%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT029-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DenyPfGz16 true
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:25:00 AM UTC 2026
% Result : Unsatisfiable 42.78s 6.99s
% Output : Refutation 43.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT029-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.08 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DenyPfGz16 true
% 0.16/0.44 % Computer : n009.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 7 12:17:22 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 % Running portfolio for 300 s
% 0.16/0.44 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.45 % Number of cores: 8
% 0.16/0.45 % Python version: Python 3.12.3
% 0.16/0.46 % Running in FO mode
% 0.40/0.85 % Total configuration time : 435
% 0.40/0.85 % Estimated wc time : 1092
% 0.40/0.85 % Estimated cpu time (7 cpus) : 156.0
% 0.42/0.96 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/1.06 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.42/1.06 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.42/1.06 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.42/1.06 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.42/1.06 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 2.09/1.07 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 42.78/6.99 % Solved by fo/fo7.sh.
% 42.78/6.99 % done 2460 iterations in 5.693s
% 42.78/6.99 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 42.78/6.99 % SZS output start Refutation
% 42.78/6.99 thf(in_environment_type, type, in_environment: $i > $i > $o).
% 42.78/6.99 thf(greater_or_equal_type, type, greater_or_equal: $i > $i > $o).
% 42.78/6.99 thf(equilibrium_type, type, equilibrium: $i > $i).
% 42.78/6.99 thf(first_movers_type, type, first_movers: $i).
% 42.78/6.99 thf(zero_type, type, zero: $i).
% 42.78/6.99 thf(sk4_type, type, sk4: $i > $i).
% 42.78/6.99 thf(subpopulations_type, type, subpopulations: $i > $i > $i > $i > $o).
% 42.78/6.99 thf(sk2_type, type, sk2: $i > $i).
% 42.78/6.99 thf(sk3_type, type, sk3: $i).
% 42.78/6.99 thf(stable_type, type, stable: $i > $o).
% 42.78/6.99 thf(efficient_producers_type, type, efficient_producers: $i).
% 42.78/6.99 thf(sk1_type, type, sk1: $i > $i).
% 42.78/6.99 thf(greater_type, type, greater: $i > $i > $o).
% 42.78/6.99 thf(growth_rate_type, type, growth_rate: $i > $i > $i).
% 42.78/6.99 thf(environment_type, type, environment: $i > $o).
% 42.78/6.99 thf(prove_l11_38, conjecture,
% 42.78/6.99 (~( ( subpopulations @
% 42.78/6.99 first_movers @ efficient_producers @ sk3 @ ( sk4 @ A ) ) |
% 42.78/6.99 ( ~( in_environment @ sk3 @ A ) ) ))).
% 42.78/6.99 thf(zf_stmt_0, negated_conjecture,
% 42.78/6.99 (( subpopulations @ first_movers @ efficient_producers @ sk3 @ ( sk4 @ A ) ) |
% 42.78/6.99 ( ~( in_environment @ sk3 @ A ) )),
% 42.78/6.99 inference('cnf.neg', [status(esa)], [prove_l11_38])).
% 42.78/6.99 thf(zip_derived_cl19, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/6.99 (sk4 @ X0))
% 42.78/6.99 | ~ (in_environment @ sk3 @ X0))),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/6.99 thf(zip_derived_cl19, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/6.99 (sk4 @ X0))
% 42.78/6.99 | ~ (in_environment @ sk3 @ X0))),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/6.99 thf(prove_l11_39, conjecture,
% 42.78/6.99 (~( ( greater_or_equal @ ( sk4 @ A ) @ A ) |
% 42.78/6.99 ( ~( in_environment @ sk3 @ A ) ) ))).
% 42.78/6.99 thf(zf_stmt_1, negated_conjecture,
% 42.78/6.99 (( greater_or_equal @ ( sk4 @ A ) @ A ) | ( ~( in_environment @ sk3 @ A ) )),
% 42.78/6.99 inference('cnf.neg', [status(esa)], [prove_l11_39])).
% 42.78/6.99 thf(zip_derived_cl20, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 ( (greater_or_equal @ (sk4 @ X0) @ X0) | ~ (in_environment @ sk3 @ X0))),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_1])).
% 42.78/6.99 thf(l1_33, axiom,
% 42.78/6.99 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 42.78/6.99 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 42.78/6.99 ( ~( greater_or_equal @ B @ ( sk1 @ A ) ) ) |
% 42.78/6.99 ( greater @
% 42.78/6.99 ( growth_rate @ efficient_producers @ B ) @
% 42.78/6.99 ( growth_rate @ first_movers @ B ) ))).
% 42.78/6.99 thf(zip_derived_cl14, plain,
% 42.78/6.99 (![X0 : $i, X1 : $i]:
% 42.78/6.99 (~ (environment @ X0)
% 42.78/6.99 | ~ (stable @ X0)
% 42.78/6.99 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/6.99 | ~ (greater_or_equal @ X1 @ (sk1 @ X0))
% 42.78/6.99 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 42.78/6.99 (growth_rate @ first_movers @ X1)))),
% 42.78/6.99 inference('cnf', [status(esa)], [l1_33])).
% 42.78/6.99 thf(zip_derived_cl59, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 (~ (in_environment @ sk3 @ (sk1 @ X0))
% 42.78/6.99 | (greater @
% 42.78/6.99 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ X0))) @
% 42.78/6.99 (growth_rate @ first_movers @ (sk4 @ (sk1 @ X0))))
% 42.78/6.99 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/6.99 (sk4 @ (sk1 @ X0)))
% 42.78/6.99 | ~ (stable @ X0)
% 42.78/6.99 | ~ (environment @ X0))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl14])).
% 42.78/6.99 thf(zip_derived_cl19, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/6.99 (sk4 @ X0))
% 42.78/6.99 | ~ (in_environment @ sk3 @ X0))),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/6.99 thf(zip_derived_cl19, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/6.99 (sk4 @ X0))
% 42.78/6.99 | ~ (in_environment @ sk3 @ X0))),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/6.99 thf(zip_derived_cl19, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/6.99 (sk4 @ X0))
% 42.78/6.99 | ~ (in_environment @ sk3 @ X0))),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/6.99 thf(prove_l11_37, conjecture, (~( stable @ sk3 ))).
% 42.78/6.99 thf(zf_stmt_2, negated_conjecture, (stable @ sk3),
% 42.78/6.99 inference('cnf.neg', [status(esa)], [prove_l11_37])).
% 42.78/6.99 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_2])).
% 42.78/6.99 thf(a4_34, axiom,
% 42.78/6.99 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 42.78/6.99 ( in_environment @ A @ ( sk2 @ A ) ))).
% 42.78/6.99 thf(zip_derived_cl15, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 (~ (environment @ X0)
% 42.78/6.99 | ~ (stable @ X0)
% 42.78/6.99 | (in_environment @ X0 @ (sk2 @ X0)))),
% 42.78/6.99 inference('cnf', [status(esa)], [a4_34])).
% 42.78/6.99 thf(zip_derived_cl30, plain,
% 42.78/6.99 (( (in_environment @ sk3 @ (sk2 @ sk3)) | ~ (environment @ sk3))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl15])).
% 42.78/6.99 thf(prove_l11_36, conjecture, (~( environment @ sk3 ))).
% 42.78/6.99 thf(zf_stmt_3, negated_conjecture, (environment @ sk3),
% 42.78/6.99 inference('cnf.neg', [status(esa)], [prove_l11_36])).
% 42.78/6.99 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/6.99 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/6.99 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/6.99 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_2])).
% 42.78/6.99 thf(l1_32, axiom,
% 42.78/6.99 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 42.78/6.99 ( in_environment @ A @ ( sk1 @ A ) ))).
% 42.78/6.99 thf(zip_derived_cl13, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 (~ (environment @ X0)
% 42.78/6.99 | ~ (stable @ X0)
% 42.78/6.99 | (in_environment @ X0 @ (sk1 @ X0)))),
% 42.78/6.99 inference('cnf', [status(esa)], [l1_32])).
% 42.78/6.99 thf(zip_derived_cl26, plain,
% 42.78/6.99 (( (in_environment @ sk3 @ (sk1 @ sk3)) | ~ (environment @ sk3))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl13])).
% 42.78/6.99 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/6.99 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/6.99 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/6.99 thf(mp_times_in_environment_20, axiom,
% 42.78/6.99 (( ~( in_environment @ A @ B ) ) | ( ~( in_environment @ A @ C ) ) |
% 42.78/6.99 ( greater @ C @ B ) | ( ( C ) = ( B ) ) | ( greater @ B @ C ))).
% 42.78/6.99 thf(zip_derived_cl1, plain,
% 42.78/6.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.78/6.99 (~ (in_environment @ X0 @ X1)
% 42.78/6.99 | ~ (in_environment @ X0 @ X2)
% 42.78/6.99 | (greater @ X2 @ X1)
% 42.78/6.99 | ((X2) = (X1))
% 42.78/6.99 | (greater @ X1 @ X2))),
% 42.78/6.99 inference('cnf', [status(esa)], [mp_times_in_environment_20])).
% 42.78/6.99 thf(zip_derived_cl47, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 ( (greater @ (sk1 @ sk3) @ X0)
% 42.78/6.99 | ((X0) = (sk1 @ sk3))
% 42.78/6.99 | (greater @ X0 @ (sk1 @ sk3))
% 42.78/6.99 | ~ (in_environment @ sk3 @ X0))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl1])).
% 42.78/6.99 thf(zip_derived_cl52, plain,
% 42.78/6.99 (( (greater @ (sk2 @ sk3) @ (sk1 @ sk3))
% 42.78/6.99 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/6.99 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl47])).
% 42.78/6.99 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/6.99 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/6.99 thf(zip_derived_cl20, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 ( (greater_or_equal @ (sk4 @ X0) @ X0) | ~ (in_environment @ sk3 @ X0))),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_1])).
% 42.78/6.99 thf(mp_greater_or_equal_21, axiom,
% 42.78/6.99 (( ~( greater_or_equal @ A @ B ) ) | ( greater @ A @ B ) |
% 42.78/6.99 ( ( A ) = ( B ) ))).
% 42.78/6.99 thf(zip_derived_cl2, plain,
% 42.78/6.99 (![X0 : $i, X1 : $i]:
% 42.78/6.99 (~ (greater_or_equal @ X0 @ X1) | (greater @ X0 @ X1) | ((X0) = (X1)))),
% 42.78/6.99 inference('cnf', [status(esa)], [mp_greater_or_equal_21])).
% 42.78/6.99 thf(zip_derived_cl35, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 (~ (in_environment @ sk3 @ X0)
% 42.78/6.99 | ((sk4 @ X0) = (X0))
% 42.78/6.99 | (greater @ (sk4 @ X0) @ X0))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl2])).
% 42.78/6.99 thf(mp_greater_transitivity_19, axiom,
% 42.78/6.99 (( ~( greater @ A @ B ) ) | ( ~( greater @ B @ C ) ) | ( greater @ A @ C ))).
% 42.78/6.99 thf(zip_derived_cl0, plain,
% 42.78/6.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.78/6.99 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 42.78/6.99 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 42.78/6.99 thf(zip_derived_cl44, plain,
% 42.78/6.99 (![X0 : $i, X1 : $i]:
% 42.78/6.99 (((sk4 @ X0) = (X0))
% 42.78/6.99 | ~ (in_environment @ sk3 @ X0)
% 42.78/6.99 | (greater @ (sk4 @ X0) @ X1)
% 42.78/6.99 | ~ (greater @ X0 @ X1))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 42.78/6.99 thf(mp_greater_or_equal_22, axiom,
% 42.78/6.99 (( ~( greater @ A @ B ) ) | ( greater_or_equal @ A @ B ))).
% 42.78/6.99 thf(zip_derived_cl3, plain,
% 42.78/6.99 (![X0 : $i, X1 : $i]:
% 42.78/6.99 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 42.78/6.99 inference('cnf', [status(esa)], [mp_greater_or_equal_22])).
% 42.78/6.99 thf(zip_derived_cl14, plain,
% 42.78/6.99 (![X0 : $i, X1 : $i]:
% 42.78/6.99 (~ (environment @ X0)
% 42.78/6.99 | ~ (stable @ X0)
% 42.78/6.99 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/6.99 | ~ (greater_or_equal @ X1 @ (sk1 @ X0))
% 42.78/6.99 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 42.78/6.99 (growth_rate @ first_movers @ X1)))),
% 42.78/6.99 inference('cnf', [status(esa)], [l1_33])).
% 42.78/6.99 thf(zip_derived_cl57, plain,
% 42.78/6.99 (![X0 : $i, X1 : $i]:
% 42.78/6.99 (~ (greater @ X1 @ (sk1 @ X0))
% 42.78/6.99 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 42.78/6.99 (growth_rate @ first_movers @ X1))
% 42.78/6.99 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/6.99 | ~ (stable @ X0)
% 42.78/6.99 | ~ (environment @ X0))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl14])).
% 42.78/6.99 thf(zip_derived_cl63, plain,
% 42.78/6.99 (![X0 : $i, X1 : $i]:
% 42.78/6.99 (~ (greater @ X1 @ (sk1 @ X0))
% 42.78/6.99 | ~ (in_environment @ sk3 @ X1)
% 42.78/6.99 | ((sk4 @ X1) = (X1))
% 42.78/6.99 | ~ (environment @ X0)
% 42.78/6.99 | ~ (stable @ X0)
% 42.78/6.99 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/6.99 (sk4 @ X1))
% 42.78/6.99 | (greater @ (growth_rate @ efficient_producers @ (sk4 @ X1)) @
% 42.78/6.99 (growth_rate @ first_movers @ (sk4 @ X1))))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl57])).
% 42.78/6.99 thf(zip_derived_cl72, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 ( (greater @
% 42.78/6.99 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @
% 42.78/6.99 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/6.99 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/6.99 (sk4 @ (sk2 @ sk3)))
% 42.78/6.99 | ~ (stable @ X0)
% 42.78/6.99 | ~ (environment @ X0)
% 42.78/6.99 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/6.99 | ~ (greater @ (sk2 @ sk3) @ (sk1 @ X0)))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl63])).
% 42.78/6.99 thf(zip_derived_cl226, plain,
% 42.78/6.99 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/6.99 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/6.99 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/6.99 | ~ (environment @ sk3)
% 42.78/6.99 | ~ (stable @ sk3)
% 42.78/6.99 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/6.99 (sk4 @ (sk2 @ sk3)))
% 42.78/6.99 | (greater @
% 42.78/6.99 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @
% 42.78/6.99 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl72])).
% 42.78/6.99 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/6.99 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_2])).
% 42.78/6.99 thf(zip_derived_cl227, plain,
% 42.78/6.99 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/6.99 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/6.99 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/6.99 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/6.99 (sk4 @ (sk2 @ sk3)))
% 42.78/6.99 | (greater @
% 42.78/6.99 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @
% 42.78/6.99 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/6.99 inference('demod', [status(thm)],
% 42.78/6.99 [zip_derived_cl226, zip_derived_cl17, zip_derived_cl18])).
% 42.78/6.99 thf(zip_derived_cl242, plain,
% 42.78/6.99 ((~ (in_environment @ sk3 @ (sk2 @ sk3))
% 42.78/6.99 | (greater @
% 42.78/6.99 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @
% 42.78/6.99 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/6.99 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/6.99 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/6.99 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl227])).
% 42.78/6.99 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/6.99 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/6.99 thf(zip_derived_cl243, plain,
% 42.78/6.99 (( (greater @
% 42.78/6.99 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @
% 42.78/6.99 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/6.99 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/6.99 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/6.99 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/6.99 inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl31])).
% 42.78/6.99 thf(zip_derived_cl19, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/6.99 (sk4 @ X0))
% 42.78/6.99 | ~ (in_environment @ sk3 @ X0))),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/6.99 thf(zip_derived_cl19, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/6.99 (sk4 @ X0))
% 42.78/6.99 | ~ (in_environment @ sk3 @ X0))),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/6.99 thf(zip_derived_cl59, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 (~ (in_environment @ sk3 @ (sk1 @ X0))
% 42.78/6.99 | (greater @
% 42.78/6.99 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ X0))) @
% 42.78/6.99 (growth_rate @ first_movers @ (sk4 @ (sk1 @ X0))))
% 42.78/6.99 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/6.99 (sk4 @ (sk1 @ X0)))
% 42.78/6.99 | ~ (stable @ X0)
% 42.78/6.99 | ~ (environment @ X0))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl14])).
% 42.78/6.99 thf(zip_derived_cl19, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/6.99 (sk4 @ X0))
% 42.78/6.99 | ~ (in_environment @ sk3 @ X0))),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/6.99 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_2])).
% 42.78/6.99 thf(a4_35, axiom,
% 42.78/6.99 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 42.78/6.99 ( greater_or_equal @ ( sk2 @ A ) @ ( equilibrium @ A ) ))).
% 42.78/6.99 thf(zip_derived_cl16, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 (~ (environment @ X0)
% 42.78/6.99 | ~ (stable @ X0)
% 42.78/6.99 | (greater_or_equal @ (sk2 @ X0) @ (equilibrium @ X0)))),
% 42.78/6.99 inference('cnf', [status(esa)], [a4_35])).
% 42.78/6.99 thf(zip_derived_cl37, plain,
% 42.78/6.99 (( (greater_or_equal @ (sk2 @ sk3) @ (equilibrium @ sk3))
% 42.78/6.99 | ~ (environment @ sk3))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl16])).
% 42.78/6.99 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/6.99 thf(zip_derived_cl38, plain,
% 42.78/6.99 ( (greater_or_equal @ (sk2 @ sk3) @ (equilibrium @ sk3))),
% 42.78/6.99 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl17])).
% 42.78/6.99 thf(zip_derived_cl2, plain,
% 42.78/6.99 (![X0 : $i, X1 : $i]:
% 42.78/6.99 (~ (greater_or_equal @ X0 @ X1) | (greater @ X0 @ X1) | ((X0) = (X1)))),
% 42.78/6.99 inference('cnf', [status(esa)], [mp_greater_or_equal_21])).
% 42.78/6.99 thf(zip_derived_cl42, plain,
% 42.78/6.99 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/6.99 | (greater @ (sk2 @ sk3) @ (equilibrium @ sk3)))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl2])).
% 42.78/6.99 thf(zip_derived_cl243, plain,
% 42.78/6.99 (( (greater @
% 42.78/6.99 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @
% 42.78/6.99 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/6.99 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/6.99 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/6.99 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/6.99 inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl31])).
% 42.78/6.99 thf(zip_derived_cl19, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/6.99 (sk4 @ X0))
% 42.78/6.99 | ~ (in_environment @ sk3 @ X0))),
% 42.78/6.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/6.99 thf(zip_derived_cl42, plain,
% 42.78/6.99 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/6.99 | (greater @ (sk2 @ sk3) @ (equilibrium @ sk3)))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl2])).
% 42.78/6.99 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/6.99 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/6.99 thf(zip_derived_cl44, plain,
% 42.78/6.99 (![X0 : $i, X1 : $i]:
% 42.78/6.99 (((sk4 @ X0) = (X0))
% 42.78/6.99 | ~ (in_environment @ sk3 @ X0)
% 42.78/6.99 | (greater @ (sk4 @ X0) @ X1)
% 42.78/6.99 | ~ (greater @ X0 @ X1))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 42.78/6.99 thf(zip_derived_cl3, plain,
% 42.78/6.99 (![X0 : $i, X1 : $i]:
% 42.78/6.99 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 42.78/6.99 inference('cnf', [status(esa)], [mp_greater_or_equal_22])).
% 42.78/6.99 thf(l6_27, axiom,
% 42.78/6.99 (( ~( environment @ A ) ) |
% 42.78/6.99 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 42.78/6.99 ( ~( greater_or_equal @ B @ ( equilibrium @ A ) ) ) |
% 42.78/6.99 ( ( growth_rate @ first_movers @ B ) = ( zero ) ) |
% 42.78/6.99 ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) ) |
% 42.78/6.99 ( greater @ zero @ ( growth_rate @ first_movers @ B ) ))).
% 42.78/6.99 thf(zip_derived_cl8, plain,
% 42.78/6.99 (![X0 : $i, X1 : $i]:
% 42.78/6.99 (~ (environment @ X0)
% 42.78/6.99 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/6.99 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 42.78/6.99 | ((growth_rate @ first_movers @ X1) = (zero))
% 42.78/6.99 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 42.78/6.99 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 42.78/6.99 inference('cnf', [status(esa)], [l6_27])).
% 42.78/6.99 thf(zip_derived_cl97, plain,
% 42.78/6.99 (![X0 : $i, X1 : $i]:
% 42.78/6.99 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/6.99 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 42.78/6.99 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 42.78/6.99 | ((growth_rate @ first_movers @ X1) = (zero))
% 42.78/6.99 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/6.99 | ~ (environment @ X0))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 42.78/6.99 thf(zip_derived_cl150, plain,
% 42.78/6.99 (![X0 : $i, X1 : $i]:
% 42.78/6.99 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/6.99 | ~ (in_environment @ sk3 @ X1)
% 42.78/6.99 | ((sk4 @ X1) = (X1))
% 42.78/6.99 | ~ (environment @ X0)
% 42.78/6.99 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/6.99 (sk4 @ X1))
% 42.78/6.99 | ((growth_rate @ first_movers @ (sk4 @ X1)) = (zero))
% 42.78/6.99 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk4 @ X1)))
% 42.78/6.99 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X1))))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl97])).
% 42.78/6.99 thf(zip_derived_cl235, plain,
% 42.78/6.99 (![X0 : $i]:
% 42.78/6.99 ( (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/6.99 | (greater @ zero @
% 42.78/6.99 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 42.78/6.99 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/6.99 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/6.99 (sk4 @ (sk2 @ sk3)))
% 42.78/6.99 | ~ (environment @ X0)
% 42.78/6.99 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/6.99 | ~ (greater @ (sk2 @ sk3) @ (equilibrium @ X0)))),
% 42.78/6.99 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl150])).
% 42.78/6.99 thf(zip_derived_cl403, plain,
% 42.78/7.00 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ~ (environment @ sk3)
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.00 (sk4 @ (sk2 @ sk3)))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | (greater @ zero @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.00 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl235])).
% 42.78/7.00 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.00 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.00 thf(zip_derived_cl404, plain,
% 42.78/7.00 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.00 (sk4 @ (sk2 @ sk3)))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | (greater @ zero @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.00 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.00 inference('demod', [status(thm)], [zip_derived_cl403, zip_derived_cl17])).
% 42.78/7.00 thf(zip_derived_cl19, plain,
% 42.78/7.00 (![X0 : $i]:
% 42.78/7.00 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.00 (sk4 @ X0))
% 42.78/7.00 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/7.00 thf(zip_derived_cl42, plain,
% 42.78/7.00 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | (greater @ (sk2 @ sk3) @ (equilibrium @ sk3)))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl2])).
% 42.78/7.00 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/7.00 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/7.00 thf(zip_derived_cl44, plain,
% 42.78/7.00 (![X0 : $i, X1 : $i]:
% 42.78/7.00 (((sk4 @ X0) = (X0))
% 42.78/7.00 | ~ (in_environment @ sk3 @ X0)
% 42.78/7.00 | (greater @ (sk4 @ X0) @ X1)
% 42.78/7.00 | ~ (greater @ X0 @ X1))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 42.78/7.00 thf(zip_derived_cl3, plain,
% 42.78/7.00 (![X0 : $i, X1 : $i]:
% 42.78/7.00 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 42.78/7.00 inference('cnf', [status(esa)], [mp_greater_or_equal_22])).
% 42.78/7.00 thf(l6_26, axiom,
% 42.78/7.00 (( ~( environment @ A ) ) |
% 42.78/7.00 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 42.78/7.00 ( ~( greater_or_equal @ B @ ( equilibrium @ A ) ) ) |
% 42.78/7.00 ( ( growth_rate @ first_movers @ B ) = ( zero ) ) |
% 42.78/7.00 ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) ) |
% 42.78/7.00 ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ))).
% 42.78/7.00 thf(zip_derived_cl7, plain,
% 42.78/7.00 (![X0 : $i, X1 : $i]:
% 42.78/7.00 (~ (environment @ X0)
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.00 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 42.78/7.00 | ((growth_rate @ first_movers @ X1) = (zero))
% 42.78/7.00 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 42.78/7.00 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero))),
% 42.78/7.00 inference('cnf', [status(esa)], [l6_26])).
% 42.78/7.00 thf(zip_derived_cl92, plain,
% 42.78/7.00 (![X0 : $i, X1 : $i]:
% 42.78/7.00 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.00 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero)
% 42.78/7.00 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 42.78/7.00 | ((growth_rate @ first_movers @ X1) = (zero))
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.00 | ~ (environment @ X0))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl7])).
% 42.78/7.00 thf(zip_derived_cl142, plain,
% 42.78/7.00 (![X0 : $i, X1 : $i]:
% 42.78/7.00 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.00 | ~ (in_environment @ sk3 @ X1)
% 42.78/7.00 | ((sk4 @ X1) = (X1))
% 42.78/7.00 | ~ (environment @ X0)
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.00 (sk4 @ X1))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ X1)) = (zero))
% 42.78/7.00 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk4 @ X1)))
% 42.78/7.00 | (greater @ (growth_rate @ efficient_producers @ (sk4 @ X1)) @ zero))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl92])).
% 42.78/7.00 thf(zip_derived_cl233, plain,
% 42.78/7.00 (![X0 : $i]:
% 42.78/7.00 ( (greater @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.00 | (greater @ zero @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.00 (sk4 @ (sk2 @ sk3)))
% 42.78/7.00 | ~ (environment @ X0)
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ~ (greater @ (sk2 @ sk3) @ (equilibrium @ X0)))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl142])).
% 42.78/7.00 thf(zip_derived_cl399, plain,
% 42.78/7.00 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ~ (environment @ sk3)
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.00 (sk4 @ (sk2 @ sk3)))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | (greater @ zero @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.00 | (greater @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl233])).
% 42.78/7.00 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.00 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.00 thf(zip_derived_cl400, plain,
% 42.78/7.00 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.00 (sk4 @ (sk2 @ sk3)))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | (greater @ zero @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.00 | (greater @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero))),
% 42.78/7.00 inference('demod', [status(thm)], [zip_derived_cl399, zip_derived_cl17])).
% 42.78/7.00 thf(zip_derived_cl450, plain,
% 42.78/7.00 ((~ (in_environment @ sk3 @ (sk2 @ sk3))
% 42.78/7.00 | (greater @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.00 | (greater @ zero @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl400])).
% 42.78/7.00 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/7.00 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/7.00 thf(zip_derived_cl451, plain,
% 42.78/7.00 (( (greater @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.00 | (greater @ zero @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.00 inference('demod', [status(thm)], [zip_derived_cl450, zip_derived_cl31])).
% 42.78/7.00 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/7.00 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/7.00 thf(prove_l11_40, conjecture,
% 42.78/7.00 (~( ( ~( greater @ zero @ ( growth_rate @ first_movers @ ( sk4 @ A ) ) ) ) |
% 42.78/7.00 ( ~( greater @
% 42.78/7.00 ( growth_rate @ efficient_producers @ ( sk4 @ A ) ) @ zero ) ) |
% 42.78/7.00 ( ~( in_environment @ sk3 @ A ) ) ))).
% 42.78/7.00 thf(zf_stmt_4, negated_conjecture,
% 42.78/7.00 (( ~( greater @ zero @ ( growth_rate @ first_movers @ ( sk4 @ A ) ) ) ) |
% 42.78/7.00 ( ~( greater @ ( growth_rate @ efficient_producers @ ( sk4 @ A ) ) @ zero ) ) |
% 42.78/7.00 ( ~( in_environment @ sk3 @ A ) )),
% 42.78/7.00 inference('cnf.neg', [status(esa)], [prove_l11_40])).
% 42.78/7.00 thf(zip_derived_cl21, plain,
% 42.78/7.00 (![X0 : $i]:
% 42.78/7.00 (~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0)))
% 42.78/7.00 | ~ (greater @ (growth_rate @ efficient_producers @ (sk4 @ X0)) @
% 42.78/7.00 zero)
% 42.78/7.00 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.00 inference('cnf', [status(esa)], [zf_stmt_4])).
% 42.78/7.00 thf(zip_derived_cl41, plain,
% 42.78/7.00 ((~ (greater @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.00 | ~ (greater @ zero @
% 42.78/7.00 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl21])).
% 42.78/7.00 thf(zip_derived_cl453, plain,
% 42.78/7.00 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | (greater @ zero @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.00 | ~ (greater @ zero @
% 42.78/7.00 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl451, zip_derived_cl41])).
% 42.78/7.00 thf(zip_derived_cl489, plain,
% 42.78/7.00 (( (greater @ zero @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.00 (sk4 @ (sk2 @ sk3)))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.00 inference('clc', [status(thm)], [zip_derived_cl404, zip_derived_cl453])).
% 42.78/7.00 thf(zip_derived_cl490, plain,
% 42.78/7.00 ((~ (in_environment @ sk3 @ (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | (greater @ zero @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl489])).
% 42.78/7.00 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/7.00 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/7.00 thf(zip_derived_cl491, plain,
% 42.78/7.00 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | (greater @ zero @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.00 inference('demod', [status(thm)], [zip_derived_cl490, zip_derived_cl31])).
% 42.78/7.00 thf(zip_derived_cl0, plain,
% 42.78/7.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.78/7.00 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 42.78/7.00 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 42.78/7.00 thf(zip_derived_cl492, plain,
% 42.78/7.00 (![X0 : $i]:
% 42.78/7.00 (((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | (greater @ zero @ X0)
% 42.78/7.00 | ~ (greater @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ X0))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl491, zip_derived_cl0])).
% 42.78/7.00 thf(zip_derived_cl506, plain,
% 42.78/7.00 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.00 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero)))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl243, zip_derived_cl492])).
% 42.78/7.00 thf(zip_derived_cl509, plain,
% 42.78/7.00 ((((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.00 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.00 inference('simplify', [status(thm)], [zip_derived_cl506])).
% 42.78/7.00 thf(zip_derived_cl19, plain,
% 42.78/7.00 (![X0 : $i]:
% 42.78/7.00 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.00 (sk4 @ X0))
% 42.78/7.00 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/7.00 thf(zip_derived_cl42, plain,
% 42.78/7.00 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | (greater @ (sk2 @ sk3) @ (equilibrium @ sk3)))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl2])).
% 42.78/7.00 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/7.00 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/7.00 thf(zip_derived_cl44, plain,
% 42.78/7.00 (![X0 : $i, X1 : $i]:
% 42.78/7.00 (((sk4 @ X0) = (X0))
% 42.78/7.00 | ~ (in_environment @ sk3 @ X0)
% 42.78/7.00 | (greater @ (sk4 @ X0) @ X1)
% 42.78/7.00 | ~ (greater @ X0 @ X1))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 42.78/7.00 thf(zip_derived_cl3, plain,
% 42.78/7.00 (![X0 : $i, X1 : $i]:
% 42.78/7.00 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 42.78/7.00 inference('cnf', [status(esa)], [mp_greater_or_equal_22])).
% 42.78/7.00 thf(l6_25, axiom,
% 42.78/7.00 (( ~( environment @ A ) ) |
% 42.78/7.00 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 42.78/7.00 ( ~( greater_or_equal @ B @ ( equilibrium @ A ) ) ) |
% 42.78/7.00 ( ( growth_rate @ first_movers @ B ) = ( zero ) ) |
% 42.78/7.00 ( greater @ ( growth_rate @ first_movers @ B ) @ zero ) |
% 42.78/7.00 ( greater @ zero @ ( growth_rate @ first_movers @ B ) ))).
% 42.78/7.00 thf(zip_derived_cl6, plain,
% 42.78/7.00 (![X0 : $i, X1 : $i]:
% 42.78/7.00 (~ (environment @ X0)
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.00 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 42.78/7.00 | ((growth_rate @ first_movers @ X1) = (zero))
% 42.78/7.00 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 42.78/7.00 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 42.78/7.00 inference('cnf', [status(esa)], [l6_25])).
% 42.78/7.00 thf(zip_derived_cl87, plain,
% 42.78/7.00 (![X0 : $i, X1 : $i]:
% 42.78/7.00 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.00 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 42.78/7.00 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 42.78/7.00 | ((growth_rate @ first_movers @ X1) = (zero))
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.00 | ~ (environment @ X0))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 42.78/7.00 thf(zip_derived_cl134, plain,
% 42.78/7.00 (![X0 : $i, X1 : $i]:
% 42.78/7.00 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.00 | ~ (in_environment @ sk3 @ X1)
% 42.78/7.00 | ((sk4 @ X1) = (X1))
% 42.78/7.00 | ~ (environment @ X0)
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.00 (sk4 @ X1))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ X1)) = (zero))
% 42.78/7.00 | (greater @ (growth_rate @ first_movers @ (sk4 @ X1)) @ zero)
% 42.78/7.00 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X1))))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl87])).
% 42.78/7.00 thf(zip_derived_cl231, plain,
% 42.78/7.00 (![X0 : $i]:
% 42.78/7.00 ( (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.00 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @
% 42.78/7.00 zero)
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.00 (sk4 @ (sk2 @ sk3)))
% 42.78/7.00 | ~ (environment @ X0)
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ~ (greater @ (sk2 @ sk3) @ (equilibrium @ X0)))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl134])).
% 42.78/7.00 thf(zip_derived_cl395, plain,
% 42.78/7.00 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ~ (environment @ sk3)
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.00 (sk4 @ (sk2 @ sk3)))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.00 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl231])).
% 42.78/7.00 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.00 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.00 thf(zip_derived_cl396, plain,
% 42.78/7.00 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.00 (sk4 @ (sk2 @ sk3)))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.00 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.00 inference('demod', [status(thm)], [zip_derived_cl395, zip_derived_cl17])).
% 42.78/7.00 thf(zip_derived_cl19, plain,
% 42.78/7.00 (![X0 : $i]:
% 42.78/7.00 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.00 (sk4 @ X0))
% 42.78/7.00 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/7.00 thf(zip_derived_cl42, plain,
% 42.78/7.00 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | (greater @ (sk2 @ sk3) @ (equilibrium @ sk3)))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl2])).
% 42.78/7.00 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/7.00 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/7.00 thf(zip_derived_cl44, plain,
% 42.78/7.00 (![X0 : $i, X1 : $i]:
% 42.78/7.00 (((sk4 @ X0) = (X0))
% 42.78/7.00 | ~ (in_environment @ sk3 @ X0)
% 42.78/7.00 | (greater @ (sk4 @ X0) @ X1)
% 42.78/7.00 | ~ (greater @ X0 @ X1))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 42.78/7.00 thf(zip_derived_cl3, plain,
% 42.78/7.00 (![X0 : $i, X1 : $i]:
% 42.78/7.00 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 42.78/7.00 inference('cnf', [status(esa)], [mp_greater_or_equal_22])).
% 42.78/7.00 thf(l6_24, axiom,
% 42.78/7.00 (( ~( environment @ A ) ) |
% 42.78/7.00 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 42.78/7.00 ( ~( greater_or_equal @ B @ ( equilibrium @ A ) ) ) |
% 42.78/7.00 ( ( growth_rate @ first_movers @ B ) = ( zero ) ) |
% 42.78/7.00 ( greater @ ( growth_rate @ first_movers @ B ) @ zero ) |
% 42.78/7.00 ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ))).
% 42.78/7.00 thf(zip_derived_cl5, plain,
% 42.78/7.00 (![X0 : $i, X1 : $i]:
% 42.78/7.00 (~ (environment @ X0)
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.00 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 42.78/7.00 | ((growth_rate @ first_movers @ X1) = (zero))
% 42.78/7.00 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 42.78/7.00 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero))),
% 42.78/7.00 inference('cnf', [status(esa)], [l6_24])).
% 42.78/7.00 thf(zip_derived_cl81, plain,
% 42.78/7.00 (![X0 : $i, X1 : $i]:
% 42.78/7.00 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.00 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero)
% 42.78/7.00 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 42.78/7.00 | ((growth_rate @ first_movers @ X1) = (zero))
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.00 | ~ (environment @ X0))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 42.78/7.00 thf(zip_derived_cl126, plain,
% 42.78/7.00 (![X0 : $i, X1 : $i]:
% 42.78/7.00 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.00 | ~ (in_environment @ sk3 @ X1)
% 42.78/7.00 | ((sk4 @ X1) = (X1))
% 42.78/7.00 | ~ (environment @ X0)
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.00 (sk4 @ X1))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ X1)) = (zero))
% 42.78/7.00 | (greater @ (growth_rate @ first_movers @ (sk4 @ X1)) @ zero)
% 42.78/7.00 | (greater @ (growth_rate @ efficient_producers @ (sk4 @ X1)) @ zero))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl81])).
% 42.78/7.00 thf(zip_derived_cl229, plain,
% 42.78/7.00 (![X0 : $i]:
% 42.78/7.00 ( (greater @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.00 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @
% 42.78/7.00 zero)
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.00 (sk4 @ (sk2 @ sk3)))
% 42.78/7.00 | ~ (environment @ X0)
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ~ (greater @ (sk2 @ sk3) @ (equilibrium @ X0)))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl126])).
% 42.78/7.00 thf(zip_derived_cl370, plain,
% 42.78/7.00 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ~ (environment @ sk3)
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.00 (sk4 @ (sk2 @ sk3)))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.00 | (greater @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl229])).
% 42.78/7.00 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.00 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.00 thf(zip_derived_cl371, plain,
% 42.78/7.00 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.00 (sk4 @ (sk2 @ sk3)))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.00 | (greater @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero))),
% 42.78/7.00 inference('demod', [status(thm)], [zip_derived_cl370, zip_derived_cl17])).
% 42.78/7.00 thf(zip_derived_cl372, plain,
% 42.78/7.00 ((~ (in_environment @ sk3 @ (sk2 @ sk3))
% 42.78/7.00 | (greater @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.00 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl371])).
% 42.78/7.00 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/7.00 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/7.00 thf(zip_derived_cl373, plain,
% 42.78/7.00 (( (greater @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.00 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.00 inference('demod', [status(thm)], [zip_derived_cl372, zip_derived_cl31])).
% 42.78/7.00 thf(zip_derived_cl41, plain,
% 42.78/7.00 ((~ (greater @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.00 | ~ (greater @ zero @
% 42.78/7.00 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl21])).
% 42.78/7.00 thf(zip_derived_cl375, plain,
% 42.78/7.00 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.00 | ~ (greater @ zero @
% 42.78/7.00 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl373, zip_derived_cl41])).
% 42.78/7.00 thf(zip_derived_cl413, plain,
% 42.78/7.00 (( (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.00 (sk4 @ (sk2 @ sk3)))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.00 inference('clc', [status(thm)], [zip_derived_cl396, zip_derived_cl375])).
% 42.78/7.00 thf(zip_derived_cl414, plain,
% 42.78/7.00 ((~ (in_environment @ sk3 @ (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl413])).
% 42.78/7.00 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/7.00 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/7.00 thf(zip_derived_cl415, plain,
% 42.78/7.00 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero))),
% 42.78/7.00 inference('demod', [status(thm)], [zip_derived_cl414, zip_derived_cl31])).
% 42.78/7.00 thf(zip_derived_cl243, plain,
% 42.78/7.00 (( (greater @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @
% 42.78/7.00 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.00 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.00 inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl31])).
% 42.78/7.00 thf(zip_derived_cl0, plain,
% 42.78/7.00 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.78/7.00 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 42.78/7.00 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 42.78/7.00 thf(zip_derived_cl244, plain,
% 42.78/7.00 (![X0 : $i]:
% 42.78/7.00 ( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | (greater @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ X0)
% 42.78/7.00 | ~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @
% 42.78/7.00 X0))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl243, zip_derived_cl0])).
% 42.78/7.00 thf(zip_derived_cl41, plain,
% 42.78/7.00 ((~ (greater @
% 42.78/7.00 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.00 | ~ (greater @ zero @
% 42.78/7.00 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl21])).
% 42.78/7.00 thf(zip_derived_cl255, plain,
% 42.78/7.00 ((~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.00 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.00 | ~ (greater @ zero @
% 42.78/7.00 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl244, zip_derived_cl41])).
% 42.78/7.00 thf(zip_derived_cl418, plain,
% 42.78/7.00 ((((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ~ (greater @ zero @
% 42.78/7.00 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.00 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3)))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl415, zip_derived_cl255])).
% 42.78/7.00 thf(zip_derived_cl420, plain,
% 42.78/7.00 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.00 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.00 | ~ (greater @ zero @
% 42.78/7.00 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.00 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero)))),
% 42.78/7.00 inference('simplify', [status(thm)], [zip_derived_cl418])).
% 42.78/7.00 thf(zip_derived_cl526, plain,
% 42.78/7.00 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl509, zip_derived_cl420])).
% 42.78/7.00 thf(zip_derived_cl529, plain,
% 42.78/7.00 ((((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.00 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.00 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.00 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.00 inference('simplify', [status(thm)], [zip_derived_cl526])).
% 42.78/7.00 thf(zip_derived_cl19, plain,
% 42.78/7.00 (![X0 : $i]:
% 42.78/7.00 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.00 (sk4 @ X0))
% 42.78/7.00 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/7.00 thf(zip_derived_cl42, plain,
% 42.78/7.00 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.00 | (greater @ (sk2 @ sk3) @ (equilibrium @ sk3)))),
% 42.78/7.00 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl2])).
% 42.78/7.00 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/7.00 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/7.01 thf(zip_derived_cl44, plain,
% 42.78/7.01 (![X0 : $i, X1 : $i]:
% 42.78/7.01 (((sk4 @ X0) = (X0))
% 42.78/7.01 | ~ (in_environment @ sk3 @ X0)
% 42.78/7.01 | (greater @ (sk4 @ X0) @ X1)
% 42.78/7.01 | ~ (greater @ X0 @ X1))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 42.78/7.01 thf(zip_derived_cl3, plain,
% 42.78/7.01 (![X0 : $i, X1 : $i]:
% 42.78/7.01 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 42.78/7.01 inference('cnf', [status(esa)], [mp_greater_or_equal_22])).
% 42.78/7.01 thf(l6_29, axiom,
% 42.78/7.01 (( ~( environment @ A ) ) |
% 42.78/7.01 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 42.78/7.01 ( ~( greater_or_equal @ B @ ( equilibrium @ A ) ) ) |
% 42.78/7.01 ( ( growth_rate @ efficient_producers @ B ) = ( zero ) ) |
% 42.78/7.01 ( greater @ ( growth_rate @ first_movers @ B ) @ zero ) |
% 42.78/7.01 ( greater @ zero @ ( growth_rate @ first_movers @ B ) ))).
% 42.78/7.01 thf(zip_derived_cl10, plain,
% 42.78/7.01 (![X0 : $i, X1 : $i]:
% 42.78/7.01 (~ (environment @ X0)
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.01 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 42.78/7.01 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 42.78/7.01 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 42.78/7.01 inference('cnf', [status(esa)], [l6_29])).
% 42.78/7.01 thf(zip_derived_cl107, plain,
% 42.78/7.01 (![X0 : $i, X1 : $i]:
% 42.78/7.01 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.01 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 42.78/7.01 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.01 | ~ (environment @ X0))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl10])).
% 42.78/7.01 thf(zip_derived_cl175, plain,
% 42.78/7.01 (![X0 : $i, X1 : $i]:
% 42.78/7.01 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.01 | ~ (in_environment @ sk3 @ X1)
% 42.78/7.01 | ((sk4 @ X1) = (X1))
% 42.78/7.01 | ~ (environment @ X0)
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.01 (sk4 @ X1))
% 42.78/7.01 | ((growth_rate @ efficient_producers @ (sk4 @ X1)) = (zero))
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ (sk4 @ X1)) @ zero)
% 42.78/7.01 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X1))))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl107])).
% 42.78/7.01 thf(zip_derived_cl239, plain,
% 42.78/7.01 (![X0 : $i]:
% 42.78/7.01 ( (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @
% 42.78/7.01 zero)
% 42.78/7.01 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.01 (sk4 @ (sk2 @ sk3)))
% 42.78/7.01 | ~ (environment @ X0)
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ~ (greater @ (sk2 @ sk3) @ (equilibrium @ X0)))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl175])).
% 42.78/7.01 thf(zip_derived_cl411, plain,
% 42.78/7.01 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ~ (environment @ sk3)
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.01 (sk4 @ (sk2 @ sk3)))
% 42.78/7.01 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.01 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl239])).
% 42.78/7.01 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.01 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.01 thf(zip_derived_cl412, plain,
% 42.78/7.01 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.01 (sk4 @ (sk2 @ sk3)))
% 42.78/7.01 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.01 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.01 inference('demod', [status(thm)], [zip_derived_cl411, zip_derived_cl17])).
% 42.78/7.01 thf(zip_derived_cl573, plain,
% 42.78/7.01 ((~ (in_environment @ sk3 @ (sk2 @ sk3))
% 42.78/7.01 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.01 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl412])).
% 42.78/7.01 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/7.01 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/7.01 thf(zip_derived_cl574, plain,
% 42.78/7.01 (( (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.01 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.01 inference('demod', [status(thm)], [zip_derived_cl573, zip_derived_cl31])).
% 42.78/7.01 thf(zip_derived_cl19, plain,
% 42.78/7.01 (![X0 : $i]:
% 42.78/7.01 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.01 (sk4 @ X0))
% 42.78/7.01 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/7.01 thf(zip_derived_cl42, plain,
% 42.78/7.01 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | (greater @ (sk2 @ sk3) @ (equilibrium @ sk3)))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl2])).
% 42.78/7.01 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/7.01 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/7.01 thf(zip_derived_cl44, plain,
% 42.78/7.01 (![X0 : $i, X1 : $i]:
% 42.78/7.01 (((sk4 @ X0) = (X0))
% 42.78/7.01 | ~ (in_environment @ sk3 @ X0)
% 42.78/7.01 | (greater @ (sk4 @ X0) @ X1)
% 42.78/7.01 | ~ (greater @ X0 @ X1))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 42.78/7.01 thf(zip_derived_cl3, plain,
% 42.78/7.01 (![X0 : $i, X1 : $i]:
% 42.78/7.01 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 42.78/7.01 inference('cnf', [status(esa)], [mp_greater_or_equal_22])).
% 42.78/7.01 thf(l6_28, axiom,
% 42.78/7.01 (( ~( environment @ A ) ) |
% 42.78/7.01 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 42.78/7.01 ( ~( greater_or_equal @ B @ ( equilibrium @ A ) ) ) |
% 42.78/7.01 ( ( growth_rate @ efficient_producers @ B ) = ( zero ) ) |
% 42.78/7.01 ( greater @ ( growth_rate @ first_movers @ B ) @ zero ) |
% 42.78/7.01 ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ))).
% 42.78/7.01 thf(zip_derived_cl9, plain,
% 42.78/7.01 (![X0 : $i, X1 : $i]:
% 42.78/7.01 (~ (environment @ X0)
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.01 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 42.78/7.01 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 42.78/7.01 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero))),
% 42.78/7.01 inference('cnf', [status(esa)], [l6_28])).
% 42.78/7.01 thf(zip_derived_cl102, plain,
% 42.78/7.01 (![X0 : $i, X1 : $i]:
% 42.78/7.01 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.01 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero)
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 42.78/7.01 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.01 | ~ (environment @ X0))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 42.78/7.01 thf(zip_derived_cl167, plain,
% 42.78/7.01 (![X0 : $i, X1 : $i]:
% 42.78/7.01 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.01 | ~ (in_environment @ sk3 @ X1)
% 42.78/7.01 | ((sk4 @ X1) = (X1))
% 42.78/7.01 | ~ (environment @ X0)
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.01 (sk4 @ X1))
% 42.78/7.01 | ((growth_rate @ efficient_producers @ (sk4 @ X1)) = (zero))
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ (sk4 @ X1)) @ zero)
% 42.78/7.01 | (greater @ (growth_rate @ efficient_producers @ (sk4 @ X1)) @ zero))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl102])).
% 42.78/7.01 thf(zip_derived_cl237, plain,
% 42.78/7.01 (![X0 : $i]:
% 42.78/7.01 ( (greater @
% 42.78/7.01 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @
% 42.78/7.01 zero)
% 42.78/7.01 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.01 (sk4 @ (sk2 @ sk3)))
% 42.78/7.01 | ~ (environment @ X0)
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ~ (greater @ (sk2 @ sk3) @ (equilibrium @ X0)))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl167])).
% 42.78/7.01 thf(zip_derived_cl407, plain,
% 42.78/7.01 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ~ (environment @ sk3)
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.01 (sk4 @ (sk2 @ sk3)))
% 42.78/7.01 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.01 | (greater @
% 42.78/7.01 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl237])).
% 42.78/7.01 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.01 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.01 thf(zip_derived_cl408, plain,
% 42.78/7.01 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.01 (sk4 @ (sk2 @ sk3)))
% 42.78/7.01 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.01 | (greater @
% 42.78/7.01 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero))),
% 42.78/7.01 inference('demod', [status(thm)], [zip_derived_cl407, zip_derived_cl17])).
% 42.78/7.01 thf(zip_derived_cl571, plain,
% 42.78/7.01 ((~ (in_environment @ sk3 @ (sk2 @ sk3))
% 42.78/7.01 | (greater @
% 42.78/7.01 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.01 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl408])).
% 42.78/7.01 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/7.01 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/7.01 thf(zip_derived_cl572, plain,
% 42.78/7.01 (( (greater @
% 42.78/7.01 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.01 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.01 inference('demod', [status(thm)], [zip_derived_cl571, zip_derived_cl31])).
% 42.78/7.01 thf(zip_derived_cl41, plain,
% 42.78/7.01 ((~ (greater @
% 42.78/7.01 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.01 | ~ (greater @ zero @
% 42.78/7.01 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl21])).
% 42.78/7.01 thf(zip_derived_cl586, plain,
% 42.78/7.01 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.01 | ~ (greater @ zero @
% 42.78/7.01 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl572, zip_derived_cl41])).
% 42.78/7.01 thf(zip_derived_cl591, plain,
% 42.78/7.01 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero))),
% 42.78/7.01 inference('clc', [status(thm)], [zip_derived_cl574, zip_derived_cl586])).
% 42.78/7.01 thf(zip_derived_cl529, plain,
% 42.78/7.01 ((((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.01 inference('simplify', [status(thm)], [zip_derived_cl526])).
% 42.78/7.01 thf(zip_derived_cl243, plain,
% 42.78/7.01 (( (greater @
% 42.78/7.01 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @
% 42.78/7.01 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.01 inference('demod', [status(thm)], [zip_derived_cl242, zip_derived_cl31])).
% 42.78/7.01 thf(zip_derived_cl530, plain,
% 42.78/7.01 (( (greater @
% 42.78/7.01 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3)))),
% 42.78/7.01 inference('sup+', [status(thm)], [zip_derived_cl529, zip_derived_cl243])).
% 42.78/7.01 thf(zip_derived_cl535, plain,
% 42.78/7.01 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | (greater @
% 42.78/7.01 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero))),
% 42.78/7.01 inference('simplify', [status(thm)], [zip_derived_cl530])).
% 42.78/7.01 thf(zip_derived_cl598, plain,
% 42.78/7.01 (( (greater @ zero @ zero)
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.01 inference('sup+', [status(thm)], [zip_derived_cl591, zip_derived_cl535])).
% 42.78/7.01 thf(zip_derived_cl605, plain,
% 42.78/7.01 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.01 | (greater @ zero @ zero))),
% 42.78/7.01 inference('simplify', [status(thm)], [zip_derived_cl598])).
% 42.78/7.01 thf(zip_derived_cl529, plain,
% 42.78/7.01 ((((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.01 inference('simplify', [status(thm)], [zip_derived_cl526])).
% 42.78/7.01 thf(zip_derived_cl535, plain,
% 42.78/7.01 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | (greater @
% 42.78/7.01 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero))),
% 42.78/7.01 inference('simplify', [status(thm)], [zip_derived_cl530])).
% 42.78/7.01 thf(zip_derived_cl41, plain,
% 42.78/7.01 ((~ (greater @
% 42.78/7.01 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.01 | ~ (greater @ zero @
% 42.78/7.01 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl21])).
% 42.78/7.01 thf(zip_derived_cl543, plain,
% 42.78/7.01 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ~ (greater @ zero @
% 42.78/7.01 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl535, zip_derived_cl41])).
% 42.78/7.01 thf(zip_derived_cl546, plain,
% 42.78/7.01 ((~ (greater @ zero @ zero)
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl529, zip_derived_cl543])).
% 42.78/7.01 thf(zip_derived_cl547, plain,
% 42.78/7.01 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | ~ (greater @ zero @ zero))),
% 42.78/7.01 inference('simplify', [status(thm)], [zip_derived_cl546])).
% 42.78/7.01 thf(zip_derived_cl608, plain,
% 42.78/7.01 (( (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.01 inference('clc', [status(thm)], [zip_derived_cl605, zip_derived_cl547])).
% 42.78/7.01 thf(zip_derived_cl612, plain,
% 42.78/7.01 (( (greater @ zero @ zero)
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3)))),
% 42.78/7.01 inference('sup+', [status(thm)], [zip_derived_cl529, zip_derived_cl608])).
% 42.78/7.01 thf(zip_derived_cl613, plain,
% 42.78/7.01 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | (greater @ zero @ zero))),
% 42.78/7.01 inference('simplify', [status(thm)], [zip_derived_cl612])).
% 42.78/7.01 thf(zip_derived_cl547, plain,
% 42.78/7.01 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | ~ (greater @ zero @ zero))),
% 42.78/7.01 inference('simplify', [status(thm)], [zip_derived_cl546])).
% 42.78/7.01 thf(zip_derived_cl616, plain,
% 42.78/7.01 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.01 inference('clc', [status(thm)], [zip_derived_cl613, zip_derived_cl547])).
% 42.78/7.01 thf(zip_derived_cl19, plain,
% 42.78/7.01 (![X0 : $i]:
% 42.78/7.01 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.01 (sk4 @ X0))
% 42.78/7.01 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.01 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/7.01 thf(zip_derived_cl617, plain,
% 42.78/7.01 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.01 (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | ~ (in_environment @ sk3 @ (sk2 @ sk3)))),
% 42.78/7.01 inference('sup+', [status(thm)], [zip_derived_cl616, zip_derived_cl19])).
% 42.78/7.01 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/7.01 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/7.01 thf(zip_derived_cl637, plain,
% 42.78/7.01 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.01 (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.01 inference('demod', [status(thm)], [zip_derived_cl617, zip_derived_cl31])).
% 42.78/7.01 thf(zip_derived_cl52, plain,
% 42.78/7.01 (( (greater @ (sk2 @ sk3) @ (sk1 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl47])).
% 42.78/7.01 thf(zip_derived_cl57, plain,
% 42.78/7.01 (![X0 : $i, X1 : $i]:
% 42.78/7.01 (~ (greater @ X1 @ (sk1 @ X0))
% 42.78/7.01 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 42.78/7.01 (growth_rate @ first_movers @ X1))
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.01 | ~ (stable @ X0)
% 42.78/7.01 | ~ (environment @ X0))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl14])).
% 42.78/7.01 thf(zip_derived_cl61, plain,
% 42.78/7.01 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | ~ (environment @ sk3)
% 42.78/7.01 | ~ (stable @ sk3)
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.01 (sk2 @ sk3))
% 42.78/7.01 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 42.78/7.01 (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl57])).
% 42.78/7.01 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.01 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.01 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 42.78/7.01 inference('cnf', [status(esa)], [zf_stmt_2])).
% 42.78/7.01 thf(zip_derived_cl64, plain,
% 42.78/7.01 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.01 (sk2 @ sk3))
% 42.78/7.01 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 42.78/7.01 (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 42.78/7.01 inference('demod', [status(thm)],
% 42.78/7.01 [zip_derived_cl61, zip_derived_cl17, zip_derived_cl18])).
% 42.78/7.01 thf(zip_derived_cl656, plain,
% 42.78/7.01 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 42.78/7.01 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl637, zip_derived_cl64])).
% 42.78/7.01 thf(zip_derived_cl665, plain,
% 42.78/7.01 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 42.78/7.01 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.01 inference('simplify', [status(thm)], [zip_derived_cl656])).
% 42.78/7.01 thf(zip_derived_cl637, plain,
% 42.78/7.01 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.01 (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.01 inference('demod', [status(thm)], [zip_derived_cl617, zip_derived_cl31])).
% 42.78/7.01 thf(zip_derived_cl38, plain,
% 42.78/7.01 ( (greater_or_equal @ (sk2 @ sk3) @ (equilibrium @ sk3))),
% 42.78/7.01 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl17])).
% 42.78/7.01 thf(zip_derived_cl8, plain,
% 42.78/7.01 (![X0 : $i, X1 : $i]:
% 42.78/7.01 (~ (environment @ X0)
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.01 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 42.78/7.01 | ((growth_rate @ first_movers @ X1) = (zero))
% 42.78/7.01 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 42.78/7.01 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 42.78/7.01 inference('cnf', [status(esa)], [l6_27])).
% 42.78/7.01 thf(zip_derived_cl99, plain,
% 42.78/7.01 (( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 42.78/7.01 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk2 @ sk3)))
% 42.78/7.01 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.01 (sk2 @ sk3))
% 42.78/7.01 | ~ (environment @ sk3))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl8])).
% 42.78/7.01 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.01 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.01 thf(zip_derived_cl101, plain,
% 42.78/7.01 (( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 42.78/7.01 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk2 @ sk3)))
% 42.78/7.01 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.01 (sk2 @ sk3)))),
% 42.78/7.01 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl17])).
% 42.78/7.01 thf(zip_derived_cl660, plain,
% 42.78/7.01 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.01 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk2 @ sk3)))
% 42.78/7.01 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 42.78/7.01 inference('sup-', [status(thm)], [zip_derived_cl637, zip_derived_cl101])).
% 42.78/7.01 thf(zip_derived_cl616, plain,
% 42.78/7.01 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.01 inference('clc', [status(thm)], [zip_derived_cl613, zip_derived_cl547])).
% 42.78/7.01 thf(zip_derived_cl637, plain,
% 42.78/7.01 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.01 (sk2 @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.01 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.01 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.01 inference('demod', [status(thm)], [zip_derived_cl617, zip_derived_cl31])).
% 42.78/7.01 thf(zip_derived_cl38, plain,
% 42.78/7.01 ( (greater_or_equal @ (sk2 @ sk3) @ (equilibrium @ sk3))),
% 42.78/7.01 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl17])).
% 42.78/7.01 thf(zip_derived_cl5, plain,
% 42.78/7.01 (![X0 : $i, X1 : $i]:
% 42.78/7.01 (~ (environment @ X0)
% 42.78/7.01 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.02 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 42.78/7.02 | ((growth_rate @ first_movers @ X1) = (zero))
% 42.78/7.02 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 42.78/7.02 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero))),
% 42.78/7.02 inference('cnf', [status(esa)], [l6_24])).
% 42.78/7.02 thf(zip_derived_cl83, plain,
% 42.78/7.02 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 42.78/7.02 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 42.78/7.02 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.02 (sk2 @ sk3))
% 42.78/7.02 | ~ (environment @ sk3))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl5])).
% 42.78/7.02 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.02 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.02 thf(zip_derived_cl85, plain,
% 42.78/7.02 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 42.78/7.02 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 42.78/7.02 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.02 (sk2 @ sk3)))),
% 42.78/7.02 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl17])).
% 42.78/7.02 thf(zip_derived_cl657, plain,
% 42.78/7.02 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 42.78/7.02 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl637, zip_derived_cl85])).
% 42.78/7.02 thf(zip_derived_cl665, plain,
% 42.78/7.02 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 42.78/7.02 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.02 inference('simplify', [status(thm)], [zip_derived_cl656])).
% 42.78/7.02 thf(zip_derived_cl0, plain,
% 42.78/7.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.78/7.02 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 42.78/7.02 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 42.78/7.02 thf(zip_derived_cl670, plain,
% 42.78/7.02 (![X0 : $i]:
% 42.78/7.02 ( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ X0)
% 42.78/7.02 | ~ (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ X0))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl665, zip_derived_cl0])).
% 42.78/7.02 thf(zip_derived_cl798, plain,
% 42.78/7.02 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 42.78/7.02 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.02 inference('clc', [status(thm)], [zip_derived_cl657, zip_derived_cl670])).
% 42.78/7.02 thf(zip_derived_cl616, plain,
% 42.78/7.02 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.02 inference('clc', [status(thm)], [zip_derived_cl613, zip_derived_cl547])).
% 42.78/7.02 thf(zip_derived_cl41, plain,
% 42.78/7.02 ((~ (greater @
% 42.78/7.02 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.02 | ~ (greater @ zero @
% 42.78/7.02 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl21])).
% 42.78/7.02 thf(zip_derived_cl621, plain,
% 42.78/7.02 ((~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ~ (greater @ zero @
% 42.78/7.02 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl616, zip_derived_cl41])).
% 42.78/7.02 thf(zip_derived_cl800, plain,
% 42.78/7.02 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | ~ (greater @ zero @
% 42.78/7.02 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl798, zip_derived_cl621])).
% 42.78/7.02 thf(zip_derived_cl801, plain,
% 42.78/7.02 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.02 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.02 inference('simplify', [status(thm)], [zip_derived_cl800])).
% 42.78/7.02 thf(zip_derived_cl802, plain,
% 42.78/7.02 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero)))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl616, zip_derived_cl801])).
% 42.78/7.02 thf(zip_derived_cl803, plain,
% 42.78/7.02 ((((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 42.78/7.02 inference('simplify', [status(thm)], [zip_derived_cl802])).
% 42.78/7.02 thf(zip_derived_cl819, plain,
% 42.78/7.02 (( (greater @ zero @ (growth_rate @ efficient_producers @ (sk2 @ sk3)))
% 42.78/7.02 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.02 inference('clc', [status(thm)], [zip_derived_cl660, zip_derived_cl803])).
% 42.78/7.02 thf(zip_derived_cl0, plain,
% 42.78/7.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.78/7.02 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 42.78/7.02 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 42.78/7.02 thf(zip_derived_cl820, plain,
% 42.78/7.02 (![X0 : $i]:
% 42.78/7.02 ( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | (greater @ zero @ X0)
% 42.78/7.02 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ X0))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl819, zip_derived_cl0])).
% 42.78/7.02 thf(zip_derived_cl840, plain,
% 42.78/7.02 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 42.78/7.02 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl665, zip_derived_cl820])).
% 42.78/7.02 thf(zip_derived_cl846, plain,
% 42.78/7.02 ((((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.02 inference('simplify', [status(thm)], [zip_derived_cl840])).
% 42.78/7.02 thf(zip_derived_cl803, plain,
% 42.78/7.02 ((((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 42.78/7.02 inference('simplify', [status(thm)], [zip_derived_cl802])).
% 42.78/7.02 thf(zip_derived_cl1038, plain,
% 42.78/7.02 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero)))),
% 42.78/7.02 inference('clc', [status(thm)], [zip_derived_cl846, zip_derived_cl803])).
% 42.78/7.02 thf(zip_derived_cl616, plain,
% 42.78/7.02 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.02 inference('clc', [status(thm)], [zip_derived_cl613, zip_derived_cl547])).
% 42.78/7.02 thf(zip_derived_cl1038, plain,
% 42.78/7.02 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero)))),
% 42.78/7.02 inference('clc', [status(thm)], [zip_derived_cl846, zip_derived_cl803])).
% 42.78/7.02 thf(zip_derived_cl670, plain,
% 42.78/7.02 (![X0 : $i]:
% 42.78/7.02 ( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ X0)
% 42.78/7.02 | ~ (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ X0))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl665, zip_derived_cl0])).
% 42.78/7.02 thf(zip_derived_cl621, plain,
% 42.78/7.02 ((~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ~ (greater @ zero @
% 42.78/7.02 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl616, zip_derived_cl41])).
% 42.78/7.02 thf(zip_derived_cl689, plain,
% 42.78/7.02 ((~ (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ~ (greater @ zero @
% 42.78/7.02 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl670, zip_derived_cl621])).
% 42.78/7.02 thf(zip_derived_cl690, plain,
% 42.78/7.02 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ~ (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero))),
% 42.78/7.02 inference('simplify', [status(thm)], [zip_derived_cl689])).
% 42.78/7.02 thf(zip_derived_cl1041, plain,
% 42.78/7.02 ((~ (greater @ zero @ zero)
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ~ (greater @ zero @
% 42.78/7.02 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl1038, zip_derived_cl690])).
% 42.78/7.02 thf(zip_derived_cl1047, plain,
% 42.78/7.02 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ~ (greater @ zero @ zero))),
% 42.78/7.02 inference('simplify', [status(thm)], [zip_derived_cl1041])).
% 42.78/7.02 thf(zip_derived_cl798, plain,
% 42.78/7.02 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 42.78/7.02 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.02 inference('clc', [status(thm)], [zip_derived_cl657, zip_derived_cl670])).
% 42.78/7.02 thf(zip_derived_cl820, plain,
% 42.78/7.02 (![X0 : $i]:
% 42.78/7.02 ( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | (greater @ zero @ X0)
% 42.78/7.02 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ X0))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl819, zip_derived_cl0])).
% 42.78/7.02 thf(zip_derived_cl841, plain,
% 42.78/7.02 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | (greater @ zero @ zero)
% 42.78/7.02 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl798, zip_derived_cl820])).
% 42.78/7.02 thf(zip_derived_cl847, plain,
% 42.78/7.02 (( (greater @ zero @ zero)
% 42.78/7.02 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.02 inference('simplify', [status(thm)], [zip_derived_cl841])).
% 42.78/7.02 thf(zip_derived_cl637, plain,
% 42.78/7.02 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.02 (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.02 inference('demod', [status(thm)], [zip_derived_cl617, zip_derived_cl31])).
% 42.78/7.02 thf(zip_derived_cl38, plain,
% 42.78/7.02 ( (greater_or_equal @ (sk2 @ sk3) @ (equilibrium @ sk3))),
% 42.78/7.02 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl17])).
% 42.78/7.02 thf(zip_derived_cl10, plain,
% 42.78/7.02 (![X0 : $i, X1 : $i]:
% 42.78/7.02 (~ (environment @ X0)
% 42.78/7.02 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.02 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 42.78/7.02 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 42.78/7.02 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 42.78/7.02 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 42.78/7.02 inference('cnf', [status(esa)], [l6_29])).
% 42.78/7.02 thf(zip_derived_cl109, plain,
% 42.78/7.02 (( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 42.78/7.02 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 42.78/7.02 | ((growth_rate @ efficient_producers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.02 (sk2 @ sk3))
% 42.78/7.02 | ~ (environment @ sk3))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl10])).
% 42.78/7.02 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.02 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.02 thf(zip_derived_cl111, plain,
% 42.78/7.02 (( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 42.78/7.02 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 42.78/7.02 | ((growth_rate @ efficient_producers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.02 (sk2 @ sk3)))),
% 42.78/7.02 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl17])).
% 42.78/7.02 thf(zip_derived_cl662, plain,
% 42.78/7.02 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((growth_rate @ efficient_producers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 42.78/7.02 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl637, zip_derived_cl111])).
% 42.78/7.02 thf(zip_derived_cl665, plain,
% 42.78/7.02 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 42.78/7.02 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.02 inference('simplify', [status(thm)], [zip_derived_cl656])).
% 42.78/7.02 thf(zip_derived_cl749, plain,
% 42.78/7.02 (( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 42.78/7.02 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 42.78/7.02 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.02 inference('sup+', [status(thm)], [zip_derived_cl662, zip_derived_cl665])).
% 42.78/7.02 thf(zip_derived_cl752, plain,
% 42.78/7.02 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 42.78/7.02 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 42.78/7.02 inference('simplify', [status(thm)], [zip_derived_cl749])).
% 42.78/7.02 thf(zip_derived_cl856, plain,
% 42.78/7.02 (( (greater @ zero @ zero)
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | (greater @ zero @ zero)
% 42.78/7.02 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.02 inference('sup+', [status(thm)], [zip_derived_cl847, zip_derived_cl752])).
% 42.78/7.02 thf(zip_derived_cl864, plain,
% 42.78/7.02 (( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | (greater @ zero @ zero))),
% 42.78/7.02 inference('simplify', [status(thm)], [zip_derived_cl856])).
% 42.78/7.02 thf(zip_derived_cl616, plain,
% 42.78/7.02 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.02 inference('clc', [status(thm)], [zip_derived_cl613, zip_derived_cl547])).
% 42.78/7.02 thf(zip_derived_cl847, plain,
% 42.78/7.02 (( (greater @ zero @ zero)
% 42.78/7.02 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.02 inference('simplify', [status(thm)], [zip_derived_cl841])).
% 42.78/7.02 thf(zip_derived_cl665, plain,
% 42.78/7.02 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 42.78/7.02 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.02 inference('simplify', [status(thm)], [zip_derived_cl656])).
% 42.78/7.02 thf(zip_derived_cl853, plain,
% 42.78/7.02 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | (greater @ zero @ zero)
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.02 inference('sup+', [status(thm)], [zip_derived_cl847, zip_derived_cl665])).
% 42.78/7.02 thf(zip_derived_cl861, plain,
% 42.78/7.02 (( (greater @ zero @ zero)
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero))),
% 42.78/7.02 inference('simplify', [status(thm)], [zip_derived_cl853])).
% 42.78/7.02 thf(zip_derived_cl621, plain,
% 42.78/7.02 ((~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ~ (greater @ zero @
% 42.78/7.02 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl616, zip_derived_cl41])).
% 42.78/7.02 thf(zip_derived_cl911, plain,
% 42.78/7.02 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | (greater @ zero @ zero)
% 42.78/7.02 | ~ (greater @ zero @
% 42.78/7.02 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl861, zip_derived_cl621])).
% 42.78/7.02 thf(zip_derived_cl913, plain,
% 42.78/7.02 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.02 | (greater @ zero @ zero)
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.02 inference('simplify', [status(thm)], [zip_derived_cl911])).
% 42.78/7.02 thf(zip_derived_cl914, plain,
% 42.78/7.02 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | (greater @ zero @ zero))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl616, zip_derived_cl913])).
% 42.78/7.02 thf(zip_derived_cl915, plain,
% 42.78/7.02 (( (greater @ zero @ zero)
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 42.78/7.02 inference('simplify', [status(thm)], [zip_derived_cl914])).
% 42.78/7.02 thf(zip_derived_cl918, plain,
% 42.78/7.02 (( (greater @ zero @ zero)
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.02 inference('clc', [status(thm)], [zip_derived_cl864, zip_derived_cl915])).
% 42.78/7.02 thf(zip_derived_cl1055, plain,
% 42.78/7.02 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ~ (greater @ zero @
% 42.78/7.02 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.02 inference('clc', [status(thm)], [zip_derived_cl1047, zip_derived_cl918])).
% 42.78/7.02 thf(zip_derived_cl1056, plain,
% 42.78/7.02 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl616, zip_derived_cl1055])).
% 42.78/7.02 thf(zip_derived_cl1057, plain,
% 42.78/7.02 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 42.78/7.02 inference('simplify', [status(thm)], [zip_derived_cl1056])).
% 42.78/7.02 thf(zip_derived_cl1058, plain,
% 42.78/7.02 ((~ (greater @ zero @ zero)
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl1038, zip_derived_cl1057])).
% 42.78/7.02 thf(zip_derived_cl1059, plain,
% 42.78/7.02 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ~ (greater @ zero @ zero))),
% 42.78/7.02 inference('simplify', [status(thm)], [zip_derived_cl1058])).
% 42.78/7.02 thf(zip_derived_cl918, plain,
% 42.78/7.02 (( (greater @ zero @ zero)
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.02 inference('clc', [status(thm)], [zip_derived_cl864, zip_derived_cl915])).
% 42.78/7.02 thf(zip_derived_cl1060, plain,
% 42.78/7.02 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 42.78/7.02 inference('clc', [status(thm)], [zip_derived_cl1059, zip_derived_cl918])).
% 42.78/7.02 thf(zip_derived_cl0, plain,
% 42.78/7.02 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.78/7.02 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 42.78/7.02 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 42.78/7.02 thf(zip_derived_cl1061, plain,
% 42.78/7.02 (![X0 : $i]:
% 42.78/7.02 (((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ X0)
% 42.78/7.02 | ~ (greater @ (sk2 @ sk3) @ X0))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl1060, zip_derived_cl0])).
% 42.78/7.02 thf(zip_derived_cl1069, plain,
% 42.78/7.02 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.02 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.02 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl1061])).
% 42.78/7.03 thf(zip_derived_cl1073, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('simplify', [status(thm)], [zip_derived_cl1069])).
% 42.78/7.03 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl150, plain,
% 42.78/7.03 (![X0 : $i, X1 : $i]:
% 42.78/7.03 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.03 | ~ (in_environment @ sk3 @ X1)
% 42.78/7.03 | ((sk4 @ X1) = (X1))
% 42.78/7.03 | ~ (environment @ X0)
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.03 (sk4 @ X1))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ X1)) = (zero))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk4 @ X1)))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X1))))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl97])).
% 42.78/7.03 thf(zip_derived_cl234, plain,
% 42.78/7.03 (![X0 : $i]:
% 42.78/7.03 ( (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | (greater @ zero @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3)))
% 42.78/7.03 | ~ (environment @ X0)
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ~ (greater @ (sk1 @ sk3) @ (equilibrium @ X0)))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl150])).
% 42.78/7.03 thf(zip_derived_cl1141, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ~ (environment @ sk3)
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3)))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | (greater @ zero @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl1073, zip_derived_cl234])).
% 42.78/7.03 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.03 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.03 thf(zip_derived_cl1175, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3)))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | (greater @ zero @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl1141, zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl1409, plain,
% 42.78/7.03 ((~ (in_environment @ sk3 @ (sk1 @ sk3))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | (greater @ zero @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl1175])).
% 42.78/7.03 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl1410, plain,
% 42.78/7.03 (( (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | (greater @ zero @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl1409, zip_derived_cl27])).
% 42.78/7.03 thf(zip_derived_cl0, plain,
% 42.78/7.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.78/7.03 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 42.78/7.03 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 42.78/7.03 thf(zip_derived_cl1411, plain,
% 42.78/7.03 (![X0 : $i]:
% 42.78/7.03 (((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | (greater @ zero @
% 42.78/7.03 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | (greater @ zero @ X0)
% 42.78/7.03 | ~ (greater @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ X0))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl1410, zip_derived_cl0])).
% 42.78/7.03 thf(zip_derived_cl1425, plain,
% 42.78/7.03 ((~ (environment @ sk3)
% 42.78/7.03 | ~ (stable @ sk3)
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3)))
% 42.78/7.03 | ~ (in_environment @ sk3 @ (sk1 @ sk3))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl1411])).
% 42.78/7.03 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.03 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.03 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 42.78/7.03 inference('cnf', [status(esa)], [zf_stmt_2])).
% 42.78/7.03 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl1432, plain,
% 42.78/7.03 ((~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3)))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('demod', [status(thm)],
% 42.78/7.03 [zip_derived_cl1425, zip_derived_cl17, zip_derived_cl18,
% 42.78/7.03 zip_derived_cl27])).
% 42.78/7.03 thf(zip_derived_cl1433, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3))))),
% 42.78/7.03 inference('simplify', [status(thm)], [zip_derived_cl1432])).
% 42.78/7.03 thf(zip_derived_cl1436, plain,
% 42.78/7.03 ((~ (in_environment @ sk3 @ (sk1 @ sk3))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl1433])).
% 42.78/7.03 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl1437, plain,
% 42.78/7.03 (( (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl1436, zip_derived_cl27])).
% 42.78/7.03 thf(zip_derived_cl1437, plain,
% 42.78/7.03 (( (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl1436, zip_derived_cl27])).
% 42.78/7.03 thf(zip_derived_cl19, plain,
% 42.78/7.03 (![X0 : $i]:
% 42.78/7.03 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ X0))
% 42.78/7.03 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/7.03 thf(zip_derived_cl1073, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('simplify', [status(thm)], [zip_derived_cl1069])).
% 42.78/7.03 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl126, plain,
% 42.78/7.03 (![X0 : $i, X1 : $i]:
% 42.78/7.03 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.03 | ~ (in_environment @ sk3 @ X1)
% 42.78/7.03 | ((sk4 @ X1) = (X1))
% 42.78/7.03 | ~ (environment @ X0)
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.03 (sk4 @ X1))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ X1)) = (zero))
% 42.78/7.03 | (greater @ (growth_rate @ first_movers @ (sk4 @ X1)) @ zero)
% 42.78/7.03 | (greater @ (growth_rate @ efficient_producers @ (sk4 @ X1)) @ zero))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl81])).
% 42.78/7.03 thf(zip_derived_cl228, plain,
% 42.78/7.03 (![X0 : $i]:
% 42.78/7.03 ( (greater @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @
% 42.78/7.03 zero)
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3)))
% 42.78/7.03 | ~ (environment @ X0)
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ~ (greater @ (sk1 @ sk3) @ (equilibrium @ X0)))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl126])).
% 42.78/7.03 thf(zip_derived_cl1138, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ~ (environment @ sk3)
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3)))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | (greater @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl1073, zip_derived_cl228])).
% 42.78/7.03 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.03 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.03 thf(zip_derived_cl1172, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3)))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | (greater @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl1138, zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl1306, plain,
% 42.78/7.03 ((~ (in_environment @ sk3 @ (sk1 @ sk3))
% 42.78/7.03 | (greater @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl1172])).
% 42.78/7.03 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl1307, plain,
% 42.78/7.03 (( (greater @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl1306, zip_derived_cl27])).
% 42.78/7.03 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl21, plain,
% 42.78/7.03 (![X0 : $i]:
% 42.78/7.03 (~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0)))
% 42.78/7.03 | ~ (greater @ (growth_rate @ efficient_producers @ (sk4 @ X0)) @
% 42.78/7.03 zero)
% 42.78/7.03 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.03 inference('cnf', [status(esa)], [zf_stmt_4])).
% 42.78/7.03 thf(zip_derived_cl40, plain,
% 42.78/7.03 ((~ (greater @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | ~ (greater @ zero @
% 42.78/7.03 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl21])).
% 42.78/7.03 thf(zip_derived_cl1309, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | ~ (greater @ zero @
% 42.78/7.03 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl1307, zip_derived_cl40])).
% 42.78/7.03 thf(zip_derived_cl1447, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl1437, zip_derived_cl1309])).
% 42.78/7.03 thf(zip_derived_cl1450, plain,
% 42.78/7.03 (( (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('simplify', [status(thm)], [zip_derived_cl1447])).
% 42.78/7.03 thf(zip_derived_cl59, plain,
% 42.78/7.03 (![X0 : $i]:
% 42.78/7.03 (~ (in_environment @ sk3 @ (sk1 @ X0))
% 42.78/7.03 | (greater @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ X0))) @
% 42.78/7.03 (growth_rate @ first_movers @ (sk4 @ (sk1 @ X0))))
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.03 (sk4 @ (sk1 @ X0)))
% 42.78/7.03 | ~ (stable @ X0)
% 42.78/7.03 | ~ (environment @ X0))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl14])).
% 42.78/7.03 thf(zip_derived_cl0, plain,
% 42.78/7.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.78/7.03 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 42.78/7.03 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 42.78/7.03 thf(zip_derived_cl80, plain,
% 42.78/7.03 (![X0 : $i, X1 : $i]:
% 42.78/7.03 (~ (environment @ X0)
% 42.78/7.03 | ~ (stable @ X0)
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.03 (sk4 @ (sk1 @ X0)))
% 42.78/7.03 | ~ (in_environment @ sk3 @ (sk1 @ X0))
% 42.78/7.03 | (greater @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ X0))) @ X1)
% 42.78/7.03 | ~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ X0))) @ X1))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 42.78/7.03 thf(zip_derived_cl40, plain,
% 42.78/7.03 ((~ (greater @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | ~ (greater @ zero @
% 42.78/7.03 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl21])).
% 42.78/7.03 thf(zip_derived_cl205, plain,
% 42.78/7.03 ((~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | ~ (in_environment @ sk3 @ (sk1 @ sk3))
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3)))
% 42.78/7.03 | ~ (stable @ sk3)
% 42.78/7.03 | ~ (environment @ sk3)
% 42.78/7.03 | ~ (greater @ zero @
% 42.78/7.03 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl40])).
% 42.78/7.03 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 42.78/7.03 inference('cnf', [status(esa)], [zf_stmt_2])).
% 42.78/7.03 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.03 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.03 thf(zip_derived_cl206, plain,
% 42.78/7.03 ((~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3)))
% 42.78/7.03 | ~ (greater @ zero @
% 42.78/7.03 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.03 inference('demod', [status(thm)],
% 42.78/7.03 [zip_derived_cl205, zip_derived_cl27, zip_derived_cl18,
% 42.78/7.03 zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl1454, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ~ (greater @ zero @
% 42.78/7.03 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3))))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl1450, zip_derived_cl206])).
% 42.78/7.03 thf(zip_derived_cl1489, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3)))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl1437, zip_derived_cl1454])).
% 42.78/7.03 thf(zip_derived_cl1490, plain,
% 42.78/7.03 ((~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3)))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('simplify', [status(thm)], [zip_derived_cl1489])).
% 42.78/7.03 thf(zip_derived_cl1491, plain,
% 42.78/7.03 ((~ (in_environment @ sk3 @ (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl1490])).
% 42.78/7.03 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl1492, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl1491, zip_derived_cl27])).
% 42.78/7.03 thf(zip_derived_cl19, plain,
% 42.78/7.03 (![X0 : $i]:
% 42.78/7.03 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ X0))
% 42.78/7.03 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/7.03 thf(zip_derived_cl1073, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('simplify', [status(thm)], [zip_derived_cl1069])).
% 42.78/7.03 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl175, plain,
% 42.78/7.03 (![X0 : $i, X1 : $i]:
% 42.78/7.03 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.03 | ~ (in_environment @ sk3 @ X1)
% 42.78/7.03 | ((sk4 @ X1) = (X1))
% 42.78/7.03 | ~ (environment @ X0)
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.03 (sk4 @ X1))
% 42.78/7.03 | ((growth_rate @ efficient_producers @ (sk4 @ X1)) = (zero))
% 42.78/7.03 | (greater @ (growth_rate @ first_movers @ (sk4 @ X1)) @ zero)
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X1))))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl107])).
% 42.78/7.03 thf(zip_derived_cl238, plain,
% 42.78/7.03 (![X0 : $i]:
% 42.78/7.03 ( (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @
% 42.78/7.03 zero)
% 42.78/7.03 | ((growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3)))
% 42.78/7.03 | ~ (environment @ X0)
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ~ (greater @ (sk1 @ sk3) @ (equilibrium @ X0)))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl175])).
% 42.78/7.03 thf(zip_derived_cl1143, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ~ (environment @ sk3)
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3)))
% 42.78/7.03 | ((growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl1073, zip_derived_cl238])).
% 42.78/7.03 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.03 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.03 thf(zip_derived_cl1177, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3)))
% 42.78/7.03 | ((growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl1143, zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl1564, plain,
% 42.78/7.03 ((~ (in_environment @ sk3 @ (sk1 @ sk3))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | ((growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl1177])).
% 42.78/7.03 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl1565, plain,
% 42.78/7.03 (( (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | ((growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl1564, zip_derived_cl27])).
% 42.78/7.03 thf(zip_derived_cl19, plain,
% 42.78/7.03 (![X0 : $i]:
% 42.78/7.03 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ X0))
% 42.78/7.03 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/7.03 thf(zip_derived_cl1492, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl1491, zip_derived_cl27])).
% 42.78/7.03 thf(zip_derived_cl59, plain,
% 42.78/7.03 (![X0 : $i]:
% 42.78/7.03 (~ (in_environment @ sk3 @ (sk1 @ X0))
% 42.78/7.03 | (greater @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ X0))) @
% 42.78/7.03 (growth_rate @ first_movers @ (sk4 @ (sk1 @ X0))))
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.03 (sk4 @ (sk1 @ X0)))
% 42.78/7.03 | ~ (stable @ X0)
% 42.78/7.03 | ~ (environment @ X0))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl14])).
% 42.78/7.03 thf(zip_derived_cl1496, plain,
% 42.78/7.03 (( (greater @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ~ (environment @ sk3)
% 42.78/7.03 | ~ (stable @ sk3)
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3)))
% 42.78/7.03 | ~ (in_environment @ sk3 @ (sk1 @ sk3)))),
% 42.78/7.03 inference('sup+', [status(thm)], [zip_derived_cl1492, zip_derived_cl59])).
% 42.78/7.03 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.03 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.03 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 42.78/7.03 inference('cnf', [status(esa)], [zf_stmt_2])).
% 42.78/7.03 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl1497, plain,
% 42.78/7.03 (( (greater @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ (sk1 @ sk3))))),
% 42.78/7.03 inference('demod', [status(thm)],
% 42.78/7.03 [zip_derived_cl1496, zip_derived_cl17, zip_derived_cl18,
% 42.78/7.03 zip_derived_cl27])).
% 42.78/7.03 thf(zip_derived_cl1506, plain,
% 42.78/7.03 ((~ (in_environment @ sk3 @ (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | (greater @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl1497])).
% 42.78/7.03 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl1507, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | (greater @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl1506, zip_derived_cl27])).
% 42.78/7.03 thf(zip_derived_cl1567, plain,
% 42.78/7.03 (( (greater @ zero @ zero)
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('sup+', [status(thm)], [zip_derived_cl1565, zip_derived_cl1507])).
% 42.78/7.03 thf(zip_derived_cl1571, plain,
% 42.78/7.03 (( (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.03 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | (greater @ zero @ zero))),
% 42.78/7.03 inference('simplify', [status(thm)], [zip_derived_cl1567])).
% 42.78/7.03 thf(zip_derived_cl1507, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | (greater @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl1506, zip_derived_cl27])).
% 42.78/7.03 thf(zip_derived_cl40, plain,
% 42.78/7.03 ((~ (greater @
% 42.78/7.03 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | ~ (greater @ zero @
% 42.78/7.03 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl21])).
% 42.78/7.03 thf(zip_derived_cl1509, plain,
% 42.78/7.03 ((((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ~ (greater @ zero @
% 42.78/7.03 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl1507, zip_derived_cl40])).
% 42.78/7.03 thf(zip_derived_cl1576, plain,
% 42.78/7.03 (( (greater @ zero @ zero)
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 42.78/7.03 inference('clc', [status(thm)], [zip_derived_cl1571, zip_derived_cl1509])).
% 42.78/7.03 thf(zip_derived_cl1492, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl1491, zip_derived_cl27])).
% 42.78/7.03 thf(zip_derived_cl1509, plain,
% 42.78/7.03 ((((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ~ (greater @ zero @
% 42.78/7.03 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl1507, zip_derived_cl40])).
% 42.78/7.03 thf(zip_derived_cl1510, plain,
% 42.78/7.03 ((~ (greater @ zero @ zero)
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3)))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl1492, zip_derived_cl1509])).
% 42.78/7.03 thf(zip_derived_cl1511, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ~ (greater @ zero @ zero))),
% 42.78/7.03 inference('simplify', [status(thm)], [zip_derived_cl1510])).
% 42.78/7.03 thf(zip_derived_cl1577, plain,
% 42.78/7.03 (( (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('clc', [status(thm)], [zip_derived_cl1576, zip_derived_cl1511])).
% 42.78/7.03 thf(zip_derived_cl1581, plain,
% 42.78/7.03 (( (greater @ zero @ zero)
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3)))),
% 42.78/7.03 inference('sup+', [status(thm)], [zip_derived_cl1492, zip_derived_cl1577])).
% 42.78/7.03 thf(zip_derived_cl1582, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | (greater @ zero @ zero))),
% 42.78/7.03 inference('simplify', [status(thm)], [zip_derived_cl1581])).
% 42.78/7.03 thf(zip_derived_cl1511, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ~ (greater @ zero @ zero))),
% 42.78/7.03 inference('simplify', [status(thm)], [zip_derived_cl1510])).
% 42.78/7.03 thf(zip_derived_cl1583, plain,
% 42.78/7.03 ((((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('clc', [status(thm)], [zip_derived_cl1582, zip_derived_cl1511])).
% 42.78/7.03 thf(zip_derived_cl1583, plain,
% 42.78/7.03 ((((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('clc', [status(thm)], [zip_derived_cl1582, zip_derived_cl1511])).
% 42.78/7.03 thf(zip_derived_cl19, plain,
% 42.78/7.03 (![X0 : $i]:
% 42.78/7.03 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk4 @ X0))
% 42.78/7.03 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.03 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/7.03 thf(zip_derived_cl1584, plain,
% 42.78/7.03 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ~ (in_environment @ sk3 @ (sk1 @ sk3)))),
% 42.78/7.03 inference('sup+', [status(thm)], [zip_derived_cl1583, zip_derived_cl19])).
% 42.78/7.03 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl1595, plain,
% 42.78/7.03 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl1584, zip_derived_cl27])).
% 42.78/7.03 thf(mp_greater_or_equal_23, axiom,
% 42.78/7.03 (( ( A ) != ( B ) ) | ( greater_or_equal @ A @ B ))).
% 42.78/7.03 thf(zip_derived_cl4, plain,
% 42.78/7.03 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | (greater_or_equal @ X1 @ X0))),
% 42.78/7.03 inference('cnf', [status(esa)], [mp_greater_or_equal_23])).
% 42.78/7.03 thf(zip_derived_cl22, plain, (![X0 : $i]: (greater_or_equal @ X0 @ X0)),
% 42.78/7.03 inference('eq_res', [status(thm)], [zip_derived_cl4])).
% 42.78/7.03 thf(zip_derived_cl14, plain,
% 42.78/7.03 (![X0 : $i, X1 : $i]:
% 42.78/7.03 (~ (environment @ X0)
% 42.78/7.03 | ~ (stable @ X0)
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.03 | ~ (greater_or_equal @ X1 @ (sk1 @ X0))
% 42.78/7.03 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 42.78/7.03 (growth_rate @ first_movers @ X1)))),
% 42.78/7.03 inference('cnf', [status(esa)], [l1_33])).
% 42.78/7.03 thf(zip_derived_cl58, plain,
% 42.78/7.03 (![X0 : $i]:
% 42.78/7.03 ( (greater @ (growth_rate @ efficient_producers @ (sk1 @ X0)) @
% 42.78/7.03 (growth_rate @ first_movers @ (sk1 @ X0)))
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.03 (sk1 @ X0))
% 42.78/7.03 | ~ (stable @ X0)
% 42.78/7.03 | ~ (environment @ X0))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl14])).
% 42.78/7.03 thf(zip_derived_cl1602, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ~ (environment @ sk3)
% 42.78/7.03 | ~ (stable @ sk3)
% 42.78/7.03 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @
% 42.78/7.03 (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl1595, zip_derived_cl58])).
% 42.78/7.03 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.03 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.03 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 42.78/7.03 inference('cnf', [status(esa)], [zf_stmt_2])).
% 42.78/7.03 thf(zip_derived_cl1611, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @
% 42.78/7.03 (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 42.78/7.03 inference('demod', [status(thm)],
% 42.78/7.03 [zip_derived_cl1602, zip_derived_cl17, zip_derived_cl18])).
% 42.78/7.03 thf(zip_derived_cl1595, plain,
% 42.78/7.03 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl1584, zip_derived_cl27])).
% 42.78/7.03 thf(zip_derived_cl1073, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('simplify', [status(thm)], [zip_derived_cl1069])).
% 42.78/7.03 thf(zip_derived_cl3, plain,
% 42.78/7.03 (![X0 : $i, X1 : $i]:
% 42.78/7.03 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 42.78/7.03 inference('cnf', [status(esa)], [mp_greater_or_equal_22])).
% 42.78/7.03 thf(l6_31, axiom,
% 42.78/7.03 (( ~( environment @ A ) ) |
% 42.78/7.03 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 42.78/7.03 ( ~( greater_or_equal @ B @ ( equilibrium @ A ) ) ) |
% 42.78/7.03 ( ( growth_rate @ efficient_producers @ B ) = ( zero ) ) |
% 42.78/7.03 ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) ) |
% 42.78/7.03 ( greater @ zero @ ( growth_rate @ first_movers @ B ) ))).
% 42.78/7.03 thf(zip_derived_cl12, plain,
% 42.78/7.03 (![X0 : $i, X1 : $i]:
% 42.78/7.03 (~ (environment @ X0)
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.03 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 42.78/7.03 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 42.78/7.03 inference('cnf', [status(esa)], [l6_31])).
% 42.78/7.03 thf(zip_derived_cl117, plain,
% 42.78/7.03 (![X0 : $i, X1 : $i]:
% 42.78/7.03 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 42.78/7.03 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.03 | ~ (environment @ X0))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl12])).
% 42.78/7.03 thf(zip_derived_cl1126, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ~ (environment @ sk3)
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk1 @ sk3))
% 42.78/7.03 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk1 @ sk3)))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl1073, zip_derived_cl117])).
% 42.78/7.03 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.03 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.03 thf(zip_derived_cl1153, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk1 @ sk3))
% 42.78/7.03 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk1 @ sk3)))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl1126, zip_derived_cl17])).
% 42.78/7.03 thf(zip_derived_cl1610, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk1 @ sk3)))
% 42.78/7.03 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl1595, zip_derived_cl1153])).
% 42.78/7.03 thf(zip_derived_cl1619, plain,
% 42.78/7.03 ((((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk1 @ sk3)))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.03 inference('simplify', [status(thm)], [zip_derived_cl1610])).
% 42.78/7.03 thf(zip_derived_cl0, plain,
% 42.78/7.03 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.78/7.03 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 42.78/7.03 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 42.78/7.03 thf(zip_derived_cl1701, plain,
% 42.78/7.03 (![X0 : $i]:
% 42.78/7.03 (((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 42.78/7.03 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.03 | (greater @ zero @ X0)
% 42.78/7.03 | ~ (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ X0))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl1619, zip_derived_cl0])).
% 42.78/7.03 thf(zip_derived_cl1583, plain,
% 42.78/7.03 ((((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('clc', [status(thm)], [zip_derived_cl1582, zip_derived_cl1511])).
% 42.78/7.03 thf(zip_derived_cl1595, plain,
% 42.78/7.03 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.03 (sk1 @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.03 inference('demod', [status(thm)], [zip_derived_cl1584, zip_derived_cl27])).
% 42.78/7.03 thf(zip_derived_cl1073, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.03 inference('simplify', [status(thm)], [zip_derived_cl1069])).
% 42.78/7.03 thf(zip_derived_cl102, plain,
% 42.78/7.03 (![X0 : $i, X1 : $i]:
% 42.78/7.03 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.03 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero)
% 42.78/7.03 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 42.78/7.03 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.03 | ~ (environment @ X0))),
% 42.78/7.03 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 42.78/7.03 thf(zip_derived_cl1123, plain,
% 42.78/7.03 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.03 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.03 | ~ (environment @ sk3)
% 42.78/7.03 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.04 (sk1 @ sk3))
% 42.78/7.04 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1073, zip_derived_cl102])).
% 42.78/7.04 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.04 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.04 thf(zip_derived_cl1150, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.04 (sk1 @ sk3))
% 42.78/7.04 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero))),
% 42.78/7.04 inference('demod', [status(thm)], [zip_derived_cl1123, zip_derived_cl17])).
% 42.78/7.04 thf(zip_derived_cl1607, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1595, zip_derived_cl1150])).
% 42.78/7.04 thf(zip_derived_cl1616, plain,
% 42.78/7.04 ((((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl1607])).
% 42.78/7.04 thf(zip_derived_cl1611, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @
% 42.78/7.04 (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 42.78/7.04 inference('demod', [status(thm)],
% 42.78/7.04 [zip_derived_cl1602, zip_derived_cl17, zip_derived_cl18])).
% 42.78/7.04 thf(zip_derived_cl0, plain,
% 42.78/7.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.78/7.04 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 42.78/7.04 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 42.78/7.04 thf(zip_derived_cl1622, plain,
% 42.78/7.04 (![X0 : $i]:
% 42.78/7.04 (((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ X0)
% 42.78/7.04 | ~ (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ X0))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1611, zip_derived_cl0])).
% 42.78/7.04 thf(zip_derived_cl1696, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero)))),
% 42.78/7.04 inference('clc', [status(thm)], [zip_derived_cl1616, zip_derived_cl1622])).
% 42.78/7.04 thf(zip_derived_cl1583, plain,
% 42.78/7.04 ((((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.04 inference('clc', [status(thm)], [zip_derived_cl1582, zip_derived_cl1511])).
% 42.78/7.04 thf(zip_derived_cl40, plain,
% 42.78/7.04 ((~ (greater @
% 42.78/7.04 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl21])).
% 42.78/7.04 thf(zip_derived_cl1591, plain,
% 42.78/7.04 ((~ (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1583, zip_derived_cl40])).
% 42.78/7.04 thf(zip_derived_cl1698, plain,
% 42.78/7.04 ((((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1696, zip_derived_cl1591])).
% 42.78/7.04 thf(zip_derived_cl1699, plain,
% 42.78/7.04 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero)))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl1698])).
% 42.78/7.04 thf(zip_derived_cl1723, plain,
% 42.78/7.04 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1583, zip_derived_cl1699])).
% 42.78/7.04 thf(zip_derived_cl1724, plain,
% 42.78/7.04 ((((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl1723])).
% 42.78/7.04 thf(zip_derived_cl1879, plain,
% 42.78/7.04 (![X0 : $i]:
% 42.78/7.04 (~ (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ X0)
% 42.78/7.04 | (greater @ zero @ X0)
% 42.78/7.04 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('clc', [status(thm)], [zip_derived_cl1701, zip_derived_cl1724])).
% 42.78/7.04 thf(zip_derived_cl1884, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1611, zip_derived_cl1879])).
% 42.78/7.04 thf(zip_derived_cl1893, plain,
% 42.78/7.04 (( (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 42.78/7.04 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl1884])).
% 42.78/7.04 thf(zip_derived_cl1724, plain,
% 42.78/7.04 ((((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl1723])).
% 42.78/7.04 thf(zip_derived_cl2108, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero)))),
% 42.78/7.04 inference('clc', [status(thm)], [zip_derived_cl1893, zip_derived_cl1724])).
% 42.78/7.04 thf(zip_derived_cl1591, plain,
% 42.78/7.04 ((~ (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1583, zip_derived_cl40])).
% 42.78/7.04 thf(zip_derived_cl2109, plain,
% 42.78/7.04 ((~ (greater @ zero @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl2108, zip_derived_cl1591])).
% 42.78/7.04 thf(zip_derived_cl2119, plain,
% 42.78/7.04 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ~ (greater @ zero @ zero))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl2109])).
% 42.78/7.04 thf(zip_derived_cl1696, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero)))),
% 42.78/7.04 inference('clc', [status(thm)], [zip_derived_cl1616, zip_derived_cl1622])).
% 42.78/7.04 thf(zip_derived_cl1879, plain,
% 42.78/7.04 (![X0 : $i]:
% 42.78/7.04 (~ (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ X0)
% 42.78/7.04 | (greater @ zero @ X0)
% 42.78/7.04 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('clc', [status(thm)], [zip_derived_cl1701, zip_derived_cl1724])).
% 42.78/7.04 thf(zip_derived_cl1888, plain,
% 42.78/7.04 ((((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | (greater @ zero @ zero))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1696, zip_derived_cl1879])).
% 42.78/7.04 thf(zip_derived_cl1897, plain,
% 42.78/7.04 (( (greater @ zero @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero)))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl1888])).
% 42.78/7.04 thf(zip_derived_cl1611, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @
% 42.78/7.04 (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 42.78/7.04 inference('demod', [status(thm)],
% 42.78/7.04 [zip_derived_cl1602, zip_derived_cl17, zip_derived_cl18])).
% 42.78/7.04 thf(zip_derived_cl1903, plain,
% 42.78/7.04 (( (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | (greater @ zero @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('sup+', [status(thm)], [zip_derived_cl1897, zip_derived_cl1611])).
% 42.78/7.04 thf(zip_derived_cl1917, plain,
% 42.78/7.04 (( (greater @ zero @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl1903])).
% 42.78/7.04 thf(zip_derived_cl1583, plain,
% 42.78/7.04 ((((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.04 inference('clc', [status(thm)], [zip_derived_cl1582, zip_derived_cl1511])).
% 42.78/7.04 thf(zip_derived_cl1595, plain,
% 42.78/7.04 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.04 (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('demod', [status(thm)], [zip_derived_cl1584, zip_derived_cl27])).
% 42.78/7.04 thf(zip_derived_cl1073, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl1069])).
% 42.78/7.04 thf(zip_derived_cl81, plain,
% 42.78/7.04 (![X0 : $i, X1 : $i]:
% 42.78/7.04 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.04 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero)
% 42.78/7.04 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 42.78/7.04 | ((growth_rate @ first_movers @ X1) = (zero))
% 42.78/7.04 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.04 | ~ (environment @ X0))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 42.78/7.04 thf(zip_derived_cl1119, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ~ (environment @ sk3)
% 42.78/7.04 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.04 (sk1 @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1073, zip_derived_cl81])).
% 42.78/7.04 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.04 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.04 thf(zip_derived_cl1146, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.04 (sk1 @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero))),
% 42.78/7.04 inference('demod', [status(thm)], [zip_derived_cl1119, zip_derived_cl17])).
% 42.78/7.04 thf(zip_derived_cl1603, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1595, zip_derived_cl1146])).
% 42.78/7.04 thf(zip_derived_cl1612, plain,
% 42.78/7.04 ((((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl1603])).
% 42.78/7.04 thf(zip_derived_cl1591, plain,
% 42.78/7.04 ((~ (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1583, zip_derived_cl40])).
% 42.78/7.04 thf(zip_derived_cl1630, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1612, zip_derived_cl1591])).
% 42.78/7.04 thf(zip_derived_cl1632, plain,
% 42.78/7.04 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl1630])).
% 42.78/7.04 thf(zip_derived_cl1622, plain,
% 42.78/7.04 (![X0 : $i]:
% 42.78/7.04 (((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ X0)
% 42.78/7.04 | ~ (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ X0))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1611, zip_derived_cl0])).
% 42.78/7.04 thf(zip_derived_cl1591, plain,
% 42.78/7.04 ((~ (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1583, zip_derived_cl40])).
% 42.78/7.04 thf(zip_derived_cl1657, plain,
% 42.78/7.04 ((~ (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1622, zip_derived_cl1591])).
% 42.78/7.04 thf(zip_derived_cl1658, plain,
% 42.78/7.04 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ~ (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl1657])).
% 42.78/7.04 thf(zip_derived_cl1745, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.04 inference('clc', [status(thm)], [zip_derived_cl1632, zip_derived_cl1658])).
% 42.78/7.04 thf(zip_derived_cl1746, plain,
% 42.78/7.04 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1583, zip_derived_cl1745])).
% 42.78/7.04 thf(zip_derived_cl1747, plain,
% 42.78/7.04 ((((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl1746])).
% 42.78/7.04 thf(zip_derived_cl1945, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | (greater @ zero @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero)))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1917, zip_derived_cl1747])).
% 42.78/7.04 thf(zip_derived_cl1953, plain,
% 42.78/7.04 ((((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 42.78/7.04 | (greater @ zero @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl1945])).
% 42.78/7.04 thf(zip_derived_cl1917, plain,
% 42.78/7.04 (( (greater @ zero @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl1903])).
% 42.78/7.04 thf(zip_derived_cl1965, plain,
% 42.78/7.04 (( (greater @ zero @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | (greater @ zero @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | (greater @ zero @ zero))),
% 42.78/7.04 inference('sup+', [status(thm)], [zip_derived_cl1953, zip_derived_cl1917])).
% 42.78/7.04 thf(zip_derived_cl1977, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ zero @ zero))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl1965])).
% 42.78/7.04 thf(zip_derived_cl2155, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.04 inference('clc', [status(thm)], [zip_derived_cl2119, zip_derived_cl1977])).
% 42.78/7.04 thf(zip_derived_cl2156, plain,
% 42.78/7.04 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl1583, zip_derived_cl2155])).
% 42.78/7.04 thf(zip_derived_cl2157, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl2156])).
% 42.78/7.04 thf(zip_derived_cl2108, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero)))),
% 42.78/7.04 inference('clc', [status(thm)], [zip_derived_cl1893, zip_derived_cl1724])).
% 42.78/7.04 thf(zip_derived_cl1611, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @
% 42.78/7.04 (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 42.78/7.04 inference('demod', [status(thm)],
% 42.78/7.04 [zip_derived_cl1602, zip_derived_cl17, zip_derived_cl18])).
% 42.78/7.04 thf(zip_derived_cl2110, plain,
% 42.78/7.04 (( (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('sup+', [status(thm)], [zip_derived_cl2108, zip_derived_cl1611])).
% 42.78/7.04 thf(zip_derived_cl2120, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (sk1 @ sk3))
% 42.78/7.04 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl2110])).
% 42.78/7.04 thf(zip_derived_cl2158, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 42.78/7.04 thf(zip_derived_cl2158, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 42.78/7.04 thf(zip_derived_cl19, plain,
% 42.78/7.04 (![X0 : $i]:
% 42.78/7.04 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.04 (sk4 @ X0))
% 42.78/7.04 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.04 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/7.04 thf(zip_derived_cl59, plain,
% 42.78/7.04 (![X0 : $i]:
% 42.78/7.04 (~ (in_environment @ sk3 @ (sk1 @ X0))
% 42.78/7.04 | (greater @
% 42.78/7.04 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ X0))) @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk1 @ X0))))
% 42.78/7.04 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.04 (sk4 @ (sk1 @ X0)))
% 42.78/7.04 | ~ (stable @ X0)
% 42.78/7.04 | ~ (environment @ X0))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl14])).
% 42.78/7.04 thf(zip_derived_cl2158, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 42.78/7.04 thf(zip_derived_cl492, plain,
% 42.78/7.04 (![X0 : $i]:
% 42.78/7.04 (((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.04 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ zero @ X0)
% 42.78/7.04 | ~ (greater @
% 42.78/7.04 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ X0))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl491, zip_derived_cl0])).
% 42.78/7.04 thf(zip_derived_cl2195, plain,
% 42.78/7.04 (![X0 : $i]:
% 42.78/7.04 (~ (greater @
% 42.78/7.04 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ X0)
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ zero @ X0)
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero)))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl2158, zip_derived_cl492])).
% 42.78/7.04 thf(zip_derived_cl2207, plain,
% 42.78/7.04 (![X0 : $i]:
% 42.78/7.04 (((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.04 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.04 | (greater @ zero @ X0)
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ~ (greater @
% 42.78/7.04 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ X0))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl2195])).
% 42.78/7.04 thf(zip_derived_cl2565, plain,
% 42.78/7.04 ((~ (environment @ sk3)
% 42.78/7.04 | ~ (stable @ sk3)
% 42.78/7.04 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.04 (sk4 @ (sk1 @ sk3)))
% 42.78/7.04 | ~ (in_environment @ sk3 @ (sk1 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.04 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero)))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl2207])).
% 42.78/7.04 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.04 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.04 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 42.78/7.04 inference('cnf', [status(esa)], [zf_stmt_2])).
% 42.78/7.04 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.04 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.04 thf(zip_derived_cl2567, plain,
% 42.78/7.04 ((~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.04 (sk4 @ (sk1 @ sk3)))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.04 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero)))),
% 42.78/7.04 inference('demod', [status(thm)],
% 42.78/7.04 [zip_derived_cl2565, zip_derived_cl17, zip_derived_cl18,
% 42.78/7.04 zip_derived_cl27])).
% 42.78/7.04 thf(zip_derived_cl5693, plain,
% 42.78/7.04 ((~ (in_environment @ sk3 @ (sk1 @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.04 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.04 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl2567])).
% 42.78/7.04 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.04 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.04 thf(zip_derived_cl5694, plain,
% 42.78/7.04 ((((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.04 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.04 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.04 inference('demod', [status(thm)], [zip_derived_cl5693, zip_derived_cl27])).
% 42.78/7.04 thf(zip_derived_cl5713, plain,
% 42.78/7.04 ((((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.04 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3)))),
% 42.78/7.04 inference('sup+', [status(thm)], [zip_derived_cl2158, zip_derived_cl5694])).
% 42.78/7.04 thf(zip_derived_cl5720, plain,
% 42.78/7.04 ((((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.04 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl5713])).
% 42.78/7.04 thf(zip_derived_cl5764, plain,
% 42.78/7.04 ((((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.04 inference('sup+', [status(thm)], [zip_derived_cl2158, zip_derived_cl5720])).
% 42.78/7.04 thf(zip_derived_cl5766, plain,
% 42.78/7.04 (( (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3)))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl5764])).
% 42.78/7.04 thf(zip_derived_cl2158, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 42.78/7.04 thf(zip_derived_cl19, plain,
% 42.78/7.04 (![X0 : $i]:
% 42.78/7.04 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.04 (sk4 @ X0))
% 42.78/7.04 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.04 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/7.04 thf(zip_derived_cl2158, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 42.78/7.04 thf(zip_derived_cl2158, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 42.78/7.04 thf(zip_derived_cl2158, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 42.78/7.04 thf(zip_derived_cl415, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.04 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @ zero))),
% 42.78/7.04 inference('demod', [status(thm)], [zip_derived_cl414, zip_derived_cl31])).
% 42.78/7.04 thf(zip_derived_cl2192, plain,
% 42.78/7.04 (( (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.04 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.04 inference('sup+', [status(thm)], [zip_derived_cl2158, zip_derived_cl415])).
% 42.78/7.04 thf(zip_derived_cl2204, plain,
% 42.78/7.04 ((((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl2192])).
% 42.78/7.04 thf(zip_derived_cl2478, plain,
% 42.78/7.04 ((((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3)))),
% 42.78/7.04 inference('sup+', [status(thm)], [zip_derived_cl2158, zip_derived_cl2204])).
% 42.78/7.04 thf(zip_derived_cl2481, plain,
% 42.78/7.04 ((((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.04 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl2478])).
% 42.78/7.04 thf(zip_derived_cl2511, plain,
% 42.78/7.04 ((((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 42.78/7.04 inference('sup+', [status(thm)], [zip_derived_cl2158, zip_derived_cl2481])).
% 42.78/7.04 thf(zip_derived_cl2512, plain,
% 42.78/7.04 (( (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3)))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl2511])).
% 42.78/7.04 thf(zip_derived_cl80, plain,
% 42.78/7.04 (![X0 : $i, X1 : $i]:
% 42.78/7.04 (~ (environment @ X0)
% 42.78/7.04 | ~ (stable @ X0)
% 42.78/7.04 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.04 (sk4 @ (sk1 @ X0)))
% 42.78/7.04 | ~ (in_environment @ sk3 @ (sk1 @ X0))
% 42.78/7.04 | (greater @
% 42.78/7.04 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ X0))) @ X1)
% 42.78/7.04 | ~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ X0))) @ X1))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 42.78/7.04 thf(zip_derived_cl2158, plain,
% 42.78/7.04 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.04 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 42.78/7.04 thf(zip_derived_cl41, plain,
% 42.78/7.04 ((~ (greater @
% 42.78/7.04 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl21])).
% 42.78/7.04 thf(zip_derived_cl2161, plain,
% 42.78/7.04 ((~ (greater @
% 42.78/7.04 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl2158, zip_derived_cl41])).
% 42.78/7.04 thf(zip_derived_cl2212, plain,
% 42.78/7.04 ((~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.04 | ~ (in_environment @ sk3 @ (sk1 @ sk3))
% 42.78/7.04 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.04 (sk4 @ (sk1 @ sk3)))
% 42.78/7.04 | ~ (stable @ sk3)
% 42.78/7.04 | ~ (environment @ sk3)
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl2161])).
% 42.78/7.04 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.04 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.04 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 42.78/7.04 inference('cnf', [status(esa)], [zf_stmt_2])).
% 42.78/7.04 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.04 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.04 thf(zip_derived_cl2213, plain,
% 42.78/7.04 ((~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.04 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.04 (sk4 @ (sk1 @ sk3)))
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.04 inference('demod', [status(thm)],
% 42.78/7.04 [zip_derived_cl2212, zip_derived_cl27, zip_derived_cl18,
% 42.78/7.04 zip_derived_cl17])).
% 42.78/7.04 thf(zip_derived_cl2620, plain,
% 42.78/7.04 ((((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.04 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.04 (sk4 @ (sk1 @ sk3))))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl2512, zip_derived_cl2213])).
% 42.78/7.04 thf(zip_derived_cl2621, plain,
% 42.78/7.04 ((~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.04 (sk4 @ (sk1 @ sk3)))
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3)))),
% 42.78/7.04 inference('simplify', [status(thm)], [zip_derived_cl2620])).
% 42.78/7.04 thf(zip_derived_cl2678, plain,
% 42.78/7.04 ((~ (in_environment @ sk3 @ (sk1 @ sk3))
% 42.78/7.04 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.04 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl2621])).
% 42.78/7.04 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.04 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.04 thf(zip_derived_cl2679, plain,
% 42.78/7.04 ((((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.04 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.04 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.04 | ~ (greater @ zero @
% 42.78/7.04 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.04 inference('demod', [status(thm)], [zip_derived_cl2678, zip_derived_cl27])).
% 42.78/7.04 thf(zip_derived_cl2686, plain,
% 42.78/7.05 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3)))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl2158, zip_derived_cl2679])).
% 42.78/7.05 thf(zip_derived_cl2693, plain,
% 42.78/7.05 ((((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ~ (greater @ zero @
% 42.78/7.05 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.05 inference('simplify', [status(thm)], [zip_derived_cl2686])).
% 42.78/7.05 thf(zip_derived_cl5790, plain,
% 42.78/7.05 ((((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 42.78/7.05 inference('clc', [status(thm)], [zip_derived_cl5766, zip_derived_cl2693])).
% 42.78/7.05 thf(zip_derived_cl19, plain,
% 42.78/7.05 (![X0 : $i]:
% 42.78/7.05 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.05 (sk4 @ X0))
% 42.78/7.05 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/7.05 thf(zip_derived_cl5790, plain,
% 42.78/7.05 ((((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 42.78/7.05 inference('clc', [status(thm)], [zip_derived_cl5766, zip_derived_cl2693])).
% 42.78/7.05 thf(zip_derived_cl59, plain,
% 42.78/7.05 (![X0 : $i]:
% 42.78/7.05 (~ (in_environment @ sk3 @ (sk1 @ X0))
% 42.78/7.05 | (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ X0))) @
% 42.78/7.05 (growth_rate @ first_movers @ (sk4 @ (sk1 @ X0))))
% 42.78/7.05 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.05 (sk4 @ (sk1 @ X0)))
% 42.78/7.05 | ~ (stable @ X0)
% 42.78/7.05 | ~ (environment @ X0))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl14])).
% 42.78/7.05 thf(zip_derived_cl5801, plain,
% 42.78/7.05 (( (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ~ (environment @ sk3)
% 42.78/7.05 | ~ (stable @ sk3)
% 42.78/7.05 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.05 (sk4 @ (sk1 @ sk3)))
% 42.78/7.05 | ~ (in_environment @ sk3 @ (sk1 @ sk3)))),
% 42.78/7.05 inference('sup+', [status(thm)], [zip_derived_cl5790, zip_derived_cl59])).
% 42.78/7.05 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.05 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.05 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 42.78/7.05 inference('cnf', [status(esa)], [zf_stmt_2])).
% 42.78/7.05 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.05 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.05 thf(zip_derived_cl5809, plain,
% 42.78/7.05 (( (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.05 (sk4 @ (sk1 @ sk3))))),
% 42.78/7.05 inference('demod', [status(thm)],
% 42.78/7.05 [zip_derived_cl5801, zip_derived_cl17, zip_derived_cl18,
% 42.78/7.05 zip_derived_cl27])).
% 42.78/7.05 thf(zip_derived_cl5810, plain,
% 42.78/7.05 ((~ (in_environment @ sk3 @ (sk1 @ sk3))
% 42.78/7.05 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl5809])).
% 42.78/7.05 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.05 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.05 thf(zip_derived_cl5811, plain,
% 42.78/7.05 ((((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 42.78/7.05 inference('demod', [status(thm)], [zip_derived_cl5810, zip_derived_cl27])).
% 42.78/7.05 thf(zip_derived_cl40, plain,
% 42.78/7.05 ((~ (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.05 | ~ (greater @ zero @
% 42.78/7.05 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl21])).
% 42.78/7.05 thf(zip_derived_cl5818, plain,
% 42.78/7.05 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ~ (greater @ zero @
% 42.78/7.05 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl5811, zip_derived_cl40])).
% 42.78/7.05 thf(zip_derived_cl5834, plain,
% 42.78/7.05 ((~ (greater @ zero @ zero)
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl5790, zip_derived_cl5818])).
% 42.78/7.05 thf(zip_derived_cl5835, plain,
% 42.78/7.05 ((((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ~ (greater @ zero @ zero))),
% 42.78/7.05 inference('simplify', [status(thm)], [zip_derived_cl5834])).
% 42.78/7.05 thf(zip_derived_cl2158, plain,
% 42.78/7.05 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.05 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 42.78/7.05 thf(zip_derived_cl19, plain,
% 42.78/7.05 (![X0 : $i]:
% 42.78/7.05 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.05 (sk4 @ X0))
% 42.78/7.05 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/7.05 thf(zip_derived_cl2512, plain,
% 42.78/7.05 (( (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3)))),
% 42.78/7.05 inference('simplify', [status(thm)], [zip_derived_cl2511])).
% 42.78/7.05 thf(zip_derived_cl19, plain,
% 42.78/7.05 (![X0 : $i]:
% 42.78/7.05 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.05 (sk4 @ X0))
% 42.78/7.05 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/7.05 thf(zip_derived_cl80, plain,
% 42.78/7.05 (![X0 : $i, X1 : $i]:
% 42.78/7.05 (~ (environment @ X0)
% 42.78/7.05 | ~ (stable @ X0)
% 42.78/7.05 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.05 (sk4 @ (sk1 @ X0)))
% 42.78/7.05 | ~ (in_environment @ sk3 @ (sk1 @ X0))
% 42.78/7.05 | (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ X0))) @ X1)
% 42.78/7.05 | ~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ X0))) @ X1))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 42.78/7.05 thf(zip_derived_cl2158, plain,
% 42.78/7.05 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.05 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 42.78/7.05 thf(zip_derived_cl2158, plain,
% 42.78/7.05 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.05 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 42.78/7.05 thf(zip_derived_cl2158, plain,
% 42.78/7.05 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.05 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 42.78/7.05 thf(zip_derived_cl491, plain,
% 42.78/7.05 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.05 | (greater @ zero @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.05 inference('demod', [status(thm)], [zip_derived_cl490, zip_derived_cl31])).
% 42.78/7.05 thf(zip_derived_cl2194, plain,
% 42.78/7.05 (( (greater @ zero @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.05 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.05 inference('sup+', [status(thm)], [zip_derived_cl2158, zip_derived_cl491])).
% 42.78/7.05 thf(zip_derived_cl2206, plain,
% 42.78/7.05 ((((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | (greater @ zero @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.05 inference('simplify', [status(thm)], [zip_derived_cl2194])).
% 42.78/7.05 thf(zip_derived_cl2370, plain,
% 42.78/7.05 ((((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | (greater @ zero @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3)))),
% 42.78/7.05 inference('sup+', [status(thm)], [zip_derived_cl2158, zip_derived_cl2206])).
% 42.78/7.05 thf(zip_derived_cl2371, plain,
% 42.78/7.05 ((((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | (greater @ zero @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 42.78/7.05 inference('simplify', [status(thm)], [zip_derived_cl2370])).
% 42.78/7.05 thf(zip_derived_cl2408, plain,
% 42.78/7.05 ((((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | (greater @ zero @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3)))))),
% 42.78/7.05 inference('sup+', [status(thm)], [zip_derived_cl2158, zip_derived_cl2371])).
% 42.78/7.05 thf(zip_derived_cl2409, plain,
% 42.78/7.05 (( (greater @ zero @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))))
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3)))),
% 42.78/7.05 inference('simplify', [status(thm)], [zip_derived_cl2408])).
% 42.78/7.05 thf(zip_derived_cl0, plain,
% 42.78/7.05 (![X0 : $i, X1 : $i, X2 : $i]:
% 42.78/7.05 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 42.78/7.05 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 42.78/7.05 thf(zip_derived_cl2594, plain,
% 42.78/7.05 (![X0 : $i]:
% 42.78/7.05 (((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.05 | (greater @ zero @ X0)
% 42.78/7.05 | ~ (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ X0))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl2409, zip_derived_cl0])).
% 42.78/7.05 thf(zip_derived_cl2694, plain,
% 42.78/7.05 (![X0 : $i]:
% 42.78/7.05 (~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ X0)
% 42.78/7.05 | ~ (in_environment @ sk3 @ (sk1 @ sk3))
% 42.78/7.05 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.05 (sk4 @ (sk1 @ sk3)))
% 42.78/7.05 | ~ (stable @ sk3)
% 42.78/7.05 | ~ (environment @ sk3)
% 42.78/7.05 | (greater @ zero @ X0)
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3)))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl2594])).
% 42.78/7.05 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.05 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.05 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 42.78/7.05 inference('cnf', [status(esa)], [zf_stmt_2])).
% 42.78/7.05 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.05 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.05 thf(zip_derived_cl2697, plain,
% 42.78/7.05 (![X0 : $i]:
% 42.78/7.05 (~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ X0)
% 42.78/7.05 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.05 (sk4 @ (sk1 @ sk3)))
% 42.78/7.05 | (greater @ zero @ X0)
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3)))),
% 42.78/7.05 inference('demod', [status(thm)],
% 42.78/7.05 [zip_derived_cl2694, zip_derived_cl27, zip_derived_cl18,
% 42.78/7.05 zip_derived_cl17])).
% 42.78/7.05 thf(zip_derived_cl2982, plain,
% 42.78/7.05 (![X0 : $i]:
% 42.78/7.05 (~ (in_environment @ sk3 @ (sk1 @ sk3))
% 42.78/7.05 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.05 | (greater @ zero @ X0)
% 42.78/7.05 | ~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @
% 42.78/7.05 X0))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl2697])).
% 42.78/7.05 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.05 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.05 thf(zip_derived_cl2983, plain,
% 42.78/7.05 (![X0 : $i]:
% 42.78/7.05 (((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.05 | (greater @ zero @ X0)
% 42.78/7.05 | ~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @
% 42.78/7.05 X0))),
% 42.78/7.05 inference('demod', [status(thm)], [zip_derived_cl2982, zip_derived_cl27])).
% 42.78/7.05 thf(zip_derived_cl2985, plain,
% 42.78/7.05 ((((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.05 | (greater @ zero @ zero)
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3)))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl2512, zip_derived_cl2983])).
% 42.78/7.05 thf(zip_derived_cl2988, plain,
% 42.78/7.05 (( (greater @ zero @ zero)
% 42.78/7.05 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3)))),
% 42.78/7.05 inference('simplify', [status(thm)], [zip_derived_cl2985])).
% 42.78/7.05 thf(zip_derived_cl59, plain,
% 42.78/7.05 (![X0 : $i]:
% 42.78/7.05 (~ (in_environment @ sk3 @ (sk1 @ X0))
% 42.78/7.05 | (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ X0))) @
% 42.78/7.05 (growth_rate @ first_movers @ (sk4 @ (sk1 @ X0))))
% 42.78/7.05 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.05 (sk4 @ (sk1 @ X0)))
% 42.78/7.05 | ~ (stable @ X0)
% 42.78/7.05 | ~ (environment @ X0))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl14])).
% 42.78/7.05 thf(zip_derived_cl3027, plain,
% 42.78/7.05 (( (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.05 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | (greater @ zero @ zero)
% 42.78/7.05 | ~ (environment @ sk3)
% 42.78/7.05 | ~ (stable @ sk3)
% 42.78/7.05 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.05 (sk4 @ (sk1 @ sk3)))
% 42.78/7.05 | ~ (in_environment @ sk3 @ (sk1 @ sk3)))),
% 42.78/7.05 inference('sup+', [status(thm)], [zip_derived_cl2988, zip_derived_cl59])).
% 42.78/7.05 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.05 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.05 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 42.78/7.05 inference('cnf', [status(esa)], [zf_stmt_2])).
% 42.78/7.05 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.05 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.05 thf(zip_derived_cl3038, plain,
% 42.78/7.05 (( (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 42.78/7.05 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | (greater @ zero @ zero)
% 42.78/7.05 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.05 (sk4 @ (sk1 @ sk3))))),
% 42.78/7.05 inference('demod', [status(thm)],
% 42.78/7.05 [zip_derived_cl3027, zip_derived_cl17, zip_derived_cl18,
% 42.78/7.05 zip_derived_cl27])).
% 42.78/7.05 thf(zip_derived_cl3039, plain,
% 42.78/7.05 ((~ (in_environment @ sk3 @ (sk1 @ sk3))
% 42.78/7.05 | (greater @ zero @ zero)
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl3038])).
% 42.78/7.05 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 42.78/7.05 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 42.78/7.05 thf(zip_derived_cl3040, plain,
% 42.78/7.05 (( (greater @ zero @ zero)
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 42.78/7.05 inference('demod', [status(thm)], [zip_derived_cl3039, zip_derived_cl27])).
% 42.78/7.05 thf(zip_derived_cl2158, plain,
% 42.78/7.05 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.05 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 42.78/7.05 thf(zip_derived_cl2158, plain,
% 42.78/7.05 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.05 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 42.78/7.05 thf(zip_derived_cl2158, plain,
% 42.78/7.05 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 42.78/7.05 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 42.78/7.05 thf(zip_derived_cl19, plain,
% 42.78/7.05 (![X0 : $i]:
% 42.78/7.05 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.05 (sk4 @ X0))
% 42.78/7.05 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/7.05 thf(zip_derived_cl42, plain,
% 42.78/7.05 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | (greater @ (sk2 @ sk3) @ (equilibrium @ sk3)))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl2])).
% 42.78/7.05 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/7.05 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/7.05 thf(zip_derived_cl44, plain,
% 42.78/7.05 (![X0 : $i, X1 : $i]:
% 42.78/7.05 (((sk4 @ X0) = (X0))
% 42.78/7.05 | ~ (in_environment @ sk3 @ X0)
% 42.78/7.05 | (greater @ (sk4 @ X0) @ X1)
% 42.78/7.05 | ~ (greater @ X0 @ X1))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 42.78/7.05 thf(zip_derived_cl3, plain,
% 42.78/7.05 (![X0 : $i, X1 : $i]:
% 42.78/7.05 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 42.78/7.05 inference('cnf', [status(esa)], [mp_greater_or_equal_22])).
% 42.78/7.05 thf(l6_30, axiom,
% 42.78/7.05 (( ~( environment @ A ) ) |
% 42.78/7.05 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 42.78/7.05 ( ~( greater_or_equal @ B @ ( equilibrium @ A ) ) ) |
% 42.78/7.05 ( ( growth_rate @ efficient_producers @ B ) = ( zero ) ) |
% 42.78/7.05 ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) ) |
% 42.78/7.05 ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ))).
% 42.78/7.05 thf(zip_derived_cl11, plain,
% 42.78/7.05 (![X0 : $i, X1 : $i]:
% 42.78/7.05 (~ (environment @ X0)
% 42.78/7.05 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.05 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 42.78/7.05 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 42.78/7.05 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 42.78/7.05 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero))),
% 42.78/7.05 inference('cnf', [status(esa)], [l6_30])).
% 42.78/7.05 thf(zip_derived_cl112, plain,
% 42.78/7.05 (![X0 : $i, X1 : $i]:
% 42.78/7.05 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.05 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero)
% 42.78/7.05 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 42.78/7.05 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 42.78/7.05 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.05 | ~ (environment @ X0))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl11])).
% 42.78/7.05 thf(zip_derived_cl183, plain,
% 42.78/7.05 (![X0 : $i, X1 : $i]:
% 42.78/7.05 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.05 | ~ (in_environment @ sk3 @ X1)
% 42.78/7.05 | ((sk4 @ X1) = (X1))
% 42.78/7.05 | ~ (environment @ X0)
% 42.78/7.05 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.05 (sk4 @ X1))
% 42.78/7.05 | ((growth_rate @ efficient_producers @ (sk4 @ X1)) = (zero))
% 42.78/7.05 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk4 @ X1)))
% 42.78/7.05 | (greater @ (growth_rate @ efficient_producers @ (sk4 @ X1)) @ zero))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl112])).
% 42.78/7.05 thf(zip_derived_cl241, plain,
% 42.78/7.05 (![X0 : $i]:
% 42.78/7.05 ( (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.05 | (greater @ zero @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.05 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.05 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 42.78/7.05 (sk4 @ (sk2 @ sk3)))
% 42.78/7.05 | ~ (environment @ X0)
% 42.78/7.05 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ~ (greater @ (sk2 @ sk3) @ (equilibrium @ X0)))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl183])).
% 42.78/7.05 thf(zip_derived_cl471, plain,
% 42.78/7.05 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ~ (environment @ sk3)
% 42.78/7.05 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.05 (sk4 @ (sk2 @ sk3)))
% 42.78/7.05 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.05 | (greater @ zero @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.05 | (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl241])).
% 42.78/7.05 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 42.78/7.05 inference('cnf', [status(esa)], [zf_stmt_3])).
% 42.78/7.05 thf(zip_derived_cl472, plain,
% 42.78/7.05 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.05 (sk4 @ (sk2 @ sk3)))
% 42.78/7.05 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.05 | (greater @ zero @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.05 | (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero))),
% 42.78/7.05 inference('demod', [status(thm)], [zip_derived_cl471, zip_derived_cl17])).
% 42.78/7.05 thf(zip_derived_cl575, plain,
% 42.78/7.05 ((~ (in_environment @ sk3 @ (sk2 @ sk3))
% 42.78/7.05 | (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.05 | (greater @ zero @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.05 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.05 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl472])).
% 42.78/7.05 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/7.05 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/7.05 thf(zip_derived_cl576, plain,
% 42.78/7.05 (( (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.05 | (greater @ zero @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.05 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.05 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 42.78/7.05 inference('demod', [status(thm)], [zip_derived_cl575, zip_derived_cl31])).
% 42.78/7.05 thf(zip_derived_cl41, plain,
% 42.78/7.05 ((~ (greater @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 42.78/7.05 | ~ (greater @ zero @
% 42.78/7.05 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl21])).
% 42.78/7.05 thf(zip_derived_cl703, plain,
% 42.78/7.05 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 42.78/7.05 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 42.78/7.05 | (greater @ zero @
% 42.78/7.05 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 42.78/7.05 | ~ (greater @ zero @
% 42.78/7.05 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl576, zip_derived_cl41])).
% 42.78/7.05 thf(zip_derived_cl19, plain,
% 42.78/7.05 (![X0 : $i]:
% 42.78/7.05 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 42.78/7.05 (sk4 @ X0))
% 42.78/7.05 | ~ (in_environment @ sk3 @ X0))),
% 42.78/7.05 inference('cnf', [status(esa)], [zf_stmt_0])).
% 42.78/7.05 thf(zip_derived_cl42, plain,
% 42.78/7.05 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 42.78/7.05 | (greater @ (sk2 @ sk3) @ (equilibrium @ sk3)))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl2])).
% 42.78/7.05 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 42.78/7.05 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 42.78/7.05 thf(zip_derived_cl44, plain,
% 42.78/7.05 (![X0 : $i, X1 : $i]:
% 42.78/7.05 (((sk4 @ X0) = (X0))
% 42.78/7.05 | ~ (in_environment @ sk3 @ X0)
% 42.78/7.05 | (greater @ (sk4 @ X0) @ X1)
% 42.78/7.05 | ~ (greater @ X0 @ X1))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 42.78/7.05 thf(zip_derived_cl117, plain,
% 42.78/7.05 (![X0 : $i, X1 : $i]:
% 42.78/7.05 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.05 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 42.78/7.05 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 42.78/7.05 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 42.78/7.05 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 42.78/7.05 | ~ (environment @ X0))),
% 42.78/7.05 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl12])).
% 42.78/7.05 thf(zip_derived_cl191, plain,
% 42.78/7.05 (![X0 : $i, X1 : $i]:
% 42.78/7.05 (~ (greater @ X1 @ (equilibrium @ X0))
% 42.78/7.05 | ~ (in_environment @ sk3 @ X1)
% 42.78/7.05 | ((sk4 @ X1) = (X1))
% 42.78/7.05 | ~ (environment @ X0)
% 42.78/7.05 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.06 (sk4 @ X1))
% 43.74/7.06 | ((growth_rate @ efficient_producers @ (sk4 @ X1)) = (zero))
% 43.74/7.06 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk4 @ X1)))
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X1))))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl117])).
% 43.74/7.06 thf(zip_derived_cl277, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.06 ( (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 43.74/7.06 | (greater @ zero @
% 43.74/7.06 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 43.74/7.06 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.06 (sk4 @ (sk2 @ sk3)))
% 43.74/7.06 | ~ (environment @ X0)
% 43.74/7.06 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | ~ (greater @ (sk2 @ sk3) @ (equilibrium @ X0)))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl191])).
% 43.74/7.06 thf(zip_derived_cl475, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | ~ (environment @ sk3)
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk4 @ (sk2 @ sk3)))
% 43.74/7.06 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 43.74/7.06 | (greater @ zero @
% 43.74/7.06 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl277])).
% 43.74/7.06 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.06 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.06 thf(zip_derived_cl476, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk4 @ (sk2 @ sk3)))
% 43.74/7.06 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 43.74/7.06 | (greater @ zero @
% 43.74/7.06 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl475, zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl577, plain,
% 43.74/7.06 ((~ (in_environment @ sk3 @ (sk2 @ sk3))
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 43.74/7.06 | (greater @ zero @
% 43.74/7.06 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 43.74/7.06 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 43.74/7.06 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl476])).
% 43.74/7.06 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl578, plain,
% 43.74/7.06 (( (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 43.74/7.06 | (greater @ zero @
% 43.74/7.06 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 43.74/7.06 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 43.74/7.06 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl577, zip_derived_cl31])).
% 43.74/7.06 thf(zip_derived_cl724, plain,
% 43.74/7.06 (( (greater @ zero @
% 43.74/7.06 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))))
% 43.74/7.06 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 43.74/7.06 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl703, zip_derived_cl578])).
% 43.74/7.06 thf(zip_derived_cl2198, plain,
% 43.74/7.06 (( (greater @ zero @
% 43.74/7.06 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | ((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero)))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl2158, zip_derived_cl724])).
% 43.74/7.06 thf(zip_derived_cl2210, plain,
% 43.74/7.06 ((((growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) = (zero))
% 43.74/7.06 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @
% 43.74/7.06 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl2198])).
% 43.74/7.06 thf(zip_derived_cl2540, plain,
% 43.74/7.06 ((((growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @
% 43.74/7.06 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3)))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl2158, zip_derived_cl2210])).
% 43.74/7.06 thf(zip_derived_cl2544, plain,
% 43.74/7.06 ((((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | (greater @ zero @
% 43.74/7.06 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl2540])).
% 43.74/7.06 thf(zip_derived_cl2646, plain,
% 43.74/7.06 ((((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @
% 43.74/7.06 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl2158, zip_derived_cl2544])).
% 43.74/7.06 thf(zip_derived_cl2647, plain,
% 43.74/7.06 (( (greater @ zero @
% 43.74/7.06 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.06 | ((growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3)))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl2646])).
% 43.74/7.06 thf(zip_derived_cl0, plain,
% 43.74/7.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.74/7.06 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 43.74/7.06 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 43.74/7.06 thf(zip_derived_cl2702, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.06 (((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.06 | (greater @ zero @ X0)
% 43.74/7.06 | ~ (greater @
% 43.74/7.06 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ X0))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl2647, zip_derived_cl0])).
% 43.74/7.06 thf(zip_derived_cl3045, plain,
% 43.74/7.06 ((((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3)))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl3040, zip_derived_cl2702])).
% 43.74/7.06 thf(zip_derived_cl3057, plain,
% 43.74/7.06 ((((growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3)))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl3045])).
% 43.74/7.06 thf(zip_derived_cl3040, plain,
% 43.74/7.06 (( (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | (greater @
% 43.74/7.06 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl3039, zip_derived_cl27])).
% 43.74/7.06 thf(zip_derived_cl3073, plain,
% 43.74/7.06 (( (greater @ zero @ zero)
% 43.74/7.06 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl3057, zip_derived_cl3040])).
% 43.74/7.06 thf(zip_derived_cl3087, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl3073])).
% 43.74/7.06 thf(zip_derived_cl19, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.06 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk4 @ X0))
% 43.74/7.06 | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.74/7.06 thf(zip_derived_cl3090, plain,
% 43.74/7.06 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ~ (in_environment @ sk3 @ (sk1 @ sk3)))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl3087, zip_derived_cl19])).
% 43.74/7.06 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl3125, plain,
% 43.74/7.06 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl3090, zip_derived_cl27])).
% 43.74/7.06 thf(zip_derived_cl111, plain,
% 43.74/7.06 (( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | ((growth_rate @ efficient_producers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl3169, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((growth_rate @ efficient_producers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl3125, zip_derived_cl111])).
% 43.74/7.06 thf(zip_derived_cl3087, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl3073])).
% 43.74/7.06 thf(zip_derived_cl20, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.06 ( (greater_or_equal @ (sk4 @ X0) @ X0) | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 43.74/7.06 thf(zip_derived_cl3091, plain,
% 43.74/7.06 (( (greater_or_equal @ (sk2 @ sk3) @ (sk1 @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ~ (in_environment @ sk3 @ (sk1 @ sk3)))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl3087, zip_derived_cl20])).
% 43.74/7.06 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl3126, plain,
% 43.74/7.06 (( (greater_or_equal @ (sk2 @ sk3) @ (sk1 @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl3091, zip_derived_cl27])).
% 43.74/7.06 thf(zip_derived_cl14, plain,
% 43.74/7.06 (![X0 : $i, X1 : $i]:
% 43.74/7.06 (~ (environment @ X0)
% 43.74/7.06 | ~ (stable @ X0)
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 43.74/7.06 | ~ (greater_or_equal @ X1 @ (sk1 @ X0))
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 43.74/7.06 (growth_rate @ first_movers @ X1)))),
% 43.74/7.06 inference('cnf', [status(esa)], [l1_33])).
% 43.74/7.06 thf(zip_derived_cl3157, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3))
% 43.74/7.06 | ~ (stable @ sk3)
% 43.74/7.06 | ~ (environment @ sk3))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl3126, zip_derived_cl14])).
% 43.74/7.06 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 43.74/7.06 inference('cnf', [status(esa)], [zf_stmt_2])).
% 43.74/7.06 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.06 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.06 thf(zip_derived_cl3160, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)],
% 43.74/7.06 [zip_derived_cl3157, zip_derived_cl18, zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl3125, plain,
% 43.74/7.06 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl3090, zip_derived_cl27])).
% 43.74/7.06 thf(zip_derived_cl3395, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl3160, zip_derived_cl3125])).
% 43.74/7.06 thf(zip_derived_cl3440, plain,
% 43.74/7.06 (( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl3169, zip_derived_cl3395])).
% 43.74/7.06 thf(zip_derived_cl3452, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl3440])).
% 43.74/7.06 thf(zip_derived_cl3461, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl2158, zip_derived_cl3452])).
% 43.74/7.06 thf(zip_derived_cl3462, plain,
% 43.74/7.06 (( (greater @ zero @ zero)
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl3461])).
% 43.74/7.06 thf(zip_derived_cl3087, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl3073])).
% 43.74/7.06 thf(zip_derived_cl3125, plain,
% 43.74/7.06 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl3090, zip_derived_cl27])).
% 43.74/7.06 thf(zip_derived_cl85, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl3164, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl3125, zip_derived_cl85])).
% 43.74/7.06 thf(zip_derived_cl3087, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl3073])).
% 43.74/7.06 thf(zip_derived_cl19, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.06 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk4 @ X0))
% 43.74/7.06 | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.74/7.06 thf(zip_derived_cl3087, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl3073])).
% 43.74/7.06 thf(zip_derived_cl80, plain,
% 43.74/7.06 (![X0 : $i, X1 : $i]:
% 43.74/7.06 (~ (environment @ X0)
% 43.74/7.06 | ~ (stable @ X0)
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.06 (sk4 @ (sk1 @ X0)))
% 43.74/7.06 | ~ (in_environment @ sk3 @ (sk1 @ X0))
% 43.74/7.06 | (greater @
% 43.74/7.06 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ X0))) @ X1)
% 43.74/7.06 | ~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ X0))) @ X1))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 43.74/7.06 thf(zip_derived_cl3096, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.06 ( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ X0)
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @
% 43.74/7.06 X0)
% 43.74/7.06 | ~ (in_environment @ sk3 @ (sk1 @ sk3))
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk4 @ (sk1 @ sk3)))
% 43.74/7.06 | ~ (stable @ sk3)
% 43.74/7.06 | ~ (environment @ sk3))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl3087, zip_derived_cl80])).
% 43.74/7.06 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 43.74/7.06 inference('cnf', [status(esa)], [zf_stmt_2])).
% 43.74/7.06 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.06 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.06 thf(zip_derived_cl3131, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.06 ( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ X0)
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @
% 43.74/7.06 X0)
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk4 @ (sk1 @ sk3))))),
% 43.74/7.06 inference('demod', [status(thm)],
% 43.74/7.06 [zip_derived_cl3096, zip_derived_cl27, zip_derived_cl18,
% 43.74/7.06 zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl3304, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.06 (~ (in_environment @ sk3 @ (sk1 @ sk3))
% 43.74/7.06 | ~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @
% 43.74/7.06 X0)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ X0))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl3131])).
% 43.74/7.06 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl3307, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.06 (~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ X0)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ X0))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl3304, zip_derived_cl27])).
% 43.74/7.06 thf(zip_derived_cl3317, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.06 (~ (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ X0)
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ X0)
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl3087, zip_derived_cl3307])).
% 43.74/7.06 thf(zip_derived_cl3322, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.06 ( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ X0)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ~ (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ X0))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl3317])).
% 43.74/7.06 thf(zip_derived_cl4225, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl3164, zip_derived_cl3322])).
% 43.74/7.06 thf(zip_derived_cl3087, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl3073])).
% 43.74/7.06 thf(zip_derived_cl40, plain,
% 43.74/7.06 ((~ (greater @
% 43.74/7.06 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.06 | ~ (greater @ zero @
% 43.74/7.06 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl21])).
% 43.74/7.06 thf(zip_derived_cl3097, plain,
% 43.74/7.06 ((~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ~ (greater @ zero @
% 43.74/7.06 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl3087, zip_derived_cl40])).
% 43.74/7.06 thf(zip_derived_cl4233, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | ~ (greater @ zero @
% 43.74/7.06 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl4225, zip_derived_cl3097])).
% 43.74/7.06 thf(zip_derived_cl4243, plain,
% 43.74/7.06 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl4233])).
% 43.74/7.06 thf(zip_derived_cl4245, plain,
% 43.74/7.06 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero)))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl3087, zip_derived_cl4243])).
% 43.74/7.06 thf(zip_derived_cl4247, plain,
% 43.74/7.06 ((((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl4245])).
% 43.74/7.06 thf(zip_derived_cl4249, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero)))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl3462, zip_derived_cl4247])).
% 43.74/7.06 thf(zip_derived_cl4251, plain,
% 43.74/7.06 ((((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl4249])).
% 43.74/7.06 thf(zip_derived_cl3395, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl3160, zip_derived_cl3125])).
% 43.74/7.06 thf(zip_derived_cl4291, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl4251, zip_derived_cl3395])).
% 43.74/7.06 thf(zip_derived_cl4308, plain,
% 43.74/7.06 (( (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl4291])).
% 43.74/7.06 thf(zip_derived_cl2158, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 43.74/7.06 thf(zip_derived_cl3395, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl3160, zip_derived_cl3125])).
% 43.74/7.06 thf(zip_derived_cl3397, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk1 @ sk3)))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl2158, zip_derived_cl3395])).
% 43.74/7.06 thf(zip_derived_cl3399, plain,
% 43.74/7.06 (( (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl3397])).
% 43.74/7.06 thf(zip_derived_cl0, plain,
% 43.74/7.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.74/7.06 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 43.74/7.06 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 43.74/7.06 thf(zip_derived_cl3401, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.06 (((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ X0)
% 43.74/7.06 | ~ (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ X0))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl3399, zip_derived_cl0])).
% 43.74/7.06 thf(zip_derived_cl4734, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl4308, zip_derived_cl3401])).
% 43.74/7.06 thf(zip_derived_cl3125, plain,
% 43.74/7.06 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl3090, zip_derived_cl27])).
% 43.74/7.06 thf(zip_derived_cl101, plain,
% 43.74/7.06 (( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk2 @ sk3)))
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl3167, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl3125, zip_derived_cl101])).
% 43.74/7.06 thf(zip_derived_cl3087, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl3073])).
% 43.74/7.06 thf(zip_derived_cl4251, plain,
% 43.74/7.06 ((((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl4249])).
% 43.74/7.06 thf(zip_derived_cl3462, plain,
% 43.74/7.06 (( (greater @ zero @ zero)
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl3461])).
% 43.74/7.06 thf(zip_derived_cl4294, plain,
% 43.74/7.06 (( (greater @ zero @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl4251, zip_derived_cl3462])).
% 43.74/7.06 thf(zip_derived_cl4311, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl4294])).
% 43.74/7.06 thf(zip_derived_cl2158, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 43.74/7.06 thf(zip_derived_cl3125, plain,
% 43.74/7.06 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl3090, zip_derived_cl27])).
% 43.74/7.06 thf(zip_derived_cl3172, plain,
% 43.74/7.06 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk1 @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl2158, zip_derived_cl3125])).
% 43.74/7.06 thf(zip_derived_cl3173, plain,
% 43.74/7.06 (( (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk1 @ sk3)))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl3172])).
% 43.74/7.06 thf(zip_derived_cl58, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.06 ( (greater @ (growth_rate @ efficient_producers @ (sk1 @ X0)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk1 @ X0)))
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.06 (sk1 @ X0))
% 43.74/7.06 | ~ (stable @ X0)
% 43.74/7.06 | ~ (environment @ X0))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl14])).
% 43.74/7.06 thf(zip_derived_cl3174, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ~ (environment @ sk3)
% 43.74/7.06 | ~ (stable @ sk3)
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl3173, zip_derived_cl58])).
% 43.74/7.06 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.06 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.06 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 43.74/7.06 inference('cnf', [status(esa)], [zf_stmt_2])).
% 43.74/7.06 thf(zip_derived_cl3175, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 43.74/7.06 inference('demod', [status(thm)],
% 43.74/7.06 [zip_derived_cl3174, zip_derived_cl17, zip_derived_cl18])).
% 43.74/7.06 thf(zip_derived_cl0, plain,
% 43.74/7.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.74/7.06 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 43.74/7.06 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 43.74/7.06 thf(zip_derived_cl3260, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.06 ( (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ X0)
% 43.74/7.06 | ~ (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ X0))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl3175, zip_derived_cl0])).
% 43.74/7.06 thf(zip_derived_cl2158, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 43.74/7.06 thf(zip_derived_cl3097, plain,
% 43.74/7.06 ((~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ~ (greater @ zero @
% 43.74/7.06 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl3087, zip_derived_cl40])).
% 43.74/7.06 thf(zip_derived_cl3244, plain,
% 43.74/7.06 ((~ (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ~ (greater @ zero @
% 43.74/7.06 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl2158, zip_derived_cl3097])).
% 43.74/7.06 thf(zip_derived_cl3245, plain,
% 43.74/7.06 (( (greater @ zero @ zero)
% 43.74/7.06 | ~ (greater @ zero @
% 43.74/7.06 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ~ (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl3244])).
% 43.74/7.06 thf(zip_derived_cl3280, plain,
% 43.74/7.06 ((~ (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ~ (greater @ zero @
% 43.74/7.06 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl3260, zip_derived_cl3245])).
% 43.74/7.06 thf(zip_derived_cl3286, plain,
% 43.74/7.06 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ~ (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl3280])).
% 43.74/7.06 thf(zip_derived_cl4322, plain,
% 43.74/7.06 (( (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ~ (greater @ zero @
% 43.74/7.06 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl4311, zip_derived_cl3286])).
% 43.74/7.06 thf(zip_derived_cl4329, plain,
% 43.74/7.06 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl4322])).
% 43.74/7.06 thf(zip_derived_cl4331, plain,
% 43.74/7.06 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl3087, zip_derived_cl4329])).
% 43.74/7.06 thf(zip_derived_cl4333, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl4331])).
% 43.74/7.06 thf(zip_derived_cl4959, plain,
% 43.74/7.06 (( (greater @ zero @ (growth_rate @ efficient_producers @ (sk2 @ sk3)))
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl3167, zip_derived_cl4333])).
% 43.74/7.06 thf(zip_derived_cl0, plain,
% 43.74/7.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.74/7.06 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 43.74/7.06 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 43.74/7.06 thf(zip_derived_cl4960, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.06 (((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | (greater @ zero @ X0)
% 43.74/7.06 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ X0))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl4959, zip_derived_cl0])).
% 43.74/7.06 thf(zip_derived_cl5021, plain,
% 43.74/7.06 (( (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl4734, zip_derived_cl4960])).
% 43.74/7.06 thf(zip_derived_cl5029, plain,
% 43.74/7.06 ((((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl5021])).
% 43.74/7.06 thf(zip_derived_cl3125, plain,
% 43.74/7.06 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl3090, zip_derived_cl27])).
% 43.74/7.06 thf(zip_derived_cl38, plain,
% 43.74/7.06 ( (greater_or_equal @ (sk2 @ sk3) @ (equilibrium @ sk3))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl6, plain,
% 43.74/7.06 (![X0 : $i, X1 : $i]:
% 43.74/7.06 (~ (environment @ X0)
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 43.74/7.06 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 43.74/7.06 | ((growth_rate @ first_movers @ X1) = (zero))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 43.74/7.06 inference('cnf', [status(esa)], [l6_25])).
% 43.74/7.06 thf(zip_derived_cl89, plain,
% 43.74/7.06 (( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3))
% 43.74/7.06 | ~ (environment @ sk3))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl6])).
% 43.74/7.06 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.06 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.06 thf(zip_derived_cl91, plain,
% 43.74/7.06 (( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl89, zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl3165, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl3125, zip_derived_cl91])).
% 43.74/7.06 thf(zip_derived_cl3452, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl3440])).
% 43.74/7.06 thf(zip_derived_cl4827, plain,
% 43.74/7.06 (( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl3165, zip_derived_cl3452])).
% 43.74/7.06 thf(zip_derived_cl4333, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl4331])).
% 43.74/7.06 thf(zip_derived_cl4828, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl4827, zip_derived_cl4333])).
% 43.74/7.06 thf(zip_derived_cl5038, plain,
% 43.74/7.06 (( (greater @ zero @ zero)
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl5029, zip_derived_cl4828])).
% 43.74/7.06 thf(zip_derived_cl5049, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3)) | (greater @ zero @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl5038])).
% 43.74/7.06 thf(zip_derived_cl5836, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl5835, zip_derived_cl5049])).
% 43.74/7.06 thf(zip_derived_cl20, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.06 ( (greater_or_equal @ (sk4 @ X0) @ X0) | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.06 inference('cnf', [status(esa)], [zf_stmt_1])).
% 43.74/7.06 thf(zip_derived_cl5838, plain,
% 43.74/7.06 (( (greater_or_equal @ (sk2 @ sk3) @ (sk1 @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ~ (in_environment @ sk3 @ (sk1 @ sk3)))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl5836, zip_derived_cl20])).
% 43.74/7.06 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl5864, plain,
% 43.74/7.06 (( (greater_or_equal @ (sk2 @ sk3) @ (sk1 @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl5838, zip_derived_cl27])).
% 43.74/7.06 thf(zip_derived_cl14, plain,
% 43.74/7.06 (![X0 : $i, X1 : $i]:
% 43.74/7.06 (~ (environment @ X0)
% 43.74/7.06 | ~ (stable @ X0)
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 43.74/7.06 | ~ (greater_or_equal @ X1 @ (sk1 @ X0))
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 43.74/7.06 (growth_rate @ first_movers @ X1)))),
% 43.74/7.06 inference('cnf', [status(esa)], [l1_33])).
% 43.74/7.06 thf(zip_derived_cl5898, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3))
% 43.74/7.06 | ~ (stable @ sk3)
% 43.74/7.06 | ~ (environment @ sk3))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl5864, zip_derived_cl14])).
% 43.74/7.06 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 43.74/7.06 inference('cnf', [status(esa)], [zf_stmt_2])).
% 43.74/7.06 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.06 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.06 thf(zip_derived_cl5902, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)],
% 43.74/7.06 [zip_derived_cl5898, zip_derived_cl18, zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl5836, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl5835, zip_derived_cl5049])).
% 43.74/7.06 thf(zip_derived_cl19, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.06 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk4 @ X0))
% 43.74/7.06 | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.06 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.74/7.06 thf(zip_derived_cl5837, plain,
% 43.74/7.06 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ~ (in_environment @ sk3 @ (sk1 @ sk3)))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl5836, zip_derived_cl19])).
% 43.74/7.06 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl5863, plain,
% 43.74/7.06 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl5837, zip_derived_cl27])).
% 43.74/7.06 thf(zip_derived_cl6005, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl5902, zip_derived_cl5863])).
% 43.74/7.06 thf(zip_derived_cl5863, plain,
% 43.74/7.06 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl5837, zip_derived_cl27])).
% 43.74/7.06 thf(zip_derived_cl101, plain,
% 43.74/7.06 (( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk2 @ sk3)))
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl5908, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl5863, zip_derived_cl101])).
% 43.74/7.06 thf(zip_derived_cl5836, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl5835, zip_derived_cl5049])).
% 43.74/7.06 thf(zip_derived_cl2158, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 43.74/7.06 thf(zip_derived_cl5863, plain,
% 43.74/7.06 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl5837, zip_derived_cl27])).
% 43.74/7.06 thf(zip_derived_cl111, plain,
% 43.74/7.06 (( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | ((growth_rate @ efficient_producers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl5910, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((growth_rate @ efficient_producers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl5863, zip_derived_cl111])).
% 43.74/7.06 thf(zip_derived_cl6005, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl5902, zip_derived_cl5863])).
% 43.74/7.06 thf(zip_derived_cl6023, plain,
% 43.74/7.06 (( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl5910, zip_derived_cl6005])).
% 43.74/7.06 thf(zip_derived_cl6030, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl6023])).
% 43.74/7.06 thf(zip_derived_cl6035, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl2158, zip_derived_cl6030])).
% 43.74/7.06 thf(zip_derived_cl6037, plain,
% 43.74/7.06 (( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl6035])).
% 43.74/7.06 thf(zip_derived_cl5836, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl5835, zip_derived_cl5049])).
% 43.74/7.06 thf(zip_derived_cl5863, plain,
% 43.74/7.06 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl5837, zip_derived_cl27])).
% 43.74/7.06 thf(zip_derived_cl85, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.06 (sk2 @ sk3)))),
% 43.74/7.06 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl17])).
% 43.74/7.06 thf(zip_derived_cl5905, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl5863, zip_derived_cl85])).
% 43.74/7.06 thf(zip_derived_cl6005, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl5902, zip_derived_cl5863])).
% 43.74/7.06 thf(zip_derived_cl0, plain,
% 43.74/7.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.74/7.06 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 43.74/7.06 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 43.74/7.06 thf(zip_derived_cl6006, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.06 (((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ X0)
% 43.74/7.06 | ~ (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ X0))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl6005, zip_derived_cl0])).
% 43.74/7.06 thf(zip_derived_cl6233, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl5905, zip_derived_cl6006])).
% 43.74/7.06 thf(zip_derived_cl5836, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk4 @ (sk1 @ sk3)) = (sk2 @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl5835, zip_derived_cl5049])).
% 43.74/7.06 thf(zip_derived_cl40, plain,
% 43.74/7.06 ((~ (greater @
% 43.74/7.06 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.06 | ~ (greater @ zero @
% 43.74/7.06 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl21])).
% 43.74/7.06 thf(zip_derived_cl5844, plain,
% 43.74/7.06 ((~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ~ (greater @ zero @
% 43.74/7.06 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl5836, zip_derived_cl40])).
% 43.74/7.06 thf(zip_derived_cl6235, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | ~ (greater @ zero @
% 43.74/7.06 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl6233, zip_derived_cl5844])).
% 43.74/7.06 thf(zip_derived_cl6240, plain,
% 43.74/7.06 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl6235])).
% 43.74/7.06 thf(zip_derived_cl6250, plain,
% 43.74/7.06 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero)))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl5836, zip_derived_cl6240])).
% 43.74/7.06 thf(zip_derived_cl6252, plain,
% 43.74/7.06 ((((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl6250])).
% 43.74/7.06 thf(zip_derived_cl6254, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero)))),
% 43.74/7.06 inference('sup-', [status(thm)], [zip_derived_cl6037, zip_derived_cl6252])).
% 43.74/7.06 thf(zip_derived_cl6257, plain,
% 43.74/7.06 ((((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl6254])).
% 43.74/7.06 thf(zip_derived_cl6005, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl5902, zip_derived_cl5863])).
% 43.74/7.06 thf(zip_derived_cl6290, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl6257, zip_derived_cl6005])).
% 43.74/7.06 thf(zip_derived_cl6304, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl6290])).
% 43.74/7.06 thf(zip_derived_cl2158, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl2157, zip_derived_cl2120])).
% 43.74/7.06 thf(zip_derived_cl6005, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('clc', [status(thm)], [zip_derived_cl5902, zip_derived_cl5863])).
% 43.74/7.06 thf(zip_derived_cl6007, plain,
% 43.74/7.06 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk1 @ sk3)))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.06 inference('sup+', [status(thm)], [zip_derived_cl2158, zip_derived_cl6005])).
% 43.74/7.06 thf(zip_derived_cl6011, plain,
% 43.74/7.06 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.06 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 43.74/7.06 (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 43.74/7.06 inference('simplify', [status(thm)], [zip_derived_cl6007])).
% 43.74/7.06 thf(zip_derived_cl0, plain,
% 43.74/7.06 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.74/7.06 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 43.74/7.06 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 43.74/7.06 thf(zip_derived_cl6013, plain,
% 43.74/7.06 (![X0 : $i]:
% 43.74/7.07 (((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.07 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ X0)
% 43.74/7.07 | ~ (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ X0))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl6011, zip_derived_cl0])).
% 43.74/7.07 thf(zip_derived_cl6360, plain,
% 43.74/7.07 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 43.74/7.07 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6304, zip_derived_cl6013])).
% 43.74/7.07 thf(zip_derived_cl5844, plain,
% 43.74/7.07 ((~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 43.74/7.07 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl5836, zip_derived_cl40])).
% 43.74/7.07 thf(zip_derived_cl6362, plain,
% 43.74/7.07 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.07 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl6360, zip_derived_cl5844])).
% 43.74/7.07 thf(zip_derived_cl6367, plain,
% 43.74/7.07 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.07 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl6362])).
% 43.74/7.07 thf(zip_derived_cl6378, plain,
% 43.74/7.07 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.07 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.07 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl5836, zip_derived_cl6367])).
% 43.74/7.07 thf(zip_derived_cl6380, plain,
% 43.74/7.07 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.07 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl6378])).
% 43.74/7.07 thf(zip_derived_cl6486, plain,
% 43.74/7.07 (( (greater @ zero @ (growth_rate @ efficient_producers @ (sk2 @ sk3)))
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.07 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl5908, zip_derived_cl6380])).
% 43.74/7.07 thf(zip_derived_cl0, plain,
% 43.74/7.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.74/7.07 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 43.74/7.07 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 43.74/7.07 thf(zip_derived_cl6487, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 (((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.07 | (greater @ zero @ X0)
% 43.74/7.07 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ X0))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl6486, zip_derived_cl0])).
% 43.74/7.07 thf(zip_derived_cl6653, plain,
% 43.74/7.07 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.07 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.07 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl6005, zip_derived_cl6487])).
% 43.74/7.07 thf(zip_derived_cl6661, plain,
% 43.74/7.07 ((((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.07 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.07 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl6653])).
% 43.74/7.07 thf(zip_derived_cl6380, plain,
% 43.74/7.07 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.07 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl6378])).
% 43.74/7.07 thf(zip_derived_cl6694, plain,
% 43.74/7.07 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero)))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6661, zip_derived_cl6380])).
% 43.74/7.07 thf(zip_derived_cl6380, plain,
% 43.74/7.07 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.07 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl6378])).
% 43.74/7.07 thf(zip_derived_cl6701, plain,
% 43.74/7.07 ((~ (greater @ zero @ zero)
% 43.74/7.07 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 43.74/7.07 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl6694, zip_derived_cl6380])).
% 43.74/7.07 thf(zip_derived_cl6711, plain,
% 43.74/7.07 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ~ (greater @ zero @ zero))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl6701])).
% 43.74/7.07 thf(zip_derived_cl5049, plain,
% 43.74/7.07 ((((sk2 @ sk3) = (equilibrium @ sk3)) | (greater @ zero @ zero))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl5038])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6749, plain,
% 43.74/7.07 (( (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl243, zip_derived_cl6712, zip_derived_cl6712,
% 43.74/7.07 zip_derived_cl6712, zip_derived_cl6712, zip_derived_cl6712,
% 43.74/7.07 zip_derived_cl6712])).
% 43.74/7.07 thf(zip_derived_cl19, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (sk4 @ X0))
% 43.74/7.07 | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.07 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.74/7.07 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 43.74/7.07 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6713, plain,
% 43.74/7.07 ( (in_environment @ sk3 @ (equilibrium @ sk3))),
% 43.74/7.07 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl6712])).
% 43.74/7.07 thf(zip_derived_cl20, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 ( (greater_or_equal @ (sk4 @ X0) @ X0) | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.07 inference('cnf', [status(esa)], [zf_stmt_1])).
% 43.74/7.07 thf(zip_derived_cl12, plain,
% 43.74/7.07 (![X0 : $i, X1 : $i]:
% 43.74/7.07 (~ (environment @ X0)
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 43.74/7.07 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 43.74/7.07 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 43.74/7.07 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 43.74/7.07 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 43.74/7.07 inference('cnf', [status(esa)], [l6_31])).
% 43.74/7.07 thf(zip_derived_cl120, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 (~ (in_environment @ sk3 @ (equilibrium @ X0))
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ X0))))
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ X0))))
% 43.74/7.07 | ((growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ X0)))
% 43.74/7.07 = (zero))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.07 (sk4 @ (equilibrium @ X0)))
% 43.74/7.07 | ~ (environment @ X0))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl12])).
% 43.74/7.07 thf(zip_derived_cl0, plain,
% 43.74/7.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.74/7.07 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 43.74/7.07 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 43.74/7.07 thf(zip_derived_cl268, plain,
% 43.74/7.07 (![X0 : $i, X1 : $i]:
% 43.74/7.07 (~ (environment @ X0)
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.07 (sk4 @ (equilibrium @ X0)))
% 43.74/7.07 | ((growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ X0)))
% 43.74/7.07 = (zero))
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ X0))))
% 43.74/7.07 | ~ (in_environment @ sk3 @ (equilibrium @ X0))
% 43.74/7.07 | (greater @ zero @ X1)
% 43.74/7.07 | ~ (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ X0))) @
% 43.74/7.07 X1))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl120, zip_derived_cl0])).
% 43.74/7.07 thf(zip_derived_cl6782, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 (~ (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.07 X0)
% 43.74/7.07 | (greater @ zero @ X0)
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | ((growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3)))
% 43.74/7.07 = (zero))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (sk4 @ (equilibrium @ sk3)))
% 43.74/7.07 | ~ (environment @ sk3))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl6713, zip_derived_cl268])).
% 43.74/7.07 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.07 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.07 thf(zip_derived_cl6785, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 (~ (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.07 X0)
% 43.74/7.07 | (greater @ zero @ X0)
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | ((growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3)))
% 43.74/7.07 = (zero))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (sk4 @ (equilibrium @ sk3))))),
% 43.74/7.07 inference('demod', [status(thm)], [zip_derived_cl6782, zip_derived_cl17])).
% 43.74/7.07 thf(zip_derived_cl7227, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 (~ (in_environment @ sk3 @ (equilibrium @ sk3))
% 43.74/7.07 | ((growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3)))
% 43.74/7.07 = (zero))
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | (greater @ zero @ X0)
% 43.74/7.07 | ~ (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.07 X0))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl6785])).
% 43.74/7.07 thf(zip_derived_cl6713, plain,
% 43.74/7.07 ( (in_environment @ sk3 @ (equilibrium @ sk3))),
% 43.74/7.07 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl6712])).
% 43.74/7.07 thf(zip_derived_cl7228, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 (((growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3)))
% 43.74/7.07 = (zero))
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | (greater @ zero @ X0)
% 43.74/7.07 | ~ (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.07 X0))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl7227, zip_derived_cl6713])).
% 43.74/7.07 thf(zip_derived_cl7271, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | ((growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3)))
% 43.74/7.07 = (zero)))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl6749, zip_derived_cl7228])).
% 43.74/7.07 thf(zip_derived_cl7276, plain,
% 43.74/7.07 ((((growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3)))
% 43.74/7.07 = (zero))
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl7271])).
% 43.74/7.07 thf(zip_derived_cl6749, plain,
% 43.74/7.07 (( (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl243, zip_derived_cl6712, zip_derived_cl6712,
% 43.74/7.07 zip_derived_cl6712, zip_derived_cl6712, zip_derived_cl6712,
% 43.74/7.07 zip_derived_cl6712])).
% 43.74/7.07 thf(zip_derived_cl7400, plain,
% 43.74/7.07 (( (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3)))),
% 43.74/7.07 inference('sup+', [status(thm)], [zip_derived_cl7276, zip_derived_cl6749])).
% 43.74/7.07 thf(zip_derived_cl7415, plain,
% 43.74/7.07 ((((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl7400])).
% 43.74/7.07 thf(zip_derived_cl20, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 ( (greater_or_equal @ (sk4 @ X0) @ X0) | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.07 inference('cnf', [status(esa)], [zf_stmt_1])).
% 43.74/7.07 thf(zip_derived_cl5, plain,
% 43.74/7.07 (![X0 : $i, X1 : $i]:
% 43.74/7.07 (~ (environment @ X0)
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 43.74/7.07 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 43.74/7.07 | ((growth_rate @ first_movers @ X1) = (zero))
% 43.74/7.07 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 43.74/7.07 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero))),
% 43.74/7.07 inference('cnf', [status(esa)], [l6_24])).
% 43.74/7.07 thf(zip_derived_cl84, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 (~ (in_environment @ sk3 @ (equilibrium @ X0))
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ X0))) @
% 43.74/7.07 zero)
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ X0))) @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ X0))) = (zero))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.07 (sk4 @ (equilibrium @ X0)))
% 43.74/7.07 | ~ (environment @ X0))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl5])).
% 43.74/7.07 thf(zip_derived_cl0, plain,
% 43.74/7.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.74/7.07 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 43.74/7.07 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 43.74/7.07 thf(zip_derived_cl217, plain,
% 43.74/7.07 (![X0 : $i, X1 : $i]:
% 43.74/7.07 (~ (environment @ X0)
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.07 (sk4 @ (equilibrium @ X0)))
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ X0))) = (zero))
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ X0))) @ zero)
% 43.74/7.07 | ~ (in_environment @ sk3 @ (equilibrium @ X0))
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ X0))) @
% 43.74/7.07 X1)
% 43.74/7.07 | ~ (greater @ zero @ X1))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 43.74/7.07 thf(zip_derived_cl41, plain,
% 43.74/7.07 ((~ (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl21])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6715, plain,
% 43.74/7.07 ((~ (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.07 zero)
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl41, zip_derived_cl6712, zip_derived_cl6712])).
% 43.74/7.07 thf(zip_derived_cl6790, plain,
% 43.74/7.07 ((~ (greater @ zero @ zero)
% 43.74/7.07 | ~ (in_environment @ sk3 @ (equilibrium @ sk3))
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (sk4 @ (equilibrium @ sk3)))
% 43.74/7.07 | ~ (environment @ sk3)
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl217, zip_derived_cl6715])).
% 43.74/7.07 thf(zip_derived_cl6713, plain,
% 43.74/7.07 ( (in_environment @ sk3 @ (equilibrium @ sk3))),
% 43.74/7.07 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl6712])).
% 43.74/7.07 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.07 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.07 thf(zip_derived_cl6799, plain,
% 43.74/7.07 ((~ (greater @ zero @ zero)
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (sk4 @ (equilibrium @ sk3)))
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl6790, zip_derived_cl6713, zip_derived_cl17])).
% 43.74/7.07 thf(zip_derived_cl5049, plain,
% 43.74/7.07 ((((sk2 @ sk3) = (equilibrium @ sk3)) | (greater @ zero @ zero))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl5038])).
% 43.74/7.07 thf(zip_derived_cl84, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 (~ (in_environment @ sk3 @ (equilibrium @ X0))
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ X0))) @
% 43.74/7.07 zero)
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ X0))) @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ X0))) = (zero))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.07 (sk4 @ (equilibrium @ X0)))
% 43.74/7.07 | ~ (environment @ X0))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl5])).
% 43.74/7.07 thf(zip_derived_cl5049, plain,
% 43.74/7.07 ((((sk2 @ sk3) = (equilibrium @ sk3)) | (greater @ zero @ zero))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl5038])).
% 43.74/7.07 thf(zip_derived_cl41, plain,
% 43.74/7.07 ((~ (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ zero)
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl21])).
% 43.74/7.07 thf(zip_derived_cl5053, plain,
% 43.74/7.07 ((~ (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.07 zero)
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3)))))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl5049, zip_derived_cl41])).
% 43.74/7.07 thf(zip_derived_cl5115, plain,
% 43.74/7.07 ((~ (environment @ sk3)
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (sk4 @ (equilibrium @ sk3)))
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero))
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ zero)
% 43.74/7.07 | ~ (in_environment @ sk3 @ (equilibrium @ sk3))
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 43.74/7.07 | (greater @ zero @ zero))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl5053])).
% 43.74/7.07 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.07 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.07 thf(zip_derived_cl5124, plain,
% 43.74/7.07 ((~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (sk4 @ (equilibrium @ sk3)))
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero))
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ zero)
% 43.74/7.07 | ~ (in_environment @ sk3 @ (equilibrium @ sk3))
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 43.74/7.07 | (greater @ zero @ zero))),
% 43.74/7.07 inference('demod', [status(thm)], [zip_derived_cl5115, zip_derived_cl17])).
% 43.74/7.07 thf(zip_derived_cl19, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (sk4 @ X0))
% 43.74/7.07 | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.07 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.74/7.07 thf(zip_derived_cl5519, plain,
% 43.74/7.07 (( (greater @ zero @ zero)
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 43.74/7.07 | ~ (in_environment @ sk3 @ (equilibrium @ sk3))
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero)))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl5124, zip_derived_cl19])).
% 43.74/7.07 thf(zip_derived_cl5049, plain,
% 43.74/7.07 ((((sk2 @ sk3) = (equilibrium @ sk3)) | (greater @ zero @ zero))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl5038])).
% 43.74/7.07 thf(zip_derived_cl31, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 43.74/7.07 inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl17])).
% 43.74/7.07 thf(zip_derived_cl5051, plain,
% 43.74/7.07 (( (in_environment @ sk3 @ (equilibrium @ sk3))
% 43.74/7.07 | (greater @ zero @ zero))),
% 43.74/7.07 inference('sup+', [status(thm)], [zip_derived_cl5049, zip_derived_cl31])).
% 43.74/7.07 thf(zip_derived_cl5520, plain,
% 43.74/7.07 ((((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero))
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ zero)
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))))
% 43.74/7.07 | (greater @ zero @ zero))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl5519, zip_derived_cl5051])).
% 43.74/7.07 thf(zip_derived_cl5530, plain,
% 43.74/7.07 ((~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero)))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl5049, zip_derived_cl5520])).
% 43.74/7.07 thf(zip_derived_cl5531, plain,
% 43.74/7.07 ((((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero))
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ zero)
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl5530])).
% 43.74/7.07 thf(zip_derived_cl0, plain,
% 43.74/7.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.74/7.07 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 43.74/7.07 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 43.74/7.07 thf(zip_derived_cl5532, plain,
% 43.74/7.07 ((~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero)))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl5531, zip_derived_cl0])).
% 43.74/7.07 thf(zip_derived_cl7010, plain,
% 43.74/7.07 ((~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (sk4 @ (equilibrium @ sk3)))
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero))
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ zero))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6799, zip_derived_cl5532])).
% 43.74/7.07 thf(zip_derived_cl7428, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (sk4 @ (equilibrium @ sk3))))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl7415, zip_derived_cl7010])).
% 43.74/7.07 thf(zip_derived_cl244, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 ( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 43.74/7.07 | ((sk2 @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (sk2 @ sk3))) @ X0)
% 43.74/7.07 | ~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk2 @ sk3))) @
% 43.74/7.07 X0))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl243, zip_derived_cl0])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6750, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 ( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.07 X0)
% 43.74/7.07 | ~ (greater @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ X0))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl244, zip_derived_cl6712, zip_derived_cl6712,
% 43.74/7.07 zip_derived_cl6712, zip_derived_cl6712, zip_derived_cl6712,
% 43.74/7.07 zip_derived_cl6712])).
% 43.74/7.07 thf(zip_derived_cl6715, plain,
% 43.74/7.07 ((~ (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.07 zero)
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl41, zip_derived_cl6712, zip_derived_cl6712])).
% 43.74/7.07 thf(zip_derived_cl7899, plain,
% 43.74/7.07 ((~ (greater @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ zero)
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl6750, zip_derived_cl6715])).
% 43.74/7.07 thf(zip_derived_cl7415, plain,
% 43.74/7.07 ((((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl7400])).
% 43.74/7.07 thf(zip_derived_cl7904, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ~ (greater @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ zero))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl7899, zip_derived_cl7415])).
% 43.74/7.07 thf(zip_derived_cl8848, plain,
% 43.74/7.07 ((~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (sk4 @ (equilibrium @ sk3)))
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl7428, zip_derived_cl7904])).
% 43.74/7.07 thf(zip_derived_cl8849, plain,
% 43.74/7.07 ((~ (in_environment @ sk3 @ (equilibrium @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero)))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl8848])).
% 43.74/7.07 thf(zip_derived_cl6713, plain,
% 43.74/7.07 ( (in_environment @ sk3 @ (equilibrium @ sk3))),
% 43.74/7.07 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl6712])).
% 43.74/7.07 thf(zip_derived_cl8850, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero)))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl8849, zip_derived_cl6713])).
% 43.74/7.07 thf(zip_derived_cl7904, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ~ (greater @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ zero))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl7899, zip_derived_cl7415])).
% 43.74/7.07 thf(zip_derived_cl8863, plain,
% 43.74/7.07 ((~ (greater @ zero @ zero)
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl8850, zip_derived_cl7904])).
% 43.74/7.07 thf(zip_derived_cl8872, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ~ (greater @ zero @ zero))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl8863])).
% 43.74/7.07 thf(zip_derived_cl7415, plain,
% 43.74/7.07 ((((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl7400])).
% 43.74/7.07 thf(zip_derived_cl5532, plain,
% 43.74/7.07 ((~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero)))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl5531, zip_derived_cl0])).
% 43.74/7.07 thf(zip_derived_cl7426, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero))
% 43.74/7.07 | (greater @ zero @ zero))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl7415, zip_derived_cl5532])).
% 43.74/7.07 thf(zip_derived_cl7415, plain,
% 43.74/7.07 ((((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl7400])).
% 43.74/7.07 thf(zip_derived_cl7442, plain,
% 43.74/7.07 (( (greater @ zero @ zero)
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3)))),
% 43.74/7.07 inference('sup+', [status(thm)], [zip_derived_cl7426, zip_derived_cl7415])).
% 43.74/7.07 thf(zip_derived_cl7450, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | (greater @ zero @ zero))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl7442])).
% 43.74/7.07 thf(zip_derived_cl19, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (sk4 @ X0))
% 43.74/7.07 | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.07 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.74/7.07 thf(zip_derived_cl7451, plain,
% 43.74/7.07 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (equilibrium @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ~ (in_environment @ sk3 @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('sup+', [status(thm)], [zip_derived_cl7450, zip_derived_cl19])).
% 43.74/7.07 thf(zip_derived_cl6713, plain,
% 43.74/7.07 ( (in_environment @ sk3 @ (equilibrium @ sk3))),
% 43.74/7.07 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl6712])).
% 43.74/7.07 thf(zip_derived_cl7482, plain,
% 43.74/7.07 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (equilibrium @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl7451, zip_derived_cl6713])).
% 43.74/7.07 thf(zip_derived_cl85, plain,
% 43.74/7.07 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 43.74/7.07 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (sk2 @ sk3)))),
% 43.74/7.07 inference('demod', [status(thm)], [zip_derived_cl83, zip_derived_cl17])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6726, plain,
% 43.74/7.07 (( (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @ zero)
% 43.74/7.07 | (greater @ (growth_rate @ first_movers @ (equilibrium @ sk3)) @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (equilibrium @ sk3)))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl85, zip_derived_cl6712, zip_derived_cl6712,
% 43.74/7.07 zip_derived_cl6712, zip_derived_cl6712])).
% 43.74/7.07 thf(zip_derived_cl7535, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.07 | (greater @ (growth_rate @ first_movers @ (equilibrium @ sk3)) @ zero)
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @ zero))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl7482, zip_derived_cl6726])).
% 43.74/7.07 thf(zip_derived_cl7482, plain,
% 43.74/7.07 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (equilibrium @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl7451, zip_derived_cl6713])).
% 43.74/7.07 thf(zip_derived_cl64, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 43.74/7.07 | ((sk2 @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (sk2 @ sk3))
% 43.74/7.07 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 43.74/7.07 (growth_rate @ first_movers @ (sk2 @ sk3))))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl61, zip_derived_cl17, zip_derived_cl18])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6720, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (equilibrium @ sk3))
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @
% 43.74/7.07 (growth_rate @ first_movers @ (equilibrium @ sk3))))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl64, zip_derived_cl6712, zip_derived_cl6712,
% 43.74/7.07 zip_derived_cl6712, zip_derived_cl6712, zip_derived_cl6712])).
% 43.74/7.07 thf(zip_derived_cl7534, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @
% 43.74/7.07 (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl7482, zip_derived_cl6720])).
% 43.74/7.07 thf(zip_derived_cl7549, plain,
% 43.74/7.07 (( (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @
% 43.74/7.07 (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl7534])).
% 43.74/7.07 thf(zip_derived_cl0, plain,
% 43.74/7.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.74/7.07 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 43.74/7.07 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 43.74/7.07 thf(zip_derived_cl7553, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 ( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @ X0)
% 43.74/7.07 | ~ (greater @ (growth_rate @ first_movers @ (equilibrium @ sk3)) @
% 43.74/7.07 X0))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl7549, zip_derived_cl0])).
% 43.74/7.07 thf(zip_derived_cl8130, plain,
% 43.74/7.07 (( (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl7535, zip_derived_cl7553])).
% 43.74/7.07 thf(zip_derived_cl7482, plain,
% 43.74/7.07 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (equilibrium @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl7451, zip_derived_cl6713])).
% 43.74/7.07 thf(zip_derived_cl101, plain,
% 43.74/7.07 (( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.07 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk2 @ sk3)))
% 43.74/7.07 | ((growth_rate @ first_movers @ (sk2 @ sk3)) = (zero))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (sk2 @ sk3)))),
% 43.74/7.07 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl17])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6729, plain,
% 43.74/7.07 (( (greater @ zero @ (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)))
% 43.74/7.07 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (equilibrium @ sk3)))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl101, zip_derived_cl6712, zip_derived_cl6712,
% 43.74/7.07 zip_derived_cl6712, zip_derived_cl6712])).
% 43.74/7.07 thf(zip_derived_cl7538, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)))
% 43.74/7.07 | (greater @ zero @ (growth_rate @ first_movers @ (equilibrium @ sk3))))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl7482, zip_derived_cl6729])).
% 43.74/7.07 thf(zip_derived_cl7450, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | (greater @ zero @ zero))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl7442])).
% 43.74/7.07 thf(zip_derived_cl8130, plain,
% 43.74/7.07 (( (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl7535, zip_derived_cl7553])).
% 43.74/7.07 thf(zip_derived_cl7450, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | (greater @ zero @ zero))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl7442])).
% 43.74/7.07 thf(zip_derived_cl6715, plain,
% 43.74/7.07 ((~ (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.07 zero)
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl41, zip_derived_cl6712, zip_derived_cl6712])).
% 43.74/7.07 thf(zip_derived_cl7470, plain,
% 43.74/7.07 ((~ (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @ zero)
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl7450, zip_derived_cl6715])).
% 43.74/7.07 thf(zip_derived_cl8132, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl8130, zip_derived_cl7470])).
% 43.74/7.07 thf(zip_derived_cl8133, plain,
% 43.74/7.07 ((~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl8132])).
% 43.74/7.07 thf(zip_derived_cl8135, plain,
% 43.74/7.07 ((~ (greater @ zero @ (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero)))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl7450, zip_derived_cl8133])).
% 43.74/7.07 thf(zip_derived_cl8137, plain,
% 43.74/7.07 ((((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (equilibrium @ sk3))))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl8135])).
% 43.74/7.07 thf(zip_derived_cl8183, plain,
% 43.74/7.07 (( (greater @ zero @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)))
% 43.74/7.07 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl7538, zip_derived_cl8137])).
% 43.74/7.07 thf(zip_derived_cl0, plain,
% 43.74/7.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.74/7.07 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 43.74/7.07 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 43.74/7.07 thf(zip_derived_cl8184, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 ( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.07 | (greater @ zero @ X0)
% 43.74/7.07 | ~ (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @ X0))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl8183, zip_derived_cl0])).
% 43.74/7.07 thf(zip_derived_cl8206, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl8130, zip_derived_cl8184])).
% 43.74/7.07 thf(zip_derived_cl8215, plain,
% 43.74/7.07 ((((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl8206])).
% 43.74/7.07 thf(zip_derived_cl7482, plain,
% 43.74/7.07 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (equilibrium @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl7451, zip_derived_cl6713])).
% 43.74/7.07 thf(zip_derived_cl111, plain,
% 43.74/7.07 (( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ sk3)))
% 43.74/7.07 | (greater @ (growth_rate @ first_movers @ (sk2 @ sk3)) @ zero)
% 43.74/7.07 | ((growth_rate @ efficient_producers @ (sk2 @ sk3)) = (zero))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (sk2 @ sk3)))),
% 43.74/7.07 inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl17])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6712, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl6711, zip_derived_cl5049])).
% 43.74/7.07 thf(zip_derived_cl6731, plain,
% 43.74/7.07 (( (greater @ zero @ (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.07 | (greater @ (growth_rate @ first_movers @ (equilibrium @ sk3)) @ zero)
% 43.74/7.07 | ((growth_rate @ efficient_producers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (equilibrium @ sk3)))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl111, zip_derived_cl6712, zip_derived_cl6712,
% 43.74/7.07 zip_derived_cl6712, zip_derived_cl6712])).
% 43.74/7.07 thf(zip_derived_cl7540, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((growth_rate @ efficient_producers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.07 | (greater @ (growth_rate @ first_movers @ (equilibrium @ sk3)) @ zero)
% 43.74/7.07 | (greater @ zero @ (growth_rate @ first_movers @ (equilibrium @ sk3))))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl7482, zip_derived_cl6731])).
% 43.74/7.07 thf(zip_derived_cl7549, plain,
% 43.74/7.07 (( (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @
% 43.74/7.07 (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl7534])).
% 43.74/7.07 thf(zip_derived_cl7922, plain,
% 43.74/7.07 (( (greater @ zero @ (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.07 | (greater @ zero @ (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.07 | (greater @ (growth_rate @ first_movers @ (equilibrium @ sk3)) @ zero)
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero))),
% 43.74/7.07 inference('sup+', [status(thm)], [zip_derived_cl7540, zip_derived_cl7549])).
% 43.74/7.07 thf(zip_derived_cl7933, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | (greater @ (growth_rate @ first_movers @ (equilibrium @ sk3)) @ zero)
% 43.74/7.07 | (greater @ zero @ (growth_rate @ first_movers @ (equilibrium @ sk3))))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl7922])).
% 43.74/7.07 thf(zip_derived_cl8222, plain,
% 43.74/7.07 (( (greater @ zero @ zero)
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | (greater @ zero @ (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('sup+', [status(thm)], [zip_derived_cl8215, zip_derived_cl7933])).
% 43.74/7.07 thf(zip_derived_cl8229, plain,
% 43.74/7.07 (( (greater @ zero @ (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | (greater @ zero @ zero))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl8222])).
% 43.74/7.07 thf(zip_derived_cl7450, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | (greater @ zero @ zero))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl7442])).
% 43.74/7.07 thf(zip_derived_cl8215, plain,
% 43.74/7.07 ((((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl8206])).
% 43.74/7.07 thf(zip_derived_cl7549, plain,
% 43.74/7.07 (( (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @
% 43.74/7.07 (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl7534])).
% 43.74/7.07 thf(zip_derived_cl8219, plain,
% 43.74/7.07 (( (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @ zero)
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero))),
% 43.74/7.07 inference('sup+', [status(thm)], [zip_derived_cl8215, zip_derived_cl7549])).
% 43.74/7.07 thf(zip_derived_cl8226, plain,
% 43.74/7.07 (( (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @ zero))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl8219])).
% 43.74/7.07 thf(zip_derived_cl7470, plain,
% 43.74/7.07 ((~ (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @ zero)
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl7450, zip_derived_cl6715])).
% 43.74/7.07 thf(zip_derived_cl8240, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl8226, zip_derived_cl7470])).
% 43.74/7.07 thf(zip_derived_cl8241, plain,
% 43.74/7.07 ((~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl8240])).
% 43.74/7.07 thf(zip_derived_cl8243, plain,
% 43.74/7.07 ((~ (greater @ zero @ (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl7450, zip_derived_cl8241])).
% 43.74/7.07 thf(zip_derived_cl8245, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ zero @ zero)
% 43.74/7.07 | ~ (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (equilibrium @ sk3))))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl8243])).
% 43.74/7.07 thf(zip_derived_cl8248, plain,
% 43.74/7.07 (( (greater @ zero @ zero)
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl8229, zip_derived_cl8245])).
% 43.74/7.07 thf(zip_derived_cl8875, plain,
% 43.74/7.07 ((((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('clc', [status(thm)], [zip_derived_cl8872, zip_derived_cl8248])).
% 43.74/7.07 thf(zip_derived_cl19, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (sk4 @ X0))
% 43.74/7.07 | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.07 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.74/7.07 thf(zip_derived_cl8876, plain,
% 43.74/7.07 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (equilibrium @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ~ (in_environment @ sk3 @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('sup+', [status(thm)], [zip_derived_cl8875, zip_derived_cl19])).
% 43.74/7.07 thf(zip_derived_cl6713, plain,
% 43.74/7.07 ( (in_environment @ sk3 @ (equilibrium @ sk3))),
% 43.74/7.07 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl6712])).
% 43.74/7.07 thf(zip_derived_cl8910, plain,
% 43.74/7.07 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (equilibrium @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl8876, zip_derived_cl6713])).
% 43.74/7.07 thf(zip_derived_cl6720, plain,
% 43.74/7.07 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (equilibrium @ sk3))
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @
% 43.74/7.07 (growth_rate @ first_movers @ (equilibrium @ sk3))))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl64, zip_derived_cl6712, zip_derived_cl6712,
% 43.74/7.07 zip_derived_cl6712, zip_derived_cl6712, zip_derived_cl6712])).
% 43.74/7.07 thf(zip_derived_cl8933, plain,
% 43.74/7.07 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @
% 43.74/7.07 (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl8910, zip_derived_cl6720])).
% 43.74/7.07 thf(zip_derived_cl8948, plain,
% 43.74/7.07 (( (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @
% 43.74/7.07 (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.07 inference('simplify', [status(thm)], [zip_derived_cl8933])).
% 43.74/7.07 thf(zip_derived_cl8910, plain,
% 43.74/7.07 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.07 (equilibrium @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.07 inference('demod', [status(thm)],
% 43.74/7.07 [zip_derived_cl8876, zip_derived_cl6713])).
% 43.74/7.07 thf(zip_derived_cl22, plain, (![X0 : $i]: (greater_or_equal @ X0 @ X0)),
% 43.74/7.07 inference('eq_res', [status(thm)], [zip_derived_cl4])).
% 43.74/7.07 thf(zip_derived_cl8, plain,
% 43.74/7.07 (![X0 : $i, X1 : $i]:
% 43.74/7.07 (~ (environment @ X0)
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 43.74/7.07 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 43.74/7.07 | ((growth_rate @ first_movers @ X1) = (zero))
% 43.74/7.07 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 43.74/7.07 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 43.74/7.07 inference('cnf', [status(esa)], [l6_27])).
% 43.74/7.07 thf(zip_derived_cl98, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 ( (greater @ zero @ (growth_rate @ first_movers @ (equilibrium @ X0)))
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ X0)))
% 43.74/7.07 | ((growth_rate @ first_movers @ (equilibrium @ X0)) = (zero))
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.07 (equilibrium @ X0))
% 43.74/7.07 | ~ (environment @ X0))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl8])).
% 43.74/7.07 thf(zip_derived_cl0, plain,
% 43.74/7.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.74/7.07 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 43.74/7.07 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 43.74/7.07 thf(zip_derived_cl158, plain,
% 43.74/7.07 (![X0 : $i, X1 : $i]:
% 43.74/7.07 (~ (environment @ X0)
% 43.74/7.07 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.07 (equilibrium @ X0))
% 43.74/7.07 | ((growth_rate @ first_movers @ (equilibrium @ X0)) = (zero))
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (equilibrium @ X0)))
% 43.74/7.07 | (greater @ zero @ X1)
% 43.74/7.07 | ~ (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ X0)) @ X1))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl98, zip_derived_cl0])).
% 43.74/7.07 thf(zip_derived_cl8931, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 (((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.07 | ~ (greater @
% 43.74/7.07 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @ X0)
% 43.74/7.07 | (greater @ zero @ X0)
% 43.74/7.07 | (greater @ zero @
% 43.74/7.07 (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.07 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.07 | ~ (environment @ sk3))),
% 43.74/7.07 inference('sup-', [status(thm)], [zip_derived_cl8910, zip_derived_cl158])).
% 43.74/7.07 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.07 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.07 thf(zip_derived_cl8946, plain,
% 43.74/7.07 (![X0 : $i]:
% 43.74/7.07 (((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.07 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ~ (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @ X0)
% 43.74/7.08 | (greater @ zero @ X0)
% 43.74/7.08 | (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.08 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero)))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl8931, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl8875, plain,
% 43.74/7.08 ((((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl8872, zip_derived_cl8248])).
% 43.74/7.08 thf(zip_derived_cl22, plain, (![X0 : $i]: (greater_or_equal @ X0 @ X0)),
% 43.74/7.08 inference('eq_res', [status(thm)], [zip_derived_cl4])).
% 43.74/7.08 thf(zip_derived_cl5, plain,
% 43.74/7.08 (![X0 : $i, X1 : $i]:
% 43.74/7.08 (~ (environment @ X0)
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 43.74/7.08 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 43.74/7.08 | ((growth_rate @ first_movers @ X1) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 43.74/7.08 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero))),
% 43.74/7.08 inference('cnf', [status(esa)], [l6_24])).
% 43.74/7.08 thf(zip_derived_cl82, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 ( (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (equilibrium @ X0)) @ zero)
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (equilibrium @ X0)) @
% 43.74/7.08 zero)
% 43.74/7.08 | ((growth_rate @ first_movers @ (equilibrium @ X0)) = (zero))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.08 (equilibrium @ X0))
% 43.74/7.08 | ~ (environment @ X0))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl5])).
% 43.74/7.08 thf(zip_derived_cl8875, plain,
% 43.74/7.08 ((((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl8872, zip_derived_cl8248])).
% 43.74/7.08 thf(zip_derived_cl6715, plain,
% 43.74/7.08 ((~ (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.08 zero)
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.08 inference('demod', [status(thm)],
% 43.74/7.08 [zip_derived_cl41, zip_derived_cl6712, zip_derived_cl6712])).
% 43.74/7.08 thf(zip_derived_cl8895, plain,
% 43.74/7.08 ((~ (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @ zero)
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl8875, zip_derived_cl6715])).
% 43.74/7.08 thf(zip_derived_cl8956, plain,
% 43.74/7.08 ((~ (environment @ sk3)
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (equilibrium @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (equilibrium @ sk3)) @ zero)
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl8895])).
% 43.74/7.08 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.08 thf(zip_derived_cl8958, plain,
% 43.74/7.08 ((~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (equilibrium @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (equilibrium @ sk3)) @ zero)
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl8956, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl8910, plain,
% 43.74/7.08 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (equilibrium @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('demod', [status(thm)],
% 43.74/7.08 [zip_derived_cl8876, zip_derived_cl6713])).
% 43.74/7.08 thf(zip_derived_cl8985, plain,
% 43.74/7.08 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (equilibrium @ sk3)) @ zero)
% 43.74/7.08 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl8958, zip_derived_cl8910])).
% 43.74/7.08 thf(zip_derived_cl8948, plain,
% 43.74/7.08 (( (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @
% 43.74/7.08 (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('simplify', [status(thm)], [zip_derived_cl8933])).
% 43.74/7.08 thf(zip_derived_cl0, plain,
% 43.74/7.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.74/7.08 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 43.74/7.08 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 43.74/7.08 thf(zip_derived_cl8953, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 (((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @ X0)
% 43.74/7.08 | ~ (greater @ (growth_rate @ first_movers @ (equilibrium @ sk3)) @
% 43.74/7.08 X0))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl8948, zip_derived_cl0])).
% 43.74/7.08 thf(zip_derived_cl8895, plain,
% 43.74/7.08 ((~ (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @ zero)
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl8875, zip_derived_cl6715])).
% 43.74/7.08 thf(zip_derived_cl8974, plain,
% 43.74/7.08 ((~ (greater @ (growth_rate @ first_movers @ (equilibrium @ sk3)) @ zero)
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl8953, zip_derived_cl8895])).
% 43.74/7.08 thf(zip_derived_cl8975, plain,
% 43.74/7.08 ((~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ~ (greater @ (growth_rate @ first_movers @ (equilibrium @ sk3)) @
% 43.74/7.08 zero))),
% 43.74/7.08 inference('simplify', [status(thm)], [zip_derived_cl8974])).
% 43.74/7.08 thf(zip_derived_cl8986, plain,
% 43.74/7.08 ((((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl8985, zip_derived_cl8975])).
% 43.74/7.08 thf(zip_derived_cl8987, plain,
% 43.74/7.08 ((~ (greater @ zero @ (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero)))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl8875, zip_derived_cl8986])).
% 43.74/7.08 thf(zip_derived_cl8988, plain,
% 43.74/7.08 ((((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (equilibrium @ sk3))))),
% 43.74/7.08 inference('simplify', [status(thm)], [zip_derived_cl8987])).
% 43.74/7.08 thf(zip_derived_cl9061, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 (((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.08 | (greater @ zero @ X0)
% 43.74/7.08 | ~ (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (equilibrium @ sk3)) @ X0)
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl8946, zip_derived_cl8988])).
% 43.74/7.08 thf(zip_derived_cl9064, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | (greater @ zero @ (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.08 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero)))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl8948, zip_derived_cl9061])).
% 43.74/7.08 thf(zip_derived_cl9070, plain,
% 43.74/7.08 ((((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.08 | (greater @ zero @ (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('simplify', [status(thm)], [zip_derived_cl9064])).
% 43.74/7.08 thf(zip_derived_cl8988, plain,
% 43.74/7.08 ((((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (equilibrium @ sk3))))),
% 43.74/7.08 inference('simplify', [status(thm)], [zip_derived_cl8987])).
% 43.74/7.08 thf(zip_derived_cl9092, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl9070, zip_derived_cl8988])).
% 43.74/7.08 thf(zip_derived_cl8875, plain,
% 43.74/7.08 ((((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl8872, zip_derived_cl8248])).
% 43.74/7.08 thf(zip_derived_cl9092, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (equilibrium @ sk3)) = (zero)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl9070, zip_derived_cl8988])).
% 43.74/7.08 thf(zip_derived_cl8975, plain,
% 43.74/7.08 ((~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ~ (greater @ (growth_rate @ first_movers @ (equilibrium @ sk3)) @
% 43.74/7.08 zero))),
% 43.74/7.08 inference('simplify', [status(thm)], [zip_derived_cl8974])).
% 43.74/7.08 thf(zip_derived_cl9095, plain,
% 43.74/7.08 ((~ (greater @ zero @ zero)
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9092, zip_derived_cl8975])).
% 43.74/7.08 thf(zip_derived_cl9100, plain,
% 43.74/7.08 ((~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ~ (greater @ zero @ zero))),
% 43.74/7.08 inference('simplify', [status(thm)], [zip_derived_cl9095])).
% 43.74/7.08 thf(zip_derived_cl8248, plain,
% 43.74/7.08 (( (greater @ zero @ zero)
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl8229, zip_derived_cl8245])).
% 43.74/7.08 thf(zip_derived_cl9103, plain,
% 43.74/7.08 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl9100, zip_derived_cl8248])).
% 43.74/7.08 thf(zip_derived_cl9104, plain,
% 43.74/7.08 ((~ (greater @ zero @ (growth_rate @ first_movers @ (equilibrium @ sk3)))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl8875, zip_derived_cl9103])).
% 43.74/7.08 thf(zip_derived_cl9105, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (equilibrium @ sk3))))),
% 43.74/7.08 inference('simplify', [status(thm)], [zip_derived_cl9104])).
% 43.74/7.08 thf(zip_derived_cl9106, plain,
% 43.74/7.08 ((~ (greater @ zero @ zero)
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9092, zip_derived_cl9105])).
% 43.74/7.08 thf(zip_derived_cl9107, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ~ (greater @ zero @ zero))),
% 43.74/7.08 inference('simplify', [status(thm)], [zip_derived_cl9106])).
% 43.74/7.08 thf(zip_derived_cl8248, plain,
% 43.74/7.08 (( (greater @ zero @ zero)
% 43.74/7.08 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl8229, zip_derived_cl8245])).
% 43.74/7.08 thf(zip_derived_cl9108, plain,
% 43.74/7.08 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl9107, zip_derived_cl8248])).
% 43.74/7.08 thf(zip_derived_cl234, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 ( (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.08 | (greater @ zero @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ~ (environment @ X0)
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ~ (greater @ (sk1 @ sk3) @ (equilibrium @ X0)))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl150])).
% 43.74/7.08 thf(zip_derived_cl9122, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ~ (environment @ sk3)
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | (greater @ zero @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.08 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9108, zip_derived_cl234])).
% 43.74/7.08 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.08 thf(zip_derived_cl9138, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | (greater @ zero @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.08 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9122, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl19, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ X0))
% 43.74/7.08 | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.74/7.08 thf(zip_derived_cl9108, plain,
% 43.74/7.08 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl9107, zip_derived_cl8248])).
% 43.74/7.08 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl134, plain,
% 43.74/7.08 (![X0 : $i, X1 : $i]:
% 43.74/7.08 (~ (greater @ X1 @ (equilibrium @ X0))
% 43.74/7.08 | ~ (in_environment @ sk3 @ X1)
% 43.74/7.08 | ((sk4 @ X1) = (X1))
% 43.74/7.08 | ~ (environment @ X0)
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.08 (sk4 @ X1))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ X1)) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ X1)) @ zero)
% 43.74/7.08 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X1))))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl87])).
% 43.74/7.08 thf(zip_derived_cl230, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 ( (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @
% 43.74/7.08 zero)
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ~ (environment @ X0)
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ~ (greater @ (sk1 @ sk3) @ (equilibrium @ X0)))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl134])).
% 43.74/7.08 thf(zip_derived_cl9120, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ~ (environment @ sk3)
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9108, zip_derived_cl230])).
% 43.74/7.08 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.08 thf(zip_derived_cl9136, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9120, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl19, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ X0))
% 43.74/7.08 | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.74/7.08 thf(zip_derived_cl9108, plain,
% 43.74/7.08 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl9107, zip_derived_cl8248])).
% 43.74/7.08 thf(zip_derived_cl228, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 ( (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @
% 43.74/7.08 zero)
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ~ (environment @ X0)
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ~ (greater @ (sk1 @ sk3) @ (equilibrium @ X0)))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl126])).
% 43.74/7.08 thf(zip_derived_cl9119, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ~ (environment @ sk3)
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9108, zip_derived_cl228])).
% 43.74/7.08 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.08 thf(zip_derived_cl9135, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9119, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl9565, plain,
% 43.74/7.08 ((~ (in_environment @ sk3 @ (sk1 @ sk3))
% 43.74/7.08 | (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl9135])).
% 43.74/7.08 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl9566, plain,
% 43.74/7.08 (( (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9565, zip_derived_cl27])).
% 43.74/7.08 thf(zip_derived_cl40, plain,
% 43.74/7.08 ((~ (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl21])).
% 43.74/7.08 thf(zip_derived_cl9568, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9566, zip_derived_cl40])).
% 43.74/7.08 thf(zip_derived_cl9599, plain,
% 43.74/7.08 (( (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl9136, zip_derived_cl9568])).
% 43.74/7.08 thf(zip_derived_cl9600, plain,
% 43.74/7.08 ((~ (in_environment @ sk3 @ (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl9599])).
% 43.74/7.08 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl9601, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9600, zip_derived_cl27])).
% 43.74/7.08 thf(zip_derived_cl206, plain,
% 43.74/7.08 ((~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.08 inference('demod', [status(thm)],
% 43.74/7.08 [zip_derived_cl205, zip_derived_cl27, zip_derived_cl18,
% 43.74/7.08 zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl9604, plain,
% 43.74/7.08 ((((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3))))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9601, zip_derived_cl206])).
% 43.74/7.08 thf(zip_derived_cl9640, plain,
% 43.74/7.08 (( (greater @ zero @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl9138, zip_derived_cl9604])).
% 43.74/7.08 thf(zip_derived_cl9641, plain,
% 43.74/7.08 ((~ (in_environment @ sk3 @ (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | (greater @ zero @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl9640])).
% 43.74/7.08 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl9642, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | (greater @ zero @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9641, zip_derived_cl27])).
% 43.74/7.08 thf(zip_derived_cl0, plain,
% 43.74/7.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.74/7.08 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 43.74/7.08 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 43.74/7.08 thf(zip_derived_cl9643, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 (((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ zero @ X0)
% 43.74/7.08 | ~ (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ X0))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9642, zip_derived_cl0])).
% 43.74/7.08 thf(zip_derived_cl9658, plain,
% 43.74/7.08 ((~ (environment @ sk3)
% 43.74/7.08 | ~ (stable @ sk3)
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ~ (in_environment @ sk3 @ (sk1 @ sk3))
% 43.74/7.08 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl9643])).
% 43.74/7.08 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.08 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_2])).
% 43.74/7.08 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl9661, plain,
% 43.74/7.08 ((~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 43.74/7.08 inference('demod', [status(thm)],
% 43.74/7.08 [zip_derived_cl9658, zip_derived_cl17, zip_derived_cl18,
% 43.74/7.08 zip_derived_cl27])).
% 43.74/7.08 thf(zip_derived_cl9604, plain,
% 43.74/7.08 ((((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3))))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9601, zip_derived_cl206])).
% 43.74/7.08 thf(zip_derived_cl9723, plain,
% 43.74/7.08 ((((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3))))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl9661, zip_derived_cl9604])).
% 43.74/7.08 thf(zip_derived_cl9724, plain,
% 43.74/7.08 ((~ (in_environment @ sk3 @ (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl9723])).
% 43.74/7.08 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl9725, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9724, zip_derived_cl27])).
% 43.74/7.08 thf(zip_derived_cl19, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ X0))
% 43.74/7.08 | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.74/7.08 thf(zip_derived_cl9108, plain,
% 43.74/7.08 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl9107, zip_derived_cl8248])).
% 43.74/7.08 thf(zip_derived_cl238, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 ( (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @
% 43.74/7.08 zero)
% 43.74/7.08 | ((growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ~ (environment @ X0)
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ~ (greater @ (sk1 @ sk3) @ (equilibrium @ X0)))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl175])).
% 43.74/7.08 thf(zip_derived_cl9124, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ~ (environment @ sk3)
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ((growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9108, zip_derived_cl238])).
% 43.74/7.08 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.08 thf(zip_derived_cl9140, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ((growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9124, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl19, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ X0))
% 43.74/7.08 | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.74/7.08 thf(zip_derived_cl9725, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9724, zip_derived_cl27])).
% 43.74/7.08 thf(zip_derived_cl59, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 (~ (in_environment @ sk3 @ (sk1 @ X0))
% 43.74/7.08 | (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ X0))) @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (sk1 @ X0))))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.08 (sk4 @ (sk1 @ X0)))
% 43.74/7.08 | ~ (stable @ X0)
% 43.74/7.08 | ~ (environment @ X0))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl14])).
% 43.74/7.08 thf(zip_derived_cl9730, plain,
% 43.74/7.08 (( (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ~ (environment @ sk3)
% 43.74/7.08 | ~ (stable @ sk3)
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ~ (in_environment @ sk3 @ (sk1 @ sk3)))),
% 43.74/7.08 inference('sup+', [status(thm)], [zip_derived_cl9725, zip_derived_cl59])).
% 43.74/7.08 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.08 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_2])).
% 43.74/7.08 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl9732, plain,
% 43.74/7.08 (( (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3))))),
% 43.74/7.08 inference('demod', [status(thm)],
% 43.74/7.08 [zip_derived_cl9730, zip_derived_cl17, zip_derived_cl18,
% 43.74/7.08 zip_derived_cl27])).
% 43.74/7.08 thf(zip_derived_cl9733, plain,
% 43.74/7.08 ((~ (in_environment @ sk3 @ (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl9732])).
% 43.74/7.08 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl9734, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9733, zip_derived_cl27])).
% 43.74/7.08 thf(zip_derived_cl0, plain,
% 43.74/7.08 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.74/7.08 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 43.74/7.08 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 43.74/7.08 thf(zip_derived_cl9735, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 (((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ X0)
% 43.74/7.08 | ~ (greater @ zero @ X0))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9734, zip_derived_cl0])).
% 43.74/7.08 thf(zip_derived_cl40, plain,
% 43.74/7.08 ((~ (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl21])).
% 43.74/7.08 thf(zip_derived_cl9747, plain,
% 43.74/7.08 ((~ (greater @ zero @ zero)
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9735, zip_derived_cl40])).
% 43.74/7.08 thf(zip_derived_cl19, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ X0))
% 43.74/7.08 | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.74/7.08 thf(zip_derived_cl9601, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9600, zip_derived_cl27])).
% 43.74/7.08 thf(zip_derived_cl19, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ X0))
% 43.74/7.08 | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.74/7.08 thf(zip_derived_cl80, plain,
% 43.74/7.08 (![X0 : $i, X1 : $i]:
% 43.74/7.08 (~ (environment @ X0)
% 43.74/7.08 | ~ (stable @ X0)
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.08 (sk4 @ (sk1 @ X0)))
% 43.74/7.08 | ~ (in_environment @ sk3 @ (sk1 @ X0))
% 43.74/7.08 | (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ X0))) @ X1)
% 43.74/7.08 | ~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ X0))) @ X1))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 43.74/7.08 thf(zip_derived_cl9643, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 (((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ zero @ X0)
% 43.74/7.08 | ~ (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ X0))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9642, zip_derived_cl0])).
% 43.74/7.08 thf(zip_derived_cl9656, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 (~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ X0)
% 43.74/7.08 | ~ (in_environment @ sk3 @ (sk1 @ sk3))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ~ (stable @ sk3)
% 43.74/7.08 | ~ (environment @ sk3)
% 43.74/7.08 | (greater @ zero @ X0)
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl9643])).
% 43.74/7.08 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_2])).
% 43.74/7.08 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.08 thf(zip_derived_cl9659, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 (~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ X0)
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | (greater @ zero @ X0)
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 43.74/7.08 inference('demod', [status(thm)],
% 43.74/7.08 [zip_derived_cl9656, zip_derived_cl27, zip_derived_cl18,
% 43.74/7.08 zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl9662, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 (~ (in_environment @ sk3 @ (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ zero @ X0)
% 43.74/7.08 | ~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @
% 43.74/7.08 X0))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl9659])).
% 43.74/7.08 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl9663, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 (((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ zero @ X0)
% 43.74/7.08 | ~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @
% 43.74/7.08 X0))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9662, zip_derived_cl27])).
% 43.74/7.08 thf(zip_derived_cl9665, plain,
% 43.74/7.08 ((((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ zero @ zero)
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9601, zip_derived_cl9663])).
% 43.74/7.08 thf(zip_derived_cl9667, plain,
% 43.74/7.08 (( (greater @ zero @ zero)
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 43.74/7.08 inference('simplify', [status(thm)], [zip_derived_cl9665])).
% 43.74/7.08 thf(zip_derived_cl59, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 (~ (in_environment @ sk3 @ (sk1 @ X0))
% 43.74/7.08 | (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ X0))) @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (sk1 @ X0))))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.08 (sk4 @ (sk1 @ X0)))
% 43.74/7.08 | ~ (stable @ X0)
% 43.74/7.08 | ~ (environment @ X0))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl14])).
% 43.74/7.08 thf(zip_derived_cl9675, plain,
% 43.74/7.08 (( (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ zero @ zero)
% 43.74/7.08 | ~ (environment @ sk3)
% 43.74/7.08 | ~ (stable @ sk3)
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ~ (in_environment @ sk3 @ (sk1 @ sk3)))),
% 43.74/7.08 inference('sup+', [status(thm)], [zip_derived_cl9667, zip_derived_cl59])).
% 43.74/7.08 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.08 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_2])).
% 43.74/7.08 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl9680, plain,
% 43.74/7.08 (( (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ zero @ zero)
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3))))),
% 43.74/7.08 inference('demod', [status(thm)],
% 43.74/7.08 [zip_derived_cl9675, zip_derived_cl17, zip_derived_cl18,
% 43.74/7.08 zip_derived_cl27])).
% 43.74/7.08 thf(zip_derived_cl9691, plain,
% 43.74/7.08 ((~ (in_environment @ sk3 @ (sk1 @ sk3))
% 43.74/7.08 | (greater @ zero @ zero)
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl9680])).
% 43.74/7.08 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl9692, plain,
% 43.74/7.08 (( (greater @ zero @ zero)
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9691, zip_derived_cl27])).
% 43.74/7.08 thf(zip_derived_cl40, plain,
% 43.74/7.08 ((~ (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl21])).
% 43.74/7.08 thf(zip_derived_cl9702, plain,
% 43.74/7.08 ((((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ zero @ zero)
% 43.74/7.08 | ~ (greater @ zero @
% 43.74/7.08 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9692, zip_derived_cl40])).
% 43.74/7.08 thf(zip_derived_cl9748, plain,
% 43.74/7.08 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl9747, zip_derived_cl9702])).
% 43.74/7.08 thf(zip_derived_cl9849, plain,
% 43.74/7.08 (( (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | ((growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ (sk1 @ sk3)))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl9140, zip_derived_cl9748])).
% 43.74/7.08 thf(zip_derived_cl9850, plain,
% 43.74/7.08 ((~ (in_environment @ sk3 @ (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl9849])).
% 43.74/7.08 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl9851, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9850, zip_derived_cl27])).
% 43.74/7.08 thf(zip_derived_cl9734, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | (greater @
% 43.74/7.08 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9733, zip_derived_cl27])).
% 43.74/7.08 thf(zip_derived_cl9853, plain,
% 43.74/7.08 (( (greater @ zero @ zero)
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('sup+', [status(thm)], [zip_derived_cl9851, zip_derived_cl9734])).
% 43.74/7.08 thf(zip_derived_cl9859, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | (greater @ zero @ zero))),
% 43.74/7.08 inference('simplify', [status(thm)], [zip_derived_cl9853])).
% 43.74/7.08 thf(zip_derived_cl9725, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) = (zero)))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9724, zip_derived_cl27])).
% 43.74/7.08 thf(zip_derived_cl9748, plain,
% 43.74/7.08 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl9747, zip_derived_cl9702])).
% 43.74/7.08 thf(zip_derived_cl9749, plain,
% 43.74/7.08 ((~ (greater @ zero @ zero)
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3)))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9725, zip_derived_cl9748])).
% 43.74/7.08 thf(zip_derived_cl9750, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ~ (greater @ zero @ zero))),
% 43.74/7.08 inference('simplify', [status(thm)], [zip_derived_cl9749])).
% 43.74/7.08 thf(zip_derived_cl9872, plain,
% 43.74/7.08 (( (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl9859, zip_derived_cl9750])).
% 43.74/7.08 thf(zip_derived_cl9876, plain,
% 43.74/7.08 (( (greater @ zero @ zero)
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3)))),
% 43.74/7.08 inference('sup+', [status(thm)], [zip_derived_cl9725, zip_derived_cl9872])).
% 43.74/7.08 thf(zip_derived_cl9877, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ zero @ zero))),
% 43.74/7.08 inference('simplify', [status(thm)], [zip_derived_cl9876])).
% 43.74/7.08 thf(zip_derived_cl9750, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ~ (greater @ zero @ zero))),
% 43.74/7.08 inference('simplify', [status(thm)], [zip_derived_cl9749])).
% 43.74/7.08 thf(zip_derived_cl9879, plain,
% 43.74/7.08 ((((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl9877, zip_derived_cl9750])).
% 43.74/7.08 thf(zip_derived_cl19, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk4 @ X0))
% 43.74/7.08 | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.74/7.08 thf(zip_derived_cl9880, plain,
% 43.74/7.08 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ~ (in_environment @ sk3 @ (sk1 @ sk3)))),
% 43.74/7.08 inference('sup+', [status(thm)], [zip_derived_cl9879, zip_derived_cl19])).
% 43.74/7.08 thf(zip_derived_cl27, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl9891, plain,
% 43.74/7.08 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9880, zip_derived_cl27])).
% 43.74/7.08 thf(zip_derived_cl58, plain,
% 43.74/7.08 (![X0 : $i]:
% 43.74/7.08 ( (greater @ (growth_rate @ efficient_producers @ (sk1 @ X0)) @
% 43.74/7.08 (growth_rate @ first_movers @ (sk1 @ X0)))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.08 (sk1 @ X0))
% 43.74/7.08 | ~ (stable @ X0)
% 43.74/7.08 | ~ (environment @ X0))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl14])).
% 43.74/7.08 thf(zip_derived_cl9899, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ~ (environment @ sk3)
% 43.74/7.08 | ~ (stable @ sk3)
% 43.74/7.08 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @
% 43.74/7.08 (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9891, zip_derived_cl58])).
% 43.74/7.08 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.08 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_2])).
% 43.74/7.08 thf(zip_derived_cl9908, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @
% 43.74/7.08 (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 43.74/7.08 inference('demod', [status(thm)],
% 43.74/7.08 [zip_derived_cl9899, zip_derived_cl17, zip_derived_cl18])).
% 43.74/7.08 thf(zip_derived_cl9891, plain,
% 43.74/7.08 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9880, zip_derived_cl27])).
% 43.74/7.08 thf(zip_derived_cl9108, plain,
% 43.74/7.08 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl9107, zip_derived_cl8248])).
% 43.74/7.08 thf(zip_derived_cl97, plain,
% 43.74/7.08 (![X0 : $i, X1 : $i]:
% 43.74/7.08 (~ (greater @ X1 @ (equilibrium @ X0))
% 43.74/7.08 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 43.74/7.08 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 43.74/7.08 | ((growth_rate @ first_movers @ X1) = (zero))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 43.74/7.08 | ~ (environment @ X0))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl8])).
% 43.74/7.08 thf(zip_derived_cl9113, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ~ (environment @ sk3)
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 43.74/7.08 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk1 @ sk3)))
% 43.74/7.08 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9108, zip_derived_cl97])).
% 43.74/7.08 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.08 thf(zip_derived_cl9130, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 43.74/7.08 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk1 @ sk3)))
% 43.74/7.08 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9113, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl9903, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 43.74/7.08 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk1 @ sk3)))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9891, zip_derived_cl9130])).
% 43.74/7.08 thf(zip_derived_cl9912, plain,
% 43.74/7.08 ((((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 43.74/7.08 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk1 @ sk3)))
% 43.74/7.08 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('simplify', [status(thm)], [zip_derived_cl9903])).
% 43.74/7.08 thf(zip_derived_cl9879, plain,
% 43.74/7.08 ((((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl9877, zip_derived_cl9750])).
% 43.74/7.08 thf(zip_derived_cl9891, plain,
% 43.74/7.08 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk1 @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9880, zip_derived_cl27])).
% 43.74/7.08 thf(zip_derived_cl9108, plain,
% 43.74/7.08 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('clc', [status(thm)], [zip_derived_cl9107, zip_derived_cl8248])).
% 43.74/7.08 thf(zip_derived_cl81, plain,
% 43.74/7.08 (![X0 : $i, X1 : $i]:
% 43.74/7.08 (~ (greater @ X1 @ (equilibrium @ X0))
% 43.74/7.08 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero)
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 43.74/7.08 | ((growth_rate @ first_movers @ X1) = (zero))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 43.74/7.08 | ~ (environment @ X0))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl5])).
% 43.74/7.08 thf(zip_derived_cl9110, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ~ (environment @ sk3)
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.08 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9108, zip_derived_cl81])).
% 43.74/7.08 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.08 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.08 thf(zip_derived_cl9127, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.08 (sk1 @ sk3))
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.08 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero))),
% 43.74/7.08 inference('demod', [status(thm)], [zip_derived_cl9110, zip_derived_cl17])).
% 43.74/7.08 thf(zip_derived_cl9900, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.08 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.08 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('sup-', [status(thm)], [zip_derived_cl9891, zip_derived_cl9127])).
% 43.74/7.08 thf(zip_derived_cl9909, plain,
% 43.74/7.08 ((((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 43.74/7.08 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.08 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 43.74/7.08 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.08 inference('simplify', [status(thm)], [zip_derived_cl9900])).
% 43.74/7.08 thf(zip_derived_cl9908, plain,
% 43.74/7.08 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @
% 43.74/7.09 (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl9899, zip_derived_cl17, zip_derived_cl18])).
% 43.74/7.09 thf(zip_derived_cl0, plain,
% 43.74/7.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.74/7.09 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 43.74/7.09 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 43.74/7.09 thf(zip_derived_cl9918, plain,
% 43.74/7.09 (![X0 : $i]:
% 43.74/7.09 (((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ X0)
% 43.74/7.09 | ~ (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ X0))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl9908, zip_derived_cl0])).
% 43.74/7.09 thf(zip_derived_cl9947, plain,
% 43.74/7.09 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero)))),
% 43.74/7.09 inference('clc', [status(thm)], [zip_derived_cl9909, zip_derived_cl9918])).
% 43.74/7.09 thf(zip_derived_cl9879, plain,
% 43.74/7.09 ((((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('clc', [status(thm)], [zip_derived_cl9877, zip_derived_cl9750])).
% 43.74/7.09 thf(zip_derived_cl40, plain,
% 43.74/7.09 ((~ (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @ zero)
% 43.74/7.09 | ~ (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl21])).
% 43.74/7.09 thf(zip_derived_cl9887, plain,
% 43.74/7.09 ((~ (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ~ (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl9879, zip_derived_cl40])).
% 43.74/7.09 thf(zip_derived_cl9949, plain,
% 43.74/7.09 ((((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ~ (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl9947, zip_derived_cl9887])).
% 43.74/7.09 thf(zip_derived_cl9950, plain,
% 43.74/7.09 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero)))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl9949])).
% 43.74/7.09 thf(zip_derived_cl9953, plain,
% 43.74/7.09 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl9879, zip_derived_cl9950])).
% 43.74/7.09 thf(zip_derived_cl9954, plain,
% 43.74/7.09 ((((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl9953])).
% 43.74/7.09 thf(zip_derived_cl10002, plain,
% 43.74/7.09 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ zero @ (growth_rate @ efficient_producers @ (sk1 @ sk3)))
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero)))),
% 43.74/7.09 inference('clc', [status(thm)], [zip_derived_cl9912, zip_derived_cl9954])).
% 43.74/7.09 thf(zip_derived_cl0, plain,
% 43.74/7.09 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.74/7.09 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 43.74/7.09 inference('cnf', [status(esa)], [mp_greater_transitivity_19])).
% 43.74/7.09 thf(zip_derived_cl10003, plain,
% 43.74/7.09 (![X0 : $i]:
% 43.74/7.09 (((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ zero @ X0)
% 43.74/7.09 | ~ (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ X0))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl10002, zip_derived_cl0])).
% 43.74/7.09 thf(zip_derived_cl10043, plain,
% 43.74/7.09 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero)))),
% 43.74/7.09 inference('sup-', [status(thm)],
% 43.74/7.09 [zip_derived_cl9908, zip_derived_cl10003])).
% 43.74/7.09 thf(zip_derived_cl10050, plain,
% 43.74/7.09 ((((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 43.74/7.09 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl10043])).
% 43.74/7.09 thf(zip_derived_cl9954, plain,
% 43.74/7.09 ((((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl9953])).
% 43.74/7.09 thf(zip_derived_cl10194, plain,
% 43.74/7.09 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero)))),
% 43.74/7.09 inference('clc', [status(thm)], [zip_derived_cl10050, zip_derived_cl9954])).
% 43.74/7.09 thf(zip_derived_cl9879, plain,
% 43.74/7.09 ((((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('clc', [status(thm)], [zip_derived_cl9877, zip_derived_cl9750])).
% 43.74/7.09 thf(zip_derived_cl10194, plain,
% 43.74/7.09 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero)))),
% 43.74/7.09 inference('clc', [status(thm)], [zip_derived_cl10050, zip_derived_cl9954])).
% 43.74/7.09 thf(zip_derived_cl9918, plain,
% 43.74/7.09 (![X0 : $i]:
% 43.74/7.09 (((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ X0)
% 43.74/7.09 | ~ (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ X0))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl9908, zip_derived_cl0])).
% 43.74/7.09 thf(zip_derived_cl9887, plain,
% 43.74/7.09 ((~ (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ~ (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl9879, zip_derived_cl40])).
% 43.74/7.09 thf(zip_derived_cl9929, plain,
% 43.74/7.09 ((~ (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ~ (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl9918, zip_derived_cl9887])).
% 43.74/7.09 thf(zip_derived_cl9930, plain,
% 43.74/7.09 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ~ (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl9929])).
% 43.74/7.09 thf(zip_derived_cl10198, plain,
% 43.74/7.09 ((~ (greater @ zero @ zero)
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ~ (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.09 inference('sup-', [status(thm)],
% 43.74/7.09 [zip_derived_cl10194, zip_derived_cl9930])).
% 43.74/7.09 thf(zip_derived_cl10206, plain,
% 43.74/7.09 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ~ (greater @ zero @ zero))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl10198])).
% 43.74/7.09 thf(zip_derived_cl9947, plain,
% 43.74/7.09 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero)))),
% 43.74/7.09 inference('clc', [status(thm)], [zip_derived_cl9909, zip_derived_cl9918])).
% 43.74/7.09 thf(zip_derived_cl10003, plain,
% 43.74/7.09 (![X0 : $i]:
% 43.74/7.09 (((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ zero @ X0)
% 43.74/7.09 | ~ (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ X0))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl10002, zip_derived_cl0])).
% 43.74/7.09 thf(zip_derived_cl10045, plain,
% 43.74/7.09 ((((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ zero @ zero)
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero)))),
% 43.74/7.09 inference('sup-', [status(thm)],
% 43.74/7.09 [zip_derived_cl9947, zip_derived_cl10003])).
% 43.74/7.09 thf(zip_derived_cl10052, plain,
% 43.74/7.09 (( (greater @ zero @ zero)
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero)))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl10045])).
% 43.74/7.09 thf(zip_derived_cl9891, plain,
% 43.74/7.09 (( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.09 (sk1 @ sk3))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('demod', [status(thm)], [zip_derived_cl9880, zip_derived_cl27])).
% 43.74/7.09 thf(zip_derived_cl9108, plain,
% 43.74/7.09 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('clc', [status(thm)], [zip_derived_cl9107, zip_derived_cl8248])).
% 43.74/7.09 thf(zip_derived_cl107, plain,
% 43.74/7.09 (![X0 : $i, X1 : $i]:
% 43.74/7.09 (~ (greater @ X1 @ (equilibrium @ X0))
% 43.74/7.09 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 43.74/7.09 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 43.74/7.09 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 43.74/7.09 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 43.74/7.09 | ~ (environment @ X0))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl10])).
% 43.74/7.09 thf(zip_derived_cl9115, plain,
% 43.74/7.09 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ~ (environment @ sk3)
% 43.74/7.09 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.09 (sk1 @ sk3))
% 43.74/7.09 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 43.74/7.09 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.09 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl9108, zip_derived_cl107])).
% 43.74/7.09 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.09 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.09 thf(zip_derived_cl9132, plain,
% 43.74/7.09 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.09 (sk1 @ sk3))
% 43.74/7.09 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 43.74/7.09 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.09 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 43.74/7.09 inference('demod', [status(thm)], [zip_derived_cl9115, zip_derived_cl17])).
% 43.74/7.09 thf(zip_derived_cl9905, plain,
% 43.74/7.09 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 43.74/7.09 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.09 | ((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl9891, zip_derived_cl9132])).
% 43.74/7.09 thf(zip_derived_cl9914, plain,
% 43.74/7.09 ((((growth_rate @ efficient_producers @ (sk1 @ sk3)) = (zero))
% 43.74/7.09 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.09 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl9905])).
% 43.74/7.09 thf(zip_derived_cl9908, plain,
% 43.74/7.09 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @
% 43.74/7.09 (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl9899, zip_derived_cl17, zip_derived_cl18])).
% 43.74/7.09 thf(zip_derived_cl9939, plain,
% 43.74/7.09 (( (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 43.74/7.09 | (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('sup+', [status(thm)], [zip_derived_cl9914, zip_derived_cl9908])).
% 43.74/7.09 thf(zip_derived_cl9942, plain,
% 43.74/7.09 (( (greater @ (growth_rate @ first_movers @ (sk1 @ sk3)) @ zero)
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl9939])).
% 43.74/7.09 thf(zip_derived_cl10061, plain,
% 43.74/7.09 (( (greater @ zero @ zero)
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ zero @ zero)
% 43.74/7.09 | (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('sup+', [status(thm)],
% 43.74/7.09 [zip_derived_cl10052, zip_derived_cl9942])).
% 43.74/7.09 thf(zip_derived_cl10070, plain,
% 43.74/7.09 (( (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ zero @ zero))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl10061])).
% 43.74/7.09 thf(zip_derived_cl9879, plain,
% 43.74/7.09 ((((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('clc', [status(thm)], [zip_derived_cl9877, zip_derived_cl9750])).
% 43.74/7.09 thf(zip_derived_cl10052, plain,
% 43.74/7.09 (( (greater @ zero @ zero)
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk1 @ sk3)) = (zero)))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl10045])).
% 43.74/7.09 thf(zip_derived_cl9908, plain,
% 43.74/7.09 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @
% 43.74/7.09 (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl9899, zip_derived_cl17, zip_derived_cl18])).
% 43.74/7.09 thf(zip_derived_cl10057, plain,
% 43.74/7.09 (( (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ zero @ zero)
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('sup+', [status(thm)],
% 43.74/7.09 [zip_derived_cl10052, zip_derived_cl9908])).
% 43.74/7.09 thf(zip_derived_cl10066, plain,
% 43.74/7.09 (( (greater @ zero @ zero)
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl10057])).
% 43.74/7.09 thf(zip_derived_cl9887, plain,
% 43.74/7.09 ((~ (greater @ (growth_rate @ efficient_producers @ (sk1 @ sk3)) @ zero)
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ~ (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl9879, zip_derived_cl40])).
% 43.74/7.09 thf(zip_derived_cl10110, plain,
% 43.74/7.09 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ zero @ zero)
% 43.74/7.09 | ~ (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('sup-', [status(thm)],
% 43.74/7.09 [zip_derived_cl10066, zip_derived_cl9887])).
% 43.74/7.09 thf(zip_derived_cl10112, plain,
% 43.74/7.09 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))))
% 43.74/7.09 | (greater @ zero @ zero)
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl10110])).
% 43.74/7.09 thf(zip_derived_cl10113, plain,
% 43.74/7.09 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | (greater @ zero @ zero))),
% 43.74/7.09 inference('sup-', [status(thm)],
% 43.74/7.09 [zip_derived_cl9879, zip_derived_cl10112])).
% 43.74/7.09 thf(zip_derived_cl10114, plain,
% 43.74/7.09 (( (greater @ zero @ zero)
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl10113])).
% 43.74/7.09 thf(zip_derived_cl10117, plain,
% 43.74/7.09 (( (greater @ zero @ zero) | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('clc', [status(thm)],
% 43.74/7.09 [zip_derived_cl10070, zip_derived_cl10114])).
% 43.74/7.09 thf(zip_derived_cl10220, plain,
% 43.74/7.09 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ~ (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3)))))),
% 43.74/7.09 inference('clc', [status(thm)],
% 43.74/7.09 [zip_derived_cl10206, zip_derived_cl10117])).
% 43.74/7.09 thf(zip_derived_cl10221, plain,
% 43.74/7.09 ((~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3)))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('sup-', [status(thm)],
% 43.74/7.09 [zip_derived_cl9879, zip_derived_cl10220])).
% 43.74/7.09 thf(zip_derived_cl10223, plain,
% 43.74/7.09 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ sk3))))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl10221])).
% 43.74/7.09 thf(zip_derived_cl10224, plain,
% 43.74/7.09 ((~ (greater @ zero @ zero)
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3))
% 43.74/7.09 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('sup-', [status(thm)],
% 43.74/7.09 [zip_derived_cl10194, zip_derived_cl10223])).
% 43.74/7.09 thf(zip_derived_cl10226, plain,
% 43.74/7.09 ((((equilibrium @ sk3) = (sk1 @ sk3)) | ~ (greater @ zero @ zero))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl10224])).
% 43.74/7.09 thf(zip_derived_cl10117, plain,
% 43.74/7.09 (( (greater @ zero @ zero) | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 43.74/7.09 inference('clc', [status(thm)],
% 43.74/7.09 [zip_derived_cl10070, zip_derived_cl10114])).
% 43.74/7.09 thf(zip_derived_cl10227, plain, (((equilibrium @ sk3) = (sk1 @ sk3))),
% 43.74/7.09 inference('clc', [status(thm)],
% 43.74/7.09 [zip_derived_cl10226, zip_derived_cl10117])).
% 43.74/7.09 thf(zip_derived_cl59, plain,
% 43.74/7.09 (![X0 : $i]:
% 43.74/7.09 (~ (in_environment @ sk3 @ (sk1 @ X0))
% 43.74/7.09 | (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ X0))) @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (sk1 @ X0))))
% 43.74/7.09 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.09 (sk4 @ (sk1 @ X0)))
% 43.74/7.09 | ~ (stable @ X0)
% 43.74/7.09 | ~ (environment @ X0))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl14])).
% 43.74/7.09 thf(zip_derived_cl10247, plain,
% 43.74/7.09 (( (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ sk3))) @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.09 | ~ (environment @ sk3)
% 43.74/7.09 | ~ (stable @ sk3)
% 43.74/7.09 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.09 (sk4 @ (sk1 @ sk3)))
% 43.74/7.09 | ~ (in_environment @ sk3 @ (sk1 @ sk3)))),
% 43.74/7.09 inference('sup+', [status(thm)], [zip_derived_cl10227, zip_derived_cl59])).
% 43.74/7.09 thf(zip_derived_cl10227, plain, (((equilibrium @ sk3) = (sk1 @ sk3))),
% 43.74/7.09 inference('clc', [status(thm)],
% 43.74/7.09 [zip_derived_cl10226, zip_derived_cl10117])).
% 43.74/7.09 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.09 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.09 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 43.74/7.09 inference('cnf', [status(esa)], [zf_stmt_2])).
% 43.74/7.09 thf(zip_derived_cl10227, plain, (((equilibrium @ sk3) = (sk1 @ sk3))),
% 43.74/7.09 inference('clc', [status(thm)],
% 43.74/7.09 [zip_derived_cl10226, zip_derived_cl10117])).
% 43.74/7.09 thf(zip_derived_cl10227, plain, (((equilibrium @ sk3) = (sk1 @ sk3))),
% 43.74/7.09 inference('clc', [status(thm)],
% 43.74/7.09 [zip_derived_cl10226, zip_derived_cl10117])).
% 43.74/7.09 thf(zip_derived_cl6713, plain,
% 43.74/7.09 ( (in_environment @ sk3 @ (equilibrium @ sk3))),
% 43.74/7.09 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl6712])).
% 43.74/7.09 thf(zip_derived_cl10257, plain,
% 43.74/7.09 (( (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.09 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.09 (sk4 @ (equilibrium @ sk3))))),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl10247, zip_derived_cl10227, zip_derived_cl17,
% 43.74/7.09 zip_derived_cl18, zip_derived_cl10227, zip_derived_cl10227,
% 43.74/7.09 zip_derived_cl6713])).
% 43.74/7.09 thf(zip_derived_cl10360, plain,
% 43.74/7.09 ((~ (in_environment @ sk3 @ (equilibrium @ sk3))
% 43.74/7.09 | (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl10257])).
% 43.74/7.09 thf(zip_derived_cl6713, plain,
% 43.74/7.09 ( (in_environment @ sk3 @ (equilibrium @ sk3))),
% 43.74/7.09 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl6712])).
% 43.74/7.09 thf(zip_derived_cl10361, plain,
% 43.74/7.09 ( (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl10360, zip_derived_cl6713])).
% 43.74/7.09 thf(zip_derived_cl19, plain,
% 43.74/7.09 (![X0 : $i]:
% 43.74/7.09 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.09 (sk4 @ X0))
% 43.74/7.09 | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.74/7.09 thf(zip_derived_cl217, plain,
% 43.74/7.09 (![X0 : $i, X1 : $i]:
% 43.74/7.09 (~ (environment @ X0)
% 43.74/7.09 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.09 (sk4 @ (equilibrium @ X0)))
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ X0))) = (zero))
% 43.74/7.09 | (greater @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ X0))) @ zero)
% 43.74/7.09 | ~ (in_environment @ sk3 @ (equilibrium @ X0))
% 43.74/7.09 | (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ X0))) @
% 43.74/7.09 X1)
% 43.74/7.09 | ~ (greater @ zero @ X1))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl0])).
% 43.74/7.09 thf(zip_derived_cl6715, plain,
% 43.74/7.09 ((~ (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.09 zero)
% 43.74/7.09 | ~ (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl41, zip_derived_cl6712, zip_derived_cl6712])).
% 43.74/7.09 thf(zip_derived_cl10361, plain,
% 43.74/7.09 ( (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl10360, zip_derived_cl6713])).
% 43.74/7.09 thf(zip_derived_cl7228, plain,
% 43.74/7.09 (![X0 : $i]:
% 43.74/7.09 (((growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3)))
% 43.74/7.09 = (zero))
% 43.74/7.09 | (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.09 | (greater @ zero @ X0)
% 43.74/7.09 | ~ (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.09 X0))),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl7227, zip_derived_cl6713])).
% 43.74/7.09 thf(zip_derived_cl10364, plain,
% 43.74/7.09 (( (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.09 | (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.09 | ((growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3)))
% 43.74/7.09 = (zero)))),
% 43.74/7.09 inference('sup-', [status(thm)],
% 43.74/7.09 [zip_derived_cl10361, zip_derived_cl7228])).
% 43.74/7.09 thf(zip_derived_cl10373, plain,
% 43.74/7.09 ((((growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3)))
% 43.74/7.09 = (zero))
% 43.74/7.09 | (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl10364])).
% 43.74/7.09 thf(zip_derived_cl10361, plain,
% 43.74/7.09 ( (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl10360, zip_derived_cl6713])).
% 43.74/7.09 thf(zip_derived_cl10419, plain,
% 43.74/7.09 (( (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.09 | (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.09 inference('sup+', [status(thm)],
% 43.74/7.09 [zip_derived_cl10373, zip_derived_cl10361])).
% 43.74/7.09 thf(zip_derived_cl10435, plain,
% 43.74/7.09 ( (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl10419])).
% 43.74/7.09 thf(zip_derived_cl10438, plain,
% 43.74/7.09 (~ (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.09 zero)),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl6715, zip_derived_cl10435])).
% 43.74/7.09 thf(zip_derived_cl10453, plain,
% 43.74/7.09 ((~ (greater @ zero @ zero)
% 43.74/7.09 | ~ (in_environment @ sk3 @ (equilibrium @ sk3))
% 43.74/7.09 | (greater @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ zero)
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero))
% 43.74/7.09 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.09 (sk4 @ (equilibrium @ sk3)))
% 43.74/7.09 | ~ (environment @ sk3))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl217, zip_derived_cl10438])).
% 43.74/7.09 thf(zip_derived_cl6713, plain,
% 43.74/7.09 ( (in_environment @ sk3 @ (equilibrium @ sk3))),
% 43.74/7.09 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl6712])).
% 43.74/7.09 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.09 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.09 thf(zip_derived_cl10465, plain,
% 43.74/7.09 ((~ (greater @ zero @ zero)
% 43.74/7.09 | (greater @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ zero)
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero))
% 43.74/7.09 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.09 (sk4 @ (equilibrium @ sk3))))),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl10453, zip_derived_cl6713, zip_derived_cl17])).
% 43.74/7.09 thf(zip_derived_cl5532, plain,
% 43.74/7.09 ((~ (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))
% 43.74/7.09 | (greater @ zero @ zero)
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero)))),
% 43.74/7.09 inference('clc', [status(thm)], [zip_derived_cl5531, zip_derived_cl0])).
% 43.74/7.09 thf(zip_derived_cl10435, plain,
% 43.74/7.09 ( (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl10419])).
% 43.74/7.09 thf(zip_derived_cl10436, plain,
% 43.74/7.09 (( (greater @ zero @ zero)
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero)))),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl5532, zip_derived_cl10435])).
% 43.74/7.09 thf(zip_derived_cl10435, plain,
% 43.74/7.09 ( (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl10419])).
% 43.74/7.09 thf(zip_derived_cl10487, plain,
% 43.74/7.09 (( (greater @ zero @ zero) | (greater @ zero @ zero))),
% 43.74/7.09 inference('sup+', [status(thm)],
% 43.74/7.09 [zip_derived_cl10436, zip_derived_cl10435])).
% 43.74/7.09 thf(zip_derived_cl10492, plain, ( (greater @ zero @ zero)),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl10487])).
% 43.74/7.09 thf(zip_derived_cl10516, plain,
% 43.74/7.09 (( (greater @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ zero)
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero))
% 43.74/7.09 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.09 (sk4 @ (equilibrium @ sk3))))),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl10465, zip_derived_cl10492])).
% 43.74/7.09 thf(zip_derived_cl19, plain,
% 43.74/7.09 (![X0 : $i]:
% 43.74/7.09 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.09 (sk4 @ X0))
% 43.74/7.09 | ~ (in_environment @ sk3 @ X0))),
% 43.74/7.09 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.74/7.09 thf(zip_derived_cl10227, plain, (((equilibrium @ sk3) = (sk1 @ sk3))),
% 43.74/7.09 inference('clc', [status(thm)],
% 43.74/7.09 [zip_derived_cl10226, zip_derived_cl10117])).
% 43.74/7.09 thf(zip_derived_cl80, plain,
% 43.74/7.09 (![X0 : $i, X1 : $i]:
% 43.74/7.09 (~ (environment @ X0)
% 43.74/7.09 | ~ (stable @ X0)
% 43.74/7.09 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 43.74/7.09 (sk4 @ (sk1 @ X0)))
% 43.74/7.09 | ~ (in_environment @ sk3 @ (sk1 @ X0))
% 43.74/7.09 | (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (sk1 @ X0))) @ X1)
% 43.74/7.09 | ~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ X0))) @ X1))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl0])).
% 43.74/7.09 thf(zip_derived_cl10249, plain,
% 43.74/7.09 (![X0 : $i]:
% 43.74/7.09 ( (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.09 X0)
% 43.74/7.09 | ~ (greater @ (growth_rate @ first_movers @ (sk4 @ (sk1 @ sk3))) @
% 43.74/7.09 X0)
% 43.74/7.09 | ~ (in_environment @ sk3 @ (sk1 @ sk3))
% 43.74/7.09 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.09 (sk4 @ (sk1 @ sk3)))
% 43.74/7.09 | ~ (stable @ sk3)
% 43.74/7.09 | ~ (environment @ sk3))),
% 43.74/7.09 inference('sup+', [status(thm)], [zip_derived_cl10227, zip_derived_cl80])).
% 43.74/7.09 thf(zip_derived_cl10227, plain, (((equilibrium @ sk3) = (sk1 @ sk3))),
% 43.74/7.09 inference('clc', [status(thm)],
% 43.74/7.09 [zip_derived_cl10226, zip_derived_cl10117])).
% 43.74/7.09 thf(zip_derived_cl10227, plain, (((equilibrium @ sk3) = (sk1 @ sk3))),
% 43.74/7.09 inference('clc', [status(thm)],
% 43.74/7.09 [zip_derived_cl10226, zip_derived_cl10117])).
% 43.74/7.09 thf(zip_derived_cl6713, plain,
% 43.74/7.09 ( (in_environment @ sk3 @ (equilibrium @ sk3))),
% 43.74/7.09 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl6712])).
% 43.74/7.09 thf(zip_derived_cl10227, plain, (((equilibrium @ sk3) = (sk1 @ sk3))),
% 43.74/7.09 inference('clc', [status(thm)],
% 43.74/7.09 [zip_derived_cl10226, zip_derived_cl10117])).
% 43.74/7.09 thf(zip_derived_cl18, plain, ( (stable @ sk3)),
% 43.74/7.09 inference('cnf', [status(esa)], [zf_stmt_2])).
% 43.74/7.09 thf(zip_derived_cl17, plain, ( (environment @ sk3)),
% 43.74/7.09 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.74/7.09 thf(zip_derived_cl10259, plain,
% 43.74/7.09 (![X0 : $i]:
% 43.74/7.09 ( (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.09 X0)
% 43.74/7.09 | ~ (greater @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ X0)
% 43.74/7.09 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.09 (sk4 @ (equilibrium @ sk3))))),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl10249, zip_derived_cl10227,
% 43.74/7.09 zip_derived_cl10227, zip_derived_cl6713, zip_derived_cl10227,
% 43.74/7.09 zip_derived_cl18, zip_derived_cl17])).
% 43.74/7.09 thf(zip_derived_cl10350, plain,
% 43.74/7.09 (![X0 : $i]:
% 43.74/7.09 (~ (in_environment @ sk3 @ (equilibrium @ sk3))
% 43.74/7.09 | ~ (greater @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ X0)
% 43.74/7.09 | (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.09 X0))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl10259])).
% 43.74/7.09 thf(zip_derived_cl6713, plain,
% 43.74/7.09 ( (in_environment @ sk3 @ (equilibrium @ sk3))),
% 43.74/7.09 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl6712])).
% 43.74/7.09 thf(zip_derived_cl10351, plain,
% 43.74/7.09 (![X0 : $i]:
% 43.74/7.09 (~ (greater @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ X0)
% 43.74/7.09 | (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.09 X0))),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl10350, zip_derived_cl6713])).
% 43.74/7.09 thf(zip_derived_cl6715, plain,
% 43.74/7.09 ((~ (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.09 zero)
% 43.74/7.09 | ~ (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl41, zip_derived_cl6712, zip_derived_cl6712])).
% 43.74/7.09 thf(zip_derived_cl10390, plain,
% 43.74/7.09 ((~ (greater @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ zero)
% 43.74/7.09 | ~ (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3)))))),
% 43.74/7.09 inference('sup-', [status(thm)],
% 43.74/7.09 [zip_derived_cl10351, zip_derived_cl6715])).
% 43.74/7.09 thf(zip_derived_cl10435, plain,
% 43.74/7.09 ( (greater @ zero @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))))),
% 43.74/7.09 inference('simplify', [status(thm)], [zip_derived_cl10419])).
% 43.74/7.09 thf(zip_derived_cl10443, plain,
% 43.74/7.09 (~ (greater @
% 43.74/7.09 (growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) @ zero)),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl10390, zip_derived_cl10435])).
% 43.74/7.09 thf(zip_derived_cl10517, plain,
% 43.74/7.09 ((~ (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 43.74/7.09 (sk4 @ (equilibrium @ sk3)))
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero)))),
% 43.74/7.09 inference('clc', [status(thm)],
% 43.74/7.09 [zip_derived_cl10516, zip_derived_cl10443])).
% 43.74/7.09 thf(zip_derived_cl10518, plain,
% 43.74/7.09 ((~ (in_environment @ sk3 @ (equilibrium @ sk3))
% 43.74/7.09 | ((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero)))),
% 43.74/7.09 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl10517])).
% 43.74/7.09 thf(zip_derived_cl6713, plain,
% 43.74/7.09 ( (in_environment @ sk3 @ (equilibrium @ sk3))),
% 43.74/7.09 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl6712])).
% 43.74/7.09 thf(zip_derived_cl10519, plain,
% 43.74/7.09 (((growth_rate @ first_movers @ (sk4 @ (equilibrium @ sk3))) = (zero))),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl10518, zip_derived_cl6713])).
% 43.74/7.09 thf(zip_derived_cl10438, plain,
% 43.74/7.09 (~ (greater @
% 43.74/7.09 (growth_rate @ efficient_producers @ (sk4 @ (equilibrium @ sk3))) @
% 43.74/7.09 zero)),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl6715, zip_derived_cl10435])).
% 43.74/7.09 thf(zip_derived_cl10522, plain, ($false),
% 43.74/7.09 inference('demod', [status(thm)],
% 43.74/7.09 [zip_derived_cl10361, zip_derived_cl10519, zip_derived_cl10438])).
% 43.74/7.09
% 43.74/7.09 % SZS output end Refutation
% 43.74/7.09
% 43.74/7.09
% 43.74/7.09 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 43.74/7.09 % Terminating...
% 43.74/7.15 % Runner terminated.
% 8.10/7.18 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------