%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT034-2 : 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.op8r3hV4NQ 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 06:25:01 AM UTC 2026
% Result : Unsatisfiable 0.44s 0.82s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT034-2 : 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.op8r3hV4NQ true
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 7 12:32:45 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Running portfolio for 300 s
% 0.10/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Number of cores: 8
% 0.10/0.38 % Python version: Python 3.12.3
% 0.10/0.38 % Running in FO mode
% 0.36/0.60 % Total configuration time : 435
% 0.36/0.60 % Estimated wc time : 1092
% 0.36/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.42/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.42/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.42/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.42/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.42/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.42/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.42/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.44/0.82 % Solved by fo/fo6_bce.sh.
% 0.44/0.82 % BCE start: 30
% 0.44/0.82 % BCE eliminated: 0
% 0.44/0.82 % PE start: 30
% 0.44/0.82 logic: eq
% 0.44/0.82 % PE eliminated: 2
% 0.44/0.82 % done 175 iterations in 0.126s
% 0.44/0.82 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.44/0.82 % SZS output start Refutation
% 0.44/0.82 thf(sk2_type, type, sk2: $i).
% 0.44/0.82 thf(selection_favors_type, type, selection_favors: $i > $i > $i > $o).
% 0.44/0.82 thf(in_environment_type, type, in_environment: $i > $i > $o).
% 0.44/0.82 thf(disbanding_rate_type, type, disbanding_rate: $i > $i > $i).
% 0.44/0.82 thf(growth_rate_type, type, growth_rate: $i > $i > $i).
% 0.44/0.82 thf(zero_type, type, zero: $i).
% 0.44/0.82 thf(first_movers_type, type, first_movers: $i).
% 0.44/0.82 thf(environment_type, type, environment: $i > $o).
% 0.44/0.82 thf(critical_point_type, type, critical_point: $i > $i).
% 0.44/0.82 thf(greater_or_equal_type, type, greater_or_equal: $i > $i > $o).
% 0.44/0.82 thf(founding_rate_type, type, founding_rate: $i > $i > $i).
% 0.44/0.82 thf(decreases_type, type, decreases: $i > $o).
% 0.44/0.82 thf(subpopulations_type, type, subpopulations: $i > $i > $i > $i > $o).
% 0.44/0.82 thf(appear_type, type, appear: $i > $i > $i).
% 0.44/0.82 thf(sk1_type, type, sk1: $i).
% 0.44/0.82 thf(difference_type, type, difference: $i > $i > $i).
% 0.44/0.82 thf(greater_type, type, greater: $i > $i > $o).
% 0.44/0.82 thf(efficient_producers_type, type, efficient_producers: $i).
% 0.44/0.82 thf(prove_t3_58, conjecture, (~( environment @ sk1 ))).
% 0.44/0.82 thf(zf_stmt_0, negated_conjecture, (environment @ sk1),
% 0.44/0.82 inference('cnf.neg', [status(esa)], [prove_t3_58])).
% 0.44/0.82 thf(zip_derived_cl25, plain, ( (environment @ sk1)),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.44/0.82 thf(mp_symmetry_of_subpopulations_48, axiom,
% 0.44/0.82 (( ~( environment @ A ) ) |
% 0.44/0.82 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.44/0.82 ( subpopulations @ efficient_producers @ first_movers @ A @ B ))).
% 0.44/0.82 thf(zip_derived_cl15, plain,
% 0.44/0.82 (![X0 : $i, X1 : $i]:
% 0.44/0.82 (~ (environment @ X0)
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.44/0.82 | (subpopulations @ efficient_producers @ first_movers @ X0 @ X1))),
% 0.44/0.82 inference('cnf', [status(esa)], [mp_symmetry_of_subpopulations_48])).
% 0.44/0.82 thf(zip_derived_cl212, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 ( (subpopulations @ efficient_producers @ first_movers @ sk1 @ X0)
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk1 @ X0))),
% 0.44/0.82 inference('dp-resolution', [status(thm)],
% 0.44/0.82 [zip_derived_cl25, zip_derived_cl15])).
% 0.44/0.82 thf(zip_derived_cl25, plain, ( (environment @ sk1)),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.44/0.82 thf(mp1_high_growth_rates_33, axiom,
% 0.44/0.82 (( ~( environment @ A ) ) | ( ~( subpopulations @ B @ C @ A @ D ) ) |
% 0.44/0.82 ( ~( greater @ ( growth_rate @ C @ D ) @ ( growth_rate @ B @ D ) ) ) |
% 0.44/0.82 ( selection_favors @ C @ B @ D ))).
% 0.44/0.82 thf(zip_derived_cl0, plain,
% 0.44/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.44/0.82 (~ (environment @ X0)
% 0.44/0.82 | ~ (subpopulations @ X1 @ X2 @ X0 @ X3)
% 0.44/0.82 | ~ (greater @ (growth_rate @ X2 @ X3) @ (growth_rate @ X1 @ X3))
% 0.44/0.82 | (selection_favors @ X2 @ X1 @ X3))),
% 0.44/0.82 inference('cnf', [status(esa)], [mp1_high_growth_rates_33])).
% 0.44/0.82 thf(prove_t3_62, conjecture,
% 0.44/0.82 (selection_favors @ first_movers @ efficient_producers @ sk2)).
% 0.44/0.82 thf(zf_stmt_1, negated_conjecture,
% 0.44/0.82 (~( selection_favors @ first_movers @ efficient_producers @ sk2 )),
% 0.44/0.82 inference('cnf.neg', [status(esa)], [prove_t3_62])).
% 0.44/0.82 thf(zip_derived_cl29, plain,
% 0.44/0.82 (~ (selection_favors @ first_movers @ efficient_producers @ sk2)),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.44/0.82 thf(zip_derived_cl202, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 (~ (greater @ (growth_rate @ first_movers @ sk2) @
% 0.44/0.82 (growth_rate @ efficient_producers @ sk2))
% 0.44/0.82 | ~ (subpopulations @ efficient_producers @ first_movers @ X0 @ sk2)
% 0.44/0.82 | ~ (environment @ X0))),
% 0.44/0.82 inference('dp-resolution', [status(thm)],
% 0.44/0.82 [zip_derived_cl0, zip_derived_cl29])).
% 0.44/0.82 thf(zip_derived_cl219, plain,
% 0.44/0.82 ((~ (subpopulations @ efficient_producers @ first_movers @ sk1 @ sk2)
% 0.44/0.82 | ~ (greater @ (growth_rate @ first_movers @ sk2) @
% 0.44/0.82 (growth_rate @ efficient_producers @ sk2)))),
% 0.44/0.82 inference('dp-resolution', [status(thm)],
% 0.44/0.82 [zip_derived_cl25, zip_derived_cl202])).
% 0.44/0.82 thf(zip_derived_cl248, plain,
% 0.44/0.82 ((~ (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)
% 0.44/0.82 | ~ (greater @ (growth_rate @ first_movers @ sk2) @
% 0.44/0.82 (growth_rate @ efficient_producers @ sk2)))),
% 0.44/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl212, zip_derived_cl219])).
% 0.44/0.82 thf(zip_derived_cl25, plain, ( (environment @ sk1)),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.44/0.82 thf(mp_FM_and_EP_members_EP_appeared_49, axiom,
% 0.44/0.82 (( ~( environment @ A ) ) |
% 0.44/0.82 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.44/0.82 ( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) ))).
% 0.44/0.82 thf(zip_derived_cl16, plain,
% 0.44/0.82 (![X0 : $i, X1 : $i]:
% 0.44/0.82 (~ (environment @ X0)
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.44/0.82 | (greater_or_equal @ X1 @ (appear @ efficient_producers @ X0)))),
% 0.44/0.82 inference('cnf', [status(esa)], [mp_FM_and_EP_members_EP_appeared_49])).
% 0.44/0.82 thf(zip_derived_cl213, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 ( (greater_or_equal @ X0 @ (appear @ efficient_producers @ sk1))
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk1 @ X0))),
% 0.44/0.82 inference('dp-resolution', [status(thm)],
% 0.44/0.82 [zip_derived_cl25, zip_derived_cl16])).
% 0.44/0.82 thf(mp_greater_or_equal_50, axiom,
% 0.44/0.82 (( ~( greater_or_equal @ A @ B ) ) | ( greater @ A @ B ) |
% 0.44/0.82 ( ( A ) = ( B ) ))).
% 0.44/0.82 thf(zip_derived_cl17, plain,
% 0.44/0.82 (![X0 : $i, X1 : $i]:
% 0.44/0.82 (~ (greater_or_equal @ X0 @ X1) | (greater @ X0 @ X1) | ((X0) = (X1)))),
% 0.44/0.82 inference('cnf', [status(esa)], [mp_greater_or_equal_50])).
% 0.44/0.82 thf(zip_derived_cl231, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 (~ (subpopulations @ first_movers @ efficient_producers @ sk1 @ X0)
% 0.44/0.82 | (greater @ X0 @ (appear @ efficient_producers @ sk1))
% 0.44/0.82 | ((X0) = (appear @ efficient_producers @ sk1)))),
% 0.44/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl213, zip_derived_cl17])).
% 0.44/0.82 thf(zip_derived_cl25, plain, ( (environment @ sk1)),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.44/0.82 thf(mp_critical_time_points_46, axiom,
% 0.44/0.82 (( ~( environment @ A ) ) |
% 0.44/0.82 ( ~( in_environment @ A @ ( critical_point @ A ) ) ) |
% 0.44/0.82 ( ~( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) ) ) |
% 0.44/0.82 ( ~( greater @ ( critical_point @ A ) @ B ) ) | ( in_environment @ A @ B ))).
% 0.44/0.82 thf(zip_derived_cl13, plain,
% 0.44/0.82 (![X0 : $i, X1 : $i]:
% 0.44/0.82 (~ (environment @ X0)
% 0.44/0.82 | ~ (in_environment @ X0 @ (critical_point @ X0))
% 0.44/0.82 | ~ (greater_or_equal @ X1 @ (appear @ efficient_producers @ X0))
% 0.44/0.82 | ~ (greater @ (critical_point @ X0) @ X1)
% 0.44/0.82 | (in_environment @ X0 @ X1))),
% 0.44/0.82 inference('cnf', [status(esa)], [mp_critical_time_points_46])).
% 0.44/0.82 thf(zip_derived_cl210, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 ( (in_environment @ sk1 @ X0)
% 0.44/0.82 | ~ (greater @ (critical_point @ sk1) @ X0)
% 0.44/0.82 | ~ (greater_or_equal @ X0 @ (appear @ efficient_producers @ sk1))
% 0.44/0.82 | ~ (in_environment @ sk1 @ (critical_point @ sk1)))),
% 0.44/0.82 inference('dp-resolution', [status(thm)],
% 0.44/0.82 [zip_derived_cl25, zip_derived_cl13])).
% 0.44/0.82 thf(prove_t3_59, conjecture,
% 0.44/0.82 (~( in_environment @ sk1 @ ( critical_point @ sk1 ) ))).
% 0.44/0.82 thf(zf_stmt_2, negated_conjecture,
% 0.44/0.82 (in_environment @ sk1 @ ( critical_point @ sk1 )),
% 0.44/0.82 inference('cnf.neg', [status(esa)], [prove_t3_59])).
% 0.44/0.82 thf(zip_derived_cl26, plain,
% 0.44/0.82 ( (in_environment @ sk1 @ (critical_point @ sk1))),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.44/0.82 thf(zip_derived_cl222, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 ( (in_environment @ sk1 @ X0)
% 0.44/0.82 | ~ (greater @ (critical_point @ sk1) @ X0)
% 0.44/0.82 | ~ (greater_or_equal @ X0 @ (appear @ efficient_producers @ sk1)))),
% 0.44/0.82 inference('demod', [status(thm)], [zip_derived_cl210, zip_derived_cl26])).
% 0.44/0.82 thf(zip_derived_cl233, plain,
% 0.44/0.82 ((((critical_point @ sk1) = (appear @ efficient_producers @ sk1))
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk1 @
% 0.44/0.82 (critical_point @ sk1))
% 0.44/0.82 | (in_environment @ sk1 @ (appear @ efficient_producers @ sk1))
% 0.44/0.82 | ~ (greater_or_equal @ (appear @ efficient_producers @ sk1) @
% 0.44/0.82 (appear @ efficient_producers @ sk1)))),
% 0.44/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl231, zip_derived_cl222])).
% 0.44/0.82 thf(zip_derived_cl25, plain, ( (environment @ sk1)),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.44/0.82 thf(mp_critical_point_means_FM_and_EP_35, axiom,
% 0.44/0.82 (( ~( environment @ A ) ) |
% 0.44/0.82 ( ~( in_environment @ A @ ( critical_point @ A ) ) ) |
% 0.44/0.82 ( subpopulations @
% 0.44/0.82 first_movers @ efficient_producers @ A @ ( critical_point @ A ) ))).
% 0.44/0.82 thf(zip_derived_cl2, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 (~ (environment @ X0)
% 0.44/0.82 | ~ (in_environment @ X0 @ (critical_point @ X0))
% 0.44/0.82 | (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.44/0.82 (critical_point @ X0)))),
% 0.44/0.82 inference('cnf', [status(esa)], [mp_critical_point_means_FM_and_EP_35])).
% 0.44/0.82 thf(zip_derived_cl204, plain,
% 0.44/0.82 (( (subpopulations @ first_movers @ efficient_producers @ sk1 @
% 0.44/0.82 (critical_point @ sk1))
% 0.44/0.82 | ~ (in_environment @ sk1 @ (critical_point @ sk1)))),
% 0.44/0.82 inference('dp-resolution', [status(thm)],
% 0.44/0.82 [zip_derived_cl25, zip_derived_cl2])).
% 0.44/0.82 thf(zip_derived_cl26, plain,
% 0.44/0.82 ( (in_environment @ sk1 @ (critical_point @ sk1))),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.44/0.82 thf(zip_derived_cl221, plain,
% 0.44/0.82 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @
% 0.44/0.82 (critical_point @ sk1))),
% 0.44/0.82 inference('demod', [status(thm)], [zip_derived_cl204, zip_derived_cl26])).
% 0.44/0.82 thf(mp_greater_or_equal_52, axiom,
% 0.44/0.82 (( ( A ) != ( B ) ) | ( greater_or_equal @ A @ B ))).
% 0.44/0.82 thf(zip_derived_cl19, plain,
% 0.44/0.82 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | (greater_or_equal @ X1 @ X0))),
% 0.44/0.82 inference('cnf', [status(esa)], [mp_greater_or_equal_52])).
% 0.44/0.82 thf(zip_derived_cl220, plain, (![X0 : $i]: (greater_or_equal @ X0 @ X0)),
% 0.44/0.82 inference('eq_res', [status(thm)], [zip_derived_cl19])).
% 0.44/0.82 thf(zip_derived_cl234, plain,
% 0.44/0.82 ((((critical_point @ sk1) = (appear @ efficient_producers @ sk1))
% 0.44/0.82 | (in_environment @ sk1 @ (appear @ efficient_producers @ sk1)))),
% 0.44/0.82 inference('demod', [status(thm)],
% 0.44/0.82 [zip_derived_cl233, zip_derived_cl221, zip_derived_cl220])).
% 0.44/0.82 thf(zip_derived_cl25, plain, ( (environment @ sk1)),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.44/0.82 thf(mp_FM_and_EP_when_EP_appears_36, axiom,
% 0.44/0.82 (( ~( environment @ A ) ) |
% 0.44/0.82 ( ~( in_environment @ A @ ( appear @ efficient_producers @ A ) ) ) |
% 0.44/0.82 ( subpopulations @
% 0.44/0.82 first_movers @ efficient_producers @ A @
% 0.44/0.82 ( appear @ efficient_producers @ A ) ))).
% 0.44/0.82 thf(zip_derived_cl3, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 (~ (environment @ X0)
% 0.44/0.82 | ~ (in_environment @ X0 @ (appear @ efficient_producers @ X0))
% 0.44/0.82 | (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.44/0.82 (appear @ efficient_producers @ X0)))),
% 0.44/0.82 inference('cnf', [status(esa)], [mp_FM_and_EP_when_EP_appears_36])).
% 0.44/0.82 thf(zip_derived_cl205, plain,
% 0.44/0.82 (( (subpopulations @ first_movers @ efficient_producers @ sk1 @
% 0.44/0.82 (appear @ efficient_producers @ sk1))
% 0.44/0.82 | ~ (in_environment @ sk1 @ (appear @ efficient_producers @ sk1)))),
% 0.44/0.82 inference('dp-resolution', [status(thm)],
% 0.44/0.82 [zip_derived_cl25, zip_derived_cl3])).
% 0.44/0.82 thf(zip_derived_cl235, plain,
% 0.44/0.82 ((((critical_point @ sk1) = (appear @ efficient_producers @ sk1))
% 0.44/0.82 | (subpopulations @ first_movers @ efficient_producers @ sk1 @
% 0.44/0.82 (appear @ efficient_producers @ sk1)))),
% 0.44/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl234, zip_derived_cl205])).
% 0.44/0.82 thf(prove_t3_60, conjecture,
% 0.44/0.82 (~( greater_or_equal @ sk2 @ ( appear @ efficient_producers @ sk1 ) ))).
% 0.44/0.82 thf(zf_stmt_3, negated_conjecture,
% 0.44/0.82 (greater_or_equal @ sk2 @ ( appear @ efficient_producers @ sk1 )),
% 0.44/0.82 inference('cnf.neg', [status(esa)], [prove_t3_60])).
% 0.44/0.82 thf(zip_derived_cl27, plain,
% 0.44/0.82 ( (greater_or_equal @ sk2 @ (appear @ efficient_producers @ sk1))),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.44/0.82 thf(prove_t3_61, conjecture, (~( greater @ ( critical_point @ sk1 ) @ sk2 ))).
% 0.44/0.82 thf(zf_stmt_4, negated_conjecture,
% 0.44/0.82 (greater @ ( critical_point @ sk1 ) @ sk2),
% 0.44/0.82 inference('cnf.neg', [status(esa)], [prove_t3_61])).
% 0.44/0.82 thf(zip_derived_cl28, plain, ( (greater @ (critical_point @ sk1) @ sk2)),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.44/0.82 thf(mp_greater_or_equal_51, axiom,
% 0.44/0.82 (( ~( greater @ A @ B ) ) | ( greater_or_equal @ A @ B ))).
% 0.44/0.82 thf(zip_derived_cl18, plain,
% 0.44/0.82 (![X0 : $i, X1 : $i]:
% 0.44/0.82 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 0.44/0.82 inference('cnf', [status(esa)], [mp_greater_or_equal_51])).
% 0.44/0.82 thf(zip_derived_cl221, plain,
% 0.44/0.82 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @
% 0.44/0.82 (critical_point @ sk1))),
% 0.44/0.82 inference('demod', [status(thm)], [zip_derived_cl204, zip_derived_cl26])).
% 0.44/0.82 thf(zip_derived_cl25, plain, ( (environment @ sk1)),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.44/0.82 thf(a10_56, axiom,
% 0.44/0.82 (( ~( environment @ A ) ) |
% 0.44/0.82 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.44/0.82 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ C ) ) |
% 0.44/0.82 ( ~( greater_or_equal @ D @ B ) ) | ( ~( greater_or_equal @ C @ D ) ) |
% 0.44/0.82 ( subpopulations @ first_movers @ efficient_producers @ A @ D ))).
% 0.44/0.82 thf(zip_derived_cl23, plain,
% 0.44/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.44/0.82 (~ (environment @ X0)
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X2)
% 0.44/0.82 | ~ (greater_or_equal @ X3 @ X1)
% 0.44/0.82 | ~ (greater_or_equal @ X2 @ X3)
% 0.44/0.82 | (subpopulations @ first_movers @ efficient_producers @ X0 @ X3))),
% 0.44/0.82 inference('cnf', [status(esa)], [a10_56])).
% 0.44/0.82 thf(zip_derived_cl217, plain,
% 0.44/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.44/0.82 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ X2)
% 0.44/0.82 | ~ (greater_or_equal @ X1 @ X2)
% 0.44/0.82 | ~ (greater_or_equal @ X2 @ X0)
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk1 @ X1)
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk1 @ X0))),
% 0.44/0.82 inference('dp-resolution', [status(thm)],
% 0.44/0.82 [zip_derived_cl25, zip_derived_cl23])).
% 0.44/0.82 thf(zip_derived_cl282, plain,
% 0.44/0.82 (![X0 : $i, X1 : $i]:
% 0.44/0.82 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ X0)
% 0.44/0.82 | ~ (greater_or_equal @ (critical_point @ sk1) @ X0)
% 0.44/0.82 | ~ (greater_or_equal @ X0 @ X1)
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk1 @ X1))),
% 0.44/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl221, zip_derived_cl217])).
% 0.44/0.82 thf(zip_derived_cl316, plain,
% 0.44/0.82 (![X0 : $i, X1 : $i]:
% 0.44/0.82 (~ (greater @ (critical_point @ sk1) @ X0)
% 0.44/0.82 | (subpopulations @ first_movers @ efficient_producers @ sk1 @ X0)
% 0.44/0.82 | ~ (greater_or_equal @ X0 @ X1)
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk1 @ X1))),
% 0.44/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl282])).
% 0.44/0.82 thf(zip_derived_cl344, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)
% 0.44/0.82 | ~ (greater_or_equal @ sk2 @ X0)
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk1 @ X0))),
% 0.44/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl316])).
% 0.44/0.82 thf(zip_derived_cl396, plain,
% 0.44/0.82 (( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk1 @
% 0.44/0.82 (appear @ efficient_producers @ sk1)))),
% 0.44/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl344])).
% 0.44/0.82 thf(zip_derived_cl397, plain,
% 0.44/0.82 ((((critical_point @ sk1) = (appear @ efficient_producers @ sk1))
% 0.44/0.82 | (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2))),
% 0.44/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl396])).
% 0.44/0.82 thf(zip_derived_cl396, plain,
% 0.44/0.82 (( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk1 @
% 0.44/0.82 (appear @ efficient_producers @ sk1)))),
% 0.44/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl344])).
% 0.44/0.82 thf(zip_derived_cl420, plain,
% 0.44/0.82 (( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)
% 0.44/0.82 | (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk1 @
% 0.44/0.82 (critical_point @ sk1)))),
% 0.44/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl397, zip_derived_cl396])).
% 0.44/0.82 thf(zip_derived_cl221, plain,
% 0.44/0.82 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @
% 0.44/0.82 (critical_point @ sk1))),
% 0.44/0.82 inference('demod', [status(thm)], [zip_derived_cl204, zip_derived_cl26])).
% 0.44/0.82 thf(zip_derived_cl428, plain,
% 0.44/0.82 (( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)
% 0.44/0.82 | (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2))),
% 0.44/0.82 inference('demod', [status(thm)], [zip_derived_cl420, zip_derived_cl221])).
% 0.44/0.82 thf(zip_derived_cl429, plain,
% 0.44/0.82 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)),
% 0.44/0.82 inference('simplify', [status(thm)], [zip_derived_cl428])).
% 0.44/0.82 thf(zip_derived_cl430, plain,
% 0.44/0.82 (~ (greater @ (growth_rate @ first_movers @ sk2) @
% 0.44/0.82 (growth_rate @ efficient_producers @ sk2))),
% 0.44/0.82 inference('demod', [status(thm)], [zip_derived_cl248, zip_derived_cl429])).
% 0.44/0.82 thf(zip_derived_cl25, plain, ( (environment @ sk1)),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.44/0.82 thf(a12_57, axiom,
% 0.44/0.82 (( ~( environment @ A ) ) |
% 0.44/0.82 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.44/0.82 ( decreases @
% 0.44/0.82 ( difference @
% 0.44/0.82 ( founding_rate @ first_movers @ B ) @
% 0.44/0.82 ( founding_rate @ efficient_producers @ B ) ) ))).
% 0.44/0.82 thf(zip_derived_cl24, plain,
% 0.44/0.82 (![X0 : $i, X1 : $i]:
% 0.44/0.82 (~ (environment @ X0)
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.44/0.82 | (decreases @
% 0.44/0.82 (difference @ (founding_rate @ first_movers @ X1) @
% 0.44/0.82 (founding_rate @ efficient_producers @ X1))))),
% 0.44/0.82 inference('cnf', [status(esa)], [a12_57])).
% 0.44/0.82 thf(zip_derived_cl218, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 ( (decreases @
% 0.44/0.82 (difference @ (founding_rate @ first_movers @ X0) @
% 0.44/0.82 (founding_rate @ efficient_producers @ X0)))
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk1 @ X0))),
% 0.44/0.82 inference('dp-resolution', [status(thm)],
% 0.44/0.82 [zip_derived_cl25, zip_derived_cl24])).
% 0.44/0.82 thf(mp_difference_between_founding_rates_37, axiom,
% 0.44/0.82 (( ~( decreases @
% 0.44/0.82 ( difference @
% 0.44/0.82 ( founding_rate @ first_movers @ A ) @
% 0.44/0.82 ( founding_rate @ efficient_producers @ A ) ) ) ) |
% 0.44/0.82 ( decreases @
% 0.44/0.82 ( difference @
% 0.44/0.82 ( disbanding_rate @ first_movers @ A ) @
% 0.44/0.82 ( disbanding_rate @ efficient_producers @ A ) ) ) |
% 0.44/0.82 ( decreases @
% 0.44/0.82 ( difference @
% 0.44/0.82 ( growth_rate @ first_movers @ A ) @
% 0.44/0.82 ( growth_rate @ efficient_producers @ A ) ) ))).
% 0.44/0.82 thf(zip_derived_cl4, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 (~ (decreases @
% 0.44/0.82 (difference @ (founding_rate @ first_movers @ X0) @
% 0.44/0.82 (founding_rate @ efficient_producers @ X0)))
% 0.44/0.82 | (decreases @
% 0.44/0.82 (difference @ (disbanding_rate @ first_movers @ X0) @
% 0.44/0.82 (disbanding_rate @ efficient_producers @ X0)))
% 0.44/0.82 | (decreases @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X0) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X0))))),
% 0.44/0.82 inference('cnf', [status(esa)], [mp_difference_between_founding_rates_37])).
% 0.44/0.82 thf(zip_derived_cl290, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 (~ (subpopulations @ first_movers @ efficient_producers @ sk1 @ X0)
% 0.44/0.82 | (decreases @
% 0.44/0.82 (difference @ (disbanding_rate @ first_movers @ X0) @
% 0.44/0.82 (disbanding_rate @ efficient_producers @ X0)))
% 0.44/0.82 | (decreases @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X0) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X0))))),
% 0.44/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl218, zip_derived_cl4])).
% 0.44/0.82 thf(zip_derived_cl25, plain, ( (environment @ sk1)),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.44/0.82 thf(l3_34, axiom,
% 0.44/0.82 (( ~( environment @ A ) ) |
% 0.44/0.82 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.44/0.82 ( ~( decreases @
% 0.44/0.82 ( difference @
% 0.44/0.82 ( disbanding_rate @ first_movers @ B ) @
% 0.44/0.82 ( disbanding_rate @ efficient_producers @ B ) ) ) ))).
% 0.44/0.82 thf(zip_derived_cl1, plain,
% 0.44/0.82 (![X0 : $i, X1 : $i]:
% 0.44/0.82 (~ (environment @ X0)
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.44/0.82 | ~ (decreases @
% 0.44/0.82 (difference @ (disbanding_rate @ first_movers @ X1) @
% 0.44/0.82 (disbanding_rate @ efficient_producers @ X1))))),
% 0.44/0.82 inference('cnf', [status(esa)], [l3_34])).
% 0.44/0.82 thf(zip_derived_cl203, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 (~ (decreases @
% 0.44/0.82 (difference @ (disbanding_rate @ first_movers @ X0) @
% 0.44/0.82 (disbanding_rate @ efficient_producers @ X0)))
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk1 @ X0))),
% 0.44/0.82 inference('dp-resolution', [status(thm)],
% 0.44/0.82 [zip_derived_cl25, zip_derived_cl1])).
% 0.44/0.82 thf(zip_derived_cl295, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 ( (decreases @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X0) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X0)))
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk1 @ X0))),
% 0.44/0.82 inference('clc', [status(thm)], [zip_derived_cl290, zip_derived_cl203])).
% 0.44/0.82 thf(zip_derived_cl28, plain, ( (greater @ (critical_point @ sk1) @ sk2)),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.44/0.82 thf(zip_derived_cl25, plain, ( (environment @ sk1)),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.44/0.82 thf(mp_relationship_of_growth_rates_53, axiom,
% 0.44/0.82 (( ~( environment @ A ) ) |
% 0.44/0.82 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.44/0.82 ( greater @
% 0.44/0.82 zero @
% 0.44/0.82 ( difference @
% 0.44/0.82 ( growth_rate @ first_movers @ B ) @
% 0.44/0.82 ( growth_rate @ efficient_producers @ B ) ) ) |
% 0.44/0.82 ( greater_or_equal @
% 0.44/0.82 ( difference @
% 0.44/0.82 ( growth_rate @ first_movers @ B ) @
% 0.44/0.82 ( growth_rate @ efficient_producers @ B ) ) @
% 0.44/0.82 zero ))).
% 0.44/0.82 thf(zip_derived_cl20, plain,
% 0.44/0.82 (![X0 : $i, X1 : $i]:
% 0.44/0.82 (~ (environment @ X0)
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.44/0.82 | (greater @ zero @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X1) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X1)))
% 0.44/0.82 | (greater_or_equal @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X1) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X1)) @
% 0.44/0.82 zero))),
% 0.44/0.82 inference('cnf', [status(esa)], [mp_relationship_of_growth_rates_53])).
% 0.44/0.82 thf(zip_derived_cl214, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 ( (greater_or_equal @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X0) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X0)) @
% 0.44/0.82 zero)
% 0.44/0.82 | (greater @ zero @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X0) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X0)))
% 0.44/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk1 @ X0))),
% 0.44/0.82 inference('dp-resolution', [status(thm)],
% 0.44/0.82 [zip_derived_cl25, zip_derived_cl20])).
% 0.44/0.82 thf(zip_derived_cl26, plain,
% 0.44/0.82 ( (in_environment @ sk1 @ (critical_point @ sk1))),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.44/0.82 thf(zip_derived_cl25, plain, ( (environment @ sk1)),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.44/0.82 thf(mp_decreasing_function_38, axiom,
% 0.44/0.82 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.44/0.82 ( ~( greater_or_equal @
% 0.44/0.82 ( difference @
% 0.44/0.82 ( growth_rate @ first_movers @ B ) @
% 0.44/0.82 ( growth_rate @ efficient_producers @ B ) ) @
% 0.44/0.82 zero ) ) |
% 0.44/0.82 ( ~( greater_or_equal @ C @ ( appear @ efficient_producers @ A ) ) ) |
% 0.44/0.82 ( ~( greater @ B @ C ) ) |
% 0.44/0.82 ( ~( decreases @
% 0.44/0.82 ( difference @
% 0.44/0.82 ( growth_rate @ first_movers @ C ) @
% 0.44/0.82 ( growth_rate @ efficient_producers @ C ) ) ) ) |
% 0.44/0.82 ( greater @
% 0.44/0.82 ( difference @
% 0.44/0.82 ( growth_rate @ first_movers @ C ) @
% 0.44/0.82 ( growth_rate @ efficient_producers @ C ) ) @
% 0.44/0.82 zero ))).
% 0.44/0.82 thf(zip_derived_cl5, plain,
% 0.44/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.44/0.82 (~ (environment @ X0)
% 0.44/0.82 | ~ (in_environment @ X0 @ X1)
% 0.44/0.82 | ~ (greater_or_equal @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X1) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X1)) @
% 0.44/0.82 zero)
% 0.44/0.82 | ~ (greater_or_equal @ X2 @ (appear @ efficient_producers @ X0))
% 0.44/0.82 | ~ (greater @ X1 @ X2)
% 0.44/0.82 | ~ (decreases @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X2) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X2)))
% 0.44/0.82 | (greater @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X2) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X2)) @
% 0.44/0.82 zero))),
% 0.44/0.82 inference('cnf', [status(esa)], [mp_decreasing_function_38])).
% 0.44/0.82 thf(zip_derived_cl206, plain,
% 0.44/0.82 (![X0 : $i, X1 : $i]:
% 0.44/0.82 ( (greater @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X1) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X1)) @
% 0.44/0.82 zero)
% 0.44/0.82 | ~ (decreases @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X1) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X1)))
% 0.44/0.82 | ~ (greater @ X0 @ X1)
% 0.44/0.82 | ~ (greater_or_equal @ X1 @ (appear @ efficient_producers @ sk1))
% 0.44/0.82 | ~ (greater_or_equal @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X0) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X0)) @
% 0.44/0.82 zero)
% 0.44/0.82 | ~ (in_environment @ sk1 @ X0))),
% 0.44/0.82 inference('dp-resolution', [status(thm)],
% 0.44/0.82 [zip_derived_cl25, zip_derived_cl5])).
% 0.44/0.82 thf(zip_derived_cl244, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 ( (greater @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X0) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X0)) @
% 0.44/0.82 zero)
% 0.44/0.82 | ~ (decreases @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X0) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X0)))
% 0.44/0.82 | ~ (greater @ (critical_point @ sk1) @ X0)
% 0.44/0.82 | ~ (greater_or_equal @ X0 @ (appear @ efficient_producers @ sk1))
% 0.44/0.82 | ~ (greater_or_equal @
% 0.44/0.82 (difference @
% 0.44/0.82 (growth_rate @ first_movers @ (critical_point @ sk1)) @
% 0.44/0.82 (growth_rate @ efficient_producers @ (critical_point @ sk1))) @
% 0.44/0.82 zero))),
% 0.44/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl206])).
% 0.44/0.82 thf(zip_derived_cl324, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 (~ (subpopulations @ first_movers @ efficient_producers @ sk1 @
% 0.44/0.82 (critical_point @ sk1))
% 0.44/0.82 | (greater @ zero @
% 0.44/0.82 (difference @
% 0.44/0.82 (growth_rate @ first_movers @ (critical_point @ sk1)) @
% 0.44/0.82 (growth_rate @ efficient_producers @ (critical_point @ sk1))))
% 0.44/0.82 | (greater @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X0) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X0)) @
% 0.44/0.82 zero)
% 0.44/0.82 | ~ (decreases @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X0) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X0)))
% 0.44/0.82 | ~ (greater @ (critical_point @ sk1) @ X0)
% 0.44/0.82 | ~ (greater_or_equal @ X0 @ (appear @ efficient_producers @ sk1)))),
% 0.44/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl214, zip_derived_cl244])).
% 0.44/0.82 thf(zip_derived_cl221, plain,
% 0.44/0.82 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @
% 0.44/0.82 (critical_point @ sk1))),
% 0.44/0.82 inference('demod', [status(thm)], [zip_derived_cl204, zip_derived_cl26])).
% 0.44/0.82 thf(zip_derived_cl325, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 ( (greater @ zero @
% 0.44/0.82 (difference @
% 0.44/0.82 (growth_rate @ first_movers @ (critical_point @ sk1)) @
% 0.44/0.82 (growth_rate @ efficient_producers @ (critical_point @ sk1))))
% 0.44/0.82 | (greater @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X0) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X0)) @
% 0.44/0.82 zero)
% 0.44/0.82 | ~ (decreases @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X0) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X0)))
% 0.44/0.82 | ~ (greater @ (critical_point @ sk1) @ X0)
% 0.44/0.82 | ~ (greater_or_equal @ X0 @ (appear @ efficient_producers @ sk1)))),
% 0.44/0.82 inference('demod', [status(thm)], [zip_derived_cl324, zip_derived_cl221])).
% 0.44/0.82 thf(zip_derived_cl508, plain,
% 0.44/0.82 (( (greater @ zero @
% 0.44/0.82 (difference @
% 0.44/0.82 (growth_rate @ first_movers @ (critical_point @ sk1)) @
% 0.44/0.82 (growth_rate @ efficient_producers @ (critical_point @ sk1))))
% 0.44/0.82 | (greater @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ sk2) @
% 0.44/0.82 (growth_rate @ efficient_producers @ sk2)) @
% 0.44/0.82 zero)
% 0.44/0.82 | ~ (decreases @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ sk2) @
% 0.44/0.82 (growth_rate @ efficient_producers @ sk2)))
% 0.44/0.82 | ~ (greater_or_equal @ sk2 @ (appear @ efficient_producers @ sk1)))),
% 0.44/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl325])).
% 0.44/0.82 thf(zip_derived_cl27, plain,
% 0.44/0.82 ( (greater_or_equal @ sk2 @ (appear @ efficient_producers @ sk1))),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.44/0.82 thf(zip_derived_cl510, plain,
% 0.44/0.82 (( (greater @ zero @
% 0.44/0.82 (difference @
% 0.44/0.82 (growth_rate @ first_movers @ (critical_point @ sk1)) @
% 0.44/0.82 (growth_rate @ efficient_producers @ (critical_point @ sk1))))
% 0.44/0.82 | (greater @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ sk2) @
% 0.44/0.82 (growth_rate @ efficient_producers @ sk2)) @
% 0.44/0.82 zero)
% 0.44/0.82 | ~ (decreases @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ sk2) @
% 0.44/0.82 (growth_rate @ efficient_producers @ sk2))))),
% 0.44/0.82 inference('demod', [status(thm)], [zip_derived_cl508, zip_derived_cl27])).
% 0.44/0.82 thf(zip_derived_cl516, plain,
% 0.44/0.82 ((~ (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)
% 0.44/0.82 | (greater @ zero @
% 0.44/0.82 (difference @
% 0.44/0.82 (growth_rate @ first_movers @ (critical_point @ sk1)) @
% 0.44/0.82 (growth_rate @ efficient_producers @ (critical_point @ sk1))))
% 0.44/0.82 | (greater @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ sk2) @
% 0.44/0.82 (growth_rate @ efficient_producers @ sk2)) @
% 0.44/0.82 zero))),
% 0.44/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl295, zip_derived_cl510])).
% 0.44/0.82 thf(zip_derived_cl429, plain,
% 0.44/0.82 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)),
% 0.44/0.82 inference('simplify', [status(thm)], [zip_derived_cl428])).
% 0.44/0.82 thf(zip_derived_cl517, plain,
% 0.44/0.82 (( (greater @ zero @
% 0.44/0.82 (difference @
% 0.44/0.82 (growth_rate @ first_movers @ (critical_point @ sk1)) @
% 0.44/0.82 (growth_rate @ efficient_producers @ (critical_point @ sk1))))
% 0.44/0.82 | (greater @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ sk2) @
% 0.44/0.82 (growth_rate @ efficient_producers @ sk2)) @
% 0.44/0.82 zero))),
% 0.44/0.82 inference('demod', [status(thm)], [zip_derived_cl516, zip_derived_cl429])).
% 0.44/0.82 thf(mp_negative_growth_rate_difference_39, axiom,
% 0.44/0.82 (( ~( greater @
% 0.44/0.82 zero @
% 0.44/0.82 ( difference @
% 0.44/0.82 ( growth_rate @ first_movers @ A ) @
% 0.44/0.82 ( growth_rate @ efficient_producers @ A ) ) ) ) |
% 0.44/0.82 ( greater @
% 0.44/0.82 ( growth_rate @ efficient_producers @ A ) @
% 0.44/0.82 ( growth_rate @ first_movers @ A ) ))).
% 0.44/0.82 thf(zip_derived_cl6, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 (~ (greater @ zero @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X0) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X0)))
% 0.44/0.82 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.44/0.82 (growth_rate @ first_movers @ X0)))),
% 0.44/0.82 inference('cnf', [status(esa)], [mp_negative_growth_rate_difference_39])).
% 0.44/0.82 thf(zip_derived_cl531, plain,
% 0.44/0.82 (( (greater @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ sk2) @
% 0.44/0.82 (growth_rate @ efficient_producers @ sk2)) @
% 0.44/0.82 zero)
% 0.44/0.82 | (greater @
% 0.44/0.82 (growth_rate @ efficient_producers @ (critical_point @ sk1)) @
% 0.44/0.82 (growth_rate @ first_movers @ (critical_point @ sk1))))),
% 0.44/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl517, zip_derived_cl6])).
% 0.44/0.82 thf(zip_derived_cl25, plain, ( (environment @ sk1)),
% 0.44/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.44/0.82 thf(d1_54, axiom,
% 0.44/0.82 (( ~( environment @ A ) ) | ( ( B ) != ( critical_point @ A ) ) |
% 0.44/0.82 ( ~( greater @
% 0.44/0.82 ( growth_rate @ efficient_producers @ B ) @
% 0.44/0.82 ( growth_rate @ first_movers @ B ) ) ))).
% 0.44/0.82 thf(zip_derived_cl21, plain,
% 0.44/0.82 (![X0 : $i, X1 : $i]:
% 0.44/0.82 (~ (environment @ X0)
% 0.44/0.82 | ((X1) != (critical_point @ X0))
% 0.44/0.82 | ~ (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.44/0.82 (growth_rate @ first_movers @ X1)))),
% 0.44/0.82 inference('cnf', [status(esa)], [d1_54])).
% 0.44/0.82 thf(zip_derived_cl215, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 (~ (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.44/0.82 (growth_rate @ first_movers @ X0))
% 0.44/0.82 | ((X0) != (critical_point @ sk1)))),
% 0.44/0.82 inference('dp-resolution', [status(thm)],
% 0.44/0.82 [zip_derived_cl25, zip_derived_cl21])).
% 0.44/0.82 thf(zip_derived_cl226, plain,
% 0.44/0.82 (~ (greater @
% 0.44/0.82 (growth_rate @ efficient_producers @ (critical_point @ sk1)) @
% 0.44/0.82 (growth_rate @ first_movers @ (critical_point @ sk1)))),
% 0.44/0.82 inference('eq_res', [status(thm)], [zip_derived_cl215])).
% 0.44/0.82 thf(zip_derived_cl557, plain,
% 0.44/0.82 ( (greater @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ sk2) @
% 0.44/0.82 (growth_rate @ efficient_producers @ sk2)) @
% 0.44/0.82 zero)),
% 0.44/0.82 inference('clc', [status(thm)], [zip_derived_cl531, zip_derived_cl226])).
% 0.44/0.82 thf(mp_positive_growth_rate_difference_41, axiom,
% 0.44/0.82 (( ~( greater @
% 0.44/0.82 ( difference @
% 0.44/0.82 ( growth_rate @ first_movers @ A ) @
% 0.44/0.82 ( growth_rate @ efficient_producers @ A ) ) @
% 0.44/0.82 zero ) ) |
% 0.44/0.82 ( greater @
% 0.44/0.82 ( growth_rate @ first_movers @ A ) @
% 0.44/0.82 ( growth_rate @ efficient_producers @ A ) ))).
% 0.44/0.82 thf(zip_derived_cl8, plain,
% 0.44/0.82 (![X0 : $i]:
% 0.44/0.82 (~ (greater @
% 0.44/0.82 (difference @ (growth_rate @ first_movers @ X0) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X0)) @
% 0.44/0.82 zero)
% 0.44/0.82 | (greater @ (growth_rate @ first_movers @ X0) @
% 0.44/0.82 (growth_rate @ efficient_producers @ X0)))),
% 0.44/0.82 inference('cnf', [status(esa)], [mp_positive_growth_rate_difference_41])).
% 0.44/0.82 thf(zip_derived_cl558, plain,
% 0.44/0.82 ( (greater @ (growth_rate @ first_movers @ sk2) @
% 0.44/0.82 (growth_rate @ efficient_producers @ sk2))),
% 0.44/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl557, zip_derived_cl8])).
% 0.44/0.82 thf(zip_derived_cl564, plain, ($false),
% 0.44/0.82 inference('demod', [status(thm)], [zip_derived_cl430, zip_derived_cl558])).
% 0.44/0.82
% 0.44/0.82 % SZS output end Refutation
% 0.44/0.82
% 0.44/0.82
% 0.44/0.82 % Terminating...
% 0.44/0.85 % Runner terminated.
% 0.44/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------