0.00/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.gMHsUV3jfA 0.11/0.32 % Computer : n023.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 960 0.11/0.32 % DateTime : Thu Jul 2 07:16:34 EDT 2020 0.11/0.32 % CPUTime : 0.11/0.32 % Running portfolio for 120 s 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.11/0.32 % Number of cores: 8 0.11/0.33 % Python version: Python 3.6.8 0.11/0.33 % Running in FO mode 10.40/10.64 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 10.40/10.64 % Solved by: fo/fo7.sh 10.40/10.64 To remain in the chosen logic fragment, unification with booleans has been disabled. 10.40/10.64 % done 19590 iterations in 10.062s 10.40/10.64 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 10.40/10.64 % SZS output start Refutation 10.40/10.64 tff(a4, axiom, 10.40/10.64 (![E]: 10.40/10.64 ((environment(E) & stable(E)) => 10.40/10.64 (?[T]: (greater_or_equal(T,equilibrium(E)) & in_environment(E,T)))))). 10.40/10.64 tff('0', plain, 10.40/10.64 ![X19]: 10.40/10.64 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.64 inference('cnf', [status(esa)], [a4])). 10.40/10.64 tff(prove_t4, conjecture, 10.40/10.64 (![E]: 10.40/10.64 ((environment(E) & stable(E)) => 10.40/10.64 (?[To]: 10.40/10.64 (in_environment(E,To) & 10.40/10.64 (![T]: 10.40/10.64 ((greater_or_equal(T,To) & 10.40/10.64 subpopulations(first_movers,efficient_producers,E,T)) => 10.40/10.64 outcompetes(efficient_producers,first_movers,T)))))))). 10.40/10.64 tff(zf_stmt_0, negated_conjecture, 10.40/10.64 (~ 10.40/10.64 (![E]: 10.40/10.64 ((environment(E) & stable(E)) => 10.40/10.64 (?[To]: 10.40/10.64 (in_environment(E,To) & 10.40/10.64 (![T]: 10.40/10.64 ((greater_or_equal(T,To) & 10.40/10.64 subpopulations(first_movers,efficient_producers,E,T)) => 10.40/10.64 outcompetes(efficient_producers,first_movers,T))))))))). 10.40/10.64 tff('1', plain, 10.40/10.64 ![X12]: 10.40/10.64 (~ in_environment(sk_E, X12) 10.40/10.64 | subpopulations(first_movers, efficient_producers, sk_E, sk_T(X12))), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('2', plain, 10.40/10.64 (~ environment(sk_E) 10.40/10.64 | ~ stable(sk_E) 10.40/10.64 | subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.64 sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['0', '1'])). 10.40/10.64 tff('3', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('4', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('5', plain, 10.40/10.64 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.64 sk_T(sk_T_1(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['2', '3', '4'])). 10.40/10.64 tff(l1, axiom, 10.40/10.64 (![E]: 10.40/10.64 ((stable(E) & environment(E)) => 10.40/10.64 (?[To]: 10.40/10.64 (in_environment(E,To) & 10.40/10.64 (![T]: 10.40/10.64 ((subpopulations(first_movers,efficient_producers,E,T) & 10.40/10.64 greater_or_equal(T,To)) => 10.40/10.64 greater(growth_rate(efficient_producers,T), 10.40/10.64 growth_rate(first_movers,T))))))))). 10.40/10.64 tff('6', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('7', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('8', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('9', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('10', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('11', plain, 10.40/10.64 ![X12]: 10.40/10.64 (~ in_environment(sk_E, X12) 10.40/10.64 | subpopulations(first_movers, efficient_producers, sk_E, sk_T(X12))), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('12', plain, 10.40/10.64 (~ stable(sk_E) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.64 sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['10', '11'])). 10.40/10.64 tff('13', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('14', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('15', plain, 10.40/10.64 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.64 sk_T(sk_To(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['12', '13', '14'])). 10.40/10.64 tff('16', plain, 10.40/10.64 ![X19]: 10.40/10.64 ( greater_or_equal(sk_T_1(X19), equilibrium(X19)) 10.40/10.64 | ~ stable(X19) 10.40/10.64 | ~ environment(X19)), 10.40/10.64 inference('cnf', [status(esa)], [a4])). 10.40/10.64 tff(mp_greater_or_equal, axiom, 10.40/10.64 (![X,Y]: (((X = Y) | greater(X,Y)) <=> greater_or_equal(X,Y)))). 10.40/10.64 tff('17', plain, 10.40/10.64 ![X16, X18]: 10.40/10.64 ( greater(X16, X18) | X16 = X18 | ~ greater_or_equal(X16, X18)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('18', plain, 10.40/10.64 ![X0]: 10.40/10.64 (~ environment(X0) 10.40/10.64 | ~ stable(X0) 10.40/10.64 | sk_T_1(X0) = equilibrium(X0) 10.40/10.64 | greater(sk_T_1(X0), equilibrium(X0))), 10.40/10.64 inference('sup-', [status(thm)], ['16', '17'])). 10.40/10.64 tff('19', plain, 10.40/10.64 ![X19]: 10.40/10.64 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.64 inference('cnf', [status(esa)], [a4])). 10.40/10.64 tff('20', plain, 10.40/10.64 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.64 sk_T(sk_T_1(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['2', '3', '4'])). 10.40/10.64 tff('21', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('22', plain, 10.40/10.64 ![X19]: 10.40/10.64 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.64 inference('cnf', [status(esa)], [a4])). 10.40/10.64 tff('23', plain, 10.40/10.64 ![X19]: 10.40/10.64 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.64 inference('cnf', [status(esa)], [a4])). 10.40/10.64 tff('24', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('25', plain, 10.40/10.64 ![X19]: 10.40/10.64 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.64 inference('cnf', [status(esa)], [a4])). 10.40/10.64 tff('26', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('27', plain, 10.40/10.64 ![X19]: 10.40/10.64 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.64 inference('cnf', [status(esa)], [a4])). 10.40/10.64 tff('28', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('29', plain, 10.40/10.64 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.64 sk_T(sk_To(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['12', '13', '14'])). 10.40/10.64 tff('30', plain, 10.40/10.64 ![X0]: 10.40/10.64 (~ environment(X0) 10.40/10.64 | ~ stable(X0) 10.40/10.64 | sk_T_1(X0) = equilibrium(X0) 10.40/10.64 | greater(sk_T_1(X0), equilibrium(X0))), 10.40/10.64 inference('sup-', [status(thm)], ['16', '17'])). 10.40/10.64 tff('31', plain, 10.40/10.64 ![X19]: 10.40/10.64 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.64 inference('cnf', [status(esa)], [a4])). 10.40/10.64 tff('32', plain, 10.40/10.64 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.64 sk_T(sk_T_1(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['2', '3', '4'])). 10.40/10.64 tff('33', plain, 10.40/10.64 ![X0]: 10.40/10.64 (~ environment(X0) 10.40/10.64 | ~ stable(X0) 10.40/10.64 | sk_T_1(X0) = equilibrium(X0) 10.40/10.64 | greater(sk_T_1(X0), equilibrium(X0))), 10.40/10.64 inference('sup-', [status(thm)], ['16', '17'])). 10.40/10.64 tff('34', plain, 10.40/10.64 ![X19]: 10.40/10.64 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.64 inference('cnf', [status(esa)], [a4])). 10.40/10.64 tff('35', plain, 10.40/10.64 ![X12]: (~ in_environment(sk_E, X12) | greater_or_equal(sk_T(X12), X12)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('36', plain, 10.40/10.64 (~ environment(sk_E) 10.40/10.64 | ~ stable(sk_E) 10.40/10.64 | greater_or_equal(sk_T(sk_T_1(sk_E)), sk_T_1(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['34', '35'])). 10.40/10.64 tff('37', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('38', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('39', plain, greater_or_equal(sk_T(sk_T_1(sk_E)), sk_T_1(sk_E)), 10.40/10.64 inference('demod', [status(thm)], ['36', '37', '38'])). 10.40/10.64 tff('40', plain, 10.40/10.64 ![X16, X18]: 10.40/10.64 ( greater(X16, X18) | X16 = X18 | ~ greater_or_equal(X16, X18)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('41', plain, 10.40/10.64 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_T(sk_T_1(sk_E)), sk_T_1(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['39', '40'])). 10.40/10.64 tff(mp_greater_transitivity, axiom, 10.40/10.64 (![X,Y,Z]: ((greater(X,Y) & greater(Y,Z)) => greater(X,Z)))). 10.40/10.64 tff('42', plain, 10.40/10.64 ![X13, X14, X15]: 10.40/10.64 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.64 tff('43', plain, 10.40/10.64 ![X0]: 10.40/10.64 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_T(sk_T_1(sk_E)), X0) 10.40/10.64 | ~ greater(sk_T_1(sk_E), X0)), 10.40/10.64 inference('sup-', [status(thm)], ['41', '42'])). 10.40/10.64 tff('44', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | ~ stable(sk_E) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | greater(sk_T(sk_T_1(sk_E)), equilibrium(sk_E)) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['33', '43'])). 10.40/10.64 tff('45', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('46', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('47', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(sk_T(sk_T_1(sk_E)), equilibrium(sk_E)) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.40/10.64 inference('demod', [status(thm)], ['44', '45', '46'])). 10.40/10.64 tff('48', plain, 10.40/10.64 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('49', plain, 10.40/10.64 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater_or_equal(sk_T(sk_T_1(sk_E)), equilibrium(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['47', '48'])). 10.40/10.64 tff('50', plain, 10.40/10.64 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.64 sk_T(sk_T_1(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['2', '3', '4'])). 10.40/10.64 tff(l6, axiom, 10.40/10.64 (![E,T]: 10.40/10.64 ((subpopulations(first_movers,efficient_producers,E,T) & 10.40/10.64 greater_or_equal(T,equilibrium(E)) & environment(E)) => 10.40/10.64 (((zero = growth_rate(first_movers,T)) & 10.40/10.64 (growth_rate(efficient_producers,T) = zero)) | 10.40/10.64 (greater(zero,growth_rate(first_movers,T)) & 10.40/10.64 greater(growth_rate(efficient_producers,T),zero)) | 10.40/10.64 (greater(growth_rate(first_movers,T),zero) & 10.40/10.64 greater(zero,growth_rate(efficient_producers,T))))))). 10.40/10.64 tff(zf_stmt_1, type, zip_tseitin_2 : ($i > $o)). 10.40/10.64 tff(zf_stmt_2, axiom, 10.40/10.64 (zip_tseitin_2(T) => 10.40/10.64 (greater(zero,growth_rate(efficient_producers,T)) & 10.40/10.64 greater(growth_rate(first_movers,T),zero)))). 10.40/10.64 tff(zf_stmt_3, type, zip_tseitin_1 : ($i > $o)). 10.40/10.64 tff(zf_stmt_4, axiom, 10.40/10.64 (zip_tseitin_1(T) => 10.40/10.64 (greater(growth_rate(efficient_producers,T),zero) & 10.40/10.64 greater(zero,growth_rate(first_movers,T))))). 10.40/10.64 tff(zf_stmt_5, type, zip_tseitin_0 : ($i > $o)). 10.40/10.64 tff(zf_stmt_6, axiom, 10.40/10.64 (zip_tseitin_0(T) => 10.40/10.64 ((growth_rate(efficient_producers,T) = zero) & 10.40/10.64 (zero = growth_rate(first_movers,T))))). 10.40/10.64 tff(zf_stmt_7, axiom, 10.40/10.64 (![E,T]: 10.40/10.64 ((environment(E) & greater_or_equal(T,equilibrium(E)) & 10.40/10.64 subpopulations(first_movers,efficient_producers,E,T)) => 10.40/10.64 (zip_tseitin_2(T) | zip_tseitin_1(T) | zip_tseitin_0(T))))). 10.40/10.64 tff('51', plain, 10.40/10.64 ![X1, X2]: 10.40/10.64 (~ environment(X1) 10.40/10.64 | ~ greater_or_equal(X2, equilibrium(X1)) 10.40/10.64 | ~ subpopulations(first_movers, efficient_producers, X1, X2) 10.40/10.64 | zip_tseitin_2(X2) 10.40/10.64 | zip_tseitin_1(X2) 10.40/10.64 | zip_tseitin_0(X2)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_7])). 10.40/10.64 tff('52', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.64 | ~ greater_or_equal(sk_T(sk_T_1(sk_E)), equilibrium(sk_E)) 10.40/10.64 | ~ environment(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['50', '51'])). 10.40/10.64 tff('53', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('54', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.64 | ~ greater_or_equal(sk_T(sk_T_1(sk_E)), equilibrium(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['52', '53'])). 10.40/10.64 tff('55', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['49', '54'])). 10.40/10.64 tff('56', plain, 10.40/10.64 ![X19]: 10.40/10.64 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.64 inference('cnf', [status(esa)], [a4])). 10.40/10.64 tff('57', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff(mp_times_in_environment, axiom, 10.40/10.64 (![E,T1,T2]: 10.40/10.64 ((in_environment(E,T1) & in_environment(E,T2)) => 10.40/10.64 (greater(T2,T1) | (T1 = T2) | greater(T1,T2))))). 10.40/10.64 tff('58', plain, 10.40/10.64 ![X5, X6, X7]: 10.40/10.64 (~ in_environment(X5, X6) 10.40/10.64 | ~ in_environment(X5, X7) 10.40/10.64 | greater(X7, X6) 10.40/10.64 | X6 = X7 10.40/10.64 | greater(X6, X7)), 10.40/10.64 inference('cnf', [status(esa)], [mp_times_in_environment])). 10.40/10.64 tff('59', plain, 10.40/10.64 ![X0, X1]: 10.40/10.64 (~ stable(X0) 10.40/10.64 | ~ environment(X0) 10.40/10.64 | greater(sk_To(X0), X1) 10.40/10.64 | sk_To(X0) = X1 10.40/10.64 | greater(X1, sk_To(X0)) 10.40/10.64 | ~ in_environment(X0, X1)), 10.40/10.64 inference('sup-', [status(thm)], ['57', '58'])). 10.40/10.64 tff('60', plain, 10.40/10.64 ![X0]: 10.40/10.64 (~ environment(X0) 10.40/10.64 | ~ stable(X0) 10.40/10.64 | greater(sk_T_1(X0), sk_To(X0)) 10.40/10.64 | sk_To(X0) = sk_T_1(X0) 10.40/10.64 | greater(sk_To(X0), sk_T_1(X0)) 10.40/10.64 | ~ environment(X0) 10.40/10.64 | ~ stable(X0)), 10.40/10.64 inference('sup-', [status(thm)], ['56', '59'])). 10.40/10.64 tff('61', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( greater(sk_To(X0), sk_T_1(X0)) 10.40/10.64 | sk_To(X0) = sk_T_1(X0) 10.40/10.64 | greater(sk_T_1(X0), sk_To(X0)) 10.40/10.64 | ~ stable(X0) 10.40/10.64 | ~ environment(X0)), 10.40/10.64 inference('simplify', [status(thm)], ['60'])). 10.40/10.64 tff('62', plain, 10.40/10.64 ![X0]: 10.40/10.64 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_T(sk_T_1(sk_E)), X0) 10.40/10.64 | ~ greater(sk_T_1(sk_E), X0)), 10.40/10.64 inference('sup-', [status(thm)], ['41', '42'])). 10.40/10.64 tff('63', plain, 10.40/10.64 (~ environment(sk_E) 10.40/10.64 | ~ stable(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | greater(sk_T(sk_T_1(sk_E)), sk_To(sk_E)) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['61', '62'])). 10.40/10.64 tff('64', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('65', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('66', plain, 10.40/10.64 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | greater(sk_T(sk_T_1(sk_E)), sk_To(sk_E)) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.40/10.64 inference('demod', [status(thm)], ['63', '64', '65'])). 10.40/10.64 tff('67', plain, 10.40/10.64 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('68', plain, 10.40/10.64 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater_or_equal(sk_T(sk_T_1(sk_E)), sk_To(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['66', '67'])). 10.40/10.64 tff('69', plain, 10.40/10.64 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.64 sk_T(sk_T_1(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['2', '3', '4'])). 10.40/10.64 tff('70', plain, 10.40/10.64 ![X3, X4]: 10.40/10.64 (~ subpopulations(first_movers, efficient_producers, X3, X4) 10.40/10.64 | ~ greater_or_equal(X4, sk_To(X3)) 10.40/10.64 | greater(growth_rate(efficient_producers, X4), 10.40/10.64 growth_rate(first_movers, X4)) 10.40/10.64 | ~ environment(X3) 10.40/10.64 | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('71', plain, 10.40/10.64 (~ stable(sk_E) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.64 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.64 | ~ greater_or_equal(sk_T(sk_T_1(sk_E)), sk_To(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['69', '70'])). 10.40/10.64 tff('72', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('73', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('74', plain, 10.40/10.64 ( greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.64 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.64 | ~ greater_or_equal(sk_T(sk_T_1(sk_E)), sk_To(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['71', '72', '73'])). 10.40/10.64 tff('75', plain, 10.40/10.64 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.64 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.64 inference('sup-', [status(thm)], ['68', '74'])). 10.40/10.64 tff('76', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( greater(zero, growth_rate(efficient_producers, X0)) 10.40/10.64 | ~ zip_tseitin_2(X0)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_2])). 10.40/10.64 tff('77', plain, 10.40/10.64 ![X13, X14, X15]: 10.40/10.64 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.64 tff('78', plain, 10.40/10.64 ![X0, X1]: 10.40/10.64 (~ zip_tseitin_2(X0) 10.40/10.64 | greater(zero, X1) 10.40/10.64 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.64 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.64 tff('79', plain, 10.40/10.64 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.64 | ~ zip_tseitin_2(sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['75', '78'])). 10.40/10.64 tff('80', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['55', '79'])). 10.40/10.64 tff('81', plain, 10.40/10.64 ( greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('simplify', [status(thm)], ['80'])). 10.40/10.64 tff('82', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['49', '54'])). 10.40/10.64 tff('83', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_2])). 10.40/10.64 tff('84', plain, 10.40/10.64 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.64 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.64 inference('sup-', [status(thm)], ['68', '74'])). 10.40/10.64 tff('85', plain, 10.40/10.64 ![X13, X14, X15]: 10.40/10.64 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.64 tff('86', plain, 10.40/10.64 ![X0]: 10.40/10.64 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), X0) 10.40/10.64 | ~ greater(growth_rate(first_movers, sk_T(sk_T_1(sk_E))), X0)), 10.40/10.64 inference('sup-', [status(thm)], ['84', '85'])). 10.40/10.64 tff('87', plain, 10.40/10.64 (~ zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.64 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['83', '86'])). 10.40/10.64 tff('88', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero)), 10.40/10.64 inference('sup-', [status(thm)], ['82', '87'])). 10.40/10.64 tff('89', plain, 10.40/10.64 ( greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('simplify', [status(thm)], ['88'])). 10.40/10.64 tff('90', plain, 10.40/10.64 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('91', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater_or_equal( 10.40/10.64 growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero)), 10.40/10.64 inference('sup-', [status(thm)], ['89', '90'])). 10.40/10.64 tff(d2, axiom, 10.40/10.64 (![E,S1,S2,T]: 10.40/10.64 ((environment(E) & subpopulations(S1,S2,E,T)) => 10.40/10.64 ((greater(zero,growth_rate(S1,T)) & 10.40/10.64 greater_or_equal(growth_rate(S2,T),zero)) <=> 10.40/10.64 outcompetes(S2,S1,T))))). 10.40/10.64 tff('92', plain, 10.40/10.64 ![X8, X9, X10, X11]: 10.40/10.64 (~ environment(X8) 10.40/10.64 | ~ subpopulations(X9, X10, X8, X11) 10.40/10.64 | outcompetes(X10, X9, X11) 10.40/10.64 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.40/10.64 | ~ greater(zero, growth_rate(X9, X11))), 10.40/10.64 inference('cnf', [status(esa)], [d2])). 10.40/10.64 tff('93', plain, 10.40/10.64 ![X0, X1]: 10.40/10.64 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | ~ greater(zero, growth_rate(X0, sk_T(sk_T_1(sk_E)))) 10.40/10.64 | outcompetes(efficient_producers, X0, sk_T(sk_T_1(sk_E))) 10.40/10.64 | ~ subpopulations(X0, efficient_producers, X1, sk_T(sk_T_1(sk_E))) 10.40/10.64 | ~ environment(X1)), 10.40/10.64 inference('sup-', [status(thm)], ['91', '92'])). 10.40/10.64 tff('94', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | ~ environment(X0) 10.40/10.64 | ~ subpopulations(first_movers, efficient_producers, X0, 10.40/10.64 sk_T(sk_T_1(sk_E))) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['81', '93'])). 10.40/10.64 tff('95', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.64 | ~ subpopulations(first_movers, efficient_producers, X0, 10.40/10.64 sk_T(sk_T_1(sk_E))) 10.40/10.64 | ~ environment(X0) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('simplify', [status(thm)], ['94'])). 10.40/10.64 tff('96', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['32', '95'])). 10.40/10.64 tff('97', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('98', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['96', '97'])). 10.40/10.64 tff('99', plain, 10.40/10.64 ![X12]: 10.40/10.64 (~ in_environment(sk_E, X12) 10.40/10.64 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('100', plain, 10.40/10.64 ( greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['98', '99'])). 10.40/10.64 tff('101', plain, 10.40/10.64 (~ environment(sk_E) 10.40/10.64 | ~ stable(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['31', '100'])). 10.40/10.64 tff('102', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('103', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('104', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['101', '102', '103'])). 10.40/10.64 tff('105', plain, 10.40/10.64 ![X13, X14, X15]: 10.40/10.64 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.64 tff('106', plain, 10.40/10.64 ![X0]: 10.40/10.64 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | greater(sk_To(sk_E), X0) 10.40/10.64 | ~ greater(sk_T_1(sk_E), X0)), 10.40/10.64 inference('sup-', [status(thm)], ['104', '105'])). 10.40/10.64 tff('107', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | ~ stable(sk_E) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['30', '106'])). 10.40/10.64 tff('108', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('109', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('110', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.64 inference('demod', [status(thm)], ['107', '108', '109'])). 10.40/10.64 tff('111', plain, 10.40/10.64 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['110'])). 10.40/10.64 tff('112', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('113', plain, 10.40/10.64 ![X12]: (~ in_environment(sk_E, X12) | greater_or_equal(sk_T(X12), X12)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('114', plain, 10.40/10.64 (~ stable(sk_E) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | greater_or_equal(sk_T(sk_To(sk_E)), sk_To(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['112', '113'])). 10.40/10.64 tff('115', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('116', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('117', plain, greater_or_equal(sk_T(sk_To(sk_E)), sk_To(sk_E)), 10.40/10.64 inference('demod', [status(thm)], ['114', '115', '116'])). 10.40/10.64 tff('118', plain, 10.40/10.64 ![X16, X18]: 10.40/10.64 ( greater(X16, X18) | X16 = X18 | ~ greater_or_equal(X16, X18)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('119', plain, 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | greater(sk_T(sk_To(sk_E)), sk_To(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['117', '118'])). 10.40/10.64 tff('120', plain, 10.40/10.64 ![X13, X14, X15]: 10.40/10.64 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.64 tff('121', plain, 10.40/10.64 ![X0]: 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | greater(sk_T(sk_To(sk_E)), X0) 10.40/10.64 | ~ greater(sk_To(sk_E), X0)), 10.40/10.64 inference('sup-', [status(thm)], ['119', '120'])). 10.40/10.64 tff('122', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['111', '121'])). 10.40/10.64 tff('123', plain, 10.40/10.64 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('124', plain, 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['122', '123'])). 10.40/10.64 tff('125', plain, 10.40/10.64 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.64 sk_T(sk_To(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['12', '13', '14'])). 10.40/10.64 tff('126', plain, 10.40/10.64 ![X1, X2]: 10.40/10.64 (~ environment(X1) 10.40/10.64 | ~ greater_or_equal(X2, equilibrium(X1)) 10.40/10.64 | ~ subpopulations(first_movers, efficient_producers, X1, X2) 10.40/10.64 | zip_tseitin_2(X2) 10.40/10.64 | zip_tseitin_1(X2) 10.40/10.64 | zip_tseitin_0(X2)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_7])). 10.40/10.64 tff('127', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.64 | ~ environment(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['125', '126'])). 10.40/10.64 tff('128', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('129', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['127', '128'])). 10.40/10.64 tff('130', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['124', '129'])). 10.40/10.64 tff('131', plain, 10.40/10.64 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.64 sk_T(sk_To(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['12', '13', '14'])). 10.40/10.64 tff('132', plain, 10.40/10.64 ![X3, X4]: 10.40/10.64 (~ subpopulations(first_movers, efficient_producers, X3, X4) 10.40/10.64 | ~ greater_or_equal(X4, sk_To(X3)) 10.40/10.64 | greater(growth_rate(efficient_producers, X4), 10.40/10.64 growth_rate(first_movers, X4)) 10.40/10.64 | ~ environment(X3) 10.40/10.64 | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('133', plain, 10.40/10.64 (~ stable(sk_E) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), 10.40/10.64 growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.40/10.64 | ~ greater_or_equal(sk_T(sk_To(sk_E)), sk_To(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['131', '132'])). 10.40/10.64 tff('134', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('135', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('136', plain, greater_or_equal(sk_T(sk_To(sk_E)), sk_To(sk_E)), 10.40/10.64 inference('demod', [status(thm)], ['114', '115', '116'])). 10.40/10.64 tff('137', plain, 10.40/10.64 greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), 10.40/10.64 growth_rate(first_movers, sk_T(sk_To(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['133', '134', '135', '136'])). 10.40/10.64 tff('138', plain, 10.40/10.64 ![X0, X1]: 10.40/10.64 (~ zip_tseitin_2(X0) 10.40/10.64 | greater(zero, X1) 10.40/10.64 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.64 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.64 tff('139', plain, 10.40/10.64 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.40/10.64 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['137', '138'])). 10.40/10.64 tff('140', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.40/10.64 inference('sup-', [status(thm)], ['130', '139'])). 10.40/10.64 tff('141', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['124', '129'])). 10.40/10.64 tff('142', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_2])). 10.40/10.64 tff('143', plain, 10.40/10.64 greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), 10.40/10.64 growth_rate(first_movers, sk_T(sk_To(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['133', '134', '135', '136'])). 10.40/10.64 tff('144', plain, 10.40/10.64 ![X13, X14, X15]: 10.40/10.64 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.64 tff('145', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), X0) 10.40/10.64 | ~ greater(growth_rate(first_movers, sk_T(sk_To(sk_E))), X0)), 10.40/10.64 inference('sup-', [status(thm)], ['143', '144'])). 10.40/10.64 tff('146', plain, 10.40/10.64 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.64 inference('sup-', [status(thm)], ['142', '145'])). 10.40/10.64 tff('147', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.64 inference('sup-', [status(thm)], ['141', '146'])). 10.40/10.64 tff('148', plain, 10.40/10.64 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('149', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | greater_or_equal( 10.40/10.64 growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.64 inference('sup-', [status(thm)], ['147', '148'])). 10.40/10.64 tff('150', plain, 10.40/10.64 ![X8, X9, X10, X11]: 10.40/10.64 (~ environment(X8) 10.40/10.64 | ~ subpopulations(X9, X10, X8, X11) 10.40/10.64 | outcompetes(X10, X9, X11) 10.40/10.64 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.40/10.64 | ~ greater(zero, growth_rate(X9, X11))), 10.40/10.64 inference('cnf', [status(esa)], [d2])). 10.40/10.64 tff('151', plain, 10.40/10.64 ![X0, X1]: 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | ~ greater(zero, growth_rate(X0, sk_T(sk_To(sk_E)))) 10.40/10.64 | outcompetes(efficient_producers, X0, sk_T(sk_To(sk_E))) 10.40/10.64 | ~ subpopulations(X0, efficient_producers, X1, sk_T(sk_To(sk_E))) 10.40/10.64 | ~ environment(X1)), 10.40/10.64 inference('sup-', [status(thm)], ['149', '150'])). 10.40/10.64 tff('152', plain, 10.40/10.64 ![X0]: 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | ~ environment(X0) 10.40/10.64 | ~ subpopulations(first_movers, efficient_producers, X0, 10.40/10.64 sk_T(sk_To(sk_E))) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['140', '151'])). 10.40/10.64 tff('153', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.64 | ~ subpopulations(first_movers, efficient_producers, X0, 10.40/10.64 sk_T(sk_To(sk_E))) 10.40/10.64 | ~ environment(X0) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['152'])). 10.40/10.64 tff('154', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['29', '153'])). 10.40/10.64 tff('155', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('156', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['154', '155'])). 10.40/10.64 tff('157', plain, 10.40/10.64 ![X12]: 10.40/10.64 (~ in_environment(sk_E, X12) 10.40/10.64 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('158', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['156', '157'])). 10.40/10.64 tff('159', plain, 10.40/10.64 (~ stable(sk_E) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['28', '158'])). 10.40/10.64 tff('160', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('161', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('162', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['159', '160', '161'])). 10.40/10.64 tff('163', plain, 10.40/10.64 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.64 sk_T(sk_T_1(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['2', '3', '4'])). 10.40/10.64 tff('164', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( greater(zero, growth_rate(first_movers, X0)) | ~ zip_tseitin_1(X0)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_4])). 10.40/10.64 tff('165', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( greater(growth_rate(efficient_producers, X0), zero) 10.40/10.64 | ~ zip_tseitin_1(X0)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_4])). 10.40/10.64 tff('166', plain, 10.40/10.64 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('167', plain, 10.40/10.64 ![X0]: 10.40/10.64 (~ zip_tseitin_1(X0) 10.40/10.64 | greater_or_equal(growth_rate(efficient_producers, X0), zero)), 10.40/10.64 inference('sup-', [status(thm)], ['165', '166'])). 10.40/10.64 tff('168', plain, 10.40/10.64 ![X8, X9, X10, X11]: 10.40/10.64 (~ environment(X8) 10.40/10.64 | ~ subpopulations(X9, X10, X8, X11) 10.40/10.64 | outcompetes(X10, X9, X11) 10.40/10.64 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.40/10.64 | ~ greater(zero, growth_rate(X9, X11))), 10.40/10.64 inference('cnf', [status(esa)], [d2])). 10.40/10.64 tff('169', plain, 10.40/10.64 ![X0, X1, X2]: 10.40/10.64 (~ zip_tseitin_1(X0) 10.40/10.64 | ~ greater(zero, growth_rate(X1, X0)) 10.40/10.64 | outcompetes(efficient_producers, X1, X0) 10.40/10.64 | ~ subpopulations(X1, efficient_producers, X2, X0) 10.40/10.64 | ~ environment(X2)), 10.40/10.64 inference('sup-', [status(thm)], ['167', '168'])). 10.40/10.64 tff('170', plain, 10.40/10.64 ![X0, X1]: 10.40/10.64 (~ zip_tseitin_1(X0) 10.40/10.64 | ~ environment(X1) 10.40/10.64 | ~ subpopulations(first_movers, efficient_producers, X1, X0) 10.40/10.64 | outcompetes(efficient_producers, first_movers, X0) 10.40/10.64 | ~ zip_tseitin_1(X0)), 10.40/10.64 inference('sup-', [status(thm)], ['164', '169'])). 10.40/10.64 tff('171', plain, 10.40/10.64 ![X0, X1]: 10.40/10.64 ( outcompetes(efficient_producers, first_movers, X0) 10.40/10.64 | ~ subpopulations(first_movers, efficient_producers, X1, X0) 10.40/10.64 | ~ environment(X1) 10.40/10.64 | ~ zip_tseitin_1(X0)), 10.40/10.64 inference('simplify', [status(thm)], ['170'])). 10.40/10.64 tff('172', plain, 10.40/10.64 (~ zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['163', '171'])). 10.40/10.64 tff('173', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('174', plain, 10.40/10.64 (~ zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['172', '173'])). 10.40/10.64 tff('175', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['162', '174'])). 10.40/10.64 tff('176', plain, 10.40/10.64 ![X12]: 10.40/10.64 (~ in_environment(sk_E, X12) 10.40/10.64 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('177', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['175', '176'])). 10.40/10.64 tff('178', plain, 10.40/10.64 (~ environment(sk_E) 10.40/10.64 | ~ stable(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['27', '177'])). 10.40/10.64 tff('179', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('180', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('181', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('demod', [status(thm)], ['178', '179', '180'])). 10.40/10.64 tff('182', plain, 10.40/10.64 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.64 sk_T(sk_To(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['12', '13', '14'])). 10.40/10.64 tff('183', plain, 10.40/10.64 ![X0, X1]: 10.40/10.64 ( outcompetes(efficient_producers, first_movers, X0) 10.40/10.64 | ~ subpopulations(first_movers, efficient_producers, X1, X0) 10.40/10.64 | ~ environment(X1) 10.40/10.64 | ~ zip_tseitin_1(X0)), 10.40/10.64 inference('simplify', [status(thm)], ['170'])). 10.40/10.64 tff('184', plain, 10.40/10.64 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['182', '183'])). 10.40/10.64 tff('185', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('186', plain, 10.40/10.64 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['184', '185'])). 10.40/10.64 tff('187', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['181', '186'])). 10.40/10.64 tff('188', plain, 10.40/10.64 ![X12]: 10.40/10.64 (~ in_environment(sk_E, X12) 10.40/10.64 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('189', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['187', '188'])). 10.40/10.64 tff('190', plain, 10.40/10.64 (~ stable(sk_E) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['26', '189'])). 10.40/10.64 tff('191', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('192', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('193', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['190', '191', '192'])). 10.40/10.64 tff('194', plain, 10.40/10.64 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.64 sk_T(sk_T_1(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['2', '3', '4'])). 10.40/10.64 tff('195', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('196', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('197', plain, 10.40/10.64 ![X0]: 10.40/10.64 (~ environment(X0) 10.40/10.64 | ~ stable(X0) 10.40/10.64 | sk_T_1(X0) = equilibrium(X0) 10.40/10.64 | greater(sk_T_1(X0), equilibrium(X0))), 10.40/10.64 inference('sup-', [status(thm)], ['16', '17'])). 10.40/10.64 tff('198', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('199', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('200', plain, 10.40/10.64 ![X0]: 10.40/10.64 (~ environment(X0) 10.40/10.64 | ~ stable(X0) 10.40/10.64 | sk_T_1(X0) = equilibrium(X0) 10.40/10.64 | greater(sk_T_1(X0), equilibrium(X0))), 10.40/10.64 inference('sup-', [status(thm)], ['16', '17'])). 10.40/10.64 tff('201', plain, 10.40/10.64 ![X19]: 10.40/10.64 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.64 inference('cnf', [status(esa)], [a4])). 10.40/10.64 tff('202', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('203', plain, 10.40/10.64 ![X0]: 10.40/10.64 (~ environment(X0) 10.40/10.64 | ~ stable(X0) 10.40/10.64 | sk_T_1(X0) = equilibrium(X0) 10.40/10.64 | greater(sk_T_1(X0), equilibrium(X0))), 10.40/10.64 inference('sup-', [status(thm)], ['16', '17'])). 10.40/10.64 tff('204', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('205', plain, 10.40/10.64 ![X19]: 10.40/10.64 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.64 inference('cnf', [status(esa)], [a4])). 10.40/10.64 tff('206', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['124', '129'])). 10.40/10.64 tff('207', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.64 inference('sup-', [status(thm)], ['141', '146'])). 10.40/10.64 tff('208', plain, 10.40/10.64 ![X0, X1]: 10.40/10.64 (~ zip_tseitin_2(X0) 10.40/10.64 | greater(zero, X1) 10.40/10.64 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.64 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.64 tff('209', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['207', '208'])). 10.40/10.64 tff('210', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['206', '209'])). 10.40/10.64 tff('211', plain, 10.40/10.64 ( greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('simplify', [status(thm)], ['210'])). 10.40/10.64 tff('212', plain, 10.40/10.64 (~ zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['172', '173'])). 10.40/10.64 tff('213', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['211', '212'])). 10.40/10.64 tff('214', plain, 10.40/10.64 ![X12]: 10.40/10.64 (~ in_environment(sk_E, X12) 10.40/10.64 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('215', plain, 10.40/10.64 ( greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['213', '214'])). 10.40/10.64 tff('216', plain, 10.40/10.64 (~ environment(sk_E) 10.40/10.64 | ~ stable(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero)), 10.40/10.64 inference('sup-', [status(thm)], ['205', '215'])). 10.40/10.64 tff('217', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('218', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('219', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero)), 10.40/10.64 inference('demod', [status(thm)], ['216', '217', '218'])). 10.40/10.64 tff('220', plain, 10.40/10.64 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['184', '185'])). 10.40/10.64 tff('221', plain, 10.40/10.64 ( greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['219', '220'])). 10.40/10.64 tff('222', plain, 10.40/10.64 ![X12]: 10.40/10.64 (~ in_environment(sk_E, X12) 10.40/10.64 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('223', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['221', '222'])). 10.40/10.64 tff('224', plain, 10.40/10.64 (~ stable(sk_E) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['204', '223'])). 10.40/10.64 tff('225', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('226', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('227', plain, 10.40/10.64 ( greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['224', '225', '226'])). 10.40/10.64 tff('228', plain, 10.40/10.64 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.64 tff('229', plain, 10.40/10.64 ( greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['224', '225', '226'])). 10.40/10.64 tff('230', plain, 10.40/10.64 ![X0]: 10.40/10.64 (growth_rate(efficient_producers, X0) = zero | ~ zip_tseitin_0(X0)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.64 tff('231', plain, 10.40/10.64 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.64 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.64 inference('sup-', [status(thm)], ['68', '74'])). 10.40/10.64 tff('232', plain, 10.40/10.64 ( greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.64 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.64 inference('sup+', [status(thm)], ['230', '231'])). 10.40/10.64 tff('233', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.64 inference('sup-', [status(thm)], ['229', '232'])). 10.40/10.64 tff('234', plain, 10.40/10.64 ( greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('simplify', [status(thm)], ['233'])). 10.40/10.64 tff('235', plain, 10.40/10.64 ( greater(zero, zero) 10.40/10.64 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.64 inference('sup+', [status(thm)], ['228', '234'])). 10.40/10.64 tff('236', plain, 10.40/10.64 ( greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | greater(zero, zero)), 10.40/10.64 inference('simplify', [status(thm)], ['235'])). 10.40/10.64 tff('237', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['227', '236'])). 10.40/10.64 tff('238', plain, 10.40/10.64 ( greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('simplify', [status(thm)], ['237'])). 10.40/10.64 tff('239', plain, 10.40/10.64 ![X0]: 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | greater(sk_T(sk_To(sk_E)), X0) 10.40/10.64 | ~ greater(sk_To(sk_E), X0)), 10.40/10.64 inference('sup-', [status(thm)], ['119', '120'])). 10.40/10.64 tff('240', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | greater(sk_T(sk_To(sk_E)), sk_T_1(sk_E)) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['238', '239'])). 10.40/10.64 tff('241', plain, 10.40/10.64 ( greater(sk_T(sk_To(sk_E)), sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('simplify', [status(thm)], ['240'])). 10.40/10.64 tff('242', plain, 10.40/10.64 ![X13, X14, X15]: 10.40/10.64 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.64 tff('243', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | greater(sk_T(sk_To(sk_E)), X0) 10.40/10.64 | ~ greater(sk_T_1(sk_E), X0)), 10.40/10.64 inference('sup-', [status(thm)], ['241', '242'])). 10.40/10.64 tff('244', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | ~ stable(sk_E) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['203', '243'])). 10.40/10.64 tff('245', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('246', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('247', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['244', '245', '246'])). 10.40/10.64 tff('248', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['247'])). 10.40/10.64 tff('249', plain, 10.40/10.64 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('250', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['248', '249'])). 10.40/10.64 tff('251', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['127', '128'])). 10.40/10.64 tff('252', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['250', '251'])). 10.40/10.64 tff('253', plain, 10.40/10.64 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('simplify', [status(thm)], ['252'])). 10.40/10.64 tff('254', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_2])). 10.40/10.64 tff('255', plain, 10.40/10.64 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('simplify', [status(thm)], ['252'])). 10.40/10.64 tff('256', plain, 10.40/10.64 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.40/10.64 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['137', '138'])). 10.40/10.64 tff('257', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.40/10.64 inference('sup-', [status(thm)], ['255', '256'])). 10.40/10.64 tff('258', plain, 10.40/10.64 ![X13, X14, X15]: 10.40/10.64 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.64 tff('259', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | greater(zero, X0) 10.40/10.64 | ~ greater(growth_rate(first_movers, sk_T(sk_To(sk_E))), X0)), 10.40/10.64 inference('sup-', [status(thm)], ['257', '258'])). 10.40/10.64 tff('260', plain, 10.40/10.64 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['254', '259'])). 10.40/10.64 tff('261', plain, 10.40/10.64 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('simplify', [status(thm)], ['260'])). 10.40/10.64 tff('262', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['253', '261'])). 10.40/10.64 tff('263', plain, 10.40/10.64 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('simplify', [status(thm)], ['262'])). 10.40/10.64 tff('264', plain, 10.40/10.64 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['184', '185'])). 10.40/10.64 tff('265', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['263', '264'])). 10.40/10.64 tff('266', plain, 10.40/10.64 ![X12]: 10.40/10.64 (~ in_environment(sk_E, X12) 10.40/10.64 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('267', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['265', '266'])). 10.40/10.64 tff('268', plain, 10.40/10.64 (~ stable(sk_E) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['202', '267'])). 10.40/10.64 tff('269', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('270', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('271', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('demod', [status(thm)], ['268', '269', '270'])). 10.40/10.64 tff('272', plain, 10.40/10.64 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.64 tff('273', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('demod', [status(thm)], ['268', '269', '270'])). 10.40/10.64 tff('274', plain, 10.40/10.64 ![X0]: 10.40/10.64 (growth_rate(efficient_producers, X0) = zero | ~ zip_tseitin_0(X0)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.64 tff('275', plain, 10.40/10.64 greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), 10.40/10.64 growth_rate(first_movers, sk_T(sk_To(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['133', '134', '135', '136'])). 10.40/10.64 tff('276', plain, 10.40/10.64 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.40/10.64 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup+', [status(thm)], ['274', '275'])). 10.40/10.64 tff('277', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.40/10.64 inference('sup-', [status(thm)], ['273', '276'])). 10.40/10.64 tff('278', plain, 10.40/10.64 ( greater(zero, zero) 10.40/10.64 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('sup+', [status(thm)], ['272', '277'])). 10.40/10.64 tff('279', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | greater(zero, zero)), 10.40/10.64 inference('simplify', [status(thm)], ['278'])). 10.40/10.64 tff('280', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['271', '279'])). 10.40/10.64 tff('281', plain, 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['280'])). 10.40/10.64 tff('282', plain, 10.40/10.64 ![X19]: 10.40/10.64 ( greater_or_equal(sk_T_1(X19), equilibrium(X19)) 10.40/10.64 | ~ stable(X19) 10.40/10.64 | ~ environment(X19)), 10.40/10.64 inference('cnf', [status(esa)], [a4])). 10.40/10.64 tff('283', plain, 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['280'])). 10.40/10.64 tff('284', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.64 | ~ greater_or_equal(sk_T(sk_T_1(sk_E)), equilibrium(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['52', '53'])). 10.40/10.64 tff('285', plain, 10.40/10.64 (~ greater_or_equal(sk_T_1(sk_E), equilibrium(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['283', '284'])). 10.40/10.64 tff('286', plain, 10.40/10.64 (~ environment(sk_E) 10.40/10.64 | ~ stable(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['282', '285'])). 10.40/10.64 tff('287', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('288', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('289', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('demod', [status(thm)], ['286', '287', '288'])). 10.40/10.64 tff('290', plain, 10.40/10.64 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('sup+', [status(thm)], ['281', '289'])). 10.40/10.64 tff('291', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.64 inference('simplify', [status(thm)], ['290'])). 10.40/10.64 tff('292', plain, 10.40/10.64 (~ zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['172', '173'])). 10.40/10.64 tff('293', plain, 10.40/10.64 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['291', '292'])). 10.40/10.64 tff('294', plain, 10.40/10.64 ![X12]: 10.40/10.64 (~ in_environment(sk_E, X12) 10.40/10.64 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('295', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['293', '294'])). 10.40/10.64 tff('296', plain, 10.40/10.64 (~ environment(sk_E) 10.40/10.64 | ~ stable(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['201', '295'])). 10.40/10.64 tff('297', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('298', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('299', plain, 10.40/10.64 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['296', '297', '298'])). 10.40/10.64 tff('300', plain, 10.40/10.64 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.64 tff('301', plain, 10.40/10.64 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['296', '297', '298'])). 10.40/10.64 tff('302', plain, 10.40/10.64 ![X0]: 10.40/10.64 (growth_rate(efficient_producers, X0) = zero | ~ zip_tseitin_0(X0)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.64 tff('303', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( greater(sk_To(X0), sk_T_1(X0)) 10.40/10.64 | sk_To(X0) = sk_T_1(X0) 10.40/10.64 | greater(sk_T_1(X0), sk_To(X0)) 10.40/10.64 | ~ stable(X0) 10.40/10.64 | ~ environment(X0)), 10.40/10.64 inference('simplify', [status(thm)], ['60'])). 10.40/10.64 tff('304', plain, 10.40/10.64 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('305', plain, 10.40/10.64 ![X0]: 10.40/10.64 (~ environment(X0) 10.40/10.64 | ~ stable(X0) 10.40/10.64 | sk_To(X0) = sk_T_1(X0) 10.40/10.64 | greater(sk_To(X0), sk_T_1(X0)) 10.40/10.64 | greater_or_equal(sk_T_1(X0), sk_To(X0))), 10.40/10.64 inference('sup-', [status(thm)], ['303', '304'])). 10.40/10.64 tff('306', plain, 10.40/10.64 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('307', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( greater_or_equal(sk_T_1(X0), sk_To(X0)) 10.40/10.64 | sk_To(X0) = sk_T_1(X0) 10.40/10.64 | ~ stable(X0) 10.40/10.64 | ~ environment(X0) 10.40/10.64 | greater_or_equal(sk_To(X0), sk_T_1(X0))), 10.40/10.64 inference('sup-', [status(thm)], ['305', '306'])). 10.40/10.64 tff('308', plain, 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['280'])). 10.40/10.64 tff('309', plain, 10.40/10.64 ( greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.64 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.64 | ~ greater_or_equal(sk_T(sk_T_1(sk_E)), sk_To(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['71', '72', '73'])). 10.40/10.64 tff('310', plain, 10.40/10.64 (~ greater_or_equal(sk_T_1(sk_E), sk_To(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.64 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.64 inference('sup-', [status(thm)], ['308', '309'])). 10.40/10.64 tff('311', plain, 10.40/10.64 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | ~ stable(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.64 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['307', '310'])). 10.40/10.64 tff('312', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('313', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('314', plain, 10.40/10.64 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.64 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('demod', [status(thm)], ['311', '312', '313'])). 10.40/10.64 tff('315', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.64 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.64 inference('simplify', [status(thm)], ['314'])). 10.40/10.64 tff('316', plain, 10.40/10.64 ( greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.64 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('sup+', [status(thm)], ['302', '315'])). 10.40/10.64 tff('317', plain, 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.64 inference('sup-', [status(thm)], ['301', '316'])). 10.40/10.64 tff('318', plain, 10.40/10.64 ( greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.64 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['317'])). 10.40/10.64 tff('319', plain, 10.40/10.64 ( greater(zero, zero) 10.40/10.64 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.64 inference('sup+', [status(thm)], ['300', '318'])). 10.40/10.64 tff('320', plain, 10.40/10.64 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | greater(zero, zero)), 10.40/10.64 inference('simplify', [status(thm)], ['319'])). 10.40/10.64 tff('321', plain, 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['299', '320'])). 10.40/10.64 tff('322', plain, 10.40/10.64 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['321'])). 10.40/10.64 tff('323', plain, 10.40/10.64 ![X16, X18]: 10.40/10.64 ( greater(X16, X18) | X16 = X18 | ~ greater_or_equal(X16, X18)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('324', plain, 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['322', '323'])). 10.40/10.64 tff('325', plain, 10.40/10.64 ( greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['324'])). 10.40/10.64 tff('326', plain, 10.40/10.64 ![X0]: 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | greater(sk_T(sk_To(sk_E)), X0) 10.40/10.64 | ~ greater(sk_To(sk_E), X0)), 10.40/10.64 inference('sup-', [status(thm)], ['119', '120'])). 10.40/10.64 tff('327', plain, 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(sk_T(sk_To(sk_E)), sk_T_1(sk_E)) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['325', '326'])). 10.40/10.64 tff('328', plain, 10.40/10.64 ( greater(sk_T(sk_To(sk_E)), sk_T_1(sk_E)) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['327'])). 10.40/10.64 tff('329', plain, 10.40/10.64 ![X13, X14, X15]: 10.40/10.64 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.64 tff('330', plain, 10.40/10.64 ![X0]: 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(sk_T(sk_To(sk_E)), X0) 10.40/10.64 | ~ greater(sk_T_1(sk_E), X0)), 10.40/10.64 inference('sup-', [status(thm)], ['328', '329'])). 10.40/10.64 tff('331', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | ~ stable(sk_E) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['200', '330'])). 10.40/10.64 tff('332', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('333', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('334', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('demod', [status(thm)], ['331', '332', '333'])). 10.40/10.64 tff('335', plain, 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['334'])). 10.40/10.64 tff('336', plain, 10.40/10.64 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('337', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['335', '336'])). 10.40/10.64 tff('338', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['127', '128'])). 10.40/10.64 tff('339', plain, 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['337', '338'])). 10.40/10.64 tff('340', plain, 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['337', '338'])). 10.40/10.64 tff('341', plain, 10.40/10.64 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.64 inference('sup-', [status(thm)], ['142', '145'])). 10.40/10.64 tff('342', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.64 inference('sup-', [status(thm)], ['340', '341'])). 10.40/10.64 tff('343', plain, 10.40/10.64 ![X0, X1]: 10.40/10.64 (~ zip_tseitin_2(X0) 10.40/10.64 | greater(zero, X1) 10.40/10.64 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.64 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.64 tff('344', plain, 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['342', '343'])). 10.40/10.64 tff('345', plain, 10.40/10.64 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['344'])). 10.40/10.64 tff('346', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['339', '345'])). 10.40/10.64 tff('347', plain, 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('simplify', [status(thm)], ['346'])). 10.40/10.64 tff('348', plain, 10.40/10.64 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['184', '185'])). 10.40/10.64 tff('349', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['347', '348'])). 10.40/10.64 tff('350', plain, 10.40/10.64 ![X12]: 10.40/10.64 (~ in_environment(sk_E, X12) 10.40/10.64 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('351', plain, 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['349', '350'])). 10.40/10.64 tff('352', plain, 10.40/10.64 (~ stable(sk_E) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['199', '351'])). 10.40/10.64 tff('353', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('354', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('355', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('demod', [status(thm)], ['352', '353', '354'])). 10.40/10.64 tff('356', plain, 10.40/10.64 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.64 tff('357', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('demod', [status(thm)], ['352', '353', '354'])). 10.40/10.64 tff('358', plain, 10.40/10.64 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.40/10.64 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup+', [status(thm)], ['274', '275'])). 10.40/10.64 tff('359', plain, 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.40/10.64 inference('sup-', [status(thm)], ['357', '358'])). 10.40/10.64 tff('360', plain, 10.40/10.64 ( greater(zero, zero) 10.40/10.64 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('sup+', [status(thm)], ['356', '359'])). 10.40/10.64 tff('361', plain, 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | greater(zero, zero)), 10.40/10.64 inference('simplify', [status(thm)], ['360'])). 10.40/10.64 tff('362', plain, 10.40/10.64 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['355', '361'])). 10.40/10.64 tff('363', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['362'])). 10.40/10.64 tff('364', plain, 10.40/10.64 ![X0]: 10.40/10.64 (~ environment(X0) 10.40/10.64 | ~ stable(X0) 10.40/10.64 | sk_T_1(X0) = equilibrium(X0) 10.40/10.64 | greater(sk_T_1(X0), equilibrium(X0))), 10.40/10.64 inference('sup-', [status(thm)], ['16', '17'])). 10.40/10.64 tff('365', plain, 10.40/10.64 ![X19]: 10.40/10.64 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.64 inference('cnf', [status(esa)], [a4])). 10.40/10.64 tff('366', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('367', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['362'])). 10.40/10.64 tff('368', plain, 10.40/10.64 ![X0]: 10.40/10.64 (~ environment(X0) 10.40/10.64 | ~ stable(X0) 10.40/10.64 | sk_T_1(X0) = equilibrium(X0) 10.40/10.64 | greater(sk_T_1(X0), equilibrium(X0))), 10.40/10.64 inference('sup-', [status(thm)], ['16', '17'])). 10.40/10.64 tff('369', plain, 10.40/10.64 ![X3]: 10.40/10.64 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.64 inference('cnf', [status(esa)], [l1])). 10.40/10.64 tff('370', plain, 10.40/10.64 ![X19]: 10.40/10.64 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.64 inference('cnf', [status(esa)], [a4])). 10.40/10.64 tff('371', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['362'])). 10.40/10.64 tff('372', plain, 10.40/10.64 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['110'])). 10.40/10.64 tff('373', plain, 10.40/10.64 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('374', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['372', '373'])). 10.40/10.64 tff('375', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['362'])). 10.40/10.64 tff('376', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['127', '128'])). 10.40/10.64 tff('377', plain, 10.40/10.64 (~ greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['375', '376'])). 10.40/10.64 tff('378', plain, 10.40/10.64 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['374', '377'])). 10.40/10.64 tff('379', plain, 10.40/10.64 ( greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['378'])). 10.40/10.64 tff('380', plain, 10.40/10.64 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero)), 10.40/10.64 inference('sup+', [status(thm)], ['371', '379'])). 10.40/10.64 tff('381', plain, 10.40/10.64 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.64 inference('simplify', [status(thm)], ['380'])). 10.40/10.64 tff('382', plain, 10.40/10.64 (~ zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['172', '173'])). 10.40/10.64 tff('383', plain, 10.40/10.64 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['381', '382'])). 10.40/10.64 tff('384', plain, 10.40/10.64 ![X12]: 10.40/10.64 (~ in_environment(sk_E, X12) 10.40/10.64 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('385', plain, 10.40/10.64 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['383', '384'])). 10.40/10.64 tff('386', plain, 10.40/10.64 (~ environment(sk_E) 10.40/10.64 | ~ stable(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['370', '385'])). 10.40/10.64 tff('387', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('388', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('389', plain, 10.40/10.64 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['386', '387', '388'])). 10.40/10.64 tff('390', plain, 10.40/10.64 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['184', '185'])). 10.40/10.64 tff('391', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['389', '390'])). 10.40/10.64 tff('392', plain, 10.40/10.64 ![X12]: 10.40/10.64 (~ in_environment(sk_E, X12) 10.40/10.64 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('393', plain, 10.40/10.64 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['391', '392'])). 10.40/10.64 tff('394', plain, 10.40/10.64 (~ stable(sk_E) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['369', '393'])). 10.40/10.64 tff('395', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('396', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('397', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['394', '395', '396'])). 10.40/10.64 tff('398', plain, 10.40/10.64 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.64 tff('399', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['394', '395', '396'])). 10.40/10.64 tff('400', plain, 10.40/10.64 ![X0]: 10.40/10.64 (growth_rate(efficient_producers, X0) = zero | ~ zip_tseitin_0(X0)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.64 tff('401', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( greater_or_equal(sk_T_1(X0), sk_To(X0)) 10.40/10.64 | sk_To(X0) = sk_T_1(X0) 10.40/10.64 | ~ stable(X0) 10.40/10.64 | ~ environment(X0) 10.40/10.64 | greater_or_equal(sk_To(X0), sk_T_1(X0))), 10.40/10.64 inference('sup-', [status(thm)], ['305', '306'])). 10.40/10.64 tff('402', plain, 10.40/10.64 ![X16, X18]: 10.40/10.64 ( greater(X16, X18) | X16 = X18 | ~ greater_or_equal(X16, X18)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('403', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( greater_or_equal(sk_To(X0), sk_T_1(X0)) 10.40/10.64 | ~ environment(X0) 10.40/10.64 | ~ stable(X0) 10.40/10.64 | sk_To(X0) = sk_T_1(X0) 10.40/10.64 | sk_T_1(X0) = sk_To(X0) 10.40/10.64 | greater(sk_T_1(X0), sk_To(X0))), 10.40/10.64 inference('sup-', [status(thm)], ['401', '402'])). 10.40/10.64 tff('404', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( greater(sk_T_1(X0), sk_To(X0)) 10.40/10.64 | sk_To(X0) = sk_T_1(X0) 10.40/10.64 | ~ stable(X0) 10.40/10.64 | ~ environment(X0) 10.40/10.64 | greater_or_equal(sk_To(X0), sk_T_1(X0))), 10.40/10.64 inference('simplify', [status(thm)], ['403'])). 10.40/10.64 tff('405', plain, 10.40/10.64 ![X0]: 10.40/10.64 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_T(sk_T_1(sk_E)), X0) 10.40/10.64 | ~ greater(sk_T_1(sk_E), X0)), 10.40/10.64 inference('sup-', [status(thm)], ['41', '42'])). 10.40/10.64 tff('406', plain, 10.40/10.64 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | ~ stable(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_T(sk_T_1(sk_E)), sk_To(sk_E)) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['404', '405'])). 10.40/10.64 tff('407', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('408', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('409', plain, 10.40/10.64 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_T(sk_T_1(sk_E)), sk_To(sk_E)) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.40/10.64 inference('demod', [status(thm)], ['406', '407', '408'])). 10.40/10.64 tff('410', plain, 10.40/10.64 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('411', plain, 10.40/10.64 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | greater_or_equal(sk_T(sk_T_1(sk_E)), sk_To(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['409', '410'])). 10.40/10.64 tff('412', plain, 10.40/10.64 ( greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.64 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.64 | ~ greater_or_equal(sk_T(sk_T_1(sk_E)), sk_To(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['71', '72', '73'])). 10.40/10.64 tff('413', plain, 10.40/10.64 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.64 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.64 inference('sup-', [status(thm)], ['411', '412'])). 10.40/10.64 tff('414', plain, 10.40/10.64 ( greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.64 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.64 inference('sup+', [status(thm)], ['400', '413'])). 10.40/10.64 tff('415', plain, 10.40/10.64 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.64 inference('sup-', [status(thm)], ['399', '414'])). 10.40/10.64 tff('416', plain, 10.40/10.64 ( greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.64 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.64 inference('simplify', [status(thm)], ['415'])). 10.40/10.64 tff('417', plain, 10.40/10.64 ( greater(zero, zero) 10.40/10.64 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.64 inference('sup+', [status(thm)], ['398', '416'])). 10.40/10.64 tff('418', plain, 10.40/10.64 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.64 | greater(zero, zero)), 10.40/10.64 inference('simplify', [status(thm)], ['417'])). 10.40/10.64 tff('419', plain, 10.40/10.64 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['397', '418'])). 10.40/10.64 tff('420', plain, 10.40/10.64 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.64 inference('simplify', [status(thm)], ['419'])). 10.40/10.64 tff('421', plain, 10.40/10.64 ![X16, X18]: 10.40/10.64 ( greater(X16, X18) | X16 = X18 | ~ greater_or_equal(X16, X18)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('422', plain, 10.40/10.64 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['420', '421'])). 10.40/10.64 tff('423', plain, 10.40/10.64 ( greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.64 inference('simplify', [status(thm)], ['422'])). 10.40/10.64 tff('424', plain, 10.40/10.64 ![X13, X14, X15]: 10.40/10.64 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.64 tff('425', plain, 10.40/10.64 ![X0]: 10.40/10.64 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | greater(sk_To(sk_E), X0) 10.40/10.64 | ~ greater(sk_T_1(sk_E), X0)), 10.40/10.64 inference('sup-', [status(thm)], ['423', '424'])). 10.40/10.64 tff('426', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | ~ stable(sk_E) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['368', '425'])). 10.40/10.64 tff('427', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('428', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('429', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.64 inference('demod', [status(thm)], ['426', '427', '428'])). 10.40/10.64 tff('430', plain, 10.40/10.64 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['429'])). 10.40/10.64 tff('431', plain, 10.40/10.64 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.64 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.64 tff('432', plain, 10.40/10.64 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['430', '431'])). 10.40/10.64 tff('433', plain, 10.40/10.64 (~ greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['375', '376'])). 10.40/10.64 tff('434', plain, 10.40/10.64 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['432', '433'])). 10.40/10.64 tff('435', plain, 10.40/10.64 ( zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.64 inference('simplify', [status(thm)], ['434'])). 10.40/10.64 tff('436', plain, 10.40/10.64 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_1(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup+', [status(thm)], ['367', '435'])). 10.40/10.64 tff('437', plain, 10.40/10.64 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.64 inference('simplify', [status(thm)], ['436'])). 10.40/10.64 tff('438', plain, 10.40/10.64 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['184', '185'])). 10.40/10.64 tff('439', plain, 10.40/10.64 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['437', '438'])). 10.40/10.64 tff('440', plain, 10.40/10.64 ![X12]: 10.40/10.64 (~ in_environment(sk_E, X12) 10.40/10.64 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('441', plain, 10.40/10.64 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.64 inference('sup-', [status(thm)], ['439', '440'])). 10.40/10.64 tff('442', plain, 10.40/10.64 (~ stable(sk_E) 10.40/10.64 | ~ environment(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup-', [status(thm)], ['366', '441'])). 10.40/10.64 tff('443', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('444', plain, environment(sk_E), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.64 tff('445', plain, 10.40/10.64 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['442', '443', '444'])). 10.40/10.64 tff('446', plain, 10.40/10.64 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.40/10.64 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.64 tff('447', plain, 10.40/10.64 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('demod', [status(thm)], ['442', '443', '444'])). 10.40/10.64 tff('448', plain, 10.40/10.64 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.40/10.64 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.64 inference('sup+', [status(thm)], ['274', '275'])). 10.40/10.64 tff('449', plain, 10.40/10.64 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.40/10.64 inference('sup-', [status(thm)], ['447', '448'])). 10.40/10.64 tff('450', plain, 10.40/10.64 ( greater(zero, zero) 10.40/10.64 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.40/10.64 inference('sup+', [status(thm)], ['446', '449'])). 10.40/10.64 tff('451', plain, 10.40/10.64 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.64 | greater(zero, zero)), 10.40/10.64 inference('simplify', [status(thm)], ['450'])). 10.40/10.64 tff('452', plain, 10.40/10.64 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.40/10.64 inference('sup-', [status(thm)], ['445', '451'])). 10.40/10.64 tff('453', plain, 10.40/10.64 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.64 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.64 | greater(zero, zero) 10.40/10.64 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.64 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.64 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.40/10.64 inference('simplify', [status(thm)], ['452'])). 10.40/10.64 tff('454', plain, 10.40/10.64 ![X19]: 10.40/10.64 ( greater_or_equal(sk_T_1(X19), equilibrium(X19)) 10.40/10.64 | ~ stable(X19) 10.40/10.64 | ~ environment(X19)), 10.40/10.64 inference('cnf', [status(esa)], [a4])). 10.40/10.64 tff('455', plain, 10.40/10.64 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['452'])). 10.40/10.65 tff('456', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.65 | ~ greater_or_equal(sk_T(sk_T_1(sk_E)), equilibrium(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['52', '53'])). 10.40/10.65 tff('457', plain, 10.40/10.65 (~ greater_or_equal(sk_T_1(sk_E), equilibrium(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['455', '456'])). 10.40/10.65 tff('458', plain, 10.40/10.65 (~ environment(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['454', '457'])). 10.40/10.65 tff('459', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('460', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('461', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['458', '459', '460'])). 10.40/10.65 tff('462', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup+', [status(thm)], ['453', '461'])). 10.40/10.65 tff('463', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['462'])). 10.40/10.65 tff('464', plain, 10.40/10.65 (~ zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['172', '173'])). 10.40/10.65 tff('465', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['463', '464'])). 10.40/10.65 tff('466', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('467', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['465', '466'])). 10.40/10.65 tff('468', plain, 10.40/10.65 (~ environment(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['365', '467'])). 10.40/10.65 tff('469', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('470', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('471', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['468', '469', '470'])). 10.40/10.65 tff('472', plain, 10.40/10.65 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.65 tff('473', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['468', '469', '470'])). 10.40/10.65 tff('474', plain, 10.40/10.65 ![X0]: 10.40/10.65 (growth_rate(efficient_producers, X0) = zero | ~ zip_tseitin_0(X0)), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.65 tff('475', plain, 10.40/10.65 ![X0]: 10.40/10.65 ( greater_or_equal(sk_T_1(X0), sk_To(X0)) 10.40/10.65 | sk_To(X0) = sk_T_1(X0) 10.40/10.65 | ~ stable(X0) 10.40/10.65 | ~ environment(X0) 10.40/10.65 | greater_or_equal(sk_To(X0), sk_T_1(X0))), 10.40/10.65 inference('sup-', [status(thm)], ['305', '306'])). 10.40/10.65 tff('476', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['452'])). 10.40/10.65 tff('477', plain, 10.40/10.65 ( greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.65 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | ~ greater_or_equal(sk_T(sk_T_1(sk_E)), sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['71', '72', '73'])). 10.40/10.65 tff('478', plain, 10.40/10.65 (~ greater_or_equal(sk_T_1(sk_E), sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.65 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.65 inference('sup-', [status(thm)], ['476', '477'])). 10.40/10.65 tff('479', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.65 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['475', '478'])). 10.40/10.65 tff('480', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('481', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('482', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.65 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['479', '480', '481'])). 10.40/10.65 tff('483', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.65 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['482'])). 10.40/10.65 tff('484', plain, 10.40/10.65 ( greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup+', [status(thm)], ['474', '483'])). 10.40/10.65 tff('485', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.65 inference('sup-', [status(thm)], ['473', '484'])). 10.40/10.65 tff('486', plain, 10.40/10.65 ( greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['485'])). 10.40/10.65 tff('487', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('sup+', [status(thm)], ['472', '486'])). 10.40/10.65 tff('488', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('simplify', [status(thm)], ['487'])). 10.40/10.65 tff('489', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['471', '488'])). 10.40/10.65 tff('490', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['489'])). 10.40/10.65 tff('491', plain, 10.40/10.65 ![X16, X18]: 10.40/10.65 ( greater(X16, X18) | X16 = X18 | ~ greater_or_equal(X16, X18)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.65 tff('492', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['490', '491'])). 10.40/10.65 tff('493', plain, 10.40/10.65 ( greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['492'])). 10.40/10.65 tff('494', plain, 10.40/10.65 ![X13, X14, X15]: 10.40/10.65 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.65 tff('495', plain, 10.40/10.65 ![X0]: 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(sk_To(sk_E), X0) 10.40/10.65 | ~ greater(sk_T_1(sk_E), X0)), 10.40/10.65 inference('sup-', [status(thm)], ['493', '494'])). 10.40/10.65 tff('496', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['364', '495'])). 10.40/10.65 tff('497', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('498', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('499', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['496', '497', '498'])). 10.40/10.65 tff('500', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['499'])). 10.40/10.65 tff('501', plain, 10.40/10.65 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.65 tff('502', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['500', '501'])). 10.40/10.65 tff('503', plain, 10.40/10.65 (~ greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['375', '376'])). 10.40/10.65 tff('504', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['502', '503'])). 10.40/10.65 tff('505', plain, 10.40/10.65 ( zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['504'])). 10.40/10.65 tff('506', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup+', [status(thm)], ['363', '505'])). 10.40/10.65 tff('507', plain, 10.40/10.65 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['506'])). 10.40/10.65 tff('508', plain, 10.40/10.65 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['184', '185'])). 10.40/10.65 tff('509', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['507', '508'])). 10.40/10.65 tff('510', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('511', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['509', '510'])). 10.40/10.65 tff('512', plain, 10.40/10.65 (~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['198', '511'])). 10.40/10.65 tff('513', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('514', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('515', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['512', '513', '514'])). 10.40/10.65 tff('516', plain, 10.40/10.65 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.65 tff('517', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['512', '513', '514'])). 10.40/10.65 tff('518', plain, 10.40/10.65 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup+', [status(thm)], ['274', '275'])). 10.40/10.65 tff('519', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.40/10.65 inference('sup-', [status(thm)], ['517', '518'])). 10.40/10.65 tff('520', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup+', [status(thm)], ['516', '519'])). 10.40/10.65 tff('521', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('simplify', [status(thm)], ['520'])). 10.40/10.65 tff('522', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['515', '521'])). 10.40/10.65 tff('523', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['522'])). 10.40/10.65 tff('524', plain, 10.40/10.65 ![X0]: 10.40/10.65 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_2])). 10.40/10.65 tff('525', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['522'])). 10.40/10.65 tff('526', plain, 10.40/10.65 ![X0]: 10.40/10.65 ( greater_or_equal(sk_T_1(X0), sk_To(X0)) 10.40/10.65 | sk_To(X0) = sk_T_1(X0) 10.40/10.65 | ~ stable(X0) 10.40/10.65 | ~ environment(X0) 10.40/10.65 | greater_or_equal(sk_To(X0), sk_T_1(X0))), 10.40/10.65 inference('sup-', [status(thm)], ['305', '306'])). 10.40/10.65 tff('527', plain, 10.40/10.65 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['280'])). 10.40/10.65 tff('528', plain, 10.40/10.65 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.65 sk_T(sk_T_1(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['2', '3', '4'])). 10.40/10.65 tff('529', plain, 10.40/10.65 ( subpopulations(first_movers, efficient_producers, sk_E, sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('sup+', [status(thm)], ['527', '528'])). 10.40/10.65 tff('530', plain, 10.40/10.65 ![X3, X4]: 10.40/10.65 (~ subpopulations(first_movers, efficient_producers, X3, X4) 10.40/10.65 | ~ greater_or_equal(X4, sk_To(X3)) 10.40/10.65 | greater(growth_rate(efficient_producers, X4), 10.40/10.65 growth_rate(first_movers, X4)) 10.40/10.65 | ~ environment(X3) 10.40/10.65 | ~ stable(X3)), 10.40/10.65 inference('cnf', [status(esa)], [l1])). 10.40/10.65 tff('531', plain, 10.40/10.65 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), 10.40/10.65 growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.65 | ~ greater_or_equal(sk_T_1(sk_E), sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['529', '530'])). 10.40/10.65 tff('532', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('533', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('534', plain, 10.40/10.65 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), 10.40/10.65 growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.65 | ~ greater_or_equal(sk_T_1(sk_E), sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['531', '532', '533'])). 10.40/10.65 tff('535', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), 10.40/10.65 growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['526', '534'])). 10.40/10.65 tff('536', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('537', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('538', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), 10.40/10.65 growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['535', '536', '537'])). 10.40/10.65 tff('539', plain, 10.40/10.65 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), 10.40/10.65 growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['538'])). 10.40/10.65 tff('540', plain, 10.40/10.65 ![X0, X1]: 10.40/10.65 (~ zip_tseitin_2(X0) 10.40/10.65 | greater(zero, X1) 10.40/10.65 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.65 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.65 tff('541', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.65 | ~ zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['539', '540'])). 10.40/10.65 tff('542', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['525', '541'])). 10.40/10.65 tff('543', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['542'])). 10.40/10.65 tff('544', plain, 10.40/10.65 ![X13, X14, X15]: 10.40/10.65 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.65 tff('545', plain, 10.40/10.65 ![X0]: 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | greater(zero, X0) 10.40/10.65 | ~ greater(growth_rate(first_movers, sk_T_1(sk_E)), X0)), 10.40/10.65 inference('sup-', [status(thm)], ['543', '544'])). 10.40/10.65 tff('546', plain, 10.40/10.65 (~ zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['524', '545'])). 10.40/10.65 tff('547', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | ~ zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['546'])). 10.40/10.65 tff('548', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['523', '547'])). 10.40/10.65 tff('549', plain, 10.40/10.65 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['548'])). 10.40/10.65 tff('550', plain, 10.40/10.65 ![X16, X18]: 10.40/10.65 ( greater(X16, X18) | X16 = X18 | ~ greater_or_equal(X16, X18)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.65 tff('551', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['549', '550'])). 10.40/10.65 tff('552', plain, 10.40/10.65 ( greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['551'])). 10.40/10.65 tff('553', plain, 10.40/10.65 ![X0]: 10.40/10.65 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(sk_T(sk_To(sk_E)), X0) 10.40/10.65 | ~ greater(sk_To(sk_E), X0)), 10.40/10.65 inference('sup-', [status(thm)], ['119', '120'])). 10.40/10.65 tff('554', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(sk_T(sk_To(sk_E)), sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['552', '553'])). 10.40/10.65 tff('555', plain, 10.40/10.65 ( greater(sk_T(sk_To(sk_E)), sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['554'])). 10.40/10.65 tff('556', plain, 10.40/10.65 ![X13, X14, X15]: 10.40/10.65 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.65 tff('557', plain, 10.40/10.65 ![X0]: 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(sk_T(sk_To(sk_E)), X0) 10.40/10.65 | ~ greater(sk_T_1(sk_E), X0)), 10.40/10.65 inference('sup-', [status(thm)], ['555', '556'])). 10.40/10.65 tff('558', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['197', '557'])). 10.40/10.65 tff('559', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('560', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('561', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['558', '559', '560'])). 10.40/10.65 tff('562', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['561'])). 10.40/10.65 tff('563', plain, 10.40/10.65 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.65 tff('564', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['562', '563'])). 10.40/10.65 tff('565', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['127', '128'])). 10.40/10.65 tff('566', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['564', '565'])). 10.40/10.65 tff('567', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['564', '565'])). 10.40/10.65 tff('568', plain, 10.40/10.65 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.65 inference('sup-', [status(thm)], ['142', '145'])). 10.40/10.65 tff('569', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.65 inference('sup-', [status(thm)], ['567', '568'])). 10.40/10.65 tff('570', plain, 10.40/10.65 ![X0, X1]: 10.40/10.65 (~ zip_tseitin_2(X0) 10.40/10.65 | greater(zero, X1) 10.40/10.65 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.65 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.65 tff('571', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['569', '570'])). 10.40/10.65 tff('572', plain, 10.40/10.65 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('simplify', [status(thm)], ['571'])). 10.40/10.65 tff('573', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['566', '572'])). 10.40/10.65 tff('574', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('simplify', [status(thm)], ['573'])). 10.40/10.65 tff('575', plain, 10.40/10.65 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['184', '185'])). 10.40/10.65 tff('576', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['574', '575'])). 10.40/10.65 tff('577', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('578', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['576', '577'])). 10.40/10.65 tff('579', plain, 10.40/10.65 (~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('sup-', [status(thm)], ['196', '578'])). 10.40/10.65 tff('580', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('581', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('582', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('demod', [status(thm)], ['579', '580', '581'])). 10.40/10.65 tff('583', plain, 10.40/10.65 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.65 tff('584', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('demod', [status(thm)], ['579', '580', '581'])). 10.40/10.65 tff('585', plain, 10.40/10.65 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup+', [status(thm)], ['274', '275'])). 10.40/10.65 tff('586', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.40/10.65 inference('sup-', [status(thm)], ['584', '585'])). 10.40/10.65 tff('587', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('sup+', [status(thm)], ['583', '586'])). 10.40/10.65 tff('588', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('simplify', [status(thm)], ['587'])). 10.40/10.65 tff('589', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['582', '588'])). 10.40/10.65 tff('590', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('simplify', [status(thm)], ['589'])). 10.40/10.65 tff('591', plain, 10.40/10.65 ![X0]: 10.40/10.65 (~ environment(X0) 10.40/10.65 | ~ stable(X0) 10.40/10.65 | sk_T_1(X0) = equilibrium(X0) 10.40/10.65 | greater(sk_T_1(X0), equilibrium(X0))), 10.40/10.65 inference('sup-', [status(thm)], ['16', '17'])). 10.40/10.65 tff('592', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['522'])). 10.40/10.65 tff('593', plain, 10.40/10.65 ![X0]: 10.40/10.65 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_2])). 10.40/10.65 tff('594', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['522'])). 10.40/10.65 tff('595', plain, 10.40/10.65 ![X0]: 10.40/10.65 ( greater_or_equal(sk_T_1(X0), sk_To(X0)) 10.40/10.65 | sk_To(X0) = sk_T_1(X0) 10.40/10.65 | ~ stable(X0) 10.40/10.65 | ~ environment(X0) 10.40/10.65 | greater_or_equal(sk_To(X0), sk_T_1(X0))), 10.40/10.65 inference('sup-', [status(thm)], ['305', '306'])). 10.40/10.65 tff('596', plain, 10.40/10.65 ![X3]: 10.40/10.65 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.65 inference('cnf', [status(esa)], [l1])). 10.40/10.65 tff('597', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('simplify', [status(thm)], ['589'])). 10.40/10.65 tff('598', plain, 10.40/10.65 ![X0]: 10.40/10.65 (~ environment(X0) 10.40/10.65 | ~ stable(X0) 10.40/10.65 | sk_T_1(X0) = equilibrium(X0) 10.40/10.65 | greater(sk_T_1(X0), equilibrium(X0))), 10.40/10.65 inference('sup-', [status(thm)], ['16', '17'])). 10.40/10.65 tff('599', plain, 10.40/10.65 ![X3]: 10.40/10.65 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.65 inference('cnf', [status(esa)], [l1])). 10.40/10.65 tff('600', plain, 10.40/10.65 ![X19]: 10.40/10.65 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.65 inference('cnf', [status(esa)], [a4])). 10.40/10.65 tff('601', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('simplify', [status(thm)], ['589'])). 10.40/10.65 tff('602', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['372', '373'])). 10.40/10.65 tff('603', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('simplify', [status(thm)], ['589'])). 10.40/10.65 tff('604', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['127', '128'])). 10.40/10.65 tff('605', plain, 10.40/10.65 (~ greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['603', '604'])). 10.40/10.65 tff('606', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('sup-', [status(thm)], ['602', '605'])). 10.40/10.65 tff('607', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['606'])). 10.40/10.65 tff('608', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('sup+', [status(thm)], ['601', '607'])). 10.40/10.65 tff('609', plain, 10.40/10.65 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['608'])). 10.40/10.65 tff('610', plain, 10.40/10.65 (~ zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['172', '173'])). 10.40/10.65 tff('611', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['609', '610'])). 10.40/10.65 tff('612', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('613', plain, 10.40/10.65 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['611', '612'])). 10.40/10.65 tff('614', plain, 10.40/10.65 (~ environment(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['600', '613'])). 10.40/10.65 tff('615', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('616', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('617', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['614', '615', '616'])). 10.40/10.65 tff('618', plain, 10.40/10.65 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['184', '185'])). 10.40/10.65 tff('619', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['617', '618'])). 10.40/10.65 tff('620', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('621', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['619', '620'])). 10.40/10.65 tff('622', plain, 10.40/10.65 (~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['599', '621'])). 10.40/10.65 tff('623', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('624', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('625', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['622', '623', '624'])). 10.40/10.65 tff('626', plain, 10.40/10.65 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.65 tff('627', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['622', '623', '624'])). 10.40/10.65 tff('628', plain, 10.40/10.65 ( greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('sup+', [status(thm)], ['400', '413'])). 10.40/10.65 tff('629', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.65 inference('sup-', [status(thm)], ['627', '628'])). 10.40/10.65 tff('630', plain, 10.40/10.65 ( greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['629'])). 10.40/10.65 tff('631', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('sup+', [status(thm)], ['626', '630'])). 10.40/10.65 tff('632', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('simplify', [status(thm)], ['631'])). 10.40/10.65 tff('633', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['625', '632'])). 10.40/10.65 tff('634', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['633'])). 10.40/10.65 tff('635', plain, 10.40/10.65 ![X16, X18]: 10.40/10.65 ( greater(X16, X18) | X16 = X18 | ~ greater_or_equal(X16, X18)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.65 tff('636', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['634', '635'])). 10.40/10.65 tff('637', plain, 10.40/10.65 ( greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['636'])). 10.40/10.65 tff('638', plain, 10.40/10.65 ![X13, X14, X15]: 10.40/10.65 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.65 tff('639', plain, 10.40/10.65 ![X0]: 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | greater(sk_To(sk_E), X0) 10.40/10.65 | ~ greater(sk_T_1(sk_E), X0)), 10.40/10.65 inference('sup-', [status(thm)], ['637', '638'])). 10.40/10.65 tff('640', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['598', '639'])). 10.40/10.65 tff('641', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('642', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('643', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['640', '641', '642'])). 10.40/10.65 tff('644', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['643'])). 10.40/10.65 tff('645', plain, 10.40/10.65 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.65 tff('646', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['644', '645'])). 10.40/10.65 tff('647', plain, 10.40/10.65 (~ greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['603', '604'])). 10.40/10.65 tff('648', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('sup-', [status(thm)], ['646', '647'])). 10.40/10.65 tff('649', plain, 10.40/10.65 ( zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['648'])). 10.40/10.65 tff('650', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup+', [status(thm)], ['597', '649'])). 10.40/10.65 tff('651', plain, 10.40/10.65 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['650'])). 10.40/10.65 tff('652', plain, 10.40/10.65 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['184', '185'])). 10.40/10.65 tff('653', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['651', '652'])). 10.40/10.65 tff('654', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('655', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['653', '654'])). 10.40/10.65 tff('656', plain, 10.40/10.65 (~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['596', '655'])). 10.40/10.65 tff('657', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('658', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('659', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['656', '657', '658'])). 10.40/10.65 tff('660', plain, 10.40/10.65 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.65 tff('661', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['656', '657', '658'])). 10.40/10.65 tff('662', plain, 10.40/10.65 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup+', [status(thm)], ['274', '275'])). 10.40/10.65 tff('663', plain, 10.40/10.65 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.40/10.65 inference('sup-', [status(thm)], ['661', '662'])). 10.40/10.65 tff('664', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.40/10.65 inference('sup+', [status(thm)], ['660', '663'])). 10.40/10.65 tff('665', plain, 10.40/10.65 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('simplify', [status(thm)], ['664'])). 10.40/10.65 tff('666', plain, 10.40/10.65 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['659', '665'])). 10.40/10.65 tff('667', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['666'])). 10.40/10.65 tff('668', plain, 10.40/10.65 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.65 sk_T(sk_T_1(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['2', '3', '4'])). 10.40/10.65 tff('669', plain, 10.40/10.65 ( subpopulations(first_movers, efficient_producers, sk_E, sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('sup+', [status(thm)], ['667', '668'])). 10.40/10.65 tff('670', plain, 10.40/10.65 ![X3, X4]: 10.40/10.65 (~ subpopulations(first_movers, efficient_producers, X3, X4) 10.40/10.65 | ~ greater_or_equal(X4, sk_To(X3)) 10.40/10.65 | greater(growth_rate(efficient_producers, X4), 10.40/10.65 growth_rate(first_movers, X4)) 10.40/10.65 | ~ environment(X3) 10.40/10.65 | ~ stable(X3)), 10.40/10.65 inference('cnf', [status(esa)], [l1])). 10.40/10.65 tff('671', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), 10.40/10.65 growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.65 | ~ greater_or_equal(sk_T_1(sk_E), sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['669', '670'])). 10.40/10.65 tff('672', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('673', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('674', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), 10.40/10.65 growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.65 | ~ greater_or_equal(sk_T_1(sk_E), sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['671', '672', '673'])). 10.40/10.65 tff('675', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), 10.40/10.65 growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['595', '674'])). 10.40/10.65 tff('676', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('677', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('678', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), 10.40/10.65 growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['675', '676', '677'])). 10.40/10.65 tff('679', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), 10.40/10.65 growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['678'])). 10.40/10.65 tff('680', plain, 10.40/10.65 ![X0, X1]: 10.40/10.65 (~ zip_tseitin_2(X0) 10.40/10.65 | greater(zero, X1) 10.40/10.65 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.65 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.65 tff('681', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.65 | ~ zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['679', '680'])). 10.40/10.65 tff('682', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['594', '681'])). 10.40/10.65 tff('683', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['682'])). 10.40/10.65 tff('684', plain, 10.40/10.65 ![X13, X14, X15]: 10.40/10.65 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.65 tff('685', plain, 10.40/10.65 ![X0]: 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | greater(zero, X0) 10.40/10.65 | ~ greater(growth_rate(first_movers, sk_T_1(sk_E)), X0)), 10.40/10.65 inference('sup-', [status(thm)], ['683', '684'])). 10.40/10.65 tff('686', plain, 10.40/10.65 (~ zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['593', '685'])). 10.40/10.65 tff('687', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | ~ zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['686'])). 10.40/10.65 tff('688', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['592', '687'])). 10.40/10.65 tff('689', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['688'])). 10.40/10.65 tff('690', plain, 10.40/10.65 ![X16, X18]: 10.40/10.65 ( greater(X16, X18) | X16 = X18 | ~ greater_or_equal(X16, X18)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.65 tff('691', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['689', '690'])). 10.40/10.65 tff('692', plain, 10.40/10.65 ( greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['691'])). 10.40/10.65 tff('693', plain, 10.40/10.65 ![X13, X14, X15]: 10.40/10.65 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.65 tff('694', plain, 10.40/10.65 ![X0]: 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(sk_To(sk_E), X0) 10.40/10.65 | ~ greater(sk_T_1(sk_E), X0)), 10.40/10.65 inference('sup-', [status(thm)], ['692', '693'])). 10.40/10.65 tff('695', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['591', '694'])). 10.40/10.65 tff('696', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('697', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('698', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['695', '696', '697'])). 10.40/10.65 tff('699', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['698'])). 10.40/10.65 tff('700', plain, 10.40/10.65 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.65 tff('701', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['699', '700'])). 10.40/10.65 tff('702', plain, 10.40/10.65 (~ greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['603', '604'])). 10.40/10.65 tff('703', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('sup-', [status(thm)], ['701', '702'])). 10.40/10.65 tff('704', plain, 10.40/10.65 ( zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('simplify', [status(thm)], ['703'])). 10.40/10.65 tff('705', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup+', [status(thm)], ['590', '704'])). 10.40/10.65 tff('706', plain, 10.40/10.65 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['705'])). 10.40/10.65 tff('707', plain, 10.40/10.65 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['184', '185'])). 10.40/10.65 tff('708', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['706', '707'])). 10.40/10.65 tff('709', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('710', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['708', '709'])). 10.40/10.65 tff('711', plain, 10.40/10.65 (~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['195', '710'])). 10.40/10.65 tff('712', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('713', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('714', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['711', '712', '713'])). 10.40/10.65 tff('715', plain, 10.40/10.65 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.65 tff('716', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['711', '712', '713'])). 10.40/10.65 tff('717', plain, 10.40/10.65 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup+', [status(thm)], ['274', '275'])). 10.40/10.65 tff('718', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.40/10.65 inference('sup-', [status(thm)], ['716', '717'])). 10.40/10.65 tff('719', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup+', [status(thm)], ['715', '718'])). 10.40/10.65 tff('720', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('simplify', [status(thm)], ['719'])). 10.40/10.65 tff('721', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['714', '720'])). 10.40/10.65 tff('722', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['721'])). 10.40/10.65 tff('723', plain, 10.40/10.65 ![X0]: 10.40/10.65 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_2])). 10.40/10.65 tff('724', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['721'])). 10.40/10.65 tff('725', plain, 10.40/10.65 ![X3]: 10.40/10.65 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.65 inference('cnf', [status(esa)], [l1])). 10.40/10.65 tff('726', plain, 10.40/10.65 ![X0]: 10.40/10.65 (~ environment(X0) 10.40/10.65 | ~ stable(X0) 10.40/10.65 | sk_T_1(X0) = equilibrium(X0) 10.40/10.65 | greater(sk_T_1(X0), equilibrium(X0))), 10.40/10.65 inference('sup-', [status(thm)], ['16', '17'])). 10.40/10.65 tff('727', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['721'])). 10.40/10.65 tff('728', plain, 10.40/10.65 ![X0]: 10.40/10.65 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_2])). 10.40/10.65 tff('729', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['721'])). 10.40/10.65 tff('730', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['362'])). 10.40/10.65 tff('731', plain, 10.40/10.65 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.65 sk_T(sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['12', '13', '14'])). 10.40/10.65 tff('732', plain, 10.40/10.65 ( subpopulations(first_movers, efficient_producers, sk_E, sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup+', [status(thm)], ['730', '731'])). 10.40/10.65 tff('733', plain, 10.40/10.65 ![X3, X4]: 10.40/10.65 (~ subpopulations(first_movers, efficient_producers, X3, X4) 10.40/10.65 | ~ greater_or_equal(X4, sk_To(X3)) 10.40/10.65 | greater(growth_rate(efficient_producers, X4), 10.40/10.65 growth_rate(first_movers, X4)) 10.40/10.65 | ~ environment(X3) 10.40/10.65 | ~ stable(X3)), 10.40/10.65 inference('cnf', [status(esa)], [l1])). 10.40/10.65 tff('734', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.40/10.65 growth_rate(first_movers, sk_To(sk_E))) 10.40/10.65 | ~ greater_or_equal(sk_To(sk_E), sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['732', '733'])). 10.40/10.65 tff('735', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('736', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('737', plain, ![X16, X17]: ( greater_or_equal(X16, X17) | X16 != X17), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.65 tff('738', plain, ![X17]: greater_or_equal(X17, X17), 10.40/10.65 inference('simplify', [status(thm)], ['737'])). 10.40/10.65 tff('739', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.40/10.65 growth_rate(first_movers, sk_To(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['734', '735', '736', '738'])). 10.40/10.65 tff('740', plain, 10.40/10.65 ![X0, X1]: 10.40/10.65 (~ zip_tseitin_2(X0) 10.40/10.65 | greater(zero, X1) 10.40/10.65 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.65 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.65 tff('741', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.40/10.65 | ~ zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['739', '740'])). 10.40/10.65 tff('742', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['729', '741'])). 10.40/10.65 tff('743', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['742'])). 10.40/10.65 tff('744', plain, 10.40/10.65 ![X13, X14, X15]: 10.40/10.65 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.65 tff('745', plain, 10.40/10.65 ![X0]: 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, X0) 10.40/10.65 | ~ greater(growth_rate(first_movers, sk_To(sk_E)), X0)), 10.40/10.65 inference('sup-', [status(thm)], ['743', '744'])). 10.40/10.65 tff('746', plain, 10.40/10.65 (~ zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['728', '745'])). 10.40/10.65 tff('747', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | ~ zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['746'])). 10.40/10.65 tff('748', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['727', '747'])). 10.40/10.65 tff('749', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['748'])). 10.40/10.65 tff('750', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['748'])). 10.40/10.65 tff('751', plain, 10.40/10.65 ![X0]: 10.40/10.65 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_2])). 10.40/10.65 tff('752', plain, 10.40/10.65 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), 10.40/10.65 growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['538'])). 10.40/10.65 tff('753', plain, 10.40/10.65 ![X13, X14, X15]: 10.40/10.65 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.65 tff('754', plain, 10.40/10.65 ![X0]: 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), X0) 10.40/10.65 | ~ greater(growth_rate(first_movers, sk_T_1(sk_E)), X0)), 10.40/10.65 inference('sup-', [status(thm)], ['752', '753'])). 10.40/10.65 tff('755', plain, 10.40/10.65 (~ zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), zero) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['751', '754'])). 10.40/10.65 tff('756', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), zero)), 10.40/10.65 inference('sup-', [status(thm)], ['750', '755'])). 10.40/10.65 tff('757', plain, 10.40/10.65 ( greater(growth_rate(efficient_producers, sk_T_1(sk_E)), zero) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['756'])). 10.40/10.65 tff('758', plain, 10.40/10.65 ![X0, X1]: 10.40/10.65 (~ zip_tseitin_2(X0) 10.40/10.65 | greater(zero, X1) 10.40/10.65 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.65 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.65 tff('759', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | ~ zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['757', '758'])). 10.40/10.65 tff('760', plain, 10.40/10.65 (~ zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['759'])). 10.40/10.65 tff('761', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['749', '760'])). 10.40/10.65 tff('762', plain, 10.40/10.65 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['761'])). 10.40/10.65 tff('763', plain, 10.40/10.65 ![X16, X18]: 10.40/10.65 ( greater(X16, X18) | X16 = X18 | ~ greater_or_equal(X16, X18)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.65 tff('764', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['762', '763'])). 10.40/10.65 tff('765', plain, 10.40/10.65 ( greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['764'])). 10.40/10.65 tff('766', plain, 10.40/10.65 ![X0]: 10.40/10.65 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(sk_T(sk_To(sk_E)), X0) 10.40/10.65 | ~ greater(sk_To(sk_E), X0)), 10.40/10.65 inference('sup-', [status(thm)], ['119', '120'])). 10.40/10.65 tff('767', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(sk_T(sk_To(sk_E)), sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['765', '766'])). 10.40/10.65 tff('768', plain, 10.40/10.65 ( greater(sk_T(sk_To(sk_E)), sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['767'])). 10.40/10.65 tff('769', plain, 10.40/10.65 ![X13, X14, X15]: 10.40/10.65 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.65 tff('770', plain, 10.40/10.65 ![X0]: 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(sk_T(sk_To(sk_E)), X0) 10.40/10.65 | ~ greater(sk_T_1(sk_E), X0)), 10.40/10.65 inference('sup-', [status(thm)], ['768', '769'])). 10.40/10.65 tff('771', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['726', '770'])). 10.40/10.65 tff('772', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('773', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('774', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['771', '772', '773'])). 10.40/10.65 tff('775', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['774'])). 10.40/10.65 tff('776', plain, 10.40/10.65 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.65 tff('777', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['775', '776'])). 10.40/10.65 tff('778', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['127', '128'])). 10.40/10.65 tff('779', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['777', '778'])). 10.40/10.65 tff('780', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['777', '778'])). 10.40/10.65 tff('781', plain, 10.40/10.65 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.65 inference('sup-', [status(thm)], ['142', '145'])). 10.40/10.65 tff('782', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.65 inference('sup-', [status(thm)], ['780', '781'])). 10.40/10.65 tff('783', plain, 10.40/10.65 ![X0, X1]: 10.40/10.65 (~ zip_tseitin_2(X0) 10.40/10.65 | greater(zero, X1) 10.40/10.65 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.65 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.65 tff('784', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['782', '783'])). 10.40/10.65 tff('785', plain, 10.40/10.65 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['784'])). 10.40/10.65 tff('786', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['779', '785'])). 10.40/10.65 tff('787', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('simplify', [status(thm)], ['786'])). 10.40/10.65 tff('788', plain, 10.40/10.65 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['184', '185'])). 10.40/10.65 tff('789', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['787', '788'])). 10.40/10.65 tff('790', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('791', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['789', '790'])). 10.40/10.65 tff('792', plain, 10.40/10.65 (~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['725', '791'])). 10.40/10.65 tff('793', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('794', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('795', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['792', '793', '794'])). 10.40/10.65 tff('796', plain, 10.40/10.65 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.65 tff('797', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['792', '793', '794'])). 10.40/10.65 tff('798', plain, 10.40/10.65 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup+', [status(thm)], ['274', '275'])). 10.40/10.65 tff('799', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.40/10.65 inference('sup-', [status(thm)], ['797', '798'])). 10.40/10.65 tff('800', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('sup+', [status(thm)], ['796', '799'])). 10.40/10.65 tff('801', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | greater(zero, zero)), 10.40/10.65 inference('simplify', [status(thm)], ['800'])). 10.40/10.65 tff('802', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['795', '801'])). 10.40/10.65 tff('803', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['802'])). 10.40/10.65 tff('804', plain, 10.40/10.65 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.65 sk_T(sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['12', '13', '14'])). 10.40/10.65 tff('805', plain, 10.40/10.65 ( subpopulations(first_movers, efficient_producers, sk_E, sk_To(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup+', [status(thm)], ['803', '804'])). 10.40/10.65 tff('806', plain, 10.40/10.65 ![X3, X4]: 10.40/10.65 (~ subpopulations(first_movers, efficient_producers, X3, X4) 10.40/10.65 | ~ greater_or_equal(X4, sk_To(X3)) 10.40/10.65 | greater(growth_rate(efficient_producers, X4), 10.40/10.65 growth_rate(first_movers, X4)) 10.40/10.65 | ~ environment(X3) 10.40/10.65 | ~ stable(X3)), 10.40/10.65 inference('cnf', [status(esa)], [l1])). 10.40/10.65 tff('807', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.40/10.65 growth_rate(first_movers, sk_To(sk_E))) 10.40/10.65 | ~ greater_or_equal(sk_To(sk_E), sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['805', '806'])). 10.40/10.65 tff('808', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('809', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('810', plain, ![X17]: greater_or_equal(X17, X17), 10.40/10.65 inference('simplify', [status(thm)], ['737'])). 10.40/10.65 tff('811', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.40/10.65 growth_rate(first_movers, sk_To(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['807', '808', '809', '810'])). 10.40/10.65 tff('812', plain, 10.40/10.65 ![X0, X1]: 10.40/10.65 (~ zip_tseitin_2(X0) 10.40/10.65 | greater(zero, X1) 10.40/10.65 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.65 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.65 tff('813', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.40/10.65 | ~ zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['811', '812'])). 10.40/10.65 tff('814', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['724', '813'])). 10.40/10.65 tff('815', plain, 10.40/10.65 ( greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['814'])). 10.40/10.65 tff('816', plain, 10.40/10.65 ![X13, X14, X15]: 10.40/10.65 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.65 tff('817', plain, 10.40/10.65 ![X0]: 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | greater(zero, X0) 10.40/10.65 | ~ greater(growth_rate(first_movers, sk_To(sk_E)), X0)), 10.40/10.65 inference('sup-', [status(thm)], ['815', '816'])). 10.40/10.65 tff('818', plain, 10.40/10.65 (~ zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['723', '817'])). 10.40/10.65 tff('819', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | ~ zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['818'])). 10.40/10.65 tff('820', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['722', '819'])). 10.40/10.65 tff('821', plain, 10.40/10.65 ( greater(zero, zero) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['820'])). 10.40/10.65 tff('822', plain, 10.40/10.65 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.65 tff('823', plain, 10.40/10.65 ![X0]: 10.40/10.65 (growth_rate(efficient_producers, X0) = zero | ~ zip_tseitin_0(X0)), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.65 tff('824', plain, 10.40/10.65 ![X8, X9, X10, X11]: 10.40/10.65 (~ environment(X8) 10.40/10.65 | ~ subpopulations(X9, X10, X8, X11) 10.40/10.65 | outcompetes(X10, X9, X11) 10.40/10.65 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.40/10.65 | ~ greater(zero, growth_rate(X9, X11))), 10.40/10.65 inference('cnf', [status(esa)], [d2])). 10.40/10.65 tff('825', plain, 10.40/10.65 ![X0, X1, X2]: 10.40/10.65 (~ greater_or_equal(zero, zero) 10.40/10.65 | ~ zip_tseitin_0(X0) 10.40/10.65 | ~ greater(zero, growth_rate(X1, X0)) 10.40/10.65 | outcompetes(efficient_producers, X1, X0) 10.40/10.65 | ~ subpopulations(X1, efficient_producers, X2, X0) 10.40/10.65 | ~ environment(X2)), 10.40/10.65 inference('sup-', [status(thm)], ['823', '824'])). 10.40/10.65 tff('826', plain, ![X17]: greater_or_equal(X17, X17), 10.40/10.65 inference('simplify', [status(thm)], ['737'])). 10.40/10.65 tff('827', plain, 10.40/10.65 ![X0, X1, X2]: 10.40/10.65 (~ zip_tseitin_0(X0) 10.40/10.65 | ~ greater(zero, growth_rate(X1, X0)) 10.40/10.65 | outcompetes(efficient_producers, X1, X0) 10.40/10.65 | ~ subpopulations(X1, efficient_producers, X2, X0) 10.40/10.65 | ~ environment(X2)), 10.40/10.65 inference('demod', [status(thm)], ['825', '826'])). 10.40/10.65 tff('828', plain, 10.40/10.65 ![X0, X1]: 10.40/10.65 (~ greater(zero, zero) 10.40/10.65 | ~ zip_tseitin_0(X0) 10.40/10.65 | ~ environment(X1) 10.40/10.65 | ~ subpopulations(first_movers, efficient_producers, X1, X0) 10.40/10.65 | outcompetes(efficient_producers, first_movers, X0) 10.40/10.65 | ~ zip_tseitin_0(X0)), 10.40/10.65 inference('sup-', [status(thm)], ['822', '827'])). 10.40/10.65 tff('829', plain, 10.40/10.65 ![X0, X1]: 10.40/10.65 ( outcompetes(efficient_producers, first_movers, X0) 10.40/10.65 | ~ subpopulations(first_movers, efficient_producers, X1, X0) 10.40/10.65 | ~ environment(X1) 10.40/10.65 | ~ zip_tseitin_0(X0) 10.40/10.65 | ~ greater(zero, zero)), 10.40/10.65 inference('simplify', [status(thm)], ['828'])). 10.40/10.65 tff('830', plain, 10.40/10.65 ![X0, X1]: 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | ~ zip_tseitin_0(X0) 10.40/10.65 | ~ environment(X1) 10.40/10.65 | ~ subpopulations(first_movers, efficient_producers, X1, X0) 10.40/10.65 | outcompetes(efficient_producers, first_movers, X0)), 10.40/10.65 inference('sup-', [status(thm)], ['821', '829'])). 10.40/10.65 tff('831', plain, 10.40/10.65 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['194', '830'])). 10.40/10.65 tff('832', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('833', plain, 10.40/10.65 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['831', '832'])). 10.40/10.65 tff('834', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['193', '833'])). 10.40/10.65 tff('835', plain, 10.40/10.65 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('simplify', [status(thm)], ['834'])). 10.40/10.65 tff('836', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('837', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['835', '836'])). 10.40/10.65 tff('838', plain, 10.40/10.65 (~ environment(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['25', '837'])). 10.40/10.65 tff('839', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('840', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('841', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['838', '839', '840'])). 10.40/10.65 tff('842', plain, 10.40/10.65 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.65 sk_T(sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['12', '13', '14'])). 10.40/10.65 tff('843', plain, 10.40/10.65 ![X0, X1]: 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | ~ zip_tseitin_0(X0) 10.40/10.65 | ~ environment(X1) 10.40/10.65 | ~ subpopulations(first_movers, efficient_producers, X1, X0) 10.40/10.65 | outcompetes(efficient_producers, first_movers, X0)), 10.40/10.65 inference('sup-', [status(thm)], ['821', '829'])). 10.40/10.65 tff('844', plain, 10.40/10.65 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['842', '843'])). 10.40/10.65 tff('845', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('846', plain, 10.40/10.65 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['844', '845'])). 10.40/10.65 tff('847', plain, 10.40/10.65 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['841', '846'])). 10.40/10.65 tff('848', plain, 10.40/10.65 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['847'])). 10.40/10.65 tff('849', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('850', plain, 10.40/10.65 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['848', '849'])). 10.40/10.65 tff('851', plain, 10.40/10.65 (~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['24', '850'])). 10.40/10.65 tff('852', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('853', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('854', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['851', '852', '853'])). 10.40/10.65 tff('855', plain, 10.40/10.65 ![X19]: 10.40/10.65 ( greater_or_equal(sk_T_1(X19), equilibrium(X19)) 10.40/10.65 | ~ stable(X19) 10.40/10.65 | ~ environment(X19)), 10.40/10.65 inference('cnf', [status(esa)], [a4])). 10.40/10.65 tff('856', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['851', '852', '853'])). 10.40/10.65 tff('857', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.65 | ~ greater_or_equal(sk_T(sk_T_1(sk_E)), equilibrium(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['52', '53'])). 10.40/10.65 tff('858', plain, 10.40/10.65 (~ greater_or_equal(sk_T_1(sk_E), equilibrium(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['856', '857'])). 10.40/10.65 tff('859', plain, 10.40/10.65 (~ environment(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['855', '858'])). 10.40/10.65 tff('860', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('861', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('862', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['859', '860', '861'])). 10.40/10.65 tff('863', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup+', [status(thm)], ['854', '862'])). 10.40/10.65 tff('864', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['863'])). 10.40/10.65 tff('865', plain, 10.40/10.65 (~ zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['172', '173'])). 10.40/10.65 tff('866', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['864', '865'])). 10.40/10.65 tff('867', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('868', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['866', '867'])). 10.40/10.65 tff('869', plain, 10.40/10.65 (~ environment(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['23', '868'])). 10.40/10.65 tff('870', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('871', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('872', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['869', '870', '871'])). 10.40/10.65 tff('873', plain, 10.40/10.65 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['831', '832'])). 10.40/10.65 tff('874', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['872', '873'])). 10.40/10.65 tff('875', plain, 10.40/10.65 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['874'])). 10.40/10.65 tff('876', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('877', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['875', '876'])). 10.40/10.65 tff('878', plain, 10.40/10.65 (~ environment(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['22', '877'])). 10.40/10.65 tff('879', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('880', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('881', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['878', '879', '880'])). 10.40/10.65 tff('882', plain, 10.40/10.65 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.65 sk_T(sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['12', '13', '14'])). 10.40/10.65 tff('883', plain, 10.40/10.65 ( subpopulations(first_movers, efficient_producers, sk_E, sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.65 inference('sup+', [status(thm)], ['881', '882'])). 10.40/10.65 tff('884', plain, 10.40/10.65 ![X3]: 10.40/10.65 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.65 inference('cnf', [status(esa)], [l1])). 10.40/10.65 tff('885', plain, 10.40/10.65 ![X3]: 10.40/10.65 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.65 inference('cnf', [status(esa)], [l1])). 10.40/10.65 tff('886', plain, 10.40/10.65 ![X3]: 10.40/10.65 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.65 inference('cnf', [status(esa)], [l1])). 10.40/10.65 tff('887', plain, 10.40/10.65 ![X3]: 10.40/10.65 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.65 inference('cnf', [status(esa)], [l1])). 10.40/10.65 tff('888', plain, 10.40/10.65 ![X3]: 10.40/10.65 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.65 inference('cnf', [status(esa)], [l1])). 10.40/10.65 tff('889', plain, 10.40/10.65 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.65 sk_T(sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['12', '13', '14'])). 10.40/10.65 tff('890', plain, 10.40/10.65 ![X0]: 10.40/10.65 (~ environment(X0) 10.40/10.65 | ~ stable(X0) 10.40/10.65 | sk_T_1(X0) = equilibrium(X0) 10.40/10.65 | greater(sk_T_1(X0), equilibrium(X0))), 10.40/10.65 inference('sup-', [status(thm)], ['16', '17'])). 10.40/10.65 tff('891', plain, 10.40/10.65 ![X19]: 10.40/10.65 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.65 inference('cnf', [status(esa)], [a4])). 10.40/10.65 tff('892', plain, 10.40/10.65 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.65 sk_T(sk_T_1(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['2', '3', '4'])). 10.40/10.65 tff('893', plain, 10.40/10.65 ![X19]: 10.40/10.65 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.65 inference('cnf', [status(esa)], [a4])). 10.40/10.65 tff('894', plain, 10.40/10.65 ![X19]: 10.40/10.65 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.65 inference('cnf', [status(esa)], [a4])). 10.40/10.65 tff('895', plain, 10.40/10.65 ![X3]: 10.40/10.65 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.65 inference('cnf', [status(esa)], [l1])). 10.40/10.65 tff('896', plain, 10.40/10.65 ![X19]: 10.40/10.65 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.65 inference('cnf', [status(esa)], [a4])). 10.40/10.65 tff('897', plain, 10.40/10.65 ![X3]: 10.40/10.65 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.65 inference('cnf', [status(esa)], [l1])). 10.40/10.65 tff('898', plain, 10.40/10.65 ![X19]: 10.40/10.65 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.65 inference('cnf', [status(esa)], [a4])). 10.40/10.65 tff('899', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['878', '879', '880'])). 10.40/10.65 tff('900', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['372', '373'])). 10.40/10.65 tff('901', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['878', '879', '880'])). 10.40/10.65 tff('902', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['127', '128'])). 10.40/10.65 tff('903', plain, 10.40/10.65 (~ greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['901', '902'])). 10.40/10.65 tff('904', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['900', '903'])). 10.40/10.65 tff('905', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['904'])). 10.40/10.65 tff('906', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.65 inference('sup+', [status(thm)], ['899', '905'])). 10.40/10.65 tff('907', plain, 10.40/10.65 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['906'])). 10.40/10.65 tff('908', plain, 10.40/10.65 (~ zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['172', '173'])). 10.40/10.65 tff('909', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['907', '908'])). 10.40/10.65 tff('910', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('911', plain, 10.40/10.65 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['909', '910'])). 10.40/10.65 tff('912', plain, 10.40/10.65 (~ environment(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['898', '911'])). 10.40/10.65 tff('913', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('914', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('915', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_To(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['912', '913', '914'])). 10.40/10.65 tff('916', plain, 10.40/10.65 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['184', '185'])). 10.40/10.65 tff('917', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['915', '916'])). 10.40/10.65 tff('918', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('919', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['917', '918'])). 10.40/10.65 tff('920', plain, 10.40/10.65 (~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['897', '919'])). 10.40/10.65 tff('921', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('922', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('923', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['920', '921', '922'])). 10.40/10.65 tff('924', plain, 10.40/10.65 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['831', '832'])). 10.40/10.65 tff('925', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['923', '924'])). 10.40/10.65 tff('926', plain, 10.40/10.65 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['925'])). 10.40/10.65 tff('927', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('928', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['926', '927'])). 10.40/10.65 tff('929', plain, 10.40/10.65 (~ environment(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['896', '928'])). 10.40/10.65 tff('930', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('931', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('932', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['929', '930', '931'])). 10.40/10.65 tff('933', plain, 10.40/10.65 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['844', '845'])). 10.40/10.65 tff('934', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['932', '933'])). 10.40/10.65 tff('935', plain, 10.40/10.65 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['934'])). 10.40/10.65 tff('936', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('937', plain, 10.40/10.65 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['935', '936'])). 10.40/10.65 tff('938', plain, 10.40/10.65 (~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['895', '937'])). 10.40/10.65 tff('939', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('940', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('941', plain, 10.40/10.65 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['938', '939', '940'])). 10.40/10.65 tff('942', plain, 10.40/10.65 ![X19]: 10.40/10.65 ( greater_or_equal(sk_T_1(X19), equilibrium(X19)) 10.40/10.65 | ~ stable(X19) 10.40/10.65 | ~ environment(X19)), 10.40/10.65 inference('cnf', [status(esa)], [a4])). 10.40/10.65 tff('943', plain, 10.40/10.65 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['938', '939', '940'])). 10.40/10.65 tff('944', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.65 | ~ greater_or_equal(sk_T(sk_T_1(sk_E)), equilibrium(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['52', '53'])). 10.40/10.65 tff('945', plain, 10.40/10.65 (~ greater_or_equal(sk_T_1(sk_E), equilibrium(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['943', '944'])). 10.40/10.65 tff('946', plain, 10.40/10.65 (~ environment(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['942', '945'])). 10.40/10.65 tff('947', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('948', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('949', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['946', '947', '948'])). 10.40/10.65 tff('950', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup+', [status(thm)], ['941', '949'])). 10.40/10.65 tff('951', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['950'])). 10.40/10.65 tff('952', plain, 10.40/10.65 (~ zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['172', '173'])). 10.40/10.65 tff('953', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['951', '952'])). 10.40/10.65 tff('954', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('955', plain, 10.40/10.65 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['953', '954'])). 10.40/10.65 tff('956', plain, 10.40/10.65 (~ environment(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['894', '955'])). 10.40/10.65 tff('957', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('958', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('959', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['956', '957', '958'])). 10.40/10.65 tff('960', plain, 10.40/10.65 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.65 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['831', '832'])). 10.40/10.65 tff('961', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['959', '960'])). 10.40/10.65 tff('962', plain, 10.40/10.65 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['961'])). 10.40/10.65 tff('963', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('964', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['962', '963'])). 10.40/10.65 tff('965', plain, 10.40/10.65 (~ environment(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['893', '964'])). 10.40/10.65 tff('966', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('967', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('968', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['965', '966', '967'])). 10.40/10.65 tff('969', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['851', '852', '853'])). 10.40/10.65 tff('970', plain, 10.40/10.65 ![X0]: 10.40/10.65 ( greater_or_equal(sk_T_1(X0), sk_To(X0)) 10.40/10.65 | sk_To(X0) = sk_T_1(X0) 10.40/10.65 | ~ stable(X0) 10.40/10.65 | ~ environment(X0) 10.40/10.65 | greater_or_equal(sk_To(X0), sk_T_1(X0))), 10.40/10.65 inference('sup-', [status(thm)], ['305', '306'])). 10.40/10.65 tff('971', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['851', '852', '853'])). 10.40/10.65 tff('972', plain, 10.40/10.65 ( greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.65 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | ~ greater_or_equal(sk_T(sk_T_1(sk_E)), sk_To(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['71', '72', '73'])). 10.40/10.65 tff('973', plain, 10.40/10.65 (~ greater_or_equal(sk_T_1(sk_E), sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.65 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.65 inference('sup-', [status(thm)], ['971', '972'])). 10.40/10.65 tff('974', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.65 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['970', '973'])). 10.40/10.65 tff('975', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('976', plain, stable(sk_E), inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('977', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.65 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['974', '975', '976'])). 10.40/10.65 tff('978', plain, 10.40/10.65 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.65 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['977'])). 10.40/10.65 tff('979', plain, 10.40/10.65 ![X0, X1]: 10.40/10.65 (~ zip_tseitin_2(X0) 10.40/10.65 | greater(zero, X1) 10.40/10.65 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.65 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.65 tff('980', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | ~ zip_tseitin_2(sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['978', '979'])). 10.40/10.65 tff('981', plain, 10.40/10.65 (~ zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['969', '980'])). 10.40/10.65 tff('982', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | ~ zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['981'])). 10.40/10.65 tff('983', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['968', '982'])). 10.40/10.65 tff('984', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['983'])). 10.40/10.65 tff('985', plain, 10.40/10.65 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['965', '966', '967'])). 10.40/10.65 tff('986', plain, 10.40/10.65 ![X0]: 10.40/10.65 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_2])). 10.40/10.65 tff('987', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('demod', [status(thm)], ['851', '852', '853'])). 10.40/10.65 tff('988', plain, 10.40/10.65 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.65 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('simplify', [status(thm)], ['977'])). 10.40/10.65 tff('989', plain, 10.40/10.65 ( greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.65 growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('sup+', [status(thm)], ['987', '988'])). 10.40/10.65 tff('990', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.65 growth_rate(first_movers, sk_T_1(sk_E)))), 10.40/10.65 inference('simplify', [status(thm)], ['989'])). 10.40/10.65 tff('991', plain, 10.40/10.65 ![X13, X14, X15]: 10.40/10.65 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.65 tff('992', plain, 10.40/10.65 ![X0]: 10.40/10.65 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), X0) 10.40/10.65 | ~ greater(growth_rate(first_movers, sk_T_1(sk_E)), X0)), 10.40/10.65 inference('sup-', [status(thm)], ['990', '991'])). 10.40/10.65 tff('993', plain, 10.40/10.65 (~ zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['986', '992'])). 10.40/10.65 tff('994', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero)), 10.40/10.65 inference('sup-', [status(thm)], ['985', '993'])). 10.40/10.65 tff('995', plain, 10.40/10.65 ( greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['994'])). 10.40/10.65 tff('996', plain, 10.40/10.65 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.65 tff('997', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | greater_or_equal( 10.40/10.65 growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero)), 10.40/10.65 inference('sup-', [status(thm)], ['995', '996'])). 10.40/10.65 tff('998', plain, 10.40/10.65 ![X8, X9, X10, X11]: 10.40/10.65 (~ environment(X8) 10.40/10.65 | ~ subpopulations(X9, X10, X8, X11) 10.40/10.65 | outcompetes(X10, X9, X11) 10.40/10.65 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.40/10.65 | ~ greater(zero, growth_rate(X9, X11))), 10.40/10.65 inference('cnf', [status(esa)], [d2])). 10.40/10.65 tff('999', plain, 10.40/10.65 ![X0, X1]: 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | ~ greater(zero, growth_rate(X0, sk_T(sk_T_1(sk_E)))) 10.40/10.65 | outcompetes(efficient_producers, X0, sk_T(sk_T_1(sk_E))) 10.40/10.65 | ~ subpopulations(X0, efficient_producers, X1, sk_T(sk_T_1(sk_E))) 10.40/10.65 | ~ environment(X1)), 10.40/10.65 inference('sup-', [status(thm)], ['997', '998'])). 10.40/10.65 tff('1000', plain, 10.40/10.65 ![X0]: 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | ~ environment(X0) 10.40/10.65 | ~ subpopulations(first_movers, efficient_producers, X0, 10.40/10.65 sk_T(sk_T_1(sk_E))) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['984', '999'])). 10.40/10.65 tff('1001', plain, 10.40/10.65 ![X0]: 10.40/10.65 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.65 | ~ subpopulations(first_movers, efficient_producers, X0, 10.40/10.65 sk_T(sk_T_1(sk_E))) 10.40/10.65 | ~ environment(X0) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['1000'])). 10.40/10.65 tff('1002', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('sup-', [status(thm)], ['892', '1001'])). 10.40/10.65 tff('1003', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('1004', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.65 inference('demod', [status(thm)], ['1002', '1003'])). 10.40/10.65 tff('1005', plain, 10.40/10.65 ![X12]: 10.40/10.65 (~ in_environment(sk_E, X12) 10.40/10.65 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('1006', plain, 10.40/10.65 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['1004', '1005'])). 10.40/10.65 tff('1007', plain, 10.40/10.65 (~ environment(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['891', '1006'])). 10.40/10.65 tff('1008', plain, environment(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('1009', plain, stable(sk_E), 10.40/10.65 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.65 tff('1010', plain, 10.40/10.65 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('demod', [status(thm)], ['1007', '1008', '1009'])). 10.40/10.65 tff('1011', plain, 10.40/10.65 ![X16, X18]: 10.40/10.65 ( greater(X16, X18) | X16 = X18 | ~ greater_or_equal(X16, X18)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.65 tff('1012', plain, 10.40/10.65 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.65 inference('sup-', [status(thm)], ['1010', '1011'])). 10.40/10.65 tff('1013', plain, 10.40/10.65 ( greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['1012'])). 10.40/10.65 tff('1014', plain, 10.40/10.65 ![X0]: 10.40/10.65 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | greater(sk_T(sk_To(sk_E)), X0) 10.40/10.65 | ~ greater(sk_To(sk_E), X0)), 10.40/10.65 inference('sup-', [status(thm)], ['119', '120'])). 10.40/10.65 tff('1015', plain, 10.40/10.65 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(sk_T(sk_To(sk_E)), sk_T_1(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['1013', '1014'])). 10.40/10.65 tff('1016', plain, 10.40/10.65 ( greater(sk_T(sk_To(sk_E)), sk_T_1(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('simplify', [status(thm)], ['1015'])). 10.40/10.65 tff('1017', plain, 10.40/10.65 ![X13, X14, X15]: 10.40/10.65 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.65 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.65 tff('1018', plain, 10.40/10.65 ![X0]: 10.40/10.65 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | greater(sk_T(sk_To(sk_E)), X0) 10.40/10.65 | ~ greater(sk_T_1(sk_E), X0)), 10.40/10.65 inference('sup-', [status(thm)], ['1016', '1017'])). 10.40/10.65 tff('1019', plain, 10.40/10.65 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | ~ stable(sk_E) 10.40/10.65 | ~ environment(sk_E) 10.40/10.65 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.65 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.65 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.65 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.65 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.65 inference('sup-', [status(thm)], ['890', '1018'])). 10.40/10.65 tff('1020', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1021', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1022', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1019', '1020', '1021'])). 10.40/10.66 tff('1023', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1022'])). 10.40/10.66 tff('1024', plain, 10.40/10.66 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.66 tff('1025', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1023', '1024'])). 10.40/10.66 tff('1026', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.66 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['127', '128'])). 10.40/10.66 tff('1027', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1025', '1026'])). 10.40/10.66 tff('1028', plain, 10.40/10.66 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.40/10.66 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['137', '138'])). 10.40/10.66 tff('1029', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.40/10.66 inference('sup-', [status(thm)], ['1027', '1028'])). 10.40/10.66 tff('1030', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1025', '1026'])). 10.40/10.66 tff('1031', plain, 10.40/10.66 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['142', '145'])). 10.40/10.66 tff('1032', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1030', '1031'])). 10.40/10.66 tff('1033', plain, 10.40/10.66 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.66 tff('1034', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | greater_or_equal( 10.40/10.66 growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1032', '1033'])). 10.40/10.66 tff('1035', plain, 10.40/10.66 ![X8, X9, X10, X11]: 10.40/10.66 (~ environment(X8) 10.40/10.66 | ~ subpopulations(X9, X10, X8, X11) 10.40/10.66 | outcompetes(X10, X9, X11) 10.40/10.66 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.40/10.66 | ~ greater(zero, growth_rate(X9, X11))), 10.40/10.66 inference('cnf', [status(esa)], [d2])). 10.40/10.66 tff('1036', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | ~ greater(zero, growth_rate(X0, sk_T(sk_To(sk_E)))) 10.40/10.66 | outcompetes(efficient_producers, X0, sk_T(sk_To(sk_E))) 10.40/10.66 | ~ subpopulations(X0, efficient_producers, X1, sk_T(sk_To(sk_E))) 10.40/10.66 | ~ environment(X1)), 10.40/10.66 inference('sup-', [status(thm)], ['1034', '1035'])). 10.40/10.66 tff('1037', plain, 10.40/10.66 ![X0]: 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | ~ environment(X0) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, 10.40/10.66 sk_T(sk_To(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1029', '1036'])). 10.40/10.66 tff('1038', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, 10.40/10.66 sk_T(sk_To(sk_E))) 10.40/10.66 | ~ environment(X0) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1037'])). 10.40/10.66 tff('1039', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['889', '1038'])). 10.40/10.66 tff('1040', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1041', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['1039', '1040'])). 10.40/10.66 tff('1042', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1043', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1041', '1042'])). 10.40/10.66 tff('1044', plain, 10.40/10.66 (~ stable(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['888', '1043'])). 10.40/10.66 tff('1045', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1046', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1047', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['1044', '1045', '1046'])). 10.40/10.66 tff('1048', plain, 10.40/10.66 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['184', '185'])). 10.40/10.66 tff('1049', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1047', '1048'])). 10.40/10.66 tff('1050', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1051', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1049', '1050'])). 10.40/10.66 tff('1052', plain, 10.40/10.66 (~ stable(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['887', '1051'])). 10.40/10.66 tff('1053', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1054', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1055', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1052', '1053', '1054'])). 10.40/10.66 tff('1056', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.66 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['844', '845'])). 10.40/10.66 tff('1057', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1055', '1056'])). 10.40/10.66 tff('1058', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1057'])). 10.40/10.66 tff('1059', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1060', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1058', '1059'])). 10.40/10.66 tff('1061', plain, 10.40/10.66 (~ stable(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['886', '1060'])). 10.40/10.66 tff('1062', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1063', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1064', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1061', '1062', '1063'])). 10.40/10.66 tff('1065', plain, 10.40/10.66 ![X0]: 10.40/10.66 (~ environment(X0) 10.40/10.66 | ~ stable(X0) 10.40/10.66 | sk_T_1(X0) = equilibrium(X0) 10.40/10.66 | greater(sk_T_1(X0), equilibrium(X0))), 10.40/10.66 inference('sup-', [status(thm)], ['16', '17'])). 10.40/10.66 tff('1066', plain, 10.40/10.66 ![X19]: 10.40/10.66 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.66 inference('cnf', [status(esa)], [a4])). 10.40/10.66 tff('1067', plain, 10.40/10.66 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.66 sk_T(sk_T_1(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['2', '3', '4'])). 10.40/10.66 tff('1068', plain, 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['965', '966', '967'])). 10.40/10.66 tff('1069', plain, 10.40/10.66 ![X3]: 10.40/10.66 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.66 inference('cnf', [status(esa)], [l1])). 10.40/10.66 tff('1070', plain, 10.40/10.66 ![X19]: 10.40/10.66 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.66 inference('cnf', [status(esa)], [a4])). 10.40/10.66 tff('1071', plain, 10.40/10.66 ![X3]: 10.40/10.66 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.66 inference('cnf', [status(esa)], [l1])). 10.40/10.66 tff('1072', plain, 10.40/10.66 ![X19]: 10.40/10.66 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.66 inference('cnf', [status(esa)], [a4])). 10.40/10.66 tff('1073', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1061', '1062', '1063'])). 10.40/10.66 tff('1074', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['372', '373'])). 10.40/10.66 tff('1075', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1061', '1062', '1063'])). 10.40/10.66 tff('1076', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.66 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['127', '128'])). 10.40/10.66 tff('1077', plain, 10.40/10.66 (~ greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1075', '1076'])). 10.40/10.66 tff('1078', plain, 10.40/10.66 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1074', '1077'])). 10.40/10.66 tff('1079', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1078'])). 10.40/10.66 tff('1080', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('sup+', [status(thm)], ['1073', '1079'])). 10.40/10.66 tff('1081', plain, 10.40/10.66 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['1080'])). 10.40/10.66 tff('1082', plain, 10.40/10.66 (~ zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['172', '173'])). 10.40/10.66 tff('1083', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1081', '1082'])). 10.40/10.66 tff('1084', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1085', plain, 10.40/10.66 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1083', '1084'])). 10.40/10.66 tff('1086', plain, 10.40/10.66 (~ environment(sk_E) 10.40/10.66 | ~ stable(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1072', '1085'])). 10.40/10.66 tff('1087', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1088', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1089', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['1086', '1087', '1088'])). 10.40/10.66 tff('1090', plain, 10.40/10.66 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['184', '185'])). 10.40/10.66 tff('1091', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1089', '1090'])). 10.40/10.66 tff('1092', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1093', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1091', '1092'])). 10.40/10.66 tff('1094', plain, 10.40/10.66 (~ stable(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1071', '1093'])). 10.40/10.66 tff('1095', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1096', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1097', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['1094', '1095', '1096'])). 10.40/10.66 tff('1098', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['831', '832'])). 10.40/10.66 tff('1099', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1097', '1098'])). 10.40/10.66 tff('1100', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['1099'])). 10.40/10.66 tff('1101', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1102', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1100', '1101'])). 10.40/10.66 tff('1103', plain, 10.40/10.66 (~ environment(sk_E) 10.40/10.66 | ~ stable(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1070', '1102'])). 10.40/10.66 tff('1104', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1105', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1106', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['1103', '1104', '1105'])). 10.40/10.66 tff('1107', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.66 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['844', '845'])). 10.40/10.66 tff('1108', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1106', '1107'])). 10.40/10.66 tff('1109', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['1108'])). 10.40/10.66 tff('1110', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1111', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1109', '1110'])). 10.40/10.66 tff('1112', plain, 10.40/10.66 (~ stable(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1069', '1111'])). 10.40/10.66 tff('1113', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1114', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1115', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['1112', '1113', '1114'])). 10.40/10.66 tff('1116', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( greater_or_equal(sk_T_1(X0), sk_To(X0)) 10.40/10.66 | sk_To(X0) = sk_T_1(X0) 10.40/10.66 | ~ stable(X0) 10.40/10.66 | ~ environment(X0) 10.40/10.66 | greater_or_equal(sk_To(X0), sk_T_1(X0))), 10.40/10.66 inference('sup-', [status(thm)], ['305', '306'])). 10.40/10.66 tff('1117', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['1112', '1113', '1114'])). 10.40/10.66 tff('1118', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | ~ greater_or_equal(sk_T(sk_T_1(sk_E)), sk_To(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['71', '72', '73'])). 10.40/10.66 tff('1119', plain, 10.40/10.66 (~ greater_or_equal(sk_T_1(sk_E), sk_To(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.66 inference('sup-', [status(thm)], ['1117', '1118'])). 10.40/10.66 tff('1120', plain, 10.40/10.66 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | ~ stable(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1116', '1119'])). 10.40/10.66 tff('1121', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1122', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1123', plain, 10.40/10.66 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['1120', '1121', '1122'])). 10.40/10.66 tff('1124', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['1123'])). 10.40/10.66 tff('1125', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 (~ zip_tseitin_2(X0) 10.40/10.66 | greater(zero, X1) 10.40/10.66 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.66 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.66 tff('1126', plain, 10.40/10.66 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | ~ zip_tseitin_2(sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1124', '1125'])). 10.40/10.66 tff('1127', plain, 10.40/10.66 (~ zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1115', '1126'])). 10.40/10.66 tff('1128', plain, 10.40/10.66 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | ~ zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['1127'])). 10.40/10.66 tff('1129', plain, 10.40/10.66 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1068', '1128'])). 10.40/10.66 tff('1130', plain, 10.40/10.66 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1129'])). 10.40/10.66 tff('1131', plain, 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['965', '966', '967'])). 10.40/10.66 tff('1132', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_2])). 10.40/10.66 tff('1133', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['1112', '1113', '1114'])). 10.40/10.66 tff('1134', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['1123'])). 10.40/10.66 tff('1135', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('sup+', [status(thm)], ['1133', '1134'])). 10.40/10.66 tff('1136', plain, 10.40/10.66 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T_1(sk_E)))), 10.40/10.66 inference('simplify', [status(thm)], ['1135'])). 10.40/10.66 tff('1137', plain, 10.40/10.66 ![X13, X14, X15]: 10.40/10.66 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.66 tff('1138', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), X0) 10.40/10.66 | ~ greater(growth_rate(first_movers, sk_T_1(sk_E)), X0)), 10.40/10.66 inference('sup-', [status(thm)], ['1136', '1137'])). 10.40/10.66 tff('1139', plain, 10.40/10.66 (~ zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1132', '1138'])). 10.40/10.66 tff('1140', plain, 10.40/10.66 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1131', '1139'])). 10.40/10.66 tff('1141', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1140'])). 10.40/10.66 tff('1142', plain, 10.40/10.66 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.66 tff('1143', plain, 10.40/10.66 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | greater_or_equal( 10.40/10.66 growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1141', '1142'])). 10.40/10.66 tff('1144', plain, 10.40/10.66 ![X8, X9, X10, X11]: 10.40/10.66 (~ environment(X8) 10.40/10.66 | ~ subpopulations(X9, X10, X8, X11) 10.40/10.66 | outcompetes(X10, X9, X11) 10.40/10.66 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.40/10.66 | ~ greater(zero, growth_rate(X9, X11))), 10.40/10.66 inference('cnf', [status(esa)], [d2])). 10.40/10.66 tff('1145', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | ~ greater(zero, growth_rate(X0, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | outcompetes(efficient_producers, X0, sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ subpopulations(X0, efficient_producers, X1, sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ environment(X1)), 10.40/10.66 inference('sup-', [status(thm)], ['1143', '1144'])). 10.40/10.66 tff('1146', plain, 10.40/10.66 ![X0]: 10.40/10.66 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | ~ environment(X0) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, 10.40/10.66 sk_T(sk_T_1(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1130', '1145'])). 10.40/10.66 tff('1147', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, 10.40/10.66 sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ environment(X0) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1146'])). 10.40/10.66 tff('1148', plain, 10.40/10.66 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1067', '1147'])). 10.40/10.66 tff('1149', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1150', plain, 10.40/10.66 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['1148', '1149'])). 10.40/10.66 tff('1151', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1152', plain, 10.40/10.66 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1150', '1151'])). 10.40/10.66 tff('1153', plain, 10.40/10.66 (~ environment(sk_E) 10.40/10.66 | ~ stable(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1066', '1152'])). 10.40/10.66 tff('1154', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1155', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1156', plain, 10.40/10.66 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['1153', '1154', '1155'])). 10.40/10.66 tff('1157', plain, 10.40/10.66 ![X16, X18]: 10.40/10.66 ( greater(X16, X18) | X16 = X18 | ~ greater_or_equal(X16, X18)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.66 tff('1158', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | greater(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1156', '1157'])). 10.40/10.66 tff('1159', plain, 10.40/10.66 ( greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['1158'])). 10.40/10.66 tff('1160', plain, 10.40/10.66 ![X13, X14, X15]: 10.40/10.66 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.66 tff('1161', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | greater(sk_To(sk_E), X0) 10.40/10.66 | ~ greater(sk_T_1(sk_E), X0)), 10.40/10.66 inference('sup-', [status(thm)], ['1159', '1160'])). 10.40/10.66 tff('1162', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ stable(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1065', '1161'])). 10.40/10.66 tff('1163', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1164', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1165', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['1162', '1163', '1164'])). 10.40/10.66 tff('1166', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1165'])). 10.40/10.66 tff('1167', plain, 10.40/10.66 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.66 tff('1168', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1166', '1167'])). 10.40/10.66 tff('1169', plain, 10.40/10.66 (~ greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1075', '1076'])). 10.40/10.66 tff('1170', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1168', '1169'])). 10.40/10.66 tff('1171', plain, 10.40/10.66 ( zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['1170'])). 10.40/10.66 tff('1172', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup+', [status(thm)], ['1064', '1171'])). 10.40/10.66 tff('1173', plain, 10.40/10.66 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['1172'])). 10.40/10.66 tff('1174', plain, 10.40/10.66 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['184', '185'])). 10.40/10.66 tff('1175', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1173', '1174'])). 10.40/10.66 tff('1176', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1177', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1175', '1176'])). 10.40/10.66 tff('1178', plain, 10.40/10.66 (~ stable(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['885', '1177'])). 10.40/10.66 tff('1179', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1180', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1181', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['1178', '1179', '1180'])). 10.40/10.66 tff('1182', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.66 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['844', '845'])). 10.40/10.66 tff('1183', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1181', '1182'])). 10.40/10.66 tff('1184', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1183'])). 10.40/10.66 tff('1185', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1186', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1184', '1185'])). 10.40/10.66 tff('1187', plain, 10.40/10.66 (~ stable(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['884', '1186'])). 10.40/10.66 tff('1188', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1189', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1190', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1187', '1188', '1189'])). 10.40/10.66 tff('1191', plain, 10.40/10.66 ( subpopulations(first_movers, efficient_producers, sk_E, sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.66 inference('sup+', [status(thm)], ['881', '882'])). 10.40/10.66 tff('1192', plain, 10.40/10.66 ![X3, X4]: 10.40/10.66 (~ subpopulations(first_movers, efficient_producers, X3, X4) 10.40/10.66 | ~ greater_or_equal(X4, sk_To(X3)) 10.40/10.66 | greater(growth_rate(efficient_producers, X4), 10.40/10.66 growth_rate(first_movers, X4)) 10.40/10.66 | ~ environment(X3) 10.40/10.66 | ~ stable(X3)), 10.40/10.66 inference('cnf', [status(esa)], [l1])). 10.40/10.66 tff('1193', plain, 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ stable(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.40/10.66 growth_rate(first_movers, sk_To(sk_E))) 10.40/10.66 | ~ greater_or_equal(sk_To(sk_E), sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1191', '1192'])). 10.40/10.66 tff('1194', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1195', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1196', plain, ![X17]: greater_or_equal(X17, X17), 10.40/10.66 inference('simplify', [status(thm)], ['737'])). 10.40/10.66 tff('1197', plain, 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.40/10.66 growth_rate(first_movers, sk_To(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['1193', '1194', '1195', '1196'])). 10.40/10.66 tff('1198', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 (~ zip_tseitin_2(X0) 10.40/10.66 | greater(zero, X1) 10.40/10.66 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.66 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.66 tff('1199', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.40/10.66 | ~ zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1197', '1198'])). 10.40/10.66 tff('1200', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1190', '1199'])). 10.40/10.66 tff('1201', plain, 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1200'])). 10.40/10.66 tff('1202', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1187', '1188', '1189'])). 10.40/10.66 tff('1203', plain, 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['878', '879', '880'])). 10.40/10.66 tff('1204', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_2])). 10.40/10.66 tff('1205', plain, 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['878', '879', '880'])). 10.40/10.66 tff('1206', plain, 10.40/10.66 greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T(sk_To(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['133', '134', '135', '136'])). 10.40/10.66 tff('1207', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.40/10.66 growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.66 inference('sup+', [status(thm)], ['1205', '1206'])). 10.40/10.66 tff('1208', plain, 10.40/10.66 ![X13, X14, X15]: 10.40/10.66 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.66 tff('1209', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_To(sk_E)), X0) 10.40/10.66 | ~ greater(growth_rate(first_movers, sk_T(sk_To(sk_E))), X0)), 10.40/10.66 inference('sup-', [status(thm)], ['1207', '1208'])). 10.40/10.66 tff('1210', plain, 10.40/10.66 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1204', '1209'])). 10.40/10.66 tff('1211', plain, 10.40/10.66 (~ zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1203', '1210'])). 10.40/10.66 tff('1212', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['1211'])). 10.40/10.66 tff('1213', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1202', '1212'])). 10.40/10.66 tff('1214', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1213'])). 10.40/10.66 tff('1215', plain, 10.40/10.66 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.66 tff('1216', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | greater_or_equal(growth_rate(efficient_producers, sk_To(sk_E)), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1214', '1215'])). 10.40/10.66 tff('1217', plain, 10.40/10.66 ![X8, X9, X10, X11]: 10.40/10.66 (~ environment(X8) 10.40/10.66 | ~ subpopulations(X9, X10, X8, X11) 10.40/10.66 | outcompetes(X10, X9, X11) 10.40/10.66 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.40/10.66 | ~ greater(zero, growth_rate(X9, X11))), 10.40/10.66 inference('cnf', [status(esa)], [d2])). 10.40/10.66 tff('1218', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ greater(zero, growth_rate(X0, sk_To(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, X0, sk_To(sk_E)) 10.40/10.66 | ~ subpopulations(X0, efficient_producers, X1, sk_To(sk_E)) 10.40/10.66 | ~ environment(X1)), 10.40/10.66 inference('sup-', [status(thm)], ['1216', '1217'])). 10.40/10.66 tff('1219', plain, 10.40/10.66 ![X0]: 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | ~ environment(X0) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, sk_To(sk_E)) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1201', '1218'])). 10.40/10.66 tff('1220', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, sk_To(sk_E)) 10.40/10.66 | ~ environment(X0) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1219'])). 10.40/10.66 tff('1221', plain, 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['883', '1220'])). 10.40/10.66 tff('1222', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1223', plain, 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_To(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['1221', '1222'])). 10.40/10.66 tff('1224', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['1223'])). 10.40/10.66 tff('1225', plain, 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['878', '879', '880'])). 10.40/10.66 tff('1226', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1227', plain, 10.40/10.66 (~ outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1225', '1226'])). 10.40/10.66 tff('1228', plain, 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ in_environment(sk_E, sk_To(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1224', '1227'])). 10.40/10.66 tff('1229', plain, 10.40/10.66 (~ in_environment(sk_E, sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['1228'])). 10.40/10.66 tff('1230', plain, 10.40/10.66 (~ stable(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['21', '1229'])). 10.40/10.66 tff('1231', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1232', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1233', plain, 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1230', '1231', '1232'])). 10.40/10.66 tff('1234', plain, 10.40/10.66 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | ~ zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['981'])). 10.40/10.66 tff('1235', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1233', '1234'])). 10.40/10.66 tff('1236', plain, 10.40/10.66 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1235'])). 10.40/10.66 tff('1237', plain, 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1230', '1231', '1232'])). 10.40/10.66 tff('1238', plain, 10.40/10.66 (~ zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['986', '992'])). 10.40/10.66 tff('1239', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1237', '1238'])). 10.40/10.66 tff('1240', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1239'])). 10.40/10.66 tff('1241', plain, 10.40/10.66 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.66 tff('1242', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | greater_or_equal( 10.40/10.66 growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1240', '1241'])). 10.40/10.66 tff('1243', plain, 10.40/10.66 ![X8, X9, X10, X11]: 10.40/10.66 (~ environment(X8) 10.40/10.66 | ~ subpopulations(X9, X10, X8, X11) 10.40/10.66 | outcompetes(X10, X9, X11) 10.40/10.66 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.40/10.66 | ~ greater(zero, growth_rate(X9, X11))), 10.40/10.66 inference('cnf', [status(esa)], [d2])). 10.40/10.66 tff('1244', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ greater(zero, growth_rate(X0, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | outcompetes(efficient_producers, X0, sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ subpopulations(X0, efficient_producers, X1, sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ environment(X1)), 10.40/10.66 inference('sup-', [status(thm)], ['1242', '1243'])). 10.40/10.66 tff('1245', plain, 10.40/10.66 ![X0]: 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | ~ environment(X0) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, 10.40/10.66 sk_T(sk_T_1(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1236', '1244'])). 10.40/10.66 tff('1246', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, 10.40/10.66 sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ environment(X0) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1245'])). 10.40/10.66 tff('1247', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['20', '1246'])). 10.40/10.66 tff('1248', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1249', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['1247', '1248'])). 10.40/10.66 tff('1250', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1251', plain, 10.40/10.66 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1249', '1250'])). 10.40/10.66 tff('1252', plain, 10.40/10.66 (~ environment(sk_E) 10.40/10.66 | ~ stable(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['19', '1251'])). 10.40/10.66 tff('1253', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1254', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1255', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['1252', '1253', '1254'])). 10.40/10.66 tff('1256', plain, 10.40/10.66 ![X16, X18]: 10.40/10.66 ( greater(X16, X18) | X16 = X18 | ~ greater_or_equal(X16, X18)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.66 tff('1257', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | greater(sk_To(sk_E), sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1255', '1256'])). 10.40/10.66 tff('1258', plain, 10.40/10.66 ( greater(sk_To(sk_E), sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1257'])). 10.40/10.66 tff('1259', plain, 10.40/10.66 ![X0]: 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | greater(sk_T(sk_To(sk_E)), X0) 10.40/10.66 | ~ greater(sk_To(sk_E), X0)), 10.40/10.66 inference('sup-', [status(thm)], ['119', '120'])). 10.40/10.66 tff('1260', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(sk_T(sk_To(sk_E)), sk_T_1(sk_E)) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1258', '1259'])). 10.40/10.66 tff('1261', plain, 10.40/10.66 ( greater(sk_T(sk_To(sk_E)), sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1260'])). 10.40/10.66 tff('1262', plain, 10.40/10.66 ![X13, X14, X15]: 10.40/10.66 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.66 tff('1263', plain, 10.40/10.66 ![X0]: 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(sk_T(sk_To(sk_E)), X0) 10.40/10.66 | ~ greater(sk_T_1(sk_E), X0)), 10.40/10.66 inference('sup-', [status(thm)], ['1261', '1262'])). 10.40/10.66 tff('1264', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ stable(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['18', '1263'])). 10.40/10.66 tff('1265', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1266', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1267', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1264', '1265', '1266'])). 10.40/10.66 tff('1268', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1267'])). 10.40/10.66 tff('1269', plain, 10.40/10.66 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.66 tff('1270', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1268', '1269'])). 10.40/10.66 tff('1271', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.66 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['127', '128'])). 10.40/10.66 tff('1272', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1270', '1271'])). 10.40/10.66 tff('1273', plain, 10.40/10.66 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.40/10.66 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['137', '138'])). 10.40/10.66 tff('1274', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.40/10.66 inference('sup-', [status(thm)], ['1272', '1273'])). 10.40/10.66 tff('1275', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1270', '1271'])). 10.40/10.66 tff('1276', plain, 10.40/10.66 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['142', '145'])). 10.40/10.66 tff('1277', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1275', '1276'])). 10.40/10.66 tff('1278', plain, 10.40/10.66 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.66 tff('1279', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | greater_or_equal( 10.40/10.66 growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1277', '1278'])). 10.40/10.66 tff('1280', plain, 10.40/10.66 ![X8, X9, X10, X11]: 10.40/10.66 (~ environment(X8) 10.40/10.66 | ~ subpopulations(X9, X10, X8, X11) 10.40/10.66 | outcompetes(X10, X9, X11) 10.40/10.66 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.40/10.66 | ~ greater(zero, growth_rate(X9, X11))), 10.40/10.66 inference('cnf', [status(esa)], [d2])). 10.40/10.66 tff('1281', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | ~ greater(zero, growth_rate(X0, sk_T(sk_To(sk_E)))) 10.40/10.66 | outcompetes(efficient_producers, X0, sk_T(sk_To(sk_E))) 10.40/10.66 | ~ subpopulations(X0, efficient_producers, X1, sk_T(sk_To(sk_E))) 10.40/10.66 | ~ environment(X1)), 10.40/10.66 inference('sup-', [status(thm)], ['1279', '1280'])). 10.40/10.66 tff('1282', plain, 10.40/10.66 ![X0]: 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | ~ environment(X0) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, 10.40/10.66 sk_T(sk_To(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1274', '1281'])). 10.40/10.66 tff('1283', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, 10.40/10.66 sk_T(sk_To(sk_E))) 10.40/10.66 | ~ environment(X0) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1282'])). 10.40/10.66 tff('1284', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['15', '1283'])). 10.40/10.66 tff('1285', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1286', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['1284', '1285'])). 10.40/10.66 tff('1287', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1288', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1286', '1287'])). 10.40/10.66 tff('1289', plain, 10.40/10.66 (~ stable(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['9', '1288'])). 10.40/10.66 tff('1290', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1291', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1292', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['1289', '1290', '1291'])). 10.40/10.66 tff('1293', plain, 10.40/10.66 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['184', '185'])). 10.40/10.66 tff('1294', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1292', '1293'])). 10.40/10.66 tff('1295', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1296', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1294', '1295'])). 10.40/10.66 tff('1297', plain, 10.40/10.66 (~ stable(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['8', '1296'])). 10.40/10.66 tff('1298', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1299', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1300', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1297', '1298', '1299'])). 10.40/10.66 tff('1301', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.66 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['844', '845'])). 10.40/10.66 tff('1302', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1300', '1301'])). 10.40/10.66 tff('1303', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1302'])). 10.40/10.66 tff('1304', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1305', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1303', '1304'])). 10.40/10.66 tff('1306', plain, 10.40/10.66 (~ stable(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['7', '1305'])). 10.40/10.66 tff('1307', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1308', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1309', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1306', '1307', '1308'])). 10.40/10.66 tff('1310', plain, 10.40/10.66 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.66 sk_T(sk_To(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['12', '13', '14'])). 10.40/10.66 tff('1311', plain, 10.40/10.66 ( subpopulations(first_movers, efficient_producers, sk_E, sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1309', '1310'])). 10.40/10.66 tff('1312', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1187', '1188', '1189'])). 10.40/10.66 tff('1313', plain, 10.40/10.66 ( subpopulations(first_movers, efficient_producers, sk_E, sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1309', '1310'])). 10.40/10.66 tff('1314', plain, 10.40/10.66 ![X3, X4]: 10.40/10.66 (~ subpopulations(first_movers, efficient_producers, X3, X4) 10.40/10.66 | ~ greater_or_equal(X4, sk_To(X3)) 10.40/10.66 | greater(growth_rate(efficient_producers, X4), 10.40/10.66 growth_rate(first_movers, X4)) 10.40/10.66 | ~ environment(X3) 10.40/10.66 | ~ stable(X3)), 10.40/10.66 inference('cnf', [status(esa)], [l1])). 10.40/10.66 tff('1315', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | ~ stable(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.40/10.66 growth_rate(first_movers, sk_To(sk_E))) 10.40/10.66 | ~ greater_or_equal(sk_To(sk_E), sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1313', '1314'])). 10.40/10.66 tff('1316', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1317', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1318', plain, ![X17]: greater_or_equal(X17, X17), 10.40/10.66 inference('simplify', [status(thm)], ['737'])). 10.40/10.66 tff('1319', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.40/10.66 growth_rate(first_movers, sk_To(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['1315', '1316', '1317', '1318'])). 10.40/10.66 tff('1320', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 (~ zip_tseitin_2(X0) 10.40/10.66 | greater(zero, X1) 10.40/10.66 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.66 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.66 tff('1321', plain, 10.40/10.66 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.40/10.66 | ~ zip_tseitin_2(sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1319', '1320'])). 10.40/10.66 tff('1322', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1312', '1321'])). 10.40/10.66 tff('1323', plain, 10.40/10.66 ( greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1322'])). 10.40/10.66 tff('1324', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1306', '1307', '1308'])). 10.40/10.66 tff('1325', plain, 10.40/10.66 ( zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1187', '1188', '1189'])). 10.40/10.66 tff('1326', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1306', '1307', '1308'])). 10.40/10.66 tff('1327', plain, 10.40/10.66 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['142', '145'])). 10.40/10.66 tff('1328', plain, 10.40/10.66 (~ zip_tseitin_2(sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1326', '1327'])). 10.40/10.66 tff('1329', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1325', '1328'])). 10.40/10.66 tff('1330', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1329'])). 10.40/10.66 tff('1331', plain, 10.40/10.66 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.66 tff('1332', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | greater_or_equal( 10.40/10.66 growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1330', '1331'])). 10.40/10.66 tff('1333', plain, 10.40/10.66 ( greater_or_equal(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1324', '1332'])). 10.40/10.66 tff('1334', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | greater_or_equal(growth_rate(efficient_producers, sk_To(sk_E)), zero)), 10.40/10.66 inference('simplify', [status(thm)], ['1333'])). 10.40/10.66 tff('1335', plain, 10.40/10.66 ![X8, X9, X10, X11]: 10.40/10.66 (~ environment(X8) 10.40/10.66 | ~ subpopulations(X9, X10, X8, X11) 10.40/10.66 | outcompetes(X10, X9, X11) 10.40/10.66 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.40/10.66 | ~ greater(zero, growth_rate(X9, X11))), 10.40/10.66 inference('cnf', [status(esa)], [d2])). 10.40/10.66 tff('1336', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 (sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ greater(zero, growth_rate(X0, sk_To(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, X0, sk_To(sk_E)) 10.40/10.66 | ~ subpopulations(X0, efficient_producers, X1, sk_To(sk_E)) 10.40/10.66 | ~ environment(X1)), 10.40/10.66 inference('sup-', [status(thm)], ['1334', '1335'])). 10.40/10.66 tff('1337', plain, 10.40/10.66 ![X0]: 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | ~ environment(X0) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, sk_To(sk_E)) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1323', '1336'])). 10.40/10.66 tff('1338', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, sk_To(sk_E)) 10.40/10.66 | ~ environment(X0) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1337'])). 10.40/10.66 tff('1339', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1311', '1338'])). 10.40/10.66 tff('1340', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1341', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_To(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['1339', '1340'])). 10.40/10.66 tff('1342', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1341'])). 10.40/10.66 tff('1343', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1306', '1307', '1308'])). 10.40/10.66 tff('1344', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1345', plain, 10.40/10.66 (~ outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1343', '1344'])). 10.40/10.66 tff('1346', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | ~ in_environment(sk_E, sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1342', '1345'])). 10.40/10.66 tff('1347', plain, 10.40/10.66 (~ in_environment(sk_E, sk_To(sk_E)) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1346'])). 10.40/10.66 tff('1348', plain, 10.40/10.66 (~ stable(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['6', '1347'])). 10.40/10.66 tff('1349', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1350', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1351', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1348', '1349', '1350'])). 10.40/10.66 tff('1352', plain, 10.40/10.66 ![X19]: 10.40/10.66 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.66 inference('cnf', [status(esa)], [a4])). 10.40/10.66 tff('1353', plain, 10.40/10.66 ![X19]: 10.40/10.66 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.66 inference('cnf', [status(esa)], [a4])). 10.40/10.66 tff('1354', plain, 10.40/10.66 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.66 sk_T(sk_T_1(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['2', '3', '4'])). 10.40/10.66 tff('1355', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['49', '54'])). 10.40/10.66 tff('1356', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1348', '1349', '1350'])). 10.40/10.66 tff('1357', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | ~ greater_or_equal(sk_T(sk_T_1(sk_E)), sk_To(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['71', '72', '73'])). 10.40/10.66 tff('1358', plain, 10.40/10.66 (~ greater_or_equal(sk_T(sk_To(sk_E)), sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.66 inference('sup-', [status(thm)], ['1356', '1357'])). 10.40/10.66 tff('1359', plain, greater_or_equal(sk_T(sk_To(sk_E)), sk_To(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['114', '115', '116'])). 10.40/10.66 tff('1360', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.66 inference('demod', [status(thm)], ['1358', '1359'])). 10.40/10.66 tff('1361', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 (~ zip_tseitin_2(X0) 10.40/10.66 | greater(zero, X1) 10.40/10.66 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.66 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.66 tff('1362', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | ~ zip_tseitin_2(sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1360', '1361'])). 10.40/10.66 tff('1363', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1355', '1362'])). 10.40/10.66 tff('1364', plain, 10.40/10.66 ( greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('simplify', [status(thm)], ['1363'])). 10.40/10.66 tff('1365', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['49', '54'])). 10.40/10.66 tff('1366', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_2])). 10.40/10.66 tff('1367', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.66 inference('demod', [status(thm)], ['1358', '1359'])). 10.40/10.66 tff('1368', plain, 10.40/10.66 ![X13, X14, X15]: 10.40/10.66 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.66 tff('1369', plain, 10.40/10.66 ![X0]: 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), X0) 10.40/10.66 | ~ greater(growth_rate(first_movers, sk_T(sk_T_1(sk_E))), X0)), 10.40/10.66 inference('sup-', [status(thm)], ['1367', '1368'])). 10.40/10.66 tff('1370', plain, 10.40/10.66 (~ zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1366', '1369'])). 10.40/10.66 tff('1371', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1365', '1370'])). 10.40/10.66 tff('1372', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('simplify', [status(thm)], ['1371'])). 10.40/10.66 tff('1373', plain, 10.40/10.66 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.66 tff('1374', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater_or_equal( 10.40/10.66 growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1372', '1373'])). 10.40/10.66 tff('1375', plain, 10.40/10.66 ![X8, X9, X10, X11]: 10.40/10.66 (~ environment(X8) 10.40/10.66 | ~ subpopulations(X9, X10, X8, X11) 10.40/10.66 | outcompetes(X10, X9, X11) 10.40/10.66 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.40/10.66 | ~ greater(zero, growth_rate(X9, X11))), 10.40/10.66 inference('cnf', [status(esa)], [d2])). 10.40/10.66 tff('1376', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ greater(zero, growth_rate(X0, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | outcompetes(efficient_producers, X0, sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ subpopulations(X0, efficient_producers, X1, sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ environment(X1)), 10.40/10.66 inference('sup-', [status(thm)], ['1374', '1375'])). 10.40/10.66 tff('1377', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ environment(X0) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, 10.40/10.66 sk_T(sk_T_1(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1364', '1376'])). 10.40/10.66 tff('1378', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, 10.40/10.66 sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ environment(X0) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('simplify', [status(thm)], ['1377'])). 10.40/10.66 tff('1379', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1354', '1378'])). 10.40/10.66 tff('1380', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1381', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['1379', '1380'])). 10.40/10.66 tff('1382', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1383', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1381', '1382'])). 10.40/10.66 tff('1384', plain, 10.40/10.66 (~ environment(sk_E) 10.40/10.66 | ~ stable(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1353', '1383'])). 10.40/10.66 tff('1385', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1386', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1387', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1384', '1385', '1386'])). 10.40/10.66 tff('1388', plain, 10.40/10.66 (~ zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['172', '173'])). 10.40/10.66 tff('1389', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1387', '1388'])). 10.40/10.66 tff('1390', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1391', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1389', '1390'])). 10.40/10.66 tff('1392', plain, 10.40/10.66 (~ environment(sk_E) 10.40/10.66 | ~ stable(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1352', '1391'])). 10.40/10.66 tff('1393', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1394', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1395', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['1392', '1393', '1394'])). 10.40/10.66 tff('1396', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1351', '1395'])). 10.40/10.66 tff('1397', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('simplify', [status(thm)], ['1396'])). 10.40/10.66 tff('1398', plain, 10.40/10.66 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.66 sk_T(sk_To(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['12', '13', '14'])). 10.40/10.66 tff('1399', plain, 10.40/10.66 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.66 tff('1400', plain, 10.40/10.66 ![X19]: 10.40/10.66 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.66 inference('cnf', [status(esa)], [a4])). 10.40/10.66 tff('1401', plain, 10.40/10.66 ![X19]: 10.40/10.66 ( greater_or_equal(sk_T_1(X19), equilibrium(X19)) 10.40/10.66 | ~ stable(X19) 10.40/10.66 | ~ environment(X19)), 10.40/10.66 inference('cnf', [status(esa)], [a4])). 10.40/10.66 tff('1402', plain, 10.40/10.66 ![X19]: 10.40/10.66 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.66 inference('cnf', [status(esa)], [a4])). 10.40/10.66 tff('1403', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['49', '54'])). 10.40/10.66 tff('1404', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('simplify', [status(thm)], ['1371'])). 10.40/10.66 tff('1405', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 (~ zip_tseitin_2(X0) 10.40/10.66 | greater(zero, X1) 10.40/10.66 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.66 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.66 tff('1406', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | ~ zip_tseitin_2(sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1404', '1405'])). 10.40/10.66 tff('1407', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1403', '1406'])). 10.40/10.66 tff('1408', plain, 10.40/10.66 ( greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('simplify', [status(thm)], ['1407'])). 10.40/10.66 tff('1409', plain, 10.40/10.66 (~ zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['172', '173'])). 10.40/10.66 tff('1410', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1408', '1409'])). 10.40/10.66 tff('1411', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1412', plain, 10.40/10.66 ( greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1410', '1411'])). 10.40/10.66 tff('1413', plain, 10.40/10.66 (~ environment(sk_E) 10.40/10.66 | ~ stable(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1402', '1412'])). 10.40/10.66 tff('1414', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1415', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1416', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero)), 10.40/10.66 inference('demod', [status(thm)], ['1413', '1414', '1415'])). 10.40/10.66 tff('1417', plain, 10.40/10.66 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.66 tff('1418', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero)), 10.40/10.66 inference('demod', [status(thm)], ['1413', '1414', '1415'])). 10.40/10.66 tff('1419', plain, 10.40/10.66 ![X0]: 10.40/10.66 (growth_rate(efficient_producers, X0) = zero | ~ zip_tseitin_0(X0)), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.66 tff('1420', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.66 inference('demod', [status(thm)], ['1358', '1359'])). 10.40/10.66 tff('1421', plain, 10.40/10.66 ( greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1419', '1420'])). 10.40/10.66 tff('1422', plain, 10.40/10.66 ( greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.66 inference('sup-', [status(thm)], ['1418', '1421'])). 10.40/10.66 tff('1423', plain, 10.40/10.66 ( greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero)), 10.40/10.66 inference('simplify', [status(thm)], ['1422'])). 10.40/10.66 tff('1424', plain, 10.40/10.66 ( greater(zero, zero) 10.40/10.66 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1417', '1423'])). 10.40/10.66 tff('1425', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | greater(zero, zero)), 10.40/10.66 inference('simplify', [status(thm)], ['1424'])). 10.40/10.66 tff('1426', plain, 10.40/10.66 ( greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1416', '1425'])). 10.40/10.66 tff('1427', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero)), 10.40/10.66 inference('simplify', [status(thm)], ['1426'])). 10.40/10.66 tff('1428', plain, 10.40/10.66 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.66 sk_T(sk_T_1(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['2', '3', '4'])). 10.40/10.66 tff('1429', plain, 10.40/10.66 ( subpopulations(first_movers, efficient_producers, sk_E, sk_T_1(sk_E)) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1427', '1428'])). 10.40/10.66 tff('1430', plain, 10.40/10.66 ![X1, X2]: 10.40/10.66 (~ environment(X1) 10.40/10.66 | ~ greater_or_equal(X2, equilibrium(X1)) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X1, X2) 10.40/10.66 | zip_tseitin_2(X2) 10.40/10.66 | zip_tseitin_1(X2) 10.40/10.66 | zip_tseitin_0(X2)), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_7])). 10.40/10.66 tff('1431', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_1(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | ~ greater_or_equal(sk_T_1(sk_E), equilibrium(sk_E)) 10.40/10.66 | ~ environment(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1429', '1430'])). 10.40/10.66 tff('1432', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1433', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_1(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | ~ greater_or_equal(sk_T_1(sk_E), equilibrium(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['1431', '1432'])). 10.40/10.66 tff('1434', plain, 10.40/10.66 (~ environment(sk_E) 10.40/10.66 | ~ stable(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_1(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1401', '1433'])). 10.40/10.66 tff('1435', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1436', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1437', plain, 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_1(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1434', '1435', '1436'])). 10.40/10.66 tff('1438', plain, 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_1(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1434', '1435', '1436'])). 10.40/10.66 tff('1439', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero)), 10.40/10.66 inference('simplify', [status(thm)], ['1426'])). 10.40/10.66 tff('1440', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_2])). 10.40/10.66 tff('1441', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero)), 10.40/10.66 inference('simplify', [status(thm)], ['1426'])). 10.40/10.66 tff('1442', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.66 inference('demod', [status(thm)], ['1358', '1359'])). 10.40/10.66 tff('1443', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_T_1(sk_E)), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1441', '1442'])). 10.40/10.66 tff('1444', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.66 inference('simplify', [status(thm)], ['1443'])). 10.40/10.66 tff('1445', plain, 10.40/10.66 ![X13, X14, X15]: 10.40/10.66 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.66 tff('1446', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), X0) 10.40/10.66 | ~ greater(growth_rate(first_movers, sk_T(sk_T_1(sk_E))), X0)), 10.40/10.66 inference('sup-', [status(thm)], ['1444', '1445'])). 10.40/10.66 tff('1447', plain, 10.40/10.66 (~ zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1440', '1446'])). 10.40/10.66 tff('1448', plain, 10.40/10.66 (~ zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1439', '1447'])). 10.40/10.66 tff('1449', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_T_1(sk_E)), zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | ~ zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['1448'])). 10.40/10.66 tff('1450', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_1(sk_T_1(sk_E)) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1438', '1449'])). 10.40/10.66 tff('1451', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_T_1(sk_E)), zero) 10.40/10.66 | zip_tseitin_1(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1450'])). 10.40/10.66 tff('1452', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 (~ zip_tseitin_2(X0) 10.40/10.66 | greater(zero, X1) 10.40/10.66 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.66 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.66 tff('1453', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_1(sk_T_1(sk_E)) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | ~ zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1451', '1452'])). 10.40/10.66 tff('1454', plain, 10.40/10.66 (~ zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_1(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1453'])). 10.40/10.66 tff('1455', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_1(sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_1(sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1437', '1454'])). 10.40/10.66 tff('1456', plain, 10.40/10.66 ( zip_tseitin_1(sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1455'])). 10.40/10.66 tff('1457', plain, 10.40/10.66 ( subpopulations(first_movers, efficient_producers, sk_E, sk_T_1(sk_E)) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1427', '1428'])). 10.40/10.66 tff('1458', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 ( outcompetes(efficient_producers, first_movers, X0) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X1, X0) 10.40/10.66 | ~ environment(X1) 10.40/10.66 | ~ zip_tseitin_1(X0)), 10.40/10.66 inference('simplify', [status(thm)], ['170'])). 10.40/10.66 tff('1459', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | ~ zip_tseitin_1(sk_T_1(sk_E)) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1457', '1458'])). 10.40/10.66 tff('1460', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1461', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | ~ zip_tseitin_1(sk_T_1(sk_E)) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T_1(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['1459', '1460'])). 10.40/10.66 tff('1462', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T_1(sk_E)) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1456', '1461'])). 10.40/10.66 tff('1463', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1462'])). 10.40/10.66 tff('1464', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero)), 10.40/10.66 inference('simplify', [status(thm)], ['1426'])). 10.40/10.66 tff('1465', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1466', plain, 10.40/10.66 (~ outcompetes(efficient_producers, first_movers, sk_T_1(sk_E)) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1464', '1465'])). 10.40/10.66 tff('1467', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | ~ in_environment(sk_E, sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1463', '1466'])). 10.40/10.66 tff('1468', plain, 10.40/10.66 (~ in_environment(sk_E, sk_T_1(sk_E)) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1467'])). 10.40/10.66 tff('1469', plain, 10.40/10.66 (~ environment(sk_E) 10.40/10.66 | ~ stable(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1400', '1468'])). 10.40/10.66 tff('1470', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1471', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1472', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['1469', '1470', '1471'])). 10.40/10.66 tff('1473', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero)), 10.40/10.66 inference('simplify', [status(thm)], ['1426'])). 10.40/10.66 tff('1474', plain, 10.40/10.66 ![X0]: 10.40/10.66 (growth_rate(efficient_producers, X0) = zero | ~ zip_tseitin_0(X0)), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_6])). 10.40/10.66 tff('1475', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero)), 10.40/10.66 inference('simplify', [status(thm)], ['1426'])). 10.40/10.66 tff('1476', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.66 inference('demod', [status(thm)], ['1358', '1359'])). 10.40/10.66 tff('1477', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1475', '1476'])). 10.40/10.66 tff('1478', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T_1(sk_E)))), 10.40/10.66 inference('simplify', [status(thm)], ['1477'])). 10.40/10.66 tff('1479', plain, 10.40/10.66 ( greater(zero, growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.66 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1474', '1478'])). 10.40/10.66 tff('1480', plain, 10.40/10.66 (~ zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1473', '1479'])). 10.40/10.66 tff('1481', plain, 10.40/10.66 ( greater(zero, growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | ~ zip_tseitin_0(sk_T_1(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['1480'])). 10.40/10.66 tff('1482', plain, 10.40/10.66 ( greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1472', '1481'])). 10.40/10.66 tff('1483', plain, 10.40/10.66 ( greater(zero, growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero)), 10.40/10.66 inference('simplify', [status(thm)], ['1482'])). 10.40/10.66 tff('1484', plain, 10.40/10.66 ( greater(zero, zero) 10.40/10.66 | ~ zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1399', '1483'])). 10.40/10.66 tff('1485', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ zip_tseitin_0(sk_T_1(sk_E)) 10.40/10.66 | greater(zero, zero)), 10.40/10.66 inference('simplify', [status(thm)], ['1484'])). 10.40/10.66 tff('1486', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, zero) 10.40/10.66 | zip_tseitin_0(sk_T_1(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['1469', '1470', '1471'])). 10.40/10.66 tff('1487', plain, ( greater(zero, zero) | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('clc', [status(thm)], ['1485', '1486'])). 10.40/10.66 tff('1488', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 ( outcompetes(efficient_producers, first_movers, X0) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X1, X0) 10.40/10.66 | ~ environment(X1) 10.40/10.66 | ~ zip_tseitin_0(X0) 10.40/10.66 | ~ greater(zero, zero)), 10.40/10.66 inference('simplify', [status(thm)], ['828'])). 10.40/10.66 tff('1489', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ zip_tseitin_0(X0) 10.40/10.66 | ~ environment(X1) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X1, X0) 10.40/10.66 | outcompetes(efficient_producers, first_movers, X0)), 10.40/10.66 inference('sup-', [status(thm)], ['1487', '1488'])). 10.40/10.66 tff('1490', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1398', '1489'])). 10.40/10.66 tff('1491', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1492', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.66 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1490', '1491'])). 10.40/10.66 tff('1493', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1397', '1492'])). 10.40/10.66 tff('1494', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1493'])). 10.40/10.66 tff('1495', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1496', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1494', '1495'])). 10.40/10.66 tff('1497', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1348', '1349', '1350'])). 10.40/10.66 tff('1498', plain, 10.40/10.66 ![X19]: 10.40/10.66 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.66 inference('cnf', [status(esa)], [a4])). 10.40/10.66 tff('1499', plain, 10.40/10.66 ( in_environment(sk_E, sk_To(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | ~ stable(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1497', '1498'])). 10.40/10.66 tff('1500', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1501', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1502', plain, 10.40/10.66 ( in_environment(sk_E, sk_To(sk_E)) | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1499', '1500', '1501'])). 10.40/10.66 tff('1503', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('clc', [status(thm)], ['1496', '1502'])). 10.40/10.66 tff('1504', plain, 10.40/10.66 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.66 sk_T(sk_T_1(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['2', '3', '4'])). 10.40/10.66 tff('1505', plain, 10.40/10.66 ( subpopulations(first_movers, efficient_producers, sk_E, sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1503', '1504'])). 10.40/10.66 tff('1506', plain, 10.40/10.66 ![X19]: 10.40/10.66 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.40/10.66 inference('cnf', [status(esa)], [a4])). 10.40/10.66 tff('1507', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('clc', [status(thm)], ['1496', '1502'])). 10.40/10.66 tff('1508', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('clc', [status(thm)], ['1496', '1502'])). 10.40/10.66 tff('1509', plain, 10.40/10.66 ![X19]: 10.40/10.66 ( greater_or_equal(sk_T_1(X19), equilibrium(X19)) 10.40/10.66 | ~ stable(X19) 10.40/10.66 | ~ environment(X19)), 10.40/10.66 inference('cnf', [status(esa)], [a4])). 10.40/10.66 tff('1510', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('clc', [status(thm)], ['1496', '1502'])). 10.40/10.66 tff('1511', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ greater_or_equal(sk_T(sk_T_1(sk_E)), equilibrium(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['52', '53'])). 10.40/10.66 tff('1512', plain, 10.40/10.66 (~ greater_or_equal(sk_T_1(sk_E), equilibrium(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1510', '1511'])). 10.40/10.66 tff('1513', plain, 10.40/10.66 (~ environment(sk_E) 10.40/10.66 | ~ stable(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1509', '1512'])). 10.40/10.66 tff('1514', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1515', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1516', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1513', '1514', '1515'])). 10.40/10.66 tff('1517', plain, 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup+', [status(thm)], ['1508', '1516'])). 10.40/10.66 tff('1518', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['1517'])). 10.40/10.66 tff('1519', plain, 10.40/10.66 ( zip_tseitin_1(sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_0(sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup+', [status(thm)], ['1507', '1518'])). 10.40/10.66 tff('1520', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T_1(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['1519'])). 10.40/10.66 tff('1521', plain, 10.40/10.66 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.66 sk_T(sk_T_1(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['2', '3', '4'])). 10.40/10.66 tff('1522', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ zip_tseitin_0(X0) 10.40/10.66 | ~ environment(X1) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X1, X0) 10.40/10.66 | outcompetes(efficient_producers, first_movers, X0)), 10.40/10.66 inference('sup-', [status(thm)], ['1487', '1488'])). 10.40/10.66 tff('1523', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1521', '1522'])). 10.40/10.66 tff('1524', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1525', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1523', '1524'])). 10.40/10.66 tff('1526', plain, 10.40/10.66 ( zip_tseitin_1(sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['1520', '1525'])). 10.40/10.66 tff('1527', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T_1(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['1526'])). 10.40/10.66 tff('1528', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1529', plain, 10.40/10.66 ( zip_tseitin_1(sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | ~ in_environment(sk_E, sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1527', '1528'])). 10.40/10.66 tff('1530', plain, 10.40/10.66 (~ environment(sk_E) 10.40/10.66 | ~ stable(sk_E) 10.40/10.66 | zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1506', '1529'])). 10.40/10.66 tff('1531', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1532', plain, stable(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1533', plain, 10.40/10.66 ( zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | zip_tseitin_1(sk_T_1(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['1530', '1531', '1532'])). 10.40/10.66 tff('1534', plain, 10.40/10.66 ( subpopulations(first_movers, efficient_producers, sk_E, sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1503', '1504'])). 10.40/10.66 tff('1535', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 ( outcompetes(efficient_producers, first_movers, X0) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X1, X0) 10.40/10.66 | ~ environment(X1) 10.40/10.66 | ~ zip_tseitin_1(X0)), 10.40/10.66 inference('simplify', [status(thm)], ['170'])). 10.40/10.66 tff('1536', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ zip_tseitin_1(sk_T_1(sk_E)) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1534', '1535'])). 10.40/10.66 tff('1537', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1538', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ zip_tseitin_1(sk_T_1(sk_E)) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T_1(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['1536', '1537'])). 10.40/10.66 tff('1539', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) | sk_To(sk_E) = sk_T_1(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1348', '1349', '1350'])). 10.40/10.66 tff('1540', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('clc', [status(thm)], ['1496', '1502'])). 10.40/10.66 tff('1541', plain, 10.40/10.66 (sk_T(sk_To(sk_E)) = sk_T_1(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1539', '1540'])). 10.40/10.66 tff('1542', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) | sk_T(sk_To(sk_E)) = sk_T_1(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1541'])). 10.40/10.66 tff('1543', plain, 10.40/10.66 ![X12]: 10.40/10.66 (~ in_environment(sk_E, X12) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1544', plain, 10.40/10.66 (~ outcompetes(efficient_producers, first_movers, sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ in_environment(sk_E, sk_To(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1542', '1543'])). 10.40/10.66 tff('1545', plain, 10.40/10.66 ( in_environment(sk_E, sk_To(sk_E)) | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1499', '1500', '1501'])). 10.40/10.66 tff('1546', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T_1(sk_E))), 10.40/10.66 inference('clc', [status(thm)], ['1544', '1545'])). 10.40/10.66 tff('1547', plain, 10.40/10.66 (~ zip_tseitin_1(sk_T_1(sk_E)) | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('clc', [status(thm)], ['1538', '1546'])). 10.40/10.66 tff('1548', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) | zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.66 inference('clc', [status(thm)], ['1533', '1547'])). 10.40/10.66 tff('1549', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('clc', [status(thm)], ['1496', '1502'])). 10.40/10.66 tff('1550', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('clc', [status(thm)], ['1496', '1502'])). 10.40/10.66 tff('1551', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.66 inference('demod', [status(thm)], ['1358', '1359'])). 10.40/10.66 tff('1552', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1550', '1551'])). 10.40/10.66 tff('1553', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T_1(sk_E)))), 10.40/10.66 inference('simplify', [status(thm)], ['1552'])). 10.40/10.66 tff('1554', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_T_1(sk_E)), 10.40/10.66 growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1549', '1553'])). 10.40/10.66 tff('1555', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), 10.40/10.66 growth_rate(first_movers, sk_T_1(sk_E)))), 10.40/10.66 inference('simplify', [status(thm)], ['1554'])). 10.40/10.66 tff('1556', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 (~ zip_tseitin_2(X0) 10.40/10.66 | greater(zero, X1) 10.40/10.66 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.40/10.66 inference('sup-', [status(thm)], ['76', '77'])). 10.40/10.66 tff('1557', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.66 | ~ zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1555', '1556'])). 10.40/10.66 tff('1558', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(zero, growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1548', '1557'])). 10.40/10.66 tff('1559', plain, 10.40/10.66 ( greater(zero, growth_rate(first_movers, sk_T_1(sk_E))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1558'])). 10.40/10.66 tff('1560', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) | zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.66 inference('clc', [status(thm)], ['1533', '1547'])). 10.40/10.66 tff('1561', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('clc', [status(thm)], ['1496', '1502'])). 10.40/10.66 tff('1562', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_2])). 10.40/10.66 tff('1563', plain, 10.40/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('clc', [status(thm)], ['1496', '1502'])). 10.40/10.66 tff('1564', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.66 inference('demod', [status(thm)], ['1358', '1359'])). 10.40/10.66 tff('1565', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_T_1(sk_E)), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup+', [status(thm)], ['1563', '1564'])). 10.40/10.66 tff('1566', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), 10.40/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.40/10.66 inference('simplify', [status(thm)], ['1565'])). 10.40/10.66 tff('1567', plain, 10.40/10.66 ![X13, X14, X15]: 10.40/10.66 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.40/10.66 tff('1568', plain, 10.40/10.66 ![X0]: 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), X0) 10.40/10.66 | ~ greater(growth_rate(first_movers, sk_T(sk_T_1(sk_E))), X0)), 10.40/10.66 inference('sup-', [status(thm)], ['1566', '1567'])). 10.40/10.66 tff('1569', plain, 10.40/10.66 (~ zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1562', '1568'])). 10.40/10.66 tff('1570', plain, 10.40/10.66 (~ zip_tseitin_2(sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1561', '1569'])). 10.40/10.66 tff('1571', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_T_1(sk_E)), zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ zip_tseitin_2(sk_T_1(sk_E))), 10.40/10.66 inference('simplify', [status(thm)], ['1570'])). 10.40/10.66 tff('1572', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater(growth_rate(efficient_producers, sk_T_1(sk_E)), zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1560', '1571'])). 10.40/10.66 tff('1573', plain, 10.40/10.66 ( greater(growth_rate(efficient_producers, sk_T_1(sk_E)), zero) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1572'])). 10.40/10.66 tff('1574', plain, 10.40/10.66 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.40/10.66 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.40/10.66 tff('1575', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | greater_or_equal(growth_rate(efficient_producers, sk_T_1(sk_E)), 10.40/10.66 zero)), 10.40/10.66 inference('sup-', [status(thm)], ['1573', '1574'])). 10.40/10.66 tff('1576', plain, 10.40/10.66 ![X8, X9, X10, X11]: 10.40/10.66 (~ environment(X8) 10.40/10.66 | ~ subpopulations(X9, X10, X8, X11) 10.40/10.66 | outcompetes(X10, X9, X11) 10.40/10.66 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.40/10.66 | ~ greater(zero, growth_rate(X9, X11))), 10.40/10.66 inference('cnf', [status(esa)], [d2])). 10.40/10.66 tff('1577', plain, 10.40/10.66 ![X0, X1]: 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ greater(zero, growth_rate(X0, sk_T_1(sk_E))) 10.40/10.66 | outcompetes(efficient_producers, X0, sk_T_1(sk_E)) 10.40/10.66 | ~ subpopulations(X0, efficient_producers, X1, sk_T_1(sk_E)) 10.40/10.66 | ~ environment(X1)), 10.40/10.66 inference('sup-', [status(thm)], ['1575', '1576'])). 10.40/10.66 tff('1578', plain, 10.40/10.66 ![X0]: 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ environment(X0) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, 10.40/10.66 sk_T_1(sk_E)) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('sup-', [status(thm)], ['1559', '1577'])). 10.40/10.66 tff('1579', plain, 10.40/10.66 ![X0]: 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T_1(sk_E)) 10.40/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, 10.40/10.66 sk_T_1(sk_E)) 10.40/10.66 | ~ environment(X0) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1578'])). 10.40/10.66 tff('1580', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ environment(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T_1(sk_E))), 10.40/10.66 inference('sup-', [status(thm)], ['1505', '1579'])). 10.40/10.66 tff('1581', plain, environment(sk_E), 10.40/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.40/10.66 tff('1582', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | outcompetes(efficient_producers, first_movers, sk_T_1(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['1580', '1581'])). 10.40/10.66 tff('1583', plain, 10.40/10.66 ( outcompetes(efficient_producers, first_movers, sk_T_1(sk_E)) 10.40/10.66 | sk_T_1(sk_E) = equilibrium(sk_E)), 10.40/10.66 inference('simplify', [status(thm)], ['1582'])). 10.40/10.66 tff('1584', plain, 10.40/10.66 (sk_T_1(sk_E) = equilibrium(sk_E) 10.40/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T_1(sk_E))), 10.40/10.66 inference('clc', [status(thm)], ['1544', '1545'])). 10.40/10.66 tff('1585', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.40/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.40/10.66 tff('1586', plain, 10.40/10.66 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.66 sk_T(equilibrium(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['5', '1585'])). 10.40/10.66 tff('1587', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.40/10.66 | zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.40/10.66 | ~ greater_or_equal(sk_T(sk_T_1(sk_E)), equilibrium(sk_E))), 10.40/10.66 inference('demod', [status(thm)], ['52', '53'])). 10.40/10.66 tff('1588', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.40/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.40/10.66 tff('1589', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.40/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.40/10.66 tff('1590', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.40/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.40/10.66 tff('1591', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.40/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.40/10.66 tff('1592', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.40/10.66 | zip_tseitin_2(sk_T(equilibrium(sk_E))) 10.40/10.66 | ~ greater_or_equal(sk_T(equilibrium(sk_E)), equilibrium(sk_E))), 10.40/10.66 inference('demod', [status(thm)], 10.40/10.66 ['1587', '1588', '1589', '1590', '1591'])). 10.40/10.66 tff('1593', plain, greater_or_equal(sk_T(sk_T_1(sk_E)), sk_T_1(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['36', '37', '38'])). 10.40/10.66 tff('1594', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.40/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.40/10.66 tff('1595', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.40/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.40/10.66 tff('1596', plain, 10.40/10.66 greater_or_equal(sk_T(equilibrium(sk_E)), equilibrium(sk_E)), 10.40/10.66 inference('demod', [status(thm)], ['1593', '1594', '1595'])). 10.40/10.66 tff('1597', plain, 10.40/10.66 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.40/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.40/10.66 | zip_tseitin_2(sk_T(equilibrium(sk_E)))), 10.40/10.66 inference('demod', [status(thm)], ['1592', '1596'])). 10.40/10.66 tff('1598', plain, 10.40/10.66 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.40/10.66 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.40/10.66 inference('sup-', [status(thm)], ['137', '138'])). 10.40/10.66 tff('1599', plain, 10.40/10.66 ![X3]: 10.40/10.66 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.66 inference('cnf', [status(esa)], [l1])). 10.40/10.66 tff('1600', plain, 10.40/10.66 ![X3]: 10.40/10.66 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.66 inference('cnf', [status(esa)], [l1])). 10.40/10.66 tff('1601', plain, 10.40/10.66 ![X3]: 10.40/10.66 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.66 inference('cnf', [status(esa)], [l1])). 10.40/10.66 tff('1602', plain, 10.40/10.66 ![X3]: 10.40/10.66 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.40/10.66 inference('cnf', [status(esa)], [l1])). 10.40/10.66 tff('1603', plain, 10.40/10.66 subpopulations(first_movers, efficient_producers, sk_E, 10.40/10.66 sk_T(sk_To(sk_E))), 10.46/10.66 inference('demod', [status(thm)], ['12', '13', '14'])). 10.46/10.66 tff('1604', plain, 10.46/10.66 ![X3]: 10.46/10.66 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.66 inference('cnf', [status(esa)], [l1])). 10.46/10.66 tff('1605', plain, 10.46/10.66 ![X3]: 10.46/10.66 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.66 inference('cnf', [status(esa)], [l1])). 10.46/10.66 tff('1606', plain, 10.46/10.66 ![X3]: 10.46/10.66 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.66 inference('cnf', [status(esa)], [l1])). 10.46/10.66 tff('1607', plain, 10.46/10.66 ![X3]: 10.46/10.66 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.66 inference('cnf', [status(esa)], [l1])). 10.46/10.66 tff('1608', plain, 10.46/10.66 subpopulations(first_movers, efficient_producers, sk_E, 10.46/10.66 sk_T(sk_To(sk_E))), 10.46/10.66 inference('demod', [status(thm)], ['12', '13', '14'])). 10.46/10.66 tff('1609', plain, 10.46/10.66 subpopulations(first_movers, efficient_producers, sk_E, 10.46/10.66 sk_T(equilibrium(sk_E))), 10.46/10.66 inference('demod', [status(thm)], ['5', '1585'])). 10.46/10.66 tff('1610', plain, 10.46/10.66 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_2(sk_T(equilibrium(sk_E)))), 10.46/10.66 inference('demod', [status(thm)], ['1592', '1596'])). 10.46/10.66 tff('1611', plain, 10.46/10.66 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.46/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.46/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.46/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.46/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.46/10.66 inference('sup-', [status(thm)], ['411', '412'])). 10.46/10.66 tff('1612', plain, 10.46/10.66 ![X0, X1]: 10.46/10.66 (~ zip_tseitin_2(X0) 10.46/10.66 | greater(zero, X1) 10.46/10.66 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.46/10.66 inference('sup-', [status(thm)], ['76', '77'])). 10.46/10.66 tff('1613', plain, 10.46/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.46/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.46/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.46/10.66 | greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.46/10.66 | ~ zip_tseitin_2(sk_T(sk_T_1(sk_E)))), 10.46/10.66 inference('sup-', [status(thm)], ['1611', '1612'])). 10.46/10.66 tff('1614', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.66 tff('1615', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.66 tff('1616', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.66 tff('1617', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.66 tff('1618', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.66 tff('1619', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.66 tff('1620', plain, 10.46/10.66 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.66 | greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.66 | ~ zip_tseitin_2(sk_T(equilibrium(sk_E)))), 10.46/10.66 inference('demod', [status(thm)], 10.46/10.66 ['1613', '1614', '1615', '1616', '1617', '1618', '1619'])). 10.46/10.66 tff('1621', plain, 10.46/10.66 ( zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.66 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.66 inference('sup-', [status(thm)], ['1610', '1620'])). 10.46/10.66 tff('1622', plain, 10.46/10.66 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_2(sk_T(equilibrium(sk_E)))), 10.46/10.66 inference('demod', [status(thm)], ['1592', '1596'])). 10.46/10.66 tff('1623', plain, 10.46/10.66 ![X0]: 10.46/10.66 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.46/10.66 inference('cnf', [status(esa)], [zf_stmt_2])). 10.46/10.66 tff('1624', plain, 10.46/10.66 ( greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.46/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.46/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.46/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.46/10.66 growth_rate(first_movers, sk_T(sk_T_1(sk_E))))), 10.46/10.66 inference('sup-', [status(thm)], ['411', '412'])). 10.46/10.66 tff('1625', plain, 10.46/10.66 ![X13, X14, X15]: 10.46/10.66 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.46/10.66 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.46/10.66 tff('1626', plain, 10.46/10.66 ![X0]: 10.46/10.66 (sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.46/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.46/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.46/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), X0) 10.46/10.66 | ~ greater(growth_rate(first_movers, sk_T(sk_T_1(sk_E))), X0)), 10.46/10.66 inference('sup-', [status(thm)], ['1624', '1625'])). 10.46/10.66 tff('1627', plain, 10.46/10.66 (~ zip_tseitin_2(sk_T(sk_T_1(sk_E))) 10.46/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), zero) 10.46/10.66 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.46/10.66 | sk_To(sk_E) = sk_T_1(sk_E) 10.46/10.66 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E)), 10.46/10.66 inference('sup-', [status(thm)], ['1623', '1626'])). 10.46/10.66 tff('1628', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.66 tff('1629', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.66 tff('1630', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.66 tff('1631', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.66 tff('1632', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.66 tff('1633', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.66 tff('1634', plain, 10.46/10.66 (~ zip_tseitin_2(sk_T(equilibrium(sk_E))) 10.46/10.66 | greater(growth_rate(efficient_producers, sk_T(equilibrium(sk_E))), 10.46/10.66 zero) 10.46/10.66 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.66 inference('demod', [status(thm)], 10.46/10.66 ['1627', '1628', '1629', '1630', '1631', '1632', '1633'])). 10.46/10.66 tff('1635', plain, 10.46/10.66 ( zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.66 | greater(growth_rate(efficient_producers, sk_T(equilibrium(sk_E))), 10.46/10.66 zero)), 10.46/10.66 inference('sup-', [status(thm)], ['1622', '1634'])). 10.46/10.66 tff('1636', plain, 10.46/10.66 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.46/10.66 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.46/10.66 tff('1637', plain, 10.46/10.66 ( greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | greater_or_equal( 10.46/10.66 growth_rate(efficient_producers, sk_T(equilibrium(sk_E))), zero)), 10.46/10.66 inference('sup-', [status(thm)], ['1635', '1636'])). 10.46/10.66 tff('1638', plain, 10.46/10.66 ![X8, X9, X10, X11]: 10.46/10.66 (~ environment(X8) 10.46/10.66 | ~ subpopulations(X9, X10, X8, X11) 10.46/10.66 | outcompetes(X10, X9, X11) 10.46/10.66 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.46/10.66 | ~ greater(zero, growth_rate(X9, X11))), 10.46/10.66 inference('cnf', [status(esa)], [d2])). 10.46/10.66 tff('1639', plain, 10.46/10.66 ![X0, X1]: 10.46/10.66 ( zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.66 | ~ greater(zero, growth_rate(X0, sk_T(equilibrium(sk_E)))) 10.46/10.66 | outcompetes(efficient_producers, X0, sk_T(equilibrium(sk_E))) 10.46/10.66 | ~ subpopulations(X0, efficient_producers, X1, 10.46/10.66 sk_T(equilibrium(sk_E))) 10.46/10.66 | ~ environment(X1)), 10.46/10.66 inference('sup-', [status(thm)], ['1637', '1638'])). 10.46/10.66 tff('1640', plain, 10.46/10.66 ![X0]: 10.46/10.66 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | ~ environment(X0) 10.46/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, 10.46/10.66 sk_T(equilibrium(sk_E))) 10.46/10.66 | outcompetes(efficient_producers, first_movers, 10.46/10.66 sk_T(equilibrium(sk_E))) 10.46/10.66 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E)))), 10.46/10.66 inference('sup-', [status(thm)], ['1621', '1639'])). 10.46/10.66 tff('1641', plain, 10.46/10.66 ![X0]: 10.46/10.66 ( outcompetes(efficient_producers, first_movers, 10.46/10.66 sk_T(equilibrium(sk_E))) 10.46/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, 10.46/10.66 sk_T(equilibrium(sk_E))) 10.46/10.66 | ~ environment(X0) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.66 inference('simplify', [status(thm)], ['1640'])). 10.46/10.66 tff('1642', plain, 10.46/10.66 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | ~ environment(sk_E) 10.46/10.66 | outcompetes(efficient_producers, first_movers, 10.46/10.66 sk_T(equilibrium(sk_E)))), 10.46/10.66 inference('sup-', [status(thm)], ['1609', '1641'])). 10.46/10.66 tff('1643', plain, environment(sk_E), 10.46/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.66 tff('1644', plain, 10.46/10.66 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | outcompetes(efficient_producers, first_movers, 10.46/10.66 sk_T(equilibrium(sk_E)))), 10.46/10.66 inference('demod', [status(thm)], ['1642', '1643'])). 10.46/10.66 tff('1645', plain, 10.46/10.66 ![X12]: 10.46/10.66 (~ in_environment(sk_E, X12) 10.46/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.66 tff('1646', plain, 10.46/10.66 ( zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | ~ in_environment(sk_E, equilibrium(sk_E))), 10.46/10.66 inference('sup-', [status(thm)], ['1644', '1645'])). 10.46/10.66 tff('1647', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.66 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.66 tff('1648', plain, 10.46/10.66 ![X19]: 10.46/10.66 ( in_environment(X19, sk_T_1(X19)) | ~ stable(X19) | ~ environment(X19)), 10.46/10.66 inference('cnf', [status(esa)], [a4])). 10.46/10.66 tff('1649', plain, 10.46/10.66 ( in_environment(sk_E, equilibrium(sk_E)) 10.46/10.66 | ~ environment(sk_E) 10.46/10.66 | ~ stable(sk_E)), 10.46/10.66 inference('sup+', [status(thm)], ['1647', '1648'])). 10.46/10.66 tff('1650', plain, environment(sk_E), 10.46/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.66 tff('1651', plain, stable(sk_E), 10.46/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.66 tff('1652', plain, in_environment(sk_E, equilibrium(sk_E)), 10.46/10.66 inference('demod', [status(thm)], ['1649', '1650', '1651'])). 10.46/10.66 tff('1653', plain, 10.46/10.66 ( zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.66 inference('demod', [status(thm)], ['1646', '1652'])). 10.46/10.66 tff('1654', plain, 10.46/10.66 ![X16, X18]: 10.46/10.66 ( greater(X16, X18) | X16 = X18 | ~ greater_or_equal(X16, X18)), 10.46/10.66 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.46/10.66 tff('1655', plain, 10.46/10.66 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | greater(sk_To(sk_E), equilibrium(sk_E))), 10.46/10.66 inference('sup-', [status(thm)], ['1653', '1654'])). 10.46/10.66 tff('1656', plain, 10.46/10.66 ( greater(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.66 inference('simplify', [status(thm)], ['1655'])). 10.46/10.66 tff('1657', plain, 10.46/10.66 ![X0]: 10.46/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.66 | greater(sk_T(sk_To(sk_E)), X0) 10.46/10.66 | ~ greater(sk_To(sk_E), X0)), 10.46/10.66 inference('sup-', [status(thm)], ['119', '120'])). 10.46/10.66 tff('1658', plain, 10.46/10.66 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.46/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.66 inference('sup-', [status(thm)], ['1656', '1657'])). 10.46/10.66 tff('1659', plain, 10.46/10.66 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.46/10.66 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.46/10.66 tff('1660', plain, 10.46/10.66 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.46/10.66 inference('sup-', [status(thm)], ['1658', '1659'])). 10.46/10.66 tff('1661', plain, 10.46/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.66 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.66 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.46/10.66 inference('demod', [status(thm)], ['127', '128'])). 10.46/10.66 tff('1662', plain, 10.46/10.66 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.66 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.66 inference('sup-', [status(thm)], ['1660', '1661'])). 10.46/10.66 tff('1663', plain, 10.46/10.66 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.66 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.46/10.66 inference('sup-', [status(thm)], ['137', '138'])). 10.46/10.66 tff('1664', plain, 10.46/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.46/10.66 inference('sup-', [status(thm)], ['1662', '1663'])). 10.46/10.66 tff('1665', plain, 10.46/10.66 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.66 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.66 inference('sup-', [status(thm)], ['1660', '1661'])). 10.46/10.66 tff('1666', plain, 10.46/10.66 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.46/10.66 inference('sup-', [status(thm)], ['142', '145'])). 10.46/10.66 tff('1667', plain, 10.46/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.46/10.66 inference('sup-', [status(thm)], ['1665', '1666'])). 10.46/10.66 tff('1668', plain, 10.46/10.66 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.46/10.66 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.46/10.66 tff('1669', plain, 10.46/10.66 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.66 | greater_or_equal( 10.46/10.66 growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.46/10.66 inference('sup-', [status(thm)], ['1667', '1668'])). 10.46/10.66 tff('1670', plain, 10.46/10.66 ![X8, X9, X10, X11]: 10.46/10.66 (~ environment(X8) 10.46/10.66 | ~ subpopulations(X9, X10, X8, X11) 10.46/10.66 | outcompetes(X10, X9, X11) 10.46/10.66 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.46/10.66 | ~ greater(zero, growth_rate(X9, X11))), 10.46/10.66 inference('cnf', [status(esa)], [d2])). 10.46/10.66 tff('1671', plain, 10.46/10.66 ![X0, X1]: 10.46/10.66 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | ~ greater(zero, growth_rate(X0, sk_T(sk_To(sk_E)))) 10.46/10.66 | outcompetes(efficient_producers, X0, sk_T(sk_To(sk_E))) 10.46/10.66 | ~ subpopulations(X0, efficient_producers, X1, sk_T(sk_To(sk_E))) 10.46/10.66 | ~ environment(X1)), 10.46/10.66 inference('sup-', [status(thm)], ['1669', '1670'])). 10.46/10.66 tff('1672', plain, 10.46/10.66 ![X0]: 10.46/10.66 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.66 | ~ environment(X0) 10.46/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, 10.46/10.66 sk_T(sk_To(sk_E))) 10.46/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.46/10.66 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.66 inference('sup-', [status(thm)], ['1664', '1671'])). 10.46/10.66 tff('1673', plain, 10.46/10.66 ![X0]: 10.46/10.66 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.46/10.66 | ~ subpopulations(first_movers, efficient_producers, X0, 10.46/10.66 sk_T(sk_To(sk_E))) 10.46/10.66 | ~ environment(X0) 10.46/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.66 inference('simplify', [status(thm)], ['1672'])). 10.46/10.66 tff('1674', plain, 10.46/10.66 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.66 | ~ environment(sk_E) 10.46/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.66 inference('sup-', [status(thm)], ['1608', '1673'])). 10.46/10.66 tff('1675', plain, environment(sk_E), 10.46/10.66 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.66 tff('1676', plain, 10.46/10.66 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.66 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.66 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.66 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.66 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.66 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.66 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.66 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.66 inference('demod', [status(thm)], ['1674', '1675'])). 10.46/10.66 tff('1677', plain, 10.46/10.66 ![X12]: 10.46/10.66 (~ in_environment(sk_E, X12) 10.46/10.66 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1678', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1676', '1677'])). 10.46/10.67 tff('1679', plain, 10.46/10.67 (~ stable(sk_E) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1607', '1678'])). 10.46/10.67 tff('1680', plain, stable(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1681', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1682', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1679', '1680', '1681'])). 10.46/10.67 tff('1683', plain, 10.46/10.67 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['184', '185'])). 10.46/10.67 tff('1684', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1682', '1683'])). 10.46/10.67 tff('1685', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1686', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1684', '1685'])). 10.46/10.67 tff('1687', plain, 10.46/10.67 (~ stable(sk_E) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['1606', '1686'])). 10.46/10.67 tff('1688', plain, stable(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1689', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1690', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['1687', '1688', '1689'])). 10.46/10.67 tff('1691', plain, 10.46/10.67 (~ zip_tseitin_1(sk_T(sk_T_1(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_T_1(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['172', '173'])). 10.46/10.67 tff('1692', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.67 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.67 tff('1693', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.67 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.67 tff('1694', plain, 10.46/10.67 (~ zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, 10.46/10.67 sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1691', '1692', '1693'])). 10.46/10.67 tff('1695', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, 10.46/10.67 sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1690', '1694'])). 10.46/10.67 tff('1696', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1697', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | ~ in_environment(sk_E, equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1695', '1696'])). 10.46/10.67 tff('1698', plain, in_environment(sk_E, equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['1649', '1650', '1651'])). 10.46/10.67 tff('1699', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['1697', '1698'])). 10.46/10.67 tff('1700', plain, 10.46/10.67 subpopulations(first_movers, efficient_producers, sk_E, 10.46/10.67 sk_T(sk_To(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['12', '13', '14'])). 10.46/10.67 tff('1701', plain, 10.46/10.67 ![X3]: 10.46/10.67 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.67 inference('cnf', [status(esa)], [l1])). 10.46/10.67 tff('1702', plain, 10.46/10.67 ![X3]: 10.46/10.67 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.67 inference('cnf', [status(esa)], [l1])). 10.46/10.67 tff('1703', plain, 10.46/10.67 ![X3]: 10.46/10.67 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.67 inference('cnf', [status(esa)], [l1])). 10.46/10.67 tff('1704', plain, 10.46/10.67 ![X3]: 10.46/10.67 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.67 inference('cnf', [status(esa)], [l1])). 10.46/10.67 tff('1705', plain, 10.46/10.67 ( zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['1646', '1652'])). 10.46/10.67 tff('1706', plain, 10.46/10.67 ![X3]: 10.46/10.67 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.67 inference('cnf', [status(esa)], [l1])). 10.46/10.67 tff('1707', plain, 10.46/10.67 ![X3]: 10.46/10.67 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.67 inference('cnf', [status(esa)], [l1])). 10.46/10.67 tff('1708', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1660', '1661'])). 10.46/10.67 tff('1709', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.46/10.67 inference('sup-', [status(thm)], ['1665', '1666'])). 10.46/10.67 tff('1710', plain, 10.46/10.67 ![X0, X1]: 10.46/10.67 (~ zip_tseitin_2(X0) 10.46/10.67 | greater(zero, X1) 10.46/10.67 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.46/10.67 inference('sup-', [status(thm)], ['76', '77'])). 10.46/10.67 tff('1711', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1709', '1710'])). 10.46/10.67 tff('1712', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['1708', '1711'])). 10.46/10.67 tff('1713', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('simplify', [status(thm)], ['1712'])). 10.46/10.67 tff('1714', plain, 10.46/10.67 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['184', '185'])). 10.46/10.67 tff('1715', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1713', '1714'])). 10.46/10.67 tff('1716', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1717', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1715', '1716'])). 10.46/10.67 tff('1718', plain, 10.46/10.67 (~ stable(sk_E) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('sup-', [status(thm)], ['1707', '1717'])). 10.46/10.67 tff('1719', plain, stable(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1720', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1721', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('demod', [status(thm)], ['1718', '1719', '1720'])). 10.46/10.67 tff('1722', plain, 10.46/10.67 (~ zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, 10.46/10.67 sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1691', '1692', '1693'])). 10.46/10.67 tff('1723', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, 10.46/10.67 sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1721', '1722'])). 10.46/10.67 tff('1724', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1725', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | ~ in_environment(sk_E, equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1723', '1724'])). 10.46/10.67 tff('1726', plain, in_environment(sk_E, equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['1649', '1650', '1651'])). 10.46/10.67 tff('1727', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('demod', [status(thm)], ['1725', '1726'])). 10.46/10.67 tff('1728', plain, 10.46/10.67 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('1729', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('demod', [status(thm)], ['1725', '1726'])). 10.46/10.67 tff('1730', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup+', [status(thm)], ['274', '275'])). 10.46/10.67 tff('1731', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.46/10.67 inference('sup-', [status(thm)], ['1729', '1730'])). 10.46/10.67 tff('1732', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('sup+', [status(thm)], ['1728', '1731'])). 10.46/10.67 tff('1733', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1732'])). 10.46/10.67 tff('1734', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['1727', '1733'])). 10.46/10.67 tff('1735', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1734'])). 10.46/10.67 tff('1736', plain, 10.46/10.67 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('1737', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1734'])). 10.46/10.67 tff('1738', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_T_1(sk_E))) 10.46/10.67 | sk_T(sk_T_1(sk_E)) = sk_T_1(sk_E) 10.46/10.67 | greater(sk_To(sk_E), sk_T_1(sk_E)) 10.46/10.67 | sk_To(sk_E) = sk_T_1(sk_E)), 10.46/10.67 inference('sup+', [status(thm)], ['230', '231'])). 10.46/10.67 tff('1739', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.67 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.67 tff('1740', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.67 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.67 tff('1741', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.67 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.67 tff('1742', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.67 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.67 tff('1743', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.67 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.67 tff('1744', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.67 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.67 tff('1745', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.67 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], 10.46/10.67 ['1738', '1739', '1740', '1741', '1742', '1743', '1744'])). 10.46/10.67 tff('1746', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E))))), 10.46/10.67 inference('sup-', [status(thm)], ['1737', '1745'])). 10.46/10.67 tff('1747', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.67 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1746'])). 10.46/10.67 tff('1748', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | greater(sk_To(sk_E), equilibrium(sk_E))), 10.46/10.67 inference('sup+', [status(thm)], ['1736', '1747'])). 10.46/10.67 tff('1749', plain, 10.46/10.67 ( greater(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1748'])). 10.46/10.67 tff('1750', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | greater(sk_To(sk_E), equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1735', '1749'])). 10.46/10.67 tff('1751', plain, 10.46/10.67 ( greater(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1750'])). 10.46/10.67 tff('1752', plain, 10.46/10.67 ![X0]: 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | greater(sk_T(sk_To(sk_E)), X0) 10.46/10.67 | ~ greater(sk_To(sk_E), X0)), 10.46/10.67 inference('sup-', [status(thm)], ['119', '120'])). 10.46/10.67 tff('1753', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['1751', '1752'])). 10.46/10.67 tff('1754', plain, 10.46/10.67 ( greater(sk_T(sk_To(sk_E)), equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1753'])). 10.46/10.67 tff('1755', plain, 10.46/10.67 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.46/10.67 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.46/10.67 tff('1756', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1754', '1755'])). 10.46/10.67 tff('1757', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['127', '128'])). 10.46/10.67 tff('1758', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1756', '1757'])). 10.46/10.67 tff('1759', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1756', '1757'])). 10.46/10.67 tff('1760', plain, 10.46/10.67 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.46/10.67 inference('sup-', [status(thm)], ['142', '145'])). 10.46/10.67 tff('1761', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.46/10.67 inference('sup-', [status(thm)], ['1759', '1760'])). 10.46/10.67 tff('1762', plain, 10.46/10.67 ![X0, X1]: 10.46/10.67 (~ zip_tseitin_2(X0) 10.46/10.67 | greater(zero, X1) 10.46/10.67 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.46/10.67 inference('sup-', [status(thm)], ['76', '77'])). 10.46/10.67 tff('1763', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1761', '1762'])). 10.46/10.67 tff('1764', plain, 10.46/10.67 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1763'])). 10.46/10.67 tff('1765', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1758', '1764'])). 10.46/10.67 tff('1766', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('simplify', [status(thm)], ['1765'])). 10.46/10.67 tff('1767', plain, 10.46/10.67 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['184', '185'])). 10.46/10.67 tff('1768', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1766', '1767'])). 10.46/10.67 tff('1769', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1770', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1768', '1769'])). 10.46/10.67 tff('1771', plain, 10.46/10.67 (~ stable(sk_E) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['1706', '1770'])). 10.46/10.67 tff('1772', plain, stable(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1773', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1774', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['1771', '1772', '1773'])). 10.46/10.67 tff('1775', plain, 10.46/10.67 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('1776', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['1771', '1772', '1773'])). 10.46/10.67 tff('1777', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup+', [status(thm)], ['274', '275'])). 10.46/10.67 tff('1778', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.46/10.67 inference('sup-', [status(thm)], ['1776', '1777'])). 10.46/10.67 tff('1779', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('sup+', [status(thm)], ['1775', '1778'])). 10.46/10.67 tff('1780', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1779'])). 10.46/10.67 tff('1781', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['1774', '1780'])). 10.46/10.67 tff('1782', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1781'])). 10.46/10.67 tff('1783', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['127', '128'])). 10.46/10.67 tff('1784', plain, 10.46/10.67 (~ greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1782', '1783'])). 10.46/10.67 tff('1785', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['1705', '1784'])). 10.46/10.67 tff('1786', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1785'])). 10.46/10.67 tff('1787', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1785'])). 10.46/10.67 tff('1788', plain, 10.46/10.67 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.46/10.67 inference('sup-', [status(thm)], ['142', '145'])). 10.46/10.67 tff('1789', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.46/10.67 inference('sup-', [status(thm)], ['1787', '1788'])). 10.46/10.67 tff('1790', plain, 10.46/10.67 ![X0, X1]: 10.46/10.67 (~ zip_tseitin_2(X0) 10.46/10.67 | greater(zero, X1) 10.46/10.67 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.46/10.67 inference('sup-', [status(thm)], ['76', '77'])). 10.46/10.67 tff('1791', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1789', '1790'])). 10.46/10.67 tff('1792', plain, 10.46/10.67 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1791'])). 10.46/10.67 tff('1793', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['1786', '1792'])). 10.46/10.67 tff('1794', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1793'])). 10.46/10.67 tff('1795', plain, 10.46/10.67 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['184', '185'])). 10.46/10.67 tff('1796', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1794', '1795'])). 10.46/10.67 tff('1797', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1798', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1796', '1797'])). 10.46/10.67 tff('1799', plain, 10.46/10.67 (~ stable(sk_E) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('sup-', [status(thm)], ['1704', '1798'])). 10.46/10.67 tff('1800', plain, stable(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1801', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1802', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('demod', [status(thm)], ['1799', '1800', '1801'])). 10.46/10.67 tff('1803', plain, 10.46/10.67 (~ zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, 10.46/10.67 sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1691', '1692', '1693'])). 10.46/10.67 tff('1804', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | outcompetes(efficient_producers, first_movers, 10.46/10.67 sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1802', '1803'])). 10.46/10.67 tff('1805', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1806', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | ~ in_environment(sk_E, equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1804', '1805'])). 10.46/10.67 tff('1807', plain, in_environment(sk_E, equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['1649', '1650', '1651'])). 10.46/10.67 tff('1808', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('demod', [status(thm)], ['1806', '1807'])). 10.46/10.67 tff('1809', plain, 10.46/10.67 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('1810', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('demod', [status(thm)], ['1806', '1807'])). 10.46/10.67 tff('1811', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup+', [status(thm)], ['274', '275'])). 10.46/10.67 tff('1812', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.46/10.67 inference('sup-', [status(thm)], ['1810', '1811'])). 10.46/10.67 tff('1813', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('sup+', [status(thm)], ['1809', '1812'])). 10.46/10.67 tff('1814', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1813'])). 10.46/10.67 tff('1815', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1808', '1814'])). 10.46/10.67 tff('1816', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1815'])). 10.46/10.67 tff('1817', plain, 10.46/10.67 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('1818', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1815'])). 10.46/10.67 tff('1819', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.67 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], 10.46/10.67 ['1738', '1739', '1740', '1741', '1742', '1743', '1744'])). 10.46/10.67 tff('1820', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E))))), 10.46/10.67 inference('sup-', [status(thm)], ['1818', '1819'])). 10.46/10.67 tff('1821', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.67 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1820'])). 10.46/10.67 tff('1822', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(sk_To(sk_E), equilibrium(sk_E))), 10.46/10.67 inference('sup+', [status(thm)], ['1817', '1821'])). 10.46/10.67 tff('1823', plain, 10.46/10.67 ( greater(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1822'])). 10.46/10.67 tff('1824', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(sk_To(sk_E), equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1816', '1823'])). 10.46/10.67 tff('1825', plain, 10.46/10.67 ( greater(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1824'])). 10.46/10.67 tff('1826', plain, 10.46/10.67 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.46/10.67 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.46/10.67 tff('1827', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1825', '1826'])). 10.46/10.67 tff('1828', plain, 10.46/10.67 (~ greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1782', '1783'])). 10.46/10.67 tff('1829', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['1827', '1828'])). 10.46/10.67 tff('1830', plain, 10.46/10.67 ( zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1829'])). 10.46/10.67 tff('1831', plain, 10.46/10.67 ( zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1829'])). 10.46/10.67 tff('1832', plain, 10.46/10.67 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.46/10.67 inference('sup-', [status(thm)], ['142', '145'])). 10.46/10.67 tff('1833', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.46/10.67 inference('sup-', [status(thm)], ['1831', '1832'])). 10.46/10.67 tff('1834', plain, 10.46/10.67 ![X0, X1]: 10.46/10.67 (~ zip_tseitin_2(X0) 10.46/10.67 | greater(zero, X1) 10.46/10.67 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.46/10.67 inference('sup-', [status(thm)], ['76', '77'])). 10.46/10.67 tff('1835', plain, 10.46/10.67 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1833', '1834'])). 10.46/10.67 tff('1836', plain, 10.46/10.67 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('simplify', [status(thm)], ['1835'])). 10.46/10.67 tff('1837', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['1830', '1836'])). 10.46/10.67 tff('1838', plain, 10.46/10.67 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1837'])). 10.46/10.67 tff('1839', plain, 10.46/10.67 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['184', '185'])). 10.46/10.67 tff('1840', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1838', '1839'])). 10.46/10.67 tff('1841', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1842', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1840', '1841'])). 10.46/10.67 tff('1843', plain, 10.46/10.67 (~ stable(sk_E) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1703', '1842'])). 10.46/10.67 tff('1844', plain, stable(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1845', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1846', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1843', '1844', '1845'])). 10.46/10.67 tff('1847', plain, 10.46/10.67 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('1848', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1843', '1844', '1845'])). 10.46/10.67 tff('1849', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup+', [status(thm)], ['274', '275'])). 10.46/10.67 tff('1850', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.46/10.67 inference('sup-', [status(thm)], ['1848', '1849'])). 10.46/10.67 tff('1851', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('sup+', [status(thm)], ['1847', '1850'])). 10.46/10.67 tff('1852', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1851'])). 10.46/10.67 tff('1853', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['1846', '1852'])). 10.46/10.67 tff('1854', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1853'])). 10.46/10.67 tff('1855', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1592', '1596'])). 10.46/10.67 tff('1856', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('sup+', [status(thm)], ['1854', '1855'])). 10.46/10.67 tff('1857', plain, 10.46/10.67 (~ zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, 10.46/10.67 sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1691', '1692', '1693'])). 10.46/10.67 tff('1858', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | outcompetes(efficient_producers, first_movers, 10.46/10.67 sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1856', '1857'])). 10.46/10.67 tff('1859', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1860', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | ~ in_environment(sk_E, equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1858', '1859'])). 10.46/10.67 tff('1861', plain, in_environment(sk_E, equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['1649', '1650', '1651'])). 10.46/10.67 tff('1862', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1860', '1861'])). 10.46/10.67 tff('1863', plain, 10.46/10.67 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('1864', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1860', '1861'])). 10.46/10.67 tff('1865', plain, 10.46/10.67 ![X0]: 10.46/10.67 (growth_rate(efficient_producers, X0) = zero | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('1866', plain, 10.46/10.67 ![X0]: 10.46/10.67 (~ environment(X0) 10.46/10.67 | ~ stable(X0) 10.46/10.67 | sk_To(X0) = sk_T_1(X0) 10.46/10.67 | greater(sk_To(X0), sk_T_1(X0)) 10.46/10.67 | greater_or_equal(sk_T_1(X0), sk_To(X0))), 10.46/10.67 inference('sup-', [status(thm)], ['303', '304'])). 10.46/10.67 tff('1867', plain, 10.46/10.67 ![X0]: 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | greater(sk_T(sk_To(sk_E)), X0) 10.46/10.67 | ~ greater(sk_To(sk_E), X0)), 10.46/10.67 inference('sup-', [status(thm)], ['119', '120'])). 10.46/10.67 tff('1868', plain, 10.46/10.67 ( greater_or_equal(sk_T_1(sk_E), sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = sk_T_1(sk_E) 10.46/10.67 | ~ stable(sk_E) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | greater(sk_T(sk_To(sk_E)), sk_T_1(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['1866', '1867'])). 10.46/10.67 tff('1869', plain, stable(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1870', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1871', plain, 10.46/10.67 ( greater_or_equal(sk_T_1(sk_E), sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = sk_T_1(sk_E) 10.46/10.67 | greater(sk_T(sk_To(sk_E)), sk_T_1(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['1868', '1869', '1870'])). 10.46/10.67 tff('1872', plain, 10.46/10.67 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.46/10.67 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.46/10.67 tff('1873', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = sk_T_1(sk_E) 10.46/10.67 | greater_or_equal(sk_T_1(sk_E), sk_To(sk_E)) 10.46/10.67 | greater_or_equal(sk_T(sk_To(sk_E)), sk_T_1(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1871', '1872'])). 10.46/10.67 tff('1874', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.67 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.67 tff('1875', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.67 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.67 tff('1876', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.67 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.67 tff('1877', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater_or_equal(equilibrium(sk_E), sk_To(sk_E)) 10.46/10.67 | greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['1873', '1874', '1875', '1876'])). 10.46/10.67 tff('1878', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['127', '128'])). 10.46/10.67 tff('1879', plain, 10.46/10.67 ( greater_or_equal(equilibrium(sk_E), sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1877', '1878'])). 10.46/10.67 tff('1880', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1853'])). 10.46/10.67 tff('1881', plain, 10.46/10.67 ( greater(growth_rate(efficient_producers, sk_T(sk_T_1(sk_E))), 10.46/10.67 growth_rate(first_movers, sk_T(sk_T_1(sk_E)))) 10.46/10.67 | ~ greater_or_equal(sk_T(sk_T_1(sk_E)), sk_To(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['71', '72', '73'])). 10.46/10.67 tff('1882', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.67 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.67 tff('1883', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.67 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.67 tff('1884', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.67 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.67 tff('1885', plain, 10.46/10.67 ( greater(growth_rate(efficient_producers, sk_T(equilibrium(sk_E))), 10.46/10.67 growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.67 | ~ greater_or_equal(sk_T(equilibrium(sk_E)), sk_To(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['1881', '1882', '1883', '1884'])). 10.46/10.67 tff('1886', plain, 10.46/10.67 (~ greater_or_equal(equilibrium(sk_E), sk_To(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_T(equilibrium(sk_E))), 10.46/10.67 growth_rate(first_movers, sk_T(equilibrium(sk_E))))), 10.46/10.67 inference('sup-', [status(thm)], ['1880', '1885'])). 10.46/10.67 tff('1887', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_T(equilibrium(sk_E))), 10.46/10.67 growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('sup-', [status(thm)], ['1879', '1886'])). 10.46/10.67 tff('1888', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_T(equilibrium(sk_E))), 10.46/10.67 growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('simplify', [status(thm)], ['1887'])). 10.46/10.67 tff('1889', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.67 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('sup+', [status(thm)], ['1865', '1888'])). 10.46/10.67 tff('1890', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E))))), 10.46/10.67 inference('sup-', [status(thm)], ['1864', '1889'])). 10.46/10.67 tff('1891', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1890'])). 10.46/10.67 tff('1892', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup+', [status(thm)], ['1863', '1891'])). 10.46/10.67 tff('1893', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1892'])). 10.46/10.67 tff('1894', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1862', '1893'])). 10.46/10.67 tff('1895', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1894'])). 10.46/10.67 tff('1896', plain, 10.46/10.67 ![X0]: 10.46/10.67 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_2])). 10.46/10.67 tff('1897', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1894'])). 10.46/10.67 tff('1898', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.67 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['137', '138'])). 10.46/10.67 tff('1899', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.46/10.67 inference('sup-', [status(thm)], ['1897', '1898'])). 10.46/10.67 tff('1900', plain, 10.46/10.67 ![X13, X14, X15]: 10.46/10.67 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.46/10.67 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.46/10.67 tff('1901', plain, 10.46/10.67 ![X0]: 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, X0) 10.46/10.67 | ~ greater(growth_rate(first_movers, sk_T(sk_To(sk_E))), X0)), 10.46/10.67 inference('sup-', [status(thm)], ['1899', '1900'])). 10.46/10.67 tff('1902', plain, 10.46/10.67 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1896', '1901'])). 10.46/10.67 tff('1903', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('simplify', [status(thm)], ['1902'])). 10.46/10.67 tff('1904', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1895', '1903'])). 10.46/10.67 tff('1905', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1904'])). 10.46/10.67 tff('1906', plain, 10.46/10.67 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['184', '185'])). 10.46/10.67 tff('1907', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1905', '1906'])). 10.46/10.67 tff('1908', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1909', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1907', '1908'])). 10.46/10.67 tff('1910', plain, 10.46/10.67 (~ stable(sk_E) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1702', '1909'])). 10.46/10.67 tff('1911', plain, stable(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1912', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1913', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1910', '1911', '1912'])). 10.46/10.67 tff('1914', plain, 10.46/10.67 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('1915', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1910', '1911', '1912'])). 10.46/10.67 tff('1916', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup+', [status(thm)], ['274', '275'])). 10.46/10.67 tff('1917', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.46/10.67 inference('sup-', [status(thm)], ['1915', '1916'])). 10.46/10.67 tff('1918', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('sup+', [status(thm)], ['1914', '1917'])). 10.46/10.67 tff('1919', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1918'])). 10.46/10.67 tff('1920', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['1913', '1919'])). 10.46/10.67 tff('1921', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1920'])). 10.46/10.67 tff('1922', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1860', '1861'])). 10.46/10.67 tff('1923', plain, 10.46/10.67 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('1924', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1860', '1861'])). 10.46/10.67 tff('1925', plain, 10.46/10.67 ![X0]: 10.46/10.67 (growth_rate(efficient_producers, X0) = zero | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('1926', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.67 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.67 tff('1927', plain, 10.46/10.67 ![X0]: 10.46/10.67 ( greater_or_equal(sk_T_1(X0), sk_To(X0)) 10.46/10.67 | sk_To(X0) = sk_T_1(X0) 10.46/10.67 | ~ stable(X0) 10.46/10.67 | ~ environment(X0) 10.46/10.67 | greater_or_equal(sk_To(X0), sk_T_1(X0))), 10.46/10.67 inference('sup-', [status(thm)], ['305', '306'])). 10.46/10.67 tff('1928', plain, 10.46/10.67 ( greater_or_equal(equilibrium(sk_E), sk_To(sk_E)) 10.46/10.67 | greater_or_equal(sk_To(sk_E), sk_T_1(sk_E)) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | ~ stable(sk_E) 10.46/10.67 | sk_To(sk_E) = sk_T_1(sk_E)), 10.46/10.67 inference('sup+', [status(thm)], ['1926', '1927'])). 10.46/10.67 tff('1929', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.67 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.67 tff('1930', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1931', plain, stable(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1932', plain, sk_T_1(sk_E) = equilibrium(sk_E), 10.46/10.67 inference('clc', [status(thm)], ['1583', '1584'])). 10.46/10.67 tff('1933', plain, 10.46/10.67 ( greater_or_equal(equilibrium(sk_E), sk_To(sk_E)) 10.46/10.67 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], 10.46/10.67 ['1928', '1929', '1930', '1931', '1932'])). 10.46/10.67 tff('1934', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1920'])). 10.46/10.67 tff('1935', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['127', '128'])). 10.46/10.67 tff('1936', plain, 10.46/10.67 (~ greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1934', '1935'])). 10.46/10.67 tff('1937', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater_or_equal(equilibrium(sk_E), sk_To(sk_E)) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1933', '1936'])). 10.46/10.67 tff('1938', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater_or_equal(equilibrium(sk_E), sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1937'])). 10.46/10.67 tff('1939', plain, 10.46/10.67 (~ greater_or_equal(equilibrium(sk_E), sk_To(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_T(equilibrium(sk_E))), 10.46/10.67 growth_rate(first_movers, sk_T(equilibrium(sk_E))))), 10.46/10.67 inference('sup-', [status(thm)], ['1880', '1885'])). 10.46/10.67 tff('1940', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_T(equilibrium(sk_E))), 10.46/10.67 growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('sup-', [status(thm)], ['1938', '1939'])). 10.46/10.67 tff('1941', plain, 10.46/10.67 ( greater(growth_rate(efficient_producers, sk_T(equilibrium(sk_E))), 10.46/10.67 growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1940'])). 10.46/10.67 tff('1942', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.67 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E))), 10.46/10.67 inference('sup+', [status(thm)], ['1925', '1941'])). 10.46/10.67 tff('1943', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E))))), 10.46/10.67 inference('sup-', [status(thm)], ['1924', '1942'])). 10.46/10.67 tff('1944', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1943'])). 10.46/10.67 tff('1945', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup+', [status(thm)], ['1923', '1944'])). 10.46/10.67 tff('1946', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1945'])). 10.46/10.67 tff('1947', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1922', '1946'])). 10.46/10.67 tff('1948', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1947'])). 10.46/10.67 tff('1949', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup+', [status(thm)], ['1921', '1948'])). 10.46/10.67 tff('1950', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['1949'])). 10.46/10.67 tff('1951', plain, 10.46/10.67 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['184', '185'])). 10.46/10.67 tff('1952', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1950', '1951'])). 10.46/10.67 tff('1953', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1954', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1952', '1953'])). 10.46/10.67 tff('1955', plain, 10.46/10.67 (~ stable(sk_E) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1701', '1954'])). 10.46/10.67 tff('1956', plain, stable(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1957', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('1958', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1955', '1956', '1957'])). 10.46/10.67 tff('1959', plain, 10.46/10.67 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('1960', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1955', '1956', '1957'])). 10.46/10.67 tff('1961', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup+', [status(thm)], ['274', '275'])). 10.46/10.67 tff('1962', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.46/10.67 inference('sup-', [status(thm)], ['1960', '1961'])). 10.46/10.67 tff('1963', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('sup+', [status(thm)], ['1959', '1962'])). 10.46/10.67 tff('1964', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1963'])). 10.46/10.67 tff('1965', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['1958', '1964'])). 10.46/10.67 tff('1966', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1965'])). 10.46/10.67 tff('1967', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1965'])). 10.46/10.67 tff('1968', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1920'])). 10.46/10.67 tff('1969', plain, 10.46/10.67 ![X0]: 10.46/10.67 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_2])). 10.46/10.67 tff('1970', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1920'])). 10.46/10.67 tff('1971', plain, 10.46/10.67 greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), 10.46/10.67 growth_rate(first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['133', '134', '135', '136'])). 10.46/10.67 tff('1972', plain, 10.46/10.67 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.46/10.67 growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('sup+', [status(thm)], ['1970', '1971'])). 10.46/10.67 tff('1973', plain, 10.46/10.67 ![X13, X14, X15]: 10.46/10.67 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.46/10.67 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.46/10.67 tff('1974', plain, 10.46/10.67 ![X0]: 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_To(sk_E)), X0) 10.46/10.67 | ~ greater(growth_rate(first_movers, sk_T(sk_To(sk_E))), X0)), 10.46/10.67 inference('sup-', [status(thm)], ['1972', '1973'])). 10.46/10.67 tff('1975', plain, 10.46/10.67 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['1969', '1974'])). 10.46/10.67 tff('1976', plain, 10.46/10.67 (~ zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero)), 10.46/10.67 inference('sup-', [status(thm)], ['1968', '1975'])). 10.46/10.67 tff('1977', plain, 10.46/10.67 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | ~ zip_tseitin_2(sk_To(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['1976'])). 10.46/10.67 tff('1978', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero)), 10.46/10.67 inference('sup-', [status(thm)], ['1967', '1977'])). 10.46/10.67 tff('1979', plain, 10.46/10.67 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1978'])). 10.46/10.67 tff('1980', plain, 10.46/10.67 ![X0, X1]: 10.46/10.67 (~ zip_tseitin_2(X0) 10.46/10.67 | greater(zero, X1) 10.46/10.67 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.46/10.67 inference('sup-', [status(thm)], ['76', '77'])). 10.46/10.67 tff('1981', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_2(sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1979', '1980'])). 10.46/10.67 tff('1982', plain, 10.46/10.67 (~ zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1981'])). 10.46/10.67 tff('1983', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1966', '1982'])). 10.46/10.67 tff('1984', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1983'])). 10.46/10.67 tff('1985', plain, 10.46/10.67 ![X0]: 10.46/10.67 (growth_rate(efficient_producers, X0) = zero | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('1986', plain, 10.46/10.67 ![X0]: 10.46/10.67 ( greater(zero, growth_rate(efficient_producers, X0)) 10.46/10.67 | ~ zip_tseitin_2(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_2])). 10.46/10.67 tff('1987', plain, 10.46/10.67 ![X0]: ( greater(zero, zero) | ~ zip_tseitin_0(X0) | ~ zip_tseitin_2(X0)), 10.46/10.67 inference('sup+', [status(thm)], ['1985', '1986'])). 10.46/10.67 tff('1988', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('sup-', [status(thm)], ['1984', '1987'])). 10.46/10.67 tff('1989', plain, 10.46/10.67 (~ zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1988'])). 10.46/10.67 tff('1990', plain, 10.46/10.67 ![X3]: 10.46/10.67 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.67 inference('cnf', [status(esa)], [l1])). 10.46/10.67 tff('1991', plain, 10.46/10.67 ![X3]: 10.46/10.67 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.67 inference('cnf', [status(esa)], [l1])). 10.46/10.67 tff('1992', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1781'])). 10.46/10.67 tff('1993', plain, 10.46/10.67 ![X3]: 10.46/10.67 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.67 inference('cnf', [status(esa)], [l1])). 10.46/10.67 tff('1994', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1781'])). 10.46/10.67 tff('1995', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1785'])). 10.46/10.67 tff('1996', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('sup+', [status(thm)], ['1994', '1995'])). 10.46/10.67 tff('1997', plain, 10.46/10.67 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['1996'])). 10.46/10.67 tff('1998', plain, 10.46/10.67 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['184', '185'])). 10.46/10.67 tff('1999', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1997', '1998'])). 10.46/10.67 tff('2000', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2001', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1999', '2000'])). 10.46/10.67 tff('2002', plain, 10.46/10.67 (~ stable(sk_E) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1993', '2001'])). 10.46/10.67 tff('2003', plain, stable(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2004', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2005', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['2002', '2003', '2004'])). 10.46/10.67 tff('2006', plain, 10.46/10.67 (~ zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, 10.46/10.67 sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1691', '1692', '1693'])). 10.46/10.67 tff('2007', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | outcompetes(efficient_producers, first_movers, 10.46/10.67 sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['2005', '2006'])). 10.46/10.67 tff('2008', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2009', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | ~ in_environment(sk_E, equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2007', '2008'])). 10.46/10.67 tff('2010', plain, in_environment(sk_E, equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['1649', '1650', '1651'])). 10.46/10.67 tff('2011', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['2009', '2010'])). 10.46/10.67 tff('2012', plain, 10.46/10.67 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('2013', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['2009', '2010'])). 10.46/10.67 tff('2014', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup+', [status(thm)], ['274', '275'])). 10.46/10.67 tff('2015', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.46/10.67 inference('sup-', [status(thm)], ['2013', '2014'])). 10.46/10.67 tff('2016', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('sup+', [status(thm)], ['2012', '2015'])). 10.46/10.67 tff('2017', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['2016'])). 10.46/10.67 tff('2018', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['2011', '2017'])). 10.46/10.67 tff('2019', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('simplify', [status(thm)], ['2018'])). 10.46/10.67 tff('2020', plain, 10.46/10.67 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('2021', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('simplify', [status(thm)], ['2018'])). 10.46/10.67 tff('2022', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.67 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], 10.46/10.67 ['1738', '1739', '1740', '1741', '1742', '1743', '1744'])). 10.46/10.67 tff('2023', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E))))), 10.46/10.67 inference('sup-', [status(thm)], ['2021', '2022'])). 10.46/10.67 tff('2024', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.67 | greater(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['2023'])). 10.46/10.67 tff('2025', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | greater(sk_To(sk_E), equilibrium(sk_E))), 10.46/10.67 inference('sup+', [status(thm)], ['2020', '2024'])). 10.46/10.67 tff('2026', plain, 10.46/10.67 ( greater(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['2025'])). 10.46/10.67 tff('2027', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | greater(sk_To(sk_E), equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2019', '2026'])). 10.46/10.67 tff('2028', plain, 10.46/10.67 ( greater(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['2027'])). 10.46/10.67 tff('2029', plain, 10.46/10.67 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.46/10.67 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.46/10.67 tff('2030', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2028', '2029'])). 10.46/10.67 tff('2031', plain, 10.46/10.67 (~ greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1782', '1783'])). 10.46/10.67 tff('2032', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['2030', '2031'])). 10.46/10.67 tff('2033', plain, 10.46/10.67 ( zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2032'])). 10.46/10.67 tff('2034', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup+', [status(thm)], ['1992', '2033'])). 10.46/10.67 tff('2035', plain, 10.46/10.67 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2034'])). 10.46/10.67 tff('2036', plain, 10.46/10.67 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['184', '185'])). 10.46/10.67 tff('2037', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['2035', '2036'])). 10.46/10.67 tff('2038', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2039', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2037', '2038'])). 10.46/10.67 tff('2040', plain, 10.46/10.67 (~ stable(sk_E) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1991', '2039'])). 10.46/10.67 tff('2041', plain, stable(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2042', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2043', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['2040', '2041', '2042'])). 10.46/10.67 tff('2044', plain, 10.46/10.67 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('2045', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['2040', '2041', '2042'])). 10.46/10.67 tff('2046', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup+', [status(thm)], ['274', '275'])). 10.46/10.67 tff('2047', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.46/10.67 inference('sup-', [status(thm)], ['2045', '2046'])). 10.46/10.67 tff('2048', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('sup+', [status(thm)], ['2044', '2047'])). 10.46/10.67 tff('2049', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['2048'])). 10.46/10.67 tff('2050', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['2043', '2049'])). 10.46/10.67 tff('2051', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['2050'])). 10.46/10.67 tff('2052', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['2050'])). 10.46/10.67 tff('2053', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1592', '1596'])). 10.46/10.67 tff('2054', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('sup+', [status(thm)], ['2052', '2053'])). 10.46/10.67 tff('2055', plain, 10.46/10.67 (~ zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, 10.46/10.67 sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1691', '1692', '1693'])). 10.46/10.67 tff('2056', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | outcompetes(efficient_producers, first_movers, 10.46/10.67 sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['2054', '2055'])). 10.46/10.67 tff('2057', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2058', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | ~ in_environment(sk_E, equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2056', '2057'])). 10.46/10.67 tff('2059', plain, in_environment(sk_E, equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['1649', '1650', '1651'])). 10.46/10.67 tff('2060', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['2058', '2059'])). 10.46/10.67 tff('2061', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E))), 10.46/10.67 inference('sup+', [status(thm)], ['2051', '2060'])). 10.46/10.67 tff('2062', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2061'])). 10.46/10.67 tff('2063', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2061'])). 10.46/10.67 tff('2064', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1781'])). 10.46/10.67 tff('2065', plain, 10.46/10.67 ![X0]: 10.46/10.67 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_2])). 10.46/10.67 tff('2066', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['1781'])). 10.46/10.67 tff('2067', plain, 10.46/10.67 greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), 10.46/10.67 growth_rate(first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['133', '134', '135', '136'])). 10.46/10.67 tff('2068', plain, 10.46/10.67 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.46/10.67 growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('sup+', [status(thm)], ['2066', '2067'])). 10.46/10.67 tff('2069', plain, 10.46/10.67 ![X13, X14, X15]: 10.46/10.67 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.46/10.67 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.46/10.67 tff('2070', plain, 10.46/10.67 ![X0]: 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_To(sk_E)), X0) 10.46/10.67 | ~ greater(growth_rate(first_movers, sk_T(sk_To(sk_E))), X0)), 10.46/10.67 inference('sup-', [status(thm)], ['2068', '2069'])). 10.46/10.67 tff('2071', plain, 10.46/10.67 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('sup-', [status(thm)], ['2065', '2070'])). 10.46/10.67 tff('2072', plain, 10.46/10.67 (~ zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero)), 10.46/10.67 inference('sup-', [status(thm)], ['2064', '2071'])). 10.46/10.67 tff('2073', plain, 10.46/10.67 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | ~ zip_tseitin_2(sk_To(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2072'])). 10.46/10.67 tff('2074', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero)), 10.46/10.67 inference('sup-', [status(thm)], ['2063', '2073'])). 10.46/10.67 tff('2075', plain, 10.46/10.67 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2074'])). 10.46/10.67 tff('2076', plain, 10.46/10.67 ![X0, X1]: 10.46/10.67 (~ zip_tseitin_2(X0) 10.46/10.67 | greater(zero, X1) 10.46/10.67 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.46/10.67 inference('sup-', [status(thm)], ['76', '77'])). 10.46/10.67 tff('2077', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_2(sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2075', '2076'])). 10.46/10.67 tff('2078', plain, 10.46/10.67 (~ zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2077'])). 10.46/10.67 tff('2079', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['2062', '2078'])). 10.46/10.67 tff('2080', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2079'])). 10.46/10.67 tff('2081', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2079'])). 10.46/10.67 tff('2082', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1592', '1596'])). 10.46/10.67 tff('2083', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('sup+', [status(thm)], ['2081', '2082'])). 10.46/10.67 tff('2084', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2083'])). 10.46/10.67 tff('2085', plain, 10.46/10.67 (~ zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, 10.46/10.67 sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['1691', '1692', '1693'])). 10.46/10.67 tff('2086', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, 10.46/10.67 sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['2084', '2085'])). 10.46/10.67 tff('2087', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2088', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | ~ in_environment(sk_E, equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2086', '2087'])). 10.46/10.67 tff('2089', plain, in_environment(sk_E, equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['1649', '1650', '1651'])). 10.46/10.67 tff('2090', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['2088', '2089'])). 10.46/10.67 tff('2091', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('sup+', [status(thm)], ['2080', '2090'])). 10.46/10.67 tff('2092', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2091'])). 10.46/10.67 tff('2093', plain, 10.46/10.67 ![X0]: 10.46/10.67 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_2])). 10.46/10.67 tff('2094', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2091'])). 10.46/10.67 tff('2095', plain, 10.46/10.67 ( greater_or_equal(equilibrium(sk_E), sk_To(sk_E)) 10.46/10.67 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], 10.46/10.67 ['1928', '1929', '1930', '1931', '1932'])). 10.46/10.67 tff('2096', plain, 10.46/10.67 ![X3]: 10.46/10.67 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.67 inference('cnf', [status(esa)], [l1])). 10.46/10.67 tff('2097', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2091'])). 10.46/10.67 tff('2098', plain, 10.46/10.67 ![X0]: 10.46/10.67 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_2])). 10.46/10.67 tff('2099', plain, 10.46/10.67 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2091'])). 10.46/10.67 tff('2100', plain, 10.46/10.67 ( greater_or_equal(equilibrium(sk_E), sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1877', '1878'])). 10.46/10.67 tff('2101', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['1853'])). 10.46/10.67 tff('2102', plain, 10.46/10.67 subpopulations(first_movers, efficient_producers, sk_E, 10.46/10.67 sk_T(equilibrium(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['5', '1585'])). 10.46/10.67 tff('2103', plain, 10.46/10.67 ( subpopulations(first_movers, efficient_producers, sk_E, 10.46/10.67 equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('sup+', [status(thm)], ['2101', '2102'])). 10.46/10.67 tff('2104', plain, 10.46/10.67 ![X3, X4]: 10.46/10.67 (~ subpopulations(first_movers, efficient_producers, X3, X4) 10.46/10.67 | ~ greater_or_equal(X4, sk_To(X3)) 10.46/10.67 | greater(growth_rate(efficient_producers, X4), 10.46/10.67 growth_rate(first_movers, X4)) 10.46/10.67 | ~ environment(X3) 10.46/10.67 | ~ stable(X3)), 10.46/10.67 inference('cnf', [status(esa)], [l1])). 10.46/10.67 tff('2105', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | ~ stable(sk_E) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.67 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.67 | ~ greater_or_equal(equilibrium(sk_E), sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2103', '2104'])). 10.46/10.67 tff('2106', plain, stable(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2107', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2108', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.67 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.67 | ~ greater_or_equal(equilibrium(sk_E), sk_To(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['2105', '2106', '2107'])). 10.46/10.67 tff('2109', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.67 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['2100', '2108'])). 10.46/10.67 tff('2110', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.67 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('simplify', [status(thm)], ['2109'])). 10.46/10.67 tff('2111', plain, 10.46/10.67 ![X0, X1]: 10.46/10.67 (~ zip_tseitin_2(X0) 10.46/10.67 | greater(zero, X1) 10.46/10.67 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.46/10.67 inference('sup-', [status(thm)], ['76', '77'])). 10.46/10.67 tff('2112', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | greater(zero, growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.67 | ~ zip_tseitin_2(equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2110', '2111'])). 10.46/10.67 tff('2113', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['2099', '2112'])). 10.46/10.67 tff('2114', plain, 10.46/10.67 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | greater(zero, growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2113'])). 10.46/10.67 tff('2115', plain, 10.46/10.67 ![X13, X14, X15]: 10.46/10.67 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.46/10.67 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.46/10.67 tff('2116', plain, 10.46/10.67 ![X0]: 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, X0) 10.46/10.67 | ~ greater(growth_rate(first_movers, equilibrium(sk_E)), X0)), 10.46/10.67 inference('sup-', [status(thm)], ['2114', '2115'])). 10.46/10.67 tff('2117', plain, 10.46/10.67 (~ zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2098', '2116'])). 10.46/10.67 tff('2118', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_2(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2117'])). 10.46/10.67 tff('2119', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2097', '2118'])). 10.46/10.67 tff('2120', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2119'])). 10.46/10.67 tff('2121', plain, 10.46/10.67 ![X0]: 10.46/10.67 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_2])). 10.46/10.67 tff('2122', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2119'])). 10.46/10.67 tff('2123', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.67 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['137', '138'])). 10.46/10.67 tff('2124', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.46/10.67 inference('sup-', [status(thm)], ['2122', '2123'])). 10.46/10.67 tff('2125', plain, 10.46/10.67 ![X13, X14, X15]: 10.46/10.67 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.46/10.67 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.46/10.67 tff('2126', plain, 10.46/10.67 ![X0]: 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, X0) 10.46/10.67 | ~ greater(growth_rate(first_movers, sk_T(sk_To(sk_E))), X0)), 10.46/10.67 inference('sup-', [status(thm)], ['2124', '2125'])). 10.46/10.67 tff('2127', plain, 10.46/10.67 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['2121', '2126'])). 10.46/10.67 tff('2128', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('simplify', [status(thm)], ['2127'])). 10.46/10.67 tff('2129', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['2120', '2128'])). 10.46/10.67 tff('2130', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2129'])). 10.46/10.67 tff('2131', plain, 10.46/10.67 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['184', '185'])). 10.46/10.67 tff('2132', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['2130', '2131'])). 10.46/10.67 tff('2133', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2134', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2132', '2133'])). 10.46/10.67 tff('2135', plain, 10.46/10.67 (~ stable(sk_E) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['2096', '2134'])). 10.46/10.67 tff('2136', plain, stable(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2137', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2138', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['2135', '2136', '2137'])). 10.46/10.67 tff('2139', plain, 10.46/10.67 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('2140', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['2135', '2136', '2137'])). 10.46/10.67 tff('2141', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup+', [status(thm)], ['274', '275'])). 10.46/10.67 tff('2142', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.46/10.67 inference('sup-', [status(thm)], ['2140', '2141'])). 10.46/10.67 tff('2143', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('sup+', [status(thm)], ['2139', '2142'])). 10.46/10.67 tff('2144', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['2143'])). 10.46/10.67 tff('2145', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['2138', '2144'])). 10.46/10.67 tff('2146', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['2145'])). 10.46/10.67 tff('2147', plain, 10.46/10.67 subpopulations(first_movers, efficient_producers, sk_E, 10.46/10.67 sk_T(sk_To(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['12', '13', '14'])). 10.46/10.67 tff('2148', plain, 10.46/10.67 ( subpopulations(first_movers, efficient_producers, sk_E, sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('sup+', [status(thm)], ['2146', '2147'])). 10.46/10.67 tff('2149', plain, 10.46/10.67 ![X1, X2]: 10.46/10.67 (~ environment(X1) 10.46/10.67 | ~ greater_or_equal(X2, equilibrium(X1)) 10.46/10.67 | ~ subpopulations(first_movers, efficient_producers, X1, X2) 10.46/10.67 | zip_tseitin_2(X2) 10.46/10.67 | zip_tseitin_1(X2) 10.46/10.67 | zip_tseitin_0(X2)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_7])). 10.46/10.67 tff('2150', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | ~ greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.67 | ~ environment(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['2148', '2149'])). 10.46/10.67 tff('2151', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2152', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | ~ greater_or_equal(sk_To(sk_E), equilibrium(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['2150', '2151'])). 10.46/10.67 tff('2153', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater_or_equal(equilibrium(sk_E), sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2095', '2152'])). 10.46/10.67 tff('2154', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | greater_or_equal(equilibrium(sk_E), sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['2153'])). 10.46/10.67 tff('2155', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.67 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.67 | ~ greater_or_equal(equilibrium(sk_E), sk_To(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['2105', '2106', '2107'])). 10.46/10.67 tff('2156', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.67 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['2154', '2155'])). 10.46/10.67 tff('2157', plain, 10.46/10.67 ( greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.67 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['2156'])). 10.46/10.67 tff('2158', plain, 10.46/10.67 ![X0, X1]: 10.46/10.67 (~ zip_tseitin_2(X0) 10.46/10.67 | greater(zero, X1) 10.46/10.67 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.46/10.67 inference('sup-', [status(thm)], ['76', '77'])). 10.46/10.67 tff('2159', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.67 | ~ zip_tseitin_2(equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2157', '2158'])). 10.46/10.67 tff('2160', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['2094', '2159'])). 10.46/10.67 tff('2161', plain, 10.46/10.67 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | greater(zero, growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2160'])). 10.46/10.67 tff('2162', plain, 10.46/10.67 ![X13, X14, X15]: 10.46/10.67 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.46/10.67 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.46/10.67 tff('2163', plain, 10.46/10.67 ![X0]: 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | greater(zero, X0) 10.46/10.67 | ~ greater(growth_rate(first_movers, equilibrium(sk_E)), X0)), 10.46/10.67 inference('sup-', [status(thm)], ['2161', '2162'])). 10.46/10.67 tff('2164', plain, 10.46/10.67 (~ zip_tseitin_2(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2093', '2163'])). 10.46/10.67 tff('2165', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_2(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2164'])). 10.46/10.67 tff('2166', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2092', '2165'])). 10.46/10.67 tff('2167', plain, 10.46/10.67 ( zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2166'])). 10.46/10.67 tff('2168', plain, 10.46/10.67 ( zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2166'])). 10.46/10.67 tff('2169', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['2145'])). 10.46/10.67 tff('2170', plain, 10.46/10.67 ![X0]: 10.46/10.67 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_2])). 10.46/10.67 tff('2171', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['2145'])). 10.46/10.67 tff('2172', plain, 10.46/10.67 greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), 10.46/10.67 growth_rate(first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['133', '134', '135', '136'])). 10.46/10.67 tff('2173', plain, 10.46/10.67 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.46/10.67 growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('sup+', [status(thm)], ['2171', '2172'])). 10.46/10.67 tff('2174', plain, 10.46/10.67 ![X13, X14, X15]: 10.46/10.67 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.46/10.67 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.46/10.67 tff('2175', plain, 10.46/10.67 ![X0]: 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_To(sk_E)), X0) 10.46/10.67 | ~ greater(growth_rate(first_movers, sk_T(sk_To(sk_E))), X0)), 10.46/10.67 inference('sup-', [status(thm)], ['2173', '2174'])). 10.46/10.67 tff('2176', plain, 10.46/10.67 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2170', '2175'])). 10.46/10.67 tff('2177', plain, 10.46/10.67 (~ zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero)), 10.46/10.67 inference('sup-', [status(thm)], ['2169', '2176'])). 10.46/10.67 tff('2178', plain, 10.46/10.67 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | ~ zip_tseitin_2(sk_To(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2177'])). 10.46/10.67 tff('2179', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero)), 10.46/10.67 inference('sup-', [status(thm)], ['2168', '2178'])). 10.46/10.67 tff('2180', plain, 10.46/10.67 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2179'])). 10.46/10.67 tff('2181', plain, 10.46/10.67 ![X0, X1]: 10.46/10.67 (~ zip_tseitin_2(X0) 10.46/10.67 | greater(zero, X1) 10.46/10.67 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.46/10.67 inference('sup-', [status(thm)], ['76', '77'])). 10.46/10.67 tff('2182', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_2(sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2180', '2181'])). 10.46/10.67 tff('2183', plain, 10.46/10.67 (~ zip_tseitin_2(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2182'])). 10.46/10.67 tff('2184', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2167', '2183'])). 10.46/10.67 tff('2185', plain, 10.46/10.67 ( zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2184'])). 10.46/10.67 tff('2186', plain, 10.46/10.67 ( subpopulations(first_movers, efficient_producers, sk_E, sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('sup+', [status(thm)], ['2146', '2147'])). 10.46/10.67 tff('2187', plain, 10.46/10.67 ![X0, X1]: 10.46/10.67 ( outcompetes(efficient_producers, first_movers, X0) 10.46/10.67 | ~ subpopulations(first_movers, efficient_producers, X1, X0) 10.46/10.67 | ~ environment(X1) 10.46/10.67 | ~ zip_tseitin_1(X0)), 10.46/10.67 inference('simplify', [status(thm)], ['170'])). 10.46/10.67 tff('2188', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | ~ zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2186', '2187'])). 10.46/10.67 tff('2189', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2190', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | ~ zip_tseitin_1(sk_To(sk_E)) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_To(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['2188', '2189'])). 10.46/10.67 tff('2191', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2185', '2190'])). 10.46/10.67 tff('2192', plain, 10.46/10.67 ( outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2191'])). 10.46/10.67 tff('2193', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['2145'])). 10.46/10.67 tff('2194', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2195', plain, 10.46/10.67 (~ outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2193', '2194'])). 10.46/10.67 tff('2196', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | ~ in_environment(sk_E, sk_To(sk_E)) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['2192', '2195'])). 10.46/10.67 tff('2197', plain, 10.46/10.67 (~ in_environment(sk_E, sk_To(sk_E)) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('simplify', [status(thm)], ['2196'])). 10.46/10.67 tff('2198', plain, 10.46/10.67 (~ stable(sk_E) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['1990', '2197'])). 10.46/10.67 tff('2199', plain, stable(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2200', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2201', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['2198', '2199', '2200'])). 10.46/10.67 tff('2202', plain, 10.46/10.67 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('2203', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_To(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['2198', '2199', '2200'])). 10.46/10.67 tff('2204', plain, 10.46/10.67 ![X0]: 10.46/10.67 (growth_rate(efficient_producers, X0) = zero | ~ zip_tseitin_0(X0)), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.67 tff('2205', plain, 10.46/10.67 ( subpopulations(first_movers, efficient_producers, sk_E, sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('sup+', [status(thm)], ['2146', '2147'])). 10.46/10.67 tff('2206', plain, 10.46/10.67 ![X3, X4]: 10.46/10.67 (~ subpopulations(first_movers, efficient_producers, X3, X4) 10.46/10.67 | ~ greater_or_equal(X4, sk_To(X3)) 10.46/10.67 | greater(growth_rate(efficient_producers, X4), 10.46/10.67 growth_rate(first_movers, X4)) 10.46/10.67 | ~ environment(X3) 10.46/10.67 | ~ stable(X3)), 10.46/10.67 inference('cnf', [status(esa)], [l1])). 10.46/10.67 tff('2207', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | ~ stable(sk_E) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.46/10.67 growth_rate(first_movers, sk_To(sk_E))) 10.46/10.67 | ~ greater_or_equal(sk_To(sk_E), sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2205', '2206'])). 10.46/10.67 tff('2208', plain, stable(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2209', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2210', plain, ![X17]: greater_or_equal(X17, X17), 10.46/10.67 inference('simplify', [status(thm)], ['737'])). 10.46/10.67 tff('2211', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.46/10.67 growth_rate(first_movers, sk_To(sk_E)))), 10.46/10.67 inference('demod', [status(thm)], ['2207', '2208', '2209', '2210'])). 10.46/10.67 tff('2212', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.46/10.67 | ~ zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('sup+', [status(thm)], ['2204', '2211'])). 10.46/10.67 tff('2213', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, growth_rate(first_movers, sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['2203', '2212'])). 10.46/10.67 tff('2214', plain, 10.46/10.67 ( greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['2213'])). 10.46/10.67 tff('2215', plain, 10.46/10.67 ( greater(zero, zero) 10.46/10.67 | ~ zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('sup+', [status(thm)], ['2202', '2214'])). 10.46/10.67 tff('2216', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | ~ zip_tseitin_0(sk_To(sk_E)) 10.46/10.67 | greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['2215'])). 10.46/10.67 tff('2217', plain, 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2201', '2216'])). 10.46/10.67 tff('2218', plain, 10.46/10.67 ( zip_tseitin_0(equilibrium(sk_E)) 10.46/10.67 | greater(zero, zero) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['2217'])). 10.46/10.67 tff('2219', plain, (sk_To(sk_E) = equilibrium(sk_E) | greater(zero, zero)), 10.46/10.67 inference('clc', [status(thm)], ['1989', '2218'])). 10.46/10.67 tff('2220', plain, 10.46/10.67 ![X0, X1]: 10.46/10.67 ( outcompetes(efficient_producers, first_movers, X0) 10.46/10.67 | ~ subpopulations(first_movers, efficient_producers, X1, X0) 10.46/10.67 | ~ environment(X1) 10.46/10.67 | ~ zip_tseitin_0(X0) 10.46/10.67 | ~ greater(zero, zero)), 10.46/10.67 inference('simplify', [status(thm)], ['828'])). 10.46/10.67 tff('2221', plain, 10.46/10.67 ![X0, X1]: 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | ~ zip_tseitin_0(X0) 10.46/10.67 | ~ environment(X1) 10.46/10.67 | ~ subpopulations(first_movers, efficient_producers, X1, X0) 10.46/10.67 | outcompetes(efficient_producers, first_movers, X0)), 10.46/10.67 inference('sup-', [status(thm)], ['2219', '2220'])). 10.46/10.67 tff('2222', plain, 10.46/10.67 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['1700', '2221'])). 10.46/10.67 tff('2223', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2224', plain, 10.46/10.67 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.46/10.67 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['2222', '2223'])). 10.46/10.67 tff('2225', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['1699', '2224'])). 10.46/10.67 tff('2226', plain, 10.46/10.67 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['2225'])). 10.46/10.67 tff('2227', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2228', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2226', '2227'])). 10.46/10.67 tff('2229', plain, 10.46/10.67 (~ stable(sk_E) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['1605', '2228'])). 10.46/10.67 tff('2230', plain, stable(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2231', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2232', plain, 10.46/10.67 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['2229', '2230', '2231'])). 10.46/10.67 tff('2233', plain, 10.46/10.67 subpopulations(first_movers, efficient_producers, sk_E, 10.46/10.67 sk_T(equilibrium(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['5', '1585'])). 10.46/10.67 tff('2234', plain, 10.46/10.67 ![X0, X1]: 10.46/10.67 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | ~ zip_tseitin_0(X0) 10.46/10.67 | ~ environment(X1) 10.46/10.67 | ~ subpopulations(first_movers, efficient_producers, X1, X0) 10.46/10.67 | outcompetes(efficient_producers, first_movers, X0)), 10.46/10.67 inference('sup-', [status(thm)], ['2219', '2220'])). 10.46/10.67 tff('2235', plain, 10.46/10.67 ( outcompetes(efficient_producers, first_movers, sk_T(equilibrium(sk_E))) 10.46/10.67 | ~ environment(sk_E) 10.46/10.67 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('sup-', [status(thm)], ['2233', '2234'])). 10.46/10.67 tff('2236', plain, environment(sk_E), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2237', plain, 10.46/10.67 ( outcompetes(efficient_producers, first_movers, sk_T(equilibrium(sk_E))) 10.46/10.67 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['2235', '2236'])). 10.46/10.67 tff('2238', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | outcompetes(efficient_producers, first_movers, 10.46/10.67 sk_T(equilibrium(sk_E)))), 10.46/10.67 inference('sup-', [status(thm)], ['2232', '2237'])). 10.46/10.67 tff('2239', plain, 10.46/10.67 ( outcompetes(efficient_producers, first_movers, sk_T(equilibrium(sk_E))) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('simplify', [status(thm)], ['2238'])). 10.46/10.67 tff('2240', plain, 10.46/10.67 ![X12]: 10.46/10.67 (~ in_environment(sk_E, X12) 10.46/10.67 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.67 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.67 tff('2241', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.67 | ~ in_environment(sk_E, equilibrium(sk_E))), 10.46/10.67 inference('sup-', [status(thm)], ['2239', '2240'])). 10.46/10.67 tff('2242', plain, in_environment(sk_E, equilibrium(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['1649', '1650', '1651'])). 10.46/10.67 tff('2243', plain, 10.46/10.67 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.67 inference('demod', [status(thm)], ['2241', '2242'])). 10.46/10.67 tff('2244', plain, 10.46/10.67 subpopulations(first_movers, efficient_producers, sk_E, 10.46/10.67 sk_T(sk_To(sk_E))), 10.46/10.67 inference('demod', [status(thm)], ['12', '13', '14'])). 10.46/10.67 tff('2245', plain, 10.46/10.67 ( subpopulations(first_movers, efficient_producers, sk_E, sk_To(sk_E)) 10.46/10.67 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.67 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.67 inference('sup+', [status(thm)], ['2243', '2244'])). 10.46/10.67 tff('2246', plain, 10.46/10.67 ![X3]: 10.46/10.67 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.67 inference('cnf', [status(esa)], [l1])). 10.46/10.67 tff('2247', plain, 10.46/10.67 ![X3]: 10.46/10.67 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.68 inference('cnf', [status(esa)], [l1])). 10.46/10.68 tff('2248', plain, 10.46/10.68 ![X3]: 10.46/10.68 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.68 inference('cnf', [status(esa)], [l1])). 10.46/10.68 tff('2249', plain, 10.46/10.68 ![X3]: 10.46/10.68 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.68 inference('cnf', [status(esa)], [l1])). 10.46/10.68 tff('2250', plain, 10.46/10.68 ![X3]: 10.46/10.68 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.68 inference('cnf', [status(esa)], [l1])). 10.46/10.68 tff('2251', plain, 10.46/10.68 subpopulations(first_movers, efficient_producers, sk_E, 10.46/10.68 sk_T(sk_To(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['12', '13', '14'])). 10.46/10.68 tff('2252', plain, 10.46/10.68 ![X3]: 10.46/10.68 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.68 inference('cnf', [status(esa)], [l1])). 10.46/10.68 tff('2253', plain, 10.46/10.68 ![X3]: 10.46/10.68 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.68 inference('cnf', [status(esa)], [l1])). 10.46/10.68 tff('2254', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2241', '2242'])). 10.46/10.68 tff('2255', plain, 10.46/10.68 ( zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['1646', '1652'])). 10.46/10.68 tff('2256', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2241', '2242'])). 10.46/10.68 tff('2257', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['127', '128'])). 10.46/10.68 tff('2258', plain, 10.46/10.68 (~ greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2256', '2257'])). 10.46/10.68 tff('2259', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2255', '2258'])). 10.46/10.68 tff('2260', plain, 10.46/10.68 ( zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2259'])). 10.46/10.68 tff('2261', plain, 10.46/10.68 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup+', [status(thm)], ['2254', '2260'])). 10.46/10.68 tff('2262', plain, 10.46/10.68 ( zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E))), 10.46/10.68 inference('simplify', [status(thm)], ['2261'])). 10.46/10.68 tff('2263', plain, 10.46/10.68 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['184', '185'])). 10.46/10.68 tff('2264', plain, 10.46/10.68 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2262', '2263'])). 10.46/10.68 tff('2265', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2266', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2264', '2265'])). 10.46/10.68 tff('2267', plain, 10.46/10.68 (~ stable(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2253', '2266'])). 10.46/10.68 tff('2268', plain, stable(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2269', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2270', plain, 10.46/10.68 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['2267', '2268', '2269'])). 10.46/10.68 tff('2271', plain, 10.46/10.68 (~ zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, first_movers, 10.46/10.68 sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['1691', '1692', '1693'])). 10.46/10.68 tff('2272', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | outcompetes(efficient_producers, first_movers, 10.46/10.68 sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2270', '2271'])). 10.46/10.68 tff('2273', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2274', plain, 10.46/10.68 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | ~ in_environment(sk_E, equilibrium(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2272', '2273'])). 10.46/10.68 tff('2275', plain, in_environment(sk_E, equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['1649', '1650', '1651'])). 10.46/10.68 tff('2276', plain, 10.46/10.68 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['2274', '2275'])). 10.46/10.68 tff('2277', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.46/10.68 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2222', '2223'])). 10.46/10.68 tff('2278', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2276', '2277'])). 10.46/10.68 tff('2279', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('simplify', [status(thm)], ['2278'])). 10.46/10.68 tff('2280', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2281', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2279', '2280'])). 10.46/10.68 tff('2282', plain, 10.46/10.68 (~ stable(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2252', '2281'])). 10.46/10.68 tff('2283', plain, stable(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2284', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2285', plain, 10.46/10.68 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['2282', '2283', '2284'])). 10.46/10.68 tff('2286', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_T(equilibrium(sk_E))) 10.46/10.68 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2235', '2236'])). 10.46/10.68 tff('2287', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, 10.46/10.68 sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2285', '2286'])). 10.46/10.68 tff('2288', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2287'])). 10.46/10.68 tff('2289', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2290', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | ~ in_environment(sk_E, equilibrium(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2288', '2289'])). 10.46/10.68 tff('2291', plain, in_environment(sk_E, equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['1649', '1650', '1651'])). 10.46/10.68 tff('2292', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['2290', '2291'])). 10.46/10.68 tff('2293', plain, 10.46/10.68 subpopulations(first_movers, efficient_producers, sk_E, 10.46/10.68 sk_T(equilibrium(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['5', '1585'])). 10.46/10.68 tff('2294', plain, 10.46/10.68 ( subpopulations(first_movers, efficient_producers, sk_E, 10.46/10.68 equilibrium(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup+', [status(thm)], ['2292', '2293'])). 10.46/10.68 tff('2295', plain, 10.46/10.68 ![X3]: 10.46/10.68 ( in_environment(X3, sk_To(X3)) | ~ environment(X3) | ~ stable(X3)), 10.46/10.68 inference('cnf', [status(esa)], [l1])). 10.46/10.68 tff('2296', plain, 10.46/10.68 ( subpopulations(first_movers, efficient_producers, sk_E, sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.68 inference('sup+', [status(thm)], ['2243', '2244'])). 10.46/10.68 tff('2297', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['2290', '2291'])). 10.46/10.68 tff('2298', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['1592', '1596'])). 10.46/10.68 tff('2299', plain, 10.46/10.68 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('sup+', [status(thm)], ['2297', '2298'])). 10.46/10.68 tff('2300', plain, 10.46/10.68 (~ zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, first_movers, 10.46/10.68 sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['1691', '1692', '1693'])). 10.46/10.68 tff('2301', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | outcompetes(efficient_producers, first_movers, 10.46/10.68 sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2299', '2300'])). 10.46/10.68 tff('2302', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2303', plain, 10.46/10.68 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | ~ in_environment(sk_E, equilibrium(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2301', '2302'])). 10.46/10.68 tff('2304', plain, in_environment(sk_E, equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['1649', '1650', '1651'])). 10.46/10.68 tff('2305', plain, 10.46/10.68 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['2303', '2304'])). 10.46/10.68 tff('2306', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_T(equilibrium(sk_E))) 10.46/10.68 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2235', '2236'])). 10.46/10.68 tff('2307', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, 10.46/10.68 sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2305', '2306'])). 10.46/10.68 tff('2308', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2307'])). 10.46/10.68 tff('2309', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2310', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | ~ in_environment(sk_E, equilibrium(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2308', '2309'])). 10.46/10.68 tff('2311', plain, in_environment(sk_E, equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['1649', '1650', '1651'])). 10.46/10.68 tff('2312', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['2310', '2311'])). 10.46/10.68 tff('2313', plain, 10.46/10.68 ( subpopulations(first_movers, efficient_producers, sk_E, sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.68 inference('sup+', [status(thm)], ['2243', '2244'])). 10.46/10.68 tff('2314', plain, 10.46/10.68 ![X3, X4]: 10.46/10.68 (~ subpopulations(first_movers, efficient_producers, X3, X4) 10.46/10.68 | ~ greater_or_equal(X4, sk_To(X3)) 10.46/10.68 | greater(growth_rate(efficient_producers, X4), 10.46/10.68 growth_rate(first_movers, X4)) 10.46/10.68 | ~ environment(X3) 10.46/10.68 | ~ stable(X3)), 10.46/10.68 inference('cnf', [status(esa)], [l1])). 10.46/10.68 tff('2315', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ stable(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.46/10.68 growth_rate(first_movers, sk_To(sk_E))) 10.46/10.68 | ~ greater_or_equal(sk_To(sk_E), sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2313', '2314'])). 10.46/10.68 tff('2316', plain, stable(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2317', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2318', plain, ![X17]: greater_or_equal(X17, X17), 10.46/10.68 inference('simplify', [status(thm)], ['737'])). 10.46/10.68 tff('2319', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.46/10.68 growth_rate(first_movers, sk_To(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['2315', '2316', '2317', '2318'])). 10.46/10.68 tff('2320', plain, 10.46/10.68 ![X0, X1]: 10.46/10.68 (~ zip_tseitin_2(X0) 10.46/10.68 | greater(zero, X1) 10.46/10.68 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.46/10.68 inference('sup-', [status(thm)], ['76', '77'])). 10.46/10.68 tff('2321', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.46/10.68 | ~ zip_tseitin_2(sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2319', '2320'])). 10.46/10.68 tff('2322', plain, 10.46/10.68 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2312', '2321'])). 10.46/10.68 tff('2323', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E))), 10.46/10.68 inference('simplify', [status(thm)], ['2322'])). 10.46/10.68 tff('2324', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['2310', '2311'])). 10.46/10.68 tff('2325', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2241', '2242'])). 10.46/10.68 tff('2326', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_2])). 10.46/10.68 tff('2327', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2241', '2242'])). 10.46/10.68 tff('2328', plain, 10.46/10.68 greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), 10.46/10.68 growth_rate(first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['133', '134', '135', '136'])). 10.46/10.68 tff('2329', plain, 10.46/10.68 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.46/10.68 growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.68 inference('sup+', [status(thm)], ['2327', '2328'])). 10.46/10.68 tff('2330', plain, 10.46/10.68 ![X13, X14, X15]: 10.46/10.68 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.46/10.68 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.46/10.68 tff('2331', plain, 10.46/10.68 ![X0]: 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_To(sk_E)), X0) 10.46/10.68 | ~ greater(growth_rate(first_movers, sk_T(sk_To(sk_E))), X0)), 10.46/10.68 inference('sup-', [status(thm)], ['2329', '2330'])). 10.46/10.68 tff('2332', plain, 10.46/10.68 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2326', '2331'])). 10.46/10.68 tff('2333', plain, 10.46/10.68 (~ zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['2325', '2332'])). 10.46/10.68 tff('2334', plain, 10.46/10.68 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ zip_tseitin_2(sk_To(sk_E))), 10.46/10.68 inference('simplify', [status(thm)], ['2333'])). 10.46/10.68 tff('2335', plain, 10.46/10.68 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['2324', '2334'])). 10.46/10.68 tff('2336', plain, 10.46/10.68 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E))), 10.46/10.68 inference('simplify', [status(thm)], ['2335'])). 10.46/10.68 tff('2337', plain, 10.46/10.68 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.46/10.68 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.46/10.68 tff('2338', plain, 10.46/10.68 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | greater_or_equal(growth_rate(efficient_producers, sk_To(sk_E)), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['2336', '2337'])). 10.46/10.68 tff('2339', plain, 10.46/10.68 ![X8, X9, X10, X11]: 10.46/10.68 (~ environment(X8) 10.46/10.68 | ~ subpopulations(X9, X10, X8, X11) 10.46/10.68 | outcompetes(X10, X9, X11) 10.46/10.68 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.46/10.68 | ~ greater(zero, growth_rate(X9, X11))), 10.46/10.68 inference('cnf', [status(esa)], [d2])). 10.46/10.68 tff('2340', plain, 10.46/10.68 ![X0, X1]: 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | ~ greater(zero, growth_rate(X0, sk_To(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, X0, sk_To(sk_E)) 10.46/10.68 | ~ subpopulations(X0, efficient_producers, X1, sk_To(sk_E)) 10.46/10.68 | ~ environment(X1)), 10.46/10.68 inference('sup-', [status(thm)], ['2338', '2339'])). 10.46/10.68 tff('2341', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | ~ environment(X0) 10.46/10.68 | ~ subpopulations(first_movers, efficient_producers, X0, sk_To(sk_E)) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2323', '2340'])). 10.46/10.68 tff('2342', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.46/10.68 | ~ subpopulations(first_movers, efficient_producers, X0, sk_To(sk_E)) 10.46/10.68 | ~ environment(X0) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E))), 10.46/10.68 inference('simplify', [status(thm)], ['2341'])). 10.46/10.68 tff('2343', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2296', '2342'])). 10.46/10.68 tff('2344', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2345', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_To(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['2343', '2344'])). 10.46/10.68 tff('2346', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2345'])). 10.46/10.68 tff('2347', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2241', '2242'])). 10.46/10.68 tff('2348', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2349', plain, 10.46/10.68 (~ outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2347', '2348'])). 10.46/10.68 tff('2350', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | ~ in_environment(sk_E, sk_To(sk_E)) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2346', '2349'])). 10.46/10.68 tff('2351', plain, 10.46/10.68 (~ in_environment(sk_E, sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2350'])). 10.46/10.68 tff('2352', plain, 10.46/10.68 (~ stable(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2295', '2351'])). 10.46/10.68 tff('2353', plain, stable(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2354', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2355', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['2352', '2353', '2354'])). 10.46/10.68 tff('2356', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['1592', '1596'])). 10.46/10.68 tff('2357', plain, 10.46/10.68 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('sup+', [status(thm)], ['2355', '2356'])). 10.46/10.68 tff('2358', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E))), 10.46/10.68 inference('simplify', [status(thm)], ['2357'])). 10.46/10.68 tff('2359', plain, 10.46/10.68 (~ zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, first_movers, 10.46/10.68 sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['1691', '1692', '1693'])). 10.46/10.68 tff('2360', plain, 10.46/10.68 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, first_movers, 10.46/10.68 sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2358', '2359'])). 10.46/10.68 tff('2361', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2362', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | ~ in_environment(sk_E, equilibrium(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2360', '2361'])). 10.46/10.68 tff('2363', plain, in_environment(sk_E, equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['1649', '1650', '1651'])). 10.46/10.68 tff('2364', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['2362', '2363'])). 10.46/10.68 tff('2365', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_T(equilibrium(sk_E))) 10.46/10.68 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2235', '2236'])). 10.46/10.68 tff('2366', plain, 10.46/10.68 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, 10.46/10.68 sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2364', '2365'])). 10.46/10.68 tff('2367', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_T(equilibrium(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(equilibrium(sk_E))), 10.46/10.68 inference('simplify', [status(thm)], ['2366'])). 10.46/10.68 tff('2368', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2369', plain, 10.46/10.68 ( zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ in_environment(sk_E, equilibrium(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2367', '2368'])). 10.46/10.68 tff('2370', plain, in_environment(sk_E, equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['1649', '1650', '1651'])). 10.46/10.68 tff('2371', plain, 10.46/10.68 ( zip_tseitin_2(equilibrium(sk_E)) | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2369', '2370'])). 10.46/10.68 tff('2372', plain, 10.46/10.68 ( greater_or_equal(equilibrium(sk_E), sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['1877', '1878'])). 10.46/10.68 tff('2373', plain, 10.46/10.68 ( subpopulations(first_movers, efficient_producers, sk_E, 10.46/10.68 equilibrium(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup+', [status(thm)], ['2292', '2293'])). 10.46/10.68 tff('2374', plain, 10.46/10.68 ![X3, X4]: 10.46/10.68 (~ subpopulations(first_movers, efficient_producers, X3, X4) 10.46/10.68 | ~ greater_or_equal(X4, sk_To(X3)) 10.46/10.68 | greater(growth_rate(efficient_producers, X4), 10.46/10.68 growth_rate(first_movers, X4)) 10.46/10.68 | ~ environment(X3) 10.46/10.68 | ~ stable(X3)), 10.46/10.68 inference('cnf', [status(esa)], [l1])). 10.46/10.68 tff('2375', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | ~ stable(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.68 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | ~ greater_or_equal(equilibrium(sk_E), sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2373', '2374'])). 10.46/10.68 tff('2376', plain, stable(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2377', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2378', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.68 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | ~ greater_or_equal(equilibrium(sk_E), sk_To(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['2375', '2376', '2377'])). 10.46/10.68 tff('2379', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.68 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2372', '2378'])). 10.46/10.68 tff('2380', plain, 10.46/10.68 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.68 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('simplify', [status(thm)], ['2379'])). 10.46/10.68 tff('2381', plain, 10.46/10.68 ![X0, X1]: 10.46/10.68 (~ zip_tseitin_2(X0) 10.46/10.68 | greater(zero, X1) 10.46/10.68 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.46/10.68 inference('sup-', [status(thm)], ['76', '77'])). 10.46/10.68 tff('2382', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | greater(zero, growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | ~ zip_tseitin_2(equilibrium(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2380', '2381'])). 10.46/10.68 tff('2383', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(zero, growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2371', '2382'])). 10.46/10.68 tff('2384', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | greater(zero, growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2383'])). 10.46/10.68 tff('2385', plain, 10.46/10.68 ( zip_tseitin_2(equilibrium(sk_E)) | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2369', '2370'])). 10.46/10.68 tff('2386', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_2])). 10.46/10.68 tff('2387', plain, 10.46/10.68 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.68 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('simplify', [status(thm)], ['2379'])). 10.46/10.68 tff('2388', plain, 10.46/10.68 ![X13, X14, X15]: 10.46/10.68 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.46/10.68 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.46/10.68 tff('2389', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), X0) 10.46/10.68 | ~ greater(growth_rate(first_movers, equilibrium(sk_E)), X0)), 10.46/10.68 inference('sup-', [status(thm)], ['2387', '2388'])). 10.46/10.68 tff('2390', plain, 10.46/10.68 (~ zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), zero) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2386', '2389'])). 10.46/10.68 tff('2391', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['2385', '2390'])). 10.46/10.68 tff('2392', plain, 10.46/10.68 ( greater(growth_rate(efficient_producers, equilibrium(sk_E)), zero) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2391'])). 10.46/10.68 tff('2393', plain, 10.46/10.68 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.46/10.68 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.46/10.68 tff('2394', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | greater_or_equal( 10.46/10.68 growth_rate(efficient_producers, equilibrium(sk_E)), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['2392', '2393'])). 10.46/10.68 tff('2395', plain, 10.46/10.68 ![X8, X9, X10, X11]: 10.46/10.68 (~ environment(X8) 10.46/10.68 | ~ subpopulations(X9, X10, X8, X11) 10.46/10.68 | outcompetes(X10, X9, X11) 10.46/10.68 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.46/10.68 | ~ greater(zero, growth_rate(X9, X11))), 10.46/10.68 inference('cnf', [status(esa)], [d2])). 10.46/10.68 tff('2396', plain, 10.46/10.68 ![X0, X1]: 10.46/10.68 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ greater(zero, growth_rate(X0, equilibrium(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, X0, equilibrium(sk_E)) 10.46/10.68 | ~ subpopulations(X0, efficient_producers, X1, equilibrium(sk_E)) 10.46/10.68 | ~ environment(X1)), 10.46/10.68 inference('sup-', [status(thm)], ['2394', '2395'])). 10.46/10.68 tff('2397', plain, 10.46/10.68 ![X0]: 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | ~ environment(X0) 10.46/10.68 | ~ subpopulations(first_movers, efficient_producers, X0, 10.46/10.68 equilibrium(sk_E)) 10.46/10.68 | outcompetes(efficient_producers, first_movers, equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2384', '2396'])). 10.46/10.68 tff('2398', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( outcompetes(efficient_producers, first_movers, equilibrium(sk_E)) 10.46/10.68 | ~ subpopulations(first_movers, efficient_producers, X0, 10.46/10.68 equilibrium(sk_E)) 10.46/10.68 | ~ environment(X0) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2397'])). 10.46/10.68 tff('2399', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, equilibrium(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2294', '2398'])). 10.46/10.68 tff('2400', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2401', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, first_movers, equilibrium(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['2399', '2400'])). 10.46/10.68 tff('2402', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, equilibrium(sk_E)) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2401'])). 10.46/10.68 tff('2403', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['2290', '2291'])). 10.46/10.68 tff('2404', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2405', plain, 10.46/10.68 (~ outcompetes(efficient_producers, first_movers, equilibrium(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ in_environment(sk_E, equilibrium(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2403', '2404'])). 10.46/10.68 tff('2406', plain, in_environment(sk_E, equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['1649', '1650', '1651'])). 10.46/10.68 tff('2407', plain, 10.46/10.68 (~ outcompetes(efficient_producers, first_movers, equilibrium(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2405', '2406'])). 10.46/10.68 tff('2408', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2402', '2407'])). 10.46/10.68 tff('2409', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2408'])). 10.46/10.68 tff('2410', plain, 10.46/10.68 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.68 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['137', '138'])). 10.46/10.68 tff('2411', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.46/10.68 inference('sup-', [status(thm)], ['2409', '2410'])). 10.46/10.68 tff('2412', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2408'])). 10.46/10.68 tff('2413', plain, 10.46/10.68 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['142', '145'])). 10.46/10.68 tff('2414', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['2412', '2413'])). 10.46/10.68 tff('2415', plain, 10.46/10.68 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.46/10.68 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.46/10.68 tff('2416', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater_or_equal( 10.46/10.68 growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['2414', '2415'])). 10.46/10.68 tff('2417', plain, 10.46/10.68 ![X8, X9, X10, X11]: 10.46/10.68 (~ environment(X8) 10.46/10.68 | ~ subpopulations(X9, X10, X8, X11) 10.46/10.68 | outcompetes(X10, X9, X11) 10.46/10.68 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.46/10.68 | ~ greater(zero, growth_rate(X9, X11))), 10.46/10.68 inference('cnf', [status(esa)], [d2])). 10.46/10.68 tff('2418', plain, 10.46/10.68 ![X0, X1]: 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | ~ greater(zero, growth_rate(X0, sk_T(sk_To(sk_E)))) 10.46/10.68 | outcompetes(efficient_producers, X0, sk_T(sk_To(sk_E))) 10.46/10.68 | ~ subpopulations(X0, efficient_producers, X1, sk_T(sk_To(sk_E))) 10.46/10.68 | ~ environment(X1)), 10.46/10.68 inference('sup-', [status(thm)], ['2416', '2417'])). 10.46/10.68 tff('2419', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ environment(X0) 10.46/10.68 | ~ subpopulations(first_movers, efficient_producers, X0, 10.46/10.68 sk_T(sk_To(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2411', '2418'])). 10.46/10.68 tff('2420', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.46/10.68 | ~ subpopulations(first_movers, efficient_producers, X0, 10.46/10.68 sk_T(sk_To(sk_E))) 10.46/10.68 | ~ environment(X0) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('simplify', [status(thm)], ['2419'])). 10.46/10.68 tff('2421', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2251', '2420'])). 10.46/10.68 tff('2422', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2423', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['2421', '2422'])). 10.46/10.68 tff('2424', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2425', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2423', '2424'])). 10.46/10.68 tff('2426', plain, 10.46/10.68 (~ stable(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2250', '2425'])). 10.46/10.68 tff('2427', plain, stable(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2428', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2429', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2426', '2427', '2428'])). 10.46/10.68 tff('2430', plain, 10.46/10.68 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['184', '185'])). 10.46/10.68 tff('2431', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2429', '2430'])). 10.46/10.68 tff('2432', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2433', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2431', '2432'])). 10.46/10.68 tff('2434', plain, 10.46/10.68 (~ stable(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2249', '2433'])). 10.46/10.68 tff('2435', plain, stable(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2436', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2437', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['2434', '2435', '2436'])). 10.46/10.68 tff('2438', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.46/10.68 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2222', '2223'])). 10.46/10.68 tff('2439', plain, 10.46/10.68 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2437', '2438'])). 10.46/10.68 tff('2440', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2439'])). 10.46/10.68 tff('2441', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2442', plain, 10.46/10.68 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2440', '2441'])). 10.46/10.68 tff('2443', plain, 10.46/10.68 (~ stable(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2248', '2442'])). 10.46/10.68 tff('2444', plain, stable(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2445', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2446', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2443', '2444', '2445'])). 10.46/10.68 tff('2447', plain, 10.46/10.68 ( subpopulations(first_movers, efficient_producers, sk_E, 10.46/10.68 equilibrium(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup+', [status(thm)], ['2292', '2293'])). 10.46/10.68 tff('2448', plain, 10.46/10.68 ( zip_tseitin_2(equilibrium(sk_E)) | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2369', '2370'])). 10.46/10.68 tff('2449', plain, 10.46/10.68 ( greater_or_equal(equilibrium(sk_E), sk_To(sk_E)) 10.46/10.68 | greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], 10.46/10.68 ['1928', '1929', '1930', '1931', '1932'])). 10.46/10.68 tff('2450', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2443', '2444', '2445'])). 10.46/10.68 tff('2451', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | ~ greater_or_equal(sk_T(sk_To(sk_E)), equilibrium(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['127', '128'])). 10.46/10.68 tff('2452', plain, 10.46/10.68 (~ greater_or_equal(sk_To(sk_E), equilibrium(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2450', '2451'])). 10.46/10.68 tff('2453', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater_or_equal(equilibrium(sk_E), sk_To(sk_E)) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2449', '2452'])). 10.46/10.68 tff('2454', plain, 10.46/10.68 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | greater_or_equal(equilibrium(sk_E), sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2453'])). 10.46/10.68 tff('2455', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.68 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | ~ greater_or_equal(equilibrium(sk_E), sk_To(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['2375', '2376', '2377'])). 10.46/10.68 tff('2456', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.68 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2454', '2455'])). 10.46/10.68 tff('2457', plain, 10.46/10.68 ( greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.68 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2456'])). 10.46/10.68 tff('2458', plain, 10.46/10.68 ![X0, X1]: 10.46/10.68 (~ zip_tseitin_2(X0) 10.46/10.68 | greater(zero, X1) 10.46/10.68 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.46/10.68 inference('sup-', [status(thm)], ['76', '77'])). 10.46/10.68 tff('2459', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | greater(zero, growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | ~ zip_tseitin_2(equilibrium(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2457', '2458'])). 10.46/10.68 tff('2460', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(zero, growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2448', '2459'])). 10.46/10.68 tff('2461', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | greater(zero, growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2460'])). 10.46/10.68 tff('2462', plain, 10.46/10.68 ( zip_tseitin_2(equilibrium(sk_E)) | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2369', '2370'])). 10.46/10.68 tff('2463', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_2])). 10.46/10.68 tff('2464', plain, 10.46/10.68 ( greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.68 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2456'])). 10.46/10.68 tff('2465', plain, 10.46/10.68 ![X13, X14, X15]: 10.46/10.68 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.46/10.68 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.46/10.68 tff('2466', plain, 10.46/10.68 ![X0]: 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), X0) 10.46/10.68 | ~ greater(growth_rate(first_movers, equilibrium(sk_E)), X0)), 10.46/10.68 inference('sup-', [status(thm)], ['2464', '2465'])). 10.46/10.68 tff('2467', plain, 10.46/10.68 (~ zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), zero) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2463', '2466'])). 10.46/10.68 tff('2468', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['2462', '2467'])). 10.46/10.68 tff('2469', plain, 10.46/10.68 ( greater(growth_rate(efficient_producers, equilibrium(sk_E)), zero) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2468'])). 10.46/10.68 tff('2470', plain, 10.46/10.68 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.46/10.68 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.46/10.68 tff('2471', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | greater_or_equal( 10.46/10.68 growth_rate(efficient_producers, equilibrium(sk_E)), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['2469', '2470'])). 10.46/10.68 tff('2472', plain, 10.46/10.68 ![X8, X9, X10, X11]: 10.46/10.68 (~ environment(X8) 10.46/10.68 | ~ subpopulations(X9, X10, X8, X11) 10.46/10.68 | outcompetes(X10, X9, X11) 10.46/10.68 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.46/10.68 | ~ greater(zero, growth_rate(X9, X11))), 10.46/10.68 inference('cnf', [status(esa)], [d2])). 10.46/10.68 tff('2473', plain, 10.46/10.68 ![X0, X1]: 10.46/10.68 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ greater(zero, growth_rate(X0, equilibrium(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, X0, equilibrium(sk_E)) 10.46/10.68 | ~ subpopulations(X0, efficient_producers, X1, equilibrium(sk_E)) 10.46/10.68 | ~ environment(X1)), 10.46/10.68 inference('sup-', [status(thm)], ['2471', '2472'])). 10.46/10.68 tff('2474', plain, 10.46/10.68 ![X0]: 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | ~ environment(X0) 10.46/10.68 | ~ subpopulations(first_movers, efficient_producers, X0, 10.46/10.68 equilibrium(sk_E)) 10.46/10.68 | outcompetes(efficient_producers, first_movers, equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2461', '2473'])). 10.46/10.68 tff('2475', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( outcompetes(efficient_producers, first_movers, equilibrium(sk_E)) 10.46/10.68 | ~ subpopulations(first_movers, efficient_producers, X0, 10.46/10.68 equilibrium(sk_E)) 10.46/10.68 | ~ environment(X0) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2474'])). 10.46/10.68 tff('2476', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, equilibrium(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2447', '2475'])). 10.46/10.68 tff('2477', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2478', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, first_movers, equilibrium(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['2476', '2477'])). 10.46/10.68 tff('2479', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, equilibrium(sk_E)) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2478'])). 10.46/10.68 tff('2480', plain, 10.46/10.68 (~ outcompetes(efficient_producers, first_movers, equilibrium(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2405', '2406'])). 10.46/10.68 tff('2481', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2479', '2480'])). 10.46/10.68 tff('2482', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2481'])). 10.46/10.68 tff('2483', plain, 10.46/10.68 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup+', [status(thm)], ['2446', '2482'])). 10.46/10.68 tff('2484', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E))), 10.46/10.68 inference('simplify', [status(thm)], ['2483'])). 10.46/10.68 tff('2485', plain, 10.46/10.68 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['184', '185'])). 10.46/10.68 tff('2486', plain, 10.46/10.68 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2484', '2485'])). 10.46/10.68 tff('2487', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2488', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2486', '2487'])). 10.46/10.68 tff('2489', plain, 10.46/10.68 (~ stable(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2247', '2488'])). 10.46/10.68 tff('2490', plain, stable(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2491', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2492', plain, 10.46/10.68 ( zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['2489', '2490', '2491'])). 10.46/10.68 tff('2493', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.46/10.68 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2222', '2223'])). 10.46/10.68 tff('2494', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2492', '2493'])). 10.46/10.68 tff('2495', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2494'])). 10.46/10.68 tff('2496', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2497', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2495', '2496'])). 10.46/10.68 tff('2498', plain, 10.46/10.68 (~ stable(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2246', '2497'])). 10.46/10.68 tff('2499', plain, stable(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2500', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2501', plain, 10.46/10.68 ( zip_tseitin_2(sk_To(sk_E)) | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2498', '2499', '2500'])). 10.46/10.68 tff('2502', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.46/10.68 | ~ zip_tseitin_2(sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2319', '2320'])). 10.46/10.68 tff('2503', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2501', '2502'])). 10.46/10.68 tff('2504', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2503'])). 10.46/10.68 tff('2505', plain, 10.46/10.68 ( zip_tseitin_2(sk_To(sk_E)) | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2498', '2499', '2500'])). 10.46/10.68 tff('2506', plain, 10.46/10.68 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ zip_tseitin_2(sk_To(sk_E))), 10.46/10.68 inference('simplify', [status(thm)], ['2333'])). 10.46/10.68 tff('2507', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['2505', '2506'])). 10.46/10.68 tff('2508', plain, 10.46/10.68 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2507'])). 10.46/10.68 tff('2509', plain, 10.46/10.68 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.46/10.68 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.46/10.68 tff('2510', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | greater_or_equal(growth_rate(efficient_producers, sk_To(sk_E)), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['2508', '2509'])). 10.46/10.68 tff('2511', plain, 10.46/10.68 ![X8, X9, X10, X11]: 10.46/10.68 (~ environment(X8) 10.46/10.68 | ~ subpopulations(X9, X10, X8, X11) 10.46/10.68 | outcompetes(X10, X9, X11) 10.46/10.68 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.46/10.68 | ~ greater(zero, growth_rate(X9, X11))), 10.46/10.68 inference('cnf', [status(esa)], [d2])). 10.46/10.68 tff('2512', plain, 10.46/10.68 ![X0, X1]: 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ greater(zero, growth_rate(X0, sk_To(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, X0, sk_To(sk_E)) 10.46/10.68 | ~ subpopulations(X0, efficient_producers, X1, sk_To(sk_E)) 10.46/10.68 | ~ environment(X1)), 10.46/10.68 inference('sup-', [status(thm)], ['2510', '2511'])). 10.46/10.68 tff('2513', plain, 10.46/10.68 ![X0]: 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | ~ environment(X0) 10.46/10.68 | ~ subpopulations(first_movers, efficient_producers, X0, sk_To(sk_E)) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2504', '2512'])). 10.46/10.68 tff('2514', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.46/10.68 | ~ subpopulations(first_movers, efficient_producers, X0, sk_To(sk_E)) 10.46/10.68 | ~ environment(X0) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2513'])). 10.46/10.68 tff('2515', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2245', '2514'])). 10.46/10.68 tff('2516', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2517', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_To(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['2515', '2516'])). 10.46/10.68 tff('2518', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2517'])). 10.46/10.68 tff('2519', plain, 10.46/10.68 (~ outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2347', '2348'])). 10.46/10.68 tff('2520', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ in_environment(sk_E, sk_To(sk_E)) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2518', '2519'])). 10.46/10.68 tff('2521', plain, 10.46/10.68 (~ in_environment(sk_E, sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2520'])). 10.46/10.68 tff('2522', plain, 10.46/10.68 (~ stable(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['1604', '2521'])). 10.46/10.68 tff('2523', plain, stable(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2524', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2525', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2522', '2523', '2524'])). 10.46/10.68 tff('2526', plain, 10.46/10.68 subpopulations(first_movers, efficient_producers, sk_E, 10.46/10.68 sk_T(equilibrium(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['5', '1585'])). 10.46/10.68 tff('2527', plain, 10.46/10.68 ( subpopulations(first_movers, efficient_producers, sk_E, 10.46/10.68 equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup+', [status(thm)], ['2525', '2526'])). 10.46/10.68 tff('2528', plain, 10.46/10.68 ( zip_tseitin_2(equilibrium(sk_E)) | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2369', '2370'])). 10.46/10.68 tff('2529', plain, 10.46/10.68 ( greater_or_equal(equilibrium(sk_E), sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['1877', '1878'])). 10.46/10.68 tff('2530', plain, 10.46/10.68 ( subpopulations(first_movers, efficient_producers, sk_E, 10.46/10.68 equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup+', [status(thm)], ['2525', '2526'])). 10.46/10.68 tff('2531', plain, 10.46/10.68 ![X3, X4]: 10.46/10.68 (~ subpopulations(first_movers, efficient_producers, X3, X4) 10.46/10.68 | ~ greater_or_equal(X4, sk_To(X3)) 10.46/10.68 | greater(growth_rate(efficient_producers, X4), 10.46/10.68 growth_rate(first_movers, X4)) 10.46/10.68 | ~ environment(X3) 10.46/10.68 | ~ stable(X3)), 10.46/10.68 inference('cnf', [status(esa)], [l1])). 10.46/10.68 tff('2532', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ stable(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.68 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | ~ greater_or_equal(equilibrium(sk_E), sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2530', '2531'])). 10.46/10.68 tff('2533', plain, stable(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2534', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2535', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.68 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | ~ greater_or_equal(equilibrium(sk_E), sk_To(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['2532', '2533', '2534'])). 10.46/10.68 tff('2536', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.68 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2529', '2535'])). 10.46/10.68 tff('2537', plain, 10.46/10.68 ( greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.68 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('simplify', [status(thm)], ['2536'])). 10.46/10.68 tff('2538', plain, 10.46/10.68 ![X0, X1]: 10.46/10.68 (~ zip_tseitin_2(X0) 10.46/10.68 | greater(zero, X1) 10.46/10.68 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.46/10.68 inference('sup-', [status(thm)], ['76', '77'])). 10.46/10.68 tff('2539', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(zero, growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | ~ zip_tseitin_2(equilibrium(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2537', '2538'])). 10.46/10.68 tff('2540', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(zero, growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2528', '2539'])). 10.46/10.68 tff('2541', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | greater(zero, growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2540'])). 10.46/10.68 tff('2542', plain, 10.46/10.68 ( zip_tseitin_2(equilibrium(sk_E)) | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2369', '2370'])). 10.46/10.68 tff('2543', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_2])). 10.46/10.68 tff('2544', plain, 10.46/10.68 ( greater(growth_rate(efficient_producers, equilibrium(sk_E)), 10.46/10.68 growth_rate(first_movers, equilibrium(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('simplify', [status(thm)], ['2536'])). 10.46/10.68 tff('2545', plain, 10.46/10.68 ![X13, X14, X15]: 10.46/10.68 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.46/10.68 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.46/10.68 tff('2546', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), X0) 10.46/10.68 | ~ greater(growth_rate(first_movers, equilibrium(sk_E)), X0)), 10.46/10.68 inference('sup-', [status(thm)], ['2544', '2545'])). 10.46/10.68 tff('2547', plain, 10.46/10.68 (~ zip_tseitin_2(equilibrium(sk_E)) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), zero) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2543', '2546'])). 10.46/10.68 tff('2548', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(growth_rate(efficient_producers, equilibrium(sk_E)), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['2542', '2547'])). 10.46/10.68 tff('2549', plain, 10.46/10.68 ( greater(growth_rate(efficient_producers, equilibrium(sk_E)), zero) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2548'])). 10.46/10.68 tff('2550', plain, 10.46/10.68 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.46/10.68 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.46/10.68 tff('2551', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | greater_or_equal( 10.46/10.68 growth_rate(efficient_producers, equilibrium(sk_E)), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['2549', '2550'])). 10.46/10.68 tff('2552', plain, 10.46/10.68 ![X8, X9, X10, X11]: 10.46/10.68 (~ environment(X8) 10.46/10.68 | ~ subpopulations(X9, X10, X8, X11) 10.46/10.68 | outcompetes(X10, X9, X11) 10.46/10.68 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.46/10.68 | ~ greater(zero, growth_rate(X9, X11))), 10.46/10.68 inference('cnf', [status(esa)], [d2])). 10.46/10.68 tff('2553', plain, 10.46/10.68 ![X0, X1]: 10.46/10.68 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ greater(zero, growth_rate(X0, equilibrium(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, X0, equilibrium(sk_E)) 10.46/10.68 | ~ subpopulations(X0, efficient_producers, X1, equilibrium(sk_E)) 10.46/10.68 | ~ environment(X1)), 10.46/10.68 inference('sup-', [status(thm)], ['2551', '2552'])). 10.46/10.68 tff('2554', plain, 10.46/10.68 ![X0]: 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | ~ environment(X0) 10.46/10.68 | ~ subpopulations(first_movers, efficient_producers, X0, 10.46/10.68 equilibrium(sk_E)) 10.46/10.68 | outcompetes(efficient_producers, first_movers, equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2541', '2553'])). 10.46/10.68 tff('2555', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( outcompetes(efficient_producers, first_movers, equilibrium(sk_E)) 10.46/10.68 | ~ subpopulations(first_movers, efficient_producers, X0, 10.46/10.68 equilibrium(sk_E)) 10.46/10.68 | ~ environment(X0) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2554'])). 10.46/10.68 tff('2556', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, equilibrium(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2527', '2555'])). 10.46/10.68 tff('2557', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2558', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, first_movers, equilibrium(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['2556', '2557'])). 10.46/10.68 tff('2559', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, equilibrium(sk_E)) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2558'])). 10.46/10.68 tff('2560', plain, 10.46/10.68 (sk_T(equilibrium(sk_E)) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2522', '2523', '2524'])). 10.46/10.68 tff('2561', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2562', plain, 10.46/10.68 (~ outcompetes(efficient_producers, first_movers, equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ in_environment(sk_E, equilibrium(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2560', '2561'])). 10.46/10.68 tff('2563', plain, in_environment(sk_E, equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['1649', '1650', '1651'])). 10.46/10.68 tff('2564', plain, 10.46/10.68 (~ outcompetes(efficient_producers, first_movers, equilibrium(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2562', '2563'])). 10.46/10.68 tff('2565', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2559', '2564'])). 10.46/10.68 tff('2566', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2565'])). 10.46/10.68 tff('2567', plain, 10.46/10.68 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.68 | ~ zip_tseitin_2(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['137', '138'])). 10.46/10.68 tff('2568', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E))))), 10.46/10.68 inference('sup-', [status(thm)], ['2566', '2567'])). 10.46/10.68 tff('2569', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2565'])). 10.46/10.68 tff('2570', plain, 10.46/10.68 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['142', '145'])). 10.46/10.68 tff('2571', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['2569', '2570'])). 10.46/10.68 tff('2572', plain, 10.46/10.68 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.46/10.68 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.46/10.68 tff('2573', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater_or_equal( 10.46/10.68 growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['2571', '2572'])). 10.46/10.68 tff('2574', plain, 10.46/10.68 ![X8, X9, X10, X11]: 10.46/10.68 (~ environment(X8) 10.46/10.68 | ~ subpopulations(X9, X10, X8, X11) 10.46/10.68 | outcompetes(X10, X9, X11) 10.46/10.68 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.46/10.68 | ~ greater(zero, growth_rate(X9, X11))), 10.46/10.68 inference('cnf', [status(esa)], [d2])). 10.46/10.68 tff('2575', plain, 10.46/10.68 ![X0, X1]: 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | ~ greater(zero, growth_rate(X0, sk_T(sk_To(sk_E)))) 10.46/10.68 | outcompetes(efficient_producers, X0, sk_T(sk_To(sk_E))) 10.46/10.68 | ~ subpopulations(X0, efficient_producers, X1, sk_T(sk_To(sk_E))) 10.46/10.68 | ~ environment(X1)), 10.46/10.68 inference('sup-', [status(thm)], ['2573', '2574'])). 10.46/10.68 tff('2576', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ environment(X0) 10.46/10.68 | ~ subpopulations(first_movers, efficient_producers, X0, 10.46/10.68 sk_T(sk_To(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2568', '2575'])). 10.46/10.68 tff('2577', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.46/10.68 | ~ subpopulations(first_movers, efficient_producers, X0, 10.46/10.68 sk_T(sk_To(sk_E))) 10.46/10.68 | ~ environment(X0) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('simplify', [status(thm)], ['2576'])). 10.46/10.68 tff('2578', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['1603', '2577'])). 10.46/10.68 tff('2579', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2580', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['2578', '2579'])). 10.46/10.68 tff('2581', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2582', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2580', '2581'])). 10.46/10.68 tff('2583', plain, 10.46/10.68 (~ stable(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['1602', '2582'])). 10.46/10.68 tff('2584', plain, stable(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2585', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2586', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2583', '2584', '2585'])). 10.46/10.68 tff('2587', plain, 10.46/10.68 (~ zip_tseitin_1(sk_T(sk_To(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['184', '185'])). 10.46/10.68 tff('2588', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2586', '2587'])). 10.46/10.68 tff('2589', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2590', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2588', '2589'])). 10.46/10.68 tff('2591', plain, 10.46/10.68 (~ stable(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['1601', '2590'])). 10.46/10.68 tff('2592', plain, stable(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2593', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2594', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['2591', '2592', '2593'])). 10.46/10.68 tff('2595', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.46/10.68 | ~ zip_tseitin_0(sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2222', '2223'])). 10.46/10.68 tff('2596', plain, 10.46/10.68 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2594', '2595'])). 10.46/10.68 tff('2597', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_T(sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2596'])). 10.46/10.68 tff('2598', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2599', plain, 10.46/10.68 (sk_T(sk_To(sk_E)) = sk_To(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2597', '2598'])). 10.46/10.68 tff('2600', plain, 10.46/10.68 (~ stable(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['1600', '2599'])). 10.46/10.68 tff('2601', plain, stable(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2602', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2603', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2600', '2601', '2602'])). 10.46/10.68 tff('2604', plain, 10.46/10.68 subpopulations(first_movers, efficient_producers, sk_E, 10.46/10.68 sk_T(sk_To(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['12', '13', '14'])). 10.46/10.68 tff('2605', plain, 10.46/10.68 ( subpopulations(first_movers, efficient_producers, sk_E, sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup+', [status(thm)], ['2603', '2604'])). 10.46/10.68 tff('2606', plain, 10.46/10.68 ( subpopulations(first_movers, efficient_producers, sk_E, sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup+', [status(thm)], ['2603', '2604'])). 10.46/10.68 tff('2607', plain, 10.46/10.68 ![X3, X4]: 10.46/10.68 (~ subpopulations(first_movers, efficient_producers, X3, X4) 10.46/10.68 | ~ greater_or_equal(X4, sk_To(X3)) 10.46/10.68 | greater(growth_rate(efficient_producers, X4), 10.46/10.68 growth_rate(first_movers, X4)) 10.46/10.68 | ~ environment(X3) 10.46/10.68 | ~ stable(X3)), 10.46/10.68 inference('cnf', [status(esa)], [l1])). 10.46/10.68 tff('2608', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ stable(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.46/10.68 growth_rate(first_movers, sk_To(sk_E))) 10.46/10.68 | ~ greater_or_equal(sk_To(sk_E), sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2606', '2607'])). 10.46/10.68 tff('2609', plain, stable(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2610', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2611', plain, ![X17]: greater_or_equal(X17, X17), 10.46/10.68 inference('simplify', [status(thm)], ['737'])). 10.46/10.68 tff('2612', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.46/10.68 growth_rate(first_movers, sk_To(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['2608', '2609', '2610', '2611'])). 10.46/10.68 tff('2613', plain, 10.46/10.68 ![X0, X1]: 10.46/10.68 (~ zip_tseitin_2(X0) 10.46/10.68 | greater(zero, X1) 10.46/10.68 | ~ greater(growth_rate(efficient_producers, X0), X1)), 10.46/10.68 inference('sup-', [status(thm)], ['76', '77'])). 10.46/10.68 tff('2614', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.46/10.68 | ~ zip_tseitin_2(sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2612', '2613'])). 10.46/10.68 tff('2615', plain, 10.46/10.68 ( zip_tseitin_2(sk_To(sk_E)) | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2498', '2499', '2500'])). 10.46/10.68 tff('2616', plain, 10.46/10.68 ( greater(zero, growth_rate(first_movers, sk_To(sk_E))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('clc', [status(thm)], ['2614', '2615'])). 10.46/10.68 tff('2617', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2600', '2601', '2602'])). 10.46/10.68 tff('2618', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( greater(growth_rate(first_movers, X0), zero) | ~ zip_tseitin_2(X0)), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_2])). 10.46/10.68 tff('2619', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2600', '2601', '2602'])). 10.46/10.68 tff('2620', plain, 10.46/10.68 greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), 10.46/10.68 growth_rate(first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['133', '134', '135', '136'])). 10.46/10.68 tff('2621', plain, 10.46/10.68 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), 10.46/10.68 growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup+', [status(thm)], ['2619', '2620'])). 10.46/10.68 tff('2622', plain, 10.46/10.68 ![X13, X14, X15]: 10.46/10.68 (~ greater(X13, X14) | ~ greater(X14, X15) | greater(X13, X15)), 10.46/10.68 inference('cnf', [status(esa)], [mp_greater_transitivity])). 10.46/10.68 tff('2623', plain, 10.46/10.68 ![X0]: 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_To(sk_E)), X0) 10.46/10.68 | ~ greater(growth_rate(first_movers, sk_T(sk_To(sk_E))), X0)), 10.46/10.68 inference('sup-', [status(thm)], ['2621', '2622'])). 10.46/10.68 tff('2624', plain, 10.46/10.68 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2618', '2623'])). 10.46/10.68 tff('2625', plain, 10.46/10.68 (~ zip_tseitin_2(sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['2617', '2624'])). 10.46/10.68 tff('2626', plain, 10.46/10.68 ( greater(growth_rate(efficient_producers, sk_To(sk_E)), zero) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ zip_tseitin_2(sk_To(sk_E))), 10.46/10.68 inference('simplify', [status(thm)], ['2625'])). 10.46/10.68 tff('2627', plain, 10.46/10.68 ( zip_tseitin_2(sk_To(sk_E)) | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2498', '2499', '2500'])). 10.46/10.68 tff('2628', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_To(sk_E)), zero)), 10.46/10.68 inference('clc', [status(thm)], ['2626', '2627'])). 10.46/10.68 tff('2629', plain, 10.46/10.68 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.46/10.68 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.46/10.68 tff('2630', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | greater_or_equal(growth_rate(efficient_producers, sk_To(sk_E)), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['2628', '2629'])). 10.46/10.68 tff('2631', plain, 10.46/10.68 ![X8, X9, X10, X11]: 10.46/10.68 (~ environment(X8) 10.46/10.68 | ~ subpopulations(X9, X10, X8, X11) 10.46/10.68 | outcompetes(X10, X9, X11) 10.46/10.68 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.46/10.68 | ~ greater(zero, growth_rate(X9, X11))), 10.46/10.68 inference('cnf', [status(esa)], [d2])). 10.46/10.68 tff('2632', plain, 10.46/10.68 ![X0, X1]: 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ greater(zero, growth_rate(X0, sk_To(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, X0, sk_To(sk_E)) 10.46/10.68 | ~ subpopulations(X0, efficient_producers, X1, sk_To(sk_E)) 10.46/10.68 | ~ environment(X1)), 10.46/10.68 inference('sup-', [status(thm)], ['2630', '2631'])). 10.46/10.68 tff('2633', plain, 10.46/10.68 ![X0]: 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ environment(X0) 10.46/10.68 | ~ subpopulations(first_movers, efficient_producers, X0, sk_To(sk_E)) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2616', '2632'])). 10.46/10.68 tff('2634', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.46/10.68 | ~ subpopulations(first_movers, efficient_producers, X0, sk_To(sk_E)) 10.46/10.68 | ~ environment(X0) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2633'])). 10.46/10.68 tff('2635', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ environment(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2605', '2634'])). 10.46/10.68 tff('2636', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2637', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | outcompetes(efficient_producers, first_movers, sk_To(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['2635', '2636'])). 10.46/10.68 tff('2638', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2637'])). 10.46/10.68 tff('2639', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) | sk_T(sk_To(sk_E)) = sk_To(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['2600', '2601', '2602'])). 10.46/10.68 tff('2640', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2641', plain, 10.46/10.68 (~ outcompetes(efficient_producers, first_movers, sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ in_environment(sk_E, sk_To(sk_E))), 10.46/10.68 inference('sup-', [status(thm)], ['2639', '2640'])). 10.46/10.68 tff('2642', plain, 10.46/10.68 (sk_To(sk_E) = equilibrium(sk_E) 10.46/10.68 | ~ in_environment(sk_E, sk_To(sk_E)) 10.46/10.68 | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2638', '2641'])). 10.46/10.68 tff('2643', plain, 10.46/10.68 (~ in_environment(sk_E, sk_To(sk_E)) | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('simplify', [status(thm)], ['2642'])). 10.46/10.68 tff('2644', plain, 10.46/10.68 (~ stable(sk_E) | ~ environment(sk_E) | sk_To(sk_E) = equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['1599', '2643'])). 10.46/10.68 tff('2645', plain, stable(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2646', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2647', plain, sk_To(sk_E) = equilibrium(sk_E), 10.46/10.68 inference('demod', [status(thm)], ['2644', '2645', '2646'])). 10.46/10.68 tff('2648', plain, sk_To(sk_E) = equilibrium(sk_E), 10.46/10.68 inference('demod', [status(thm)], ['2644', '2645', '2646'])). 10.46/10.68 tff('2649', plain, 10.46/10.68 ( greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.68 | ~ zip_tseitin_2(sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['1598', '2647', '2648'])). 10.46/10.68 tff('2650', plain, 10.46/10.68 ( zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E))))), 10.46/10.68 inference('sup-', [status(thm)], ['1597', '2649'])). 10.46/10.68 tff('2651', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( greater(zero, growth_rate(first_movers, X0)) | ~ zip_tseitin_1(X0)), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_4])). 10.46/10.68 tff('2652', plain, 10.46/10.68 ( greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('clc', [status(thm)], ['2650', '2651'])). 10.46/10.68 tff('2653', plain, 10.46/10.68 ( greater(zero, growth_rate(first_movers, sk_T(sk_To(sk_E)))) 10.46/10.68 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup+', [status(thm)], ['274', '275'])). 10.46/10.68 tff('2654', plain, sk_To(sk_E) = equilibrium(sk_E), 10.46/10.68 inference('demod', [status(thm)], ['2644', '2645', '2646'])). 10.46/10.68 tff('2655', plain, sk_To(sk_E) = equilibrium(sk_E), 10.46/10.68 inference('demod', [status(thm)], ['2644', '2645', '2646'])). 10.46/10.68 tff('2656', plain, 10.46/10.68 ( greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E)))) 10.46/10.68 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['2653', '2654', '2655'])). 10.46/10.68 tff('2657', plain, 10.46/10.68 greater(zero, growth_rate(first_movers, sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('clc', [status(thm)], ['2652', '2656'])). 10.46/10.68 tff('2658', plain, 10.46/10.68 ( zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_2(sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['1592', '1596'])). 10.46/10.68 tff('2659', plain, 10.46/10.68 (~ zip_tseitin_2(sk_T(sk_To(sk_E))) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero)), 10.46/10.68 inference('sup-', [status(thm)], ['142', '145'])). 10.46/10.68 tff('2660', plain, sk_To(sk_E) = equilibrium(sk_E), 10.46/10.68 inference('demod', [status(thm)], ['2644', '2645', '2646'])). 10.46/10.68 tff('2661', plain, sk_To(sk_E) = equilibrium(sk_E), 10.46/10.68 inference('demod', [status(thm)], ['2644', '2645', '2646'])). 10.46/10.68 tff('2662', plain, 10.46/10.68 (~ zip_tseitin_2(sk_T(equilibrium(sk_E))) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_T(equilibrium(sk_E))), 10.46/10.68 zero)), 10.46/10.68 inference('demod', [status(thm)], ['2659', '2660', '2661'])). 10.46/10.68 tff('2663', plain, 10.46/10.68 ( zip_tseitin_1(sk_T(equilibrium(sk_E))) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E))) 10.46/10.68 | greater(growth_rate(efficient_producers, sk_T(equilibrium(sk_E))), 10.46/10.68 zero)), 10.46/10.68 inference('sup-', [status(thm)], ['2658', '2662'])). 10.46/10.68 tff('2664', plain, 10.46/10.68 ![X0]: 10.46/10.68 ( greater(growth_rate(efficient_producers, X0), zero) 10.46/10.68 | ~ zip_tseitin_1(X0)), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_4])). 10.46/10.68 tff('2665', plain, 10.46/10.68 ( greater(growth_rate(efficient_producers, sk_T(equilibrium(sk_E))), 10.46/10.68 zero) 10.46/10.68 | zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('clc', [status(thm)], ['2663', '2664'])). 10.46/10.68 tff('2666', plain, 10.46/10.68 ![X0]: (zero = growth_rate(first_movers, X0) | ~ zip_tseitin_0(X0)), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_6])). 10.46/10.68 tff('2667', plain, 10.46/10.68 greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), 10.46/10.68 growth_rate(first_movers, sk_T(sk_To(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['133', '134', '135', '136'])). 10.46/10.68 tff('2668', plain, 10.46/10.68 ( greater(growth_rate(efficient_producers, sk_T(sk_To(sk_E))), zero) 10.46/10.68 | ~ zip_tseitin_0(sk_T(sk_To(sk_E)))), 10.46/10.68 inference('sup+', [status(thm)], ['2666', '2667'])). 10.46/10.68 tff('2669', plain, sk_To(sk_E) = equilibrium(sk_E), 10.46/10.68 inference('demod', [status(thm)], ['2644', '2645', '2646'])). 10.46/10.68 tff('2670', plain, sk_To(sk_E) = equilibrium(sk_E), 10.46/10.68 inference('demod', [status(thm)], ['2644', '2645', '2646'])). 10.46/10.68 tff('2671', plain, 10.46/10.68 ( greater(growth_rate(efficient_producers, sk_T(equilibrium(sk_E))), 10.46/10.68 zero) 10.46/10.68 | ~ zip_tseitin_0(sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('demod', [status(thm)], ['2668', '2669', '2670'])). 10.46/10.68 tff('2672', plain, 10.46/10.68 greater(growth_rate(efficient_producers, sk_T(equilibrium(sk_E))), zero), 10.46/10.68 inference('clc', [status(thm)], ['2665', '2671'])). 10.46/10.68 tff('2673', plain, 10.46/10.68 ![X16, X17]: ( greater_or_equal(X16, X17) | ~ greater(X16, X17)), 10.46/10.68 inference('cnf', [status(esa)], [mp_greater_or_equal])). 10.46/10.68 tff('2674', plain, 10.46/10.68 greater_or_equal( 10.46/10.68 growth_rate(efficient_producers, sk_T(equilibrium(sk_E))), zero), 10.46/10.68 inference('sup-', [status(thm)], ['2672', '2673'])). 10.46/10.68 tff('2675', plain, 10.46/10.68 ![X8, X9, X10, X11]: 10.46/10.68 (~ environment(X8) 10.46/10.68 | ~ subpopulations(X9, X10, X8, X11) 10.46/10.68 | outcompetes(X10, X9, X11) 10.46/10.68 | ~ greater_or_equal(growth_rate(X10, X11), zero) 10.46/10.68 | ~ greater(zero, growth_rate(X9, X11))), 10.46/10.68 inference('cnf', [status(esa)], [d2])). 10.46/10.68 tff('2676', plain, 10.46/10.68 ![X0, X1]: 10.46/10.68 (~ greater(zero, growth_rate(X0, sk_T(equilibrium(sk_E)))) 10.46/10.68 | outcompetes(efficient_producers, X0, sk_T(equilibrium(sk_E))) 10.46/10.68 | ~ subpopulations(X0, efficient_producers, X1, 10.46/10.68 sk_T(equilibrium(sk_E))) 10.46/10.68 | ~ environment(X1)), 10.46/10.68 inference('sup-', [status(thm)], ['2674', '2675'])). 10.46/10.68 tff('2677', plain, 10.46/10.68 ![X0]: 10.46/10.68 (~ environment(X0) 10.46/10.68 | ~ subpopulations(first_movers, efficient_producers, X0, 10.46/10.68 sk_T(equilibrium(sk_E))) 10.46/10.68 | outcompetes(efficient_producers, first_movers, 10.46/10.68 sk_T(equilibrium(sk_E)))), 10.46/10.68 inference('sup-', [status(thm)], ['2657', '2676'])). 10.46/10.68 tff('2678', plain, 10.46/10.68 ( outcompetes(efficient_producers, first_movers, sk_T(equilibrium(sk_E))) 10.46/10.68 | ~ environment(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['1586', '2677'])). 10.46/10.68 tff('2679', plain, environment(sk_E), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2680', plain, 10.46/10.68 outcompetes(efficient_producers, first_movers, sk_T(equilibrium(sk_E))), 10.46/10.68 inference('demod', [status(thm)], ['2678', '2679'])). 10.46/10.68 tff('2681', plain, 10.46/10.68 ![X12]: 10.46/10.68 (~ in_environment(sk_E, X12) 10.46/10.68 | ~ outcompetes(efficient_producers, first_movers, sk_T(X12))), 10.46/10.68 inference('cnf', [status(esa)], [zf_stmt_0])). 10.46/10.68 tff('2682', plain, ~ in_environment(sk_E, equilibrium(sk_E)), 10.46/10.68 inference('sup-', [status(thm)], ['2680', '2681'])). 10.46/10.68 tff('2683', plain, in_environment(sk_E, equilibrium(sk_E)), 10.46/10.68 inference('demod', [status(thm)], ['1649', '1650', '1651'])). 10.46/10.68 tff('2684', plain, $false, 10.46/10.68 inference('demod', [status(thm)], ['2682', '2683'])). 10.46/10.68 10.46/10.68 % SZS output end Refutation 10.46/10.68 10.46/10.69 % Zipperpin 1.5 exiting 10.46/10.69 EOF