%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT035+2 : TPTP v9.3.0. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:02 AM UTC 2026
% Result : Theorem 0.13s 0.46s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT035+2 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 7 12:37:17 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.46 % SZS status Theorem
% 0.13/0.46 % SZS output start Proof
% 0.13/0.46 tff(greater_type, type, (
% 0.13/0.46 greater: ( $i * $i ) > $o)).
% 0.13/0.46 tff(tptp_fun_T_3_type, type, (
% 0.13/0.46 tptp_fun_T_3: $i > $i)).
% 0.13/0.46 tff(tptp_fun_T_0_type, type, (
% 0.13/0.46 tptp_fun_T_0: $i > $i)).
% 0.13/0.46 tff(tptp_fun_E_2_type, type, (
% 0.13/0.46 tptp_fun_E_2: $i)).
% 0.13/0.46 tff(tptp_fun_To_1_type, type, (
% 0.13/0.46 tptp_fun_To_1: $i > $i)).
% 0.13/0.46 tff(equilibrium_type, type, (
% 0.13/0.46 equilibrium: $i > $i)).
% 0.13/0.46 tff(constant_type, type, (
% 0.13/0.46 constant: $i > $o)).
% 0.13/0.46 tff(resources_type, type, (
% 0.13/0.46 resources: ( $i * $i ) > $i)).
% 0.13/0.46 tff(number_of_organizations_type, type, (
% 0.13/0.46 number_of_organizations: ( $i * $i ) > $i)).
% 0.13/0.46 tff(sum_type, type, (
% 0.13/0.46 sum: ( $i * $i ) > $i)).
% 0.13/0.46 tff(cardinality_at_time_type, type, (
% 0.13/0.46 cardinality_at_time: ( $i * $i ) > $i)).
% 0.13/0.46 tff(efficient_producers_type, type, (
% 0.13/0.46 efficient_producers: $i)).
% 0.13/0.46 tff(first_movers_type, type, (
% 0.13/0.46 first_movers: $i)).
% 0.13/0.46 tff(subpopulation_type, type, (
% 0.13/0.46 subpopulation: ( $i * $i * $i ) > $o)).
% 0.13/0.46 tff(in_environment_type, type, (
% 0.13/0.46 in_environment: ( $i * $i ) > $o)).
% 0.13/0.46 tff(subpopulations_type, type, (
% 0.13/0.46 subpopulations: ( $i * $i * $i * $i ) > $o)).
% 0.13/0.46 tff(greater_or_equal_type, type, (
% 0.13/0.46 greater_or_equal: ( $i * $i ) > $o)).
% 0.13/0.46 tff(outcompetes_type, type, (
% 0.13/0.46 outcompetes: ( $i * $i * $i ) > $o)).
% 0.13/0.46 tff(growth_rate_type, type, (
% 0.13/0.46 growth_rate: ( $i * $i ) > $i)).
% 0.13/0.46 tff(stable_type, type, (
% 0.13/0.46 stable: $i > $o)).
% 0.13/0.46 tff(environment_type, type, (
% 0.13/0.46 environment: $i > $o)).
% 0.13/0.46 tff(zero_type, type, (
% 0.13/0.46 zero: $i)).
% 0.13/0.46 tff(decreases_type, type, (
% 0.13/0.46 decreases: $i > $o)).
% 0.13/0.46 tff(increases_type, type, (
% 0.13/0.46 increases: $i > $o)).
% 0.13/0.46 tff(1,plain,
% 0.13/0.46 (((environment(E!2) & stable(E!2)) & ![To: $i] : ((~in_environment(E!2, To)) | (~((~(subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To)) & greater_or_equal(tptp_fun_T_3(To), To))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)))))) <=> (environment(E!2) & stable(E!2) & ![To: $i] : ((~in_environment(E!2, To)) | (~((~(subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To)) & greater_or_equal(tptp_fun_T_3(To), To))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To))))))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(2,plain,
% 0.13/0.46 ((~![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | outcompetes(efficient_producers, first_movers, T))))) <=> (~![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | outcompetes(efficient_producers, first_movers, T)))))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(3,plain,
% 0.13/0.46 ((~![E: $i] : ((environment(E) & stable(E)) => ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To)) => outcompetes(efficient_producers, first_movers, T))))) <=> (~![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | outcompetes(efficient_producers, first_movers, T)))))),
% 0.13/0.46 inference(rewrite,[status(thm)],[])).
% 0.13/0.46 tff(4,axiom,(~![E: $i] : ((environment(E) & stable(E)) => ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To)) => outcompetes(efficient_producers, first_movers, T))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_t4')).
% 0.13/0.46 tff(5,plain,
% 0.13/0.46 (~![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | outcompetes(efficient_producers, first_movers, T))))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.13/0.46 tff(6,plain,
% 0.13/0.46 (~![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | outcompetes(efficient_producers, first_movers, T))))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[5, 2])).
% 0.13/0.46 tff(7,plain,
% 0.13/0.46 (~![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | outcompetes(efficient_producers, first_movers, T))))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.13/0.46 tff(8,plain,
% 0.13/0.46 (~![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | outcompetes(efficient_producers, first_movers, T))))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[7, 2])).
% 0.13/0.46 tff(9,plain,
% 0.13/0.46 (environment(E!2) & stable(E!2) & ![To: $i] : ((~in_environment(E!2, To)) | (~((~(subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To)) & greater_or_equal(tptp_fun_T_3(To), To))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)))))),
% 0.13/0.46 inference(modus_ponens,[status(thm)],[8, 1])).
% 0.13/0.46 tff(10,plain,
% 0.13/0.46 (stable(E!2)),
% 0.13/0.46 inference(and_elim,[status(thm)],[9])).
% 0.13/0.46 tff(11,plain,
% 0.13/0.46 (environment(E!2)),
% 0.13/0.46 inference(and_elim,[status(thm)],[9])).
% 0.13/0.46 tff(12,plain,
% 0.13/0.46 (^[E: $i] : refl(((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))))),
% 0.13/0.46 inference(bind,[status(th)],[])).
% 0.13/0.46 tff(13,plain,
% 0.13/0.46 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))) <=> ![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))),
% 0.13/0.46 inference(quant_intro,[status(thm)],[12])).
% 0.13/0.46 tff(14,plain,
% 0.13/0.46 (^[E: $i] : rewrite(((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))))),
% 0.13/0.46 inference(bind,[status(th)],[])).
% 0.13/0.46 tff(15,plain,
% 0.13/0.46 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))) <=> ![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))),
% 0.13/0.46 inference(quant_intro,[status(thm)],[14])).
% 0.13/0.46 tff(16,plain,
% 0.13/0.46 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))) <=> ![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))),
% 0.22/0.46 inference(transitivity,[status(thm)],[15, 13])).
% 0.22/0.46 tff(17,plain,
% 0.22/0.46 (^[E: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & stable(E)) <=> (~((~environment(E)) | (~stable(E))))), ((~(environment(E) & stable(E))) <=> (~(~((~environment(E)) | (~stable(E))))))), rewrite((~(~((~environment(E)) | (~stable(E))))) <=> ((~environment(E)) | (~stable(E)))), ((~(environment(E) & stable(E))) <=> ((~environment(E)) | (~stable(E))))), trans(monotonicity(quant_intro(proof_bind(^[T: $i] : trans(monotonicity(trans(monotonicity(rewrite((subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E))) <=> (~((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))), ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) <=> (~(~((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))), rewrite((~(~((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))) <=> ((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))), ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) <=> ((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))), (((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))) <=> (((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))), rewrite((((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))) <=> (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))), (((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))) <=> (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))), (![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))) <=> ![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))), ((in_environment(E, tptp_fun_To_1(E)) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))) <=> (in_environment(E, tptp_fun_To_1(E)) & ![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))), rewrite((in_environment(E, tptp_fun_To_1(E)) & ![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))) <=> (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))), ((in_environment(E, tptp_fun_To_1(E)) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))) <=> (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))), (((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_To_1(E)) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> (((~environment(E)) | (~stable(E))) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))))), rewrite((((~environment(E)) | (~stable(E))) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E)))))))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))), (((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_To_1(E)) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))))),
% 0.22/0.46 inference(bind,[status(th)],[])).
% 0.22/0.46 tff(18,plain,
% 0.22/0.46 (![E: $i] : ((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_To_1(E)) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> ![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))),
% 0.22/0.46 inference(quant_intro,[status(thm)],[17])).
% 0.22/0.46 tff(19,plain,
% 0.22/0.46 (![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> ![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))),
% 0.22/0.46 inference(rewrite,[status(thm)],[])).
% 0.22/0.46 tff(20,plain,
% 0.22/0.46 (^[E: $i] : trans(monotonicity(quant_intro(proof_bind(^[To: $i] : rewrite((in_environment(E, To) & ![T: $i] : ((subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To)) => greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))) <=> (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))), (?[To: $i] : (in_environment(E, To) & ![T: $i] : ((subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To)) => greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))) <=> ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))), (((environment(E) & stable(E)) => ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To)) => greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> ((environment(E) & stable(E)) => ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))))), rewrite(((environment(E) & stable(E)) => ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))), (((environment(E) & stable(E)) => ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To)) => greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))))),
% 0.22/0.46 inference(bind,[status(th)],[])).
% 0.22/0.46 tff(21,plain,
% 0.22/0.46 (![E: $i] : ((environment(E) & stable(E)) => ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To)) => greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> ![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))),
% 0.22/0.46 inference(quant_intro,[status(thm)],[20])).
% 0.22/0.46 tff(22,axiom,(![E: $i] : ((environment(E) & stable(E)) => ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To)) => greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','l1')).
% 0.22/0.46 tff(23,plain,
% 0.22/0.46 (![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.22/0.46 tff(24,plain,
% 0.22/0.46 (![E: $i] : ((~(environment(E) & stable(E))) | ?[To: $i] : (in_environment(E, To) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, To))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))),
% 0.22/0.46 inference(modus_ponens,[status(thm)],[23, 19])).
% 0.22/0.46 tff(25,plain,(
% 0.22/0.46 ![E: $i] : ((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_To_1(E)) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_1(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))),
% 0.22/0.46 inference(skolemize,[status(sab)],[24])).
% 0.22/0.46 tff(26,plain,
% 0.22/0.46 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[25, 18])).
% 0.22/0.47 tff(27,plain,
% 0.22/0.47 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[26, 16])).
% 0.22/0.47 tff(28,plain,
% 0.22/0.47 (((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))) | ((~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))))))) <=> ((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))) | (~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(29,plain,
% 0.22/0.47 ((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))) | ((~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))))))),
% 0.22/0.47 inference(quant_inst,[status(thm)],[])).
% 0.22/0.47 tff(30,plain,
% 0.22/0.47 ((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_1(E))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_1(E))))))))) | (~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2)))))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.22/0.47 tff(31,plain,
% 0.22/0.47 (~((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))))),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[30, 27, 11, 10])).
% 0.22/0.47 tff(32,plain,
% 0.22/0.47 (((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2)))))) | in_environment(E!2, tptp_fun_To_1(E!2))),
% 0.22/0.47 inference(tautology,[status(thm)],[])).
% 0.22/0.47 tff(33,plain,
% 0.22/0.47 (in_environment(E!2, tptp_fun_To_1(E!2))),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[32, 31])).
% 0.22/0.47 tff(34,plain,
% 0.22/0.47 (^[To: $i] : refl(((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To))))) <=> ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To))))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(35,plain,
% 0.22/0.47 (![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To))))) <=> ![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[34])).
% 0.22/0.47 tff(36,plain,
% 0.22/0.47 (^[To: $i] : rewrite(((~in_environment(E!2, To)) | (~((~(subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To)) & greater_or_equal(tptp_fun_T_3(To), To))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To))))) <=> ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To))))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(37,plain,
% 0.22/0.47 (![To: $i] : ((~in_environment(E!2, To)) | (~((~(subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To)) & greater_or_equal(tptp_fun_T_3(To), To))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To))))) <=> ![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[36])).
% 0.22/0.47 tff(38,plain,
% 0.22/0.47 (![To: $i] : ((~in_environment(E!2, To)) | (~((~(subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To)) & greater_or_equal(tptp_fun_T_3(To), To))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)))))),
% 0.22/0.47 inference(and_elim,[status(thm)],[9])).
% 0.22/0.47 tff(39,plain,
% 0.22/0.47 (![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.22/0.47 tff(40,plain,
% 0.22/0.47 (![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[39, 35])).
% 0.22/0.47 tff(41,plain,
% 0.22/0.47 (((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | ((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))))) <=> ((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | (~in_environment(E!2, tptp_fun_To_1(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(42,plain,
% 0.22/0.47 ((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | ((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))))),
% 0.22/0.47 inference(quant_inst,[status(thm)],[])).
% 0.22/0.47 tff(43,plain,
% 0.22/0.47 ((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | (~in_environment(E!2, tptp_fun_To_1(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)))))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.22/0.47 tff(44,plain,
% 0.22/0.47 (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[43, 40, 33])).
% 0.22/0.47 tff(45,plain,
% 0.22/0.47 ((outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)))) | subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.22/0.47 inference(tautology,[status(thm)],[])).
% 0.22/0.47 tff(46,plain,
% 0.22/0.47 (subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[45, 44])).
% 0.22/0.47 tff(47,plain,
% 0.22/0.47 (^[E: $i, T: $i] : refl((in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) <=> (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(48,plain,
% 0.22/0.47 (![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) <=> ![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[47])).
% 0.22/0.47 tff(49,plain,
% 0.22/0.47 (^[E: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) <=> (~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))), ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) <=> (~(~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))))), rewrite((~(~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))), ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))), (((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T)) <=> (((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T)))), rewrite((((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T)) <=> (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))), (((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T)) <=> (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(50,plain,
% 0.22/0.47 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T)) <=> ![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[49])).
% 0.22/0.47 tff(51,plain,
% 0.22/0.47 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T)) <=> ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(52,plain,
% 0.22/0.47 (^[E: $i, T: $i] : rewrite(((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => in_environment(E, T)) <=> ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T)))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(53,plain,
% 0.22/0.47 (![E: $i, T: $i] : ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => in_environment(E, T)) <=> ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[52])).
% 0.22/0.47 tff(54,axiom,(![E: $i, T: $i] : ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => in_environment(E, T))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_time_point_in_environment')).
% 0.22/0.47 tff(55,plain,
% 0.22/0.47 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.22/0.47 tff(56,plain,
% 0.22/0.47 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[55, 51])).
% 0.22/0.47 tff(57,plain,(
% 0.22/0.47 ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | in_environment(E, T))),
% 0.22/0.47 inference(skolemize,[status(sab)],[56])).
% 0.22/0.47 tff(58,plain,
% 0.22/0.47 (![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[57, 50])).
% 0.22/0.47 tff(59,plain,
% 0.22/0.47 (![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[58, 48])).
% 0.22/0.47 tff(60,plain,
% 0.22/0.47 (((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))) <=> ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(61,plain,
% 0.22/0.47 ((in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))) <=> ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.47 inference(rewrite,[status(thm)],[])).
% 0.22/0.47 tff(62,plain,
% 0.22/0.47 (((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.47 inference(monotonicity,[status(thm)],[61])).
% 0.22/0.47 tff(63,plain,
% 0.22/0.47 (((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.47 inference(transitivity,[status(thm)],[62, 60])).
% 0.22/0.47 tff(64,plain,
% 0.22/0.47 ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.47 inference(quant_inst,[status(thm)],[])).
% 0.22/0.47 tff(65,plain,
% 0.22/0.47 ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.22/0.47 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.22/0.47 tff(66,plain,
% 0.22/0.47 (in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.22/0.47 inference(unit_resolution,[status(thm)],[65, 59, 11, 46])).
% 0.22/0.47 tff(67,plain,
% 0.22/0.47 (^[E: $i, T: $i] : refl(((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T))))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(68,plain,
% 0.22/0.47 (![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T))))) <=> ![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))),
% 0.22/0.47 inference(quant_intro,[status(thm)],[67])).
% 0.22/0.47 tff(69,plain,
% 0.22/0.47 (^[E: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & in_environment(E, T)) <=> (~((~environment(E)) | (~in_environment(E, T))))), ((~(environment(E) & in_environment(E, T))) <=> (~(~((~environment(E)) | (~in_environment(E, T))))))), rewrite((~(~((~environment(E)) | (~in_environment(E, T))))) <=> ((~environment(E)) | (~in_environment(E, T)))), ((~(environment(E) & in_environment(E, T))) <=> ((~environment(E)) | (~in_environment(E, T))))), rewrite((subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T)) <=> (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T))))), (((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T))) <=> (((~environment(E)) | (~in_environment(E, T))) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T))))))), rewrite((((~environment(E)) | (~in_environment(E, T))) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))), (((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))))),
% 0.22/0.47 inference(bind,[status(th)],[])).
% 0.22/0.47 tff(70,plain,
% 0.22/0.47 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T))) <=> ![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[69])).
% 0.22/0.48 tff(71,plain,
% 0.22/0.48 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T))) <=> ![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T)))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(72,plain,
% 0.22/0.48 (^[E: $i, T: $i] : rewrite(((environment(E) & in_environment(E, T)) => (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T))) <=> ((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T))))),
% 0.22/0.48 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(73,plain,
% 0.22/0.48 (![E: $i, T: $i] : ((environment(E) & in_environment(E, T)) => (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T))) <=> ![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T)))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[72])).
% 0.22/0.48 tff(74,axiom,(![E: $i, T: $i] : ((environment(E) & in_environment(E, T)) => (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_FM_and_EP_organisational')).
% 0.22/0.48 tff(75,plain,
% 0.22/0.48 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.22/0.48 tff(76,plain,
% 0.22/0.48 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T)))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[75, 71])).
% 0.22/0.48 tff(77,plain,(
% 0.22/0.48 ![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (subpopulation(first_movers, E, T) & subpopulation(efficient_producers, E, T)))),
% 0.22/0.48 inference(skolemize,[status(sab)],[76])).
% 0.22/0.48 tff(78,plain,
% 0.22/0.48 (![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[77, 70])).
% 0.22/0.48 tff(79,plain,
% 0.22/0.48 (![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[78, 68])).
% 0.22/0.48 tff(80,plain,
% 0.22/0.48 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(81,plain,
% 0.22/0.48 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.22/0.48 inference(quant_inst,[status(thm)],[])).
% 0.22/0.48 tff(82,plain,
% 0.22/0.48 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[81, 80])).
% 0.22/0.48 tff(83,plain,
% 0.22/0.48 (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[82, 79, 11, 66])).
% 0.22/0.48 tff(84,plain,
% 0.22/0.48 (((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.22/0.48 inference(tautology,[status(thm)],[])).
% 0.22/0.48 tff(85,plain,
% 0.22/0.48 (subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.22/0.48 inference(unit_resolution,[status(thm)],[84, 83])).
% 0.22/0.48 tff(86,plain,
% 0.22/0.48 (^[E: $i, X: $i, T: $i] : refl(((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) <=> ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))))),
% 0.22/0.48 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(87,plain,
% 0.22/0.48 (![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) <=> ![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[86])).
% 0.22/0.48 tff(88,plain,
% 0.22/0.48 (^[E: $i, X: $i, T: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))) <=> ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))), ((environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))) <=> (environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))), rewrite((environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))) <=> (~((~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))))), ((environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))) <=> (~((~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))))), ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) <=> (~(~((~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))))))), rewrite((~(~((~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))))) <=> ((~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))), ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) <=> ((~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))))), (((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))) <=> (((~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))))), rewrite((((~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))) <=> ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))), (((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))) <=> ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))))),
% 0.22/0.48 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(89,plain,
% 0.22/0.48 (![E: $i, X: $i, T: $i] : ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))) <=> ![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[88])).
% 0.22/0.48 tff(90,plain,
% 0.22/0.48 (![E: $i, X: $i, T: $i] : ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))) <=> ![E: $i, X: $i, T: $i] : ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(91,plain,
% 0.22/0.48 (^[E: $i, X: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((greater(cardinality_at_time(X, T), zero) => ((X = efficient_producers) | (X = first_movers))) <=> ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))), (((environment(E) & subpopulation(X, E, T)) & (greater(cardinality_at_time(X, T), zero) => ((X = efficient_producers) | (X = first_movers)))) <=> ((environment(E) & subpopulation(X, E, T)) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))), rewrite(((environment(E) & subpopulation(X, E, T)) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))) <=> (environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))), (((environment(E) & subpopulation(X, E, T)) & (greater(cardinality_at_time(X, T), zero) => ((X = efficient_producers) | (X = first_movers)))) <=> (environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))), ((((environment(E) & subpopulation(X, E, T)) & (greater(cardinality_at_time(X, T), zero) => ((X = efficient_producers) | (X = first_movers)))) => (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))) <=> ((environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))) => (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))))), rewrite(((environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))) => (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))) <=> ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))))), ((((environment(E) & subpopulation(X, E, T)) & (greater(cardinality_at_time(X, T), zero) => ((X = efficient_producers) | (X = first_movers)))) => (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))) <=> ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))))))),
% 0.22/0.48 inference(bind,[status(th)],[])).
% 0.22/0.48 tff(92,plain,
% 0.22/0.48 (![E: $i, X: $i, T: $i] : (((environment(E) & subpopulation(X, E, T)) & (greater(cardinality_at_time(X, T), zero) => ((X = efficient_producers) | (X = first_movers)))) => (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T)))) <=> ![E: $i, X: $i, T: $i] : ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))))),
% 0.22/0.48 inference(quant_intro,[status(thm)],[91])).
% 0.22/0.48 tff(93,axiom,(![E: $i, X: $i, T: $i] : (((environment(E) & subpopulation(X, E, T)) & (greater(cardinality_at_time(X, T), zero) => ((X = efficient_producers) | (X = first_movers)))) => (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_only_members')).
% 0.22/0.48 tff(94,plain,
% 0.22/0.48 (![E: $i, X: $i, T: $i] : ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.22/0.48 tff(95,plain,
% 0.22/0.48 (![E: $i, X: $i, T: $i] : ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[94, 90])).
% 0.22/0.48 tff(96,plain,(
% 0.22/0.48 ![E: $i, X: $i, T: $i] : ((~(environment(E) & subpopulation(X, E, T) & ((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero))))) | (number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))))),
% 0.22/0.48 inference(skolemize,[status(sab)],[95])).
% 0.22/0.48 tff(97,plain,
% 0.22/0.48 (![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[96, 89])).
% 0.22/0.48 tff(98,plain,
% 0.22/0.48 (![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))),
% 0.22/0.48 inference(modus_ponens,[status(thm)],[97, 87])).
% 0.22/0.48 tff(99,plain,
% 0.22/0.48 (((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(100,plain,
% 0.22/0.48 (((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | $false) <=> ((~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(101,plain,
% 0.22/0.48 ((~$true) <=> $false),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(102,plain,
% 0.22/0.48 (((efficient_producers = first_movers) | $true | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) <=> $true),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(103,plain,
% 0.22/0.48 ((efficient_producers = efficient_producers) <=> $true),
% 0.22/0.48 inference(rewrite,[status(thm)],[])).
% 0.22/0.48 tff(104,plain,
% 0.22/0.48 (((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) <=> ((efficient_producers = first_movers) | $true | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))),
% 0.22/0.48 inference(monotonicity,[status(thm)],[103])).
% 0.22/0.48 tff(105,plain,
% 0.22/0.48 (((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) <=> $true),
% 0.22/0.48 inference(transitivity,[status(thm)],[104, 102])).
% 0.22/0.48 tff(106,plain,
% 0.22/0.48 ((~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))) <=> (~$true)),
% 0.22/0.48 inference(monotonicity,[status(thm)],[105])).
% 0.22/0.49 tff(107,plain,
% 0.22/0.49 ((~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))) <=> $false),
% 0.22/0.49 inference(transitivity,[status(thm)],[106, 101])).
% 0.22/0.49 tff(108,plain,
% 0.22/0.49 (((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))))) <=> ((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | $false)),
% 0.22/0.49 inference(monotonicity,[status(thm)],[107])).
% 0.22/0.49 tff(109,plain,
% 0.22/0.49 (((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))))) <=> ((~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.22/0.49 inference(transitivity,[status(thm)],[108, 100])).
% 0.22/0.49 tff(110,plain,
% 0.22/0.49 (((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))))) <=> ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[109])).
% 0.22/0.49 tff(111,plain,
% 0.22/0.49 (((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))))) <=> ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.22/0.49 inference(transitivity,[status(thm)],[110, 99])).
% 0.22/0.49 tff(112,plain,
% 0.22/0.49 ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))))),
% 0.22/0.49 inference(quant_inst,[status(thm)],[])).
% 0.22/0.49 tff(113,plain,
% 0.22/0.49 ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.22/0.49 tff(114,plain,
% 0.22/0.49 (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[113, 98, 11, 85])).
% 0.22/0.49 tff(115,plain,
% 0.22/0.49 (sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))) = number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.22/0.49 inference(symmetry,[status(thm)],[114])).
% 0.22/0.49 tff(116,plain,
% 0.22/0.49 (constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) <=> constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[115])).
% 0.22/0.49 tff(117,plain,
% 0.22/0.49 ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> (~constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[116])).
% 0.22/0.49 tff(118,assumption,(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero), introduced(assumption)).
% 0.22/0.49 tff(119,plain,
% 0.22/0.49 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))) <=> greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[118])).
% 0.22/0.49 tff(120,plain,
% 0.22/0.49 (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))) <=> greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.49 inference(symmetry,[status(thm)],[119])).
% 0.22/0.49 tff(121,plain,
% 0.22/0.49 ((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) <=> (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.49 inference(monotonicity,[status(thm)],[120])).
% 0.22/0.49 tff(122,plain,
% 0.22/0.49 (((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero))),
% 0.22/0.49 inference(tautology,[status(thm)],[])).
% 0.22/0.49 tff(123,plain,
% 0.22/0.49 ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[122, 118])).
% 0.22/0.49 tff(124,assumption,(~(greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))), introduced(assumption)).
% 0.22/0.49 tff(125,plain,
% 0.22/0.49 (^[X: $i, Y: $i] : refl((greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))) <=> (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(126,plain,
% 0.22/0.49 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))) <=> ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[125])).
% 0.22/0.49 tff(127,plain,
% 0.22/0.49 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))) <=> ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(128,plain,
% 0.22/0.49 (^[X: $i, Y: $i] : rewrite((greater_or_equal(X, Y) <=> (greater(X, Y) | (X = Y))) <=> (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(129,plain,
% 0.22/0.49 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> (greater(X, Y) | (X = Y))) <=> ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[128])).
% 0.22/0.49 tff(130,axiom,(![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> (greater(X, Y) | (X = Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_greater_or_equal')).
% 0.22/0.49 tff(131,plain,
% 0.22/0.49 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[130, 129])).
% 0.22/0.49 tff(132,plain,
% 0.22/0.49 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[131, 127])).
% 0.22/0.49 tff(133,plain,(
% 0.22/0.49 ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.22/0.49 inference(skolemize,[status(sab)],[132])).
% 0.22/0.49 tff(134,plain,
% 0.22/0.49 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[133, 126])).
% 0.22/0.49 tff(135,plain,
% 0.22/0.49 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))),
% 0.22/0.49 inference(quant_inst,[status(thm)],[])).
% 0.22/0.49 tff(136,plain,
% 0.22/0.49 ($false),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[135, 134, 124])).
% 0.22/0.49 tff(137,plain,(greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.49 tff(138,plain,
% 0.22/0.49 ((~(greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))) | greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero) | (~((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))),
% 0.22/0.49 inference(tautology,[status(thm)],[])).
% 0.22/0.49 tff(139,plain,
% 0.22/0.49 (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero) | (~((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[138, 137])).
% 0.22/0.49 tff(140,plain,
% 0.22/0.49 (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[139, 123])).
% 0.22/0.49 tff(141,plain,
% 0.22/0.49 (^[E: $i, S1: $i, S2: $i, T: $i] : refl(((~environment(E)) | (~subpopulations(S1, S2, E, T)) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T)))) <=> ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T)))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(142,plain,
% 0.22/0.49 (![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T)))) <=> ![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T))))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[141])).
% 0.22/0.49 tff(143,plain,
% 0.22/0.49 (^[E: $i, S1: $i, S2: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & subpopulations(S1, S2, E, T)) <=> (~((~environment(E)) | (~subpopulations(S1, S2, E, T))))), ((~(environment(E) & subpopulations(S1, S2, E, T))) <=> (~(~((~environment(E)) | (~subpopulations(S1, S2, E, T))))))), rewrite((~(~((~environment(E)) | (~subpopulations(S1, S2, E, T))))) <=> ((~environment(E)) | (~subpopulations(S1, S2, E, T)))), ((~(environment(E) & subpopulations(S1, S2, E, T))) <=> ((~environment(E)) | (~subpopulations(S1, S2, E, T))))), trans(trans(monotonicity(rewrite((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> (~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))))), (((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T)) <=> ((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T)))), rewrite(((~((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T))))) <=> outcompetes(S2, S1, T)) <=> (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T)))), (((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T)) <=> (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T))))), rewrite((~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T))) <=> (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T)))), (((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T)) <=> (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T))))), (((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T))) <=> (((~environment(E)) | (~subpopulations(S1, S2, E, T))) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T)))))), rewrite((((~environment(E)) | (~subpopulations(S1, S2, E, T))) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T)))) <=> ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T))))), (((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T))) <=> ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T))))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(144,plain,
% 0.22/0.49 (![E: $i, S1: $i, S2: $i, T: $i] : ((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T))) <=> ![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T))))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[143])).
% 0.22/0.49 tff(145,plain,
% 0.22/0.49 (![E: $i, S1: $i, S2: $i, T: $i] : ((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T))) <=> ![E: $i, S1: $i, S2: $i, T: $i] : ((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T)))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(146,plain,
% 0.22/0.49 (^[E: $i, S1: $i, S2: $i, T: $i] : rewrite(((environment(E) & subpopulations(S1, S2, E, T)) => ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T))) <=> ((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T))))),
% 0.22/0.49 inference(bind,[status(th)],[])).
% 0.22/0.49 tff(147,plain,
% 0.22/0.49 (![E: $i, S1: $i, S2: $i, T: $i] : ((environment(E) & subpopulations(S1, S2, E, T)) => ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T))) <=> ![E: $i, S1: $i, S2: $i, T: $i] : ((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T)))),
% 0.22/0.49 inference(quant_intro,[status(thm)],[146])).
% 0.22/0.49 tff(148,axiom,(![E: $i, S1: $i, S2: $i, T: $i] : ((environment(E) & subpopulations(S1, S2, E, T)) => ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','d2')).
% 0.22/0.49 tff(149,plain,
% 0.22/0.49 (![E: $i, S1: $i, S2: $i, T: $i] : ((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.22/0.49 tff(150,plain,
% 0.22/0.49 (![E: $i, S1: $i, S2: $i, T: $i] : ((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T)))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[149, 145])).
% 0.22/0.49 tff(151,plain,(
% 0.22/0.49 ![E: $i, S1: $i, S2: $i, T: $i] : ((~(environment(E) & subpopulations(S1, S2, E, T))) | ((greater_or_equal(growth_rate(S2, T), zero) & greater(zero, growth_rate(S1, T))) <=> outcompetes(S2, S1, T)))),
% 0.22/0.49 inference(skolemize,[status(sab)],[150])).
% 0.22/0.49 tff(152,plain,
% 0.22/0.49 (![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T))))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[151, 144])).
% 0.22/0.49 tff(153,plain,
% 0.22/0.49 (![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T))))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[152, 142])).
% 0.22/0.49 tff(154,plain,
% 0.22/0.49 (((~![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T))))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> ((~![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T))))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.22/0.49 inference(rewrite,[status(thm)],[])).
% 0.22/0.49 tff(155,plain,
% 0.22/0.49 ((~![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T))))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.22/0.49 inference(quant_inst,[status(thm)],[])).
% 0.22/0.49 tff(156,plain,
% 0.22/0.49 ((~![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T))))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.49 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.22/0.49 tff(157,plain,
% 0.22/0.49 (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[156, 153, 11, 46])).
% 0.22/0.49 tff(158,plain,
% 0.22/0.49 ((outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)))) | (~outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.49 inference(tautology,[status(thm)],[])).
% 0.22/0.49 tff(159,plain,
% 0.22/0.49 (~outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.22/0.49 inference(unit_resolution,[status(thm)],[158, 44])).
% 0.22/0.49 tff(160,plain,
% 0.22/0.50 ((((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.22/0.50 inference(tautology,[status(thm)],[])).
% 0.22/0.50 tff(161,plain,
% 0.22/0.50 ((((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[160, 159])).
% 0.22/0.50 tff(162,plain,
% 0.22/0.50 ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[161, 157])).
% 0.22/0.50 tff(163,plain,
% 0.22/0.50 ((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.50 inference(tautology,[status(thm)],[])).
% 0.22/0.50 tff(164,plain,
% 0.22/0.50 ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[163, 162])).
% 0.22/0.50 tff(165,plain,
% 0.22/0.50 (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[164, 140])).
% 0.22/0.50 tff(166,plain,
% 0.22/0.50 (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[165, 121])).
% 0.22/0.50 tff(167,plain,
% 0.22/0.50 ((outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)))) | greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))),
% 0.22/0.50 inference(tautology,[status(thm)],[])).
% 0.22/0.50 tff(168,plain,
% 0.22/0.50 (greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[167, 44])).
% 0.22/0.50 tff(169,plain,
% 0.22/0.50 (((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2)))))) | ![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))),
% 0.22/0.50 inference(tautology,[status(thm)],[])).
% 0.22/0.50 tff(170,plain,
% 0.22/0.50 (![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[169, 31])).
% 0.22/0.50 tff(171,plain,
% 0.22/0.50 (((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(172,plain,
% 0.22/0.50 ((greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)))) <=> ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(173,plain,
% 0.22/0.50 (((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))) <=> ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.22/0.50 inference(monotonicity,[status(thm)],[172])).
% 0.22/0.50 tff(174,plain,
% 0.22/0.50 (((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))) <=> ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.50 inference(transitivity,[status(thm)],[173, 171])).
% 0.22/0.50 tff(175,plain,
% 0.22/0.50 ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))),
% 0.22/0.50 inference(quant_inst,[status(thm)],[])).
% 0.22/0.50 tff(176,plain,
% 0.22/0.50 ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[175, 174])).
% 0.22/0.50 tff(177,plain,
% 0.22/0.50 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[176, 170, 46, 168])).
% 0.22/0.50 tff(178,plain,
% 0.22/0.50 ($false),
% 0.22/0.50 inference(unit_resolution,[status(thm)],[177, 166])).
% 0.22/0.50 tff(179,plain,(~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero)), inference(lemma,lemma(discharge,[]))).
% 0.22/0.50 tff(180,plain,
% 0.22/0.50 (^[E: $i, T: $i] : refl(((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero))))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero))))))),
% 0.22/0.50 inference(bind,[status(th)],[])).
% 0.22/0.50 tff(181,plain,
% 0.22/0.50 (![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero))))) <=> ![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))),
% 0.22/0.50 inference(quant_intro,[status(thm)],[180])).
% 0.22/0.50 tff(182,plain,
% 0.22/0.50 (^[E: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) <=> (~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))), ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) <=> (~(~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))))), rewrite((~(~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))), ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))), rewrite((greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero)) <=> (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero))))), (((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero))) <=> (((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero))))))), rewrite((((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero))))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))), (((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))))),
% 0.22/0.50 inference(bind,[status(th)],[])).
% 0.22/0.50 tff(183,plain,
% 0.22/0.50 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero))) <=> ![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))),
% 0.22/0.50 inference(quant_intro,[status(thm)],[182])).
% 0.22/0.50 tff(184,plain,
% 0.22/0.50 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero))) <=> ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero)))),
% 0.22/0.50 inference(rewrite,[status(thm)],[])).
% 0.22/0.50 tff(185,plain,
% 0.22/0.50 (^[E: $i, T: $i] : rewrite(((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero))) <=> ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero))))),
% 0.22/0.50 inference(bind,[status(th)],[])).
% 0.22/0.50 tff(186,plain,
% 0.22/0.50 (![E: $i, T: $i] : ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero))) <=> ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero)))),
% 0.22/0.50 inference(quant_intro,[status(thm)],[185])).
% 0.22/0.50 tff(187,axiom,(![E: $i, T: $i] : ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_positive_number_of_organizations')).
% 0.22/0.50 tff(188,plain,
% 0.22/0.50 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero)))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[187, 186])).
% 0.22/0.50 tff(189,plain,
% 0.22/0.50 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero)))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[188, 184])).
% 0.22/0.50 tff(190,plain,(
% 0.22/0.50 ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | (greater(cardinality_at_time(first_movers, T), zero) & greater(cardinality_at_time(efficient_producers, T), zero)))),
% 0.22/0.50 inference(skolemize,[status(sab)],[189])).
% 0.22/0.50 tff(191,plain,
% 0.22/0.50 (![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))),
% 0.22/0.50 inference(modus_ponens,[status(thm)],[190, 183])).
% 0.22/0.50 tff(192,plain,
% 0.22/0.50 (![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[191, 181])).
% 0.22/0.51 tff(193,plain,
% 0.22/0.51 (((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(194,plain,
% 0.22/0.51 ((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))))),
% 0.22/0.51 inference(quant_inst,[status(thm)],[])).
% 0.22/0.51 tff(195,plain,
% 0.22/0.51 ((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[194, 193])).
% 0.22/0.51 tff(196,plain,
% 0.22/0.51 (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[195, 192, 11, 46])).
% 0.22/0.51 tff(197,plain,
% 0.22/0.51 (((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)),
% 0.22/0.51 inference(tautology,[status(thm)],[])).
% 0.22/0.51 tff(198,plain,
% 0.22/0.51 (greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[197, 196])).
% 0.22/0.51 tff(199,plain,
% 0.22/0.51 (^[X: $i, E: $i, T: $i] : refl(((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))))))),
% 0.22/0.51 inference(bind,[status(th)],[])).
% 0.22/0.51 tff(200,plain,
% 0.22/0.51 (![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))))) <=> ![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))),
% 0.22/0.51 inference(quant_intro,[status(thm)],[199])).
% 0.22/0.51 tff(201,plain,
% 0.22/0.51 (^[X: $i, E: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero)) <=> (~((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero))))), ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) <=> (~(~((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero))))))), rewrite((~(~((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)))), ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero))))), rewrite((((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))) <=> (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))))), (((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))) <=> (((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero))) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))))))), rewrite((((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero))) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))), (((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))))),
% 0.22/0.51 inference(bind,[status(th)],[])).
% 0.22/0.51 tff(202,plain,
% 0.22/0.51 (![X: $i, E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))) <=> ![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))),
% 0.22/0.51 inference(quant_intro,[status(thm)],[201])).
% 0.22/0.51 tff(203,plain,
% 0.22/0.51 (![X: $i, E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))) <=> ![X: $i, E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(204,plain,
% 0.22/0.51 (^[X: $i, E: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite(((environment(E) & in_environment(E, T)) & subpopulation(X, E, T)) <=> (environment(E) & in_environment(E, T) & subpopulation(X, E, T))), ((((environment(E) & in_environment(E, T)) & subpopulation(X, E, T)) & greater(cardinality_at_time(X, T), zero)) <=> ((environment(E) & in_environment(E, T) & subpopulation(X, E, T)) & greater(cardinality_at_time(X, T), zero)))), rewrite(((environment(E) & in_environment(E, T) & subpopulation(X, E, T)) & greater(cardinality_at_time(X, T), zero)) <=> (environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))), ((((environment(E) & in_environment(E, T)) & subpopulation(X, E, T)) & greater(cardinality_at_time(X, T), zero)) <=> (environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero)))), trans(monotonicity(rewrite(((constant(cardinality_at_time(X, T)) => (growth_rate(X, T) = zero)) & (increases(cardinality_at_time(X, T)) => greater(growth_rate(X, T), zero))) <=> (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)))), rewrite((decreases(cardinality_at_time(X, T)) => greater(zero, growth_rate(X, T))) <=> ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))), ((((constant(cardinality_at_time(X, T)) => (growth_rate(X, T) = zero)) & (increases(cardinality_at_time(X, T)) => greater(growth_rate(X, T), zero))) & (decreases(cardinality_at_time(X, T)) => greater(zero, growth_rate(X, T)))) <=> ((((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))), rewrite(((((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))) <=> (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))), ((((constant(cardinality_at_time(X, T)) => (growth_rate(X, T) = zero)) & (increases(cardinality_at_time(X, T)) => greater(growth_rate(X, T), zero))) & (decreases(cardinality_at_time(X, T)) => greater(zero, growth_rate(X, T)))) <=> (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))), (((((environment(E) & in_environment(E, T)) & subpopulation(X, E, T)) & greater(cardinality_at_time(X, T), zero)) => (((constant(cardinality_at_time(X, T)) => (growth_rate(X, T) = zero)) & (increases(cardinality_at_time(X, T)) => greater(growth_rate(X, T), zero))) & (decreases(cardinality_at_time(X, T)) => greater(zero, growth_rate(X, T))))) <=> ((environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero)) => (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))))), rewrite(((environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero)) => (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T))))) <=> ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))), (((((environment(E) & in_environment(E, T)) & subpopulation(X, E, T)) & greater(cardinality_at_time(X, T), zero)) => (((constant(cardinality_at_time(X, T)) => (growth_rate(X, T) = zero)) & (increases(cardinality_at_time(X, T)) => greater(growth_rate(X, T), zero))) & (decreases(cardinality_at_time(X, T)) => greater(zero, growth_rate(X, T))))) <=> ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))),
% 0.22/0.51 inference(bind,[status(th)],[])).
% 0.22/0.51 tff(205,plain,
% 0.22/0.51 (![X: $i, E: $i, T: $i] : ((((environment(E) & in_environment(E, T)) & subpopulation(X, E, T)) & greater(cardinality_at_time(X, T), zero)) => (((constant(cardinality_at_time(X, T)) => (growth_rate(X, T) = zero)) & (increases(cardinality_at_time(X, T)) => greater(growth_rate(X, T), zero))) & (decreases(cardinality_at_time(X, T)) => greater(zero, growth_rate(X, T))))) <=> ![X: $i, E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))),
% 0.22/0.51 inference(quant_intro,[status(thm)],[204])).
% 0.22/0.51 tff(206,axiom,(![X: $i, E: $i, T: $i] : ((((environment(E) & in_environment(E, T)) & subpopulation(X, E, T)) & greater(cardinality_at_time(X, T), zero)) => (((constant(cardinality_at_time(X, T)) => (growth_rate(X, T) = zero)) & (increases(cardinality_at_time(X, T)) => greater(growth_rate(X, T), zero))) & (decreases(cardinality_at_time(X, T)) => greater(zero, growth_rate(X, T)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_growth_rate')).
% 0.22/0.51 tff(207,plain,
% 0.22/0.51 (![X: $i, E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[206, 205])).
% 0.22/0.51 tff(208,plain,
% 0.22/0.51 (![X: $i, E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[207, 203])).
% 0.22/0.51 tff(209,plain,(
% 0.22/0.51 ![X: $i, E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & subpopulation(X, E, T) & greater(cardinality_at_time(X, T), zero))) | (((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero)) & ((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero)) & ((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))),
% 0.22/0.51 inference(skolemize,[status(sab)],[208])).
% 0.22/0.51 tff(210,plain,
% 0.22/0.51 (![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[209, 202])).
% 0.22/0.51 tff(211,plain,
% 0.22/0.51 (![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[210, 200])).
% 0.22/0.51 tff(212,plain,
% 0.22/0.51 (((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))) <=> ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))),
% 0.22/0.51 inference(rewrite,[status(thm)],[])).
% 0.22/0.51 tff(213,plain,
% 0.22/0.51 ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))),
% 0.22/0.51 inference(quant_inst,[status(thm)],[])).
% 0.22/0.51 tff(214,plain,
% 0.22/0.51 ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.22/0.51 inference(modus_ponens,[status(thm)],[213, 212])).
% 0.22/0.51 tff(215,plain,
% 0.22/0.51 (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.22/0.51 inference(unit_resolution,[status(thm)],[214, 211, 11, 198, 66, 85])).
% 0.22/0.51 tff(216,plain,
% 0.22/0.51 (((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | ((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero))),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(217,plain,
% 0.22/0.52 ((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[216, 215])).
% 0.22/0.52 tff(218,plain,
% 0.22/0.52 ((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero)),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(219,plain,
% 0.22/0.52 ((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[218, 217])).
% 0.22/0.52 tff(220,plain,
% 0.22/0.52 (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[219, 179])).
% 0.22/0.52 tff(221,plain,
% 0.22/0.52 (((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(222,plain,
% 0.22/0.52 ((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[221, 220])).
% 0.22/0.52 tff(223,assumption,(~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))), introduced(assumption)).
% 0.22/0.52 tff(224,plain,
% 0.22/0.52 (((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(225,plain,
% 0.22/0.52 (increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[224, 223])).
% 0.22/0.52 tff(226,plain,
% 0.22/0.52 (((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(227,plain,
% 0.22/0.52 (subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[226, 83])).
% 0.22/0.52 tff(228,plain,
% 0.22/0.52 (((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(229,plain,
% 0.22/0.52 (greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[228, 196])).
% 0.22/0.52 tff(230,plain,
% 0.22/0.52 (((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))) <=> ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(231,plain,
% 0.22/0.52 ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))),
% 0.22/0.52 inference(quant_inst,[status(thm)],[])).
% 0.22/0.52 tff(232,plain,
% 0.22/0.52 ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[231, 230])).
% 0.22/0.52 tff(233,plain,
% 0.22/0.52 (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[232, 211, 11, 229, 66, 227])).
% 0.22/0.52 tff(234,plain,
% 0.22/0.52 (((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | ((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(235,plain,
% 0.22/0.52 ((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[234, 233])).
% 0.22/0.52 tff(236,plain,
% 0.22/0.52 ((~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(237,plain,
% 0.22/0.52 ((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[236, 235])).
% 0.22/0.52 tff(238,plain,
% 0.22/0.52 (greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[237, 225])).
% 0.22/0.52 tff(239,plain,
% 0.22/0.52 (((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(240,plain,
% 0.22/0.52 (decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[239, 223])).
% 0.22/0.52 tff(241,plain,
% 0.22/0.52 (((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | ((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(242,plain,
% 0.22/0.52 ((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[241, 215])).
% 0.22/0.52 tff(243,plain,
% 0.22/0.52 ((~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(244,plain,
% 0.22/0.52 ((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[243, 242])).
% 0.22/0.52 tff(245,plain,
% 0.22/0.52 (greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[244, 240])).
% 0.22/0.52 tff(246,plain,
% 0.22/0.52 (^[X: $i, Y: $i] : refl(((~greater(X, Y)) | (~greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X))))),
% 0.22/0.52 inference(bind,[status(th)],[])).
% 0.22/0.52 tff(247,plain,
% 0.22/0.52 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.22/0.52 inference(quant_intro,[status(thm)],[246])).
% 0.22/0.52 tff(248,plain,
% 0.22/0.52 (^[X: $i, Y: $i] : trans(monotonicity(rewrite((greater(X, Y) & greater(Y, X)) <=> (~((~greater(X, Y)) | (~greater(Y, X))))), ((~(greater(X, Y) & greater(Y, X))) <=> (~(~((~greater(X, Y)) | (~greater(Y, X))))))), rewrite((~(~((~greater(X, Y)) | (~greater(Y, X))))) <=> ((~greater(X, Y)) | (~greater(Y, X)))), ((~(greater(X, Y) & greater(Y, X))) <=> ((~greater(X, Y)) | (~greater(Y, X)))))),
% 0.22/0.52 inference(bind,[status(th)],[])).
% 0.22/0.52 tff(249,plain,
% 0.22/0.52 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.22/0.52 inference(quant_intro,[status(thm)],[248])).
% 0.22/0.52 tff(250,plain,
% 0.22/0.52 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X))) <=> ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(251,axiom,(![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp6_2')).
% 0.22/0.52 tff(252,plain,
% 0.22/0.52 (![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[251, 250])).
% 0.22/0.52 tff(253,plain,(
% 0.22/0.52 ![X: $i, Y: $i] : (~(greater(X, Y) & greater(Y, X)))),
% 0.22/0.52 inference(skolemize,[status(sab)],[252])).
% 0.22/0.52 tff(254,plain,
% 0.22/0.52 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[253, 249])).
% 0.22/0.52 tff(255,plain,
% 0.22/0.52 (![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[254, 247])).
% 0.22/0.52 tff(256,plain,
% 0.22/0.52 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(257,plain,
% 0.22/0.52 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.22/0.52 inference(quant_inst,[status(thm)],[])).
% 0.22/0.52 tff(258,plain,
% 0.22/0.52 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[257, 256])).
% 0.22/0.52 tff(259,plain,
% 0.22/0.52 (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[258, 255, 177])).
% 0.22/0.52 tff(260,plain,
% 0.22/0.52 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y))) <=> ![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(261,plain,
% 0.22/0.52 (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((greater(X, Y) & greater(Y, Z)) <=> (~((~greater(Y, Z)) | (~greater(X, Y))))), ((~(greater(X, Y) & greater(Y, Z))) <=> (~(~((~greater(Y, Z)) | (~greater(X, Y))))))), rewrite((~(~((~greater(Y, Z)) | (~greater(X, Y))))) <=> ((~greater(Y, Z)) | (~greater(X, Y)))), ((~(greater(X, Y) & greater(Y, Z))) <=> ((~greater(Y, Z)) | (~greater(X, Y))))), (((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> (((~greater(Y, Z)) | (~greater(X, Y))) | greater(X, Z)))), rewrite((((~greater(Y, Z)) | (~greater(X, Y))) | greater(X, Z)) <=> (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))), (((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))))),
% 0.22/0.52 inference(bind,[status(th)],[])).
% 0.22/0.52 tff(262,plain,
% 0.22/0.52 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.22/0.52 inference(quant_intro,[status(thm)],[261])).
% 0.22/0.52 tff(263,plain,
% 0.22/0.52 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(264,plain,
% 0.22/0.52 (^[X: $i, Y: $i, Z: $i] : rewrite(((greater(X, Y) & greater(Y, Z)) => greater(X, Z)) <=> ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)))),
% 0.22/0.52 inference(bind,[status(th)],[])).
% 0.22/0.52 tff(265,plain,
% 0.22/0.52 (![X: $i, Y: $i, Z: $i] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.22/0.52 inference(quant_intro,[status(thm)],[264])).
% 0.22/0.52 tff(266,axiom,(![X: $i, Y: $i, Z: $i] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_greater_transitivity')).
% 0.22/0.52 tff(267,plain,
% 0.22/0.52 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[266, 265])).
% 0.22/0.52 tff(268,plain,
% 0.22/0.52 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[267, 263])).
% 0.22/0.52 tff(269,plain,(
% 0.22/0.52 ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.22/0.52 inference(skolemize,[status(sab)],[268])).
% 0.22/0.52 tff(270,plain,
% 0.22/0.52 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[269, 262])).
% 0.22/0.52 tff(271,plain,
% 0.22/0.52 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[270, 260])).
% 0.22/0.52 tff(272,plain,
% 0.22/0.52 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))),
% 0.22/0.52 inference(rewrite,[status(thm)],[])).
% 0.22/0.52 tff(273,plain,
% 0.22/0.52 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))),
% 0.22/0.52 inference(quant_inst,[status(thm)],[])).
% 0.22/0.52 tff(274,plain,
% 0.22/0.52 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))),
% 0.22/0.52 inference(modus_ponens,[status(thm)],[273, 272])).
% 0.22/0.52 tff(275,plain,
% 0.22/0.52 ($false),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[274, 271, 259, 245, 238])).
% 0.22/0.52 tff(276,plain,((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.52 tff(277,assumption,(~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))), introduced(assumption)).
% 0.22/0.52 tff(278,plain,
% 0.22/0.52 (((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(279,plain,
% 0.22/0.52 (decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[278, 277])).
% 0.22/0.52 tff(280,plain,
% 0.22/0.52 (((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | ((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.52 inference(tautology,[status(thm)],[])).
% 0.22/0.52 tff(281,plain,
% 0.22/0.52 ((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.52 inference(unit_resolution,[status(thm)],[280, 233])).
% 0.22/0.53 tff(282,plain,
% 0.22/0.53 ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.53 inference(tautology,[status(thm)],[])).
% 0.22/0.53 tff(283,plain,
% 0.22/0.53 ((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[282, 281])).
% 0.22/0.53 tff(284,plain,
% 0.22/0.53 (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[283, 279])).
% 0.22/0.53 tff(285,plain,
% 0.22/0.53 (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[164, 284])).
% 0.22/0.53 tff(286,plain,
% 0.22/0.53 (((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.53 inference(tautology,[status(thm)],[])).
% 0.22/0.53 tff(287,plain,
% 0.22/0.53 (increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[286, 277])).
% 0.22/0.53 tff(288,plain,
% 0.22/0.53 (((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | ((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))),
% 0.22/0.53 inference(tautology,[status(thm)],[])).
% 0.22/0.53 tff(289,plain,
% 0.22/0.53 ((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[288, 215])).
% 0.22/0.53 tff(290,plain,
% 0.22/0.53 ((~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)),
% 0.22/0.53 inference(tautology,[status(thm)],[])).
% 0.22/0.53 tff(291,plain,
% 0.22/0.53 ((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[290, 289])).
% 0.22/0.53 tff(292,plain,
% 0.22/0.53 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[291, 287])).
% 0.22/0.53 tff(293,plain,
% 0.22/0.53 (((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))),
% 0.22/0.53 inference(tautology,[status(thm)],[])).
% 0.22/0.53 tff(294,plain,
% 0.22/0.53 ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[293, 292])).
% 0.22/0.53 tff(295,plain,
% 0.22/0.53 ($false),
% 0.22/0.53 inference(unit_resolution,[status(thm)],[138, 294, 285, 137])).
% 0.22/0.53 tff(296,plain,((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))), inference(lemma,lemma(discharge,[]))).
% 0.22/0.53 tff(297,plain,
% 0.22/0.53 (^[B: $i, C: $i] : refl(((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C))))) <=> ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C))))))),
% 0.22/0.53 inference(bind,[status(th)],[])).
% 0.22/0.53 tff(298,plain,
% 0.22/0.53 (![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C))))) <=> ![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))),
% 0.22/0.53 inference(quant_intro,[status(thm)],[297])).
% 0.22/0.53 tff(299,plain,
% 0.22/0.53 (^[B: $i, C: $i] : trans(monotonicity(rewrite((decreases(B) & increases(C)) <=> (~((~decreases(B)) | (~increases(C))))), rewrite((increases(B) & decreases(C)) <=> (~((~increases(B)) | (~decreases(C))))), rewrite((constant(B) & constant(C)) <=> (~((~constant(B)) | (~constant(C))))), (((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~constant(sum(B, C)))) <=> ((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~constant(sum(B, C)))))), rewrite(((~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))) | (~constant(sum(B, C)))) <=> ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))), (((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~constant(sum(B, C)))) <=> ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))))),
% 0.22/0.53 inference(bind,[status(th)],[])).
% 0.22/0.53 tff(300,plain,
% 0.22/0.53 (![B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~constant(sum(B, C)))) <=> ![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))),
% 0.22/0.53 inference(quant_intro,[status(thm)],[299])).
% 0.22/0.53 tff(301,plain,
% 0.22/0.53 (![B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~constant(sum(B, C)))) <=> ![B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~constant(sum(B, C))))),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(302,plain,
% 0.22/0.53 (^[B: $i, C: $i] : rewrite(((~constant(sum(B, C))) | (decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C))) <=> ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~constant(sum(B, C)))))),
% 0.22/0.53 inference(bind,[status(th)],[])).
% 0.22/0.53 tff(303,plain,
% 0.22/0.53 (![B: $i, C: $i] : ((~constant(sum(B, C))) | (decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C))) <=> ![B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~constant(sum(B, C))))),
% 0.22/0.53 inference(quant_intro,[status(thm)],[302])).
% 0.22/0.53 tff(304,plain,
% 0.22/0.53 (![A: $i, B: $i, C: $i] : ((~constant(sum(B, C))) | (decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C))) <=> ![B: $i, C: $i] : ((~constant(sum(B, C))) | (decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)))),
% 0.22/0.53 inference(elim_unused_vars,[status(thm)],[])).
% 0.22/0.53 tff(305,plain,
% 0.22/0.53 (![A: $i, B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~((A = sum(B, C)) & constant(A)))) <=> ![A: $i, B: $i, C: $i] : ((~constant(sum(B, C))) | (decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)))),
% 0.22/0.53 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.22/0.53 tff(306,plain,
% 0.22/0.53 (![A: $i, B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~((A = sum(B, C)) & constant(A)))) <=> ![B: $i, C: $i] : ((~constant(sum(B, C))) | (decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)))),
% 0.22/0.53 inference(transitivity,[status(thm)],[305, 304])).
% 0.22/0.53 tff(307,plain,
% 0.22/0.53 (![A: $i, B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~((A = sum(B, C)) & constant(A)))) <=> ![B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~constant(sum(B, C))))),
% 0.22/0.53 inference(transitivity,[status(thm)],[306, 303])).
% 0.22/0.53 tff(308,plain,
% 0.22/0.53 (^[A: $i, B: $i, C: $i] : trans(monotonicity(rewrite((((constant(B) & constant(C)) | (increases(B) & decreases(C))) | (decreases(B) & increases(C))) <=> ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)))), ((((A = sum(B, C)) & constant(A)) => (((constant(B) & constant(C)) | (increases(B) & decreases(C))) | (decreases(B) & increases(C)))) <=> (((A = sum(B, C)) & constant(A)) => ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)))))), rewrite((((A = sum(B, C)) & constant(A)) => ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)))) <=> ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~((A = sum(B, C)) & constant(A))))), ((((A = sum(B, C)) & constant(A)) => (((constant(B) & constant(C)) | (increases(B) & decreases(C))) | (decreases(B) & increases(C)))) <=> ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~((A = sum(B, C)) & constant(A))))))),
% 0.22/0.53 inference(bind,[status(th)],[])).
% 0.22/0.53 tff(309,plain,
% 0.22/0.53 (![A: $i, B: $i, C: $i] : (((A = sum(B, C)) & constant(A)) => (((constant(B) & constant(C)) | (increases(B) & decreases(C))) | (decreases(B) & increases(C)))) <=> ![A: $i, B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~((A = sum(B, C)) & constant(A))))),
% 0.22/0.53 inference(quant_intro,[status(thm)],[308])).
% 0.22/0.53 tff(310,plain,
% 0.22/0.53 (![A: $i, B: $i, C: $i] : (((A = sum(B, C)) & constant(A)) => (((constant(B) & constant(C)) | (increases(B) & decreases(C))) | (decreases(B) & increases(C)))) <=> ![B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~constant(sum(B, C))))),
% 0.22/0.53 inference(transitivity,[status(thm)],[309, 307])).
% 0.22/0.53 tff(311,axiom,(![A: $i, B: $i, C: $i] : (((A = sum(B, C)) & constant(A)) => (((constant(B) & constant(C)) | (increases(B) & decreases(C))) | (decreases(B) & increases(C))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_abc_sum_increase')).
% 0.22/0.53 tff(312,plain,
% 0.22/0.53 (![B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~constant(sum(B, C))))),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[311, 310])).
% 0.22/0.53 tff(313,plain,
% 0.22/0.53 (![B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~constant(sum(B, C))))),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[312, 301])).
% 0.22/0.53 tff(314,plain,(
% 0.22/0.53 ![B: $i, C: $i] : ((decreases(B) & increases(C)) | (increases(B) & decreases(C)) | (constant(B) & constant(C)) | (~constant(sum(B, C))))),
% 0.22/0.53 inference(skolemize,[status(sab)],[313])).
% 0.22/0.53 tff(315,plain,
% 0.22/0.53 (![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[314, 300])).
% 0.22/0.53 tff(316,plain,
% 0.22/0.53 (![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[315, 298])).
% 0.22/0.53 tff(317,plain,
% 0.22/0.53 (((~![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))) | ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))))) <=> ((~![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(318,plain,
% 0.22/0.53 (((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(319,plain,
% 0.22/0.53 ((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(320,plain,
% 0.22/0.53 ((~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) <=> (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.22/0.53 inference(rewrite,[status(thm)],[])).
% 0.22/0.53 tff(321,plain,
% 0.22/0.53 (((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.22/0.53 inference(monotonicity,[status(thm)],[320, 319])).
% 0.22/0.53 tff(322,plain,
% 0.22/0.53 (((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) <=> ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.22/0.53 inference(transitivity,[status(thm)],[321, 318])).
% 0.22/0.53 tff(323,plain,
% 0.22/0.53 (((~![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))) | ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))))) <=> ((~![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))) | ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))),
% 0.22/0.53 inference(monotonicity,[status(thm)],[322])).
% 0.22/0.53 tff(324,plain,
% 0.22/0.53 (((~![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))) | ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))))) <=> ((~![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.22/0.53 inference(transitivity,[status(thm)],[323, 317])).
% 0.22/0.53 tff(325,plain,
% 0.22/0.53 ((~![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))) | ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.22/0.53 inference(quant_inst,[status(thm)],[])).
% 0.22/0.53 tff(326,plain,
% 0.22/0.53 ((~![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.22/0.53 inference(modus_ponens,[status(thm)],[325, 324])).
% 0.22/0.53 tff(327,plain,
% 0.22/0.53 ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[326, 316])).
% 0.22/0.54 tff(328,plain,
% 0.22/0.54 ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[327, 296, 276])).
% 0.22/0.54 tff(329,plain,
% 0.22/0.54 (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_To_1(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[328, 222])).
% 0.22/0.54 tff(330,plain,
% 0.22/0.54 (~constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[329, 117])).
% 0.22/0.54 tff(331,plain,
% 0.22/0.54 (^[E: $i, T: $i] : refl(((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))))))),
% 0.22/0.54 inference(bind,[status(th)],[])).
% 0.22/0.54 tff(332,plain,
% 0.22/0.54 (![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))))) <=> ![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))),
% 0.22/0.54 inference(quant_intro,[status(thm)],[331])).
% 0.22/0.54 tff(333,plain,
% 0.22/0.54 (^[E: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & in_environment(E, T)) <=> (~((~environment(E)) | (~in_environment(E, T))))), ((~(environment(E) & in_environment(E, T))) <=> (~(~((~environment(E)) | (~in_environment(E, T))))))), rewrite((~(~((~environment(E)) | (~in_environment(E, T))))) <=> ((~environment(E)) | (~in_environment(E, T)))), ((~(environment(E) & in_environment(E, T))) <=> ((~environment(E)) | (~in_environment(E, T))))), rewrite((((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))) <=> (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))))), (((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))) <=> (((~environment(E)) | (~in_environment(E, T))) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))))))), rewrite((((~environment(E)) | (~in_environment(E, T))) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))), (((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))))),
% 0.22/0.54 inference(bind,[status(th)],[])).
% 0.22/0.54 tff(334,plain,
% 0.22/0.54 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))) <=> ![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))),
% 0.22/0.54 inference(quant_intro,[status(thm)],[333])).
% 0.22/0.54 tff(335,plain,
% 0.22/0.54 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))) <=> ![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(336,plain,
% 0.22/0.54 (^[E: $i, T: $i] : trans(monotonicity(rewrite(((decreases(resources(E, T)) => (~decreases(number_of_organizations(E, T)))) & (constant(resources(E, T)) => constant(number_of_organizations(E, T)))) <=> (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))), (((environment(E) & in_environment(E, T)) => ((decreases(resources(E, T)) => (~decreases(number_of_organizations(E, T)))) & (constant(resources(E, T)) => constant(number_of_organizations(E, T))))) <=> ((environment(E) & in_environment(E, T)) => (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))))), rewrite(((environment(E) & in_environment(E, T)) => (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T)))))) <=> ((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))), (((environment(E) & in_environment(E, T)) => ((decreases(resources(E, T)) => (~decreases(number_of_organizations(E, T)))) & (constant(resources(E, T)) => constant(number_of_organizations(E, T))))) <=> ((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))),
% 0.22/0.54 inference(bind,[status(th)],[])).
% 0.22/0.54 tff(337,plain,
% 0.22/0.54 (![E: $i, T: $i] : ((environment(E) & in_environment(E, T)) => ((decreases(resources(E, T)) => (~decreases(number_of_organizations(E, T)))) & (constant(resources(E, T)) => constant(number_of_organizations(E, T))))) <=> ![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))),
% 0.22/0.54 inference(quant_intro,[status(thm)],[336])).
% 0.22/0.54 tff(338,axiom,(![E: $i, T: $i] : ((environment(E) & in_environment(E, T)) => ((decreases(resources(E, T)) => (~decreases(number_of_organizations(E, T)))) & (constant(resources(E, T)) => constant(number_of_organizations(E, T)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a7')).
% 0.22/0.54 tff(339,plain,
% 0.22/0.54 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[338, 337])).
% 0.22/0.54 tff(340,plain,
% 0.22/0.54 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[339, 335])).
% 0.22/0.54 tff(341,plain,(
% 0.22/0.54 ![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T))) | (((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T)))) & (constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))),
% 0.22/0.54 inference(skolemize,[status(sab)],[340])).
% 0.22/0.54 tff(342,plain,
% 0.22/0.54 (![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[341, 334])).
% 0.22/0.54 tff(343,plain,
% 0.22/0.54 (![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[342, 332])).
% 0.22/0.54 tff(344,plain,
% 0.22/0.54 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))))))))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(345,plain,
% 0.22/0.54 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))))))))),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(346,plain,
% 0.22/0.54 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[345, 344])).
% 0.22/0.54 tff(347,plain,
% 0.22/0.54 (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[346, 343, 11, 66])).
% 0.22/0.54 tff(348,plain,
% 0.22/0.54 (((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))) | (constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(349,plain,
% 0.22/0.54 (constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[348, 347])).
% 0.22/0.54 tff(350,plain,
% 0.22/0.54 ((~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))))) | constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.54 inference(tautology,[status(thm)],[])).
% 0.22/0.54 tff(351,plain,
% 0.22/0.54 (constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[350, 349])).
% 0.22/0.54 tff(352,plain,
% 0.22/0.54 (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[351, 330])).
% 0.22/0.54 tff(353,plain,
% 0.22/0.54 (^[E: $i, T: $i] : refl((greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) <=> (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))),
% 0.22/0.54 inference(bind,[status(th)],[])).
% 0.22/0.54 tff(354,plain,
% 0.22/0.54 (![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) <=> ![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.22/0.54 inference(quant_intro,[status(thm)],[353])).
% 0.22/0.54 tff(355,plain,
% 0.22/0.54 (^[E: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) <=> (~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))), ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) <=> (~(~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))))), rewrite((~(~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))), ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))))), (((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero)) <=> (((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero)))), rewrite((((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero)) <=> (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))), (((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero)) <=> (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))))),
% 0.22/0.54 inference(bind,[status(th)],[])).
% 0.22/0.54 tff(356,plain,
% 0.22/0.54 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero)) <=> ![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.22/0.54 inference(quant_intro,[status(thm)],[355])).
% 0.22/0.54 tff(357,plain,
% 0.22/0.54 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero)) <=> ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(358,plain,
% 0.22/0.54 (^[E: $i, T: $i] : rewrite(((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => greater(number_of_organizations(E, T), zero)) <=> ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero)))),
% 0.22/0.54 inference(bind,[status(th)],[])).
% 0.22/0.54 tff(359,plain,
% 0.22/0.54 (![E: $i, T: $i] : ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => greater(number_of_organizations(E, T), zero)) <=> ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero))),
% 0.22/0.54 inference(quant_intro,[status(thm)],[358])).
% 0.22/0.54 tff(360,axiom,(![E: $i, T: $i] : ((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) => greater(number_of_organizations(E, T), zero))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_environment_not_empty')).
% 0.22/0.54 tff(361,plain,
% 0.22/0.54 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[360, 359])).
% 0.22/0.54 tff(362,plain,
% 0.22/0.54 (![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[361, 357])).
% 0.22/0.54 tff(363,plain,(
% 0.22/0.54 ![E: $i, T: $i] : ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T))) | greater(number_of_organizations(E, T), zero))),
% 0.22/0.54 inference(skolemize,[status(sab)],[362])).
% 0.22/0.54 tff(364,plain,
% 0.22/0.54 (![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[363, 356])).
% 0.22/0.54 tff(365,plain,
% 0.22/0.54 (![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[364, 354])).
% 0.22/0.54 tff(366,plain,
% 0.22/0.54 (((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))) <=> ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(367,plain,
% 0.22/0.54 ((greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))) <=> ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))),
% 0.22/0.54 inference(rewrite,[status(thm)],[])).
% 0.22/0.54 tff(368,plain,
% 0.22/0.54 (((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)))),
% 0.22/0.54 inference(monotonicity,[status(thm)],[367])).
% 0.22/0.54 tff(369,plain,
% 0.22/0.54 (((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero))),
% 0.22/0.54 inference(transitivity,[status(thm)],[368, 366])).
% 0.22/0.54 tff(370,plain,
% 0.22/0.54 ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.22/0.54 inference(quant_inst,[status(thm)],[])).
% 0.22/0.54 tff(371,plain,
% 0.22/0.54 ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)),
% 0.22/0.54 inference(modus_ponens,[status(thm)],[370, 369])).
% 0.22/0.54 tff(372,plain,
% 0.22/0.54 (greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)),
% 0.22/0.54 inference(unit_resolution,[status(thm)],[371, 365, 11, 46])).
% 0.22/0.54 tff(373,plain,
% 0.22/0.54 (^[E: $i, T: $i] : refl(((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T))))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T))))))))),
% 0.22/0.54 inference(bind,[status(th)],[])).
% 0.22/0.54 tff(374,plain,
% 0.22/0.54 (![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T))))))) <=> ![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))),
% 0.22/0.54 inference(quant_intro,[status(thm)],[373])).
% 0.22/0.54 tff(375,plain,
% 0.22/0.54 (^[E: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero)) <=> (~((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero))))), ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) <=> (~(~((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero))))))), rewrite((~(~((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)))), ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero))))), trans(monotonicity(rewrite(((~greater(equilibrium(E), T)) | decreases(resources(E, T))) <=> ((~greater(equilibrium(E), T)) | decreases(resources(E, T)))), rewrite((greater(equilibrium(E), T) | constant(resources(E, T))) <=> (greater(equilibrium(E), T) | constant(resources(E, T)))), ((((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))) <=> (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))))), rewrite((((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))) <=> (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T))))))), ((((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))) <=> (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))), (((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T))))) <=> (((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero))) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T))))))))), rewrite((((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero))) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T))))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))), (((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T))))) <=> ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))))),
% 0.22/0.55 inference(bind,[status(th)],[])).
% 0.22/0.55 tff(376,plain,
% 0.22/0.55 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T))))) <=> ![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))),
% 0.22/0.55 inference(quant_intro,[status(thm)],[375])).
% 0.22/0.55 tff(377,plain,
% 0.22/0.55 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T))))) <=> ![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(378,plain,
% 0.22/0.55 (^[E: $i, T: $i] : trans(monotonicity(rewrite(((environment(E) & in_environment(E, T)) & greater(number_of_organizations(E, T), zero)) <=> (environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))), rewrite(((greater(equilibrium(E), T) => decreases(resources(E, T))) & ((~greater(equilibrium(E), T)) => constant(resources(E, T)))) <=> (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T))))), ((((environment(E) & in_environment(E, T)) & greater(number_of_organizations(E, T), zero)) => ((greater(equilibrium(E), T) => decreases(resources(E, T))) & ((~greater(equilibrium(E), T)) => constant(resources(E, T))))) <=> ((environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero)) => (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T))))))), rewrite(((environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero)) => (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T))))) <=> ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))))), ((((environment(E) & in_environment(E, T)) & greater(number_of_organizations(E, T), zero)) => ((greater(equilibrium(E), T) => decreases(resources(E, T))) & ((~greater(equilibrium(E), T)) => constant(resources(E, T))))) <=> ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))))))),
% 0.22/0.55 inference(bind,[status(th)],[])).
% 0.22/0.55 tff(379,plain,
% 0.22/0.55 (![E: $i, T: $i] : (((environment(E) & in_environment(E, T)) & greater(number_of_organizations(E, T), zero)) => ((greater(equilibrium(E), T) => decreases(resources(E, T))) & ((~greater(equilibrium(E), T)) => constant(resources(E, T))))) <=> ![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))))),
% 0.22/0.55 inference(quant_intro,[status(thm)],[378])).
% 0.22/0.55 tff(380,axiom,(![E: $i, T: $i] : (((environment(E) & in_environment(E, T)) & greater(number_of_organizations(E, T), zero)) => ((greater(equilibrium(E), T) => decreases(resources(E, T))) & ((~greater(equilibrium(E), T)) => constant(resources(E, T)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a4')).
% 0.22/0.55 tff(381,plain,
% 0.22/0.55 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))))),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[380, 379])).
% 0.22/0.55 tff(382,plain,
% 0.22/0.55 (![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))))),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[381, 377])).
% 0.22/0.55 tff(383,plain,(
% 0.22/0.55 ![E: $i, T: $i] : ((~(environment(E) & in_environment(E, T) & greater(number_of_organizations(E, T), zero))) | (((~greater(equilibrium(E), T)) | decreases(resources(E, T))) & (greater(equilibrium(E), T) | constant(resources(E, T)))))),
% 0.22/0.55 inference(skolemize,[status(sab)],[382])).
% 0.22/0.55 tff(384,plain,
% 0.22/0.55 (![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[383, 376])).
% 0.22/0.55 tff(385,plain,
% 0.22/0.55 (![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[384, 374])).
% 0.22/0.55 tff(386,plain,
% 0.22/0.55 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2))))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(387,plain,
% 0.22/0.55 (((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~((~((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))) | decreases(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))))))))) <=> ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(388,plain,
% 0.22/0.55 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~((~((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))) | decreases(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))),
% 0.22/0.55 inference(monotonicity,[status(thm)],[387])).
% 0.22/0.55 tff(389,plain,
% 0.22/0.55 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~((~((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))) | decreases(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2))))))))),
% 0.22/0.55 inference(transitivity,[status(thm)],[388, 386])).
% 0.22/0.55 tff(390,plain,
% 0.22/0.55 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~((~((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))) | decreases(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))))))))),
% 0.22/0.55 inference(quant_inst,[status(thm)],[])).
% 0.22/0.55 tff(391,plain,
% 0.22/0.55 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))))))),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[390, 389])).
% 0.22/0.55 tff(392,plain,
% 0.22/0.55 (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2))))))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[391, 385, 11, 66, 372])).
% 0.22/0.55 tff(393,plain,
% 0.22/0.55 (((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))))) | (constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2))))),
% 0.22/0.55 inference(tautology,[status(thm)],[])).
% 0.22/0.55 tff(394,plain,
% 0.22/0.55 (constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[393, 392])).
% 0.22/0.55 tff(395,plain,
% 0.22/0.55 ((~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2))))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.22/0.55 inference(tautology,[status(thm)],[])).
% 0.22/0.55 tff(396,plain,
% 0.22/0.55 (constant(resources(E!2, tptp_fun_T_3(tptp_fun_To_1(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[395, 394])).
% 0.22/0.55 tff(397,plain,
% 0.22/0.55 (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[396, 352])).
% 0.22/0.55 tff(398,assumption,(greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2)))), introduced(assumption)).
% 0.22/0.55 tff(399,assumption,(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))), introduced(assumption)).
% 0.22/0.55 tff(400,assumption,(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))), introduced(assumption)).
% 0.22/0.55 tff(401,assumption,(greater(tptp_fun_T_0(E!2), equilibrium(E!2))), introduced(assumption)).
% 0.22/0.55 tff(402,plain,
% 0.22/0.55 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(tptp_fun_T_0(E!2), equilibrium(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(tptp_fun_T_0(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(tptp_fun_T_0(E!2), equilibrium(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(tptp_fun_T_0(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(403,plain,
% 0.22/0.55 ((greater(tptp_fun_T_0(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(tptp_fun_T_0(E!2), equilibrium(E!2)))) <=> ((~greater(tptp_fun_T_0(E!2), equilibrium(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(tptp_fun_T_0(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(404,plain,
% 0.22/0.55 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(tptp_fun_T_0(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(tptp_fun_T_0(E!2), equilibrium(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(tptp_fun_T_0(E!2), equilibrium(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(tptp_fun_T_0(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.22/0.55 inference(monotonicity,[status(thm)],[403])).
% 0.22/0.55 tff(405,plain,
% 0.22/0.55 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(tptp_fun_T_0(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(tptp_fun_T_0(E!2), equilibrium(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(tptp_fun_T_0(E!2), equilibrium(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(tptp_fun_T_0(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.22/0.55 inference(transitivity,[status(thm)],[404, 402])).
% 0.22/0.55 tff(406,plain,
% 0.22/0.55 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(tptp_fun_T_0(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(tptp_fun_T_0(E!2), equilibrium(E!2))))),
% 0.22/0.55 inference(quant_inst,[status(thm)],[])).
% 0.22/0.55 tff(407,plain,
% 0.22/0.55 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(tptp_fun_T_0(E!2), equilibrium(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(tptp_fun_T_0(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.22/0.55 inference(modus_ponens,[status(thm)],[406, 405])).
% 0.22/0.55 tff(408,plain,
% 0.22/0.55 (greater(tptp_fun_T_0(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.22/0.55 inference(unit_resolution,[status(thm)],[407, 271, 401, 400])).
% 0.22/0.55 tff(409,plain,
% 0.22/0.55 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))) | (~greater(tptp_fun_T_0(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))) | (~greater(tptp_fun_T_0(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.22/0.55 inference(rewrite,[status(thm)],[])).
% 0.22/0.55 tff(410,plain,
% 0.22/0.55 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))) | (~greater(tptp_fun_T_0(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.22/0.55 inference(quant_inst,[status(thm)],[])).
% 0.22/0.55 tff(411,plain,
% 0.22/0.55 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))) | (~greater(tptp_fun_T_0(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.22/0.56 inference(modus_ponens,[status(thm)],[410, 409])).
% 0.22/0.56 tff(412,plain,
% 0.22/0.56 (~greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[411, 255, 408])).
% 0.22/0.56 tff(413,plain,
% 0.22/0.56 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))))),
% 0.22/0.56 inference(quant_inst,[status(thm)],[])).
% 0.22/0.56 tff(414,plain,
% 0.22/0.56 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)))),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[413, 134])).
% 0.22/0.56 tff(415,plain,
% 0.22/0.56 (^[E: $i] : refl(((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E)))))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E)))))))),
% 0.22/0.56 inference(bind,[status(th)],[])).
% 0.22/0.56 tff(416,plain,
% 0.22/0.56 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E)))))) <=> ![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))),
% 0.22/0.56 inference(quant_intro,[status(thm)],[415])).
% 0.22/0.56 tff(417,plain,
% 0.22/0.56 (^[E: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & stable(E)) <=> (~((~environment(E)) | (~stable(E))))), ((~(environment(E) & stable(E))) <=> (~(~((~environment(E)) | (~stable(E))))))), rewrite((~(~((~environment(E)) | (~stable(E))))) <=> ((~environment(E)) | (~stable(E)))), ((~(environment(E) & stable(E))) <=> ((~environment(E)) | (~stable(E))))), rewrite((in_environment(E, tptp_fun_T_0(E)) & greater_or_equal(tptp_fun_T_0(E), equilibrium(E))) <=> (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E)))))), (((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_T_0(E)) & greater_or_equal(tptp_fun_T_0(E), equilibrium(E)))) <=> (((~environment(E)) | (~stable(E))) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E)))))))), rewrite((((~environment(E)) | (~stable(E))) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E)))))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))), (((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_T_0(E)) & greater_or_equal(tptp_fun_T_0(E), equilibrium(E)))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))))),
% 0.22/0.56 inference(bind,[status(th)],[])).
% 0.22/0.56 tff(418,plain,
% 0.22/0.56 (![E: $i] : ((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_T_0(E)) & greater_or_equal(tptp_fun_T_0(E), equilibrium(E)))) <=> ![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))),
% 0.22/0.56 inference(quant_intro,[status(thm)],[417])).
% 0.22/0.56 tff(419,plain,
% 0.22/0.56 (![E: $i] : ((~(environment(E) & stable(E))) | ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E)))) <=> ![E: $i] : ((~(environment(E) & stable(E))) | ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E))))),
% 0.22/0.56 inference(rewrite,[status(thm)],[])).
% 0.22/0.56 tff(420,plain,
% 0.22/0.56 (^[E: $i] : rewrite(((environment(E) & stable(E)) => ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E)))) <=> ((~(environment(E) & stable(E))) | ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E)))))),
% 0.22/0.56 inference(bind,[status(th)],[])).
% 0.22/0.56 tff(421,plain,
% 0.22/0.56 (![E: $i] : ((environment(E) & stable(E)) => ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E)))) <=> ![E: $i] : ((~(environment(E) & stable(E))) | ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E))))),
% 0.22/0.56 inference(quant_intro,[status(thm)],[420])).
% 0.22/0.56 tff(422,axiom,(![E: $i] : ((environment(E) & stable(E)) => ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','a5')).
% 0.22/0.56 tff(423,plain,
% 0.22/0.56 (![E: $i] : ((~(environment(E) & stable(E))) | ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E))))),
% 0.22/0.56 inference(modus_ponens,[status(thm)],[422, 421])).
% 0.22/0.56 tff(424,plain,
% 0.22/0.56 (![E: $i] : ((~(environment(E) & stable(E))) | ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E))))),
% 0.22/0.56 inference(modus_ponens,[status(thm)],[423, 419])).
% 0.22/0.56 tff(425,plain,(
% 0.22/0.56 ![E: $i] : ((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_T_0(E)) & greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))),
% 0.22/0.56 inference(skolemize,[status(sab)],[424])).
% 0.22/0.56 tff(426,plain,
% 0.22/0.56 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))),
% 0.22/0.56 inference(modus_ponens,[status(thm)],[425, 418])).
% 0.22/0.56 tff(427,plain,
% 0.22/0.56 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))),
% 0.22/0.56 inference(modus_ponens,[status(thm)],[426, 416])).
% 0.22/0.56 tff(428,plain,
% 0.22/0.56 (((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))) | ((~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_T_0(E!2))) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))))))) <=> ((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))) | (~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_T_0(E!2))) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))))))),
% 0.22/0.56 inference(rewrite,[status(thm)],[])).
% 0.22/0.56 tff(429,plain,
% 0.22/0.56 ((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))) | ((~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_T_0(E!2))) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))))))),
% 0.22/0.56 inference(quant_inst,[status(thm)],[])).
% 0.22/0.56 tff(430,plain,
% 0.22/0.56 ((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_0(E))) | (~greater_or_equal(tptp_fun_T_0(E), equilibrium(E))))))) | (~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_T_0(E!2))) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2)))))),
% 0.22/0.56 inference(modus_ponens,[status(thm)],[429, 428])).
% 0.22/0.56 tff(431,plain,
% 0.22/0.56 (~((~in_environment(E!2, tptp_fun_T_0(E!2))) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))))),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[430, 427, 11, 10])).
% 0.22/0.56 tff(432,plain,
% 0.22/0.56 (((~in_environment(E!2, tptp_fun_T_0(E!2))) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2)))) | in_environment(E!2, tptp_fun_T_0(E!2))),
% 0.22/0.56 inference(tautology,[status(thm)],[])).
% 0.22/0.56 tff(433,plain,
% 0.22/0.56 (in_environment(E!2, tptp_fun_T_0(E!2))),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[432, 431])).
% 0.22/0.56 tff(434,plain,
% 0.22/0.56 (((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | ((~in_environment(E!2, tptp_fun_T_0(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))))))) <=> ((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | (~in_environment(E!2, tptp_fun_T_0(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))))))),
% 0.22/0.56 inference(rewrite,[status(thm)],[])).
% 0.22/0.56 tff(435,plain,
% 0.22/0.56 ((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | ((~in_environment(E!2, tptp_fun_T_0(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))))))),
% 0.22/0.56 inference(quant_inst,[status(thm)],[])).
% 0.22/0.56 tff(436,plain,
% 0.22/0.56 ((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | (~in_environment(E!2, tptp_fun_T_0(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)))))),
% 0.22/0.56 inference(modus_ponens,[status(thm)],[435, 434])).
% 0.22/0.56 tff(437,plain,
% 0.22/0.56 (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))))),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[436, 40, 433])).
% 0.22/0.56 tff(438,plain,
% 0.22/0.56 ((outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)))) | greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))),
% 0.22/0.56 inference(tautology,[status(thm)],[])).
% 0.22/0.56 tff(439,plain,
% 0.22/0.56 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[438, 437])).
% 0.22/0.56 tff(440,plain,
% 0.22/0.56 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))) | ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)))),
% 0.22/0.56 inference(tautology,[status(thm)],[])).
% 0.22/0.56 tff(441,plain,
% 0.22/0.56 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))))) | ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)))),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[440, 439])).
% 0.22/0.56 tff(442,plain,
% 0.22/0.56 ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[441, 414])).
% 0.22/0.56 tff(443,plain,
% 0.22/0.56 ((~((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)))) | (tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))),
% 0.22/0.56 inference(tautology,[status(thm)],[])).
% 0.22/0.56 tff(444,plain,
% 0.22/0.56 ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))),
% 0.22/0.56 inference(unit_resolution,[status(thm)],[443, 442])).
% 0.32/0.56 tff(445,plain,
% 0.32/0.56 (tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_T_0(E!2)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[444, 412])).
% 0.32/0.56 tff(446,plain,
% 0.32/0.56 (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) <=> greater(equilibrium(E!2), tptp_fun_T_0(E!2))),
% 0.32/0.56 inference(monotonicity,[status(thm)],[445])).
% 0.32/0.56 tff(447,plain,
% 0.32/0.56 (greater(equilibrium(E!2), tptp_fun_T_0(E!2)) <=> greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.56 inference(symmetry,[status(thm)],[446])).
% 0.32/0.56 tff(448,plain,
% 0.32/0.56 ((~greater(equilibrium(E!2), tptp_fun_T_0(E!2))) <=> (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.56 inference(monotonicity,[status(thm)],[447])).
% 0.32/0.56 tff(449,plain,
% 0.32/0.56 (((~in_environment(E!2, tptp_fun_T_0(E!2))) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2)))) | greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))),
% 0.32/0.56 inference(tautology,[status(thm)],[])).
% 0.32/0.56 tff(450,plain,
% 0.32/0.56 (greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[449, 431])).
% 0.32/0.56 tff(451,plain,
% 0.32/0.56 (^[E: $i, T: $i] : refl(((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E)))) <=> ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E)))))),
% 0.32/0.56 inference(bind,[status(th)],[])).
% 0.32/0.56 tff(452,plain,
% 0.32/0.56 (![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E)))) <=> ![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))),
% 0.32/0.56 inference(quant_intro,[status(thm)],[451])).
% 0.32/0.56 tff(453,plain,
% 0.32/0.56 (^[E: $i, T: $i] : trans(monotonicity(trans(monotonicity(rewrite((environment(E) & greater_or_equal(T, equilibrium(E))) <=> (~((~environment(E)) | (~greater_or_equal(T, equilibrium(E)))))), ((~(environment(E) & greater_or_equal(T, equilibrium(E)))) <=> (~(~((~environment(E)) | (~greater_or_equal(T, equilibrium(E)))))))), rewrite((~(~((~environment(E)) | (~greater_or_equal(T, equilibrium(E)))))) <=> ((~environment(E)) | (~greater_or_equal(T, equilibrium(E))))), ((~(environment(E) & greater_or_equal(T, equilibrium(E)))) <=> ((~environment(E)) | (~greater_or_equal(T, equilibrium(E)))))), (((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E))))) <=> ((~greater(equilibrium(E), T)) | ((~environment(E)) | (~greater_or_equal(T, equilibrium(E))))))), rewrite(((~greater(equilibrium(E), T)) | ((~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) <=> ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))), (((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E))))) <=> ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))))),
% 0.32/0.56 inference(bind,[status(th)],[])).
% 0.32/0.56 tff(454,plain,
% 0.32/0.56 (![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E))))) <=> ![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))),
% 0.32/0.56 inference(quant_intro,[status(thm)],[453])).
% 0.32/0.56 tff(455,plain,
% 0.32/0.56 (![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E))))) <=> ![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E)))))),
% 0.32/0.56 inference(rewrite,[status(thm)],[])).
% 0.32/0.56 tff(456,plain,
% 0.32/0.56 (^[E: $i, T: $i] : rewrite(((environment(E) & greater_or_equal(T, equilibrium(E))) => (~greater(equilibrium(E), T))) <=> ((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E))))))),
% 0.32/0.56 inference(bind,[status(th)],[])).
% 0.32/0.56 tff(457,plain,
% 0.32/0.56 (![E: $i, T: $i] : ((environment(E) & greater_or_equal(T, equilibrium(E))) => (~greater(equilibrium(E), T))) <=> ![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E)))))),
% 0.32/0.56 inference(quant_intro,[status(thm)],[456])).
% 0.32/0.56 tff(458,axiom,(![E: $i, T: $i] : ((environment(E) & greater_or_equal(T, equilibrium(E))) => (~greater(equilibrium(E), T)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_equilibrium')).
% 0.32/0.56 tff(459,plain,
% 0.32/0.56 (![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E)))))),
% 0.32/0.56 inference(modus_ponens,[status(thm)],[458, 457])).
% 0.32/0.56 tff(460,plain,
% 0.32/0.56 (![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E)))))),
% 0.32/0.56 inference(modus_ponens,[status(thm)],[459, 455])).
% 0.32/0.56 tff(461,plain,(
% 0.32/0.56 ![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~(environment(E) & greater_or_equal(T, equilibrium(E)))))),
% 0.32/0.56 inference(skolemize,[status(sab)],[460])).
% 0.32/0.56 tff(462,plain,
% 0.32/0.56 (![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))),
% 0.32/0.56 inference(modus_ponens,[status(thm)],[461, 454])).
% 0.32/0.56 tff(463,plain,
% 0.32/0.56 (![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))),
% 0.32/0.56 inference(modus_ponens,[status(thm)],[462, 452])).
% 0.32/0.56 tff(464,plain,
% 0.32/0.56 (((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | ((~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_0(E!2))))) <=> ((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_0(E!2))))),
% 0.32/0.56 inference(rewrite,[status(thm)],[])).
% 0.32/0.56 tff(465,plain,
% 0.32/0.56 (((~greater(equilibrium(E!2), tptp_fun_T_0(E!2))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2)))) <=> ((~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_0(E!2))))),
% 0.32/0.56 inference(rewrite,[status(thm)],[])).
% 0.32/0.56 tff(466,plain,
% 0.32/0.56 (((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | ((~greater(equilibrium(E!2), tptp_fun_T_0(E!2))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))))) <=> ((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | ((~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_0(E!2)))))),
% 0.32/0.56 inference(monotonicity,[status(thm)],[465])).
% 0.32/0.56 tff(467,plain,
% 0.32/0.56 (((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | ((~greater(equilibrium(E!2), tptp_fun_T_0(E!2))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))))) <=> ((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_0(E!2))))),
% 0.32/0.56 inference(transitivity,[status(thm)],[466, 464])).
% 0.32/0.56 tff(468,plain,
% 0.32/0.56 ((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | ((~greater(equilibrium(E!2), tptp_fun_T_0(E!2))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))))),
% 0.32/0.56 inference(quant_inst,[status(thm)],[])).
% 0.32/0.56 tff(469,plain,
% 0.32/0.56 ((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_0(E!2)))),
% 0.32/0.56 inference(modus_ponens,[status(thm)],[468, 467])).
% 0.32/0.56 tff(470,plain,
% 0.32/0.56 (~greater(equilibrium(E!2), tptp_fun_T_0(E!2))),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[469, 463, 11, 450])).
% 0.32/0.56 tff(471,plain,
% 0.32/0.56 (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.56 inference(modus_ponens,[status(thm)],[470, 448])).
% 0.32/0.56 tff(472,plain,
% 0.32/0.56 ($false),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[400, 471])).
% 0.32/0.56 tff(473,plain,((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(tptp_fun_T_0(E!2), equilibrium(E!2)))), inference(lemma,lemma(discharge,[]))).
% 0.32/0.56 tff(474,plain,
% 0.32/0.56 (~greater(tptp_fun_T_0(E!2), equilibrium(E!2))),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[473, 400])).
% 0.32/0.56 tff(475,plain,
% 0.32/0.56 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2)) <=> ((tptp_fun_T_0(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_0(E!2), equilibrium(E!2))))),
% 0.32/0.56 inference(quant_inst,[status(thm)],[])).
% 0.32/0.56 tff(476,plain,
% 0.32/0.56 (greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2)) <=> ((tptp_fun_T_0(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_0(E!2), equilibrium(E!2)))),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[475, 134])).
% 0.32/0.56 tff(477,plain,
% 0.32/0.56 ((~(greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2)) <=> ((tptp_fun_T_0(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_0(E!2), equilibrium(E!2))))) | (~greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2))) | ((tptp_fun_T_0(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_0(E!2), equilibrium(E!2)))),
% 0.32/0.56 inference(tautology,[status(thm)],[])).
% 0.32/0.56 tff(478,plain,
% 0.32/0.56 ((~(greater_or_equal(tptp_fun_T_0(E!2), equilibrium(E!2)) <=> ((tptp_fun_T_0(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_0(E!2), equilibrium(E!2))))) | ((tptp_fun_T_0(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_0(E!2), equilibrium(E!2)))),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[477, 450])).
% 0.32/0.56 tff(479,plain,
% 0.32/0.56 ((tptp_fun_T_0(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_0(E!2), equilibrium(E!2))),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[478, 476])).
% 0.32/0.56 tff(480,plain,
% 0.32/0.56 ((~((tptp_fun_T_0(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_0(E!2), equilibrium(E!2)))) | (tptp_fun_T_0(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_0(E!2), equilibrium(E!2))),
% 0.32/0.56 inference(tautology,[status(thm)],[])).
% 0.32/0.56 tff(481,plain,
% 0.32/0.56 ((tptp_fun_T_0(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_0(E!2), equilibrium(E!2))),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[480, 479])).
% 0.32/0.56 tff(482,plain,
% 0.32/0.56 (tptp_fun_T_0(E!2) = equilibrium(E!2)),
% 0.32/0.56 inference(unit_resolution,[status(thm)],[481, 474])).
% 0.32/0.56 tff(483,plain,
% 0.32/0.56 (equilibrium(E!2) = tptp_fun_T_0(E!2)),
% 0.32/0.56 inference(symmetry,[status(thm)],[482])).
% 0.32/0.56 tff(484,plain,
% 0.32/0.56 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), equilibrium(E!2)) <=> greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2))),
% 0.32/0.56 inference(monotonicity,[status(thm)],[483])).
% 0.32/0.56 tff(485,plain,
% 0.32/0.56 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)) <=> greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), equilibrium(E!2))),
% 0.32/0.56 inference(symmetry,[status(thm)],[484])).
% 0.32/0.56 tff(486,plain,
% 0.32/0.56 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), equilibrium(E!2))),
% 0.32/0.56 inference(modus_ponens,[status(thm)],[439, 485])).
% 0.32/0.56 tff(487,plain,
% 0.32/0.56 (((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | ((~environment(E!2)) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), equilibrium(E!2))))) <=> ((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | (~environment(E!2)) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), equilibrium(E!2))))),
% 0.32/0.56 inference(rewrite,[status(thm)],[])).
% 0.32/0.56 tff(488,plain,
% 0.32/0.56 (((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), equilibrium(E!2)))) <=> ((~environment(E!2)) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), equilibrium(E!2))))),
% 0.32/0.56 inference(rewrite,[status(thm)],[])).
% 0.32/0.56 tff(489,plain,
% 0.32/0.56 (((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | ((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), equilibrium(E!2))))) <=> ((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | ((~environment(E!2)) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), equilibrium(E!2)))))),
% 0.32/0.57 inference(monotonicity,[status(thm)],[488])).
% 0.32/0.57 tff(490,plain,
% 0.32/0.57 (((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | ((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), equilibrium(E!2))))) <=> ((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | (~environment(E!2)) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), equilibrium(E!2))))),
% 0.32/0.57 inference(transitivity,[status(thm)],[489, 487])).
% 0.32/0.57 tff(491,plain,
% 0.32/0.57 ((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | ((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), equilibrium(E!2))))),
% 0.32/0.57 inference(quant_inst,[status(thm)],[])).
% 0.32/0.57 tff(492,plain,
% 0.32/0.57 ((~![E: $i, T: $i] : ((~greater(equilibrium(E), T)) | (~environment(E)) | (~greater_or_equal(T, equilibrium(E))))) | (~environment(E!2)) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), equilibrium(E!2)))),
% 0.32/0.57 inference(modus_ponens,[status(thm)],[491, 490])).
% 0.32/0.57 tff(493,plain,
% 0.32/0.57 (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), equilibrium(E!2))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[492, 463, 11, 400])).
% 0.32/0.57 tff(494,plain,
% 0.32/0.57 ($false),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[493, 486])).
% 0.32/0.57 tff(495,plain,(~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))), inference(lemma,lemma(discharge,[]))).
% 0.32/0.57 tff(496,plain,
% 0.32/0.57 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.57 inference(rewrite,[status(thm)],[])).
% 0.32/0.57 tff(497,plain,
% 0.32/0.57 ((greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2))))) <=> (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.57 inference(rewrite,[status(thm)],[])).
% 0.32/0.57 tff(498,plain,
% 0.32/0.57 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.32/0.57 inference(monotonicity,[status(thm)],[497])).
% 0.32/0.57 tff(499,plain,
% 0.32/0.57 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.57 inference(transitivity,[status(thm)],[498, 496])).
% 0.32/0.57 tff(500,plain,
% 0.32/0.57 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))))),
% 0.32/0.57 inference(quant_inst,[status(thm)],[])).
% 0.32/0.57 tff(501,plain,
% 0.32/0.57 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.57 inference(modus_ponens,[status(thm)],[500, 499])).
% 0.32/0.57 tff(502,plain,
% 0.32/0.57 ($false),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[501, 271, 495, 399, 398])).
% 0.32/0.57 tff(503,plain,((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_To_1(E!2)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2))))), inference(lemma,lemma(discharge,[]))).
% 0.32/0.57 tff(504,plain,
% 0.32/0.57 (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[503, 397])).
% 0.32/0.57 tff(505,plain,
% 0.32/0.57 ((tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))) <=> (tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2))),
% 0.32/0.57 inference(commutativity,[status(thm)],[])).
% 0.32/0.57 tff(506,plain,
% 0.32/0.57 ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) <=> (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.57 inference(symmetry,[status(thm)],[505])).
% 0.32/0.57 tff(507,plain,
% 0.32/0.57 ((~(tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2))) <=> (~(tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.57 inference(monotonicity,[status(thm)],[506])).
% 0.32/0.57 tff(508,plain,
% 0.32/0.57 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))),
% 0.32/0.57 inference(quant_inst,[status(thm)],[])).
% 0.32/0.57 tff(509,plain,
% 0.32/0.57 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[508, 134])).
% 0.32/0.57 tff(510,plain,
% 0.32/0.57 ((outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)))) | subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.57 inference(tautology,[status(thm)],[])).
% 0.32/0.57 tff(511,plain,
% 0.32/0.57 (subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[510, 437])).
% 0.32/0.57 tff(512,plain,
% 0.32/0.57 (((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) <=> ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.57 inference(rewrite,[status(thm)],[])).
% 0.32/0.57 tff(513,plain,
% 0.32/0.57 ((in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) <=> ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.57 inference(rewrite,[status(thm)],[])).
% 0.32/0.57 tff(514,plain,
% 0.32/0.57 (((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.57 inference(monotonicity,[status(thm)],[513])).
% 0.32/0.57 tff(515,plain,
% 0.32/0.57 (((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.57 inference(transitivity,[status(thm)],[514, 512])).
% 0.32/0.57 tff(516,plain,
% 0.32/0.57 ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.57 inference(quant_inst,[status(thm)],[])).
% 0.32/0.57 tff(517,plain,
% 0.32/0.57 ((~![E: $i, T: $i] : (in_environment(E, T) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.57 inference(modus_ponens,[status(thm)],[516, 515])).
% 0.32/0.57 tff(518,plain,
% 0.32/0.57 (in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[517, 59, 11, 511])).
% 0.32/0.57 tff(519,plain,
% 0.32/0.57 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.32/0.57 inference(rewrite,[status(thm)],[])).
% 0.32/0.57 tff(520,plain,
% 0.32/0.57 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.32/0.57 inference(quant_inst,[status(thm)],[])).
% 0.32/0.57 tff(521,plain,
% 0.32/0.57 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~subpopulation(first_movers, E, T)) | (~subpopulation(efficient_producers, E, T)))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.32/0.57 inference(modus_ponens,[status(thm)],[520, 519])).
% 0.32/0.57 tff(522,plain,
% 0.32/0.57 (~((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[521, 79, 11, 518])).
% 0.32/0.57 tff(523,plain,
% 0.32/0.57 (((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.57 inference(tautology,[status(thm)],[])).
% 0.32/0.57 tff(524,plain,
% 0.32/0.57 (subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.57 inference(unit_resolution,[status(thm)],[523, 522])).
% 0.32/0.57 tff(525,plain,
% 0.32/0.57 (((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.32/0.57 inference(rewrite,[status(thm)],[])).
% 0.32/0.57 tff(526,plain,
% 0.32/0.57 (((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | $false) <=> ((~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.32/0.57 inference(rewrite,[status(thm)],[])).
% 0.32/0.57 tff(527,plain,
% 0.32/0.57 (((efficient_producers = first_movers) | $true | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) <=> $true),
% 0.32/0.57 inference(rewrite,[status(thm)],[])).
% 0.32/0.57 tff(528,plain,
% 0.32/0.57 (((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) <=> ((efficient_producers = first_movers) | $true | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))),
% 0.32/0.57 inference(monotonicity,[status(thm)],[103])).
% 0.32/0.57 tff(529,plain,
% 0.32/0.57 (((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) <=> $true),
% 0.32/0.57 inference(transitivity,[status(thm)],[528, 527])).
% 0.32/0.57 tff(530,plain,
% 0.32/0.57 ((~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))) <=> (~$true)),
% 0.32/0.57 inference(monotonicity,[status(thm)],[529])).
% 0.32/0.57 tff(531,plain,
% 0.32/0.57 ((~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))) <=> $false),
% 0.32/0.57 inference(transitivity,[status(thm)],[530, 101])).
% 0.32/0.57 tff(532,plain,
% 0.32/0.57 (((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))))) <=> ((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | $false)),
% 0.32/0.57 inference(monotonicity,[status(thm)],[531])).
% 0.32/0.57 tff(533,plain,
% 0.32/0.57 (((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))))) <=> ((~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.32/0.57 inference(transitivity,[status(thm)],[532, 526])).
% 0.32/0.57 tff(534,plain,
% 0.32/0.57 (((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))))) <=> ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.32/0.57 inference(monotonicity,[status(thm)],[533])).
% 0.32/0.57 tff(535,plain,
% 0.32/0.57 (((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))))) <=> ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.32/0.58 inference(transitivity,[status(thm)],[534, 525])).
% 0.32/0.58 tff(536,plain,
% 0.32/0.58 ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | ((number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((efficient_producers = first_movers) | (efficient_producers = efficient_producers) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))))),
% 0.32/0.58 inference(quant_inst,[status(thm)],[])).
% 0.32/0.58 tff(537,plain,
% 0.32/0.58 ((~![E: $i, X: $i, T: $i] : ((number_of_organizations(E, T) = sum(cardinality_at_time(first_movers, T), cardinality_at_time(efficient_producers, T))) | (~environment(E)) | (~subpopulation(X, E, T)) | (~((X = first_movers) | (X = efficient_producers) | (~greater(cardinality_at_time(X, T), zero)))))) | (~environment(E!2)) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.58 inference(modus_ponens,[status(thm)],[536, 535])).
% 0.32/0.58 tff(538,plain,
% 0.32/0.58 (number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))) = sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.58 inference(unit_resolution,[status(thm)],[537, 98, 11, 524])).
% 0.32/0.58 tff(539,plain,
% 0.32/0.58 (sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) = number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.58 inference(symmetry,[status(thm)],[538])).
% 0.32/0.58 tff(540,plain,
% 0.32/0.58 (constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) <=> constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.58 inference(monotonicity,[status(thm)],[539])).
% 0.32/0.58 tff(541,plain,
% 0.32/0.58 (constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) <=> constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.58 inference(symmetry,[status(thm)],[540])).
% 0.32/0.58 tff(542,plain,
% 0.32/0.58 (((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) <=> ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))),
% 0.32/0.58 inference(rewrite,[status(thm)],[])).
% 0.32/0.58 tff(543,plain,
% 0.32/0.58 ((greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) <=> ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))),
% 0.32/0.58 inference(rewrite,[status(thm)],[])).
% 0.32/0.58 tff(544,plain,
% 0.32/0.58 (((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))),
% 0.32/0.58 inference(monotonicity,[status(thm)],[543])).
% 0.32/0.58 tff(545,plain,
% 0.32/0.58 (((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))),
% 0.32/0.58 inference(transitivity,[status(thm)],[544, 542])).
% 0.32/0.58 tff(546,plain,
% 0.32/0.58 ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.58 inference(quant_inst,[status(thm)],[])).
% 0.32/0.58 tff(547,plain,
% 0.32/0.58 ((~![E: $i, T: $i] : (greater(number_of_organizations(E, T), zero) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.32/0.58 inference(modus_ponens,[status(thm)],[546, 545])).
% 0.32/0.58 tff(548,plain,
% 0.32/0.58 (greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.32/0.58 inference(unit_resolution,[status(thm)],[547, 365, 11, 511])).
% 0.32/0.58 tff(549,plain,
% 0.32/0.58 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.32/0.58 inference(rewrite,[status(thm)],[])).
% 0.32/0.58 tff(550,plain,
% 0.32/0.58 (((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))) <=> ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.32/0.58 inference(rewrite,[status(thm)],[])).
% 0.32/0.58 tff(551,plain,
% 0.32/0.58 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))),
% 0.32/0.58 inference(monotonicity,[status(thm)],[550])).
% 0.32/0.58 tff(552,plain,
% 0.32/0.58 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.32/0.58 inference(transitivity,[status(thm)],[551, 549])).
% 0.32/0.58 tff(553,plain,
% 0.32/0.58 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))),
% 0.32/0.58 inference(quant_inst,[status(thm)],[])).
% 0.32/0.58 tff(554,plain,
% 0.32/0.58 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~greater(number_of_organizations(E, T), zero)) | (~((~((~greater(equilibrium(E), T)) | decreases(resources(E, T)))) | (~(greater(equilibrium(E), T) | constant(resources(E, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.32/0.58 inference(modus_ponens,[status(thm)],[553, 552])).
% 0.32/0.58 tff(555,plain,
% 0.32/0.58 (~((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.32/0.58 inference(unit_resolution,[status(thm)],[554, 385, 11, 518, 548])).
% 0.32/0.58 tff(556,plain,
% 0.32/0.58 (((~(decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.58 inference(tautology,[status(thm)],[])).
% 0.32/0.58 tff(557,plain,
% 0.32/0.58 (constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.58 inference(unit_resolution,[status(thm)],[556, 555])).
% 0.32/0.58 tff(558,plain,
% 0.32/0.58 ((~(constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))) | constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.58 inference(tautology,[status(thm)],[])).
% 0.32/0.58 tff(559,plain,
% 0.32/0.58 (constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(equilibrium(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.58 inference(unit_resolution,[status(thm)],[558, 557])).
% 0.32/0.58 tff(560,plain,
% 0.32/0.58 (constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.58 inference(unit_resolution,[status(thm)],[559, 495])).
% 0.32/0.58 tff(561,plain,
% 0.32/0.58 (((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))))),
% 0.32/0.58 inference(rewrite,[status(thm)],[])).
% 0.32/0.58 tff(562,plain,
% 0.32/0.58 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))))),
% 0.32/0.58 inference(quant_inst,[status(thm)],[])).
% 0.32/0.58 tff(563,plain,
% 0.32/0.58 ((~![E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~((~((~decreases(number_of_organizations(E, T))) | (~decreases(resources(E, T))))) | (~(constant(number_of_organizations(E, T)) | (~constant(resources(E, T))))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))),
% 0.32/0.58 inference(modus_ponens,[status(thm)],[562, 561])).
% 0.32/0.59 tff(564,plain,
% 0.32/0.59 (~((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.32/0.59 inference(unit_resolution,[status(thm)],[563, 343, 11, 518])).
% 0.32/0.59 tff(565,plain,
% 0.32/0.59 (((~((~decreases(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))) | (constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.32/0.59 inference(tautology,[status(thm)],[])).
% 0.32/0.59 tff(566,plain,
% 0.32/0.59 (constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.59 inference(unit_resolution,[status(thm)],[565, 564])).
% 0.32/0.59 tff(567,plain,
% 0.32/0.59 ((~(constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.59 inference(tautology,[status(thm)],[])).
% 0.32/0.59 tff(568,plain,
% 0.32/0.59 (constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~constant(resources(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.59 inference(unit_resolution,[status(thm)],[567, 566])).
% 0.32/0.59 tff(569,plain,
% 0.32/0.59 (constant(number_of_organizations(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.59 inference(unit_resolution,[status(thm)],[568, 560])).
% 0.32/0.59 tff(570,plain,
% 0.32/0.59 (constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.59 inference(modus_ponens,[status(thm)],[569, 541])).
% 0.32/0.59 tff(571,assumption,(constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))), introduced(assumption)).
% 0.32/0.59 tff(572,assumption,(~(greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))), introduced(assumption)).
% 0.32/0.59 tff(573,plain,
% 0.32/0.59 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))),
% 0.32/0.59 inference(quant_inst,[status(thm)],[])).
% 0.32/0.59 tff(574,plain,
% 0.32/0.59 ($false),
% 0.32/0.59 inference(unit_resolution,[status(thm)],[573, 134, 572])).
% 0.32/0.59 tff(575,plain,(greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))), inference(lemma,lemma(discharge,[]))).
% 0.32/0.59 tff(576,assumption,(~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))), introduced(assumption)).
% 0.32/0.59 tff(577,plain,
% 0.32/0.59 (((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.59 inference(tautology,[status(thm)],[])).
% 0.32/0.59 tff(578,plain,
% 0.32/0.59 (decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.59 inference(unit_resolution,[status(thm)],[577, 576])).
% 0.32/0.59 tff(579,plain,
% 0.32/0.59 (((~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.59 inference(tautology,[status(thm)],[])).
% 0.32/0.59 tff(580,plain,
% 0.32/0.59 (subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.59 inference(unit_resolution,[status(thm)],[579, 522])).
% 0.32/0.59 tff(581,plain,
% 0.32/0.59 (((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))))) <=> ((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))))),
% 0.32/0.59 inference(rewrite,[status(thm)],[])).
% 0.32/0.59 tff(582,plain,
% 0.32/0.59 ((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))))),
% 0.32/0.59 inference(quant_inst,[status(thm)],[])).
% 0.32/0.59 tff(583,plain,
% 0.32/0.59 ((~![E: $i, T: $i] : ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~((~greater(cardinality_at_time(first_movers, T), zero)) | (~greater(cardinality_at_time(efficient_producers, T), zero)))))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))))),
% 0.32/0.59 inference(modus_ponens,[status(thm)],[582, 581])).
% 0.32/0.59 tff(584,plain,
% 0.32/0.59 (~((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))),
% 0.32/0.59 inference(unit_resolution,[status(thm)],[583, 192, 11, 511])).
% 0.32/0.59 tff(585,plain,
% 0.32/0.59 (((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.32/0.59 inference(tautology,[status(thm)],[])).
% 0.32/0.59 tff(586,plain,
% 0.32/0.59 (greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.32/0.59 inference(unit_resolution,[status(thm)],[585, 584])).
% 0.32/0.59 tff(587,plain,
% 0.32/0.59 (((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))) <=> ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))),
% 0.32/0.59 inference(rewrite,[status(thm)],[])).
% 0.32/0.59 tff(588,plain,
% 0.32/0.59 ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))),
% 0.32/0.59 inference(quant_inst,[status(thm)],[])).
% 0.32/0.59 tff(589,plain,
% 0.32/0.59 ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(first_movers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.32/0.59 inference(modus_ponens,[status(thm)],[588, 587])).
% 0.32/0.59 tff(590,plain,
% 0.32/0.59 (~((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.32/0.59 inference(unit_resolution,[status(thm)],[589, 211, 11, 586, 518, 580])).
% 0.32/0.59 tff(591,plain,
% 0.32/0.59 (((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | ((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.59 inference(tautology,[status(thm)],[])).
% 0.32/0.59 tff(592,plain,
% 0.32/0.59 ((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.59 inference(unit_resolution,[status(thm)],[591, 590])).
% 0.32/0.59 tff(593,plain,
% 0.32/0.59 ((~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.59 inference(tautology,[status(thm)],[])).
% 0.32/0.59 tff(594,plain,
% 0.32/0.59 ((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.59 inference(unit_resolution,[status(thm)],[593, 592])).
% 0.32/0.59 tff(595,plain,
% 0.32/0.59 (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.59 inference(unit_resolution,[status(thm)],[594, 578])).
% 0.32/0.59 tff(596,plain,
% 0.32/0.59 (((~![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T))))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> ((~![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T))))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.32/0.59 inference(rewrite,[status(thm)],[])).
% 0.32/0.59 tff(597,plain,
% 0.32/0.59 ((~![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T))))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.32/0.59 inference(quant_inst,[status(thm)],[])).
% 0.32/0.59 tff(598,plain,
% 0.32/0.59 ((~![E: $i, S1: $i, S2: $i, T: $i] : ((~environment(E)) | (~subpopulations(S1, S2, E, T)) | (~(((~greater_or_equal(growth_rate(S2, T), zero)) | (~greater(zero, growth_rate(S1, T)))) <=> outcompetes(S2, S1, T))))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.59 inference(modus_ponens,[status(thm)],[597, 596])).
% 0.32/0.59 tff(599,plain,
% 0.32/0.59 (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.59 inference(unit_resolution,[status(thm)],[598, 153, 11, 511])).
% 0.32/0.59 tff(600,plain,
% 0.32/0.59 ((outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_T_0(E!2)))) | (~outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.59 inference(tautology,[status(thm)],[])).
% 0.32/0.59 tff(601,plain,
% 0.32/0.59 (~outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.59 inference(unit_resolution,[status(thm)],[600, 437])).
% 0.32/0.59 tff(602,plain,
% 0.32/0.59 ((((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.60 inference(tautology,[status(thm)],[])).
% 0.32/0.60 tff(603,plain,
% 0.32/0.60 ((((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[602, 601])).
% 0.32/0.60 tff(604,plain,
% 0.32/0.60 ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[603, 599])).
% 0.32/0.60 tff(605,plain,
% 0.32/0.60 ((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.60 inference(tautology,[status(thm)],[])).
% 0.32/0.60 tff(606,plain,
% 0.32/0.60 ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[605, 604])).
% 0.32/0.60 tff(607,plain,
% 0.32/0.60 (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[606, 595])).
% 0.32/0.60 tff(608,plain,
% 0.32/0.60 (((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.60 inference(tautology,[status(thm)],[])).
% 0.32/0.60 tff(609,plain,
% 0.32/0.60 (increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[608, 576])).
% 0.32/0.60 tff(610,plain,
% 0.32/0.60 (((~greater(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.32/0.60 inference(tautology,[status(thm)],[])).
% 0.32/0.60 tff(611,plain,
% 0.32/0.60 (greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[610, 584])).
% 0.32/0.60 tff(612,plain,
% 0.32/0.60 (((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))) <=> ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))),
% 0.32/0.60 inference(rewrite,[status(thm)],[])).
% 0.32/0.60 tff(613,plain,
% 0.32/0.60 ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | ((~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))),
% 0.32/0.60 inference(quant_inst,[status(thm)],[])).
% 0.32/0.60 tff(614,plain,
% 0.32/0.60 ((~![X: $i, E: $i, T: $i] : ((~environment(E)) | (~in_environment(E, T)) | (~subpopulation(X, E, T)) | (~greater(cardinality_at_time(X, T), zero)) | (~((~((~constant(cardinality_at_time(X, T))) | (growth_rate(X, T) = zero))) | (~((~increases(cardinality_at_time(X, T))) | greater(growth_rate(X, T), zero))) | (~((~decreases(cardinality_at_time(X, T))) | greater(zero, growth_rate(X, T)))))))) | (~environment(E!2)) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulation(efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.32/0.60 inference(modus_ponens,[status(thm)],[613, 612])).
% 0.32/0.60 tff(615,plain,
% 0.32/0.60 (~((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[614, 211, 11, 611, 518, 524])).
% 0.32/0.60 tff(616,plain,
% 0.32/0.60 (((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | ((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))),
% 0.32/0.60 inference(tautology,[status(thm)],[])).
% 0.32/0.60 tff(617,plain,
% 0.32/0.60 ((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[616, 615])).
% 0.32/0.60 tff(618,plain,
% 0.32/0.60 ((~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.32/0.60 inference(tautology,[status(thm)],[])).
% 0.32/0.60 tff(619,plain,
% 0.32/0.60 ((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[618, 617])).
% 0.32/0.60 tff(620,plain,
% 0.32/0.60 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[619, 609])).
% 0.32/0.60 tff(621,plain,
% 0.32/0.60 (((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))),
% 0.32/0.60 inference(tautology,[status(thm)],[])).
% 0.32/0.60 tff(622,plain,
% 0.32/0.60 ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[621, 620])).
% 0.32/0.60 tff(623,plain,
% 0.32/0.60 ((~(greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))) | greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero) | (~((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))),
% 0.32/0.60 inference(tautology,[status(thm)],[])).
% 0.32/0.60 tff(624,plain,
% 0.32/0.60 ($false),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[623, 622, 607, 575])).
% 0.32/0.60 tff(625,plain,((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))), inference(lemma,lemma(discharge,[]))).
% 0.32/0.60 tff(626,assumption,(greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))), introduced(assumption)).
% 0.32/0.60 tff(627,plain,
% 0.32/0.60 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.32/0.60 inference(rewrite,[status(thm)],[])).
% 0.32/0.60 tff(628,plain,
% 0.32/0.60 (((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> ((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.32/0.60 inference(rewrite,[status(thm)],[])).
% 0.32/0.60 tff(629,plain,
% 0.32/0.60 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.32/0.60 inference(monotonicity,[status(thm)],[628])).
% 0.32/0.60 tff(630,plain,
% 0.32/0.60 (((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.32/0.60 inference(transitivity,[status(thm)],[629, 627])).
% 0.32/0.60 tff(631,plain,
% 0.32/0.60 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | ((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.32/0.60 inference(quant_inst,[status(thm)],[])).
% 0.32/0.60 tff(632,plain,
% 0.32/0.60 ((~![X: $i, Y: $i] : ((~greater(X, Y)) | (~greater(Y, X)))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.60 inference(modus_ponens,[status(thm)],[631, 630])).
% 0.32/0.60 tff(633,plain,
% 0.32/0.60 (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[632, 255, 626])).
% 0.32/0.60 tff(634,assumption,(~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))), introduced(assumption)).
% 0.32/0.60 tff(635,assumption,(~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))), introduced(assumption)).
% 0.32/0.60 tff(636,plain,
% 0.32/0.60 (((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.60 inference(tautology,[status(thm)],[])).
% 0.32/0.60 tff(637,plain,
% 0.32/0.60 (increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[636, 635])).
% 0.32/0.60 tff(638,plain,
% 0.32/0.60 (((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | ((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))),
% 0.32/0.60 inference(tautology,[status(thm)],[])).
% 0.32/0.60 tff(639,plain,
% 0.32/0.60 ((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[638, 590])).
% 0.32/0.60 tff(640,plain,
% 0.32/0.60 ((~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.32/0.60 inference(tautology,[status(thm)],[])).
% 0.32/0.60 tff(641,plain,
% 0.32/0.60 ((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[640, 639])).
% 0.32/0.60 tff(642,plain,
% 0.32/0.60 (greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[641, 637])).
% 0.32/0.60 tff(643,plain,
% 0.32/0.60 (((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.60 inference(tautology,[status(thm)],[])).
% 0.32/0.60 tff(644,plain,
% 0.32/0.60 (decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[643, 635])).
% 0.32/0.60 tff(645,plain,
% 0.32/0.60 (((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | ((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.60 inference(tautology,[status(thm)],[])).
% 0.32/0.60 tff(646,plain,
% 0.32/0.60 ((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.60 inference(unit_resolution,[status(thm)],[645, 615])).
% 0.32/0.60 tff(647,plain,
% 0.32/0.60 ((~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.60 inference(tautology,[status(thm)],[])).
% 0.32/0.60 tff(648,plain,
% 0.32/0.60 ((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.61 inference(unit_resolution,[status(thm)],[647, 646])).
% 0.32/0.61 tff(649,plain,
% 0.32/0.61 (greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.61 inference(unit_resolution,[status(thm)],[648, 644])).
% 0.32/0.61 tff(650,plain,
% 0.32/0.61 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.61 inference(rewrite,[status(thm)],[])).
% 0.32/0.61 tff(651,plain,
% 0.32/0.61 ((greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) <=> ((~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.61 inference(rewrite,[status(thm)],[])).
% 0.32/0.61 tff(652,plain,
% 0.32/0.61 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.32/0.61 inference(monotonicity,[status(thm)],[651])).
% 0.32/0.61 tff(653,plain,
% 0.32/0.61 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.61 inference(transitivity,[status(thm)],[652, 650])).
% 0.32/0.61 tff(654,plain,
% 0.32/0.61 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)))),
% 0.32/0.61 inference(quant_inst,[status(thm)],[])).
% 0.32/0.61 tff(655,plain,
% 0.32/0.61 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.61 inference(modus_ponens,[status(thm)],[654, 653])).
% 0.32/0.61 tff(656,plain,
% 0.32/0.61 ($false),
% 0.32/0.61 inference(unit_resolution,[status(thm)],[655, 271, 649, 642, 634])).
% 0.32/0.61 tff(657,plain,(((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))), inference(lemma,lemma(discharge,[]))).
% 0.32/0.61 tff(658,plain,
% 0.32/0.61 ((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.61 inference(unit_resolution,[status(thm)],[657, 633])).
% 0.32/0.61 tff(659,plain,
% 0.32/0.61 (((~![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))) | ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))) <=> ((~![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.32/0.61 inference(rewrite,[status(thm)],[])).
% 0.32/0.61 tff(660,plain,
% 0.32/0.61 (((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))) <=> ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.32/0.61 inference(rewrite,[status(thm)],[])).
% 0.32/0.61 tff(661,plain,
% 0.32/0.61 ((~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.32/0.61 inference(rewrite,[status(thm)],[])).
% 0.32/0.61 tff(662,plain,
% 0.32/0.61 ((~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) <=> (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.32/0.61 inference(rewrite,[status(thm)],[])).
% 0.32/0.61 tff(663,plain,
% 0.32/0.61 (((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))) <=> ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.32/0.61 inference(monotonicity,[status(thm)],[662, 661])).
% 0.32/0.61 tff(664,plain,
% 0.32/0.61 (((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))) <=> ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.32/0.61 inference(transitivity,[status(thm)],[663, 660])).
% 0.32/0.61 tff(665,plain,
% 0.32/0.61 (((~![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))) | ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))) <=> ((~![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))) | ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))))),
% 0.32/0.61 inference(monotonicity,[status(thm)],[664])).
% 0.32/0.61 tff(666,plain,
% 0.32/0.61 (((~![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))) | ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))) <=> ((~![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.32/0.61 inference(transitivity,[status(thm)],[665, 659])).
% 0.32/0.61 tff(667,plain,
% 0.32/0.61 ((~![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))) | ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))))),
% 0.32/0.61 inference(quant_inst,[status(thm)],[])).
% 0.32/0.61 tff(668,plain,
% 0.32/0.61 ((~![B: $i, C: $i] : ((~constant(sum(B, C))) | (~((~decreases(B)) | (~increases(C)))) | (~((~increases(B)) | (~decreases(C)))) | (~((~constant(B)) | (~constant(C)))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.32/0.61 inference(modus_ponens,[status(thm)],[667, 666])).
% 0.32/0.61 tff(669,plain,
% 0.32/0.61 ((~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | (~((~decreases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~increases(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))))),
% 0.32/0.61 inference(unit_resolution,[status(thm)],[668, 316])).
% 0.32/0.61 tff(670,plain,
% 0.32/0.61 (~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.32/0.61 inference(unit_resolution,[status(thm)],[669, 658, 625, 571])).
% 0.32/0.61 tff(671,plain,
% 0.32/0.61 (((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))) | constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.61 inference(tautology,[status(thm)],[])).
% 0.32/0.61 tff(672,plain,
% 0.32/0.61 (constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.61 inference(unit_resolution,[status(thm)],[671, 670])).
% 0.32/0.61 tff(673,plain,
% 0.32/0.61 (((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~((~increases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero))) | (~((~decreases(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))) | ((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))),
% 0.32/0.61 inference(tautology,[status(thm)],[])).
% 0.32/0.61 tff(674,plain,
% 0.32/0.61 ((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero)),
% 0.32/0.61 inference(unit_resolution,[status(thm)],[673, 615])).
% 0.32/0.61 tff(675,plain,
% 0.32/0.61 ((~((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))) | (~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero)),
% 0.32/0.61 inference(tautology,[status(thm)],[])).
% 0.32/0.61 tff(676,plain,
% 0.32/0.61 ((~constant(cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero)),
% 0.32/0.61 inference(unit_resolution,[status(thm)],[675, 674])).
% 0.32/0.61 tff(677,plain,
% 0.32/0.61 (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero),
% 0.32/0.61 inference(unit_resolution,[status(thm)],[676, 672])).
% 0.32/0.61 tff(678,plain,
% 0.32/0.61 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) <=> greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.61 inference(monotonicity,[status(thm)],[677])).
% 0.32/0.61 tff(679,plain,
% 0.32/0.61 (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) <=> greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.61 inference(symmetry,[status(thm)],[678])).
% 0.32/0.61 tff(680,plain,
% 0.32/0.61 ((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) <=> (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.61 inference(monotonicity,[status(thm)],[679])).
% 0.32/0.61 tff(681,plain,
% 0.32/0.61 (((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero))),
% 0.32/0.61 inference(tautology,[status(thm)],[])).
% 0.32/0.61 tff(682,plain,
% 0.32/0.61 ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.32/0.61 inference(unit_resolution,[status(thm)],[681, 677])).
% 0.32/0.61 tff(683,plain,
% 0.32/0.61 (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), zero)),
% 0.32/0.61 inference(unit_resolution,[status(thm)],[623, 682, 575])).
% 0.32/0.61 tff(684,plain,
% 0.32/0.61 (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.61 inference(unit_resolution,[status(thm)],[606, 683])).
% 0.32/0.61 tff(685,plain,
% 0.32/0.61 (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.61 inference(modus_ponens,[status(thm)],[684, 680])).
% 0.32/0.61 tff(686,plain,
% 0.32/0.61 ($false),
% 0.32/0.61 inference(unit_resolution,[status(thm)],[626, 685])).
% 0.32/0.61 tff(687,plain,((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))) | (~constant(sum(cardinality_at_time(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))), cardinality_at_time(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))))))), inference(lemma,lemma(discharge,[]))).
% 0.32/0.61 tff(688,plain,
% 0.32/0.61 (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.61 inference(unit_resolution,[status(thm)],[687, 570])).
% 0.32/0.61 tff(689,plain,
% 0.32/0.61 (((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))) <=> ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))),
% 0.32/0.62 inference(rewrite,[status(thm)],[])).
% 0.32/0.62 tff(690,plain,
% 0.32/0.62 ((greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)))) <=> ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))),
% 0.32/0.62 inference(rewrite,[status(thm)],[])).
% 0.32/0.62 tff(691,plain,
% 0.32/0.62 (((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))) <=> ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)))))),
% 0.32/0.62 inference(monotonicity,[status(thm)],[690])).
% 0.32/0.62 tff(692,plain,
% 0.32/0.62 (((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))) <=> ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))),
% 0.32/0.62 inference(transitivity,[status(thm)],[691, 689])).
% 0.32/0.62 tff(693,plain,
% 0.32/0.62 ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))),
% 0.32/0.62 inference(quant_inst,[status(thm)],[])).
% 0.32/0.62 tff(694,plain,
% 0.32/0.62 ((~![T: $i] : (greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)) | (~subpopulations(first_movers, efficient_producers, E!2, T)) | (~greater_or_equal(T, tptp_fun_To_1(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)))),
% 0.32/0.62 inference(modus_ponens,[status(thm)],[693, 692])).
% 0.32/0.62 tff(695,plain,
% 0.32/0.62 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)))),
% 0.32/0.62 inference(unit_resolution,[status(thm)],[694, 170, 511])).
% 0.32/0.62 tff(696,plain,
% 0.32/0.62 (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))),
% 0.32/0.62 inference(unit_resolution,[status(thm)],[695, 688])).
% 0.32/0.62 tff(697,plain,
% 0.32/0.62 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))) | greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | (~((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))),
% 0.32/0.62 inference(tautology,[status(thm)],[])).
% 0.32/0.62 tff(698,plain,
% 0.32/0.62 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))) | (~((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))))),
% 0.32/0.62 inference(unit_resolution,[status(thm)],[697, 696])).
% 0.32/0.62 tff(699,plain,
% 0.32/0.62 (~((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)))),
% 0.32/0.62 inference(unit_resolution,[status(thm)],[698, 509])).
% 0.32/0.62 tff(700,plain,
% 0.32/0.62 (((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))) | (~(tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)))),
% 0.32/0.62 inference(tautology,[status(thm)],[])).
% 0.32/0.62 tff(701,plain,
% 0.32/0.62 (~(tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2))),
% 0.32/0.62 inference(unit_resolution,[status(thm)],[700, 699])).
% 0.32/0.62 tff(702,plain,
% 0.32/0.62 (~(tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.62 inference(modus_ponens,[status(thm)],[701, 507])).
% 0.32/0.62 tff(703,plain,
% 0.32/0.62 (((tptp_fun_T_3(tptp_fun_T_0(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)))),
% 0.32/0.62 inference(tautology,[status(thm)],[])).
% 0.32/0.62 tff(704,plain,
% 0.32/0.62 (~greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2))),
% 0.32/0.62 inference(unit_resolution,[status(thm)],[703, 699])).
% 0.32/0.62 tff(705,plain,
% 0.32/0.62 (^[E: $i, T1: $i, T2: $i] : refl((greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2))) <=> (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2))))),
% 0.32/0.62 inference(bind,[status(th)],[])).
% 0.32/0.62 tff(706,plain,
% 0.32/0.62 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2))) <=> ![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))),
% 0.32/0.62 inference(quant_intro,[status(thm)],[705])).
% 0.32/0.62 tff(707,plain,
% 0.32/0.62 (^[E: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((in_environment(E, T1) & in_environment(E, T2)) <=> (~((~in_environment(E, T1)) | (~in_environment(E, T2))))), ((~(in_environment(E, T1) & in_environment(E, T2))) <=> (~(~((~in_environment(E, T1)) | (~in_environment(E, T2))))))), rewrite((~(~((~in_environment(E, T1)) | (~in_environment(E, T2))))) <=> ((~in_environment(E, T1)) | (~in_environment(E, T2)))), ((~(in_environment(E, T1) & in_environment(E, T2))) <=> ((~in_environment(E, T1)) | (~in_environment(E, T2))))), ((greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2)))) <=> (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | ((~in_environment(E, T1)) | (~in_environment(E, T2)))))), rewrite((greater(T1, T2) | greater(T2, T1) | (T2 = T1) | ((~in_environment(E, T1)) | (~in_environment(E, T2)))) <=> (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))), ((greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2)))) <=> (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))))),
% 0.32/0.62 inference(bind,[status(th)],[])).
% 0.32/0.62 tff(708,plain,
% 0.32/0.62 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2)))) <=> ![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))),
% 0.32/0.62 inference(quant_intro,[status(thm)],[707])).
% 0.32/0.62 tff(709,plain,
% 0.32/0.62 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2)))) <=> ![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2))))),
% 0.32/0.62 inference(rewrite,[status(thm)],[])).
% 0.32/0.62 tff(710,plain,
% 0.32/0.62 (^[E: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((greater(T2, T1) | (T2 = T1)) <=> (greater(T2, T1) | (T2 = T1))), (((greater(T2, T1) | (T2 = T1)) | greater(T1, T2)) <=> ((greater(T2, T1) | (T2 = T1)) | greater(T1, T2)))), rewrite(((greater(T2, T1) | (T2 = T1)) | greater(T1, T2)) <=> (greater(T1, T2) | greater(T2, T1) | (T2 = T1))), (((greater(T2, T1) | (T2 = T1)) | greater(T1, T2)) <=> (greater(T1, T2) | greater(T2, T1) | (T2 = T1)))), (((in_environment(E, T1) & in_environment(E, T2)) => ((greater(T2, T1) | (T2 = T1)) | greater(T1, T2))) <=> ((in_environment(E, T1) & in_environment(E, T2)) => (greater(T1, T2) | greater(T2, T1) | (T2 = T1))))), rewrite(((in_environment(E, T1) & in_environment(E, T2)) => (greater(T1, T2) | greater(T2, T1) | (T2 = T1))) <=> (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2))))), (((in_environment(E, T1) & in_environment(E, T2)) => ((greater(T2, T1) | (T2 = T1)) | greater(T1, T2))) <=> (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2))))))),
% 0.32/0.62 inference(bind,[status(th)],[])).
% 0.32/0.62 tff(711,plain,
% 0.32/0.62 (![E: $i, T1: $i, T2: $i] : ((in_environment(E, T1) & in_environment(E, T2)) => ((greater(T2, T1) | (T2 = T1)) | greater(T1, T2))) <=> ![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2))))),
% 0.32/0.62 inference(quant_intro,[status(thm)],[710])).
% 0.32/0.62 tff(712,axiom,(![E: $i, T1: $i, T2: $i] : ((in_environment(E, T1) & in_environment(E, T2)) => ((greater(T2, T1) | (T2 = T1)) | greater(T1, T2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','mp_times_in_environment')).
% 0.32/0.62 tff(713,plain,
% 0.32/0.62 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2))))),
% 0.32/0.62 inference(modus_ponens,[status(thm)],[712, 711])).
% 0.32/0.62 tff(714,plain,
% 0.32/0.62 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2))))),
% 0.32/0.62 inference(modus_ponens,[status(thm)],[713, 709])).
% 0.32/0.62 tff(715,plain,(
% 0.32/0.62 ![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~(in_environment(E, T1) & in_environment(E, T2))))),
% 0.32/0.62 inference(skolemize,[status(sab)],[714])).
% 0.32/0.62 tff(716,plain,
% 0.32/0.62 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))),
% 0.32/0.62 inference(modus_ponens,[status(thm)],[715, 708])).
% 0.32/0.62 tff(717,plain,
% 0.32/0.62 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))),
% 0.32/0.62 inference(modus_ponens,[status(thm)],[716, 706])).
% 0.32/0.62 tff(718,plain,
% 0.32/0.62 (((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | ((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))))) <=> ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (~in_environment(E!2, tptp_fun_To_1(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.62 inference(rewrite,[status(thm)],[])).
% 0.32/0.62 tff(719,plain,
% 0.32/0.62 ((greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~in_environment(E!2, tptp_fun_To_1(E!2)))) <=> ((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.62 inference(rewrite,[status(thm)],[])).
% 0.32/0.62 tff(720,plain,
% 0.32/0.62 (((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~in_environment(E!2, tptp_fun_To_1(E!2))))) <=> ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | ((~in_environment(E!2, tptp_fun_To_1(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.62 inference(monotonicity,[status(thm)],[719])).
% 0.32/0.62 tff(721,plain,
% 0.32/0.62 (((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~in_environment(E!2, tptp_fun_To_1(E!2))))) <=> ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (~in_environment(E!2, tptp_fun_To_1(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.62 inference(transitivity,[status(thm)],[720, 718])).
% 0.32/0.62 tff(722,plain,
% 0.32/0.62 ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~in_environment(E!2, tptp_fun_To_1(E!2))))),
% 0.32/0.62 inference(quant_inst,[status(thm)],[])).
% 0.32/0.62 tff(723,plain,
% 0.32/0.62 ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | greater(T2, T1) | (T2 = T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (~in_environment(E!2, tptp_fun_To_1(E!2))) | (~in_environment(E!2, tptp_fun_T_3(tptp_fun_T_0(E!2)))) | greater(tptp_fun_T_3(tptp_fun_T_0(E!2)), tptp_fun_To_1(E!2)) | greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.62 inference(modus_ponens,[status(thm)],[722, 721])).
% 0.32/0.62 tff(724,plain,
% 0.32/0.62 (greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (tptp_fun_To_1(E!2) = tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.62 inference(unit_resolution,[status(thm)],[723, 717, 33, 518, 704])).
% 0.32/0.62 tff(725,plain,
% 0.32/0.62 (greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.32/0.62 inference(unit_resolution,[status(thm)],[724, 702])).
% 0.32/0.62 tff(726,assumption,(greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))), introduced(assumption)).
% 0.32/0.62 tff(727,plain,
% 0.32/0.62 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.62 inference(rewrite,[status(thm)],[])).
% 0.32/0.62 tff(728,plain,
% 0.32/0.62 ((greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)))) <=> ((~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.62 inference(rewrite,[status(thm)],[])).
% 0.32/0.62 tff(729,plain,
% 0.32/0.62 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | ((~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))))),
% 0.32/0.62 inference(monotonicity,[status(thm)],[728])).
% 0.32/0.62 tff(730,plain,
% 0.32/0.62 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))))),
% 0.32/0.62 inference(transitivity,[status(thm)],[729, 727])).
% 0.32/0.62 tff(731,plain,
% 0.32/0.62 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))),
% 0.32/0.62 inference(quant_inst,[status(thm)],[])).
% 0.32/0.62 tff(732,plain,
% 0.32/0.62 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(Y, Z)) | (~greater(X, Y)))) | (~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2))) | (~greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))))),
% 0.32/0.62 inference(modus_ponens,[status(thm)],[731, 730])).
% 0.32/0.62 tff(733,plain,
% 0.32/0.62 ($false),
% 0.32/0.62 inference(unit_resolution,[status(thm)],[732, 271, 726, 725, 504])).
% 0.32/0.62 tff(734,plain,(~greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))), inference(lemma,lemma(discharge,[]))).
% 0.32/0.62 tff(735,plain,
% 0.32/0.62 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))),
% 0.32/0.62 inference(quant_inst,[status(thm)],[])).
% 0.32/0.62 tff(736,plain,
% 0.32/0.62 (greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)))),
% 0.39/0.63 inference(unit_resolution,[status(thm)],[735, 134])).
% 0.39/0.63 tff(737,plain,
% 0.39/0.63 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))) | ((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)))),
% 0.39/0.63 inference(tautology,[status(thm)],[])).
% 0.39/0.63 tff(738,plain,
% 0.39/0.63 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))))) | ((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)))),
% 0.39/0.63 inference(unit_resolution,[status(thm)],[737, 168])).
% 0.39/0.63 tff(739,plain,
% 0.39/0.63 ((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))),
% 0.39/0.63 inference(unit_resolution,[status(thm)],[738, 736])).
% 0.39/0.63 tff(740,plain,
% 0.39/0.63 ((~((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2)))) | (tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))),
% 0.39/0.63 inference(tautology,[status(thm)],[])).
% 0.39/0.63 tff(741,plain,
% 0.39/0.63 ((tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_To_1(E!2))),
% 0.39/0.63 inference(unit_resolution,[status(thm)],[740, 739])).
% 0.39/0.63 tff(742,plain,
% 0.39/0.63 (tptp_fun_T_3(tptp_fun_To_1(E!2)) = tptp_fun_To_1(E!2)),
% 0.39/0.63 inference(unit_resolution,[status(thm)],[741, 734])).
% 0.39/0.63 tff(743,plain,
% 0.39/0.63 (greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2))) <=> greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.39/0.63 inference(monotonicity,[status(thm)],[742])).
% 0.39/0.63 tff(744,plain,
% 0.39/0.63 (greater(tptp_fun_To_1(E!2), tptp_fun_T_3(tptp_fun_T_0(E!2))) <=> greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.39/0.63 inference(symmetry,[status(thm)],[743])).
% 0.39/0.63 tff(745,plain,
% 0.39/0.63 (greater(tptp_fun_T_3(tptp_fun_To_1(E!2)), tptp_fun_T_3(tptp_fun_T_0(E!2)))),
% 0.39/0.63 inference(modus_ponens,[status(thm)],[725, 744])).
% 0.39/0.63 tff(746,plain,
% 0.39/0.63 ($false),
% 0.39/0.63 inference(unit_resolution,[status(thm)],[504, 745])).
% 0.39/0.63 % SZS output end Proof
% 0.39/0.63 % E exiting
%------------------------------------------------------------------------------