%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT039-2 : TPTP v9.3.0. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n014.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 06:24:04 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT039-2 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.07/0.33 % Computer : n014.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Mon Sep 7 12:57:30 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.12/0.40 % SZS status Unsatisfiable
% 0.12/0.40 % SZS output start Proof
% 0.12/0.40 tff(in_environment_type, type, (
% 0.12/0.40 in_environment: ( $i * $i ) > $o)).
% 0.12/0.40 tff(critical_point_type, type, (
% 0.12/0.40 critical_point: $i > $i)).
% 0.12/0.40 tff(sk1_type, type, (
% 0.12/0.40 sk1: $i > $i)).
% 0.12/0.40 tff(sk3_type, type, (
% 0.12/0.40 sk3: $i)).
% 0.12/0.40 tff(start_time_type, type, (
% 0.12/0.40 start_time: $i > $i)).
% 0.12/0.40 tff(greater_type, type, (
% 0.12/0.40 greater: ( $i * $i ) > $o)).
% 0.12/0.40 tff(end_time_type, type, (
% 0.12/0.40 end_time: $i > $i)).
% 0.12/0.40 tff(subpopulation_type, type, (
% 0.12/0.40 subpopulation: ( $i * $i * $i ) > $o)).
% 0.12/0.40 tff(first_movers_type, type, (
% 0.12/0.40 first_movers: $i)).
% 0.12/0.40 tff(environment_type, type, (
% 0.12/0.40 environment: $i > $o)).
% 0.12/0.40 tff(selection_favors_type, type, (
% 0.12/0.40 selection_favors: ( $i * $i * $i ) > $o)).
% 0.12/0.40 tff(efficient_producers_type, type, (
% 0.12/0.40 efficient_producers: $i)).
% 0.12/0.40 tff(observational_period_type, type, (
% 0.12/0.40 observational_period: $i > $o)).
% 0.12/0.40 tff(propagation_strategy_type, type, (
% 0.12/0.40 propagation_strategy: $i > $o)).
% 0.12/0.40 tff(zero_type, type, (
% 0.12/0.40 zero: $i)).
% 0.12/0.40 tff(cardinality_at_time_type, type, (
% 0.12/0.40 cardinality_at_time: ( $i * $i ) > $i)).
% 0.12/0.40 tff(greater_or_equal_type, type, (
% 0.12/0.40 greater_or_equal: ( $i * $i ) > $o)).
% 0.12/0.40 tff(appear_type, type, (
% 0.12/0.40 appear: ( $i * $i ) > $i)).
% 0.12/0.40 tff(sk2_type, type, (
% 0.12/0.40 sk2: ( $i * $i ) > $i)).
% 0.12/0.40 tff(slow_change_type, type, (
% 0.12/0.40 slow_change: $i > $o)).
% 0.12/0.40 tff(subpopulations_type, type, (
% 0.12/0.40 subpopulations: ( $i * $i * $i * $i ) > $o)).
% 0.12/0.40 tff(growth_rate_type, type, (
% 0.12/0.40 growth_rate: ( $i * $i ) > $i)).
% 0.12/0.40 tff(1,assumption,(in_environment(sk1(sk3), end_time(sk1(sk3)))), introduced(assumption)).
% 0.12/0.40 tff(2,plain,
% 0.12/0.40 ((~selection_favors(efficient_producers, first_movers, sk3)) <=> (~selection_favors(efficient_producers, first_movers, sk3))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(3,axiom,(~selection_favors(efficient_producers, first_movers, sk3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_t8_60')).
% 0.12/0.40 tff(4,plain,
% 0.12/0.40 (~selection_favors(efficient_producers, first_movers, sk3)),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.12/0.40 tff(5,plain,
% 0.12/0.40 (observational_period(sk3) <=> observational_period(sk3)),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(6,axiom,(observational_period(sk3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_t8_58')).
% 0.12/0.40 tff(7,plain,
% 0.12/0.40 (observational_period(sk3)),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.12/0.40 tff(8,plain,
% 0.12/0.40 (propagation_strategy(efficient_producers) <=> propagation_strategy(efficient_producers)),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(9,axiom,(propagation_strategy(efficient_producers)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_organizational_sets2_41')).
% 0.12/0.40 tff(10,plain,
% 0.12/0.40 (propagation_strategy(efficient_producers)),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.12/0.40 tff(11,plain,
% 0.12/0.40 (propagation_strategy(first_movers) <=> propagation_strategy(first_movers)),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(12,axiom,(propagation_strategy(first_movers)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_organizational_sets1_40')).
% 0.12/0.40 tff(13,plain,
% 0.12/0.40 (propagation_strategy(first_movers)),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.12/0.40 tff(14,plain,
% 0.12/0.40 (^[A: $i] : refl(((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) <=> ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(15,plain,
% 0.12/0.40 (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) <=> ![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[14])).
% 0.12/0.40 tff(16,plain,
% 0.12/0.40 (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) <=> ![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(17,plain,
% 0.12/0.40 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) <=> ((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))), (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))) <=> (((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))))), rewrite((((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))) <=> ((~propagation_strategy(first_movers)) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))), (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))) <=> ((~propagation_strategy(first_movers)) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))))), ((((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))) | selection_favors(efficient_producers, first_movers, A)) <=> (((~propagation_strategy(first_movers)) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) | selection_favors(efficient_producers, first_movers, A)))), rewrite((((~propagation_strategy(first_movers)) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) | selection_favors(efficient_producers, first_movers, A)) <=> ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))), ((((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))) | selection_favors(efficient_producers, first_movers, A)) <=> ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))))),
% 0.12/0.40 inference(bind,[status(th)],[])).
% 0.12/0.40 tff(18,plain,
% 0.12/0.40 (![A: $i] : (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))) | selection_favors(efficient_producers, first_movers, A)) <=> ![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))),
% 0.12/0.40 inference(quant_intro,[status(thm)],[17])).
% 0.12/0.40 tff(19,axiom,(![A: $i] : (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | environment(sk1(A))) | selection_favors(efficient_producers, first_movers, A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp3_favoured_trategy_35')).
% 0.12/0.40 tff(20,plain,
% 0.12/0.40 (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.12/0.40 tff(21,plain,
% 0.12/0.40 (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.12/0.40 tff(22,plain,(
% 0.12/0.40 ![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))),
% 0.12/0.40 inference(skolemize,[status(sab)],[21])).
% 0.12/0.40 tff(23,plain,
% 0.12/0.40 (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))),
% 0.12/0.40 inference(modus_ponens,[status(thm)],[22, 15])).
% 0.12/0.40 tff(24,plain,
% 0.12/0.40 (((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))) | ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~propagation_strategy(efficient_producers)) | environment(sk1(sk3)) | (~observational_period(sk3)))) <=> ((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))) | (~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~propagation_strategy(efficient_producers)) | environment(sk1(sk3)) | (~observational_period(sk3)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(25,plain,
% 0.12/0.40 (((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | environment(sk1(sk3)) | (~observational_period(sk3)) | (~propagation_strategy(efficient_producers))) <=> ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~propagation_strategy(efficient_producers)) | environment(sk1(sk3)) | (~observational_period(sk3)))),
% 0.12/0.40 inference(rewrite,[status(thm)],[])).
% 0.12/0.40 tff(26,plain,
% 0.12/0.40 (((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))) | ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | environment(sk1(sk3)) | (~observational_period(sk3)) | (~propagation_strategy(efficient_producers)))) <=> ((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))) | ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~propagation_strategy(efficient_producers)) | environment(sk1(sk3)) | (~observational_period(sk3))))),
% 0.12/0.40 inference(monotonicity,[status(thm)],[25])).
% 0.12/0.40 tff(27,plain,
% 0.12/0.40 (((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))) | ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | environment(sk1(sk3)) | (~observational_period(sk3)) | (~propagation_strategy(efficient_producers)))) <=> ((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))) | (~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~propagation_strategy(efficient_producers)) | environment(sk1(sk3)) | (~observational_period(sk3)))),
% 0.12/0.40 inference(transitivity,[status(thm)],[26, 24])).
% 0.12/0.40 tff(28,plain,
% 0.12/0.40 ((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))) | ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | environment(sk1(sk3)) | (~observational_period(sk3)) | (~propagation_strategy(efficient_producers)))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(29,plain,
% 0.12/0.41 ((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | environment(sk1(A)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))) | (~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~propagation_strategy(efficient_producers)) | environment(sk1(sk3)) | (~observational_period(sk3))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.12/0.41 tff(30,plain,
% 0.12/0.41 (environment(sk1(sk3))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[29, 23, 13, 10, 7, 4])).
% 0.12/0.41 tff(31,plain,
% 0.12/0.41 (^[B: $i, A: $i] : refl((subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A))) <=> (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(32,plain,
% 0.12/0.41 (![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A))) <=> ![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[31])).
% 0.12/0.41 tff(33,plain,
% 0.12/0.41 (![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A))) <=> ![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(34,plain,
% 0.12/0.41 (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~in_environment(A, B))) | subpopulation(first_movers, A, B)) <=> (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(35,plain,
% 0.12/0.41 (![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | subpopulation(first_movers, A, B)) <=> ![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[34])).
% 0.12/0.41 tff(36,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | subpopulation(first_movers, A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_subpopulations_46')).
% 0.12/0.41 tff(37,plain,
% 0.12/0.41 (![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.12/0.41 tff(38,plain,
% 0.12/0.41 (![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[37, 33])).
% 0.12/0.41 tff(39,plain,(
% 0.12/0.41 ![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.12/0.41 inference(skolemize,[status(sab)],[38])).
% 0.12/0.41 tff(40,plain,
% 0.12/0.41 (![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[39, 32])).
% 0.12/0.41 tff(41,plain,
% 0.12/0.41 (((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(42,plain,
% 0.12/0.41 ((subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3)))) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(43,plain,
% 0.12/0.41 (((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.12/0.41 inference(monotonicity,[status(thm)],[42])).
% 0.12/0.41 tff(44,plain,
% 0.12/0.41 (((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3))))),
% 0.12/0.41 inference(transitivity,[status(thm)],[43, 41])).
% 0.12/0.41 tff(45,plain,
% 0.12/0.41 ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(46,plain,
% 0.12/0.41 ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.12/0.41 tff(47,plain,
% 0.12/0.41 (subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[46, 40, 30, 1])).
% 0.12/0.41 tff(48,plain,
% 0.12/0.41 (^[B: $i, A: $i] : refl(((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B)) <=> ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B)))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(49,plain,
% 0.12/0.41 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B)) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[48])).
% 0.12/0.41 tff(50,plain,
% 0.12/0.41 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B)) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(51,plain,
% 0.12/0.41 (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~in_environment(A, B))) | subpopulation(efficient_producers, A, B)) <=> ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B)))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(52,plain,
% 0.12/0.41 (![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | subpopulation(efficient_producers, A, B)) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[51])).
% 0.12/0.41 tff(53,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | subpopulation(efficient_producers, A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_subpopulations_47')).
% 0.12/0.41 tff(54,plain,
% 0.12/0.41 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.12/0.41 tff(55,plain,
% 0.12/0.41 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[54, 50])).
% 0.12/0.41 tff(56,plain,(
% 0.12/0.41 ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))),
% 0.12/0.41 inference(skolemize,[status(sab)],[55])).
% 0.12/0.41 tff(57,plain,
% 0.12/0.41 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[56, 49])).
% 0.12/0.41 tff(58,plain,
% 0.12/0.41 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(59,plain,
% 0.12/0.41 (((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(60,plain,
% 0.12/0.41 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.12/0.41 inference(monotonicity,[status(thm)],[59])).
% 0.12/0.41 tff(61,plain,
% 0.12/0.41 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))),
% 0.12/0.41 inference(transitivity,[status(thm)],[60, 58])).
% 0.12/0.41 tff(62,plain,
% 0.12/0.41 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(63,plain,
% 0.12/0.41 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.12/0.41 tff(64,plain,
% 0.12/0.41 (subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[63, 57, 30, 1])).
% 0.12/0.41 tff(65,plain,
% 0.12/0.41 (^[B: $i, A: $i] : refl(((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero)) <=> ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero)))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(66,plain,
% 0.12/0.41 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero)) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[65])).
% 0.12/0.41 tff(67,plain,
% 0.12/0.41 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero)) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(68,plain,
% 0.12/0.41 (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~in_environment(A, B))) | greater_or_equal(cardinality_at_time(first_movers, B), zero)) <=> ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero)))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(69,plain,
% 0.12/0.41 (![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | greater_or_equal(cardinality_at_time(first_movers, B), zero)) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[68])).
% 0.12/0.41 tff(70,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | greater_or_equal(cardinality_at_time(first_movers, B), zero))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_first_movers_exist_45')).
% 0.12/0.41 tff(71,plain,
% 0.12/0.41 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.12/0.41 tff(72,plain,
% 0.12/0.41 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[71, 67])).
% 0.12/0.41 tff(73,plain,(
% 0.12/0.41 ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))),
% 0.12/0.41 inference(skolemize,[status(sab)],[72])).
% 0.12/0.41 tff(74,plain,
% 0.12/0.41 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[73, 66])).
% 0.12/0.41 tff(75,plain,
% 0.12/0.41 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(76,plain,
% 0.12/0.41 (((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(77,plain,
% 0.12/0.41 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))),
% 0.12/0.41 inference(monotonicity,[status(thm)],[76])).
% 0.12/0.41 tff(78,plain,
% 0.12/0.41 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))),
% 0.12/0.41 inference(transitivity,[status(thm)],[77, 75])).
% 0.12/0.41 tff(79,plain,
% 0.12/0.41 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))),
% 0.12/0.41 inference(quant_inst,[status(thm)],[])).
% 0.12/0.41 tff(80,plain,
% 0.12/0.41 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)),
% 0.12/0.41 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.12/0.41 tff(81,plain,
% 0.12/0.41 (greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)),
% 0.12/0.41 inference(unit_resolution,[status(thm)],[80, 74, 30, 1])).
% 0.12/0.41 tff(82,assumption,(~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))), introduced(assumption)).
% 0.12/0.41 tff(83,assumption,(greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))), introduced(assumption)).
% 0.12/0.41 tff(84,plain,
% 0.12/0.41 (^[A: $i] : refl(((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A))) <=> ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A))))),
% 0.12/0.41 inference(bind,[status(th)],[])).
% 0.12/0.41 tff(85,plain,
% 0.12/0.41 (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A))) <=> ![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))),
% 0.12/0.41 inference(quant_intro,[status(thm)],[84])).
% 0.12/0.41 tff(86,plain,
% 0.12/0.41 (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A))) <=> ![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))),
% 0.12/0.41 inference(rewrite,[status(thm)],[])).
% 0.12/0.41 tff(87,plain,
% 0.12/0.41 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) <=> ((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))), (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | in_environment(A, sk1(A))) <=> (((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) | in_environment(A, sk1(A))))), rewrite((((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) | in_environment(A, sk1(A))) <=> ((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))), (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | in_environment(A, sk1(A))) <=> ((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A))))), ((((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | in_environment(A, sk1(A))) | selection_favors(efficient_producers, first_movers, A)) <=> (((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A))) | selection_favors(efficient_producers, first_movers, A)))), rewrite((((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A))) | selection_favors(efficient_producers, first_movers, A)) <=> ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))), ((((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | in_environment(A, sk1(A))) | selection_favors(efficient_producers, first_movers, A)) <=> ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(88,plain,
% 0.12/0.42 (![A: $i] : (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | in_environment(A, sk1(A))) | selection_favors(efficient_producers, first_movers, A)) <=> ![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[87])).
% 0.12/0.42 tff(89,axiom,(![A: $i] : (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | in_environment(A, sk1(A))) | selection_favors(efficient_producers, first_movers, A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp3_favoured_trategy_36')).
% 0.12/0.42 tff(90,plain,
% 0.12/0.42 (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[89, 88])).
% 0.12/0.42 tff(91,plain,
% 0.12/0.42 (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[90, 86])).
% 0.12/0.42 tff(92,plain,(
% 0.12/0.42 ![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))),
% 0.12/0.42 inference(skolemize,[status(sab)],[91])).
% 0.12/0.42 tff(93,plain,
% 0.12/0.42 (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[92, 85])).
% 0.12/0.42 tff(94,plain,
% 0.12/0.42 (((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))) | ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~propagation_strategy(efficient_producers)) | (~observational_period(sk3)) | in_environment(sk3, sk1(sk3)))) <=> ((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))) | (~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~propagation_strategy(efficient_producers)) | (~observational_period(sk3)) | in_environment(sk3, sk1(sk3)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(95,plain,
% 0.12/0.42 (((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | (~propagation_strategy(efficient_producers)) | in_environment(sk3, sk1(sk3))) <=> ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~propagation_strategy(efficient_producers)) | (~observational_period(sk3)) | in_environment(sk3, sk1(sk3)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(96,plain,
% 0.12/0.42 (((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))) | ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | (~propagation_strategy(efficient_producers)) | in_environment(sk3, sk1(sk3)))) <=> ((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))) | ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~propagation_strategy(efficient_producers)) | (~observational_period(sk3)) | in_environment(sk3, sk1(sk3))))),
% 0.12/0.42 inference(monotonicity,[status(thm)],[95])).
% 0.12/0.42 tff(97,plain,
% 0.12/0.42 (((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))) | ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | (~propagation_strategy(efficient_producers)) | in_environment(sk3, sk1(sk3)))) <=> ((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))) | (~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~propagation_strategy(efficient_producers)) | (~observational_period(sk3)) | in_environment(sk3, sk1(sk3)))),
% 0.12/0.42 inference(transitivity,[status(thm)],[96, 94])).
% 0.12/0.42 tff(98,plain,
% 0.12/0.42 ((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))) | ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | (~propagation_strategy(efficient_producers)) | in_environment(sk3, sk1(sk3)))),
% 0.12/0.42 inference(quant_inst,[status(thm)],[])).
% 0.12/0.42 tff(99,plain,
% 0.12/0.42 ((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | in_environment(A, sk1(A)))) | (~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~propagation_strategy(efficient_producers)) | (~observational_period(sk3)) | in_environment(sk3, sk1(sk3))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.12/0.42 tff(100,plain,
% 0.12/0.42 (in_environment(sk3, sk1(sk3))),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[99, 93, 13, 10, 7, 4])).
% 0.12/0.42 tff(101,plain,
% 0.12/0.42 (slow_change(sk3) <=> slow_change(sk3)),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(102,axiom,(slow_change(sk3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_t8_59')).
% 0.12/0.42 tff(103,plain,
% 0.12/0.42 (slow_change(sk3)),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.12/0.42 tff(104,plain,
% 0.12/0.42 (^[B: $i, A: $i] : refl(((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B))) <=> ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(105,plain,
% 0.12/0.42 (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B))) <=> ![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[104])).
% 0.12/0.42 tff(106,plain,
% 0.12/0.42 (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B))) <=> ![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(107,plain,
% 0.12/0.42 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) <=> ((~environment(B)) | (~observational_period(A)) | (~slow_change(A)))), (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) <=> (((~environment(B)) | (~observational_period(A)) | (~slow_change(A))) | (~in_environment(A, B))))), rewrite((((~environment(B)) | (~observational_period(A)) | (~slow_change(A))) | (~in_environment(A, B))) <=> ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)))), (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) <=> ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A))))), ((((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | greater(sk2(B, A), critical_point(B))) <=> (((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A))) | greater(sk2(B, A), critical_point(B))))), rewrite((((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A))) | greater(sk2(B, A), critical_point(B))) <=> ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))), ((((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | greater(sk2(B, A), critical_point(B))) <=> ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(108,plain,
% 0.12/0.42 (![B: $i, A: $i] : (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | greater(sk2(B, A), critical_point(B))) <=> ![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[107])).
% 0.12/0.42 tff(109,axiom,(![B: $i, A: $i] : (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | greater(sk2(B, A), critical_point(B)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp4_critical_point_39')).
% 0.12/0.42 tff(110,plain,
% 0.12/0.42 (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[109, 108])).
% 0.12/0.42 tff(111,plain,
% 0.12/0.42 (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[110, 106])).
% 0.12/0.42 tff(112,plain,(
% 0.12/0.42 ![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.12/0.42 inference(skolemize,[status(sab)],[111])).
% 0.12/0.42 tff(113,plain,
% 0.12/0.42 (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[112, 105])).
% 0.12/0.42 tff(114,plain,
% 0.12/0.42 (((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | ((~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | (~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(115,plain,
% 0.12/0.42 (((~environment(sk1(sk3))) | (~observational_period(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) <=> ((~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(116,plain,
% 0.12/0.42 (((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | ((~environment(sk1(sk3))) | (~observational_period(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | ((~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))))),
% 0.12/0.42 inference(monotonicity,[status(thm)],[115])).
% 0.12/0.42 tff(117,plain,
% 0.12/0.42 (((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | ((~environment(sk1(sk3))) | (~observational_period(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | (~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))),
% 0.12/0.42 inference(transitivity,[status(thm)],[116, 114])).
% 0.12/0.42 tff(118,plain,
% 0.12/0.42 ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | ((~environment(sk1(sk3))) | (~observational_period(sk3)) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))),
% 0.12/0.42 inference(quant_inst,[status(thm)],[])).
% 0.12/0.42 tff(119,plain,
% 0.12/0.42 ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)) | greater(sk2(B, A), critical_point(B)))) | (~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[118, 117])).
% 0.12/0.42 tff(120,plain,
% 0.12/0.42 (greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[119, 113, 7, 103, 30, 100])).
% 0.12/0.42 tff(121,plain,
% 0.12/0.42 (![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)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(122,plain,
% 0.12/0.42 (![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)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(123,plain,
% 0.12/0.42 (^[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))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(124,plain,
% 0.12/0.42 (![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)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[123])).
% 0.12/0.42 tff(125,axiom,(![B: $i, A: $i, C: $i] : (((~greater(A, B)) | (~greater(B, C))) | greater(A, C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_greater_transitivity_50')).
% 0.12/0.42 tff(126,plain,
% 0.12/0.42 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[125, 124])).
% 0.12/0.42 tff(127,plain,
% 0.12/0.42 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[126, 122])).
% 0.12/0.42 tff(128,plain,(
% 0.12/0.42 ![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.12/0.42 inference(skolemize,[status(sab)],[127])).
% 0.12/0.42 tff(129,plain,
% 0.12/0.42 (![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[128, 121])).
% 0.12/0.42 tff(130,plain,
% 0.12/0.42 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(131,plain,
% 0.12/0.42 ((greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))) <=> ((~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(132,plain,
% 0.12/0.42 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))))))),
% 0.12/0.42 inference(monotonicity,[status(thm)],[131])).
% 0.12/0.42 tff(133,plain,
% 0.12/0.42 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.12/0.42 inference(transitivity,[status(thm)],[132, 130])).
% 0.12/0.42 tff(134,plain,
% 0.12/0.42 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))))),
% 0.12/0.42 inference(quant_inst,[status(thm)],[])).
% 0.12/0.42 tff(135,plain,
% 0.12/0.42 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) | (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[134, 133])).
% 0.12/0.42 tff(136,plain,
% 0.12/0.42 ($false),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[135, 129, 120, 83, 82])).
% 0.12/0.42 tff(137,plain,((~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.42 tff(138,plain,
% 0.12/0.42 (~greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[137, 82])).
% 0.12/0.42 tff(139,plain,
% 0.12/0.42 (^[A: $i] : refl(((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A))) <=> ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(140,plain,
% 0.12/0.42 (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A))) <=> ![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[139])).
% 0.12/0.42 tff(141,plain,
% 0.12/0.42 (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A))) <=> ![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(142,axiom,(![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_critical_point_after_EP_48')).
% 0.12/0.42 tff(143,plain,
% 0.12/0.42 (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[142, 141])).
% 0.12/0.42 tff(144,plain,(
% 0.12/0.42 ![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))),
% 0.12/0.42 inference(skolemize,[status(sab)],[143])).
% 0.12/0.42 tff(145,plain,
% 0.12/0.42 (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[144, 140])).
% 0.12/0.42 tff(146,plain,
% 0.12/0.42 (((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))) | ((~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))))) <=> ((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))) | (~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(147,plain,
% 0.12/0.42 ((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))) | ((~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.12/0.42 inference(quant_inst,[status(thm)],[])).
% 0.12/0.42 tff(148,plain,
% 0.12/0.42 ((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), appear(efficient_producers, A)))) | (~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.12/0.42 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.12/0.42 tff(149,plain,
% 0.12/0.42 (greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.12/0.42 inference(unit_resolution,[status(thm)],[148, 145, 30])).
% 0.12/0.42 tff(150,plain,
% 0.12/0.42 (^[B: $i, A: $i] : refl((greater(A, B) | (A = B) | (~greater_or_equal(A, B))) <=> (greater(A, B) | (A = B) | (~greater_or_equal(A, B))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(151,plain,
% 0.12/0.42 (![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B))) <=> ![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[150])).
% 0.12/0.42 tff(152,plain,
% 0.12/0.42 (![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B))) <=> ![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))),
% 0.12/0.42 inference(rewrite,[status(thm)],[])).
% 0.12/0.42 tff(153,plain,
% 0.12/0.42 (^[B: $i, A: $i] : rewrite((((~greater_or_equal(A, B)) | greater(A, B)) | (A = B)) <=> (greater(A, B) | (A = B) | (~greater_or_equal(A, B))))),
% 0.12/0.42 inference(bind,[status(th)],[])).
% 0.12/0.42 tff(154,plain,
% 0.12/0.42 (![B: $i, A: $i] : (((~greater_or_equal(A, B)) | greater(A, B)) | (A = B)) <=> ![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))),
% 0.12/0.42 inference(quant_intro,[status(thm)],[153])).
% 0.12/0.42 tff(155,axiom,(![B: $i, A: $i] : (((~greater_or_equal(A, B)) | greater(A, B)) | (A = B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_greater_or_equal_52')).
% 0.12/0.43 tff(156,plain,
% 0.12/0.43 (![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.12/0.43 tff(157,plain,
% 0.12/0.43 (![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[156, 152])).
% 0.12/0.43 tff(158,plain,(
% 0.12/0.43 ![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))),
% 0.12/0.43 inference(skolemize,[status(sab)],[157])).
% 0.12/0.43 tff(159,plain,
% 0.12/0.43 (![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[158, 151])).
% 0.12/0.43 tff(160,plain,
% 0.12/0.43 (((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(161,plain,
% 0.12/0.43 ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(162,plain,
% 0.12/0.43 ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[161, 160])).
% 0.12/0.43 tff(163,plain,
% 0.12/0.43 (greater(critical_point(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3)))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[162, 159, 149])).
% 0.12/0.43 tff(164,plain,
% 0.12/0.43 (critical_point(sk1(sk3)) = appear(efficient_producers, sk1(sk3))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[163, 138])).
% 0.12/0.43 tff(165,plain,
% 0.12/0.43 (appear(efficient_producers, sk1(sk3)) = critical_point(sk1(sk3))),
% 0.12/0.43 inference(symmetry,[status(thm)],[164])).
% 0.12/0.43 tff(166,plain,
% 0.12/0.43 (greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))) <=> greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[165])).
% 0.12/0.43 tff(167,plain,
% 0.12/0.43 (greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))) <=> greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))),
% 0.12/0.43 inference(symmetry,[status(thm)],[166])).
% 0.12/0.43 tff(168,plain,
% 0.12/0.43 (greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[120, 167])).
% 0.12/0.43 tff(169,plain,
% 0.12/0.43 ($false),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[82, 168])).
% 0.12/0.43 tff(170,plain,(greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.43 tff(171,assumption,(end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)), introduced(assumption)).
% 0.12/0.43 tff(172,plain,
% 0.12/0.43 (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) <=> selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[171])).
% 0.12/0.43 tff(173,plain,
% 0.12/0.43 (selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) <=> selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))),
% 0.12/0.43 inference(symmetry,[status(thm)],[172])).
% 0.12/0.43 tff(174,plain,
% 0.12/0.43 (^[B: $i, A: $i] : refl(((~greater(A, B)) | greater_or_equal(A, B)) <=> ((~greater(A, B)) | greater_or_equal(A, B)))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(175,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[174])).
% 0.12/0.43 tff(176,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(177,axiom,(![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_greater_or_equal_53')).
% 0.12/0.43 tff(178,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.12/0.43 tff(179,plain,(
% 0.12/0.43 ![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.12/0.43 inference(skolemize,[status(sab)],[178])).
% 0.12/0.43 tff(180,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[179, 175])).
% 0.12/0.43 tff(181,plain,
% 0.12/0.43 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(182,plain,
% 0.12/0.43 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(183,plain,
% 0.12/0.43 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[182, 181])).
% 0.12/0.43 tff(184,plain,
% 0.12/0.43 (greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[183, 180, 170])).
% 0.12/0.43 tff(185,plain,
% 0.12/0.43 (^[B: $i, A: $i] : refl(((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A))) <=> ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(186,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A))) <=> ![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[185])).
% 0.12/0.43 tff(187,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A))) <=> ![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(188,plain,
% 0.12/0.43 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) <=> ((~environment(B)) | (~observational_period(A)) | (~slow_change(A)))), (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) <=> (((~environment(B)) | (~observational_period(A)) | (~slow_change(A))) | (~in_environment(A, B))))), rewrite((((~environment(B)) | (~observational_period(A)) | (~slow_change(A))) | (~in_environment(A, B))) <=> ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A)))), (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) <=> ((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A))))), ((((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | in_environment(B, sk2(B, A))) <=> (((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A))) | in_environment(B, sk2(B, A))))), rewrite((((~environment(B)) | (~observational_period(A)) | (~in_environment(A, B)) | (~slow_change(A))) | in_environment(B, sk2(B, A))) <=> ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))), ((((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | in_environment(B, sk2(B, A))) <=> ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(189,plain,
% 0.12/0.43 (![B: $i, A: $i] : (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | in_environment(B, sk2(B, A))) <=> ![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[188])).
% 0.12/0.43 tff(190,axiom,(![B: $i, A: $i] : (((((~observational_period(A)) | (~slow_change(A))) | (~environment(B))) | (~in_environment(A, B))) | in_environment(B, sk2(B, A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp4_critical_point_38')).
% 0.12/0.43 tff(191,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[190, 189])).
% 0.12/0.43 tff(192,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[191, 187])).
% 0.12/0.43 tff(193,plain,(
% 0.12/0.43 ![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))),
% 0.12/0.43 inference(skolemize,[status(sab)],[192])).
% 0.12/0.43 tff(194,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[193, 186])).
% 0.12/0.43 tff(195,plain,
% 0.12/0.43 (((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))) | ((~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)))) <=> ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))) | (~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(196,plain,
% 0.12/0.43 (((~environment(sk1(sk3))) | (~observational_period(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3))) <=> ((~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(197,plain,
% 0.12/0.43 (((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))) | ((~environment(sk1(sk3))) | (~observational_period(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)))) <=> ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))) | ((~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3))))),
% 0.12/0.43 inference(monotonicity,[status(thm)],[196])).
% 0.12/0.43 tff(198,plain,
% 0.12/0.43 (((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))) | ((~environment(sk1(sk3))) | (~observational_period(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)))) <=> ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))) | (~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.12/0.43 inference(transitivity,[status(thm)],[197, 195])).
% 0.12/0.43 tff(199,plain,
% 0.12/0.43 ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))) | ((~environment(sk1(sk3))) | (~observational_period(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)))),
% 0.12/0.43 inference(quant_inst,[status(thm)],[])).
% 0.12/0.43 tff(200,plain,
% 0.12/0.43 ((~![B: $i, A: $i] : ((~environment(B)) | (~observational_period(A)) | in_environment(B, sk2(B, A)) | (~in_environment(A, B)) | (~slow_change(A)))) | (~observational_period(sk3)) | (~environment(sk1(sk3))) | (~in_environment(sk3, sk1(sk3))) | (~slow_change(sk3)) | in_environment(sk1(sk3), sk2(sk1(sk3), sk3))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[199, 198])).
% 0.12/0.43 tff(201,plain,
% 0.12/0.43 (in_environment(sk1(sk3), sk2(sk1(sk3), sk3))),
% 0.12/0.43 inference(unit_resolution,[status(thm)],[200, 194, 7, 103, 30, 100])).
% 0.12/0.43 tff(202,plain,
% 0.12/0.43 (^[B: $i, A: $i] : refl(((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A)))) <=> ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A)))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(203,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A)))) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[202])).
% 0.12/0.43 tff(204,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A)))) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(205,plain,
% 0.12/0.43 (^[B: $i, A: $i] : trans(monotonicity(rewrite((((~environment(A)) | (~in_environment(A, B))) | (~greater_or_equal(B, appear(efficient_producers, A)))) <=> ((~in_environment(A, B)) | (~environment(A)) | (~greater_or_equal(B, appear(efficient_producers, A))))), (((((~environment(A)) | (~in_environment(A, B))) | (~greater_or_equal(B, appear(efficient_producers, A)))) | greater(cardinality_at_time(efficient_producers, B), zero)) <=> (((~in_environment(A, B)) | (~environment(A)) | (~greater_or_equal(B, appear(efficient_producers, A)))) | greater(cardinality_at_time(efficient_producers, B), zero)))), rewrite((((~in_environment(A, B)) | (~environment(A)) | (~greater_or_equal(B, appear(efficient_producers, A)))) | greater(cardinality_at_time(efficient_producers, B), zero)) <=> ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))), (((((~environment(A)) | (~in_environment(A, B))) | (~greater_or_equal(B, appear(efficient_producers, A)))) | greater(cardinality_at_time(efficient_producers, B), zero)) <=> ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))))),
% 0.12/0.43 inference(bind,[status(th)],[])).
% 0.12/0.43 tff(206,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((((~environment(A)) | (~in_environment(A, B))) | (~greater_or_equal(B, appear(efficient_producers, A)))) | greater(cardinality_at_time(efficient_producers, B), zero)) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))),
% 0.12/0.43 inference(quant_intro,[status(thm)],[205])).
% 0.12/0.43 tff(207,axiom,(![B: $i, A: $i] : ((((~environment(A)) | (~in_environment(A, B))) | (~greater_or_equal(B, appear(efficient_producers, A)))) | greater(cardinality_at_time(efficient_producers, B), zero))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t6_57')).
% 0.12/0.43 tff(208,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.12/0.43 tff(209,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[208, 204])).
% 0.12/0.43 tff(210,plain,(
% 0.12/0.43 ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))),
% 0.12/0.43 inference(skolemize,[status(sab)],[209])).
% 0.12/0.43 tff(211,plain,
% 0.12/0.43 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))),
% 0.12/0.43 inference(modus_ponens,[status(thm)],[210, 203])).
% 0.12/0.43 tff(212,plain,
% 0.12/0.43 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(213,plain,
% 0.12/0.43 (((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))))),
% 0.12/0.43 inference(rewrite,[status(thm)],[])).
% 0.12/0.43 tff(214,plain,
% 0.12/0.43 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))))),
% 0.12/0.44 inference(monotonicity,[status(thm)],[213])).
% 0.12/0.44 tff(215,plain,
% 0.12/0.44 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))))),
% 0.12/0.44 inference(transitivity,[status(thm)],[214, 212])).
% 0.12/0.44 tff(216,plain,
% 0.12/0.44 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))))),
% 0.12/0.44 inference(quant_inst,[status(thm)],[])).
% 0.12/0.44 tff(217,plain,
% 0.12/0.44 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[216, 215])).
% 0.12/0.44 tff(218,plain,
% 0.12/0.44 (greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero) | (~greater_or_equal(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3))))),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[217, 211, 30, 201])).
% 0.12/0.44 tff(219,plain,
% 0.12/0.44 (greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[218, 184])).
% 0.12/0.44 tff(220,assumption,(~selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3))), introduced(assumption)).
% 0.12/0.44 tff(221,assumption,(greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)), introduced(assumption)).
% 0.12/0.44 tff(222,plain,
% 0.12/0.44 (((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3)))) <=> ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(223,plain,
% 0.12/0.44 ((subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3)))) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(224,plain,
% 0.12/0.44 (((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))))),
% 0.12/0.44 inference(monotonicity,[status(thm)],[223])).
% 0.12/0.44 tff(225,plain,
% 0.12/0.44 (((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.12/0.44 inference(transitivity,[status(thm)],[224, 222])).
% 0.12/0.44 tff(226,plain,
% 0.12/0.44 ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))))),
% 0.12/0.44 inference(quant_inst,[status(thm)],[])).
% 0.12/0.44 tff(227,plain,
% 0.12/0.44 ((~![B: $i, A: $i] : (subpopulation(first_movers, A, B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[226, 225])).
% 0.12/0.44 tff(228,plain,
% 0.12/0.44 (subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[227, 40, 30, 201])).
% 0.12/0.44 tff(229,plain,
% 0.12/0.44 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(230,plain,
% 0.12/0.44 (((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(231,plain,
% 0.12/0.44 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))))),
% 0.12/0.44 inference(monotonicity,[status(thm)],[230])).
% 0.12/0.44 tff(232,plain,
% 0.12/0.44 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.12/0.44 inference(transitivity,[status(thm)],[231, 229])).
% 0.12/0.44 tff(233,plain,
% 0.12/0.44 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.12/0.44 inference(quant_inst,[status(thm)],[])).
% 0.12/0.44 tff(234,plain,
% 0.12/0.44 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulation(efficient_producers, A, B))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[233, 232])).
% 0.12/0.44 tff(235,plain,
% 0.12/0.44 (subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))),
% 0.12/0.44 inference(unit_resolution,[status(thm)],[234, 57, 30, 201])).
% 0.12/0.44 tff(236,plain,
% 0.12/0.44 (^[B: $i, D: $i, A: $i, C: $i] : refl(((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))) <=> ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(237,plain,
% 0.12/0.44 (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))) <=> ![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[236])).
% 0.12/0.44 tff(238,plain,
% 0.12/0.44 (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))) <=> ![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))),
% 0.12/0.44 inference(rewrite,[status(thm)],[])).
% 0.12/0.44 tff(239,plain,
% 0.12/0.44 (^[B: $i, D: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~subpopulation(B, A, C))) | (~subpopulation(D, A, C))) <=> ((~environment(A)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))), (((((~environment(A)) | (~subpopulation(B, A, C))) | (~subpopulation(D, A, C))) | (~greater(cardinality_at_time(B, C), zero))) <=> (((~environment(A)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))) | (~greater(cardinality_at_time(B, C), zero))))), rewrite((((~environment(A)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))) | (~greater(cardinality_at_time(B, C), zero))) <=> ((~environment(A)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))), (((((~environment(A)) | (~subpopulation(B, A, C))) | (~subpopulation(D, A, C))) | (~greater(cardinality_at_time(B, C), zero))) <=> ((~environment(A)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))))), ((((((~environment(A)) | (~subpopulation(B, A, C))) | (~subpopulation(D, A, C))) | (~greater(cardinality_at_time(B, C), zero))) | (~(cardinality_at_time(D, C) = zero))) <=> (((~environment(A)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))) | (~(cardinality_at_time(D, C) = zero))))), rewrite((((~environment(A)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))) | (~(cardinality_at_time(D, C) = zero))) <=> ((~environment(A)) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))), ((((((~environment(A)) | (~subpopulation(B, A, C))) | (~subpopulation(D, A, C))) | (~greater(cardinality_at_time(B, C), zero))) | (~(cardinality_at_time(D, C) = zero))) <=> ((~environment(A)) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))))), (((((((~environment(A)) | (~subpopulation(B, A, C))) | (~subpopulation(D, A, C))) | (~greater(cardinality_at_time(B, C), zero))) | (~(cardinality_at_time(D, C) = zero))) | selection_favors(B, D, C)) <=> (((~environment(A)) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))) | selection_favors(B, D, C)))), rewrite((((~environment(A)) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C))) | selection_favors(B, D, C)) <=> ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))), (((((((~environment(A)) | (~subpopulation(B, A, C))) | (~subpopulation(D, A, C))) | (~greater(cardinality_at_time(B, C), zero))) | (~(cardinality_at_time(D, C) = zero))) | selection_favors(B, D, C)) <=> ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))))),
% 0.12/0.44 inference(bind,[status(th)],[])).
% 0.12/0.44 tff(240,plain,
% 0.12/0.44 (![B: $i, D: $i, A: $i, C: $i] : ((((((~environment(A)) | (~subpopulation(B, A, C))) | (~subpopulation(D, A, C))) | (~greater(cardinality_at_time(B, C), zero))) | (~(cardinality_at_time(D, C) = zero))) | selection_favors(B, D, C)) <=> ![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))),
% 0.12/0.44 inference(quant_intro,[status(thm)],[239])).
% 0.12/0.44 tff(241,axiom,(![B: $i, D: $i, A: $i, C: $i] : ((((((~environment(A)) | (~subpopulation(B, A, C))) | (~subpopulation(D, A, C))) | (~greater(cardinality_at_time(B, C), zero))) | (~(cardinality_at_time(D, C) = zero))) | selection_favors(B, D, C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp2_favour_members_34')).
% 0.12/0.44 tff(242,plain,
% 0.12/0.44 (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[241, 240])).
% 0.12/0.44 tff(243,plain,
% 0.12/0.44 (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[242, 238])).
% 0.12/0.44 tff(244,plain,(
% 0.12/0.44 ![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))),
% 0.12/0.44 inference(skolemize,[status(sab)],[243])).
% 0.12/0.44 tff(245,plain,
% 0.12/0.44 (![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))),
% 0.12/0.44 inference(modus_ponens,[status(thm)],[244, 237])).
% 0.12/0.44 tff(246,plain,
% 0.12/0.44 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | ((~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | (~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))))),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(247,plain,
% 0.12/0.45 (((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))) <=> ((~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))))),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(248,plain,
% 0.12/0.45 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | ((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | ((~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))))),
% 0.12/0.45 inference(monotonicity,[status(thm)],[247])).
% 0.12/0.45 tff(249,plain,
% 0.12/0.45 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | ((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | (~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))))),
% 0.12/0.45 inference(transitivity,[status(thm)],[248, 246])).
% 0.12/0.45 tff(250,plain,
% 0.12/0.45 ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | ((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))))),
% 0.12/0.45 inference(quant_inst,[status(thm)],[])).
% 0.12/0.45 tff(251,plain,
% 0.12/0.45 ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | (~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)) | (~subpopulation(first_movers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~subpopulation(efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[250, 249])).
% 0.12/0.45 tff(252,plain,
% 0.12/0.45 ((~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero))),
% 0.12/0.45 inference(unit_resolution,[status(thm)],[251, 245, 30, 235, 228])).
% 0.12/0.45 tff(253,plain,
% 0.12/0.45 (~(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)),
% 0.12/0.45 inference(unit_resolution,[status(thm)],[252, 221, 220])).
% 0.12/0.45 tff(254,assumption,(subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))), introduced(assumption)).
% 0.12/0.45 tff(255,plain,
% 0.12/0.45 (^[A: $i, C: $i] : refl(((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A)))) <=> ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A)))))),
% 0.12/0.45 inference(bind,[status(th)],[])).
% 0.12/0.45 tff(256,plain,
% 0.12/0.45 (![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A)))) <=> ![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))),
% 0.12/0.45 inference(quant_intro,[status(thm)],[255])).
% 0.12/0.45 tff(257,plain,
% 0.12/0.45 (![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A)))) <=> ![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(258,plain,
% 0.12/0.45 (^[A: $i, C: $i] : rewrite(((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, critical_point(A))) | (~subpopulations(first_movers, efficient_producers, A, C))) <=> ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A)))))),
% 0.12/0.45 inference(bind,[status(th)],[])).
% 0.12/0.45 tff(259,plain,
% 0.12/0.45 (![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, critical_point(A))) | (~subpopulations(first_movers, efficient_producers, A, C))) <=> ![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))),
% 0.12/0.45 inference(quant_intro,[status(thm)],[258])).
% 0.12/0.45 tff(260,plain,
% 0.12/0.45 (![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, critical_point(A))) | (~subpopulations(first_movers, efficient_producers, A, C))) <=> ![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, critical_point(A))) | (~subpopulations(first_movers, efficient_producers, A, C)))),
% 0.12/0.45 inference(elim_unused_vars,[status(thm)],[])).
% 0.12/0.45 tff(261,plain,
% 0.12/0.45 (![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A)))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, critical_point(A))) | (~subpopulations(first_movers, efficient_producers, A, C)))),
% 0.12/0.45 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.12/0.45 tff(262,plain,
% 0.12/0.45 (![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A)))) <=> ![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, critical_point(A))) | (~subpopulations(first_movers, efficient_producers, A, C)))),
% 0.12/0.45 inference(transitivity,[status(thm)],[261, 260])).
% 0.12/0.45 tff(263,plain,
% 0.12/0.45 (![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A)))) <=> ![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))),
% 0.12/0.45 inference(transitivity,[status(thm)],[262, 259])).
% 0.12/0.45 tff(264,plain,
% 0.12/0.45 (^[B: $i, A: $i, C: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~(B = critical_point(A)))) | (~subpopulations(first_movers, efficient_producers, A, C))) <=> ((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))), (((((~environment(A)) | (~(B = critical_point(A)))) | (~subpopulations(first_movers, efficient_producers, A, C))) | (~greater(C, B))) <=> (((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A)))) | (~greater(C, B))))), rewrite((((~environment(A)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A)))) | (~greater(C, B))) <=> ((~environment(A)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))), (((((~environment(A)) | (~(B = critical_point(A)))) | (~subpopulations(first_movers, efficient_producers, A, C))) | (~greater(C, B))) <=> ((~environment(A)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A)))))), ((((((~environment(A)) | (~(B = critical_point(A)))) | (~subpopulations(first_movers, efficient_producers, A, C))) | (~greater(C, B))) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C))) <=> (((~environment(A)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A)))) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C))))), rewrite((((~environment(A)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A)))) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C))) <=> ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))), ((((((~environment(A)) | (~(B = critical_point(A)))) | (~subpopulations(first_movers, efficient_producers, A, C))) | (~greater(C, B))) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C))) <=> ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))))),
% 0.12/0.45 inference(bind,[status(th)],[])).
% 0.12/0.45 tff(265,plain,
% 0.12/0.45 (![B: $i, A: $i, C: $i] : (((((~environment(A)) | (~(B = critical_point(A)))) | (~subpopulations(first_movers, efficient_producers, A, C))) | (~greater(C, B))) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C))) <=> ![B: $i, A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~greater(C, B)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~(B = critical_point(A))))),
% 0.12/0.45 inference(quant_intro,[status(thm)],[264])).
% 0.12/0.45 tff(266,plain,
% 0.12/0.45 (![B: $i, A: $i, C: $i] : (((((~environment(A)) | (~(B = critical_point(A)))) | (~subpopulations(first_movers, efficient_producers, A, C))) | (~greater(C, B))) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C))) <=> ![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))),
% 0.12/0.45 inference(transitivity,[status(thm)],[265, 263])).
% 0.12/0.45 tff(267,axiom,(![B: $i, A: $i, C: $i] : (((((~environment(A)) | (~(B = critical_point(A)))) | (~subpopulations(first_movers, efficient_producers, A, C))) | (~greater(C, B))) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','d1_56')).
% 0.12/0.45 tff(268,plain,
% 0.12/0.45 (![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[267, 266])).
% 0.12/0.45 tff(269,plain,
% 0.12/0.45 (![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[268, 257])).
% 0.12/0.45 tff(270,plain,(
% 0.12/0.45 ![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))),
% 0.12/0.45 inference(skolemize,[status(sab)],[269])).
% 0.12/0.45 tff(271,plain,
% 0.12/0.45 (![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[270, 256])).
% 0.12/0.45 tff(272,plain,
% 0.12/0.45 (((~![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))) | ((~environment(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))))) <=> ((~![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))) | (~environment(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))))),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(273,plain,
% 0.12/0.45 (((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))) <=> ((~environment(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))))),
% 0.12/0.45 inference(rewrite,[status(thm)],[])).
% 0.12/0.45 tff(274,plain,
% 0.12/0.45 (((~![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))) | ((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))))) <=> ((~![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))) | ((~environment(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))))),
% 0.12/0.45 inference(monotonicity,[status(thm)],[273])).
% 0.12/0.45 tff(275,plain,
% 0.12/0.45 (((~![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))) | ((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))))) <=> ((~![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))) | (~environment(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))))),
% 0.12/0.45 inference(transitivity,[status(thm)],[274, 272])).
% 0.12/0.45 tff(276,plain,
% 0.12/0.45 ((~![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))) | ((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))))),
% 0.12/0.45 inference(quant_inst,[status(thm)],[])).
% 0.12/0.45 tff(277,plain,
% 0.12/0.45 ((~![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))) | (~environment(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.12/0.45 inference(modus_ponens,[status(thm)],[276, 275])).
% 0.12/0.45 tff(278,plain,
% 0.12/0.45 (greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)))),
% 0.12/0.45 inference(unit_resolution,[status(thm)],[277, 271, 30, 120])).
% 0.12/0.45 tff(279,plain,
% 0.12/0.45 (greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))),
% 0.12/0.46 inference(unit_resolution,[status(thm)],[278, 254])).
% 0.12/0.46 tff(280,plain,
% 0.12/0.46 (^[B: $i, D: $i, A: $i, C: $i] : refl((selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A))) <=> (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A))))),
% 0.12/0.46 inference(bind,[status(th)],[])).
% 0.12/0.46 tff(281,plain,
% 0.12/0.46 (![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A))) <=> ![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))),
% 0.12/0.46 inference(quant_intro,[status(thm)],[280])).
% 0.12/0.46 tff(282,plain,
% 0.12/0.46 (![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A))) <=> ![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))),
% 0.12/0.46 inference(rewrite,[status(thm)],[])).
% 0.12/0.46 tff(283,plain,
% 0.12/0.46 (^[B: $i, D: $i, A: $i, C: $i] : trans(monotonicity(rewrite((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater(growth_rate(C, D), growth_rate(B, D)))) <=> ((~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))), (((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater(growth_rate(C, D), growth_rate(B, D)))) | selection_favors(C, B, D)) <=> (((~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A))) | selection_favors(C, B, D)))), rewrite((((~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A))) | selection_favors(C, B, D)) <=> (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))), (((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater(growth_rate(C, D), growth_rate(B, D)))) | selection_favors(C, B, D)) <=> (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))))),
% 0.12/0.46 inference(bind,[status(th)],[])).
% 0.12/0.46 tff(284,plain,
% 0.12/0.46 (![B: $i, D: $i, A: $i, C: $i] : ((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater(growth_rate(C, D), growth_rate(B, D)))) | selection_favors(C, B, D)) <=> ![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))),
% 0.12/0.46 inference(quant_intro,[status(thm)],[283])).
% 0.12/0.46 tff(285,axiom,(![B: $i, D: $i, A: $i, C: $i] : ((((~environment(A)) | (~subpopulations(B, C, A, D))) | (~greater(growth_rate(C, D), growth_rate(B, D)))) | selection_favors(C, B, D))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp1_high_growth_rates_33')).
% 0.12/0.46 tff(286,plain,
% 0.12/0.46 (![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))),
% 0.12/0.46 inference(modus_ponens,[status(thm)],[285, 284])).
% 0.12/0.46 tff(287,plain,
% 0.12/0.46 (![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))),
% 0.12/0.46 inference(modus_ponens,[status(thm)],[286, 282])).
% 0.12/0.46 tff(288,plain,(
% 0.12/0.46 ![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))),
% 0.12/0.46 inference(skolemize,[status(sab)],[287])).
% 0.12/0.46 tff(289,plain,
% 0.12/0.46 (![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))),
% 0.12/0.46 inference(modus_ponens,[status(thm)],[288, 281])).
% 0.12/0.46 tff(290,plain,
% 0.12/0.46 (((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | ((~environment(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(291,plain,
% 0.22/0.46 ((selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3)))) <=> ((~environment(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(292,plain,
% 0.22/0.46 (((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | ((~environment(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))))))),
% 0.22/0.46 inference(monotonicity,[status(thm)],[291])).
% 0.22/0.46 tff(293,plain,
% 0.22/0.46 (((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))))),
% 0.22/0.46 inference(transitivity,[status(thm)],[292, 290])).
% 0.22/0.46 tff(294,plain,
% 0.22/0.46 ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))))),
% 0.22/0.46 inference(quant_inst,[status(thm)],[])).
% 0.22/0.46 tff(295,plain,
% 0.22/0.46 ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3)) | (~greater(growth_rate(efficient_producers, sk2(sk1(sk3), sk3)), growth_rate(first_movers, sk2(sk1(sk3), sk3))))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[294, 293])).
% 0.22/0.46 tff(296,plain,
% 0.22/0.46 ($false),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[295, 289, 30, 279, 254, 220])).
% 0.22/0.46 tff(297,plain,((~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.46 tff(298,plain,
% 0.22/0.46 (~subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3))),
% 0.22/0.46 inference(unit_resolution,[status(thm)],[297, 220])).
% 0.22/0.46 tff(299,plain,
% 0.22/0.46 (^[B: $i, A: $i] : refl(((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero))) <=> ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero))))),
% 0.22/0.46 inference(bind,[status(th)],[])).
% 0.22/0.46 tff(300,plain,
% 0.22/0.46 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero))) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))),
% 0.22/0.46 inference(quant_intro,[status(thm)],[299])).
% 0.22/0.46 tff(301,plain,
% 0.22/0.46 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero))) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(302,plain,
% 0.22/0.46 (^[B: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~environment(A)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(first_movers, B), zero))) <=> ((~in_environment(A, B)) | (~environment(A)) | (~greater(cardinality_at_time(first_movers, B), zero)))), (((((~environment(A)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(first_movers, B), zero))) | (~greater(cardinality_at_time(efficient_producers, B), zero))) <=> (((~in_environment(A, B)) | (~environment(A)) | (~greater(cardinality_at_time(first_movers, B), zero))) | (~greater(cardinality_at_time(efficient_producers, B), zero))))), rewrite((((~in_environment(A, B)) | (~environment(A)) | (~greater(cardinality_at_time(first_movers, B), zero))) | (~greater(cardinality_at_time(efficient_producers, B), zero))) <=> ((~in_environment(A, B)) | (~environment(A)) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))), (((((~environment(A)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(first_movers, B), zero))) | (~greater(cardinality_at_time(efficient_producers, B), zero))) <=> ((~in_environment(A, B)) | (~environment(A)) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero))))), ((((((~environment(A)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(first_movers, B), zero))) | (~greater(cardinality_at_time(efficient_producers, B), zero))) | subpopulations(first_movers, efficient_producers, A, B)) <=> (((~in_environment(A, B)) | (~environment(A)) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero))) | subpopulations(first_movers, efficient_producers, A, B)))), rewrite((((~in_environment(A, B)) | (~environment(A)) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero))) | subpopulations(first_movers, efficient_producers, A, B)) <=> ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))), ((((((~environment(A)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(first_movers, B), zero))) | (~greater(cardinality_at_time(efficient_producers, B), zero))) | subpopulations(first_movers, efficient_producers, A, B)) <=> ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))))),
% 0.22/0.46 inference(bind,[status(th)],[])).
% 0.22/0.46 tff(303,plain,
% 0.22/0.46 (![B: $i, A: $i] : (((((~environment(A)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(first_movers, B), zero))) | (~greater(cardinality_at_time(efficient_producers, B), zero))) | subpopulations(first_movers, efficient_producers, A, B)) <=> ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))),
% 0.22/0.46 inference(quant_intro,[status(thm)],[302])).
% 0.22/0.46 tff(304,axiom,(![B: $i, A: $i] : (((((~environment(A)) | (~in_environment(A, B))) | (~greater(cardinality_at_time(first_movers, B), zero))) | (~greater(cardinality_at_time(efficient_producers, B), zero))) | subpopulations(first_movers, efficient_producers, A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_contains_FM_and_EP_44')).
% 0.22/0.46 tff(305,plain,
% 0.22/0.46 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[304, 303])).
% 0.22/0.46 tff(306,plain,
% 0.22/0.46 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[305, 301])).
% 0.22/0.46 tff(307,plain,(
% 0.22/0.46 ![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))),
% 0.22/0.46 inference(skolemize,[status(sab)],[306])).
% 0.22/0.46 tff(308,plain,
% 0.22/0.46 (![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[307, 300])).
% 0.22/0.46 tff(309,plain,
% 0.22/0.46 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(310,plain,
% 0.22/0.47 (((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))) <=> ((~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(311,plain,
% 0.22/0.47 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))))),
% 0.22/0.47 inference(monotonicity,[status(thm)],[310])).
% 0.22/0.47 tff(312,plain,
% 0.22/0.47 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))),
% 0.22/0.47 inference(transitivity,[status(thm)],[311, 309])).
% 0.22/0.47 tff(313,plain,
% 0.22/0.47 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))),
% 0.22/0.47 inference(quant_inst,[status(thm)],[])).
% 0.22/0.47 tff(314,plain,
% 0.22/0.47 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[313, 312])).
% 0.22/0.47 tff(315,plain,
% 0.22/0.47 (subpopulations(first_movers, efficient_producers, sk1(sk3), sk2(sk1(sk3), sk3)) | (~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[314, 308, 30, 201])).
% 0.22/0.47 tff(316,plain,
% 0.22/0.47 (~greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[315, 221, 298])).
% 0.22/0.47 tff(317,plain,
% 0.22/0.47 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(318,plain,
% 0.22/0.47 (((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(319,plain,
% 0.22/0.47 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))),
% 0.22/0.47 inference(monotonicity,[status(thm)],[318])).
% 0.22/0.47 tff(320,plain,
% 0.22/0.47 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))),
% 0.22/0.47 inference(transitivity,[status(thm)],[319, 317])).
% 0.22/0.47 tff(321,plain,
% 0.22/0.47 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | ((~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))),
% 0.22/0.47 inference(quant_inst,[status(thm)],[])).
% 0.22/0.47 tff(322,plain,
% 0.22/0.47 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater_or_equal(cardinality_at_time(first_movers, B), zero))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[321, 320])).
% 0.22/0.47 tff(323,plain,
% 0.22/0.47 (greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[322, 74, 30, 201])).
% 0.22/0.47 tff(324,plain,
% 0.22/0.47 (((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero) | (cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero) | (~greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))) <=> ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero) | (cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero) | (~greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(325,plain,
% 0.22/0.47 ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero) | (cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero) | (~greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero)))),
% 0.22/0.47 inference(quant_inst,[status(thm)],[])).
% 0.22/0.47 tff(326,plain,
% 0.22/0.47 ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero) | (cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero) | (~greater_or_equal(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[325, 324])).
% 0.22/0.47 tff(327,plain,
% 0.22/0.47 (greater(cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)), zero) | (cardinality_at_time(first_movers, sk2(sk1(sk3), sk3)) = zero)),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[326, 159, 323])).
% 0.22/0.47 tff(328,plain,
% 0.22/0.47 ($false),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[327, 316, 253])).
% 0.22/0.47 tff(329,plain,((~greater(cardinality_at_time(efficient_producers, sk2(sk1(sk3), sk3)), zero)) | selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.47 tff(330,plain,
% 0.22/0.47 (selection_favors(efficient_producers, first_movers, sk2(sk1(sk3), sk3))),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[329, 219])).
% 0.22/0.47 tff(331,plain,
% 0.22/0.47 (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[330, 173])).
% 0.22/0.47 tff(332,plain,
% 0.22/0.47 (^[A: $i] : refl(((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) <=> ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(333,plain,
% 0.22/0.47 (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) <=> ![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[332])).
% 0.22/0.47 tff(334,plain,
% 0.22/0.47 (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) <=> ![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(335,plain,
% 0.22/0.47 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) <=> ((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)))), (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) <=> (((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))))), rewrite((((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) <=> ((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))), (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) <=> ((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))))), ((((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) | selection_favors(efficient_producers, first_movers, A)) <=> (((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) | selection_favors(efficient_producers, first_movers, A)))), rewrite((((~propagation_strategy(first_movers)) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) | selection_favors(efficient_producers, first_movers, A)) <=> ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))), ((((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) | selection_favors(efficient_producers, first_movers, A)) <=> ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(336,plain,
% 0.22/0.47 (![A: $i] : (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) | selection_favors(efficient_producers, first_movers, A)) <=> ![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[335])).
% 0.22/0.47 tff(337,axiom,(![A: $i] : (((((~observational_period(A)) | (~propagation_strategy(first_movers))) | (~propagation_strategy(efficient_producers))) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A))))) | selection_favors(efficient_producers, first_movers, A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp3_favoured_trategy_37')).
% 0.22/0.47 tff(338,plain,
% 0.22/0.47 (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[337, 336])).
% 0.22/0.47 tff(339,plain,
% 0.22/0.47 (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[338, 334])).
% 0.22/0.47 tff(340,plain,(
% 0.22/0.47 ![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.22/0.47 inference(skolemize,[status(sab)],[339])).
% 0.22/0.47 tff(341,plain,
% 0.22/0.47 (![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[340, 333])).
% 0.22/0.47 tff(342,plain,
% 0.22/0.47 (((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))) | ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~propagation_strategy(efficient_producers)) | (~observational_period(sk3)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))))) <=> ((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))) | (~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~propagation_strategy(efficient_producers)) | (~observational_period(sk3)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(343,plain,
% 0.22/0.47 (((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))))) <=> ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~propagation_strategy(efficient_producers)) | (~observational_period(sk3)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(344,plain,
% 0.22/0.47 (((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))) | ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))))) <=> ((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))) | ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~propagation_strategy(efficient_producers)) | (~observational_period(sk3)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))))))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[343])).
% 0.22/0.48 tff(345,plain,
% 0.22/0.48 (((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))) | ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))))) <=> ((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))) | (~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~propagation_strategy(efficient_producers)) | (~observational_period(sk3)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))))),
% 0.22/0.48 inference(transitivity,[status(thm)],[344, 342])).
% 0.22/0.48 tff(346,plain,
% 0.22/0.48 ((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))) | ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~observational_period(sk3)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(347,plain,
% 0.22/0.48 ((~![A: $i] : ((~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, A) | (~observational_period(A)) | (~propagation_strategy(efficient_producers)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(A)))))) | (~propagation_strategy(first_movers)) | selection_favors(efficient_producers, first_movers, sk3) | (~propagation_strategy(efficient_producers)) | (~observational_period(sk3)) | (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[346, 345])).
% 0.22/0.48 tff(348,plain,
% 0.22/0.48 (~selection_favors(efficient_producers, first_movers, end_time(sk1(sk3)))),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[347, 341, 13, 10, 7, 4])).
% 0.22/0.48 tff(349,plain,
% 0.22/0.48 ($false),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[348, 331])).
% 0.22/0.48 tff(350,plain,(~(end_time(sk1(sk3)) = sk2(sk1(sk3), sk3))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.48 tff(351,plain,
% 0.22/0.48 (^[B: $i, A: $i] : refl((greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A))) <=> (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A))))),
% 0.22/0.48 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(352,plain,
% 0.22/0.48 (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A))) <=> ![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[351])).
% 0.22/0.48 tff(353,plain,
% 0.22/0.48 (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A))) <=> ![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(354,plain,
% 0.22/0.48 (^[B: $i, A: $i] : rewrite((((~environment(A)) | (~in_environment(A, B))) | greater_or_equal(end_time(A), B)) <=> (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A))))),
% 0.22/0.48 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(355,plain,
% 0.22/0.48 (![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | greater_or_equal(end_time(A), B)) <=> ![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[354])).
% 0.22/0.48 tff(356,axiom,(![B: $i, A: $i] : (((~environment(A)) | (~in_environment(A, B))) | greater_or_equal(end_time(A), B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_environment_end_point_43')).
% 0.22/0.48 tff(357,plain,
% 0.22/0.48 (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[356, 355])).
% 0.22/0.48 tff(358,plain,
% 0.22/0.48 (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[357, 353])).
% 0.22/0.48 tff(359,plain,(
% 0.22/0.48 ![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.48 inference(skolemize,[status(sab)],[358])).
% 0.22/0.48 tff(360,plain,
% 0.22/0.48 (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[359, 352])).
% 0.22/0.48 tff(361,plain,
% 0.22/0.48 (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))) <=> ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(362,plain,
% 0.22/0.48 ((greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3)))) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(363,plain,
% 0.22/0.48 (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[362])).
% 0.22/0.48 tff(364,plain,
% 0.22/0.48 (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))),
% 0.22/0.48 inference(transitivity,[status(thm)],[363, 361])).
% 0.22/0.48 tff(365,plain,
% 0.22/0.48 ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | (~environment(sk1(sk3))))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(366,plain,
% 0.22/0.48 ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), sk2(sk1(sk3), sk3))) | greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[365, 364])).
% 0.22/0.48 tff(367,plain,
% 0.22/0.48 (greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[366, 360, 30, 201])).
% 0.22/0.48 tff(368,plain,
% 0.22/0.48 (((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)) | (~greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)) | (~greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(369,plain,
% 0.22/0.48 ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)) | (~greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(370,plain,
% 0.22/0.48 ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)) | (~greater_or_equal(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[369, 368])).
% 0.22/0.48 tff(371,plain,
% 0.22/0.48 (greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)) | (end_time(sk1(sk3)) = sk2(sk1(sk3), sk3))),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[370, 159, 367])).
% 0.22/0.48 tff(372,plain,
% 0.22/0.48 (greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[371, 350])).
% 0.22/0.48 tff(373,plain,
% 0.22/0.48 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))) | greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))) | greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(374,plain,
% 0.22/0.48 ((greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))) <=> ((~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))) | greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(375,plain,
% 0.22/0.48 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))) | greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[374])).
% 0.22/0.48 tff(376,plain,
% 0.22/0.48 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))) | greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.48 inference(transitivity,[status(thm)],[375, 373])).
% 0.22/0.48 tff(377,plain,
% 0.22/0.48 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(378,plain,
% 0.22/0.48 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk2(sk1(sk3), sk3), appear(efficient_producers, sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))) | greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[377, 376])).
% 0.22/0.48 tff(379,plain,
% 0.22/0.48 (greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[378, 129, 372, 170])).
% 0.22/0.48 tff(380,plain,
% 0.22/0.48 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(381,plain,
% 0.22/0.48 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(382,plain,
% 0.22/0.48 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[381, 380])).
% 0.22/0.48 tff(383,plain,
% 0.22/0.48 (greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[382, 180, 379])).
% 0.22/0.48 tff(384,plain,
% 0.22/0.48 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(385,plain,
% 0.22/0.48 (((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))))) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(386,plain,
% 0.22/0.48 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))))))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[385])).
% 0.22/0.48 tff(387,plain,
% 0.22/0.48 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.48 inference(transitivity,[status(thm)],[386, 384])).
% 0.22/0.48 tff(388,plain,
% 0.22/0.48 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3)))))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(389,plain,
% 0.22/0.48 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | greater(cardinality_at_time(efficient_producers, B), zero) | (~greater_or_equal(B, appear(efficient_producers, A))))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero) | (~greater_or_equal(end_time(sk1(sk3)), appear(efficient_producers, sk1(sk3))))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[388, 387])).
% 0.22/0.48 tff(390,plain,
% 0.22/0.48 ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[389, 211, 30, 383])).
% 0.22/0.48 tff(391,plain,
% 0.22/0.48 (greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[390, 1])).
% 0.22/0.48 tff(392,assumption,(subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))), introduced(assumption)).
% 0.22/0.48 tff(393,assumption,(~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))), introduced(assumption)).
% 0.22/0.48 tff(394,assumption,(greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))), introduced(assumption)).
% 0.22/0.48 tff(395,plain,
% 0.22/0.48 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(396,plain,
% 0.22/0.48 ((greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))) <=> ((~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(397,plain,
% 0.22/0.48 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[396])).
% 0.22/0.49 tff(398,plain,
% 0.22/0.49 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))),
% 0.22/0.49 inference(transitivity,[status(thm)],[397, 395])).
% 0.22/0.49 tff(399,plain,
% 0.22/0.49 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))))),
% 0.22/0.49 inference(quant_inst,[status(thm)],[])).
% 0.22/0.49 tff(400,plain,
% 0.22/0.49 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater(end_time(sk1(sk3)), critical_point(sk1(sk3))) | (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[399, 398])).
% 0.22/0.49 tff(401,plain,
% 0.22/0.49 ($false),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[400, 129, 120, 394, 393])).
% 0.22/0.49 tff(402,plain,((~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))) | greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.49 tff(403,plain,
% 0.22/0.49 (greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[402, 372])).
% 0.22/0.49 tff(404,plain,
% 0.22/0.49 (((~![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))) | ((~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))))) <=> ((~![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))) | (~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(405,plain,
% 0.22/0.49 (((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3))))) <=> ((~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(406,plain,
% 0.22/0.49 (((~![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))) | ((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))))) <=> ((~![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))) | ((~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[405])).
% 0.22/0.49 tff(407,plain,
% 0.22/0.49 (((~![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))) | ((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))))) <=> ((~![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))) | (~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))))),
% 0.22/0.49 inference(transitivity,[status(thm)],[406, 404])).
% 0.22/0.49 tff(408,plain,
% 0.22/0.49 ((~![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))) | ((~environment(sk1(sk3))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))))),
% 0.22/0.49 inference(quant_inst,[status(thm)],[])).
% 0.22/0.49 tff(409,plain,
% 0.22/0.49 ((~![A: $i, C: $i] : ((~environment(A)) | greater(growth_rate(efficient_producers, C), growth_rate(first_movers, C)) | (~subpopulations(first_movers, efficient_producers, A, C)) | (~greater(C, critical_point(A))))) | (~environment(sk1(sk3))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[408, 407])).
% 0.22/0.49 tff(410,plain,
% 0.22/0.49 ((~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[409, 271, 30, 403])).
% 0.22/0.49 tff(411,plain,
% 0.22/0.49 (greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[410, 392])).
% 0.22/0.49 tff(412,plain,
% 0.22/0.49 (((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(413,plain,
% 0.22/0.49 ((selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3)))) <=> (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(414,plain,
% 0.22/0.49 (((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))))))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[413])).
% 0.22/0.49 tff(415,plain,
% 0.22/0.49 (((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))))),
% 0.22/0.49 inference(transitivity,[status(thm)],[414, 412])).
% 0.22/0.49 tff(416,plain,
% 0.22/0.49 ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3))))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))))),
% 0.22/0.49 inference(quant_inst,[status(thm)],[])).
% 0.22/0.49 tff(417,plain,
% 0.22/0.49 ((~![B: $i, D: $i, A: $i, C: $i] : (selection_favors(C, B, D) | (~greater(growth_rate(C, D), growth_rate(B, D))) | (~subpopulations(B, C, A, D)) | (~environment(A)))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))) | (~greater(growth_rate(efficient_producers, end_time(sk1(sk3))), growth_rate(first_movers, end_time(sk1(sk3)))))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[416, 415])).
% 0.22/0.49 tff(418,plain,
% 0.22/0.49 ($false),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[417, 289, 30, 348, 392, 411])).
% 0.22/0.49 tff(419,plain,(~subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.49 tff(420,plain,
% 0.22/0.49 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(421,plain,
% 0.22/0.49 (((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))) <=> ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(422,plain,
% 0.22/0.49 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[421])).
% 0.22/0.49 tff(423,plain,
% 0.22/0.49 (((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))) <=> ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))),
% 0.22/0.50 inference(transitivity,[status(thm)],[422, 420])).
% 0.22/0.50 tff(424,plain,
% 0.22/0.50 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~environment(sk1(sk3))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(425,plain,
% 0.22/0.50 ((~![B: $i, A: $i] : ((~in_environment(A, B)) | (~environment(A)) | subpopulations(first_movers, efficient_producers, A, B) | (~greater(cardinality_at_time(efficient_producers, B), zero)) | (~greater(cardinality_at_time(first_movers, B), zero)))) | (~environment(sk1(sk3))) | (~in_environment(sk1(sk3), end_time(sk1(sk3)))) | subpopulations(first_movers, efficient_producers, sk1(sk3), end_time(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[424, 423])).
% 0.22/0.50 tff(426,plain,
% 0.22/0.50 ((~in_environment(sk1(sk3), end_time(sk1(sk3)))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[425, 308, 30, 419])).
% 0.22/0.50 tff(427,plain,
% 0.22/0.50 (~greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[426, 391, 1])).
% 0.22/0.50 tff(428,plain,
% 0.22/0.50 (((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero) | (cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero) | (~greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))) <=> ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero) | (cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero) | (~greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(429,plain,
% 0.22/0.50 ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero) | (cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero) | (~greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero)))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(430,plain,
% 0.22/0.50 ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | greater(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero) | (cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero) | (~greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[429, 428])).
% 0.22/0.50 tff(431,plain,
% 0.22/0.50 ((cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero) | (~greater_or_equal(cardinality_at_time(first_movers, end_time(sk1(sk3))), zero))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[430, 159, 427])).
% 0.22/0.50 tff(432,plain,
% 0.22/0.50 (cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[431, 81])).
% 0.22/0.50 tff(433,plain,
% 0.22/0.50 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(434,plain,
% 0.22/0.50 (((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))) <=> (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(435,plain,
% 0.22/0.50 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | ((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | (selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[434])).
% 0.22/0.50 tff(436,plain,
% 0.22/0.50 (((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | ((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))))) <=> ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.22/0.50 inference(transitivity,[status(thm)],[435, 433])).
% 0.22/0.50 tff(437,plain,
% 0.22/0.50 ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | ((~environment(sk1(sk3))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3)))))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(438,plain,
% 0.22/0.50 ((~![B: $i, D: $i, A: $i, C: $i] : ((~environment(A)) | selection_favors(B, D, C) | (~(cardinality_at_time(D, C) = zero)) | (~greater(cardinality_at_time(B, C), zero)) | (~subpopulation(D, A, C)) | (~subpopulation(B, A, C)))) | selection_favors(efficient_producers, first_movers, end_time(sk1(sk3))) | (~environment(sk1(sk3))) | (~greater(cardinality_at_time(efficient_producers, end_time(sk1(sk3))), zero)) | (~(cardinality_at_time(first_movers, end_time(sk1(sk3))) = zero)) | (~subpopulation(first_movers, sk1(sk3), end_time(sk1(sk3)))) | (~subpopulation(efficient_producers, sk1(sk3), end_time(sk1(sk3))))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[437, 436])).
% 0.22/0.50 tff(439,plain,
% 0.22/0.50 ($false),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[438, 245, 30, 348, 391, 432, 64, 47])).
% 0.22/0.50 tff(440,plain,(~in_environment(sk1(sk3), end_time(sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.50 tff(441,assumption,(greater(end_time(sk1(sk3)), start_time(sk1(sk3)))), introduced(assumption)).
% 0.22/0.50 tff(442,assumption,(~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))), introduced(assumption)).
% 0.22/0.50 tff(443,plain,
% 0.22/0.50 (^[B: $i, A: $i] : refl((greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A)))) <=> (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A)))))),
% 0.22/0.50 inference(bind,[status(th)],[])).
% 0.22/0.50 tff(444,plain,
% 0.22/0.50 (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A)))) <=> ![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))),
% 0.22/0.50 inference(quant_intro,[status(thm)],[443])).
% 0.22/0.50 tff(445,plain,
% 0.22/0.50 (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A)))) <=> ![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(446,plain,
% 0.22/0.50 (^[B: $i, A: $i] : trans(monotonicity(rewrite((((~environment(A)) | (~greater(B, start_time(A)))) | greater(B, end_time(A))) <=> ((~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))), (((((~environment(A)) | (~greater(B, start_time(A)))) | greater(B, end_time(A))) | greater_or_equal(end_time(A), B)) <=> (((~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A)))) | greater_or_equal(end_time(A), B)))), rewrite((((~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A)))) | greater_or_equal(end_time(A), B)) <=> (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))), (((((~environment(A)) | (~greater(B, start_time(A)))) | greater(B, end_time(A))) | greater_or_equal(end_time(A), B)) <=> (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))))),
% 0.22/0.50 inference(bind,[status(th)],[])).
% 0.22/0.50 tff(447,plain,
% 0.22/0.50 (![B: $i, A: $i] : ((((~environment(A)) | (~greater(B, start_time(A)))) | greater(B, end_time(A))) | greater_or_equal(end_time(A), B)) <=> ![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))),
% 0.22/0.50 inference(quant_intro,[status(thm)],[446])).
% 0.22/0.50 tff(448,axiom,(![B: $i, A: $i] : ((((~environment(A)) | (~greater(B, start_time(A)))) | greater(B, end_time(A))) | greater_or_equal(end_time(A), B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_beginning_and_ending_51')).
% 0.22/0.50 tff(449,plain,
% 0.22/0.50 (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[448, 447])).
% 0.22/0.50 tff(450,plain,
% 0.22/0.50 (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[449, 445])).
% 0.22/0.50 tff(451,plain,(
% 0.22/0.50 ![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))),
% 0.22/0.50 inference(skolemize,[status(sab)],[450])).
% 0.22/0.50 tff(452,plain,
% 0.22/0.50 (![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[451, 444])).
% 0.22/0.50 tff(453,plain,
% 0.22/0.50 (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))) | ((~environment(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))) | (~environment(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(454,plain,
% 0.22/0.50 ((greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~environment(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3))))) <=> ((~environment(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(455,plain,
% 0.22/0.50 (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))) | (greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~environment(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))) | ((~environment(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[454])).
% 0.22/0.50 tff(456,plain,
% 0.22/0.50 (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))) | (greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~environment(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))) | (~environment(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))),
% 0.22/0.50 inference(transitivity,[status(thm)],[455, 453])).
% 0.22/0.50 tff(457,plain,
% 0.22/0.50 ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))) | (greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~environment(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(458,plain,
% 0.22/0.50 ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~environment(A)) | greater(B, end_time(A)) | (~greater(B, start_time(A))))) | (~environment(sk1(sk3))) | greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[457, 456])).
% 0.22/0.50 tff(459,plain,
% 0.22/0.50 (greater(end_time(sk1(sk3)), end_time(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[458, 452, 30, 441])).
% 0.22/0.50 tff(460,plain,
% 0.22/0.50 (greater(end_time(sk1(sk3)), end_time(sk1(sk3)))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[459, 442])).
% 0.22/0.50 tff(461,plain,
% 0.22/0.50 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), end_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), end_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(462,plain,
% 0.22/0.50 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), end_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(463,plain,
% 0.22/0.50 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), end_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[462, 461])).
% 0.22/0.50 tff(464,plain,
% 0.22/0.50 ($false),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[463, 180, 460, 442])).
% 0.22/0.50 tff(465,plain,(greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3))))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.50 tff(466,plain,
% 0.22/0.50 (greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[465, 441])).
% 0.22/0.50 tff(467,assumption,(~in_environment(sk1(sk3), end_time(sk1(sk3)))), introduced(assumption)).
% 0.22/0.50 tff(468,plain,
% 0.22/0.50 (^[B: $i, A: $i] : refl((in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A))) <=> (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A))))),
% 0.22/0.50 inference(bind,[status(th)],[])).
% 0.22/0.50 tff(469,plain,
% 0.22/0.50 (![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A))) <=> ![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.50 inference(quant_intro,[status(thm)],[468])).
% 0.22/0.50 tff(470,plain,
% 0.22/0.50 (![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A))) <=> ![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(471,plain,
% 0.22/0.50 (^[B: $i, A: $i] : trans(monotonicity(rewrite((((~environment(A)) | (~greater_or_equal(B, start_time(A)))) | (~greater_or_equal(end_time(A), B))) <=> ((~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))), (((((~environment(A)) | (~greater_or_equal(B, start_time(A)))) | (~greater_or_equal(end_time(A), B))) | in_environment(A, B)) <=> (((~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A))) | in_environment(A, B)))), rewrite((((~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A))) | in_environment(A, B)) <=> (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))), (((((~environment(A)) | (~greater_or_equal(B, start_time(A)))) | (~greater_or_equal(end_time(A), B))) | in_environment(A, B)) <=> (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))))),
% 0.22/0.51 inference(bind,[status(th)],[])).
% 0.22/0.51 tff(472,plain,
% 0.22/0.51 (![B: $i, A: $i] : ((((~environment(A)) | (~greater_or_equal(B, start_time(A)))) | (~greater_or_equal(end_time(A), B))) | in_environment(A, B)) <=> ![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.51 inference(quant_intro,[status(thm)],[471])).
% 0.22/0.51 tff(473,axiom,(![B: $i, A: $i] : ((((~environment(A)) | (~greater_or_equal(B, start_time(A)))) | (~greater_or_equal(end_time(A), B))) | in_environment(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_time_in_environment_42')).
% 0.22/0.51 tff(474,plain,
% 0.22/0.51 (![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[473, 472])).
% 0.22/0.51 tff(475,plain,
% 0.22/0.51 (![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[474, 470])).
% 0.22/0.51 tff(476,plain,(
% 0.22/0.51 ![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.51 inference(skolemize,[status(sab)],[475])).
% 0.22/0.51 tff(477,plain,
% 0.22/0.51 (![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[476, 469])).
% 0.22/0.51 tff(478,plain,
% 0.22/0.51 (((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | ((~environment(sk1(sk3))) | in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (~environment(sk1(sk3))) | in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(479,plain,
% 0.22/0.51 ((in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~environment(sk1(sk3)))) <=> ((~environment(sk1(sk3))) | in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(480,plain,
% 0.22/0.51 (((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | ((~environment(sk1(sk3))) | in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[479])).
% 0.22/0.51 tff(481,plain,
% 0.22/0.51 (((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (~environment(sk1(sk3))) | in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))))),
% 0.22/0.51 inference(transitivity,[status(thm)],[480, 478])).
% 0.22/0.51 tff(482,plain,
% 0.22/0.51 ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))),
% 0.22/0.51 inference(quant_inst,[status(thm)],[])).
% 0.22/0.51 tff(483,plain,
% 0.22/0.51 ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (~environment(sk1(sk3))) | in_environment(sk1(sk3), end_time(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[482, 481])).
% 0.22/0.51 tff(484,plain,
% 0.22/0.51 ((~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[483, 477, 30, 467])).
% 0.22/0.51 tff(485,plain,
% 0.22/0.51 (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[484, 466])).
% 0.22/0.51 tff(486,plain,
% 0.22/0.51 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(487,plain,
% 0.22/0.51 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.51 inference(quant_inst,[status(thm)],[])).
% 0.22/0.51 tff(488,plain,
% 0.22/0.51 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[487, 486])).
% 0.22/0.51 tff(489,plain,
% 0.22/0.51 ($false),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[488, 180, 441, 485])).
% 0.22/0.51 tff(490,plain,((~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))) | in_environment(sk1(sk3), end_time(sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.51 tff(491,plain,
% 0.22/0.51 (~greater(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[490, 440])).
% 0.22/0.51 tff(492,assumption,(greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))), introduced(assumption)).
% 0.22/0.51 tff(493,plain,
% 0.22/0.51 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | greater(end_time(sk1(sk3)), start_time(sk1(sk3))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | greater(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(494,plain,
% 0.22/0.51 ((greater(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3))))) <=> ((~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | greater(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(495,plain,
% 0.22/0.51 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | ((~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | greater(end_time(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[494])).
% 0.22/0.51 tff(496,plain,
% 0.22/0.51 (((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | greater(end_time(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.51 inference(transitivity,[status(thm)],[495, 493])).
% 0.22/0.51 tff(497,plain,
% 0.22/0.51 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (greater(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))))),
% 0.22/0.51 inference(quant_inst,[status(thm)],[])).
% 0.22/0.51 tff(498,plain,
% 0.22/0.51 ((~![B: $i, A: $i, C: $i] : (greater(A, C) | (~greater(B, C)) | (~greater(A, B)))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | greater(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[497, 496])).
% 0.22/0.51 tff(499,plain,
% 0.22/0.51 ($false),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[498, 129, 492, 403, 491])).
% 0.22/0.51 tff(500,plain,(~greater(critical_point(sk1(sk3)), start_time(sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.51 tff(501,plain,
% 0.22/0.51 (^[A: $i] : refl(((~environment(A)) | greater_or_equal(critical_point(A), start_time(A))) <=> ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A))))),
% 0.22/0.51 inference(bind,[status(th)],[])).
% 0.22/0.51 tff(502,plain,
% 0.22/0.51 (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A))) <=> ![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))),
% 0.22/0.51 inference(quant_intro,[status(thm)],[501])).
% 0.22/0.51 tff(503,plain,
% 0.22/0.51 (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A))) <=> ![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(504,axiom,(![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_time_of_critical_point_49')).
% 0.22/0.51 tff(505,plain,
% 0.22/0.51 (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[504, 503])).
% 0.22/0.51 tff(506,plain,(
% 0.22/0.51 ![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))),
% 0.22/0.51 inference(skolemize,[status(sab)],[505])).
% 0.22/0.51 tff(507,plain,
% 0.22/0.51 (![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[506, 502])).
% 0.22/0.51 tff(508,plain,
% 0.22/0.51 (((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))) | ((~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3))))) <=> ((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))) | (~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(509,plain,
% 0.22/0.51 ((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))) | ((~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.51 inference(quant_inst,[status(thm)],[])).
% 0.22/0.51 tff(510,plain,
% 0.22/0.51 ((~![A: $i] : ((~environment(A)) | greater_or_equal(critical_point(A), start_time(A)))) | (~environment(sk1(sk3))) | greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[509, 508])).
% 0.22/0.51 tff(511,plain,
% 0.22/0.51 (greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[510, 507, 30])).
% 0.22/0.51 tff(512,plain,
% 0.22/0.51 (((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(critical_point(sk1(sk3)), start_time(sk1(sk3))) | (critical_point(sk1(sk3)) = start_time(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | greater(critical_point(sk1(sk3)), start_time(sk1(sk3))) | (critical_point(sk1(sk3)) = start_time(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(513,plain,
% 0.22/0.51 ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | (greater(critical_point(sk1(sk3)), start_time(sk1(sk3))) | (critical_point(sk1(sk3)) = start_time(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))))),
% 0.22/0.51 inference(quant_inst,[status(thm)],[])).
% 0.22/0.51 tff(514,plain,
% 0.22/0.51 ((~![B: $i, A: $i] : (greater(A, B) | (A = B) | (~greater_or_equal(A, B)))) | greater(critical_point(sk1(sk3)), start_time(sk1(sk3))) | (critical_point(sk1(sk3)) = start_time(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3))))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[513, 512])).
% 0.22/0.51 tff(515,plain,
% 0.22/0.51 (greater(critical_point(sk1(sk3)), start_time(sk1(sk3))) | (critical_point(sk1(sk3)) = start_time(sk1(sk3)))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[514, 159, 511])).
% 0.22/0.51 tff(516,plain,
% 0.22/0.51 (critical_point(sk1(sk3)) = start_time(sk1(sk3))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[515, 500])).
% 0.22/0.51 tff(517,plain,
% 0.22/0.51 (in_environment(sk1(sk3), critical_point(sk1(sk3))) <=> in_environment(sk1(sk3), start_time(sk1(sk3)))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[516])).
% 0.22/0.51 tff(518,plain,
% 0.22/0.51 (in_environment(sk1(sk3), start_time(sk1(sk3))) <=> in_environment(sk1(sk3), critical_point(sk1(sk3)))),
% 0.22/0.51 inference(symmetry,[status(thm)],[517])).
% 0.22/0.51 tff(519,plain,
% 0.22/0.51 ((~in_environment(sk1(sk3), start_time(sk1(sk3)))) <=> (~in_environment(sk1(sk3), critical_point(sk1(sk3))))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[518])).
% 0.22/0.51 tff(520,plain,
% 0.22/0.51 (^[B: $i] : refl(greater_or_equal(B, B) <=> greater_or_equal(B, B))),
% 0.22/0.51 inference(bind,[status(th)],[])).
% 0.22/0.51 tff(521,plain,
% 0.22/0.51 (![B: $i] : greater_or_equal(B, B) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.22/0.51 inference(quant_intro,[status(thm)],[520])).
% 0.22/0.51 tff(522,plain,
% 0.22/0.51 (![B: $i] : greater_or_equal(B, B) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(523,plain,
% 0.22/0.51 (![B: $i, A: $i] : greater_or_equal(B, B) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.22/0.51 inference(elim_unused_vars,[status(thm)],[])).
% 0.22/0.51 tff(524,plain,
% 0.22/0.51 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i, A: $i] : greater_or_equal(B, B)),
% 0.22/0.51 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.22/0.51 tff(525,plain,
% 0.22/0.51 (![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B)) <=> ![B: $i] : greater_or_equal(B, B)),
% 0.22/0.51 inference(transitivity,[status(thm)],[524, 523])).
% 0.22/0.51 tff(526,axiom,(![B: $i, A: $i] : ((~(A = B)) | greater_or_equal(A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_greater_or_equal_54')).
% 0.22/0.51 tff(527,plain,
% 0.22/0.51 (![B: $i] : greater_or_equal(B, B)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[526, 525])).
% 0.22/0.51 tff(528,plain,
% 0.22/0.51 (![B: $i] : greater_or_equal(B, B)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[527, 522])).
% 0.22/0.51 tff(529,plain,(
% 0.22/0.51 ![B: $i] : greater_or_equal(B, B)),
% 0.22/0.51 inference(skolemize,[status(sab)],[528])).
% 0.22/0.51 tff(530,plain,
% 0.22/0.51 (![B: $i] : greater_or_equal(B, B)),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[529, 521])).
% 0.22/0.51 tff(531,plain,
% 0.22/0.51 ((~![B: $i] : greater_or_equal(B, B)) | greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))),
% 0.22/0.51 inference(quant_inst,[status(thm)],[])).
% 0.22/0.51 tff(532,plain,
% 0.22/0.51 ($false),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[531, 530, 442])).
% 0.22/0.51 tff(533,plain,(greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.51 tff(534,plain,
% 0.22/0.51 ((~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), end_time(sk1(sk3))))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[483, 477, 30, 440])).
% 0.22/0.51 tff(535,plain,
% 0.22/0.51 (~greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3)))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[534, 533])).
% 0.22/0.51 tff(536,plain,
% 0.22/0.51 (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | ((~environment(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3)))))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(537,plain,
% 0.22/0.51 ((greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3)))) | (~environment(sk1(sk3)))) <=> ((~environment(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3)))))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(538,plain,
% 0.22/0.51 (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | ((~environment(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3))))))),
% 0.22/0.51 inference(monotonicity,[status(thm)],[537])).
% 0.22/0.51 tff(539,plain,
% 0.22/0.51 (((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3)))))),
% 0.22/0.51 inference(transitivity,[status(thm)],[538, 536])).
% 0.22/0.51 tff(540,plain,
% 0.22/0.51 ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))),
% 0.22/0.51 inference(quant_inst,[status(thm)],[])).
% 0.22/0.51 tff(541,plain,
% 0.22/0.51 ((~![B: $i, A: $i] : (greater_or_equal(end_time(A), B) | (~in_environment(A, B)) | (~environment(A)))) | (~environment(sk1(sk3))) | greater_or_equal(end_time(sk1(sk3)), start_time(sk1(sk3))) | (~in_environment(sk1(sk3), start_time(sk1(sk3))))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[540, 539])).
% 0.22/0.51 tff(542,plain,
% 0.22/0.51 (~in_environment(sk1(sk3), start_time(sk1(sk3)))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[541, 360, 30, 535])).
% 0.22/0.51 tff(543,plain,
% 0.22/0.51 (~in_environment(sk1(sk3), critical_point(sk1(sk3)))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[542, 519])).
% 0.22/0.51 tff(544,assumption,(~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))), introduced(assumption)).
% 0.22/0.51 tff(545,plain,
% 0.22/0.51 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(546,plain,
% 0.22/0.52 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))))),
% 0.22/0.52 inference(quant_inst,[status(thm)],[])).
% 0.22/0.52 tff(547,plain,
% 0.22/0.52 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[546, 545])).
% 0.22/0.52 tff(548,plain,
% 0.22/0.52 (~greater(end_time(sk1(sk3)), critical_point(sk1(sk3)))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[547, 180, 544])).
% 0.22/0.52 tff(549,plain,
% 0.22/0.52 (~greater(end_time(sk1(sk3)), sk2(sk1(sk3), sk3))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[402, 548])).
% 0.22/0.52 tff(550,plain,
% 0.22/0.52 (end_time(sk1(sk3)) = sk2(sk1(sk3), sk3)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[371, 549])).
% 0.22/0.52 tff(551,plain,
% 0.22/0.52 (greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))) <=> greater_or_equal(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[550])).
% 0.22/0.52 tff(552,plain,
% 0.22/0.52 (greater_or_equal(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))) <=> greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))),
% 0.22/0.52 inference(symmetry,[status(thm)],[551])).
% 0.22/0.52 tff(553,plain,
% 0.22/0.52 (((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater_or_equal(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))) <=> ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater_or_equal(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(554,plain,
% 0.22/0.52 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | ((~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater_or_equal(sk2(sk1(sk3), sk3), critical_point(sk1(sk3))))),
% 0.22/0.52 inference(quant_inst,[status(thm)],[])).
% 0.22/0.52 tff(555,plain,
% 0.22/0.52 ((~![B: $i, A: $i] : ((~greater(A, B)) | greater_or_equal(A, B))) | (~greater(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))) | greater_or_equal(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[554, 553])).
% 0.22/0.52 tff(556,plain,
% 0.22/0.52 (greater_or_equal(sk2(sk1(sk3), sk3), critical_point(sk1(sk3)))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[555, 180, 120])).
% 0.22/0.52 tff(557,plain,
% 0.22/0.52 (greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[556, 552])).
% 0.22/0.52 tff(558,plain,
% 0.22/0.52 ($false),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[544, 557])).
% 0.22/0.52 tff(559,plain,(greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.52 tff(560,plain,
% 0.22/0.52 (((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | ((~environment(sk1(sk3))) | in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (~environment(sk1(sk3))) | in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(561,plain,
% 0.22/0.52 ((in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~environment(sk1(sk3)))) <=> ((~environment(sk1(sk3))) | in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(562,plain,
% 0.22/0.52 (((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | ((~environment(sk1(sk3))) | in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))))))),
% 0.22/0.52 inference(monotonicity,[status(thm)],[561])).
% 0.22/0.52 tff(563,plain,
% 0.22/0.52 (((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))) <=> ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (~environment(sk1(sk3))) | in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))))),
% 0.22/0.52 inference(transitivity,[status(thm)],[562, 560])).
% 0.22/0.52 tff(564,plain,
% 0.22/0.52 ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3)))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~environment(sk1(sk3))))),
% 0.22/0.52 inference(quant_inst,[status(thm)],[])).
% 0.22/0.52 tff(565,plain,
% 0.22/0.52 ((~![B: $i, A: $i] : (in_environment(A, B) | (~greater_or_equal(end_time(A), B)) | (~greater_or_equal(B, start_time(A))) | (~environment(A)))) | (~environment(sk1(sk3))) | in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(critical_point(sk1(sk3)), start_time(sk1(sk3)))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[564, 563])).
% 0.22/0.52 tff(566,plain,
% 0.22/0.52 (in_environment(sk1(sk3), critical_point(sk1(sk3))) | (~greater_or_equal(end_time(sk1(sk3)), critical_point(sk1(sk3))))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[565, 477, 30, 511])).
% 0.22/0.52 tff(567,plain,
% 0.22/0.52 (in_environment(sk1(sk3), critical_point(sk1(sk3)))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[566, 559])).
% 0.22/0.52 tff(568,plain,
% 0.22/0.52 ($false),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[567, 543])).
% 0.22/0.52 % SZS output end Proof
% 0.22/0.52 % E exiting
%------------------------------------------------------------------------------