%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : MGT035+1 : TPTP v9.3.0. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n027.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 0.14s 0.39s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT035+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.08/0.34 % Computer : n027.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 7 12:37:02 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.14/0.39 % SZS status Theorem
% 0.14/0.39 % SZS output start Proof
% 0.14/0.39 tff(greater_type, type, (
% 0.14/0.39 greater: ( $i * $i ) > $o)).
% 0.14/0.39 tff(tptp_fun_T_1_type, type, (
% 0.14/0.39 tptp_fun_T_1: $i > $i)).
% 0.14/0.39 tff(tptp_fun_E_2_type, type, (
% 0.14/0.39 tptp_fun_E_2: $i)).
% 0.14/0.39 tff(tptp_fun_To_0_type, type, (
% 0.14/0.39 tptp_fun_To_0: $i > $i)).
% 0.14/0.39 tff(equilibrium_type, type, (
% 0.14/0.39 equilibrium: $i > $i)).
% 0.14/0.39 tff(greater_or_equal_type, type, (
% 0.14/0.39 greater_or_equal: ( $i * $i ) > $o)).
% 0.14/0.39 tff(tptp_fun_T_3_type, type, (
% 0.14/0.39 tptp_fun_T_3: $i > $i)).
% 0.14/0.39 tff(growth_rate_type, type, (
% 0.14/0.39 growth_rate: ( $i * $i ) > $i)).
% 0.14/0.39 tff(first_movers_type, type, (
% 0.14/0.39 first_movers: $i)).
% 0.14/0.39 tff(efficient_producers_type, type, (
% 0.14/0.39 efficient_producers: $i)).
% 0.14/0.39 tff(zero_type, type, (
% 0.14/0.39 zero: $i)).
% 0.14/0.39 tff(outcompetes_type, type, (
% 0.14/0.39 outcompetes: ( $i * $i * $i ) > $o)).
% 0.14/0.39 tff(subpopulations_type, type, (
% 0.14/0.39 subpopulations: ( $i * $i * $i * $i ) > $o)).
% 0.14/0.39 tff(in_environment_type, type, (
% 0.14/0.39 in_environment: ( $i * $i ) > $o)).
% 0.14/0.39 tff(stable_type, type, (
% 0.14/0.39 stable: $i > $o)).
% 0.14/0.39 tff(environment_type, type, (
% 0.14/0.39 environment: $i > $o)).
% 0.14/0.39 tff(1,assumption,(greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))), introduced(assumption)).
% 0.14/0.39 tff(2,plain,
% 0.14/0.39 (^[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))))),
% 0.14/0.39 inference(bind,[status(th)],[])).
% 0.14/0.39 tff(3,plain,
% 0.14/0.39 (![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)))),
% 0.14/0.39 inference(quant_intro,[status(thm)],[2])).
% 0.14/0.39 tff(4,plain,
% 0.14/0.39 (![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)))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(5,plain,
% 0.14/0.39 (^[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))))),
% 0.14/0.39 inference(bind,[status(th)],[])).
% 0.14/0.39 tff(6,plain,
% 0.14/0.39 (![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)))),
% 0.14/0.39 inference(quant_intro,[status(thm)],[5])).
% 0.14/0.39 tff(7,axiom,(![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> (greater(X, Y) | (X = Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_greater_or_equal')).
% 0.14/0.39 tff(8,plain,
% 0.14/0.39 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.14/0.39 tff(9,plain,
% 0.14/0.39 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[8, 4])).
% 0.14/0.39 tff(10,plain,(
% 0.14/0.39 ![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.14/0.39 inference(skolemize,[status(sab)],[9])).
% 0.14/0.39 tff(11,plain,
% 0.14/0.39 (![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.14/0.39 tff(12,plain,
% 0.14/0.39 ((~![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_1(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)))),
% 0.14/0.39 inference(quant_inst,[status(thm)],[])).
% 0.14/0.39 tff(13,plain,
% 0.14/0.39 (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero))),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[12, 11])).
% 0.14/0.39 tff(14,assumption,(~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)), introduced(assumption)).
% 0.14/0.39 tff(15,plain,
% 0.14/0.39 (((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)),
% 0.14/0.39 inference(tautology,[status(thm)],[])).
% 0.14/0.39 tff(16,plain,
% 0.14/0.39 ((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero))),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[15, 14])).
% 0.14/0.39 tff(17,assumption,(greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)), introduced(assumption)).
% 0.14/0.39 tff(18,plain,
% 0.14/0.39 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z))) <=> ![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(19,plain,
% 0.14/0.39 (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((greater(X, Y) & greater(Y, Z)) <=> (~((~greater(X, Y)) | (~greater(Y, Z))))), ((~(greater(X, Y) & greater(Y, Z))) <=> (~(~((~greater(X, Y)) | (~greater(Y, Z))))))), rewrite((~(~((~greater(X, Y)) | (~greater(Y, Z))))) <=> ((~greater(X, Y)) | (~greater(Y, Z)))), ((~(greater(X, Y) & greater(Y, Z))) <=> ((~greater(X, Y)) | (~greater(Y, Z))))), (((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> (((~greater(X, Y)) | (~greater(Y, Z))) | greater(X, Z)))), rewrite((((~greater(X, Y)) | (~greater(Y, Z))) | greater(X, Z)) <=> (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))), (((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z)) <=> (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))))),
% 0.14/0.39 inference(bind,[status(th)],[])).
% 0.14/0.39 tff(20,plain,
% 0.14/0.39 (![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(X, Y)) | (~greater(Y, Z)))),
% 0.14/0.39 inference(quant_intro,[status(thm)],[19])).
% 0.14/0.39 tff(21,plain,
% 0.14/0.39 (![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))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(22,plain,
% 0.14/0.39 (^[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)))),
% 0.14/0.39 inference(bind,[status(th)],[])).
% 0.14/0.39 tff(23,plain,
% 0.14/0.39 (![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))),
% 0.14/0.39 inference(quant_intro,[status(thm)],[22])).
% 0.14/0.39 tff(24,axiom,(![X: $i, Y: $i, Z: $i] : ((greater(X, Y) & greater(Y, Z)) => greater(X, Z))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mp_greater_transitivity')).
% 0.14/0.39 tff(25,plain,
% 0.14/0.39 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.14/0.39 tff(26,plain,
% 0.14/0.39 (![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[25, 21])).
% 0.14/0.39 tff(27,plain,(
% 0.14/0.39 ![X: $i, Y: $i, Z: $i] : ((~(greater(X, Y) & greater(Y, Z))) | greater(X, Z))),
% 0.14/0.39 inference(skolemize,[status(sab)],[26])).
% 0.14/0.39 tff(28,plain,
% 0.14/0.39 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.14/0.39 tff(29,plain,
% 0.14/0.39 (![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[28, 18])).
% 0.14/0.39 tff(30,plain,
% 0.14/0.39 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(31,plain,
% 0.14/0.39 ((greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero))) <=> (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(32,plain,
% 0.14/0.39 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))))),
% 0.14/0.39 inference(monotonicity,[status(thm)],[31])).
% 0.14/0.39 tff(33,plain,
% 0.14/0.39 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))),
% 0.14/0.39 inference(transitivity,[status(thm)],[32, 30])).
% 0.14/0.39 tff(34,plain,
% 0.14/0.39 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)))),
% 0.14/0.39 inference(quant_inst,[status(thm)],[])).
% 0.14/0.39 tff(35,plain,
% 0.14/0.39 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.14/0.39 tff(36,plain,
% 0.14/0.39 ($false),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[35, 29, 17, 14, 1])).
% 0.14/0.39 tff(37,plain,((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.39 tff(38,plain,
% 0.14/0.39 (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[37, 14, 1])).
% 0.14/0.39 tff(39,plain,
% 0.14/0.39 (((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)),
% 0.14/0.39 inference(tautology,[status(thm)],[])).
% 0.14/0.39 tff(40,plain,
% 0.14/0.39 ((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.14/0.39 tff(41,plain,
% 0.14/0.39 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_1(E!2)) = equilibrium(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))))),
% 0.14/0.39 inference(quant_inst,[status(thm)],[])).
% 0.14/0.39 tff(42,plain,
% 0.14/0.39 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_1(E!2)) = equilibrium(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)))),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[41, 11])).
% 0.14/0.39 tff(43,assumption,(~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))), introduced(assumption)).
% 0.14/0.39 tff(44,plain,
% 0.14/0.39 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_1(E!2)) = equilibrium(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))))) | greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)) | (~((tptp_fun_T_3(tptp_fun_T_1(E!2)) = equilibrium(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))))),
% 0.14/0.39 inference(tautology,[status(thm)],[])).
% 0.14/0.39 tff(45,plain,
% 0.14/0.39 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_1(E!2)) = equilibrium(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))))) | (~((tptp_fun_T_3(tptp_fun_T_1(E!2)) = equilibrium(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))))),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[44, 43])).
% 0.14/0.39 tff(46,plain,
% 0.14/0.39 (~((tptp_fun_T_3(tptp_fun_T_1(E!2)) = equilibrium(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)))),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[45, 42])).
% 0.14/0.39 tff(47,plain,
% 0.14/0.39 (((tptp_fun_T_3(tptp_fun_T_1(E!2)) = equilibrium(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)))),
% 0.14/0.39 inference(tautology,[status(thm)],[])).
% 0.14/0.39 tff(48,plain,
% 0.14/0.39 (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))),
% 0.14/0.39 inference(unit_resolution,[status(thm)],[47, 46])).
% 0.14/0.39 tff(49,assumption,(tptp_fun_T_1(E!2) = equilibrium(E!2)), introduced(assumption)).
% 0.14/0.39 tff(50,plain,
% 0.14/0.39 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2)) <=> greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))),
% 0.14/0.39 inference(monotonicity,[status(thm)],[49])).
% 0.14/0.39 tff(51,plain,
% 0.14/0.39 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)) <=> greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))),
% 0.14/0.39 inference(symmetry,[status(thm)],[50])).
% 0.14/0.39 tff(52,plain,
% 0.14/0.39 ((~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))) <=> (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2)))),
% 0.14/0.39 inference(monotonicity,[status(thm)],[51])).
% 0.14/0.39 tff(53,plain,
% 0.14/0.39 (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[43, 52])).
% 0.14/0.39 tff(54,plain,
% 0.14/0.39 (((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))))))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(55,plain,
% 0.14/0.39 ((~![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)))))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(56,plain,
% 0.14/0.39 ((~![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)))))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(57,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/sandbox2/benchmark/theBenchmark.p','prove_t4')).
% 0.14/0.39 tff(58,plain,
% 0.14/0.39 (~![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))))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.14/0.39 tff(59,plain,
% 0.14/0.39 (~![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))))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[58, 55])).
% 0.14/0.39 tff(60,plain,
% 0.14/0.39 (~![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))))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[59, 55])).
% 0.14/0.39 tff(61,plain,
% 0.14/0.39 (~![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))))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[60, 55])).
% 0.14/0.39 tff(62,plain,
% 0.14/0.39 (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)))))),
% 0.14/0.39 inference(modus_ponens,[status(thm)],[61, 54])).
% 0.14/0.39 tff(63,plain,
% 0.14/0.39 (stable(E!2)),
% 0.14/0.39 inference(and_elim,[status(thm)],[62])).
% 0.14/0.39 tff(64,plain,
% 0.14/0.39 (environment(E!2)),
% 0.14/0.39 inference(and_elim,[status(thm)],[62])).
% 0.14/0.39 tff(65,plain,
% 0.14/0.39 (^[E: $i] : refl(((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_1(E))) | (~greater_or_equal(tptp_fun_T_1(E), equilibrium(E)))))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_1(E))) | (~greater_or_equal(tptp_fun_T_1(E), equilibrium(E)))))))),
% 0.14/0.39 inference(bind,[status(th)],[])).
% 0.14/0.39 tff(66,plain,
% 0.14/0.39 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_1(E))) | (~greater_or_equal(tptp_fun_T_1(E), equilibrium(E)))))) <=> ![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_1(E))) | (~greater_or_equal(tptp_fun_T_1(E), equilibrium(E))))))),
% 0.14/0.39 inference(quant_intro,[status(thm)],[65])).
% 0.14/0.39 tff(67,plain,
% 0.14/0.39 (^[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_1(E)) & greater_or_equal(tptp_fun_T_1(E), equilibrium(E))) <=> (~((~in_environment(E, tptp_fun_T_1(E))) | (~greater_or_equal(tptp_fun_T_1(E), equilibrium(E)))))), (((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_T_1(E)) & greater_or_equal(tptp_fun_T_1(E), equilibrium(E)))) <=> (((~environment(E)) | (~stable(E))) | (~((~in_environment(E, tptp_fun_T_1(E))) | (~greater_or_equal(tptp_fun_T_1(E), equilibrium(E)))))))), rewrite((((~environment(E)) | (~stable(E))) | (~((~in_environment(E, tptp_fun_T_1(E))) | (~greater_or_equal(tptp_fun_T_1(E), equilibrium(E)))))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_1(E))) | (~greater_or_equal(tptp_fun_T_1(E), equilibrium(E))))))), (((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_T_1(E)) & greater_or_equal(tptp_fun_T_1(E), equilibrium(E)))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_1(E))) | (~greater_or_equal(tptp_fun_T_1(E), equilibrium(E))))))))),
% 0.14/0.39 inference(bind,[status(th)],[])).
% 0.14/0.39 tff(68,plain,
% 0.14/0.39 (![E: $i] : ((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_T_1(E)) & greater_or_equal(tptp_fun_T_1(E), equilibrium(E)))) <=> ![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_1(E))) | (~greater_or_equal(tptp_fun_T_1(E), equilibrium(E))))))),
% 0.14/0.39 inference(quant_intro,[status(thm)],[67])).
% 0.14/0.39 tff(69,plain,
% 0.14/0.39 (![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))))),
% 0.14/0.39 inference(rewrite,[status(thm)],[])).
% 0.14/0.39 tff(70,plain,
% 0.14/0.39 (^[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)))))),
% 0.14/0.39 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(71,plain,
% 0.14/0.40 (![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))))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[70])).
% 0.14/0.40 tff(72,axiom,(![E: $i] : ((environment(E) & stable(E)) => ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','a4')).
% 0.14/0.40 tff(73,plain,
% 0.14/0.40 (![E: $i] : ((~(environment(E) & stable(E))) | ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E))))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.14/0.40 tff(74,plain,
% 0.14/0.40 (![E: $i] : ((~(environment(E) & stable(E))) | ?[T: $i] : (in_environment(E, T) & greater_or_equal(T, equilibrium(E))))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[73, 69])).
% 0.14/0.40 tff(75,plain,(
% 0.14/0.40 ![E: $i] : ((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_T_1(E)) & greater_or_equal(tptp_fun_T_1(E), equilibrium(E))))),
% 0.14/0.40 inference(skolemize,[status(sab)],[74])).
% 0.14/0.40 tff(76,plain,
% 0.14/0.40 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_1(E))) | (~greater_or_equal(tptp_fun_T_1(E), equilibrium(E))))))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[75, 68])).
% 0.14/0.40 tff(77,plain,
% 0.14/0.40 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_1(E))) | (~greater_or_equal(tptp_fun_T_1(E), equilibrium(E))))))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[76, 66])).
% 0.14/0.40 tff(78,plain,
% 0.14/0.40 (((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_1(E))) | (~greater_or_equal(tptp_fun_T_1(E), equilibrium(E))))))) | ((~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))))))) <=> ((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_1(E))) | (~greater_or_equal(tptp_fun_T_1(E), equilibrium(E))))))) | (~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))))))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(79,plain,
% 0.14/0.40 ((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_1(E))) | (~greater_or_equal(tptp_fun_T_1(E), equilibrium(E))))))) | ((~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))))))),
% 0.14/0.40 inference(quant_inst,[status(thm)],[])).
% 0.14/0.40 tff(80,plain,
% 0.14/0.40 ((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_T_1(E))) | (~greater_or_equal(tptp_fun_T_1(E), equilibrium(E))))))) | (~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2)))))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.14/0.40 tff(81,plain,
% 0.14/0.40 (~((~in_environment(E!2, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[80, 77, 64, 63])).
% 0.14/0.40 tff(82,plain,
% 0.14/0.40 (((~in_environment(E!2, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2)))) | in_environment(E!2, tptp_fun_T_1(E!2))),
% 0.14/0.40 inference(tautology,[status(thm)],[])).
% 0.14/0.40 tff(83,plain,
% 0.14/0.40 (in_environment(E!2, tptp_fun_T_1(E!2))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[82, 81])).
% 0.14/0.40 tff(84,plain,
% 0.14/0.40 (^[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))))))),
% 0.14/0.40 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(85,plain,
% 0.14/0.40 (![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)))))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[84])).
% 0.14/0.40 tff(86,plain,
% 0.14/0.40 (^[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))))))),
% 0.14/0.40 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(87,plain,
% 0.14/0.40 (![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)))))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[86])).
% 0.14/0.40 tff(88,plain,
% 0.14/0.40 (![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)))))),
% 0.14/0.40 inference(and_elim,[status(thm)],[62])).
% 0.14/0.40 tff(89,plain,
% 0.14/0.40 (![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)))))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.14/0.40 tff(90,plain,
% 0.14/0.40 (![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)))))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[89, 85])).
% 0.14/0.40 tff(91,plain,
% 0.14/0.40 (((~![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_1(E!2))) | (~((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_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_T_1(E!2))) | (~((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))))))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(92,plain,
% 0.14/0.40 (((~in_environment(E!2, tptp_fun_T_1(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2)))))) <=> ((~in_environment(E!2, tptp_fun_T_1(E!2))) | (~((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))))))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(93,plain,
% 0.14/0.40 (((~![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_1(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_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_T_1(E!2))) | (~((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2)))))))),
% 0.14/0.40 inference(monotonicity,[status(thm)],[92])).
% 0.14/0.40 tff(94,plain,
% 0.14/0.40 (((~![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_1(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_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_T_1(E!2))) | (~((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))))))),
% 0.14/0.40 inference(transitivity,[status(thm)],[93, 91])).
% 0.14/0.40 tff(95,plain,
% 0.14/0.40 ((~![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_1(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))))))),
% 0.14/0.40 inference(quant_inst,[status(thm)],[])).
% 0.14/0.40 tff(96,plain,
% 0.14/0.40 ((~![To: $i] : ((~in_environment(E!2, To)) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(To)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(To))) | (~greater_or_equal(tptp_fun_T_3(To), To)))))) | (~in_environment(E!2, tptp_fun_T_1(E!2))) | (~((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2)))))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.14/0.40 tff(97,plain,
% 0.14/0.40 (~((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[96, 90, 83])).
% 0.14/0.40 tff(98,plain,
% 0.14/0.40 (((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2)))) | greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))),
% 0.14/0.40 inference(tautology,[status(thm)],[])).
% 0.14/0.40 tff(99,plain,
% 0.14/0.40 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[98, 97])).
% 0.14/0.40 tff(100,plain,
% 0.14/0.40 ($false),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[99, 53])).
% 0.14/0.40 tff(101,plain,((~(tptp_fun_T_1(E!2) = equilibrium(E!2))) | greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.40 tff(102,plain,
% 0.14/0.40 (~(tptp_fun_T_1(E!2) = equilibrium(E!2))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[101, 43])).
% 0.14/0.40 tff(103,plain,
% 0.14/0.40 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2)) <=> ((tptp_fun_T_1(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_1(E!2), equilibrium(E!2))))),
% 0.14/0.40 inference(quant_inst,[status(thm)],[])).
% 0.14/0.40 tff(104,plain,
% 0.14/0.40 (greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2)) <=> ((tptp_fun_T_1(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_1(E!2), equilibrium(E!2)))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[103, 11])).
% 0.14/0.40 tff(105,plain,
% 0.14/0.40 (((~in_environment(E!2, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2)))) | greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))),
% 0.14/0.40 inference(tautology,[status(thm)],[])).
% 0.14/0.40 tff(106,plain,
% 0.14/0.40 (greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[105, 81])).
% 0.14/0.40 tff(107,plain,
% 0.14/0.40 ((~(greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2)) <=> ((tptp_fun_T_1(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_1(E!2), equilibrium(E!2))))) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))) | ((tptp_fun_T_1(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_1(E!2), equilibrium(E!2)))),
% 0.14/0.40 inference(tautology,[status(thm)],[])).
% 0.14/0.40 tff(108,plain,
% 0.14/0.40 ((~(greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2)) <=> ((tptp_fun_T_1(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_1(E!2), equilibrium(E!2))))) | ((tptp_fun_T_1(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_1(E!2), equilibrium(E!2)))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[107, 106])).
% 0.14/0.40 tff(109,plain,
% 0.14/0.40 ((tptp_fun_T_1(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_1(E!2), equilibrium(E!2))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[108, 104])).
% 0.14/0.40 tff(110,plain,
% 0.14/0.40 ((~((tptp_fun_T_1(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_1(E!2), equilibrium(E!2)))) | (tptp_fun_T_1(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_1(E!2), equilibrium(E!2))),
% 0.14/0.40 inference(tautology,[status(thm)],[])).
% 0.14/0.40 tff(111,plain,
% 0.14/0.40 ((tptp_fun_T_1(E!2) = equilibrium(E!2)) | greater(tptp_fun_T_1(E!2), equilibrium(E!2))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[110, 109])).
% 0.14/0.40 tff(112,plain,
% 0.14/0.40 (greater(tptp_fun_T_1(E!2), equilibrium(E!2))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[111, 102])).
% 0.14/0.40 tff(113,assumption,(~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))), introduced(assumption)).
% 0.14/0.40 tff(114,assumption,(greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))), introduced(assumption)).
% 0.14/0.40 tff(115,assumption,(greater(tptp_fun_T_1(E!2), equilibrium(E!2))), introduced(assumption)).
% 0.14/0.40 tff(116,plain,
% 0.14/0.40 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | ((~greater(tptp_fun_T_1(E!2), equilibrium(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(tptp_fun_T_1(E!2), equilibrium(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(117,plain,
% 0.14/0.40 ((greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | (~greater(tptp_fun_T_1(E!2), equilibrium(E!2)))) <=> ((~greater(tptp_fun_T_1(E!2), equilibrium(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(118,plain,
% 0.14/0.40 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | (~greater(tptp_fun_T_1(E!2), equilibrium(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | ((~greater(tptp_fun_T_1(E!2), equilibrium(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))))),
% 0.14/0.40 inference(monotonicity,[status(thm)],[117])).
% 0.14/0.40 tff(119,plain,
% 0.14/0.40 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | (~greater(tptp_fun_T_1(E!2), equilibrium(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(tptp_fun_T_1(E!2), equilibrium(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)))),
% 0.14/0.40 inference(transitivity,[status(thm)],[118, 116])).
% 0.14/0.40 tff(120,plain,
% 0.14/0.40 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | (~greater(tptp_fun_T_1(E!2), equilibrium(E!2))))),
% 0.14/0.40 inference(quant_inst,[status(thm)],[])).
% 0.14/0.40 tff(121,plain,
% 0.14/0.40 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(tptp_fun_T_1(E!2), equilibrium(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[120, 119])).
% 0.14/0.40 tff(122,plain,
% 0.14/0.40 ($false),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[121, 29, 115, 114, 113])).
% 0.14/0.40 tff(123,plain,((~greater(tptp_fun_T_1(E!2), equilibrium(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.40 tff(124,plain,
% 0.14/0.40 (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[123, 112, 48])).
% 0.14/0.40 tff(125,plain,
% 0.14/0.40 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_T_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))))),
% 0.14/0.40 inference(quant_inst,[status(thm)],[])).
% 0.14/0.40 tff(126,plain,
% 0.14/0.40 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_T_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2)))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[125, 11])).
% 0.14/0.40 tff(127,plain,
% 0.14/0.40 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_T_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | ((tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_T_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2)))),
% 0.14/0.40 inference(tautology,[status(thm)],[])).
% 0.14/0.40 tff(128,plain,
% 0.14/0.40 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_T_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))))) | ((tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_T_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2)))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[127, 99])).
% 0.14/0.40 tff(129,plain,
% 0.14/0.40 ((tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_T_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[128, 126])).
% 0.14/0.40 tff(130,plain,
% 0.14/0.40 ((~((tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_T_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2)))) | (tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_T_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))),
% 0.14/0.40 inference(tautology,[status(thm)],[])).
% 0.14/0.40 tff(131,plain,
% 0.14/0.40 ((tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_T_1(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[130, 129])).
% 0.14/0.40 tff(132,plain,
% 0.14/0.40 (tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_T_1(E!2)),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[131, 124])).
% 0.14/0.40 tff(133,plain,
% 0.14/0.40 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)) <=> greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))),
% 0.14/0.40 inference(monotonicity,[status(thm)],[132])).
% 0.14/0.40 tff(134,plain,
% 0.14/0.40 (greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2)) <=> greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))),
% 0.14/0.40 inference(symmetry,[status(thm)],[133])).
% 0.14/0.40 tff(135,plain,
% 0.14/0.40 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[106, 134])).
% 0.14/0.40 tff(136,plain,
% 0.14/0.40 ($false),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[43, 135])).
% 0.14/0.40 tff(137,plain,(greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.40 tff(138,plain,
% 0.14/0.40 (((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2)))) | subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))),
% 0.14/0.40 inference(tautology,[status(thm)],[])).
% 0.14/0.40 tff(139,plain,
% 0.14/0.40 (subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[138, 97])).
% 0.14/0.40 tff(140,plain,
% 0.14/0.40 (^[E: $i, T: $i] : refl(((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E)))) <=> ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E)))))),
% 0.14/0.40 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(141,plain,
% 0.14/0.40 (![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E)))) <=> ![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[140])).
% 0.14/0.40 tff(142,plain,
% 0.14/0.40 (^[E: $i, T: $i] : trans(monotonicity(rewrite((greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T))) <=> (~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T)))))), rewrite((greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T))) <=> (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T)))))), rewrite(((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)) <=> (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero))))), trans(monotonicity(rewrite((environment(E) & subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, equilibrium(E))) <=> (~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E)))))), ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, equilibrium(E)))) <=> (~(~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E)))))))), rewrite((~(~((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E)))))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))), ((~(environment(E) & subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, equilibrium(E)))) <=> ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E)))))), (((greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T))) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T))) | ((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)) | (~(environment(E) & subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, equilibrium(E))))) <=> ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))))), rewrite(((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | ((~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) <=> ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))), (((greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T))) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T))) | ((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)) | (~(environment(E) & subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, equilibrium(E))))) <=> ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))))),
% 0.14/0.40 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(143,plain,
% 0.14/0.40 (![E: $i, T: $i] : ((greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T))) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T))) | ((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)) | (~(environment(E) & subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, equilibrium(E))))) <=> ![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[142])).
% 0.14/0.40 tff(144,plain,
% 0.14/0.40 (![E: $i, T: $i] : ((greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T))) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T))) | ((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)) | (~(environment(E) & subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, equilibrium(E))))) <=> ![E: $i, T: $i] : ((greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T))) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T))) | ((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)) | (~(environment(E) & subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, equilibrium(E)))))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(145,plain,
% 0.14/0.40 (^[E: $i, T: $i] : trans(monotonicity(rewrite(((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) & greater_or_equal(T, equilibrium(E))) <=> (environment(E) & subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, equilibrium(E)))), rewrite(((((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T)))) | (greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T)))) <=> ((greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T))) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T))) | ((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)))), ((((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) & greater_or_equal(T, equilibrium(E))) => ((((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T)))) | (greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T))))) <=> ((environment(E) & subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, equilibrium(E))) => ((greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T))) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T))) | ((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)))))), rewrite(((environment(E) & subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, equilibrium(E))) => ((greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T))) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T))) | ((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)))) <=> ((greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T))) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T))) | ((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)) | (~(environment(E) & subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, equilibrium(E)))))), ((((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) & greater_or_equal(T, equilibrium(E))) => ((((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T)))) | (greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T))))) <=> ((greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T))) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T))) | ((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)) | (~(environment(E) & subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, equilibrium(E)))))))),
% 0.14/0.40 inference(bind,[status(th)],[])).
% 0.14/0.40 tff(146,plain,
% 0.14/0.40 (![E: $i, T: $i] : (((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) & greater_or_equal(T, equilibrium(E))) => ((((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T)))) | (greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T))))) <=> ![E: $i, T: $i] : ((greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T))) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T))) | ((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)) | (~(environment(E) & subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, equilibrium(E)))))),
% 0.14/0.40 inference(quant_intro,[status(thm)],[145])).
% 0.14/0.40 tff(147,axiom,(![E: $i, T: $i] : (((environment(E) & subpopulations(first_movers, efficient_producers, E, T)) & greater_or_equal(T, equilibrium(E))) => ((((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T)))) | (greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','l6')).
% 0.14/0.40 tff(148,plain,
% 0.14/0.40 (![E: $i, T: $i] : ((greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T))) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T))) | ((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)) | (~(environment(E) & subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, equilibrium(E)))))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.14/0.40 tff(149,plain,
% 0.14/0.40 (![E: $i, T: $i] : ((greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T))) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T))) | ((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)) | (~(environment(E) & subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, equilibrium(E)))))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[148, 144])).
% 0.14/0.40 tff(150,plain,(
% 0.14/0.40 ![E: $i, T: $i] : ((greater(growth_rate(efficient_producers, T), zero) & greater(zero, growth_rate(first_movers, T))) | (greater(growth_rate(first_movers, T), zero) & greater(zero, growth_rate(efficient_producers, T))) | ((growth_rate(first_movers, T) = zero) & (growth_rate(efficient_producers, T) = zero)) | (~(environment(E) & subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, equilibrium(E)))))),
% 0.14/0.40 inference(skolemize,[status(sab)],[149])).
% 0.14/0.40 tff(151,plain,
% 0.14/0.40 (![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[150, 143])).
% 0.14/0.40 tff(152,plain,
% 0.14/0.40 (![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[151, 141])).
% 0.14/0.40 tff(153,plain,
% 0.14/0.40 (((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))) | (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)))))) <=> ((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))) | (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)))))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(154,plain,
% 0.14/0.41 (((~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)))) <=> ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))) | (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)))))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(155,plain,
% 0.14/0.41 ((~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)))) <=> (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero))))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(156,plain,
% 0.14/0.41 ((~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) <=> (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(157,plain,
% 0.14/0.41 ((~((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) <=> (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero))))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(158,plain,
% 0.14/0.41 (((~((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)))) <=> ((~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))))),
% 0.14/0.41 inference(monotonicity,[status(thm)],[157, 156, 155])).
% 0.14/0.41 tff(159,plain,
% 0.14/0.41 (((~((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2)))) <=> ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))) | (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)))))),
% 0.14/0.41 inference(transitivity,[status(thm)],[158, 154])).
% 0.14/0.41 tff(160,plain,
% 0.14/0.41 (((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | ((~((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))))) <=> ((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))) | (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero))))))),
% 0.14/0.41 inference(monotonicity,[status(thm)],[159])).
% 0.14/0.41 tff(161,plain,
% 0.14/0.41 (((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | ((~((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))))) <=> ((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))) | (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)))))),
% 0.14/0.41 inference(transitivity,[status(thm)],[160, 153])).
% 0.14/0.41 tff(162,plain,
% 0.14/0.41 ((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | ((~((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))))),
% 0.14/0.41 inference(quant_inst,[status(thm)],[])).
% 0.14/0.41 tff(163,plain,
% 0.14/0.41 ((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))) | (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[162, 161])).
% 0.14/0.41 tff(164,plain,
% 0.14/0.41 ((~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), equilibrium(E!2))) | (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero))))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[163, 152, 64, 139])).
% 0.14/0.41 tff(165,plain,
% 0.14/0.41 ((~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)))) | (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero))))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[164, 137])).
% 0.14/0.41 tff(166,plain,
% 0.14/0.41 (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[165, 40, 16])).
% 0.14/0.41 tff(167,plain,
% 0.14/0.41 (((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)),
% 0.14/0.41 inference(tautology,[status(thm)],[])).
% 0.14/0.41 tff(168,plain,
% 0.14/0.41 (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[167, 166])).
% 0.14/0.41 tff(169,plain,
% 0.14/0.41 (zero = growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2)))),
% 0.14/0.41 inference(symmetry,[status(thm)],[168])).
% 0.14/0.41 tff(170,plain,
% 0.14/0.41 (((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)),
% 0.14/0.41 inference(tautology,[status(thm)],[])).
% 0.14/0.41 tff(171,plain,
% 0.14/0.41 (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[170, 166])).
% 0.14/0.41 tff(172,plain,
% 0.14/0.41 (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2)))),
% 0.14/0.41 inference(transitivity,[status(thm)],[171, 169])).
% 0.14/0.41 tff(173,plain,
% 0.14/0.41 (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) <=> greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.41 inference(monotonicity,[status(thm)],[172])).
% 0.14/0.41 tff(174,plain,
% 0.14/0.41 (greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) <=> greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.41 inference(symmetry,[status(thm)],[173])).
% 0.14/0.41 tff(175,plain,
% 0.14/0.41 ((~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) <=> (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))),
% 0.14/0.41 inference(monotonicity,[status(thm)],[174])).
% 0.14/0.41 tff(176,plain,
% 0.14/0.41 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero) <=> greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.41 inference(monotonicity,[status(thm)],[168, 169])).
% 0.14/0.41 tff(177,plain,
% 0.14/0.41 ((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) <=> (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))),
% 0.14/0.41 inference(monotonicity,[status(thm)],[176])).
% 0.14/0.41 tff(178,plain,
% 0.14/0.41 (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[14, 177])).
% 0.14/0.41 tff(179,plain,
% 0.14/0.41 (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[178, 175])).
% 0.14/0.41 tff(180,plain,
% 0.14/0.41 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) <=> greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.41 inference(monotonicity,[status(thm)],[168])).
% 0.14/0.41 tff(181,plain,
% 0.14/0.41 (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[1, 180])).
% 0.14/0.41 tff(182,plain,
% 0.14/0.41 ($false),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[181, 179])).
% 0.14/0.41 tff(183,plain,(greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.41 tff(184,plain,
% 0.14/0.41 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[183, 1])).
% 0.14/0.41 tff(185,plain,
% 0.14/0.41 (((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero))),
% 0.14/0.41 inference(tautology,[status(thm)],[])).
% 0.14/0.41 tff(186,plain,
% 0.14/0.41 ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[185, 184])).
% 0.14/0.41 tff(187,plain,
% 0.14/0.41 ((~(greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)))) | greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero) | (~((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)))),
% 0.14/0.41 inference(tautology,[status(thm)],[])).
% 0.14/0.41 tff(188,plain,
% 0.14/0.41 ((~(greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)))) | greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[187, 186])).
% 0.14/0.41 tff(189,plain,
% 0.14/0.41 (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[188, 13])).
% 0.14/0.41 tff(190,plain,
% 0.14/0.41 (^[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)))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(191,plain,
% 0.14/0.41 (![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))))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[190])).
% 0.14/0.41 tff(192,plain,
% 0.14/0.41 (^[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))))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(193,plain,
% 0.14/0.41 (![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))))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[192])).
% 0.14/0.41 tff(194,plain,
% 0.14/0.41 (![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)))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(195,plain,
% 0.14/0.41 (^[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))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(196,plain,
% 0.14/0.41 (![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)))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[195])).
% 0.14/0.41 tff(197,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/sandbox2/benchmark/theBenchmark.p','d2')).
% 0.14/0.41 tff(198,plain,
% 0.14/0.41 (![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)))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[197, 196])).
% 0.14/0.41 tff(199,plain,
% 0.14/0.41 (![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)))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[198, 194])).
% 0.14/0.41 tff(200,plain,(
% 0.14/0.41 ![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)))),
% 0.14/0.41 inference(skolemize,[status(sab)],[199])).
% 0.14/0.41 tff(201,plain,
% 0.14/0.41 (![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))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[200, 193])).
% 0.14/0.41 tff(202,plain,
% 0.14/0.41 (![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))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[201, 191])).
% 0.14/0.41 tff(203,plain,
% 0.14/0.41 (((~![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_1(E!2)))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_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_T_1(E!2)))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(204,plain,
% 0.14/0.41 ((~![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_1(E!2)))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))),
% 0.14/0.41 inference(quant_inst,[status(thm)],[])).
% 0.14/0.41 tff(205,plain,
% 0.14/0.41 ((~![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_1(E!2)))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[204, 203])).
% 0.14/0.41 tff(206,plain,
% 0.14/0.41 (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[205, 202, 64, 139])).
% 0.14/0.41 tff(207,plain,
% 0.14/0.41 (((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2)))) | (~outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.41 inference(tautology,[status(thm)],[])).
% 0.14/0.41 tff(208,plain,
% 0.14/0.41 (~outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[207, 97])).
% 0.14/0.41 tff(209,plain,
% 0.14/0.41 ((((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))),
% 0.14/0.41 inference(tautology,[status(thm)],[])).
% 0.14/0.41 tff(210,plain,
% 0.14/0.41 ((((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[209, 208])).
% 0.14/0.41 tff(211,plain,
% 0.14/0.41 ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[210, 206])).
% 0.14/0.41 tff(212,plain,
% 0.14/0.41 ((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) | (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))),
% 0.14/0.41 inference(tautology,[status(thm)],[])).
% 0.14/0.41 tff(213,plain,
% 0.14/0.41 ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[212, 211])).
% 0.14/0.41 tff(214,plain,
% 0.14/0.41 (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[213, 189])).
% 0.14/0.41 tff(215,plain,
% 0.14/0.41 (((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.41 inference(tautology,[status(thm)],[])).
% 0.14/0.41 tff(216,plain,
% 0.14/0.41 ((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[215, 214])).
% 0.14/0.41 tff(217,assumption,(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero), introduced(assumption)).
% 0.14/0.41 tff(218,plain,
% 0.14/0.41 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) <=> greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.41 inference(monotonicity,[status(thm)],[217])).
% 0.14/0.41 tff(219,plain,
% 0.14/0.41 (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) <=> greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.41 inference(symmetry,[status(thm)],[218])).
% 0.14/0.41 tff(220,plain,
% 0.14/0.41 ((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) <=> (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))),
% 0.14/0.41 inference(monotonicity,[status(thm)],[219])).
% 0.14/0.41 tff(221,plain,
% 0.14/0.41 (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[214, 220])).
% 0.14/0.41 tff(222,plain,
% 0.14/0.41 ($false),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[1, 221])).
% 0.14/0.41 tff(223,plain,((~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.41 tff(224,plain,
% 0.14/0.41 (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[223, 1])).
% 0.14/0.41 tff(225,plain,
% 0.14/0.41 ((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = zero))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[167, 224])).
% 0.14/0.41 tff(226,plain,
% 0.14/0.41 (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[165, 225, 216])).
% 0.14/0.41 tff(227,plain,
% 0.14/0.41 (((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.41 inference(tautology,[status(thm)],[])).
% 0.14/0.41 tff(228,plain,
% 0.14/0.41 (greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[227, 226])).
% 0.14/0.41 tff(229,plain,
% 0.14/0.41 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))),
% 0.14/0.41 inference(rewrite,[status(thm)],[])).
% 0.14/0.41 tff(230,plain,
% 0.14/0.41 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))))),
% 0.14/0.41 inference(quant_inst,[status(thm)],[])).
% 0.14/0.41 tff(231,plain,
% 0.14/0.41 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))))),
% 0.14/0.41 inference(modus_ponens,[status(thm)],[230, 229])).
% 0.14/0.41 tff(232,plain,
% 0.14/0.41 ($false),
% 0.14/0.41 inference(unit_resolution,[status(thm)],[231, 29, 214, 228, 1])).
% 0.14/0.41 tff(233,plain,(~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.41 tff(234,plain,
% 0.14/0.41 (^[E: $i] : refl(((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E)))))))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E)))))))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(235,plain,
% 0.14/0.41 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E)))))))) <=> ![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E))))))))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[234])).
% 0.14/0.41 tff(236,plain,
% 0.14/0.41 (^[E: $i] : rewrite(((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E)))))))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E)))))))))),
% 0.14/0.41 inference(bind,[status(th)],[])).
% 0.14/0.41 tff(237,plain,
% 0.14/0.41 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E)))))))) <=> ![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E))))))))),
% 0.14/0.41 inference(quant_intro,[status(thm)],[236])).
% 0.14/0.41 tff(238,plain,
% 0.14/0.41 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E)))))))) <=> ![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E))))))))),
% 0.14/0.41 inference(transitivity,[status(thm)],[237, 235])).
% 0.14/0.41 tff(239,plain,
% 0.14/0.41 (^[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_0(E))) <=> (~((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_0(E)))))), ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_0(E)))) <=> (~(~((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_0(E)))))))), rewrite((~(~((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_0(E)))))) <=> ((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_0(E))))), ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_0(E)))) <=> ((~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, tptp_fun_To_0(E)))))), (((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_0(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_0(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_0(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_0(E))))), (((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_0(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_0(E))))))), (![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_0(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_0(E)))))), ((in_environment(E, tptp_fun_To_0(E)) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_0(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))) <=> (in_environment(E, tptp_fun_To_0(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_0(E))))))), rewrite((in_environment(E, tptp_fun_To_0(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_0(E))))) <=> (~((~in_environment(E, tptp_fun_To_0(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_0(E)))))))), ((in_environment(E, tptp_fun_To_0(E)) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_0(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))) <=> (~((~in_environment(E, tptp_fun_To_0(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_0(E))))))))), (((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_To_0(E)) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_0(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> (((~environment(E)) | (~stable(E))) | (~((~in_environment(E, tptp_fun_To_0(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_0(E)))))))))), rewrite((((~environment(E)) | (~stable(E))) | (~((~in_environment(E, tptp_fun_To_0(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_0(E)))))))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E))))))))), (((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_To_0(E)) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_0(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E))))))))))),
% 0.14/0.42 inference(bind,[status(th)],[])).
% 0.14/0.42 tff(240,plain,
% 0.14/0.42 (![E: $i] : ((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_To_0(E)) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_0(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T))))) <=> ![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E))))))))),
% 0.14/0.42 inference(quant_intro,[status(thm)],[239])).
% 0.14/0.42 tff(241,plain,
% 0.14/0.42 (![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)))))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(242,plain,
% 0.14/0.42 (^[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)))))))),
% 0.14/0.42 inference(bind,[status(th)],[])).
% 0.14/0.42 tff(243,plain,
% 0.14/0.42 (![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)))))),
% 0.14/0.42 inference(quant_intro,[status(thm)],[242])).
% 0.14/0.42 tff(244,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/sandbox2/benchmark/theBenchmark.p','l1')).
% 0.14/0.42 tff(245,plain,
% 0.14/0.42 (![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)))))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[244, 243])).
% 0.14/0.42 tff(246,plain,
% 0.14/0.42 (![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)))))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[245, 241])).
% 0.14/0.42 tff(247,plain,(
% 0.14/0.42 ![E: $i] : ((~(environment(E) & stable(E))) | (in_environment(E, tptp_fun_To_0(E)) & ![T: $i] : ((~(subpopulations(first_movers, efficient_producers, E, T) & greater_or_equal(T, tptp_fun_To_0(E)))) | greater(growth_rate(efficient_producers, T), growth_rate(first_movers, T)))))),
% 0.14/0.42 inference(skolemize,[status(sab)],[246])).
% 0.14/0.42 tff(248,plain,
% 0.14/0.42 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E))))))))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[247, 240])).
% 0.14/0.42 tff(249,plain,
% 0.14/0.42 (![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E))))))))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[248, 238])).
% 0.14/0.42 tff(250,plain,
% 0.14/0.42 (((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E))))))))) | ((~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_To_0(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_0(E!2))))))))) <=> ((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E))))))))) | (~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_To_0(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_0(E!2))))))))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(251,plain,
% 0.14/0.42 ((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E))))))))) | ((~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_To_0(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_0(E!2))))))))),
% 0.14/0.42 inference(quant_inst,[status(thm)],[])).
% 0.14/0.42 tff(252,plain,
% 0.14/0.42 ((~![E: $i] : ((~environment(E)) | (~stable(E)) | (~((~in_environment(E, tptp_fun_To_0(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_0(E))))))))) | (~environment(E!2)) | (~stable(E!2)) | (~((~in_environment(E!2, tptp_fun_To_0(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_0(E!2)))))))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[251, 250])).
% 0.14/0.42 tff(253,plain,
% 0.14/0.42 (~((~in_environment(E!2, tptp_fun_To_0(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_0(E!2))))))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[252, 249, 64, 63])).
% 0.14/0.42 tff(254,plain,
% 0.14/0.42 (((~in_environment(E!2, tptp_fun_To_0(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_0(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_0(E!2))))),
% 0.14/0.42 inference(tautology,[status(thm)],[])).
% 0.14/0.42 tff(255,plain,
% 0.14/0.42 (![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_0(E!2))))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[254, 253])).
% 0.14/0.42 tff(256,plain,
% 0.14/0.42 (((~![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_0(E!2))))) | ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(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_0(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2))))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(257,plain,
% 0.14/0.42 ((greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)))) <=> ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2))))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(258,plain,
% 0.14/0.42 (((~![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_0(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(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_0(E!2))))) | ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)))))),
% 0.14/0.42 inference(monotonicity,[status(thm)],[257])).
% 0.14/0.42 tff(259,plain,
% 0.14/0.42 (((~![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_0(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(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_0(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2))))),
% 0.14/0.42 inference(transitivity,[status(thm)],[258, 256])).
% 0.14/0.42 tff(260,plain,
% 0.14/0.42 ((~![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_0(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2))))),
% 0.14/0.42 inference(quant_inst,[status(thm)],[])).
% 0.14/0.42 tff(261,plain,
% 0.14/0.42 ((~![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_0(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[260, 259])).
% 0.14/0.42 tff(262,plain,
% 0.14/0.42 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[261, 255, 139])).
% 0.14/0.42 tff(263,plain,
% 0.14/0.42 (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[262, 233])).
% 0.14/0.42 tff(264,assumption,(~greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2))), introduced(assumption)).
% 0.14/0.42 tff(265,assumption,(~((tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)))), introduced(assumption)).
% 0.14/0.42 tff(266,plain,
% 0.14/0.42 (((tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))) | (~(tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)))),
% 0.14/0.42 inference(tautology,[status(thm)],[])).
% 0.14/0.42 tff(267,plain,
% 0.14/0.42 (~(tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[266, 265])).
% 0.14/0.42 tff(268,plain,
% 0.14/0.42 (((tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))) | (~greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)))),
% 0.14/0.42 inference(tautology,[status(thm)],[])).
% 0.14/0.42 tff(269,plain,
% 0.14/0.42 (~greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[268, 265])).
% 0.14/0.42 tff(270,plain,
% 0.14/0.42 (((~in_environment(E!2, tptp_fun_To_0(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_0(E!2)))))) | in_environment(E!2, tptp_fun_To_0(E!2))),
% 0.14/0.42 inference(tautology,[status(thm)],[])).
% 0.14/0.42 tff(271,plain,
% 0.14/0.42 (in_environment(E!2, tptp_fun_To_0(E!2))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[270, 253])).
% 0.14/0.42 tff(272,plain,
% 0.14/0.42 (^[E: $i, T1: $i, T2: $i] : refl((greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~in_environment(E, T1)) | (~in_environment(E, T2))) <=> (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~in_environment(E, T1)) | (~in_environment(E, T2))))),
% 0.14/0.42 inference(bind,[status(th)],[])).
% 0.14/0.42 tff(273,plain,
% 0.14/0.42 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~in_environment(E, T1)) | (~in_environment(E, T2))) <=> ![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))),
% 0.14/0.42 inference(quant_intro,[status(thm)],[272])).
% 0.14/0.42 tff(274,plain,
% 0.14/0.42 (^[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) | (T2 = T1) | greater(T2, T1) | (~(in_environment(E, T1) & in_environment(E, T2)))) <=> (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | ((~in_environment(E, T1)) | (~in_environment(E, T2)))))), rewrite((greater(T1, T2) | (T2 = T1) | greater(T2, T1) | ((~in_environment(E, T1)) | (~in_environment(E, T2)))) <=> (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))), ((greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~(in_environment(E, T1) & in_environment(E, T2)))) <=> (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))))),
% 0.14/0.42 inference(bind,[status(th)],[])).
% 0.14/0.42 tff(275,plain,
% 0.14/0.42 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~(in_environment(E, T1) & in_environment(E, T2)))) <=> ![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))),
% 0.14/0.42 inference(quant_intro,[status(thm)],[274])).
% 0.14/0.42 tff(276,plain,
% 0.14/0.42 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~(in_environment(E, T1) & in_environment(E, T2)))) <=> ![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~(in_environment(E, T1) & in_environment(E, T2))))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(277,plain,
% 0.14/0.42 (^[E: $i, T1: $i, T2: $i] : trans(monotonicity(trans(monotonicity(rewrite((greater(T2, T1) | (T2 = T1)) <=> ((T2 = T1) | greater(T2, T1))), (((greater(T2, T1) | (T2 = T1)) | greater(T1, T2)) <=> (((T2 = T1) | greater(T2, T1)) | greater(T1, T2)))), rewrite((((T2 = T1) | greater(T2, T1)) | greater(T1, T2)) <=> (greater(T1, T2) | (T2 = T1) | greater(T2, T1))), (((greater(T2, T1) | (T2 = T1)) | greater(T1, T2)) <=> (greater(T1, T2) | (T2 = T1) | greater(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) | (T2 = T1) | greater(T2, T1))))), rewrite(((in_environment(E, T1) & in_environment(E, T2)) => (greater(T1, T2) | (T2 = T1) | greater(T2, T1))) <=> (greater(T1, T2) | (T2 = T1) | greater(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) | (T2 = T1) | greater(T2, T1) | (~(in_environment(E, T1) & in_environment(E, T2))))))),
% 0.14/0.42 inference(bind,[status(th)],[])).
% 0.14/0.42 tff(278,plain,
% 0.14/0.42 (![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) | (T2 = T1) | greater(T2, T1) | (~(in_environment(E, T1) & in_environment(E, T2))))),
% 0.14/0.42 inference(quant_intro,[status(thm)],[277])).
% 0.14/0.42 tff(279,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/sandbox2/benchmark/theBenchmark.p','mp_times_in_environment')).
% 0.14/0.42 tff(280,plain,
% 0.14/0.42 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~(in_environment(E, T1) & in_environment(E, T2))))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[279, 278])).
% 0.14/0.42 tff(281,plain,
% 0.14/0.42 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~(in_environment(E, T1) & in_environment(E, T2))))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[280, 276])).
% 0.14/0.42 tff(282,plain,(
% 0.14/0.42 ![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~(in_environment(E, T1) & in_environment(E, T2))))),
% 0.14/0.42 inference(skolemize,[status(sab)],[281])).
% 0.14/0.42 tff(283,plain,
% 0.14/0.42 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[282, 275])).
% 0.14/0.42 tff(284,plain,
% 0.14/0.42 (![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[283, 273])).
% 0.14/0.42 tff(285,plain,
% 0.14/0.42 (((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | ((~in_environment(E!2, tptp_fun_To_0(E!2))) | (~in_environment(E!2, tptp_fun_T_1(E!2))) | (tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)) | greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2)))) <=> ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (~in_environment(E!2, tptp_fun_To_0(E!2))) | (~in_environment(E!2, tptp_fun_T_1(E!2))) | (tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)) | greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2)))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(286,plain,
% 0.14/0.42 ((greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2)) | (tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)) | (~in_environment(E!2, tptp_fun_To_0(E!2))) | (~in_environment(E!2, tptp_fun_T_1(E!2)))) <=> ((~in_environment(E!2, tptp_fun_To_0(E!2))) | (~in_environment(E!2, tptp_fun_T_1(E!2))) | (tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)) | greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2)))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(287,plain,
% 0.14/0.42 (((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2)) | (tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)) | (~in_environment(E!2, tptp_fun_To_0(E!2))) | (~in_environment(E!2, tptp_fun_T_1(E!2))))) <=> ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | ((~in_environment(E!2, tptp_fun_To_0(E!2))) | (~in_environment(E!2, tptp_fun_T_1(E!2))) | (tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)) | greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2))))),
% 0.14/0.42 inference(monotonicity,[status(thm)],[286])).
% 0.14/0.42 tff(288,plain,
% 0.14/0.42 (((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2)) | (tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)) | (~in_environment(E!2, tptp_fun_To_0(E!2))) | (~in_environment(E!2, tptp_fun_T_1(E!2))))) <=> ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (~in_environment(E!2, tptp_fun_To_0(E!2))) | (~in_environment(E!2, tptp_fun_T_1(E!2))) | (tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)) | greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2)))),
% 0.14/0.42 inference(transitivity,[status(thm)],[287, 285])).
% 0.14/0.42 tff(289,plain,
% 0.14/0.42 ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2)) | (tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)) | (~in_environment(E!2, tptp_fun_To_0(E!2))) | (~in_environment(E!2, tptp_fun_T_1(E!2))))),
% 0.14/0.42 inference(quant_inst,[status(thm)],[])).
% 0.14/0.42 tff(290,plain,
% 0.14/0.42 ((~![E: $i, T1: $i, T2: $i] : (greater(T1, T2) | (T2 = T1) | greater(T2, T1) | (~in_environment(E, T1)) | (~in_environment(E, T2)))) | (~in_environment(E!2, tptp_fun_To_0(E!2))) | (~in_environment(E!2, tptp_fun_T_1(E!2))) | (tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)) | greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[289, 288])).
% 0.14/0.42 tff(291,plain,
% 0.14/0.42 ((tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[290, 284, 271, 83, 264])).
% 0.14/0.42 tff(292,plain,
% 0.14/0.42 ($false),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[291, 269, 267])).
% 0.14/0.42 tff(293,plain,(((tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))) | greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.42 tff(294,plain,
% 0.14/0.42 ((tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[293, 264])).
% 0.14/0.42 tff(295,plain,
% 0.14/0.42 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)) <=> ((tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))))),
% 0.14/0.42 inference(quant_inst,[status(thm)],[])).
% 0.14/0.42 tff(296,plain,
% 0.14/0.42 (greater_or_equal(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)) <=> ((tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[295, 11])).
% 0.14/0.42 tff(297,assumption,((tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))), introduced(assumption)).
% 0.14/0.42 tff(298,plain,
% 0.14/0.42 ((~(greater_or_equal(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)) <=> ((tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))))) | greater_or_equal(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)) | (~((tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))))),
% 0.14/0.42 inference(tautology,[status(thm)],[])).
% 0.14/0.42 tff(299,plain,
% 0.14/0.42 ((~(greater_or_equal(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)) <=> ((tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))))) | greater_or_equal(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[298, 297])).
% 0.14/0.42 tff(300,plain,
% 0.14/0.42 (greater_or_equal(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[299, 296])).
% 0.14/0.42 tff(301,assumption,(tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_T_1(E!2)), introduced(assumption)).
% 0.14/0.42 tff(302,plain,
% 0.14/0.42 (subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2))) <=> subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))),
% 0.14/0.42 inference(monotonicity,[status(thm)],[301])).
% 0.14/0.42 tff(303,plain,
% 0.14/0.42 (subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2)) <=> subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))),
% 0.14/0.42 inference(symmetry,[status(thm)],[302])).
% 0.14/0.42 tff(304,plain,
% 0.14/0.42 ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) <=> (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.42 inference(monotonicity,[status(thm)],[303])).
% 0.14/0.42 tff(305,assumption,(~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))), introduced(assumption)).
% 0.14/0.42 tff(306,plain,
% 0.14/0.42 (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_T_1(E!2)))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[305, 304])).
% 0.14/0.42 tff(307,plain,
% 0.14/0.42 ($false),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[139, 306])).
% 0.14/0.42 tff(308,plain,((~(tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_T_1(E!2))) | subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.42 tff(309,plain,
% 0.14/0.42 (subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[308, 301])).
% 0.14/0.42 tff(310,plain,
% 0.14/0.42 (((~![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_0(E!2))))) | ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), tptp_fun_To_0(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_0(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(311,plain,
% 0.14/0.42 ((greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)))) <=> ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(312,plain,
% 0.14/0.42 (((~![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_0(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), tptp_fun_To_0(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_0(E!2))))) | ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)))))),
% 0.14/0.42 inference(monotonicity,[status(thm)],[311])).
% 0.14/0.42 tff(313,plain,
% 0.14/0.42 (((~![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_0(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), tptp_fun_To_0(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_0(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))))),
% 0.14/0.42 inference(transitivity,[status(thm)],[312, 310])).
% 0.14/0.42 tff(314,plain,
% 0.14/0.42 ((~![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_0(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))))),
% 0.14/0.42 inference(quant_inst,[status(thm)],[])).
% 0.14/0.42 tff(315,plain,
% 0.14/0.42 ((~![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_0(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[314, 313])).
% 0.14/0.42 tff(316,plain,
% 0.14/0.42 (greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[315, 255, 309])).
% 0.14/0.42 tff(317,plain,
% 0.14/0.42 (greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2)))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[316, 300])).
% 0.14/0.42 tff(318,plain,
% 0.14/0.42 (((~![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_1(E!2))) | (~(((~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))) | (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_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_1(E!2))) | (~(((~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))) | (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_1(E!2)))))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(319,plain,
% 0.14/0.42 (((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_1(E!2))))) <=> ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | (~(((~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))) | (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_1(E!2)))))),
% 0.14/0.42 inference(rewrite,[status(thm)],[])).
% 0.14/0.42 tff(320,plain,
% 0.14/0.42 (((~![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_1(E!2))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_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_1(E!2))) | (~(((~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))) | (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_1(E!2))))))),
% 0.14/0.42 inference(monotonicity,[status(thm)],[319])).
% 0.14/0.42 tff(321,plain,
% 0.14/0.42 (((~![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_1(E!2))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_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_1(E!2))) | (~(((~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))) | (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_1(E!2)))))),
% 0.14/0.42 inference(transitivity,[status(thm)],[320, 318])).
% 0.14/0.42 tff(322,plain,
% 0.14/0.42 ((~![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_1(E!2))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_1(E!2)))))),
% 0.14/0.42 inference(quant_inst,[status(thm)],[])).
% 0.14/0.42 tff(323,plain,
% 0.14/0.42 ((~![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_1(E!2))) | (~(((~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))) | (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_1(E!2))))),
% 0.14/0.42 inference(modus_ponens,[status(thm)],[322, 321])).
% 0.14/0.42 tff(324,plain,
% 0.14/0.42 (~(((~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))) | (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_1(E!2)))),
% 0.14/0.42 inference(unit_resolution,[status(thm)],[323, 202, 64, 309])).
% 0.14/0.42 tff(325,plain,
% 0.14/0.42 (tptp_fun_T_1(E!2) = tptp_fun_T_3(tptp_fun_T_1(E!2))),
% 0.14/0.42 inference(symmetry,[status(thm)],[301])).
% 0.14/0.42 tff(326,plain,
% 0.14/0.42 (outcompetes(efficient_producers, first_movers, tptp_fun_T_1(E!2)) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))),
% 0.14/0.42 inference(monotonicity,[status(thm)],[325])).
% 0.14/0.42 tff(327,plain,
% 0.14/0.42 (outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_1(E!2))),
% 0.14/0.43 inference(symmetry,[status(thm)],[326])).
% 0.14/0.43 tff(328,plain,
% 0.14/0.43 ((~outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) <=> (~outcompetes(efficient_producers, first_movers, tptp_fun_T_1(E!2)))),
% 0.14/0.43 inference(monotonicity,[status(thm)],[327])).
% 0.14/0.43 tff(329,plain,
% 0.14/0.43 (~outcompetes(efficient_producers, first_movers, tptp_fun_T_1(E!2))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[208, 328])).
% 0.14/0.43 tff(330,plain,
% 0.14/0.43 ((((~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))) | (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_1(E!2))) | ((~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))) | (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_1(E!2))),
% 0.14/0.43 inference(tautology,[status(thm)],[])).
% 0.14/0.43 tff(331,plain,
% 0.14/0.43 ((~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))) | (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[330, 329, 324])).
% 0.14/0.43 tff(332,plain,
% 0.14/0.43 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)))),
% 0.14/0.43 inference(quant_inst,[status(thm)],[])).
% 0.14/0.43 tff(333,plain,
% 0.14/0.43 (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[332, 11])).
% 0.14/0.43 tff(334,plain,
% 0.14/0.43 (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = growth_rate(first_movers, tptp_fun_T_1(E!2))),
% 0.14/0.43 inference(monotonicity,[status(thm)],[301])).
% 0.14/0.43 tff(335,plain,
% 0.14/0.43 (growth_rate(first_movers, tptp_fun_T_1(E!2)) = growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))),
% 0.14/0.43 inference(symmetry,[status(thm)],[334])).
% 0.14/0.43 tff(336,plain,
% 0.14/0.43 (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))) = growth_rate(efficient_producers, tptp_fun_T_1(E!2))),
% 0.14/0.43 inference(monotonicity,[status(thm)],[301])).
% 0.14/0.43 tff(337,plain,
% 0.14/0.43 (growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2)))),
% 0.14/0.43 inference(symmetry,[status(thm)],[336])).
% 0.14/0.43 tff(338,assumption,(~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)), introduced(assumption)).
% 0.14/0.43 tff(339,plain,
% 0.14/0.43 (((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2))))) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)),
% 0.14/0.43 inference(tautology,[status(thm)],[])).
% 0.14/0.43 tff(340,plain,
% 0.14/0.43 ((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2))))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[339, 338])).
% 0.14/0.43 tff(341,assumption,(greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2)))), introduced(assumption)).
% 0.14/0.43 tff(342,assumption,(greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)), introduced(assumption)).
% 0.14/0.43 tff(343,plain,
% 0.14/0.43 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero) | (~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2)))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero) | (~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2)))))),
% 0.14/0.43 inference(rewrite,[status(thm)],[])).
% 0.14/0.43 tff(344,plain,
% 0.14/0.43 ((greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero) | (~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2)))) | (~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero))) <=> (greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero) | (~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2)))))),
% 0.14/0.43 inference(rewrite,[status(thm)],[])).
% 0.14/0.43 tff(345,plain,
% 0.14/0.43 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero) | (~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2)))) | (~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero) | (~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2))))))),
% 0.14/0.43 inference(monotonicity,[status(thm)],[344])).
% 0.14/0.43 tff(346,plain,
% 0.14/0.43 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero) | (~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2)))) | (~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero) | (~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2)))))),
% 0.14/0.43 inference(transitivity,[status(thm)],[345, 343])).
% 0.14/0.43 tff(347,plain,
% 0.14/0.43 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero) | (~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2)))) | (~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)))),
% 0.14/0.43 inference(quant_inst,[status(thm)],[])).
% 0.14/0.43 tff(348,plain,
% 0.14/0.43 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero) | (~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2))))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[347, 346])).
% 0.14/0.43 tff(349,plain,
% 0.14/0.43 ($false),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[348, 29, 338, 342, 341])).
% 0.14/0.43 tff(350,plain,((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero) | (~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2))))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.43 tff(351,plain,
% 0.14/0.43 (~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[350, 338, 341])).
% 0.14/0.43 tff(352,plain,
% 0.14/0.43 (((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2))))) | greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)),
% 0.14/0.43 inference(tautology,[status(thm)],[])).
% 0.14/0.43 tff(353,plain,
% 0.14/0.43 ((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2))))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[352, 351])).
% 0.14/0.43 tff(354,plain,
% 0.14/0.43 (((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | ((~environment(E!2)) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))) | (~((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))))) | (~((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))))) <=> ((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))) | (~((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))))) | (~((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))))),
% 0.14/0.43 inference(rewrite,[status(thm)],[])).
% 0.14/0.43 tff(355,plain,
% 0.14/0.43 (((~((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))))) | (~((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2)))) <=> ((~environment(E!2)) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))) | (~((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))))) | (~((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))))),
% 0.14/0.43 inference(rewrite,[status(thm)],[])).
% 0.14/0.43 tff(356,plain,
% 0.14/0.43 ((~((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)))) <=> (~((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero))))),
% 0.14/0.43 inference(rewrite,[status(thm)],[])).
% 0.14/0.43 tff(357,plain,
% 0.14/0.43 ((~((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))))) <=> (~((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2))))))),
% 0.14/0.43 inference(rewrite,[status(thm)],[])).
% 0.14/0.43 tff(358,plain,
% 0.14/0.43 ((~((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))))) <=> (~((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2))))))),
% 0.14/0.43 inference(rewrite,[status(thm)],[])).
% 0.14/0.43 tff(359,plain,
% 0.14/0.43 (((~((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))))) | (~((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2)))) <=> ((~((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))))) | (~((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))))),
% 0.14/0.43 inference(monotonicity,[status(thm)],[358, 357, 356])).
% 0.14/0.43 tff(360,plain,
% 0.14/0.43 (((~((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))))) | (~((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2)))) <=> ((~environment(E!2)) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))) | (~((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))))) | (~((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))))),
% 0.14/0.43 inference(transitivity,[status(thm)],[359, 355])).
% 0.14/0.43 tff(361,plain,
% 0.14/0.43 (((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | ((~((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))))) | (~((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))))) <=> ((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | ((~environment(E!2)) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))) | (~((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))))) | (~((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2)))))),
% 0.14/0.43 inference(monotonicity,[status(thm)],[360])).
% 0.14/0.43 tff(362,plain,
% 0.14/0.43 (((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | ((~((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))))) | (~((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))))) <=> ((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))) | (~((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))))) | (~((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))))),
% 0.14/0.43 inference(transitivity,[status(thm)],[361, 354])).
% 0.14/0.43 tff(363,plain,
% 0.14/0.43 ((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | ((~((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))))) | (~((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2))) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))))),
% 0.14/0.43 inference(quant_inst,[status(thm)],[])).
% 0.14/0.43 tff(364,plain,
% 0.14/0.43 ((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | (~environment(E!2)) | (~greater_or_equal(tptp_fun_T_1(E!2), equilibrium(E!2))) | (~((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))))) | (~((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2)))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[363, 362])).
% 0.14/0.43 tff(365,plain,
% 0.14/0.43 ((~((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))))) | (~((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_1(E!2)))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[364, 152, 64, 106])).
% 0.14/0.43 tff(366,plain,
% 0.14/0.43 (~((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[365, 353, 340, 309])).
% 0.14/0.43 tff(367,plain,
% 0.14/0.43 (((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero))) | (growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)),
% 0.14/0.43 inference(tautology,[status(thm)],[])).
% 0.14/0.43 tff(368,plain,
% 0.14/0.43 (growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[367, 366])).
% 0.14/0.43 tff(369,plain,
% 0.14/0.43 (zero = growth_rate(efficient_producers, tptp_fun_T_1(E!2))),
% 0.14/0.43 inference(symmetry,[status(thm)],[368])).
% 0.14/0.43 tff(370,plain,
% 0.14/0.43 (zero = growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2)))),
% 0.14/0.43 inference(transitivity,[status(thm)],[369, 337])).
% 0.14/0.43 tff(371,plain,
% 0.14/0.43 (greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2))) <=> greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.43 inference(monotonicity,[status(thm)],[370, 335])).
% 0.14/0.43 tff(372,plain,
% 0.14/0.43 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) <=> greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))),
% 0.14/0.43 inference(symmetry,[status(thm)],[371])).
% 0.14/0.43 tff(373,plain,
% 0.14/0.43 (greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2))) <=> greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.43 inference(monotonicity,[status(thm)],[337, 335])).
% 0.14/0.43 tff(374,plain,
% 0.14/0.43 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[341, 373])).
% 0.14/0.43 tff(375,plain,
% 0.14/0.43 (greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[374, 372])).
% 0.14/0.43 tff(376,plain,
% 0.14/0.43 (((growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero))),
% 0.14/0.43 inference(tautology,[status(thm)],[])).
% 0.14/0.43 tff(377,plain,
% 0.14/0.43 ((growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[376, 368])).
% 0.14/0.43 tff(378,plain,
% 0.14/0.43 ((~(greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)))) | greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero) | (~((growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)))),
% 0.14/0.43 inference(tautology,[status(thm)],[])).
% 0.14/0.43 tff(379,plain,
% 0.14/0.43 (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[378, 377, 333])).
% 0.14/0.43 tff(380,plain,
% 0.14/0.43 ((~((~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))) | (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)))) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))) | (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero))),
% 0.14/0.43 inference(tautology,[status(thm)],[])).
% 0.14/0.43 tff(381,plain,
% 0.14/0.43 (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[380, 379, 331])).
% 0.14/0.43 tff(382,plain,
% 0.14/0.43 ($false),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[381, 375])).
% 0.14/0.43 tff(383,plain,(greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero) | (~(tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_T_1(E!2))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2))))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.43 tff(384,plain,
% 0.14/0.43 (greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[383, 301, 317])).
% 0.14/0.43 tff(385,plain,
% 0.14/0.43 (((growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero))),
% 0.14/0.43 inference(tautology,[status(thm)],[])).
% 0.14/0.43 tff(386,plain,
% 0.14/0.43 ((growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[385, 384])).
% 0.14/0.43 tff(387,plain,
% 0.14/0.43 ((~(greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)))) | greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[378, 386])).
% 0.14/0.43 tff(388,plain,
% 0.14/0.43 (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[387, 333])).
% 0.14/0.43 tff(389,plain,
% 0.14/0.43 (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[380, 388, 331])).
% 0.14/0.43 tff(390,plain,
% 0.14/0.43 (((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2))))) | greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))),
% 0.14/0.43 inference(tautology,[status(thm)],[])).
% 0.14/0.43 tff(391,plain,
% 0.14/0.43 ((~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2))))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[390, 389])).
% 0.14/0.43 tff(392,plain,
% 0.14/0.43 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[317, 373])).
% 0.14/0.43 tff(393,assumption,(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero), introduced(assumption)).
% 0.14/0.43 tff(394,plain,
% 0.14/0.43 (zero = growth_rate(efficient_producers, tptp_fun_T_1(E!2))),
% 0.14/0.43 inference(symmetry,[status(thm)],[393])).
% 0.14/0.43 tff(395,plain,
% 0.14/0.43 (zero = growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2)))),
% 0.14/0.43 inference(transitivity,[status(thm)],[394, 337])).
% 0.14/0.43 tff(396,plain,
% 0.14/0.43 (greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2))) <=> greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))),
% 0.14/0.43 inference(monotonicity,[status(thm)],[395, 335])).
% 0.14/0.43 tff(397,plain,
% 0.14/0.43 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2)))) <=> greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))),
% 0.14/0.43 inference(symmetry,[status(thm)],[396])).
% 0.14/0.43 tff(398,plain,
% 0.14/0.43 (greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[1, 397])).
% 0.14/0.43 tff(399,assumption,(~greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2)))), introduced(assumption)).
% 0.14/0.43 tff(400,plain,
% 0.14/0.43 ($false),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[399, 398])).
% 0.14/0.43 tff(401,plain,((~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)) | greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_T_1(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_T_1(E!2))))) | (~(tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_T_1(E!2)))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.43 tff(402,plain,
% 0.14/0.43 (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero)),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[401, 389, 392, 301])).
% 0.14/0.43 tff(403,plain,
% 0.14/0.43 ((~(growth_rate(first_movers, tptp_fun_T_1(E!2)) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_1(E!2)) = zero))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[367, 402])).
% 0.14/0.43 tff(404,plain,
% 0.14/0.43 (~((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[365, 403, 391, 309])).
% 0.14/0.43 tff(405,plain,
% 0.14/0.43 (((~greater(growth_rate(first_movers, tptp_fun_T_1(E!2)), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))),
% 0.14/0.43 inference(tautology,[status(thm)],[])).
% 0.14/0.43 tff(406,plain,
% 0.14/0.43 (greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[405, 404])).
% 0.14/0.43 tff(407,plain,
% 0.14/0.43 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2)))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2)))))),
% 0.14/0.43 inference(rewrite,[status(thm)],[])).
% 0.14/0.43 tff(408,plain,
% 0.14/0.43 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2)))))),
% 0.14/0.43 inference(quant_inst,[status(thm)],[])).
% 0.14/0.43 tff(409,plain,
% 0.14/0.43 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(zero, growth_rate(first_movers, tptp_fun_T_1(E!2))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_1(E!2)))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_1(E!2)), growth_rate(first_movers, tptp_fun_T_1(E!2))))),
% 0.14/0.43 inference(modus_ponens,[status(thm)],[408, 407])).
% 0.14/0.43 tff(410,plain,
% 0.14/0.43 ($false),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[409, 29, 389, 406, 317])).
% 0.14/0.43 tff(411,plain,((~(tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_T_1(E!2))) | (~((tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.43 tff(412,plain,
% 0.14/0.43 (~(tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_T_1(E!2))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[411, 294])).
% 0.14/0.43 tff(413,plain,
% 0.14/0.43 (greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[131, 412])).
% 0.14/0.43 tff(414,plain,
% 0.14/0.43 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2))))),
% 0.14/0.43 inference(quant_inst,[status(thm)],[])).
% 0.14/0.43 tff(415,plain,
% 0.14/0.43 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[414, 11])).
% 0.14/0.43 tff(416,assumption,(~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2))), introduced(assumption)).
% 0.14/0.43 tff(417,plain,
% 0.14/0.43 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2))))) | greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)) | (~((tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2))))),
% 0.14/0.43 inference(tautology,[status(thm)],[])).
% 0.14/0.43 tff(418,plain,
% 0.14/0.43 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)) <=> ((tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2))))) | (~((tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2))))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[417, 416])).
% 0.14/0.43 tff(419,plain,
% 0.14/0.43 (~((tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[418, 415])).
% 0.14/0.43 tff(420,plain,
% 0.14/0.43 (((tptp_fun_T_3(tptp_fun_T_1(E!2)) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)))),
% 0.14/0.43 inference(tautology,[status(thm)],[])).
% 0.14/0.43 tff(421,plain,
% 0.14/0.43 (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2))),
% 0.14/0.43 inference(unit_resolution,[status(thm)],[420, 419])).
% 0.14/0.43 tff(422,assumption,(~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2))), introduced(assumption)).
% 0.14/0.43 tff(423,assumption,(greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))), introduced(assumption)).
% 0.14/0.43 tff(424,plain,
% 0.14/0.43 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | ((~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)) | (~greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)) | (~greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))))),
% 0.14/0.43 inference(rewrite,[status(thm)],[])).
% 0.14/0.43 tff(425,plain,
% 0.14/0.43 ((greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | (~greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)))) <=> ((~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)) | (~greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))))),
% 0.14/0.43 inference(rewrite,[status(thm)],[])).
% 0.14/0.43 tff(426,plain,
% 0.14/0.43 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | (~greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | ((~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)) | (~greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)))))),
% 0.14/0.43 inference(monotonicity,[status(thm)],[425])).
% 0.14/0.44 tff(427,plain,
% 0.14/0.44 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | (~greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)) | (~greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))))),
% 0.14/0.44 inference(transitivity,[status(thm)],[426, 424])).
% 0.14/0.44 tff(428,plain,
% 0.14/0.44 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | (~greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))))),
% 0.14/0.44 inference(quant_inst,[status(thm)],[])).
% 0.14/0.44 tff(429,plain,
% 0.14/0.44 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)) | (~greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2)))),
% 0.14/0.44 inference(modus_ponens,[status(thm)],[428, 427])).
% 0.14/0.44 tff(430,plain,
% 0.14/0.44 ($false),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[429, 29, 114, 423, 422])).
% 0.14/0.44 tff(431,plain,((~greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))) | greater(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.44 tff(432,plain,
% 0.14/0.44 (~greater(tptp_fun_T_1(E!2), tptp_fun_To_0(E!2))),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[431, 421, 413])).
% 0.14/0.44 tff(433,plain,
% 0.14/0.44 (tptp_fun_T_1(E!2) = tptp_fun_To_0(E!2)),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[291, 432])).
% 0.14/0.44 tff(434,plain,
% 0.14/0.44 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2)) <=> greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2))),
% 0.14/0.44 inference(monotonicity,[status(thm)],[433])).
% 0.14/0.44 tff(435,plain,
% 0.14/0.44 (greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)) <=> greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))),
% 0.14/0.44 inference(symmetry,[status(thm)],[434])).
% 0.14/0.44 tff(436,plain,
% 0.14/0.44 ((~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2))) <=> (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2)))),
% 0.14/0.44 inference(monotonicity,[status(thm)],[435])).
% 0.14/0.44 tff(437,plain,
% 0.14/0.44 (~greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_T_1(E!2))),
% 0.14/0.44 inference(modus_ponens,[status(thm)],[416, 436])).
% 0.14/0.44 tff(438,plain,
% 0.14/0.44 ($false),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[99, 437])).
% 0.14/0.44 tff(439,plain,(greater_or_equal(tptp_fun_T_3(tptp_fun_T_1(E!2)), tptp_fun_To_0(E!2)) | greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.44 tff(440,plain,
% 0.14/0.44 (greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2))),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[439, 263])).
% 0.14/0.44 tff(441,assumption,(greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2))), introduced(assumption)).
% 0.14/0.44 tff(442,plain,
% 0.14/0.44 (((~![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_0(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_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_To_0(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))))))),
% 0.14/0.44 inference(rewrite,[status(thm)],[])).
% 0.14/0.44 tff(443,plain,
% 0.14/0.44 ((~![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_0(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))))))),
% 0.14/0.44 inference(quant_inst,[status(thm)],[])).
% 0.14/0.44 tff(444,plain,
% 0.14/0.44 ((~![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_0(E!2))) | (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2)))))),
% 0.14/0.44 inference(modus_ponens,[status(thm)],[443, 442])).
% 0.14/0.44 tff(445,plain,
% 0.14/0.44 (~(outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))))),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[444, 90, 271])).
% 0.14/0.44 tff(446,plain,
% 0.14/0.44 ((outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2)))) | greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))),
% 0.14/0.44 inference(tautology,[status(thm)],[])).
% 0.14/0.44 tff(447,plain,
% 0.14/0.44 (greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[446, 445])).
% 0.14/0.44 tff(448,plain,
% 0.14/0.44 ((outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2)))) | subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))),
% 0.14/0.44 inference(tautology,[status(thm)],[])).
% 0.14/0.44 tff(449,plain,
% 0.14/0.44 (subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[448, 445])).
% 0.14/0.44 tff(450,plain,
% 0.14/0.44 (((~![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_0(E!2))))) | ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(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_0(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))),
% 0.14/0.44 inference(rewrite,[status(thm)],[])).
% 0.14/0.44 tff(451,plain,
% 0.14/0.44 ((greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2)))) <=> ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))),
% 0.14/0.44 inference(rewrite,[status(thm)],[])).
% 0.14/0.44 tff(452,plain,
% 0.14/0.44 (((~![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_0(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(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_0(E!2))))) | ((~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))),
% 0.14/0.44 inference(monotonicity,[status(thm)],[451])).
% 0.14/0.44 tff(453,plain,
% 0.14/0.44 (((~![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_0(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(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_0(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))),
% 0.14/0.44 inference(transitivity,[status(thm)],[452, 450])).
% 0.14/0.44 tff(454,plain,
% 0.14/0.44 ((~![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_0(E!2))))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))))),
% 0.14/0.44 inference(quant_inst,[status(thm)],[])).
% 0.14/0.44 tff(455,plain,
% 0.14/0.44 ((~![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_0(E!2))))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))),
% 0.14/0.44 inference(modus_ponens,[status(thm)],[454, 453])).
% 0.14/0.44 tff(456,plain,
% 0.14/0.44 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[455, 255, 449, 447])).
% 0.14/0.44 tff(457,plain,
% 0.14/0.44 ((~![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_0(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)))),
% 0.14/0.44 inference(quant_inst,[status(thm)],[])).
% 0.14/0.44 tff(458,plain,
% 0.14/0.44 (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero))),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[457, 11])).
% 0.14/0.44 tff(459,assumption,(greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))), introduced(assumption)).
% 0.14/0.44 tff(460,assumption,(~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)), introduced(assumption)).
% 0.14/0.44 tff(461,plain,
% 0.14/0.44 (((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)),
% 0.14/0.44 inference(tautology,[status(thm)],[])).
% 0.14/0.44 tff(462,plain,
% 0.14/0.44 ((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero))),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[461, 460])).
% 0.14/0.44 tff(463,assumption,(greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)), introduced(assumption)).
% 0.14/0.44 tff(464,plain,
% 0.14/0.44 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))),
% 0.14/0.44 inference(rewrite,[status(thm)],[])).
% 0.14/0.44 tff(465,plain,
% 0.14/0.44 ((greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero))) <=> (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))),
% 0.14/0.44 inference(rewrite,[status(thm)],[])).
% 0.14/0.44 tff(466,plain,
% 0.14/0.44 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))))),
% 0.14/0.44 inference(monotonicity,[status(thm)],[465])).
% 0.14/0.44 tff(467,plain,
% 0.14/0.44 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))),
% 0.14/0.44 inference(transitivity,[status(thm)],[466, 464])).
% 0.14/0.44 tff(468,plain,
% 0.14/0.44 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)))),
% 0.14/0.44 inference(quant_inst,[status(thm)],[])).
% 0.14/0.44 tff(469,plain,
% 0.14/0.44 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero) | (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))),
% 0.14/0.44 inference(modus_ponens,[status(thm)],[468, 467])).
% 0.14/0.44 tff(470,plain,
% 0.14/0.44 ($false),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[469, 29, 463, 460, 456])).
% 0.14/0.44 tff(471,plain,((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)), inference(lemma,lemma(discharge,[]))).
% 0.14/0.44 tff(472,plain,
% 0.14/0.44 (~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[471, 460])).
% 0.14/0.44 tff(473,plain,
% 0.14/0.44 (((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))) | greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)),
% 0.14/0.44 inference(tautology,[status(thm)],[])).
% 0.14/0.44 tff(474,plain,
% 0.14/0.44 ((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[473, 472])).
% 0.14/0.44 tff(475,plain,
% 0.14/0.44 (((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))) | (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)))))) <=> ((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))) | (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)))))),
% 0.14/0.44 inference(rewrite,[status(thm)],[])).
% 0.14/0.44 tff(476,plain,
% 0.14/0.44 (((~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)))) <=> ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))) | (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)))))),
% 0.14/0.44 inference(rewrite,[status(thm)],[])).
% 0.14/0.44 tff(477,plain,
% 0.14/0.44 ((~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)))) <=> (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero))))),
% 0.14/0.44 inference(rewrite,[status(thm)],[])).
% 0.14/0.44 tff(478,plain,
% 0.14/0.44 ((~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) <=> (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))))),
% 0.14/0.44 inference(rewrite,[status(thm)],[])).
% 0.14/0.44 tff(479,plain,
% 0.14/0.44 ((~((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) <=> (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero))))),
% 0.14/0.44 inference(rewrite,[status(thm)],[])).
% 0.14/0.44 tff(480,plain,
% 0.14/0.44 (((~((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)))) <=> ((~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))))),
% 0.14/0.44 inference(monotonicity,[status(thm)],[479, 478, 477])).
% 0.14/0.44 tff(481,plain,
% 0.14/0.44 (((~((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)))) <=> ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))) | (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)))))),
% 0.14/0.44 inference(transitivity,[status(thm)],[480, 476])).
% 0.14/0.44 tff(482,plain,
% 0.14/0.44 (((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | ((~((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))))) <=> ((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | ((~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))) | (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero))))))),
% 0.14/0.44 inference(monotonicity,[status(thm)],[481])).
% 0.14/0.44 tff(483,plain,
% 0.14/0.44 (((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | ((~((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))))) <=> ((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))) | (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)))))),
% 0.14/0.44 inference(transitivity,[status(thm)],[482, 475])).
% 0.14/0.44 tff(484,plain,
% 0.14/0.44 ((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | ((~((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))))),
% 0.14/0.44 inference(quant_inst,[status(thm)],[])).
% 0.14/0.44 tff(485,plain,
% 0.14/0.44 ((~![E: $i, T: $i] : ((~((~greater(growth_rate(efficient_producers, T), zero)) | (~greater(zero, growth_rate(first_movers, T))))) | (~((~greater(growth_rate(first_movers, T), zero)) | (~greater(zero, growth_rate(efficient_producers, T))))) | (~((~(growth_rate(first_movers, T) = zero)) | (~(growth_rate(efficient_producers, T) = zero)))) | (~environment(E)) | (~subpopulations(first_movers, efficient_producers, E, T)) | (~greater_or_equal(T, equilibrium(E))))) | (~environment(E!2)) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))) | (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero))))),
% 0.14/0.44 inference(modus_ponens,[status(thm)],[484, 483])).
% 0.14/0.44 tff(486,plain,
% 0.14/0.44 ((~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))) | (~((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero))))),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[485, 152, 64, 449])).
% 0.14/0.44 tff(487,plain,
% 0.14/0.44 (~((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)))),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[486, 474, 459, 462])).
% 0.14/0.44 tff(488,plain,
% 0.14/0.44 (((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero))) | (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)),
% 0.14/0.44 inference(tautology,[status(thm)],[])).
% 0.14/0.44 tff(489,plain,
% 0.14/0.44 (growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[488, 487])).
% 0.14/0.44 tff(490,plain,
% 0.14/0.44 (zero = growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2)))),
% 0.14/0.44 inference(symmetry,[status(thm)],[489])).
% 0.14/0.44 tff(491,plain,
% 0.14/0.44 (((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero))) | (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)),
% 0.14/0.44 inference(tautology,[status(thm)],[])).
% 0.14/0.44 tff(492,plain,
% 0.14/0.44 (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[491, 487])).
% 0.14/0.44 tff(493,plain,
% 0.14/0.44 (growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2)))),
% 0.14/0.44 inference(transitivity,[status(thm)],[492, 490])).
% 0.14/0.44 tff(494,plain,
% 0.14/0.44 (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))) <=> greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))),
% 0.14/0.44 inference(monotonicity,[status(thm)],[493])).
% 0.14/0.44 tff(495,plain,
% 0.14/0.44 (greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2)))) <=> greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))),
% 0.14/0.44 inference(symmetry,[status(thm)],[494])).
% 0.14/0.44 tff(496,plain,
% 0.14/0.44 ((~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) <=> (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))),
% 0.14/0.44 inference(monotonicity,[status(thm)],[495])).
% 0.14/0.44 tff(497,plain,
% 0.14/0.44 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero) <=> greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))),
% 0.14/0.44 inference(monotonicity,[status(thm)],[489, 490])).
% 0.14/0.44 tff(498,plain,
% 0.14/0.44 ((~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) <=> (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))),
% 0.14/0.44 inference(monotonicity,[status(thm)],[497])).
% 0.14/0.44 tff(499,plain,
% 0.14/0.44 (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))),
% 0.14/0.44 inference(modus_ponens,[status(thm)],[460, 498])).
% 0.14/0.44 tff(500,plain,
% 0.14/0.44 (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))),
% 0.14/0.44 inference(modus_ponens,[status(thm)],[499, 496])).
% 0.14/0.44 tff(501,plain,
% 0.14/0.44 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))) <=> greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))),
% 0.14/0.44 inference(monotonicity,[status(thm)],[489])).
% 0.14/0.44 tff(502,plain,
% 0.14/0.44 (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))),
% 0.14/0.44 inference(modus_ponens,[status(thm)],[456, 501])).
% 0.14/0.44 tff(503,plain,
% 0.14/0.44 ($false),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[502, 500])).
% 0.14/0.44 tff(504,plain,(greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.44 tff(505,plain,
% 0.14/0.44 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[504, 459])).
% 0.14/0.44 tff(506,plain,
% 0.14/0.44 (((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero))),
% 0.14/0.44 inference(tautology,[status(thm)],[])).
% 0.14/0.44 tff(507,plain,
% 0.14/0.44 ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[506, 505])).
% 0.14/0.44 tff(508,plain,
% 0.14/0.44 ((~(greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)))) | greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero) | (~((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)))),
% 0.14/0.44 inference(tautology,[status(thm)],[])).
% 0.14/0.44 tff(509,plain,
% 0.14/0.44 ((~(greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero) <=> ((growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero) | greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)))) | greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[508, 507])).
% 0.14/0.44 tff(510,plain,
% 0.14/0.44 (greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)),
% 0.14/0.44 inference(unit_resolution,[status(thm)],[509, 458])).
% 0.14/0.44 tff(511,plain,
% 0.14/0.44 (((~![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_0(E!2)))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_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_To_0(E!2)))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))),
% 0.14/0.45 inference(rewrite,[status(thm)],[])).
% 0.14/0.45 tff(512,plain,
% 0.14/0.45 ((~![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_0(E!2)))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))),
% 0.14/0.45 inference(quant_inst,[status(thm)],[])).
% 0.14/0.45 tff(513,plain,
% 0.14/0.45 ((~![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_0(E!2)))) | (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[512, 511])).
% 0.14/0.45 tff(514,plain,
% 0.14/0.45 (~(((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[513, 202, 64, 449])).
% 0.14/0.45 tff(515,plain,
% 0.14/0.45 ((outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) | (~subpopulations(first_movers, efficient_producers, E!2, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2)))) | (~outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))),
% 0.14/0.45 inference(tautology,[status(thm)],[])).
% 0.14/0.45 tff(516,plain,
% 0.14/0.45 (~outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[515, 445])).
% 0.14/0.45 tff(517,plain,
% 0.14/0.45 ((((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))) | outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))),
% 0.14/0.45 inference(tautology,[status(thm)],[])).
% 0.14/0.45 tff(518,plain,
% 0.14/0.45 ((((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))) <=> outcompetes(efficient_producers, first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[517, 516])).
% 0.14/0.45 tff(519,plain,
% 0.14/0.45 ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[518, 514])).
% 0.14/0.45 tff(520,plain,
% 0.14/0.45 ((~((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) | (~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))),
% 0.14/0.45 inference(tautology,[status(thm)],[])).
% 0.14/0.45 tff(521,plain,
% 0.14/0.45 ((~greater_or_equal(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[520, 519])).
% 0.14/0.45 tff(522,plain,
% 0.14/0.45 (~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[521, 510])).
% 0.14/0.45 tff(523,plain,
% 0.14/0.45 (((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))),
% 0.14/0.45 inference(tautology,[status(thm)],[])).
% 0.14/0.45 tff(524,plain,
% 0.14/0.45 ((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[523, 522])).
% 0.14/0.45 tff(525,assumption,(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero), introduced(assumption)).
% 0.14/0.45 tff(526,plain,
% 0.14/0.45 (greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))) <=> greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))),
% 0.14/0.45 inference(monotonicity,[status(thm)],[525])).
% 0.14/0.45 tff(527,plain,
% 0.14/0.45 (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))) <=> greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))),
% 0.14/0.45 inference(symmetry,[status(thm)],[526])).
% 0.14/0.45 tff(528,plain,
% 0.14/0.45 ((~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) <=> (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))),
% 0.14/0.45 inference(monotonicity,[status(thm)],[527])).
% 0.14/0.45 tff(529,assumption,(~greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))), introduced(assumption)).
% 0.14/0.45 tff(530,plain,
% 0.14/0.45 (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[529, 528])).
% 0.14/0.45 tff(531,plain,
% 0.14/0.45 ($false),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[456, 530])).
% 0.14/0.45 tff(532,plain,((~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.45 tff(533,plain,
% 0.14/0.45 (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[532, 522])).
% 0.14/0.45 tff(534,plain,
% 0.14/0.45 ((~(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero)) | (~(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))) = zero))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[488, 533])).
% 0.14/0.45 tff(535,plain,
% 0.14/0.45 (~((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[486, 534, 459, 524])).
% 0.14/0.45 tff(536,plain,
% 0.14/0.45 (((~greater(growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))), zero)) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))) | greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))),
% 0.14/0.45 inference(tautology,[status(thm)],[])).
% 0.14/0.45 tff(537,plain,
% 0.14/0.45 (greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[536, 535])).
% 0.14/0.45 tff(538,plain,
% 0.14/0.45 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))),
% 0.14/0.45 inference(rewrite,[status(thm)],[])).
% 0.14/0.45 tff(539,plain,
% 0.14/0.45 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2))))))),
% 0.14/0.45 inference(quant_inst,[status(thm)],[])).
% 0.14/0.45 tff(540,plain,
% 0.14/0.45 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | greater(zero, growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))) | (~greater(zero, growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))))) | (~greater(growth_rate(efficient_producers, tptp_fun_T_3(tptp_fun_To_0(E!2))), growth_rate(first_movers, tptp_fun_T_3(tptp_fun_To_0(E!2)))))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[539, 538])).
% 0.14/0.45 tff(541,plain,
% 0.14/0.45 ($false),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[540, 29, 522, 537, 456])).
% 0.14/0.45 tff(542,plain,(~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.45 tff(543,plain,
% 0.14/0.45 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)) <=> ((tptp_fun_T_3(tptp_fun_To_0(E!2)) = equilibrium(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))))),
% 0.14/0.45 inference(quant_inst,[status(thm)],[])).
% 0.14/0.45 tff(544,plain,
% 0.14/0.45 (greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)) <=> ((tptp_fun_T_3(tptp_fun_To_0(E!2)) = equilibrium(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[543, 11])).
% 0.14/0.45 tff(545,assumption,(~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))), introduced(assumption)).
% 0.14/0.45 tff(546,plain,
% 0.14/0.45 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)) <=> ((tptp_fun_T_3(tptp_fun_To_0(E!2)) = equilibrium(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))))) | greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)) | (~((tptp_fun_T_3(tptp_fun_To_0(E!2)) = equilibrium(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))))),
% 0.14/0.45 inference(tautology,[status(thm)],[])).
% 0.14/0.45 tff(547,plain,
% 0.14/0.45 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)) <=> ((tptp_fun_T_3(tptp_fun_To_0(E!2)) = equilibrium(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))))) | (~((tptp_fun_T_3(tptp_fun_To_0(E!2)) = equilibrium(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[546, 545])).
% 0.14/0.45 tff(548,plain,
% 0.14/0.45 (~((tptp_fun_T_3(tptp_fun_To_0(E!2)) = equilibrium(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[547, 544])).
% 0.14/0.45 tff(549,plain,
% 0.14/0.45 (((tptp_fun_T_3(tptp_fun_To_0(E!2)) = equilibrium(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))) | (~greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)))),
% 0.14/0.45 inference(tautology,[status(thm)],[])).
% 0.14/0.45 tff(550,plain,
% 0.14/0.45 (~greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[549, 548])).
% 0.14/0.45 tff(551,assumption,(greater(tptp_fun_To_0(E!2), equilibrium(E!2))), introduced(assumption)).
% 0.14/0.45 tff(552,plain,
% 0.14/0.45 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(tptp_fun_To_0(E!2), equilibrium(E!2)) <=> ((tptp_fun_To_0(E!2) = equilibrium(E!2)) | greater(tptp_fun_To_0(E!2), equilibrium(E!2))))),
% 0.14/0.45 inference(quant_inst,[status(thm)],[])).
% 0.14/0.45 tff(553,plain,
% 0.14/0.45 (greater_or_equal(tptp_fun_To_0(E!2), equilibrium(E!2)) <=> ((tptp_fun_To_0(E!2) = equilibrium(E!2)) | greater(tptp_fun_To_0(E!2), equilibrium(E!2)))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[552, 11])).
% 0.14/0.45 tff(554,plain,
% 0.14/0.45 (((tptp_fun_To_0(E!2) = equilibrium(E!2)) | greater(tptp_fun_To_0(E!2), equilibrium(E!2))) | (~greater(tptp_fun_To_0(E!2), equilibrium(E!2)))),
% 0.14/0.45 inference(tautology,[status(thm)],[])).
% 0.14/0.45 tff(555,plain,
% 0.14/0.45 ((tptp_fun_To_0(E!2) = equilibrium(E!2)) | greater(tptp_fun_To_0(E!2), equilibrium(E!2))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[554, 551])).
% 0.14/0.45 tff(556,plain,
% 0.14/0.45 ((~(greater_or_equal(tptp_fun_To_0(E!2), equilibrium(E!2)) <=> ((tptp_fun_To_0(E!2) = equilibrium(E!2)) | greater(tptp_fun_To_0(E!2), equilibrium(E!2))))) | greater_or_equal(tptp_fun_To_0(E!2), equilibrium(E!2)) | (~((tptp_fun_To_0(E!2) = equilibrium(E!2)) | greater(tptp_fun_To_0(E!2), equilibrium(E!2))))),
% 0.14/0.45 inference(tautology,[status(thm)],[])).
% 0.14/0.45 tff(557,plain,
% 0.14/0.45 ((~(greater_or_equal(tptp_fun_To_0(E!2), equilibrium(E!2)) <=> ((tptp_fun_To_0(E!2) = equilibrium(E!2)) | greater(tptp_fun_To_0(E!2), equilibrium(E!2))))) | greater_or_equal(tptp_fun_To_0(E!2), equilibrium(E!2))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[556, 555])).
% 0.14/0.45 tff(558,plain,
% 0.14/0.45 (greater_or_equal(tptp_fun_To_0(E!2), equilibrium(E!2))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[557, 553])).
% 0.14/0.45 tff(559,assumption,(tptp_fun_T_3(tptp_fun_To_0(E!2)) = tptp_fun_To_0(E!2)), introduced(assumption)).
% 0.14/0.45 tff(560,plain,
% 0.14/0.45 (greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)) <=> greater_or_equal(tptp_fun_To_0(E!2), equilibrium(E!2))),
% 0.14/0.45 inference(monotonicity,[status(thm)],[559])).
% 0.14/0.45 tff(561,plain,
% 0.14/0.45 (greater_or_equal(tptp_fun_To_0(E!2), equilibrium(E!2)) <=> greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))),
% 0.14/0.45 inference(symmetry,[status(thm)],[560])).
% 0.14/0.45 tff(562,assumption,(greater_or_equal(tptp_fun_To_0(E!2), equilibrium(E!2))), introduced(assumption)).
% 0.14/0.45 tff(563,plain,
% 0.14/0.45 (greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[562, 561])).
% 0.14/0.45 tff(564,plain,
% 0.14/0.45 ($false),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[545, 563])).
% 0.14/0.45 tff(565,plain,((~(tptp_fun_T_3(tptp_fun_To_0(E!2)) = tptp_fun_To_0(E!2))) | greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)) | (~greater_or_equal(tptp_fun_To_0(E!2), equilibrium(E!2)))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.45 tff(566,plain,
% 0.14/0.45 (~(tptp_fun_T_3(tptp_fun_To_0(E!2)) = tptp_fun_To_0(E!2))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[565, 545, 558])).
% 0.14/0.45 tff(567,plain,
% 0.14/0.45 ((~![X: $i, Y: $i] : (greater_or_equal(X, Y) <=> ((X = Y) | greater(X, Y)))) | (greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2)) <=> ((tptp_fun_T_3(tptp_fun_To_0(E!2)) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))))),
% 0.14/0.45 inference(quant_inst,[status(thm)],[])).
% 0.14/0.45 tff(568,plain,
% 0.14/0.45 (greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2)) <=> ((tptp_fun_T_3(tptp_fun_To_0(E!2)) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2)))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[567, 11])).
% 0.14/0.45 tff(569,plain,
% 0.14/0.45 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2)) <=> ((tptp_fun_T_3(tptp_fun_To_0(E!2)) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))))) | (~greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))) | ((tptp_fun_T_3(tptp_fun_To_0(E!2)) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2)))),
% 0.14/0.45 inference(tautology,[status(thm)],[])).
% 0.14/0.45 tff(570,plain,
% 0.14/0.45 ((~(greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2)) <=> ((tptp_fun_T_3(tptp_fun_To_0(E!2)) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))))) | ((tptp_fun_T_3(tptp_fun_To_0(E!2)) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2)))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[569, 447])).
% 0.14/0.45 tff(571,plain,
% 0.14/0.45 ((tptp_fun_T_3(tptp_fun_To_0(E!2)) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[570, 568])).
% 0.14/0.45 tff(572,plain,
% 0.14/0.45 ((~((tptp_fun_T_3(tptp_fun_To_0(E!2)) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2)))) | (tptp_fun_T_3(tptp_fun_To_0(E!2)) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))),
% 0.14/0.45 inference(tautology,[status(thm)],[])).
% 0.14/0.45 tff(573,plain,
% 0.14/0.45 ((tptp_fun_T_3(tptp_fun_To_0(E!2)) = tptp_fun_To_0(E!2)) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[572, 571])).
% 0.14/0.45 tff(574,plain,
% 0.14/0.45 (greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[573, 566])).
% 0.14/0.45 tff(575,plain,
% 0.14/0.45 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | ((~greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)) | (~greater(tptp_fun_To_0(E!2), equilibrium(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)) | (~greater(tptp_fun_To_0(E!2), equilibrium(E!2))))),
% 0.14/0.45 inference(rewrite,[status(thm)],[])).
% 0.14/0.45 tff(576,plain,
% 0.14/0.45 ((greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))) | (~greater(tptp_fun_To_0(E!2), equilibrium(E!2)))) <=> ((~greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)) | (~greater(tptp_fun_To_0(E!2), equilibrium(E!2))))),
% 0.14/0.45 inference(rewrite,[status(thm)],[])).
% 0.14/0.45 tff(577,plain,
% 0.14/0.45 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))) | (~greater(tptp_fun_To_0(E!2), equilibrium(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | ((~greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)) | (~greater(tptp_fun_To_0(E!2), equilibrium(E!2)))))),
% 0.14/0.45 inference(monotonicity,[status(thm)],[576])).
% 0.14/0.45 tff(578,plain,
% 0.14/0.45 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))) | (~greater(tptp_fun_To_0(E!2), equilibrium(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)) | (~greater(tptp_fun_To_0(E!2), equilibrium(E!2))))),
% 0.14/0.45 inference(transitivity,[status(thm)],[577, 575])).
% 0.14/0.45 tff(579,plain,
% 0.14/0.45 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)) | (~greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))) | (~greater(tptp_fun_To_0(E!2), equilibrium(E!2))))),
% 0.14/0.45 inference(quant_inst,[status(thm)],[])).
% 0.14/0.45 tff(580,plain,
% 0.14/0.45 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), tptp_fun_To_0(E!2))) | greater(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)) | (~greater(tptp_fun_To_0(E!2), equilibrium(E!2)))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[579, 578])).
% 0.14/0.45 tff(581,plain,
% 0.14/0.45 ($false),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[580, 29, 574, 551, 550])).
% 0.14/0.45 tff(582,plain,(greater_or_equal(tptp_fun_T_3(tptp_fun_To_0(E!2)), equilibrium(E!2)) | (~greater(tptp_fun_To_0(E!2), equilibrium(E!2)))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.45 tff(583,plain,
% 0.14/0.45 (~greater(tptp_fun_To_0(E!2), equilibrium(E!2))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[582, 542])).
% 0.14/0.45 tff(584,plain,
% 0.14/0.45 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | ((~greater(tptp_fun_T_1(E!2), equilibrium(E!2))) | greater(tptp_fun_To_0(E!2), equilibrium(E!2)) | (~greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(tptp_fun_T_1(E!2), equilibrium(E!2))) | greater(tptp_fun_To_0(E!2), equilibrium(E!2)) | (~greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2))))),
% 0.14/0.45 inference(rewrite,[status(thm)],[])).
% 0.14/0.45 tff(585,plain,
% 0.14/0.45 ((greater(tptp_fun_To_0(E!2), equilibrium(E!2)) | (~greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2))) | (~greater(tptp_fun_T_1(E!2), equilibrium(E!2)))) <=> ((~greater(tptp_fun_T_1(E!2), equilibrium(E!2))) | greater(tptp_fun_To_0(E!2), equilibrium(E!2)) | (~greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2))))),
% 0.14/0.45 inference(rewrite,[status(thm)],[])).
% 0.14/0.45 tff(586,plain,
% 0.14/0.45 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(tptp_fun_To_0(E!2), equilibrium(E!2)) | (~greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2))) | (~greater(tptp_fun_T_1(E!2), equilibrium(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | ((~greater(tptp_fun_T_1(E!2), equilibrium(E!2))) | greater(tptp_fun_To_0(E!2), equilibrium(E!2)) | (~greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2)))))),
% 0.14/0.45 inference(monotonicity,[status(thm)],[585])).
% 0.14/0.45 tff(587,plain,
% 0.14/0.45 (((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(tptp_fun_To_0(E!2), equilibrium(E!2)) | (~greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2))) | (~greater(tptp_fun_T_1(E!2), equilibrium(E!2))))) <=> ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(tptp_fun_T_1(E!2), equilibrium(E!2))) | greater(tptp_fun_To_0(E!2), equilibrium(E!2)) | (~greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2))))),
% 0.14/0.45 inference(transitivity,[status(thm)],[586, 584])).
% 0.14/0.45 tff(588,plain,
% 0.14/0.45 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (greater(tptp_fun_To_0(E!2), equilibrium(E!2)) | (~greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2))) | (~greater(tptp_fun_T_1(E!2), equilibrium(E!2))))),
% 0.14/0.45 inference(quant_inst,[status(thm)],[])).
% 0.14/0.45 tff(589,plain,
% 0.14/0.45 ((~![X: $i, Y: $i, Z: $i] : (greater(X, Z) | (~greater(X, Y)) | (~greater(Y, Z)))) | (~greater(tptp_fun_T_1(E!2), equilibrium(E!2))) | greater(tptp_fun_To_0(E!2), equilibrium(E!2)) | (~greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2)))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[588, 587])).
% 0.14/0.45 tff(590,plain,
% 0.14/0.45 ($false),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[589, 29, 115, 583, 441])).
% 0.14/0.45 tff(591,plain,((~greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2))) | (~greater(tptp_fun_T_1(E!2), equilibrium(E!2)))), inference(lemma,lemma(discharge,[]))).
% 0.14/0.45 tff(592,plain,
% 0.14/0.45 (~greater(tptp_fun_T_1(E!2), equilibrium(E!2))),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[591, 440])).
% 0.14/0.45 tff(593,plain,
% 0.14/0.45 (tptp_fun_T_1(E!2) = equilibrium(E!2)),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[111, 592])).
% 0.14/0.45 tff(594,plain,
% 0.14/0.45 (greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2)) <=> greater(tptp_fun_To_0(E!2), equilibrium(E!2))),
% 0.14/0.45 inference(monotonicity,[status(thm)],[593])).
% 0.14/0.45 tff(595,plain,
% 0.14/0.45 (greater(tptp_fun_To_0(E!2), equilibrium(E!2)) <=> greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2))),
% 0.14/0.45 inference(symmetry,[status(thm)],[594])).
% 0.14/0.45 tff(596,plain,
% 0.14/0.45 ((~greater(tptp_fun_To_0(E!2), equilibrium(E!2))) <=> (~greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2)))),
% 0.14/0.45 inference(monotonicity,[status(thm)],[595])).
% 0.14/0.45 tff(597,plain,
% 0.14/0.45 (~greater(tptp_fun_To_0(E!2), tptp_fun_T_1(E!2))),
% 0.14/0.45 inference(modus_ponens,[status(thm)],[583, 596])).
% 0.14/0.45 tff(598,plain,
% 0.14/0.45 ($false),
% 0.14/0.45 inference(unit_resolution,[status(thm)],[440, 597])).
% 0.14/0.45 % SZS output end Proof
% 0.14/0.45 % E exiting
%------------------------------------------------------------------------------