0.67/0.92 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk1(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, sk4(sk1(sk3))), zero)))),
% 0.67/0.92 inference(monotonicity,[status(thm)],[886])).
% 0.67/0.92 tff(888,plain,
% 0.67/0.92 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk1(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, sk4(sk1(sk3))), zero))),
% 0.67/0.92 inference(transitivity,[status(thm)],[887, 885])).
% 0.67/0.92 tff(889,plain,
% 0.67/0.92 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(efficient_producers, sk4(sk1(sk3))), zero))),
% 0.67/0.92 inference(quant_inst,[status(thm)],[])).
% 0.67/0.92 tff(890,plain,
% 0.67/0.92 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, sk4(sk1(sk3))), zero)),
% 0.67/0.92 inference(modus_ponens,[status(thm)],[889, 888])).
% 0.67/0.92 tff(891,plain,
% 0.67/0.92 (greater(cardinality_at_time(efficient_producers, sk4(sk1(sk3))), zero)),
% 0.67/0.92 inference(unit_resolution,[status(thm)],[890, 142, 7, 542])).
% 0.67/0.92 tff(892,plain,
% 0.67/0.92 (greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)),
% 0.67/0.92 inference(modus_ponens,[status(thm)],[891, 884])).
% 0.67/0.92 tff(893,plain,
% 0.67/0.92 (cardinality_at_time(first_movers, sk4(sk1(sk3))) = cardinality_at_time(first_movers, sk1(sk3))),
% 0.67/0.92 inference(monotonicity,[status(thm)],[882])).
% 0.67/0.92 tff(894,plain,
% 0.67/0.92 (greater(cardinality_at_time(first_movers, sk4(sk1(sk3))), zero) <=> greater(cardinality_at_time(first_movers, sk1(sk3)), zero)),
% 0.67/0.92 inference(monotonicity,[status(thm)],[893])).
% 0.67/0.92 tff(895,plain,
% 0.67/0.92 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | greater(cardinality_at_time(first_movers, sk4(sk1(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | greater(cardinality_at_time(first_movers, sk4(sk1(sk3))), zero))),
% 0.67/0.92 inference(rewrite,[status(thm)],[])).
% 0.67/0.92 tff(896,plain,
% 0.67/0.92 (((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk1(sk3))), zero)) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | greater(cardinality_at_time(first_movers, sk4(sk1(sk3))), zero))),
% 0.67/0.92 inference(rewrite,[status(thm)],[])).
% 0.67/0.92 tff(897,plain,
% 0.67/0.92 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk1(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | greater(cardinality_at_time(first_movers, sk4(sk1(sk3))), zero)))),
% 0.67/0.92 inference(monotonicity,[status(thm)],[896])).
% 0.67/0.92 tff(898,plain,
% 0.67/0.92 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk1(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | greater(cardinality_at_time(first_movers, sk4(sk1(sk3))), zero))),
% 0.67/0.93 inference(transitivity,[status(thm)],[897, 895])).
% 0.67/0.93 tff(899,plain,
% 0.67/0.93 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | (~environment(sk3)) | greater(cardinality_at_time(first_movers, sk4(sk1(sk3))), zero))),
% 0.67/0.93 inference(quant_inst,[status(thm)],[])).
% 0.67/0.93 tff(900,plain,
% 0.67/0.93 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(cardinality_at_time(first_movers, B), zero))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))) | greater(cardinality_at_time(first_movers, sk4(sk1(sk3))), zero)),
% 0.67/0.93 inference(modus_ponens,[status(thm)],[899, 898])).
% 0.67/0.93 tff(901,plain,
% 0.67/0.93 (greater(cardinality_at_time(first_movers, sk4(sk1(sk3))), zero)),
% 0.67/0.93 inference(unit_resolution,[status(thm)],[900, 199, 7, 542])).
% 0.67/0.93 tff(902,plain,
% 0.67/0.93 (greater(cardinality_at_time(first_movers, sk1(sk3)), zero)),
% 0.67/0.93 inference(modus_ponens,[status(thm)],[901, 894])).
% 0.67/0.93 tff(903,plain,
% 0.67/0.93 (growth_rate(first_movers, equilibrium(sk3)) = growth_rate(first_movers, sk1(sk3))),
% 0.67/0.93 inference(symmetry,[status(thm)],[878])).
% 0.67/0.93 tff(904,plain,
% 0.67/0.93 (greater(zero, growth_rate(first_movers, equilibrium(sk3))) <=> greater(zero, growth_rate(first_movers, sk1(sk3)))),
% 0.67/0.93 inference(monotonicity,[status(thm)],[903])).
% 0.67/0.93 tff(905,plain,
% 0.67/0.93 ((~greater(zero, growth_rate(first_movers, equilibrium(sk3)))) <=> (~greater(zero, growth_rate(first_movers, sk1(sk3))))),
% 0.67/0.93 inference(monotonicity,[status(thm)],[904])).
% 0.67/0.93 tff(906,plain,
% 0.67/0.93 (sk1(sk3) = sk4(sk1(sk3))),
% 0.67/0.93 inference(symmetry,[status(thm)],[882])).
% 0.67/0.93 tff(907,plain,
% 0.67/0.93 (equilibrium(sk3) = sk4(sk1(sk3))),
% 0.67/0.93 inference(transitivity,[status(thm)],[879, 906])).
% 0.67/0.93 tff(908,plain,
% 0.67/0.93 (outcompetes(efficient_producers, first_movers, equilibrium(sk3)) <=> outcompetes(efficient_producers, first_movers, sk4(sk1(sk3)))),
% 0.67/0.93 inference(monotonicity,[status(thm)],[907])).
% 0.67/0.93 tff(909,plain,
% 0.67/0.93 (outcompetes(efficient_producers, first_movers, sk4(sk1(sk3))) <=> outcompetes(efficient_producers, first_movers, equilibrium(sk3))),
% 0.67/0.93 inference(symmetry,[status(thm)],[908])).
% 0.67/0.93 tff(910,plain,
% 0.67/0.93 ((~outcompetes(efficient_producers, first_movers, sk4(sk1(sk3)))) <=> (~outcompetes(efficient_producers, first_movers, equilibrium(sk3)))),
% 0.67/0.93 inference(monotonicity,[status(thm)],[909])).
% 0.67/0.93 tff(911,plain,
% 0.67/0.93 (((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | ((~in_environment(sk3, sk1(sk3))) | (~outcompetes(efficient_producers, first_movers, sk4(sk1(sk3)))))) <=> ((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | (~in_environment(sk3, sk1(sk3))) | (~outcompetes(efficient_producers, first_movers, sk4(sk1(sk3)))))),
% 0.67/0.93 inference(rewrite,[status(thm)],[])).
% 0.67/0.93 tff(912,plain,
% 0.67/0.93 ((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | ((~in_environment(sk3, sk1(sk3))) | (~outcompetes(efficient_producers, first_movers, sk4(sk1(sk3)))))),
% 0.67/0.93 inference(quant_inst,[status(thm)],[])).
% 0.67/0.93 tff(913,plain,
% 0.67/0.93 ((~![A: $i] : ((~in_environment(sk3, A)) | (~outcompetes(efficient_producers, first_movers, sk4(A))))) | (~in_environment(sk3, sk1(sk3))) | (~outcompetes(efficient_producers, first_movers, sk4(sk1(sk3))))),
% 0.67/0.93 inference(modus_ponens,[status(thm)],[912, 911])).
% 0.67/0.93 tff(914,plain,
% 0.67/0.93 (~outcompetes(efficient_producers, first_movers, sk4(sk1(sk3)))),
% 0.67/0.93 inference(unit_resolution,[status(thm)],[913, 231, 538])).
% 0.67/0.93 tff(915,plain,
% 0.67/0.93 (~outcompetes(efficient_producers, first_movers, equilibrium(sk3))),
% 0.67/0.93 inference(modus_ponens,[status(thm)],[914, 910])).
% 0.67/0.93 tff(916,plain,
% 0.67/0.93 (greater(growth_rate(efficient_producers, equilibrium(sk3)), zero) <=> greater(growth_rate(efficient_producers, sk1(sk3)), zero)),
% 0.67/0.93 inference(monotonicity,[status(thm)],[880])).
% 0.67/0.93 tff(917,plain,
% 0.67/0.93 (greater(growth_rate(efficient_producers, sk1(sk3)), zero) <=> greater(growth_rate(efficient_producers, equilibrium(sk3)), zero)),
% 0.67/0.93 inference(symmetry,[status(thm)],[916])).
% 0.67/0.93 tff(918,plain,
% 0.67/0.93 (sk4(sk4(sk1(sk3))) = sk4(sk1(sk3))),
% 0.67/0.93 inference(monotonicity,[status(thm)],[882])).
% 0.67/0.93 tff(919,plain,
% 0.67/0.93 (sk4(sk4(sk1(sk3))) = equilibrium(sk3)),
% 0.67/0.93 inference(transitivity,[status(thm)],[918, 882, 877])).
% 0.67/0.93 tff(920,plain,
% 0.67/0.93 (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = growth_rate(efficient_producers, equilibrium(sk3))),
% 0.67/0.93 inference(monotonicity,[status(thm)],[919])).
% 0.67/0.93 tff(921,plain,
% 0.67/0.93 (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = growth_rate(efficient_producers, sk1(sk3))),
% 0.67/0.93 inference(transitivity,[status(thm)],[920, 880])).
% 0.67/0.93 tff(922,plain,
% 0.67/0.93 (greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) <=> greater(growth_rate(efficient_producers, sk1(sk3)), zero)),
% 0.67/0.93 inference(monotonicity,[status(thm)],[921])).
% 0.67/0.93 tff(923,plain,
% 0.67/0.93 (greater(growth_rate(efficient_producers, sk1(sk3)), growth_rate(first_movers, sk1(sk3))) <=> greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3)))),
% 0.67/0.93 inference(monotonicity,[status(thm)],[881, 878])).
% 0.67/0.93 tff(924,plain,
% 0.67/0.93 (subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3))) <=> subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))),
% 0.67/0.93 inference(monotonicity,[status(thm)],[882])).
% 0.67/0.93 tff(925,plain,
% 0.67/0.93 (subpopulations(first_movers, efficient_producers, sk3, sk1(sk3)) <=> subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))),
% 0.67/0.93 inference(symmetry,[status(thm)],[924])).
% 0.67/0.93 tff(926,plain,
% 0.67/0.93 ((~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))) <=> (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3))))),
% 0.67/0.93 inference(monotonicity,[status(thm)],[925])).
% 0.67/0.93 tff(927,assumption,(~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))), introduced(assumption)).
% 0.67/0.93 tff(928,plain,
% 0.67/0.93 (~subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3)))),
% 0.67/0.93 inference(modus_ponens,[status(thm)],[927, 926])).
% 0.67/0.93 tff(929,plain,
% 0.67/0.93 ($false),
% 0.67/0.93 inference(unit_resolution,[status(thm)],[542, 928])).
% 0.67/0.93 tff(930,plain,((~(sk4(sk1(sk3)) = sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))), inference(lemma,lemma(discharge,[]))).
% 0.67/0.93 tff(931,plain,
% 0.67/0.93 (subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))),
% 0.67/0.93 inference(unit_resolution,[status(thm)],[930, 882])).
% 0.67/0.93 tff(932,assumption,(greater_or_equal(sk1(sk3), sk2(sk3))), introduced(assumption)).
% 0.67/0.93 tff(933,plain,
% 0.67/0.93 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))) | greater(growth_rate(efficient_producers, sk1(sk3)), growth_rate(first_movers, sk1(sk3))) | (~greater_or_equal(sk1(sk3), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | (~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))) | greater(growth_rate(efficient_producers, sk1(sk3)), growth_rate(first_movers, sk1(sk3))) | (~greater_or_equal(sk1(sk3), sk2(sk3))))),
% 0.67/0.93 inference(rewrite,[status(thm)],[])).
% 0.67/0.93 tff(934,plain,
% 0.67/0.93 (((~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk1(sk3)), growth_rate(first_movers, sk1(sk3))) | (~greater_or_equal(sk1(sk3), sk2(sk3)))) <=> ((~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))) | greater(growth_rate(efficient_producers, sk1(sk3)), growth_rate(first_movers, sk1(sk3))) | (~greater_or_equal(sk1(sk3), sk2(sk3))))),
% 0.67/0.94 inference(rewrite,[status(thm)],[])).
% 0.67/0.94 tff(935,plain,
% 0.67/0.94 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk1(sk3)), growth_rate(first_movers, sk1(sk3))) | (~greater_or_equal(sk1(sk3), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))) | greater(growth_rate(efficient_producers, sk1(sk3)), growth_rate(first_movers, sk1(sk3))) | (~greater_or_equal(sk1(sk3), sk2(sk3)))))),
% 0.67/0.94 inference(monotonicity,[status(thm)],[934])).
% 0.67/0.94 tff(936,plain,
% 0.67/0.94 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk1(sk3)), growth_rate(first_movers, sk1(sk3))) | (~greater_or_equal(sk1(sk3), sk2(sk3))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | (~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))) | greater(growth_rate(efficient_producers, sk1(sk3)), growth_rate(first_movers, sk1(sk3))) | (~greater_or_equal(sk1(sk3), sk2(sk3))))),
% 0.67/0.94 inference(transitivity,[status(thm)],[935, 933])).
% 0.67/0.94 tff(937,plain,
% 0.67/0.94 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | ((~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))) | (~environment(sk3)) | (~stable(sk3)) | greater(growth_rate(efficient_producers, sk1(sk3)), growth_rate(first_movers, sk1(sk3))) | (~greater_or_equal(sk1(sk3), sk2(sk3))))),
% 0.67/0.94 inference(quant_inst,[status(thm)],[])).
% 0.67/0.94 tff(938,plain,
% 0.67/0.94 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | (~stable(A)) | greater(growth_rate(efficient_producers, B), growth_rate(first_movers, B)) | (~greater_or_equal(B, sk2(A))))) | (~environment(sk3)) | (~stable(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))) | greater(growth_rate(efficient_producers, sk1(sk3)), growth_rate(first_movers, sk1(sk3))) | (~greater_or_equal(sk1(sk3), sk2(sk3)))),
% 0.67/0.94 inference(modus_ponens,[status(thm)],[937, 936])).
% 0.67/0.94 tff(939,plain,
% 0.67/0.94 ((~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))) | greater(growth_rate(efficient_producers, sk1(sk3)), growth_rate(first_movers, sk1(sk3)))),
% 0.67/0.94 inference(unit_resolution,[status(thm)],[938, 307, 7, 4, 932])).
% 0.67/0.94 tff(940,plain,
% 0.67/0.94 (greater(growth_rate(efficient_producers, sk1(sk3)), growth_rate(first_movers, sk1(sk3)))),
% 0.67/0.94 inference(unit_resolution,[status(thm)],[939, 931])).
% 0.67/0.94 tff(941,plain,
% 0.67/0.94 (greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3)))),
% 0.67/0.94 inference(modus_ponens,[status(thm)],[940, 923])).
% 0.67/0.94 tff(942,plain,
% 0.67/0.94 (growth_rate(efficient_producers, sk1(sk3)) = growth_rate(efficient_producers, equilibrium(sk3))),
% 0.67/0.94 inference(monotonicity,[status(thm)],[877])).
% 0.67/0.94 tff(943,plain,
% 0.67/0.94 (growth_rate(efficient_producers, equilibrium(sk3)) = growth_rate(efficient_producers, sk1(sk3))),
% 0.67/0.94 inference(symmetry,[status(thm)],[942])).
% 0.67/0.94 tff(944,plain,
% 0.67/0.94 (greater(growth_rate(efficient_producers, equilibrium(sk3)), zero) <=> greater(growth_rate(efficient_producers, sk1(sk3)), zero)),
% 0.67/0.94 inference(monotonicity,[status(thm)],[943])).
% 0.67/0.94 tff(945,plain,
% 0.67/0.94 (greater(growth_rate(efficient_producers, sk1(sk3)), zero) <=> greater(growth_rate(efficient_producers, equilibrium(sk3)), zero)),
% 0.67/0.94 inference(symmetry,[status(thm)],[944])).
% 0.67/0.94 tff(946,plain,
% 0.67/0.94 ((~greater(growth_rate(efficient_producers, sk1(sk3)), zero)) <=> (~greater(growth_rate(efficient_producers, equilibrium(sk3)), zero))),
% 0.67/0.94 inference(monotonicity,[status(thm)],[945])).
% 0.67/0.94 tff(947,plain,
% 0.67/0.94 (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = growth_rate(efficient_producers, sk1(sk3))),
% 0.67/0.94 inference(transitivity,[status(thm)],[920, 943])).
% 0.67/0.94 tff(948,plain,
% 0.67/0.94 (greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) <=> greater(growth_rate(efficient_producers, sk1(sk3)), zero)),
% 0.67/0.94 inference(monotonicity,[status(thm)],[947])).
% 0.67/0.94 tff(949,plain,
% 0.67/0.94 ((~greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)) <=> (~greater(growth_rate(efficient_producers, sk1(sk3)), zero))),
% 0.67/0.94 inference(monotonicity,[status(thm)],[948])).
% 0.67/0.94 tff(950,plain,
% 0.67/0.94 (~greater(growth_rate(efficient_producers, sk1(sk3)), zero)),
% 0.67/0.94 inference(modus_ponens,[status(thm)],[723, 949])).
% 0.67/0.94 tff(951,plain,
% 0.67/0.94 (~greater(growth_rate(efficient_producers, equilibrium(sk3)), zero)),
% 0.67/0.94 inference(modus_ponens,[status(thm)],[950, 946])).
% 0.67/0.94 tff(952,plain,
% 0.67/0.94 (greater(growth_rate(first_movers, equilibrium(sk3)), zero) <=> greater(growth_rate(first_movers, sk1(sk3)), zero)),
% 0.67/0.94 inference(monotonicity,[status(thm)],[903])).
% 0.67/0.94 tff(953,plain,
% 0.67/0.94 (greater(growth_rate(first_movers, sk1(sk3)), zero) <=> greater(growth_rate(first_movers, equilibrium(sk3)), zero)),
% 0.67/0.94 inference(symmetry,[status(thm)],[952])).
% 0.67/0.94 tff(954,plain,
% 0.67/0.94 (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = growth_rate(first_movers, equilibrium(sk3))),
% 0.67/0.94 inference(monotonicity,[status(thm)],[919])).
% 0.67/0.94 tff(955,plain,
% 0.67/0.94 (growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = growth_rate(first_movers, sk1(sk3))),
% 0.67/0.94 inference(transitivity,[status(thm)],[954, 903])).
% 0.67/0.94 tff(956,plain,
% 0.67/0.94 (greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero) <=> greater(growth_rate(first_movers, sk1(sk3)), zero)),
% 0.67/0.94 inference(monotonicity,[status(thm)],[955])).
% 0.67/0.94 tff(957,plain,
% 0.67/0.94 (sk4(sk4(sk1(sk3))) = sk1(sk3)),
% 0.67/0.94 inference(transitivity,[status(thm)],[918, 882])).
% 0.67/0.94 tff(958,plain,
% 0.67/0.94 (number_of_organizations(sk3, sk4(sk4(sk1(sk3)))) = number_of_organizations(sk3, sk1(sk3))),
% 0.67/0.94 inference(monotonicity,[status(thm)],[957])).
% 0.67/0.94 tff(959,plain,
% 0.67/0.94 (constant(number_of_organizations(sk3, sk4(sk4(sk1(sk3))))) <=> constant(number_of_organizations(sk3, sk1(sk3)))),
% 0.67/0.94 inference(monotonicity,[status(thm)],[958])).
% 0.67/0.94 tff(960,plain,
% 0.67/0.94 (constant(number_of_organizations(sk3, sk1(sk3))) <=> constant(number_of_organizations(sk3, sk4(sk4(sk1(sk3)))))),
% 0.67/0.94 inference(symmetry,[status(thm)],[959])).
% 0.67/0.94 tff(961,plain,
% 0.67/0.94 (constant(number_of_organizations(sk3, sk1(sk3))) <=> constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.67/0.94 inference(transitivity,[status(thm)],[960, 574])).
% 0.67/0.94 tff(962,plain,
% 0.67/0.94 (((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | ((~environment(sk3)) | greater(number_of_organizations(sk3, sk1(sk3)), zero) | (~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk1(sk3)), zero) | (~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))))),
% 0.67/0.95 inference(rewrite,[status(thm)],[])).
% 0.67/0.95 tff(963,plain,
% 0.67/0.95 (((~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk1(sk3)), zero)) <=> ((~environment(sk3)) | greater(number_of_organizations(sk3, sk1(sk3)), zero) | (~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))))),
% 0.67/0.95 inference(rewrite,[status(thm)],[])).
% 0.67/0.95 tff(964,plain,
% 0.67/0.95 (((~![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, sk3, sk1(sk3))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk1(sk3)), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | ((~environment(sk3)) | greater(number_of_organizations(sk3, sk1(sk3)), zero) | (~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3)))))),
% 0.67/0.95 inference(monotonicity,[status(thm)],[963])).
% 0.67/0.95 tff(965,plain,
% 0.67/0.95 (((~![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, sk3, sk1(sk3))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk1(sk3)), zero))) <=> ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk1(sk3)), zero) | (~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3))))),
% 0.67/0.95 inference(transitivity,[status(thm)],[964, 962])).
% 0.67/0.95 tff(966,plain,
% 0.67/0.95 ((~![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, sk3, sk1(sk3))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk1(sk3)), zero))),
% 0.67/0.95 inference(quant_inst,[status(thm)],[])).
% 0.67/0.95 tff(967,plain,
% 0.67/0.95 ((~![B: $i, A: $i] : ((~subpopulations(first_movers, efficient_producers, A, B)) | (~environment(A)) | greater(number_of_organizations(A, B), zero))) | (~environment(sk3)) | greater(number_of_organizations(sk3, sk1(sk3)), zero) | (~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3)))),
% 0.67/0.95 inference(modus_ponens,[status(thm)],[966, 965])).
% 0.67/0.95 tff(968,plain,
% 0.67/0.95 (greater(number_of_organizations(sk3, sk1(sk3)), zero) | (~subpopulations(first_movers, efficient_producers, sk3, sk1(sk3)))),
% 0.67/0.95 inference(unit_resolution,[status(thm)],[967, 463, 7])).
% 0.67/0.95 tff(969,plain,
% 0.67/0.95 (greater(number_of_organizations(sk3, sk1(sk3)), zero)),
% 0.67/0.95 inference(unit_resolution,[status(thm)],[968, 931])).
% 0.67/0.95 tff(970,plain,
% 0.67/0.95 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | constant(resources(sk3, sk1(sk3))) | greater(equilibrium(sk3), sk1(sk3)) | (~greater(number_of_organizations(sk3, sk1(sk3)), zero)))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | (~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | constant(resources(sk3, sk1(sk3))) | greater(equilibrium(sk3), sk1(sk3)) | (~greater(number_of_organizations(sk3, sk1(sk3)), zero)))),
% 0.67/0.95 inference(rewrite,[status(thm)],[])).
% 0.67/0.95 tff(971,plain,
% 0.67/0.95 (((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | greater(equilibrium(sk3), sk1(sk3)) | constant(resources(sk3, sk1(sk3))) | (~greater(number_of_organizations(sk3, sk1(sk3)), zero))) <=> ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | constant(resources(sk3, sk1(sk3))) | greater(equilibrium(sk3), sk1(sk3)) | (~greater(number_of_organizations(sk3, sk1(sk3)), zero)))),
% 0.67/0.95 inference(rewrite,[status(thm)],[])).
% 0.67/0.95 tff(972,plain,
% 0.67/0.95 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | greater(equilibrium(sk3), sk1(sk3)) | constant(resources(sk3, sk1(sk3))) | (~greater(number_of_organizations(sk3, sk1(sk3)), zero)))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | constant(resources(sk3, sk1(sk3))) | greater(equilibrium(sk3), sk1(sk3)) | (~greater(number_of_organizations(sk3, sk1(sk3)), zero))))),
% 0.67/0.95 inference(monotonicity,[status(thm)],[971])).
% 0.67/0.95 tff(973,plain,
% 0.67/0.95 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | greater(equilibrium(sk3), sk1(sk3)) | constant(resources(sk3, sk1(sk3))) | (~greater(number_of_organizations(sk3, sk1(sk3)), zero)))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | (~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | constant(resources(sk3, sk1(sk3))) | greater(equilibrium(sk3), sk1(sk3)) | (~greater(number_of_organizations(sk3, sk1(sk3)), zero)))),
% 0.67/0.95 inference(transitivity,[status(thm)],[972, 970])).
% 0.67/0.95 tff(974,plain,
% 0.67/0.95 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | greater(equilibrium(sk3), sk1(sk3)) | constant(resources(sk3, sk1(sk3))) | (~greater(number_of_organizations(sk3, sk1(sk3)), zero)))),
% 0.67/0.95 inference(quant_inst,[status(thm)],[])).
% 0.67/0.95 tff(975,plain,
% 0.67/0.95 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | greater(equilibrium(A), B) | constant(resources(A, B)) | (~greater(number_of_organizations(A, B), zero)))) | (~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | constant(resources(sk3, sk1(sk3))) | greater(equilibrium(sk3), sk1(sk3)) | (~greater(number_of_organizations(sk3, sk1(sk3)), zero))),
% 0.67/0.95 inference(modus_ponens,[status(thm)],[974, 973])).
% 0.67/0.95 tff(976,plain,
% 0.67/0.95 (constant(resources(sk3, sk1(sk3))) | greater(equilibrium(sk3), sk1(sk3)) | (~greater(number_of_organizations(sk3, sk1(sk3)), zero))),
% 0.67/0.95 inference(unit_resolution,[status(thm)],[975, 480, 7, 538])).
% 0.67/0.95 tff(977,plain,
% 0.67/0.95 (constant(resources(sk3, sk1(sk3))) | (~greater(number_of_organizations(sk3, sk1(sk3)), zero))),
% 0.67/0.95 inference(unit_resolution,[status(thm)],[976, 632])).
% 0.67/0.95 tff(978,plain,
% 0.67/0.95 (constant(resources(sk3, sk1(sk3)))),
% 0.67/0.95 inference(unit_resolution,[status(thm)],[977, 969])).
% 0.67/0.95 tff(979,plain,
% 0.67/0.95 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | constant(number_of_organizations(sk3, sk1(sk3))) | (~constant(resources(sk3, sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | (~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | constant(number_of_organizations(sk3, sk1(sk3))) | (~constant(resources(sk3, sk1(sk3)))))),
% 0.67/0.95 inference(rewrite,[status(thm)],[])).
% 0.67/0.95 tff(980,plain,
% 0.67/0.95 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | constant(number_of_organizations(sk3, sk1(sk3))) | (~constant(resources(sk3, sk1(sk3)))))),
% 0.67/0.95 inference(quant_inst,[status(thm)],[])).
% 0.67/0.95 tff(981,plain,
% 0.67/0.95 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | constant(number_of_organizations(A, B)) | (~constant(resources(A, B))))) | (~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | constant(number_of_organizations(sk3, sk1(sk3))) | (~constant(resources(sk3, sk1(sk3))))),
% 0.67/0.95 inference(modus_ponens,[status(thm)],[980, 979])).
% 0.67/0.95 tff(982,plain,
% 0.67/0.95 (constant(number_of_organizations(sk3, sk1(sk3))) | (~constant(resources(sk3, sk1(sk3))))),
% 0.67/0.95 inference(unit_resolution,[status(thm)],[981, 448, 7, 538])).
% 0.67/0.95 tff(983,plain,
% 0.67/0.95 (constant(number_of_organizations(sk3, sk1(sk3)))),
% 0.67/0.95 inference(unit_resolution,[status(thm)],[982, 978])).
% 0.67/0.95 tff(984,plain,
% 0.67/0.95 (constant(sum(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))), cardinality_at_time(efficient_producers, sk4(sk4(sk1(sk3))))))),
% 0.67/0.95 inference(modus_ponens,[status(thm)],[983, 961])).
% 0.67/0.95 tff(985,assumption,(greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3)))), introduced(assumption)).
% 0.67/0.95 tff(986,plain,
% 0.67/0.95 (sk4(sk1(sk3)) = sk4(sk4(sk1(sk3)))),
% 0.67/0.95 inference(symmetry,[status(thm)],[918])).
% 0.67/0.95 tff(987,plain,
% 0.67/0.95 (equilibrium(sk3) = sk4(sk4(sk1(sk3)))),
% 0.67/0.95 inference(transitivity,[status(thm)],[879, 906, 986])).
% 0.67/0.95 tff(988,plain,
% 0.67/0.95 (growth_rate(efficient_producers, equilibrium(sk3)) = growth_rate(efficient_producers, sk4(sk4(sk1(sk3))))),
% 0.67/0.95 inference(monotonicity,[status(thm)],[987])).
% 0.67/0.95 tff(989,plain,
% 0.67/0.95 (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = growth_rate(efficient_producers, equilibrium(sk3))),
% 0.67/0.95 inference(symmetry,[status(thm)],[988])).
% 0.67/0.95 tff(990,plain,
% 0.67/0.95 (growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))) = growth_rate(efficient_producers, sk1(sk3))),
% 0.67/0.95 inference(transitivity,[status(thm)],[989, 943])).
% 0.67/0.95 tff(991,plain,
% 0.67/0.95 (greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) <=> greater(growth_rate(efficient_producers, sk1(sk3)), zero)),
% 0.67/0.95 inference(monotonicity,[status(thm)],[990])).
% 0.67/0.95 tff(992,plain,
% 0.67/0.95 (greater(growth_rate(efficient_producers, sk1(sk3)), zero) <=> greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)),
% 0.67/0.95 inference(symmetry,[status(thm)],[991])).
% 0.67/0.95 tff(993,assumption,(growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero), introduced(assumption)).
% 0.67/0.95 tff(994,plain,
% 0.67/0.95 (zero = growth_rate(first_movers, sk4(sk4(sk1(sk3))))),
% 0.67/0.95 inference(symmetry,[status(thm)],[993])).
% 0.67/0.95 tff(995,plain,
% 0.67/0.95 (zero = growth_rate(first_movers, equilibrium(sk3))),
% 0.67/0.95 inference(transitivity,[status(thm)],[994, 954])).
% 0.67/0.95 tff(996,plain,
% 0.67/0.95 (greater(growth_rate(efficient_producers, sk1(sk3)), zero) <=> greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3)))),
% 0.67/0.95 inference(monotonicity,[status(thm)],[942, 995])).
% 0.67/0.95 tff(997,plain,
% 0.67/0.95 (greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3))) <=> greater(growth_rate(efficient_producers, sk1(sk3)), zero)),
% 0.67/0.95 inference(symmetry,[status(thm)],[996])).
% 0.67/0.95 tff(998,plain,
% 0.67/0.95 (greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3))) <=> greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)),
% 0.67/0.95 inference(transitivity,[status(thm)],[997, 992])).
% 0.67/0.95 tff(999,plain,
% 0.67/0.95 (greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)),
% 0.67/0.95 inference(modus_ponens,[status(thm)],[985, 998])).
% 0.67/0.95 tff(1000,plain,
% 0.67/0.95 ($false),
% 0.67/0.95 inference(unit_resolution,[status(thm)],[723, 999])).
% 0.67/0.95 tff(1001,plain,((~(growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero)) | greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3)))) | (~(sk4(sk1(sk3)) = sk1(sk3))) | (~(sk1(sk3) = equilibrium(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.67/0.95 tff(1002,plain,
% 0.67/0.95 (~(growth_rate(first_movers, sk4(sk4(sk1(sk3)))) = zero)),
% 0.67/0.96 inference(unit_resolution,[status(thm)],[1001, 723, 985, 882, 877])).
% 0.67/0.96 tff(1003,plain,
% 0.67/0.96 (~constant(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.67/0.96 inference(unit_resolution,[status(thm)],[778, 1002])).
% 0.67/0.96 tff(1004,plain,
% 0.67/0.96 (increases(cardinality_at_time(first_movers, sk4(sk4(sk1(sk3)))))),
% 0.67/0.96 inference(unit_resolution,[status(thm)],[770, 1003, 984, 742])).
% 0.67/0.96 tff(1005,plain,
% 0.67/0.96 (greater(growth_rate(first_movers, sk4(sk4(sk1(sk3)))), zero)),
% 0.67/0.96 inference(unit_resolution,[status(thm)],[765, 1004])).
% 0.67/0.96 tff(1006,plain,
% 0.67/0.96 (greater(growth_rate(first_movers, sk1(sk3)), zero)),
% 0.67/0.96 inference(modus_ponens,[status(thm)],[1005, 956])).
% 0.67/0.96 tff(1007,plain,
% 0.67/0.96 (greater(growth_rate(first_movers, equilibrium(sk3)), zero)),
% 0.67/0.96 inference(modus_ponens,[status(thm)],[1006, 953])).
% 0.67/0.96 tff(1008,plain,
% 0.67/0.96 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3)))) | greater(growth_rate(efficient_producers, equilibrium(sk3)), zero) | (~greater(growth_rate(first_movers, equilibrium(sk3)), zero)))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3)))) | greater(growth_rate(efficient_producers, equilibrium(sk3)), zero) | (~greater(growth_rate(first_movers, equilibrium(sk3)), zero)))),
% 0.67/0.96 inference(rewrite,[status(thm)],[])).
% 0.67/0.96 tff(1009,plain,
% 0.67/0.96 ((greater(growth_rate(efficient_producers, equilibrium(sk3)), zero) | (~greater(growth_rate(first_movers, equilibrium(sk3)), zero)) | (~greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3))))) <=> ((~greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3)))) | greater(growth_rate(efficient_producers, equilibrium(sk3)), zero) | (~greater(growth_rate(first_movers, equilibrium(sk3)), zero)))),
% 0.67/0.96 inference(rewrite,[status(thm)],[])).
% 0.67/0.96 tff(1010,plain,
% 0.67/0.96 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(growth_rate(efficient_producers, equilibrium(sk3)), zero) | (~greater(growth_rate(first_movers, equilibrium(sk3)), zero)) | (~greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3)))) | greater(growth_rate(efficient_producers, equilibrium(sk3)), zero) | (~greater(growth_rate(first_movers, equilibrium(sk3)), zero))))),
% 0.67/0.96 inference(monotonicity,[status(thm)],[1009])).
% 0.67/0.96 tff(1011,plain,
% 0.67/0.96 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(growth_rate(efficient_producers, equilibrium(sk3)), zero) | (~greater(growth_rate(first_movers, equilibrium(sk3)), zero)) | (~greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3)))) | greater(growth_rate(efficient_producers, equilibrium(sk3)), zero) | (~greater(growth_rate(first_movers, equilibrium(sk3)), zero)))),
% 0.67/0.96 inference(transitivity,[status(thm)],[1010, 1008])).
% 0.67/0.96 tff(1012,plain,
% 0.67/0.96 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(growth_rate(efficient_producers, equilibrium(sk3)), zero) | (~greater(growth_rate(first_movers, equilibrium(sk3)), zero)) | (~greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3)))))),
% 0.67/0.96 inference(quant_inst,[status(thm)],[])).
% 0.67/0.96 tff(1013,plain,
% 0.67/0.96 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3)))) | greater(growth_rate(efficient_producers, equilibrium(sk3)), zero) | (~greater(growth_rate(first_movers, equilibrium(sk3)), zero))),
% 0.67/0.96 inference(modus_ponens,[status(thm)],[1012, 1011])).
% 0.67/0.96 tff(1014,plain,
% 0.67/0.96 (greater(growth_rate(efficient_producers, equilibrium(sk3)), zero) | (~greater(growth_rate(first_movers, equilibrium(sk3)), zero))),
% 0.67/0.96 inference(unit_resolution,[status(thm)],[1013, 389, 985])).
% 0.67/0.96 tff(1015,plain,
% 0.67/0.96 ($false),
% 0.67/0.96 inference(unit_resolution,[status(thm)],[1014, 1007, 951])).
% 0.67/0.96 tff(1016,plain,(greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero) | (~greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3)))) | (~(sk1(sk3) = equilibrium(sk3))) | (~(sk4(sk1(sk3)) = sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.67/0.96 tff(1017,plain,
% 0.67/0.96 (greater(growth_rate(efficient_producers, sk4(sk4(sk1(sk3)))), zero)),
% 0.67/0.96 inference(unit_resolution,[status(thm)],[1016, 941, 877, 882])).
% 0.67/0.96 tff(1018,plain,
% 0.67/0.96 (greater(growth_rate(efficient_producers, sk1(sk3)), zero)),
% 0.67/0.96 inference(modus_ponens,[status(thm)],[1017, 922])).
% 0.67/0.96 tff(1019,plain,
% 0.67/0.96 (greater(growth_rate(efficient_producers, equilibrium(sk3)), zero)),
% 0.67/0.96 inference(modus_ponens,[status(thm)],[1018, 917])).
% 0.67/0.96 tff(1020,plain,
% 0.67/0.96 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(growth_rate(efficient_producers, equilibrium(sk3)), zero)) | greater_or_equal(growth_rate(efficient_producers, equilibrium(sk3)), zero))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(growth_rate(efficient_producers, equilibrium(sk3)), zero)) | greater_or_equal(growth_rate(efficient_producers, equilibrium(sk3)), zero))),
% 0.67/0.96 inference(rewrite,[status(thm)],[])).
% 0.67/0.96 tff(1021,plain,
% 0.67/0.96 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(growth_rate(efficient_producers, equilibrium(sk3)), zero)) | greater_or_equal(growth_rate(efficient_producers, equilibrium(sk3)), zero))),
% 0.67/0.96 inference(quant_inst,[status(thm)],[])).
% 0.67/0.96 tff(1022,plain,
% 0.67/0.96 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(growth_rate(efficient_producers, equilibrium(sk3)), zero)) | greater_or_equal(growth_rate(efficient_producers, equilibrium(sk3)), zero)),
% 0.67/0.96 inference(modus_ponens,[status(thm)],[1021, 1020])).
% 0.67/0.96 tff(1023,plain,
% 0.67/0.96 ((~greater(growth_rate(efficient_producers, equilibrium(sk3)), zero)) | greater_or_equal(growth_rate(efficient_producers, equilibrium(sk3)), zero)),
% 0.67/0.96 inference(unit_resolution,[status(thm)],[1022, 260])).
% 0.67/0.96 tff(1024,plain,
% 0.67/0.96 (greater_or_equal(growth_rate(efficient_producers, equilibrium(sk3)), zero)),
% 0.67/0.96 inference(unit_resolution,[status(thm)],[1023, 1019])).
% 0.67/0.96 tff(1025,plain,
% 0.67/0.96 (sk4(sk1(sk3)) = equilibrium(sk3)),
% 0.67/0.96 inference(transitivity,[status(thm)],[882, 877])).
% 0.67/0.96 tff(1026,plain,
% 0.67/0.96 (subpopulations(first_movers, efficient_producers, sk3, sk4(sk1(sk3))) <=> subpopulations(first_movers, efficient_producers, sk3, equilibrium(sk3))),
% 0.67/0.96 inference(monotonicity,[status(thm)],[1025])).
% 0.67/0.96 tff(1027,plain,
% 0.67/0.96 (subpopulations(first_movers, efficient_producers, sk3, equilibrium(sk3))),
% 0.67/0.96 inference(modus_ponens,[status(thm)],[542, 1026])).
% 0.67/0.96 tff(1028,plain,
% 0.67/0.96 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, equilibrium(sk3))) | outcompetes(efficient_producers, first_movers, equilibrium(sk3)) | (~greater(zero, growth_rate(first_movers, equilibrium(sk3)))) | (~greater_or_equal(growth_rate(efficient_producers, equilibrium(sk3)), zero)))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, equilibrium(sk3))) | outcompetes(efficient_producers, first_movers, equilibrium(sk3)) | (~greater(zero, growth_rate(first_movers, equilibrium(sk3)))) | (~greater_or_equal(growth_rate(efficient_producers, equilibrium(sk3)), zero)))),
% 0.67/0.97 inference(rewrite,[status(thm)],[])).
% 0.67/0.97 tff(1029,plain,
% 0.67/0.97 (((~environment(sk3)) | outcompetes(efficient_producers, first_movers, equilibrium(sk3)) | (~greater(zero, growth_rate(first_movers, equilibrium(sk3)))) | (~greater_or_equal(growth_rate(efficient_producers, equilibrium(sk3)), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, equilibrium(sk3)))) <=> ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, equilibrium(sk3))) | outcompetes(efficient_producers, first_movers, equilibrium(sk3)) | (~greater(zero, growth_rate(first_movers, equilibrium(sk3)))) | (~greater_or_equal(growth_rate(efficient_producers, equilibrium(sk3)), zero)))),
% 0.67/0.97 inference(rewrite,[status(thm)],[])).
% 0.67/0.97 tff(1030,plain,
% 0.67/0.97 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, equilibrium(sk3)) | (~greater(zero, growth_rate(first_movers, equilibrium(sk3)))) | (~greater_or_equal(growth_rate(efficient_producers, equilibrium(sk3)), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, equilibrium(sk3))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, equilibrium(sk3))) | outcompetes(efficient_producers, first_movers, equilibrium(sk3)) | (~greater(zero, growth_rate(first_movers, equilibrium(sk3)))) | (~greater_or_equal(growth_rate(efficient_producers, equilibrium(sk3)), zero))))),
% 0.67/0.97 inference(monotonicity,[status(thm)],[1029])).
% 0.67/0.97 tff(1031,plain,
% 0.67/0.97 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, equilibrium(sk3)) | (~greater(zero, growth_rate(first_movers, equilibrium(sk3)))) | (~greater_or_equal(growth_rate(efficient_producers, equilibrium(sk3)), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, equilibrium(sk3))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, equilibrium(sk3))) | outcompetes(efficient_producers, first_movers, equilibrium(sk3)) | (~greater(zero, growth_rate(first_movers, equilibrium(sk3)))) | (~greater_or_equal(growth_rate(efficient_producers, equilibrium(sk3)), zero)))),
% 0.67/0.97 inference(transitivity,[status(thm)],[1030, 1028])).
% 0.67/0.97 tff(1032,plain,
% 0.67/0.97 ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | ((~environment(sk3)) | outcompetes(efficient_producers, first_movers, equilibrium(sk3)) | (~greater(zero, growth_rate(first_movers, equilibrium(sk3)))) | (~greater_or_equal(growth_rate(efficient_producers, equilibrium(sk3)), zero)) | (~subpopulations(first_movers, efficient_producers, sk3, equilibrium(sk3))))),
% 0.67/0.97 inference(quant_inst,[status(thm)],[])).
% 0.67/0.97 tff(1033,plain,
% 0.67/0.97 ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | outcompetes(C, B, D) | (~greater(zero, growth_rate(B, D))) | (~greater_or_equal(growth_rate(C, D), zero)) | (~subpopulations(B, C, A, D)))) | (~environment(sk3)) | (~subpopulations(first_movers, efficient_producers, sk3, equilibrium(sk3))) | outcompetes(efficient_producers, first_movers, equilibrium(sk3)) | (~greater(zero, growth_rate(first_movers, equilibrium(sk3)))) | (~greater_or_equal(growth_rate(efficient_producers, equilibrium(sk3)), zero))),
% 0.67/0.97 inference(modus_ponens,[status(thm)],[1032, 1031])).
% 0.67/0.97 tff(1034,plain,
% 0.67/0.97 (outcompetes(efficient_producers, first_movers, equilibrium(sk3)) | (~greater(zero, growth_rate(first_movers, equilibrium(sk3)))) | (~greater_or_equal(growth_rate(efficient_producers, equilibrium(sk3)), zero))),
% 0.67/0.97 inference(unit_resolution,[status(thm)],[1033, 245, 7, 1027])).
% 0.67/0.97 tff(1035,plain,
% 0.67/0.97 (~greater(zero, growth_rate(first_movers, equilibrium(sk3)))),
% 0.67/0.97 inference(unit_resolution,[status(thm)],[1034, 1024, 915])).
% 0.67/0.97 tff(1036,plain,
% 0.67/0.97 (~greater(zero, growth_rate(first_movers, sk1(sk3)))),
% 0.67/0.97 inference(modus_ponens,[status(thm)],[1035, 905])).
% 0.67/0.97 tff(1037,plain,
% 0.67/0.97 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | subpopulation(first_movers, sk3, sk1(sk3)))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | subpopulation(first_movers, sk3, sk1(sk3)))),
% 0.67/0.97 inference(rewrite,[status(thm)],[])).
% 0.67/0.97 tff(1038,plain,
% 0.67/0.97 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | subpopulation(first_movers, sk3, sk1(sk3)))),
% 0.67/0.97 inference(quant_inst,[status(thm)],[])).
% 0.67/0.97 tff(1039,plain,
% 0.67/0.97 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(first_movers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | subpopulation(first_movers, sk3, sk1(sk3))),
% 0.67/0.97 inference(modus_ponens,[status(thm)],[1038, 1037])).
% 0.67/0.97 tff(1040,plain,
% 0.67/0.97 (subpopulation(first_movers, sk3, sk1(sk3))),
% 0.67/0.97 inference(unit_resolution,[status(thm)],[1039, 59, 7, 538])).
% 0.67/0.97 tff(1041,plain,
% 0.67/0.97 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~greater(cardinality_at_time(first_movers, sk1(sk3)), zero)) | (~subpopulation(first_movers, sk3, sk1(sk3))) | greater(zero, growth_rate(first_movers, sk1(sk3))) | (~decreases(cardinality_at_time(first_movers, sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~greater(cardinality_at_time(first_movers, sk1(sk3)), zero)) | (~subpopulation(first_movers, sk3, sk1(sk3))) | greater(zero, growth_rate(first_movers, sk1(sk3))) | (~decreases(cardinality_at_time(first_movers, sk1(sk3)))))),
% 0.67/0.97 inference(rewrite,[status(thm)],[])).
% 0.67/0.97 tff(1042,plain,
% 0.67/0.97 (((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk1(sk3)), zero)) | (~subpopulation(first_movers, sk3, sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | greater(zero, growth_rate(first_movers, sk1(sk3))) | (~decreases(cardinality_at_time(first_movers, sk1(sk3))))) <=> ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~greater(cardinality_at_time(first_movers, sk1(sk3)), zero)) | (~subpopulation(first_movers, sk3, sk1(sk3))) | greater(zero, growth_rate(first_movers, sk1(sk3))) | (~decreases(cardinality_at_time(first_movers, sk1(sk3)))))),
% 0.67/0.97 inference(rewrite,[status(thm)],[])).
% 0.67/0.97 tff(1043,plain,
% 0.67/0.97 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk1(sk3)), zero)) | (~subpopulation(first_movers, sk3, sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | greater(zero, growth_rate(first_movers, sk1(sk3))) | (~decreases(cardinality_at_time(first_movers, sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~greater(cardinality_at_time(first_movers, sk1(sk3)), zero)) | (~subpopulation(first_movers, sk3, sk1(sk3))) | greater(zero, growth_rate(first_movers, sk1(sk3))) | (~decreases(cardinality_at_time(first_movers, sk1(sk3))))))),
% 0.67/0.98 inference(monotonicity,[status(thm)],[1042])).
% 0.67/0.98 tff(1044,plain,
% 0.67/0.98 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk1(sk3)), zero)) | (~subpopulation(first_movers, sk3, sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | greater(zero, growth_rate(first_movers, sk1(sk3))) | (~decreases(cardinality_at_time(first_movers, sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~greater(cardinality_at_time(first_movers, sk1(sk3)), zero)) | (~subpopulation(first_movers, sk3, sk1(sk3))) | greater(zero, growth_rate(first_movers, sk1(sk3))) | (~decreases(cardinality_at_time(first_movers, sk1(sk3)))))),
% 0.67/0.98 inference(transitivity,[status(thm)],[1043, 1041])).
% 0.67/0.98 tff(1045,plain,
% 0.67/0.98 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(first_movers, sk1(sk3)), zero)) | (~subpopulation(first_movers, sk3, sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | greater(zero, growth_rate(first_movers, sk1(sk3))) | (~decreases(cardinality_at_time(first_movers, sk1(sk3)))))),
% 0.67/0.98 inference(quant_inst,[status(thm)],[])).
% 0.67/0.98 tff(1046,plain,
% 0.67/0.98 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~greater(cardinality_at_time(first_movers, sk1(sk3)), zero)) | (~subpopulation(first_movers, sk3, sk1(sk3))) | greater(zero, growth_rate(first_movers, sk1(sk3))) | (~decreases(cardinality_at_time(first_movers, sk1(sk3))))),
% 0.67/0.98 inference(modus_ponens,[status(thm)],[1045, 1044])).
% 0.67/0.98 tff(1047,plain,
% 0.67/0.98 ((~greater(cardinality_at_time(first_movers, sk1(sk3)), zero)) | greater(zero, growth_rate(first_movers, sk1(sk3))) | (~decreases(cardinality_at_time(first_movers, sk1(sk3))))),
% 0.67/0.98 inference(unit_resolution,[status(thm)],[1046, 216, 7, 538, 1040])).
% 0.67/0.98 tff(1048,plain,
% 0.67/0.98 (~decreases(cardinality_at_time(first_movers, sk1(sk3)))),
% 0.67/0.98 inference(unit_resolution,[status(thm)],[1047, 1036, 902])).
% 0.67/0.98 tff(1049,plain,
% 0.67/0.98 (((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | subpopulation(efficient_producers, sk3, sk1(sk3)))) <=> ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | subpopulation(efficient_producers, sk3, sk1(sk3)))),
% 0.67/0.98 inference(rewrite,[status(thm)],[])).
% 0.67/0.98 tff(1050,plain,
% 0.67/0.98 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | subpopulation(efficient_producers, sk3, sk1(sk3)))),
% 0.67/0.98 inference(quant_inst,[status(thm)],[])).
% 0.67/0.98 tff(1051,plain,
% 0.67/0.98 ((~![B: $i, A: $i] : ((~environment(A)) | (~in_environment(A, B)) | subpopulation(efficient_producers, A, B))) | (~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | subpopulation(efficient_producers, sk3, sk1(sk3))),
% 0.67/0.98 inference(modus_ponens,[status(thm)],[1050, 1049])).
% 0.67/0.98 tff(1052,plain,
% 0.67/0.98 (subpopulation(efficient_producers, sk3, sk1(sk3))),
% 0.67/0.98 inference(unit_resolution,[status(thm)],[1051, 128, 7, 538])).
% 0.67/0.98 tff(1053,plain,
% 0.67/0.98 (^[A: $i, C: $i] : refl(((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C))) <=> ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C))))),
% 0.67/0.98 inference(bind,[status(th)],[])).
% 0.67/0.98 tff(1054,plain,
% 0.67/0.98 (![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C))) <=> ![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C)))),
% 0.67/0.98 inference(quant_intro,[status(thm)],[1053])).
% 0.67/0.98 tff(1055,plain,
% 0.67/0.98 (![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C))) <=> ![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C)))),
% 0.67/0.98 inference(rewrite,[status(thm)],[])).
% 0.67/0.98 tff(1056,plain,
% 0.67/0.98 (^[A: $i, C: $i] : rewrite(((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(efficient_producers, A, C)) | (~environment(A))) <=> ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C))))),
% 0.67/0.98 inference(bind,[status(th)],[])).
% 0.67/0.98 tff(1057,plain,
% 0.67/0.98 (![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(efficient_producers, A, C)) | (~environment(A))) <=> ![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C)))),
% 0.67/0.98 inference(quant_intro,[status(thm)],[1056])).
% 0.67/0.98 tff(1058,plain,
% 0.67/0.98 (![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(efficient_producers, A, C)) | (~environment(A))) <=> ![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(efficient_producers, A, C)) | (~environment(A)))),
% 0.67/0.98 inference(elim_unused_vars,[status(thm)],[])).
% 0.67/0.98 tff(1059,plain,
% 0.67/0.98 (![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers))) <=> ![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(efficient_producers, A, C)) | (~environment(A)))),
% 0.67/0.98 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.67/0.98 tff(1060,plain,
% 0.67/0.98 (![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers))) <=> ![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(efficient_producers, A, C)) | (~environment(A)))),
% 0.67/0.98 inference(transitivity,[status(thm)],[1059, 1058])).
% 0.67/0.98 tff(1061,plain,
% 0.67/0.98 (![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers))) <=> ![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C)))),
% 0.67/0.98 inference(transitivity,[status(thm)],[1060, 1057])).
% 0.67/0.98 tff(1062,plain,
% 0.67/0.98 (^[B: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~environment(A)) | (~subpopulation(B, A, C))) | (~(B = efficient_producers))) <=> ((~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))), (((((~environment(A)) | (~subpopulation(B, A, C))) | (~(B = efficient_producers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C)))) <=> (((~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C)))))), rewrite((((~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C)))) <=> ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))), (((((~environment(A)) | (~subpopulation(B, A, C))) | (~(B = efficient_producers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C)))) <=> ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))))),
% 0.67/0.98 inference(bind,[status(th)],[])).
% 0.67/0.98 tff(1063,plain,
% 0.67/0.98 (![B: $i, A: $i, C: $i] : ((((~environment(A)) | (~subpopulation(B, A, C))) | (~(B = efficient_producers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C)))) <=> ![B: $i, A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~subpopulation(B, A, C)) | (~environment(A)) | (~(B = efficient_producers)))),
% 0.67/0.98 inference(quant_intro,[status(thm)],[1062])).
% 0.67/0.98 tff(1064,plain,
% 0.67/0.98 (![B: $i, A: $i, C: $i] : ((((~environment(A)) | (~subpopulation(B, A, C))) | (~(B = efficient_producers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C)))) <=> ![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C)))),
% 0.67/0.98 inference(transitivity,[status(thm)],[1063, 1061])).
% 0.67/0.98 tff(1065,axiom,(![B: $i, A: $i, C: $i] : ((((~environment(A)) | (~subpopulation(B, A, C))) | (~(B = efficient_producers))) | (number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_only_members_39')).
% 0.67/0.98 tff(1066,plain,
% 0.67/0.98 (![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C)))),
% 0.67/0.98 inference(modus_ponens,[status(thm)],[1065, 1064])).
% 0.67/0.99 tff(1067,plain,
% 0.67/0.99 (![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C)))),
% 0.67/0.99 inference(modus_ponens,[status(thm)],[1066, 1055])).
% 0.67/0.99 tff(1068,plain,(
% 0.67/0.99 ![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C)))),
% 0.67/0.99 inference(skolemize,[status(sab)],[1067])).
% 0.67/0.99 tff(1069,plain,
% 0.67/0.99 (![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C)))),
% 0.67/0.99 inference(modus_ponens,[status(thm)],[1068, 1054])).
% 0.67/0.99 tff(1070,plain,
% 0.67/0.99 (((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C)))) | ((~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (number_of_organizations(sk3, sk1(sk3)) = sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3)))))) <=> ((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C)))) | (~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (number_of_organizations(sk3, sk1(sk3)) = sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3)))))),
% 0.67/0.99 inference(rewrite,[status(thm)],[])).
% 0.67/0.99 tff(1071,plain,
% 0.67/0.99 (((number_of_organizations(sk3, sk1(sk3)) = sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3)))) | (~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk1(sk3)))) <=> ((~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (number_of_organizations(sk3, sk1(sk3)) = sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3)))))),
% 0.67/0.99 inference(rewrite,[status(thm)],[])).
% 0.67/0.99 tff(1072,plain,
% 0.67/0.99 (((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C)))) | ((number_of_organizations(sk3, sk1(sk3)) = sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3)))) | (~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))))) <=> ((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C)))) | ((~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (number_of_organizations(sk3, sk1(sk3)) = sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3))))))),
% 0.67/0.99 inference(monotonicity,[status(thm)],[1071])).
% 0.67/0.99 tff(1073,plain,
% 0.67/0.99 (((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C)))) | ((number_of_organizations(sk3, sk1(sk3)) = sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3)))) | (~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))))) <=> ((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C)))) | (~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (number_of_organizations(sk3, sk1(sk3)) = sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3)))))),
% 0.67/0.99 inference(transitivity,[status(thm)],[1072, 1070])).
% 0.67/0.99 tff(1074,plain,
% 0.67/0.99 ((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C)))) | ((number_of_organizations(sk3, sk1(sk3)) = sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3)))) | (~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))))),
% 0.67/0.99 inference(quant_inst,[status(thm)],[])).
% 0.67/0.99 tff(1075,plain,
% 0.67/0.99 ((~![A: $i, C: $i] : ((number_of_organizations(A, C) = sum(cardinality_at_time(first_movers, C), cardinality_at_time(efficient_producers, C))) | (~environment(A)) | (~subpopulation(efficient_producers, A, C)))) | (~environment(sk3)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (number_of_organizations(sk3, sk1(sk3)) = sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3))))),
% 0.67/0.99 inference(modus_ponens,[status(thm)],[1074, 1073])).
% 0.67/0.99 tff(1076,plain,
% 0.67/0.99 (number_of_organizations(sk3, sk1(sk3)) = sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3)))),
% 0.67/0.99 inference(unit_resolution,[status(thm)],[1075, 1069, 7, 1052])).
% 0.67/0.99 tff(1077,plain,
% 0.67/0.99 (sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3))) = number_of_organizations(sk3, sk1(sk3))),
% 0.67/0.99 inference(symmetry,[status(thm)],[1076])).
% 0.67/0.99 tff(1078,plain,
% 0.67/0.99 (constant(sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3)))) <=> constant(number_of_organizations(sk3, sk1(sk3)))),
% 0.67/0.99 inference(monotonicity,[status(thm)],[1077])).
% 0.67/0.99 tff(1079,plain,
% 0.67/0.99 (constant(number_of_organizations(sk3, sk1(sk3))) <=> constant(sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3))))),
% 0.67/0.99 inference(symmetry,[status(thm)],[1078])).
% 0.67/0.99 tff(1080,plain,
% 0.67/0.99 (constant(sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3))))),
% 0.67/0.99 inference(modus_ponens,[status(thm)],[983, 1079])).
% 0.67/0.99 tff(1081,plain,
% 0.67/0.99 (greater(zero, growth_rate(efficient_producers, equilibrium(sk3))) <=> greater(zero, growth_rate(efficient_producers, sk1(sk3)))),
% 0.67/0.99 inference(monotonicity,[status(thm)],[880])).
% 0.67/0.99 tff(1082,plain,
% 0.67/0.99 ((~greater(zero, growth_rate(efficient_producers, equilibrium(sk3)))) <=> (~greater(zero, growth_rate(efficient_producers, sk1(sk3))))),
% 0.67/0.99 inference(monotonicity,[status(thm)],[1081])).
% 0.67/0.99 tff(1083,plain,
% 0.67/0.99 (((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(zero, growth_rate(efficient_producers, equilibrium(sk3)))) | (~greater(growth_rate(efficient_producers, equilibrium(sk3)), zero)))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(zero, growth_rate(efficient_producers, equilibrium(sk3)))) | (~greater(growth_rate(efficient_producers, equilibrium(sk3)), zero)))),
% 0.67/0.99 inference(rewrite,[status(thm)],[])).
% 0.67/0.99 tff(1084,plain,
% 0.67/0.99 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | ((~greater(zero, growth_rate(efficient_producers, equilibrium(sk3)))) | (~greater(growth_rate(efficient_producers, equilibrium(sk3)), zero)))),
% 0.67/0.99 inference(quant_inst,[status(thm)],[])).
% 0.67/0.99 tff(1085,plain,
% 0.67/0.99 ((~![B: $i, A: $i] : ((~greater(A, B)) | (~greater(B, A)))) | (~greater(zero, growth_rate(efficient_producers, equilibrium(sk3)))) | (~greater(growth_rate(efficient_producers, equilibrium(sk3)), zero))),
% 0.67/0.99 inference(modus_ponens,[status(thm)],[1084, 1083])).
% 0.67/0.99 tff(1086,plain,
% 0.67/0.99 ((~greater(zero, growth_rate(efficient_producers, equilibrium(sk3)))) | (~greater(growth_rate(efficient_producers, equilibrium(sk3)), zero))),
% 0.67/0.99 inference(unit_resolution,[status(thm)],[1085, 375])).
% 0.67/0.99 tff(1087,plain,
% 0.67/0.99 (~greater(zero, growth_rate(efficient_producers, equilibrium(sk3)))),
% 0.67/0.99 inference(unit_resolution,[status(thm)],[1086, 1019])).
% 0.67/0.99 tff(1088,plain,
% 0.67/0.99 (~greater(zero, growth_rate(efficient_producers, sk1(sk3)))),
% 0.67/1.00 inference(modus_ponens,[status(thm)],[1087, 1082])).
% 0.67/1.00 tff(1089,plain,
% 0.67/1.00 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | greater(zero, growth_rate(efficient_producers, sk1(sk3))) | (~decreases(cardinality_at_time(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | greater(zero, growth_rate(efficient_producers, sk1(sk3))) | (~decreases(cardinality_at_time(efficient_producers, sk1(sk3)))))),
% 0.67/1.00 inference(rewrite,[status(thm)],[])).
% 0.67/1.00 tff(1090,plain,
% 0.67/1.00 (((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | greater(zero, growth_rate(efficient_producers, sk1(sk3))) | (~decreases(cardinality_at_time(efficient_producers, sk1(sk3))))) <=> ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | greater(zero, growth_rate(efficient_producers, sk1(sk3))) | (~decreases(cardinality_at_time(efficient_producers, sk1(sk3)))))),
% 0.67/1.00 inference(rewrite,[status(thm)],[])).
% 0.67/1.00 tff(1091,plain,
% 0.67/1.00 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | greater(zero, growth_rate(efficient_producers, sk1(sk3))) | (~decreases(cardinality_at_time(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | greater(zero, growth_rate(efficient_producers, sk1(sk3))) | (~decreases(cardinality_at_time(efficient_producers, sk1(sk3))))))),
% 0.67/1.00 inference(monotonicity,[status(thm)],[1090])).
% 0.67/1.00 tff(1092,plain,
% 0.67/1.00 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | greater(zero, growth_rate(efficient_producers, sk1(sk3))) | (~decreases(cardinality_at_time(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | greater(zero, growth_rate(efficient_producers, sk1(sk3))) | (~decreases(cardinality_at_time(efficient_producers, sk1(sk3)))))),
% 0.67/1.00 inference(transitivity,[status(thm)],[1091, 1089])).
% 0.67/1.00 tff(1093,plain,
% 0.67/1.00 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | ((~environment(sk3)) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | greater(zero, growth_rate(efficient_producers, sk1(sk3))) | (~decreases(cardinality_at_time(efficient_producers, sk1(sk3)))))),
% 0.67/1.00 inference(quant_inst,[status(thm)],[])).
% 0.67/1.00 tff(1094,plain,
% 0.67/1.00 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)) | greater(zero, growth_rate(C, B)) | (~decreases(cardinality_at_time(C, B))))) | (~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | greater(zero, growth_rate(efficient_producers, sk1(sk3))) | (~decreases(cardinality_at_time(efficient_producers, sk1(sk3))))),
% 0.67/1.00 inference(modus_ponens,[status(thm)],[1093, 1092])).
% 0.67/1.00 tff(1095,plain,
% 0.67/1.00 ((~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | greater(zero, growth_rate(efficient_producers, sk1(sk3))) | (~decreases(cardinality_at_time(efficient_producers, sk1(sk3))))),
% 0.67/1.00 inference(unit_resolution,[status(thm)],[1094, 216, 7, 538, 1052])).
% 0.67/1.00 tff(1096,plain,
% 0.67/1.00 (~decreases(cardinality_at_time(efficient_producers, sk1(sk3)))),
% 0.67/1.00 inference(unit_resolution,[status(thm)],[1095, 1088, 892])).
% 0.67/1.00 tff(1097,plain,
% 0.67/1.00 (((~![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))) | (decreases(cardinality_at_time(efficient_producers, sk1(sk3))) | constant(cardinality_at_time(efficient_producers, sk1(sk3))) | decreases(cardinality_at_time(first_movers, sk1(sk3))) | (~constant(sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3))))))) <=> ((~![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))) | decreases(cardinality_at_time(efficient_producers, sk1(sk3))) | constant(cardinality_at_time(efficient_producers, sk1(sk3))) | decreases(cardinality_at_time(first_movers, sk1(sk3))) | (~constant(sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3))))))),
% 0.67/1.00 inference(rewrite,[status(thm)],[])).
% 0.67/1.00 tff(1098,plain,
% 0.67/1.00 ((~![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))) | (decreases(cardinality_at_time(efficient_producers, sk1(sk3))) | constant(cardinality_at_time(efficient_producers, sk1(sk3))) | decreases(cardinality_at_time(first_movers, sk1(sk3))) | (~constant(sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3))))))),
% 0.67/1.00 inference(quant_inst,[status(thm)],[])).
% 0.67/1.00 tff(1099,plain,
% 0.67/1.00 ((~![B: $i, C: $i] : (decreases(C) | constant(C) | decreases(B) | (~constant(sum(B, C))))) | decreases(cardinality_at_time(efficient_producers, sk1(sk3))) | constant(cardinality_at_time(efficient_producers, sk1(sk3))) | decreases(cardinality_at_time(first_movers, sk1(sk3))) | (~constant(sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3)))))),
% 0.67/1.00 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 0.67/1.00 tff(1100,plain,
% 0.67/1.00 (decreases(cardinality_at_time(efficient_producers, sk1(sk3))) | constant(cardinality_at_time(efficient_producers, sk1(sk3))) | decreases(cardinality_at_time(first_movers, sk1(sk3))) | (~constant(sum(cardinality_at_time(first_movers, sk1(sk3)), cardinality_at_time(efficient_producers, sk1(sk3)))))),
% 0.67/1.00 inference(unit_resolution,[status(thm)],[1099, 338])).
% 0.67/1.00 tff(1101,plain,
% 0.67/1.00 (constant(cardinality_at_time(efficient_producers, sk1(sk3)))),
% 0.67/1.00 inference(unit_resolution,[status(thm)],[1100, 1096, 1080, 1048])).
% 0.67/1.00 tff(1102,plain,
% 0.67/1.00 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (growth_rate(efficient_producers, sk1(sk3)) = zero) | (~constant(cardinality_at_time(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (growth_rate(efficient_producers, sk1(sk3)) = zero) | (~constant(cardinality_at_time(efficient_producers, sk1(sk3)))))),
% 0.67/1.00 inference(rewrite,[status(thm)],[])).
% 0.67/1.00 tff(1103,plain,
% 0.67/1.00 (((~environment(sk3)) | (growth_rate(efficient_producers, sk1(sk3)) = zero) | (~constant(cardinality_at_time(efficient_producers, sk1(sk3)))) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (~in_environment(sk3, sk1(sk3)))) <=> ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (growth_rate(efficient_producers, sk1(sk3)) = zero) | (~constant(cardinality_at_time(efficient_producers, sk1(sk3)))))),
% 0.67/1.00 inference(rewrite,[status(thm)],[])).
% 0.67/1.00 tff(1104,plain,
% 0.67/1.00 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(efficient_producers, sk1(sk3)) = zero) | (~constant(cardinality_at_time(efficient_producers, sk1(sk3)))) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (~in_environment(sk3, sk1(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (growth_rate(efficient_producers, sk1(sk3)) = zero) | (~constant(cardinality_at_time(efficient_producers, sk1(sk3))))))),
% 0.67/1.00 inference(monotonicity,[status(thm)],[1103])).
% 0.67/1.00 tff(1105,plain,
% 0.67/1.00 (((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(efficient_producers, sk1(sk3)) = zero) | (~constant(cardinality_at_time(efficient_producers, sk1(sk3)))) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (~in_environment(sk3, sk1(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (growth_rate(efficient_producers, sk1(sk3)) = zero) | (~constant(cardinality_at_time(efficient_producers, sk1(sk3)))))),
% 0.67/1.00 inference(transitivity,[status(thm)],[1104, 1102])).
% 0.67/1.02 tff(1106,plain,
% 0.67/1.02 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | ((~environment(sk3)) | (growth_rate(efficient_producers, sk1(sk3)) = zero) | (~constant(cardinality_at_time(efficient_producers, sk1(sk3)))) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (~in_environment(sk3, sk1(sk3))))),
% 0.67/1.02 inference(quant_inst,[status(thm)],[])).
% 0.67/1.02 tff(1107,plain,
% 0.67/1.02 ((~![B: $i, A: $i, C: $i] : ((~environment(A)) | (growth_rate(C, B) = zero) | (~constant(cardinality_at_time(C, B))) | (~greater(cardinality_at_time(C, B), zero)) | (~subpopulation(C, A, B)) | (~in_environment(A, B)))) | (~environment(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (~subpopulation(efficient_producers, sk3, sk1(sk3))) | (growth_rate(efficient_producers, sk1(sk3)) = zero) | (~constant(cardinality_at_time(efficient_producers, sk1(sk3))))),
% 0.67/1.02 inference(modus_ponens,[status(thm)],[1106, 1105])).
% 0.67/1.02 tff(1108,plain,
% 0.67/1.02 ((~greater(cardinality_at_time(efficient_producers, sk1(sk3)), zero)) | (growth_rate(efficient_producers, sk1(sk3)) = zero) | (~constant(cardinality_at_time(efficient_producers, sk1(sk3))))),
% 0.67/1.02 inference(unit_resolution,[status(thm)],[1107, 276, 7, 538, 1052])).
% 0.67/1.02 tff(1109,plain,
% 0.67/1.02 (growth_rate(efficient_producers, sk1(sk3)) = zero),
% 0.67/1.02 inference(unit_resolution,[status(thm)],[1108, 1101, 892])).
% 0.67/1.02 tff(1110,plain,
% 0.67/1.02 (zero = growth_rate(efficient_producers, sk1(sk3))),
% 0.67/1.02 inference(symmetry,[status(thm)],[1109])).
% 0.67/1.02 tff(1111,plain,
% 0.67/1.02 (zero = growth_rate(efficient_producers, equilibrium(sk3))),
% 0.67/1.02 inference(transitivity,[status(thm)],[1110, 881])).
% 0.67/1.02 tff(1112,plain,
% 0.67/1.02 (greater(zero, growth_rate(first_movers, sk1(sk3))) <=> greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3)))),
% 0.67/1.02 inference(monotonicity,[status(thm)],[1111, 878])).
% 0.67/1.02 tff(1113,plain,
% 0.67/1.02 (greater(growth_rate(efficient_producers, equilibrium(sk3)), growth_rate(first_movers, equilibrium(sk3))) <=> greater(zero, growth_rate(first_movers, sk1(sk3)))),
% 0.67/1.02 inference(symmetry,[status(thm)],[1112])).
% 0.67/1.02 tff(1114,plain,
% 0.67/1.02 (greater(zero, growth_rate(first_movers, sk1(sk3)))),
% 0.67/1.02 inference(modus_ponens,[status(thm)],[941, 1113])).
% 0.67/1.02 tff(1115,plain,
% 0.67/1.02 ($false),
% 0.67/1.02 inference(unit_resolution,[status(thm)],[1036, 1114])).
% 0.67/1.02 tff(1116,plain,((~(sk4(sk1(sk3)) = sk1(sk3))) | (~(sk1(sk3) = equilibrium(sk3))) | (~greater_or_equal(sk1(sk3), sk2(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.67/1.02 tff(1117,plain,
% 0.67/1.02 ($false),
% 0.67/1.02 inference(unit_resolution,[status(thm)],[1116, 876, 871, 864])).
% 0.67/1.02 % SZS output end Proof
% 0.67/1.02 % E exiting
%------------------------------------------------------------------------------