%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT024-1 : 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.YGmgkM9AWo true
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:49 AM UTC 2026
% Result : Unsatisfiable 0.40s 0.71s
% Output : Refutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT024-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YGmgkM9AWo true
% 0.11/0.35 % Computer : n011.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 7 12:09:30 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 % Running portfolio for 300 s
% 0.11/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.12.3
% 0.14/0.37 % Running in FO mode
% 0.37/0.57 % Total configuration time : 435
% 0.37/0.57 % Estimated wc time : 1092
% 0.37/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.40/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.40/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.40/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.40/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.40/0.71 % Solved by fo/fo6_bce.sh.
% 0.40/0.71 % BCE start: 21
% 0.40/0.71 % BCE eliminated: 0
% 0.40/0.71 % PE start: 21
% 0.40/0.71 logic: eq
% 0.40/0.71 % PE eliminated: 3
% 0.40/0.71 % done 57 iterations in 0.041s
% 0.40/0.71 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.40/0.71 % SZS output start Refutation
% 0.40/0.71 thf(number_of_organizations_type, type, number_of_organizations: $i > $i > $i).
% 0.40/0.71 thf(sk1_type, type, sk1: $i).
% 0.40/0.71 thf(growth_rate_type, type, growth_rate: $i > $i > $i).
% 0.40/0.71 thf(resources_type, type, resources: $i > $i > $i).
% 0.40/0.71 thf(environment_type, type, environment: $i > $o).
% 0.40/0.71 thf(sk2_type, type, sk2: $i).
% 0.40/0.71 thf(greater_type, type, greater: $i > $i > $o).
% 0.40/0.71 thf(equilibrium_type, type, equilibrium: $i > $i).
% 0.40/0.71 thf(greater_or_equal_type, type, greater_or_equal: $i > $i > $o).
% 0.40/0.71 thf(subpopulations_type, type, subpopulations: $i > $i > $i > $i > $o).
% 0.40/0.71 thf(constant_type, type, constant: $i > $o).
% 0.40/0.71 thf(zero_type, type, zero: $i).
% 0.40/0.71 thf(in_environment_type, type, in_environment: $i > $i > $o).
% 0.40/0.71 thf(first_movers_type, type, first_movers: $i).
% 0.40/0.71 thf(efficient_producers_type, type, efficient_producers: $i).
% 0.40/0.71 thf(prove_l6_44, conjecture,
% 0.40/0.71 (~( ( ~( greater @ zero @ ( growth_rate @ first_movers @ sk2 ) ) ) |
% 0.40/0.71 ( ~( greater @ ( growth_rate @ efficient_producers @ sk2 ) @ zero ) ) ))).
% 0.40/0.71 thf(zf_stmt_0, negated_conjecture,
% 0.40/0.71 (( ~( greater @ zero @ ( growth_rate @ first_movers @ sk2 ) ) ) |
% 0.40/0.71 ( ~( greater @ ( growth_rate @ efficient_producers @ sk2 ) @ zero ) )),
% 0.40/0.71 inference('cnf.neg', [status(esa)], [prove_l6_44])).
% 0.40/0.71 thf(zip_derived_cl20, plain,
% 0.40/0.71 ((~ (greater @ zero @ (growth_rate @ first_movers @ sk2))
% 0.40/0.71 | ~ (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.40/0.71 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.40/0.71 thf(prove_l6_40, conjecture,
% 0.40/0.71 (~( subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2 ))).
% 0.40/0.71 thf(zf_stmt_1, negated_conjecture,
% 0.40/0.71 (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2),
% 0.40/0.71 inference('cnf.neg', [status(esa)], [prove_l6_40])).
% 0.40/0.71 thf(zip_derived_cl16, plain,
% 0.40/0.71 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)),
% 0.40/0.71 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.40/0.71 thf(l7_33, axiom,
% 0.40/0.71 (( ~( environment @ A ) ) |
% 0.40/0.71 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.40/0.71 ( ~( constant @ ( number_of_organizations @ A @ B ) ) ) |
% 0.40/0.71 ( ( growth_rate @ first_movers @ B ) = ( zero ) ) |
% 0.40/0.71 ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) ) |
% 0.40/0.71 ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ))).
% 0.40/0.71 thf(zip_derived_cl9, plain,
% 0.40/0.71 (![X0 : $i, X1 : $i]:
% 0.40/0.71 (~ (environment @ X0)
% 0.40/0.71 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.40/0.71 | ~ (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.71 | ((growth_rate @ first_movers @ X1) = (zero))
% 0.40/0.71 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 0.40/0.71 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero))),
% 0.40/0.71 inference('cnf', [status(esa)], [l7_33])).
% 0.40/0.71 thf(zip_derived_cl187, plain,
% 0.40/0.71 (![X0 : $i, X1 : $i]:
% 0.40/0.71 (((first_movers) != (first_movers))
% 0.40/0.71 | ((efficient_producers) != (efficient_producers))
% 0.40/0.71 | ((sk1) != (X0))
% 0.40/0.71 | ((sk2) != (X1))
% 0.40/0.71 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero)
% 0.40/0.71 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 0.40/0.71 | ((growth_rate @ first_movers @ X1) = (zero))
% 0.40/0.71 | ~ (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.71 | ~ (environment @ X0))),
% 0.40/0.71 inference('dp-resolution', [status(thm)],
% 0.40/0.71 [zip_derived_cl16, zip_derived_cl9])).
% 0.40/0.71 thf(zip_derived_cl231, plain,
% 0.40/0.71 (![X0 : $i, X1 : $i]:
% 0.40/0.71 (~ (environment @ X0)
% 0.40/0.71 | ~ (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.71 | ((growth_rate @ first_movers @ X1) = (zero))
% 0.40/0.71 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 0.40/0.71 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero)
% 0.40/0.71 | ((sk2) != (X1))
% 0.40/0.71 | ((sk1) != (X0)))),
% 0.40/0.71 inference('simplify', [status(thm)], [zip_derived_cl187])).
% 0.40/0.71 thf(zip_derived_cl232, plain,
% 0.40/0.71 (![X0 : $i]:
% 0.40/0.71 (((sk1) != (X0))
% 0.40/0.71 | (greater @ (growth_rate @ efficient_producers @ sk2) @ zero)
% 0.40/0.71 | (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 0.40/0.71 | ((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.71 | ~ (constant @ (number_of_organizations @ X0 @ sk2))
% 0.40/0.71 | ~ (environment @ X0))),
% 0.40/0.71 inference('eq_res', [status(thm)], [zip_derived_cl231])).
% 0.40/0.71 thf(zip_derived_cl233, plain,
% 0.40/0.71 ((~ (environment @ sk1)
% 0.40/0.71 | ~ (constant @ (number_of_organizations @ sk1 @ sk2))
% 0.40/0.71 | ((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.71 | (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 0.40/0.71 | (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.40/0.71 inference('eq_res', [status(thm)], [zip_derived_cl232])).
% 0.40/0.71 thf(prove_l6_39, conjecture, (~( environment @ sk1 ))).
% 0.40/0.71 thf(zf_stmt_2, negated_conjecture, (environment @ sk1),
% 0.40/0.71 inference('cnf.neg', [status(esa)], [prove_l6_39])).
% 0.40/0.71 thf(zip_derived_cl15, plain, ( (environment @ sk1)),
% 0.40/0.71 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.40/0.71 thf(zip_derived_cl234, plain,
% 0.40/0.71 ((~ (constant @ (number_of_organizations @ sk1 @ sk2))
% 0.40/0.71 | ((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.71 | (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 0.40/0.71 | (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.40/0.71 inference('demod', [status(thm)], [zip_derived_cl233, zip_derived_cl15])).
% 0.40/0.71 thf(zip_derived_cl16, plain,
% 0.40/0.71 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)),
% 0.40/0.71 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.40/0.71 thf(mp_time_point_occur_24, axiom,
% 0.40/0.71 (( ~( environment @ A ) ) |
% 0.40/0.71 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.40/0.71 ( in_environment @ A @ B ))).
% 0.40/0.71 thf(zip_derived_cl0, plain,
% 0.40/0.71 (![X0 : $i, X1 : $i]:
% 0.40/0.71 (~ (environment @ X0)
% 0.40/0.71 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.40/0.71 | (in_environment @ X0 @ X1))),
% 0.40/0.71 inference('cnf', [status(esa)], [mp_time_point_occur_24])).
% 0.40/0.71 thf(a3_28, axiom,
% 0.40/0.71 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.40/0.71 ( ~( greater @ ( number_of_organizations @ A @ B ) @ zero ) ) |
% 0.40/0.72 ( greater @ ( equilibrium @ A ) @ B ) |
% 0.40/0.72 ( constant @ ( resources @ A @ B ) ))).
% 0.40/0.72 thf(zip_derived_cl4, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (~ (environment @ X0)
% 0.40/0.72 | ~ (in_environment @ X0 @ X1)
% 0.40/0.72 | ~ (greater @ (number_of_organizations @ X0 @ X1) @ zero)
% 0.40/0.72 | (greater @ (equilibrium @ X0) @ X1)
% 0.40/0.72 | (constant @ (resources @ X0 @ X1)))),
% 0.40/0.72 inference('cnf', [status(esa)], [a3_28])).
% 0.40/0.72 thf(zip_derived_cl173, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.40/0.72 | ~ (environment @ X0)
% 0.40/0.72 | (constant @ (resources @ X0 @ X1))
% 0.40/0.72 | (greater @ (equilibrium @ X0) @ X1)
% 0.40/0.72 | ~ (greater @ (number_of_organizations @ X0 @ X1) @ zero)
% 0.40/0.72 | ~ (environment @ X0))),
% 0.40/0.72 inference('dp-resolution', [status(thm)],
% 0.40/0.72 [zip_derived_cl0, zip_derived_cl4])).
% 0.40/0.72 thf(zip_derived_cl208, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (((first_movers) != (first_movers))
% 0.40/0.72 | ((efficient_producers) != (efficient_producers))
% 0.40/0.72 | ((sk1) != (X1))
% 0.40/0.72 | ((sk2) != (X0))
% 0.40/0.72 | ~ (environment @ X1)
% 0.40/0.72 | ~ (greater @ (number_of_organizations @ X1 @ X0) @ zero)
% 0.40/0.72 | (greater @ (equilibrium @ X1) @ X0)
% 0.40/0.72 | (constant @ (resources @ X1 @ X0))
% 0.40/0.72 | ~ (environment @ X1))),
% 0.40/0.72 inference('dp-resolution', [status(thm)],
% 0.40/0.72 [zip_derived_cl16, zip_derived_cl173])).
% 0.40/0.72 thf(zip_derived_cl261, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 ( (constant @ (resources @ X1 @ X0))
% 0.40/0.72 | (greater @ (equilibrium @ X1) @ X0)
% 0.40/0.72 | ~ (greater @ (number_of_organizations @ X1 @ X0) @ zero)
% 0.40/0.72 | ~ (environment @ X1)
% 0.40/0.72 | ((sk2) != (X0))
% 0.40/0.72 | ((sk1) != (X1)))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl208])).
% 0.40/0.72 thf(zip_derived_cl16, plain,
% 0.40/0.72 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.40/0.72 thf(mp_positive_number_of_organizations_25, axiom,
% 0.40/0.72 (( ~( environment @ A ) ) |
% 0.40/0.72 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.40/0.72 ( greater @ ( number_of_organizations @ A @ B ) @ zero ))).
% 0.40/0.72 thf(zip_derived_cl1, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (~ (environment @ X0)
% 0.40/0.72 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.40/0.72 | (greater @ (number_of_organizations @ X0 @ X1) @ zero))),
% 0.40/0.72 inference('cnf', [status(esa)], [mp_positive_number_of_organizations_25])).
% 0.40/0.72 thf(zip_derived_cl178, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (((first_movers) != (first_movers))
% 0.40/0.72 | ((efficient_producers) != (efficient_producers))
% 0.40/0.72 | ((sk1) != (X0))
% 0.40/0.72 | ((sk2) != (X1))
% 0.40/0.72 | (greater @ (number_of_organizations @ X0 @ X1) @ zero)
% 0.40/0.72 | ~ (environment @ X0))),
% 0.40/0.72 inference('dp-resolution', [status(thm)],
% 0.40/0.72 [zip_derived_cl16, zip_derived_cl1])).
% 0.40/0.72 thf(zip_derived_cl218, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (~ (environment @ X0)
% 0.40/0.72 | (greater @ (number_of_organizations @ X0 @ X1) @ zero)
% 0.40/0.72 | ((sk2) != (X1))
% 0.40/0.72 | ((sk1) != (X0)))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl178])).
% 0.40/0.72 thf(zip_derived_cl262, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (((sk1) != (X1))
% 0.40/0.72 | ((sk2) != (X0))
% 0.40/0.72 | ~ (environment @ X1)
% 0.40/0.72 | (greater @ (equilibrium @ X1) @ X0)
% 0.40/0.72 | (constant @ (resources @ X1 @ X0)))),
% 0.40/0.72 inference('clc', [status(thm)], [zip_derived_cl261, zip_derived_cl218])).
% 0.40/0.72 thf(zip_derived_cl16, plain,
% 0.40/0.72 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.40/0.72 thf(zip_derived_cl0, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (~ (environment @ X0)
% 0.40/0.72 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.40/0.72 | (in_environment @ X0 @ X1))),
% 0.40/0.72 inference('cnf', [status(esa)], [mp_time_point_occur_24])).
% 0.40/0.72 thf(a6_30, axiom,
% 0.40/0.72 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.40/0.72 ( ~( constant @ ( resources @ A @ B ) ) ) |
% 0.40/0.72 ( constant @ ( number_of_organizations @ A @ B ) ))).
% 0.40/0.72 thf(zip_derived_cl6, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (~ (environment @ X0)
% 0.40/0.72 | ~ (in_environment @ X0 @ X1)
% 0.40/0.72 | ~ (constant @ (resources @ X0 @ X1))
% 0.40/0.72 | (constant @ (number_of_organizations @ X0 @ X1)))),
% 0.40/0.72 inference('cnf', [status(esa)], [a6_30])).
% 0.40/0.72 thf(zip_derived_cl175, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.40/0.72 | ~ (environment @ X0)
% 0.40/0.72 | (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.72 | ~ (constant @ (resources @ X0 @ X1))
% 0.40/0.72 | ~ (environment @ X0))),
% 0.40/0.72 inference('dp-resolution', [status(thm)],
% 0.40/0.72 [zip_derived_cl0, zip_derived_cl6])).
% 0.40/0.72 thf(zip_derived_cl214, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (((first_movers) != (first_movers))
% 0.40/0.72 | ((efficient_producers) != (efficient_producers))
% 0.40/0.72 | ((sk1) != (X1))
% 0.40/0.72 | ((sk2) != (X0))
% 0.40/0.72 | ~ (environment @ X1)
% 0.40/0.72 | ~ (constant @ (resources @ X1 @ X0))
% 0.40/0.72 | (constant @ (number_of_organizations @ X1 @ X0))
% 0.40/0.72 | ~ (environment @ X1))),
% 0.40/0.72 inference('dp-resolution', [status(thm)],
% 0.40/0.72 [zip_derived_cl16, zip_derived_cl175])).
% 0.40/0.72 thf(zip_derived_cl257, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 ( (constant @ (number_of_organizations @ X1 @ X0))
% 0.40/0.72 | ~ (constant @ (resources @ X1 @ X0))
% 0.40/0.72 | ~ (environment @ X1)
% 0.40/0.72 | ((sk2) != (X0))
% 0.40/0.72 | ((sk1) != (X1)))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl214])).
% 0.40/0.72 thf(zip_derived_cl258, plain,
% 0.40/0.72 (![X0 : $i]:
% 0.40/0.72 (((sk1) != (X0))
% 0.40/0.72 | ~ (environment @ X0)
% 0.40/0.72 | ~ (constant @ (resources @ X0 @ sk2))
% 0.40/0.72 | (constant @ (number_of_organizations @ X0 @ sk2)))),
% 0.40/0.72 inference('eq_res', [status(thm)], [zip_derived_cl257])).
% 0.40/0.72 thf(zip_derived_cl259, plain,
% 0.40/0.72 (( (constant @ (number_of_organizations @ sk1 @ sk2))
% 0.40/0.72 | ~ (constant @ (resources @ sk1 @ sk2))
% 0.40/0.72 | ~ (environment @ sk1))),
% 0.40/0.72 inference('eq_res', [status(thm)], [zip_derived_cl258])).
% 0.40/0.72 thf(zip_derived_cl15, plain, ( (environment @ sk1)),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.40/0.72 thf(zip_derived_cl260, plain,
% 0.40/0.72 (( (constant @ (number_of_organizations @ sk1 @ sk2))
% 0.40/0.72 | ~ (constant @ (resources @ sk1 @ sk2)))),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl259, zip_derived_cl15])).
% 0.40/0.72 thf(zip_derived_cl263, plain,
% 0.40/0.72 (( (greater @ (equilibrium @ sk1) @ sk2)
% 0.40/0.72 | ~ (environment @ sk1)
% 0.40/0.72 | ((sk2) != (sk2))
% 0.40/0.72 | ((sk1) != (sk1))
% 0.40/0.72 | (constant @ (number_of_organizations @ sk1 @ sk2)))),
% 0.40/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl262, zip_derived_cl260])).
% 0.40/0.72 thf(prove_l6_41, conjecture,
% 0.40/0.72 (~( greater_or_equal @ sk2 @ ( equilibrium @ sk1 ) ))).
% 0.40/0.72 thf(zf_stmt_3, negated_conjecture,
% 0.40/0.72 (greater_or_equal @ sk2 @ ( equilibrium @ sk1 )),
% 0.40/0.72 inference('cnf.neg', [status(esa)], [prove_l6_41])).
% 0.40/0.72 thf(zip_derived_cl17, plain,
% 0.40/0.72 ( (greater_or_equal @ sk2 @ (equilibrium @ sk1))),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.40/0.72 thf(mp_equilibrium_26, axiom,
% 0.40/0.72 (( ~( environment @ A ) ) |
% 0.40/0.72 ( ~( greater_or_equal @ B @ ( equilibrium @ A ) ) ) |
% 0.40/0.72 ( ~( greater @ ( equilibrium @ A ) @ B ) ))).
% 0.40/0.72 thf(zip_derived_cl2, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (~ (environment @ X0)
% 0.40/0.72 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 0.40/0.72 | ~ (greater @ (equilibrium @ X0) @ X1))),
% 0.40/0.72 inference('cnf', [status(esa)], [mp_equilibrium_26])).
% 0.40/0.72 thf(zip_derived_cl171, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (((sk2) != (X1))
% 0.40/0.72 | ((equilibrium @ sk1) != (equilibrium @ X0))
% 0.40/0.72 | ~ (greater @ (equilibrium @ X0) @ X1)
% 0.40/0.72 | ~ (environment @ X0))),
% 0.40/0.72 inference('dp-resolution', [status(thm)],
% 0.40/0.72 [zip_derived_cl17, zip_derived_cl2])).
% 0.40/0.72 thf(zip_derived_cl215, plain,
% 0.40/0.72 (![X0 : $i]:
% 0.40/0.72 (~ (environment @ X0)
% 0.40/0.72 | ~ (greater @ (equilibrium @ X0) @ sk2)
% 0.40/0.72 | ((equilibrium @ sk1) != (equilibrium @ X0)))),
% 0.40/0.72 inference('eq_res', [status(thm)], [zip_derived_cl171])).
% 0.40/0.72 thf(zip_derived_cl216, plain,
% 0.40/0.72 ((~ (greater @ (equilibrium @ sk1) @ sk2) | ~ (environment @ sk1))),
% 0.40/0.72 inference('eq_res', [status(thm)], [zip_derived_cl215])).
% 0.40/0.72 thf(zip_derived_cl15, plain, ( (environment @ sk1)),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.40/0.72 thf(zip_derived_cl217, plain, (~ (greater @ (equilibrium @ sk1) @ sk2)),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl216, zip_derived_cl15])).
% 0.40/0.72 thf(zip_derived_cl15, plain, ( (environment @ sk1)),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.40/0.72 thf(zip_derived_cl264, plain,
% 0.40/0.72 ((((sk2) != (sk2))
% 0.40/0.72 | ((sk1) != (sk1))
% 0.40/0.72 | (constant @ (number_of_organizations @ sk1 @ sk2)))),
% 0.40/0.72 inference('demod', [status(thm)],
% 0.40/0.72 [zip_derived_cl263, zip_derived_cl217, zip_derived_cl15])).
% 0.40/0.72 thf(zip_derived_cl265, plain,
% 0.40/0.72 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl264])).
% 0.40/0.72 thf(zip_derived_cl268, plain,
% 0.40/0.72 ((((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 0.40/0.72 | (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl234, zip_derived_cl265])).
% 0.40/0.72 thf(zip_derived_cl16, plain,
% 0.40/0.72 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.40/0.72 thf(l7_34, axiom,
% 0.40/0.72 (( ~( environment @ A ) ) |
% 0.40/0.72 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.40/0.72 ( ~( constant @ ( number_of_organizations @ A @ B ) ) ) |
% 0.40/0.72 ( ( growth_rate @ first_movers @ B ) = ( zero ) ) |
% 0.40/0.72 ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) ) |
% 0.40/0.72 ( greater @ zero @ ( growth_rate @ first_movers @ B ) ))).
% 0.40/0.72 thf(zip_derived_cl10, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (~ (environment @ X0)
% 0.40/0.72 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.72 | ((growth_rate @ first_movers @ X1) = (zero))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 0.40/0.72 inference('cnf', [status(esa)], [l7_34])).
% 0.40/0.72 thf(zip_derived_cl190, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (((first_movers) != (first_movers))
% 0.40/0.72 | ((efficient_producers) != (efficient_producers))
% 0.40/0.72 | ((sk1) != (X0))
% 0.40/0.72 | ((sk2) != (X1))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 0.40/0.72 | ((growth_rate @ first_movers @ X1) = (zero))
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.72 | ~ (environment @ X0))),
% 0.40/0.72 inference('dp-resolution', [status(thm)],
% 0.40/0.72 [zip_derived_cl16, zip_derived_cl10])).
% 0.40/0.72 thf(zip_derived_cl235, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (~ (environment @ X0)
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.72 | ((growth_rate @ first_movers @ X1) = (zero))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 0.40/0.72 | ((sk2) != (X1))
% 0.40/0.72 | ((sk1) != (X0)))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl190])).
% 0.40/0.72 thf(zip_derived_cl236, plain,
% 0.40/0.72 (![X0 : $i]:
% 0.40/0.72 (((sk1) != (X0))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ sk2))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 0.40/0.72 | ((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ sk2))
% 0.40/0.72 | ~ (environment @ X0))),
% 0.40/0.72 inference('eq_res', [status(thm)], [zip_derived_cl235])).
% 0.40/0.72 thf(zip_derived_cl239, plain,
% 0.40/0.72 ((~ (environment @ sk1)
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ sk1 @ sk2))
% 0.40/0.72 | ((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ sk2)))),
% 0.40/0.72 inference('eq_res', [status(thm)], [zip_derived_cl236])).
% 0.40/0.72 thf(zip_derived_cl15, plain, ( (environment @ sk1)),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.40/0.72 thf(zip_derived_cl240, plain,
% 0.40/0.72 ((~ (constant @ (number_of_organizations @ sk1 @ sk2))
% 0.40/0.72 | ((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ sk2)))),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl239, zip_derived_cl15])).
% 0.40/0.72 thf(zip_derived_cl265, plain,
% 0.40/0.72 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl264])).
% 0.40/0.72 thf(zip_derived_cl269, plain,
% 0.40/0.72 ((((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ sk2)))),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl240, zip_derived_cl265])).
% 0.40/0.72 thf(prove_l6_43, conjecture,
% 0.40/0.72 (~( ( ~( greater @ zero @ ( growth_rate @ efficient_producers @ sk2 ) ) ) |
% 0.40/0.72 ( ~( greater @ ( growth_rate @ first_movers @ sk2 ) @ zero ) ) ))).
% 0.40/0.72 thf(zf_stmt_4, negated_conjecture,
% 0.40/0.72 (( ~( greater @ zero @ ( growth_rate @ efficient_producers @ sk2 ) ) ) |
% 0.40/0.72 ( ~( greater @ ( growth_rate @ first_movers @ sk2 ) @ zero ) )),
% 0.40/0.72 inference('cnf.neg', [status(esa)], [prove_l6_43])).
% 0.40/0.72 thf(zip_derived_cl19, plain,
% 0.40/0.72 ((~ (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 0.40/0.72 | ~ (greater @ (growth_rate @ first_movers @ sk2) @ zero))),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.40/0.72 thf(zip_derived_cl274, plain,
% 0.40/0.72 (( (greater @ zero @ (growth_rate @ first_movers @ sk2))
% 0.40/0.72 | ((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | ~ (greater @ (growth_rate @ first_movers @ sk2) @ zero))),
% 0.40/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl269, zip_derived_cl19])).
% 0.40/0.72 thf(zip_derived_cl16, plain,
% 0.40/0.72 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.40/0.72 thf(l7_32, axiom,
% 0.40/0.72 (( ~( environment @ A ) ) |
% 0.40/0.72 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.40/0.72 ( ~( constant @ ( number_of_organizations @ A @ B ) ) ) |
% 0.40/0.72 ( ( growth_rate @ first_movers @ B ) = ( zero ) ) |
% 0.40/0.72 ( greater @ ( growth_rate @ first_movers @ B ) @ zero ) |
% 0.40/0.72 ( greater @ zero @ ( growth_rate @ first_movers @ B ) ))).
% 0.40/0.72 thf(zip_derived_cl8, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (~ (environment @ X0)
% 0.40/0.72 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.72 | ((growth_rate @ first_movers @ X1) = (zero))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 0.40/0.72 inference('cnf', [status(esa)], [l7_32])).
% 0.40/0.72 thf(zip_derived_cl184, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (((first_movers) != (first_movers))
% 0.40/0.72 | ((efficient_producers) != (efficient_producers))
% 0.40/0.72 | ((sk1) != (X0))
% 0.40/0.72 | ((sk2) != (X1))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 0.40/0.72 | ((growth_rate @ first_movers @ X1) = (zero))
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.72 | ~ (environment @ X0))),
% 0.40/0.72 inference('dp-resolution', [status(thm)],
% 0.40/0.72 [zip_derived_cl16, zip_derived_cl8])).
% 0.40/0.72 thf(zip_derived_cl225, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (~ (environment @ X0)
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.72 | ((growth_rate @ first_movers @ X1) = (zero))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 0.40/0.72 | ((sk2) != (X1))
% 0.40/0.72 | ((sk1) != (X0)))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl184])).
% 0.40/0.72 thf(zip_derived_cl226, plain,
% 0.40/0.72 (![X0 : $i]:
% 0.40/0.72 (((sk1) != (X0))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ sk2))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ sk2) @ zero)
% 0.40/0.72 | ((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ sk2))
% 0.40/0.72 | ~ (environment @ X0))),
% 0.40/0.72 inference('eq_res', [status(thm)], [zip_derived_cl225])).
% 0.40/0.72 thf(zip_derived_cl229, plain,
% 0.40/0.72 ((~ (environment @ sk1)
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ sk1 @ sk2))
% 0.40/0.72 | ((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ sk2) @ zero)
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ sk2)))),
% 0.40/0.72 inference('eq_res', [status(thm)], [zip_derived_cl226])).
% 0.40/0.72 thf(zip_derived_cl15, plain, ( (environment @ sk1)),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.40/0.72 thf(zip_derived_cl230, plain,
% 0.40/0.72 ((~ (constant @ (number_of_organizations @ sk1 @ sk2))
% 0.40/0.72 | ((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ sk2) @ zero)
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ sk2)))),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl229, zip_derived_cl15])).
% 0.40/0.72 thf(zip_derived_cl265, plain,
% 0.40/0.72 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl264])).
% 0.40/0.72 thf(zip_derived_cl267, plain,
% 0.40/0.72 ((((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ sk2) @ zero)
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ sk2)))),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl230, zip_derived_cl265])).
% 0.40/0.72 thf(zip_derived_cl275, plain,
% 0.40/0.72 ((((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ sk2)))),
% 0.40/0.72 inference('clc', [status(thm)], [zip_derived_cl274, zip_derived_cl267])).
% 0.40/0.72 thf(zip_derived_cl20, plain,
% 0.40/0.72 ((~ (greater @ zero @ (growth_rate @ first_movers @ sk2))
% 0.40/0.72 | ~ (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.40/0.72 thf(zip_derived_cl276, plain,
% 0.40/0.72 ((((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | ~ (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.40/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl275, zip_derived_cl20])).
% 0.40/0.72 thf(zip_derived_cl278, plain,
% 0.40/0.72 (( (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 0.40/0.72 | ((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | ((growth_rate @ first_movers @ sk2) = (zero)))),
% 0.40/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl268, zip_derived_cl276])).
% 0.40/0.72 thf(zip_derived_cl280, plain,
% 0.40/0.72 ((((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ efficient_producers @ sk2)))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl278])).
% 0.40/0.72 thf(zip_derived_cl19, plain,
% 0.40/0.72 ((~ (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 0.40/0.72 | ~ (greater @ (growth_rate @ first_movers @ sk2) @ zero))),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.40/0.72 thf(zip_derived_cl282, plain,
% 0.40/0.72 ((((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | ~ (greater @ (growth_rate @ first_movers @ sk2) @ zero))),
% 0.40/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl280, zip_derived_cl19])).
% 0.40/0.72 thf(zip_derived_cl16, plain,
% 0.40/0.72 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.40/0.72 thf(l7_31, axiom,
% 0.40/0.72 (( ~( environment @ A ) ) |
% 0.40/0.72 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.40/0.72 ( ~( constant @ ( number_of_organizations @ A @ B ) ) ) |
% 0.40/0.72 ( ( growth_rate @ first_movers @ B ) = ( zero ) ) |
% 0.40/0.72 ( greater @ ( growth_rate @ first_movers @ B ) @ zero ) |
% 0.40/0.72 ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ))).
% 0.40/0.72 thf(zip_derived_cl7, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (~ (environment @ X0)
% 0.40/0.72 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.72 | ((growth_rate @ first_movers @ X1) = (zero))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 0.40/0.72 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero))),
% 0.40/0.72 inference('cnf', [status(esa)], [l7_31])).
% 0.40/0.72 thf(zip_derived_cl181, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (((first_movers) != (first_movers))
% 0.40/0.72 | ((efficient_producers) != (efficient_producers))
% 0.40/0.72 | ((sk1) != (X0))
% 0.40/0.72 | ((sk2) != (X1))
% 0.40/0.72 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero)
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 0.40/0.72 | ((growth_rate @ first_movers @ X1) = (zero))
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.72 | ~ (environment @ X0))),
% 0.40/0.72 inference('dp-resolution', [status(thm)],
% 0.40/0.72 [zip_derived_cl16, zip_derived_cl7])).
% 0.40/0.72 thf(zip_derived_cl219, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (~ (environment @ X0)
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.72 | ((growth_rate @ first_movers @ X1) = (zero))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 0.40/0.72 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero)
% 0.40/0.72 | ((sk2) != (X1))
% 0.40/0.72 | ((sk1) != (X0)))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl181])).
% 0.40/0.72 thf(zip_derived_cl220, plain,
% 0.40/0.72 (![X0 : $i]:
% 0.40/0.72 (((sk1) != (X0))
% 0.40/0.72 | (greater @ (growth_rate @ efficient_producers @ sk2) @ zero)
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ sk2) @ zero)
% 0.40/0.72 | ((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ sk2))
% 0.40/0.72 | ~ (environment @ X0))),
% 0.40/0.72 inference('eq_res', [status(thm)], [zip_derived_cl219])).
% 0.40/0.72 thf(zip_derived_cl221, plain,
% 0.40/0.72 ((~ (environment @ sk1)
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ sk1 @ sk2))
% 0.40/0.72 | ((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ sk2) @ zero)
% 0.40/0.72 | (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.40/0.72 inference('eq_res', [status(thm)], [zip_derived_cl220])).
% 0.40/0.72 thf(zip_derived_cl15, plain, ( (environment @ sk1)),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.40/0.72 thf(zip_derived_cl222, plain,
% 0.40/0.72 ((~ (constant @ (number_of_organizations @ sk1 @ sk2))
% 0.40/0.72 | ((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ sk2) @ zero)
% 0.40/0.72 | (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl221, zip_derived_cl15])).
% 0.40/0.72 thf(zip_derived_cl265, plain,
% 0.40/0.72 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl264])).
% 0.40/0.72 thf(zip_derived_cl266, plain,
% 0.40/0.72 ((((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ sk2) @ zero)
% 0.40/0.72 | (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl222, zip_derived_cl265])).
% 0.40/0.72 thf(zip_derived_cl276, plain,
% 0.40/0.72 ((((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | ~ (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.40/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl275, zip_derived_cl20])).
% 0.40/0.72 thf(zip_derived_cl277, plain,
% 0.40/0.72 (( (greater @ (growth_rate @ first_movers @ sk2) @ zero)
% 0.40/0.72 | ((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | ((growth_rate @ first_movers @ sk2) = (zero)))),
% 0.40/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl266, zip_derived_cl276])).
% 0.40/0.72 thf(zip_derived_cl279, plain,
% 0.40/0.72 ((((growth_rate @ first_movers @ sk2) = (zero))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ sk2) @ zero))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl277])).
% 0.40/0.72 thf(zip_derived_cl283, plain,
% 0.40/0.72 (((growth_rate @ first_movers @ sk2) = (zero))),
% 0.40/0.72 inference('clc', [status(thm)], [zip_derived_cl282, zip_derived_cl279])).
% 0.40/0.72 thf(zip_derived_cl287, plain,
% 0.40/0.72 ((~ (greater @ zero @ zero)
% 0.40/0.72 | ~ (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl283])).
% 0.40/0.72 thf(zip_derived_cl16, plain,
% 0.40/0.72 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.40/0.72 thf(l7_36, axiom,
% 0.40/0.72 (( ~( environment @ A ) ) |
% 0.40/0.72 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.40/0.72 ( ~( constant @ ( number_of_organizations @ A @ B ) ) ) |
% 0.40/0.72 ( ( growth_rate @ efficient_producers @ B ) = ( zero ) ) |
% 0.40/0.72 ( greater @ ( growth_rate @ first_movers @ B ) @ zero ) |
% 0.40/0.72 ( greater @ zero @ ( growth_rate @ first_movers @ B ) ))).
% 0.40/0.72 thf(zip_derived_cl12, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (~ (environment @ X0)
% 0.40/0.72 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.72 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 0.40/0.72 inference('cnf', [status(esa)], [l7_36])).
% 0.40/0.72 thf(zip_derived_cl196, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (((first_movers) != (first_movers))
% 0.40/0.72 | ((efficient_producers) != (efficient_producers))
% 0.40/0.72 | ((sk1) != (X0))
% 0.40/0.72 | ((sk2) != (X1))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 0.40/0.72 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.72 | ~ (environment @ X0))),
% 0.40/0.72 inference('dp-resolution', [status(thm)],
% 0.40/0.72 [zip_derived_cl16, zip_derived_cl12])).
% 0.40/0.72 thf(zip_derived_cl243, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (~ (environment @ X0)
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.72 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 0.40/0.72 | ((sk2) != (X1))
% 0.40/0.72 | ((sk1) != (X0)))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl196])).
% 0.40/0.72 thf(zip_derived_cl244, plain,
% 0.40/0.72 (![X0 : $i]:
% 0.40/0.72 (((sk1) != (X0))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ sk2))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ sk2) @ zero)
% 0.40/0.72 | ((growth_rate @ efficient_producers @ sk2) = (zero))
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ sk2))
% 0.40/0.72 | ~ (environment @ X0))),
% 0.40/0.72 inference('eq_res', [status(thm)], [zip_derived_cl243])).
% 0.40/0.72 thf(zip_derived_cl245, plain,
% 0.40/0.72 ((~ (environment @ sk1)
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ sk1 @ sk2))
% 0.40/0.72 | ((growth_rate @ efficient_producers @ sk2) = (zero))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ sk2) @ zero)
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ sk2)))),
% 0.40/0.72 inference('eq_res', [status(thm)], [zip_derived_cl244])).
% 0.40/0.72 thf(zip_derived_cl15, plain, ( (environment @ sk1)),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.40/0.72 thf(zip_derived_cl246, plain,
% 0.40/0.72 ((~ (constant @ (number_of_organizations @ sk1 @ sk2))
% 0.40/0.72 | ((growth_rate @ efficient_producers @ sk2) = (zero))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ sk2) @ zero)
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ sk2)))),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl245, zip_derived_cl15])).
% 0.40/0.72 thf(zip_derived_cl265, plain,
% 0.40/0.72 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl264])).
% 0.40/0.72 thf(zip_derived_cl271, plain,
% 0.40/0.72 ((((growth_rate @ efficient_producers @ sk2) = (zero))
% 0.40/0.72 | (greater @ (growth_rate @ first_movers @ sk2) @ zero)
% 0.40/0.72 | (greater @ zero @ (growth_rate @ first_movers @ sk2)))),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl246, zip_derived_cl265])).
% 0.40/0.72 thf(zip_derived_cl283, plain,
% 0.40/0.72 (((growth_rate @ first_movers @ sk2) = (zero))),
% 0.40/0.72 inference('clc', [status(thm)], [zip_derived_cl282, zip_derived_cl279])).
% 0.40/0.72 thf(zip_derived_cl283, plain,
% 0.40/0.72 (((growth_rate @ first_movers @ sk2) = (zero))),
% 0.40/0.72 inference('clc', [status(thm)], [zip_derived_cl282, zip_derived_cl279])).
% 0.40/0.72 thf(zip_derived_cl292, plain,
% 0.40/0.72 ((((growth_rate @ efficient_producers @ sk2) = (zero))
% 0.40/0.72 | (greater @ zero @ zero)
% 0.40/0.72 | (greater @ zero @ zero))),
% 0.40/0.72 inference('demod', [status(thm)],
% 0.40/0.72 [zip_derived_cl271, zip_derived_cl283, zip_derived_cl283])).
% 0.40/0.72 thf(zip_derived_cl293, plain,
% 0.40/0.72 (( (greater @ zero @ zero)
% 0.40/0.72 | ((growth_rate @ efficient_producers @ sk2) = (zero)))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl292])).
% 0.40/0.72 thf(prove_l6_42, conjecture,
% 0.40/0.72 (~( ( ( growth_rate @ efficient_producers @ sk2 ) != ( zero ) ) |
% 0.40/0.72 ( ( growth_rate @ first_movers @ sk2 ) != ( zero ) ) ))).
% 0.40/0.72 thf(zf_stmt_5, negated_conjecture,
% 0.40/0.72 (( ( growth_rate @ efficient_producers @ sk2 ) != ( zero ) ) |
% 0.40/0.72 ( ( growth_rate @ first_movers @ sk2 ) != ( zero ) )),
% 0.40/0.72 inference('cnf.neg', [status(esa)], [prove_l6_42])).
% 0.40/0.72 thf(zip_derived_cl18, plain,
% 0.40/0.72 ((((growth_rate @ efficient_producers @ sk2) != (zero))
% 0.40/0.72 | ((growth_rate @ first_movers @ sk2) != (zero)))),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.40/0.72 thf(zip_derived_cl283, plain,
% 0.40/0.72 (((growth_rate @ first_movers @ sk2) = (zero))),
% 0.40/0.72 inference('clc', [status(thm)], [zip_derived_cl282, zip_derived_cl279])).
% 0.40/0.72 thf(zip_derived_cl284, plain,
% 0.40/0.72 ((((growth_rate @ efficient_producers @ sk2) != (zero))
% 0.40/0.72 | ((zero) != (zero)))),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl283])).
% 0.40/0.72 thf(zip_derived_cl285, plain,
% 0.40/0.72 (((growth_rate @ efficient_producers @ sk2) != (zero))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl284])).
% 0.40/0.72 thf(zip_derived_cl294, plain, ( (greater @ zero @ zero)),
% 0.40/0.72 inference('simplify_reflect-', [status(thm)],
% 0.40/0.72 [zip_derived_cl293, zip_derived_cl285])).
% 0.40/0.72 thf(zip_derived_cl298, plain,
% 0.40/0.72 (~ (greater @ (growth_rate @ efficient_producers @ sk2) @ zero)),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl287, zip_derived_cl294])).
% 0.40/0.72 thf(zip_derived_cl16, plain,
% 0.40/0.72 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.40/0.72 thf(l7_37, axiom,
% 0.40/0.72 (( ~( environment @ A ) ) |
% 0.40/0.72 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.40/0.72 ( ~( constant @ ( number_of_organizations @ A @ B ) ) ) |
% 0.40/0.72 ( ( growth_rate @ efficient_producers @ B ) = ( zero ) ) |
% 0.40/0.72 ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) ) |
% 0.40/0.72 ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ))).
% 0.40/0.72 thf(zip_derived_cl13, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (~ (environment @ X0)
% 0.40/0.72 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.72 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 0.40/0.72 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero))),
% 0.40/0.72 inference('cnf', [status(esa)], [l7_37])).
% 0.40/0.72 thf(zip_derived_cl199, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (((first_movers) != (first_movers))
% 0.40/0.72 | ((efficient_producers) != (efficient_producers))
% 0.40/0.72 | ((sk1) != (X0))
% 0.40/0.72 | ((sk2) != (X1))
% 0.40/0.72 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero)
% 0.40/0.72 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 0.40/0.72 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.72 | ~ (environment @ X0))),
% 0.40/0.72 inference('dp-resolution', [status(thm)],
% 0.40/0.72 [zip_derived_cl16, zip_derived_cl13])).
% 0.40/0.72 thf(zip_derived_cl247, plain,
% 0.40/0.72 (![X0 : $i, X1 : $i]:
% 0.40/0.72 (~ (environment @ X0)
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ X1))
% 0.40/0.72 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 0.40/0.72 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero)
% 0.40/0.72 | ((sk2) != (X1))
% 0.40/0.72 | ((sk1) != (X0)))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl199])).
% 0.40/0.72 thf(zip_derived_cl248, plain,
% 0.40/0.72 (![X0 : $i]:
% 0.40/0.72 (((sk1) != (X0))
% 0.40/0.72 | (greater @ (growth_rate @ efficient_producers @ sk2) @ zero)
% 0.40/0.72 | (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 0.40/0.72 | ((growth_rate @ efficient_producers @ sk2) = (zero))
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ X0 @ sk2))
% 0.40/0.72 | ~ (environment @ X0))),
% 0.40/0.72 inference('eq_res', [status(thm)], [zip_derived_cl247])).
% 0.40/0.72 thf(zip_derived_cl251, plain,
% 0.40/0.72 ((~ (environment @ sk1)
% 0.40/0.72 | ~ (constant @ (number_of_organizations @ sk1 @ sk2))
% 0.40/0.72 | ((growth_rate @ efficient_producers @ sk2) = (zero))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 0.40/0.72 | (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.40/0.72 inference('eq_res', [status(thm)], [zip_derived_cl248])).
% 0.40/0.72 thf(zip_derived_cl15, plain, ( (environment @ sk1)),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.40/0.72 thf(zip_derived_cl252, plain,
% 0.40/0.72 ((~ (constant @ (number_of_organizations @ sk1 @ sk2))
% 0.40/0.72 | ((growth_rate @ efficient_producers @ sk2) = (zero))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 0.40/0.72 | (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl251, zip_derived_cl15])).
% 0.40/0.72 thf(zip_derived_cl265, plain,
% 0.40/0.72 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl264])).
% 0.40/0.72 thf(zip_derived_cl272, plain,
% 0.40/0.72 ((((growth_rate @ efficient_producers @ sk2) = (zero))
% 0.40/0.72 | (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 0.40/0.72 | (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl252, zip_derived_cl265])).
% 0.40/0.72 thf(zip_derived_cl19, plain,
% 0.40/0.72 ((~ (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 0.40/0.72 | ~ (greater @ (growth_rate @ first_movers @ sk2) @ zero))),
% 0.40/0.72 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.40/0.72 thf(zip_derived_cl283, plain,
% 0.40/0.72 (((growth_rate @ first_movers @ sk2) = (zero))),
% 0.40/0.72 inference('clc', [status(thm)], [zip_derived_cl282, zip_derived_cl279])).
% 0.40/0.72 thf(zip_derived_cl286, plain,
% 0.40/0.72 ((~ (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 0.40/0.72 | ~ (greater @ zero @ zero))),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl283])).
% 0.40/0.72 thf(zip_derived_cl294, plain, ( (greater @ zero @ zero)),
% 0.40/0.72 inference('simplify_reflect-', [status(thm)],
% 0.40/0.72 [zip_derived_cl293, zip_derived_cl285])).
% 0.40/0.72 thf(zip_derived_cl295, plain,
% 0.40/0.72 (~ (greater @ zero @ (growth_rate @ efficient_producers @ sk2))),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl286, zip_derived_cl294])).
% 0.40/0.72 thf(zip_derived_cl302, plain,
% 0.40/0.72 ((((growth_rate @ efficient_producers @ sk2) = (zero))
% 0.40/0.72 | (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl272, zip_derived_cl295])).
% 0.40/0.72 thf(zip_derived_cl285, plain,
% 0.40/0.72 (((growth_rate @ efficient_producers @ sk2) != (zero))),
% 0.40/0.72 inference('simplify', [status(thm)], [zip_derived_cl284])).
% 0.40/0.72 thf(zip_derived_cl303, plain,
% 0.40/0.72 ( (greater @ (growth_rate @ efficient_producers @ sk2) @ zero)),
% 0.40/0.72 inference('simplify_reflect-', [status(thm)],
% 0.40/0.72 [zip_derived_cl302, zip_derived_cl285])).
% 0.40/0.72 thf(zip_derived_cl304, plain, ($false),
% 0.40/0.72 inference('demod', [status(thm)], [zip_derived_cl298, zip_derived_cl303])).
% 0.40/0.72
% 0.40/0.72 % SZS output end Refutation
% 0.40/0.72
% 0.40/0.72
% 0.40/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.40/0.72 % Terminating...
% 0.40/0.77 % Runner terminated.
% 0.40/0.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------