%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT023-2 : 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.g1bJ97eGB0 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 06:24:48 AM UTC 2026
% Result : Unsatisfiable 0.50s 0.81s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT023-2 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.g1bJ97eGB0 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 12:08:00 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
% 0.10/0.37 % Number of cores: 8
% 0.10/0.38 % Python version: Python 3.12.3
% 0.10/0.38 % Running in FO mode
% 0.45/0.66 % Total configuration time : 435
% 0.45/0.66 % Estimated wc time : 1092
% 0.45/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.81 % Solved by fo/fo6_bce.sh.
% 0.50/0.81 % BCE start: 17
% 0.50/0.81 % BCE eliminated: 0
% 0.50/0.81 % PE start: 17
% 0.50/0.81 logic: eq
% 0.50/0.81 % PE eliminated: 2
% 0.50/0.81 % done 49 iterations in 0.050s
% 0.50/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.81 % SZS output start Refutation
% 0.50/0.81 thf(critical_point_type, type, critical_point: $i > $i).
% 0.50/0.81 thf(in_environment_type, type, in_environment: $i > $i > $o).
% 0.50/0.81 thf(subpopulations_type, type, subpopulations: $i > $i > $i > $i > $o).
% 0.50/0.81 thf(sk1_type, type, sk1: $i > $i > $i).
% 0.50/0.81 thf(growth_rate_type, type, growth_rate: $i > $i > $i).
% 0.50/0.81 thf(first_movers_type, type, first_movers: $i).
% 0.50/0.81 thf(environment_type, type, environment: $i > $o).
% 0.50/0.81 thf(sk5_type, type, sk5: $i).
% 0.50/0.81 thf(stable_type, type, stable: $i > $o).
% 0.50/0.81 thf(sk3_type, type, sk3: $i > $i > $i).
% 0.50/0.81 thf(greater_type, type, greater: $i > $i > $o).
% 0.50/0.81 thf(efficient_producers_type, type, efficient_producers: $i).
% 0.50/0.81 thf(sk2_type, type, sk2: $i > $i).
% 0.50/0.81 thf(greater_or_equal_type, type, greater_or_equal: $i > $i > $o).
% 0.50/0.81 thf(sk4_type, type, sk4: $i > $i).
% 0.50/0.81 thf(prove_l5_35, conjecture,
% 0.50/0.81 (in_environment @ sk5 @ ( critical_point @ sk5 ))).
% 0.50/0.81 thf(zf_stmt_0, negated_conjecture,
% 0.50/0.81 (~( in_environment @ sk5 @ ( critical_point @ sk5 ) )),
% 0.50/0.81 inference('cnf.neg', [status(esa)], [prove_l5_35])).
% 0.50/0.81 thf(zip_derived_cl16, plain,
% 0.50/0.81 (~ (in_environment @ sk5 @ (critical_point @ sk5))),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.81 thf(prove_l5_34, conjecture, (~( stable @ sk5 ))).
% 0.50/0.81 thf(zf_stmt_1, negated_conjecture, (stable @ sk5),
% 0.50/0.81 inference('cnf.neg', [status(esa)], [prove_l5_34])).
% 0.50/0.81 thf(zip_derived_cl15, plain, ( (stable @ sk5)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.81 thf(l1_31, axiom,
% 0.50/0.81 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.50/0.81 ( in_environment @ A @ ( sk4 @ A ) ))).
% 0.50/0.81 thf(zip_derived_cl12, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 (~ (environment @ X0)
% 0.50/0.81 | ~ (stable @ X0)
% 0.50/0.81 | (in_environment @ X0 @ (sk4 @ X0)))),
% 0.50/0.81 inference('cnf', [status(esa)], [l1_31])).
% 0.50/0.81 thf(zip_derived_cl147, plain,
% 0.50/0.81 (( (in_environment @ sk5 @ (sk4 @ sk5)) | ~ (environment @ sk5))),
% 0.50/0.81 inference('dp-resolution', [status(thm)],
% 0.50/0.81 [zip_derived_cl15, zip_derived_cl12])).
% 0.50/0.81 thf(prove_l5_33, conjecture, (~( environment @ sk5 ))).
% 0.50/0.81 thf(zf_stmt_2, negated_conjecture, (environment @ sk5),
% 0.50/0.81 inference('cnf.neg', [status(esa)], [prove_l5_33])).
% 0.50/0.81 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.81 thf(zip_derived_cl158, plain, ( (in_environment @ sk5 @ (sk4 @ sk5))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl14])).
% 0.50/0.81 thf(mp_earliest_time_growth_rate_exceeds_19, axiom,
% 0.50/0.81 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.50/0.81 ( subpopulations @
% 0.50/0.81 first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) ) |
% 0.50/0.81 ( in_environment @ A @ ( sk2 @ A ) ))).
% 0.50/0.81 thf(zip_derived_cl0, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i]:
% 0.50/0.81 (~ (environment @ X0)
% 0.50/0.81 | ~ (in_environment @ X0 @ X1)
% 0.50/0.81 | (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.50/0.81 (sk1 @ X1 @ X0))
% 0.50/0.81 | (in_environment @ X0 @ (sk2 @ X0)))),
% 0.50/0.81 inference('cnf', [status(esa)], [mp_earliest_time_growth_rate_exceeds_19])).
% 0.50/0.81 thf(zip_derived_cl158, plain, ( (in_environment @ sk5 @ (sk4 @ sk5))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl14])).
% 0.50/0.81 thf(mp_earliest_time_growth_rate_exceeds_20, axiom,
% 0.50/0.81 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.50/0.81 ( greater_or_equal @ ( sk1 @ B @ A ) @ B ) |
% 0.50/0.81 ( in_environment @ A @ ( sk2 @ A ) ))).
% 0.50/0.81 thf(zip_derived_cl1, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i]:
% 0.50/0.81 (~ (environment @ X0)
% 0.50/0.81 | ~ (in_environment @ X0 @ X1)
% 0.50/0.81 | (greater_or_equal @ (sk1 @ X1 @ X0) @ X1)
% 0.50/0.81 | (in_environment @ X0 @ (sk2 @ X0)))),
% 0.50/0.81 inference('cnf', [status(esa)], [mp_earliest_time_growth_rate_exceeds_20])).
% 0.50/0.81 thf(zip_derived_cl15, plain, ( (stable @ sk5)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.81 thf(l1_32, axiom,
% 0.50/0.81 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.50/0.81 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.50/0.81 ( ~( greater_or_equal @ B @ ( sk4 @ A ) ) ) |
% 0.50/0.81 ( greater @
% 0.50/0.81 ( growth_rate @ efficient_producers @ B ) @
% 0.50/0.81 ( growth_rate @ first_movers @ B ) ))).
% 0.50/0.81 thf(zip_derived_cl13, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i]:
% 0.50/0.81 (~ (environment @ X0)
% 0.50/0.81 | ~ (stable @ X0)
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.50/0.81 | ~ (greater_or_equal @ X1 @ (sk4 @ X0))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.50/0.81 (growth_rate @ first_movers @ X1)))),
% 0.50/0.81 inference('cnf', [status(esa)], [l1_32])).
% 0.50/0.81 thf(zip_derived_cl148, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.81 (growth_rate @ first_movers @ X0))
% 0.50/0.81 | ~ (greater_or_equal @ X0 @ (sk4 @ sk5))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.81 | ~ (environment @ sk5))),
% 0.50/0.81 inference('dp-resolution', [status(thm)],
% 0.50/0.81 [zip_derived_cl15, zip_derived_cl13])).
% 0.50/0.81 thf(zip_derived_cl151, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.81 (((sk1 @ X1 @ X0) != (X2))
% 0.50/0.81 | ((X1) != (sk4 @ sk5))
% 0.50/0.81 | (in_environment @ X0 @ (sk2 @ X0))
% 0.50/0.81 | ~ (in_environment @ X0 @ X1)
% 0.50/0.81 | ~ (environment @ X0)
% 0.50/0.81 | ~ (environment @ sk5)
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X2)
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ X2) @
% 0.50/0.81 (growth_rate @ first_movers @ X2)))),
% 0.50/0.81 inference('dp-resolution', [status(thm)],
% 0.50/0.81 [zip_derived_cl1, zip_derived_cl148])).
% 0.50/0.81 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.81 thf(zip_derived_cl161, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.81 (((sk1 @ X1 @ X0) != (X2))
% 0.50/0.81 | ((X1) != (sk4 @ sk5))
% 0.50/0.81 | (in_environment @ X0 @ (sk2 @ X0))
% 0.50/0.81 | ~ (in_environment @ X0 @ X1)
% 0.50/0.81 | ~ (environment @ X0)
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X2)
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ X2) @
% 0.50/0.81 (growth_rate @ first_movers @ X2)))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl151, zip_derived_cl14])).
% 0.50/0.81 thf(zip_derived_cl162, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i]:
% 0.50/0.81 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.81 (growth_rate @ first_movers @ X0))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.81 | ~ (environment @ X1)
% 0.50/0.81 | ~ (in_environment @ X1 @ (sk4 @ sk5))
% 0.50/0.81 | (in_environment @ X1 @ (sk2 @ X1))
% 0.50/0.81 | ((sk1 @ (sk4 @ sk5) @ X1) != (X0)))),
% 0.50/0.81 inference('eq_res', [status(thm)], [zip_derived_cl161])).
% 0.50/0.81 thf(zip_derived_cl165, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.81 (growth_rate @ first_movers @ X0))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.81 | ~ (environment @ sk5)
% 0.50/0.81 | (in_environment @ sk5 @ (sk2 @ sk5))
% 0.50/0.81 | ((sk1 @ (sk4 @ sk5) @ sk5) != (X0)))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl162])).
% 0.50/0.81 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.81 thf(zip_derived_cl166, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.81 (growth_rate @ first_movers @ X0))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.81 | (in_environment @ sk5 @ (sk2 @ sk5))
% 0.50/0.81 | ((sk1 @ (sk4 @ sk5) @ sk5) != (X0)))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl14])).
% 0.50/0.81 thf(zip_derived_cl167, plain,
% 0.50/0.81 (( (in_environment @ sk5 @ (sk2 @ sk5))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.81 (sk1 @ (sk4 @ sk5) @ sk5))
% 0.50/0.81 | (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk1 @ (sk4 @ sk5) @ sk5)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk1 @ (sk4 @ sk5) @ sk5))))),
% 0.50/0.81 inference('eq_res', [status(thm)], [zip_derived_cl166])).
% 0.50/0.81 thf(zip_derived_cl168, plain,
% 0.50/0.81 (( (in_environment @ sk5 @ (sk2 @ sk5))
% 0.50/0.81 | ~ (in_environment @ sk5 @ (sk4 @ sk5))
% 0.50/0.81 | ~ (environment @ sk5)
% 0.50/0.81 | (in_environment @ sk5 @ (sk2 @ sk5))
% 0.50/0.81 | (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk1 @ (sk4 @ sk5) @ sk5)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk1 @ (sk4 @ sk5) @ sk5))))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl167])).
% 0.50/0.81 thf(zip_derived_cl158, plain, ( (in_environment @ sk5 @ (sk4 @ sk5))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl14])).
% 0.50/0.81 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.81 thf(zip_derived_cl169, plain,
% 0.50/0.81 (( (in_environment @ sk5 @ (sk2 @ sk5))
% 0.50/0.81 | (in_environment @ sk5 @ (sk2 @ sk5))
% 0.50/0.81 | (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk1 @ (sk4 @ sk5) @ sk5)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk1 @ (sk4 @ sk5) @ sk5))))),
% 0.50/0.81 inference('demod', [status(thm)],
% 0.50/0.81 [zip_derived_cl168, zip_derived_cl158, zip_derived_cl14])).
% 0.50/0.81 thf(zip_derived_cl170, plain,
% 0.50/0.81 (( (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk1 @ (sk4 @ sk5) @ sk5)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk1 @ (sk4 @ sk5) @ sk5)))
% 0.50/0.81 | (in_environment @ sk5 @ (sk2 @ sk5)))),
% 0.50/0.81 inference('simplify', [status(thm)], [zip_derived_cl169])).
% 0.50/0.81 thf(mp_earliest_time_growth_rate_exceeds_25, axiom,
% 0.50/0.81 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.50/0.81 ( ~( greater @
% 0.50/0.81 ( growth_rate @ efficient_producers @ ( sk1 @ B @ A ) ) @
% 0.50/0.81 ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) ) ) |
% 0.50/0.81 ( in_environment @ A @ ( sk2 @ A ) ))).
% 0.50/0.81 thf(zip_derived_cl6, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i]:
% 0.50/0.81 (~ (environment @ X0)
% 0.50/0.81 | ~ (in_environment @ X0 @ X1)
% 0.50/0.81 | ~ (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk1 @ X1 @ X0)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk1 @ X1 @ X0)))
% 0.50/0.81 | (in_environment @ X0 @ (sk2 @ X0)))),
% 0.50/0.81 inference('cnf', [status(esa)], [mp_earliest_time_growth_rate_exceeds_25])).
% 0.50/0.81 thf(zip_derived_cl171, plain,
% 0.50/0.81 (( (in_environment @ sk5 @ (sk2 @ sk5))
% 0.50/0.81 | ~ (environment @ sk5)
% 0.50/0.81 | ~ (in_environment @ sk5 @ (sk4 @ sk5))
% 0.50/0.81 | (in_environment @ sk5 @ (sk2 @ sk5)))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl6])).
% 0.50/0.81 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.81 thf(zip_derived_cl158, plain, ( (in_environment @ sk5 @ (sk4 @ sk5))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl14])).
% 0.50/0.81 thf(zip_derived_cl172, plain,
% 0.50/0.81 (( (in_environment @ sk5 @ (sk2 @ sk5))
% 0.50/0.81 | (in_environment @ sk5 @ (sk2 @ sk5)))),
% 0.50/0.81 inference('demod', [status(thm)],
% 0.50/0.81 [zip_derived_cl171, zip_derived_cl14, zip_derived_cl158])).
% 0.50/0.81 thf(zip_derived_cl173, plain, ( (in_environment @ sk5 @ (sk2 @ sk5))),
% 0.50/0.81 inference('simplify', [status(thm)], [zip_derived_cl172])).
% 0.50/0.81 thf(d1_29, axiom,
% 0.50/0.81 (( ~( environment @ A ) ) |
% 0.50/0.81 ( greater @
% 0.50/0.81 ( growth_rate @ efficient_producers @ B ) @
% 0.50/0.81 ( growth_rate @ first_movers @ B ) ) |
% 0.50/0.81 ( ~( in_environment @ A @ B ) ) | ( greater @ ( sk3 @ B @ A ) @ B ) |
% 0.50/0.81 ( ( B ) = ( critical_point @ A ) ))).
% 0.50/0.81 thf(zip_derived_cl10, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i]:
% 0.50/0.81 (~ (environment @ X0)
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.50/0.81 (growth_rate @ first_movers @ X1))
% 0.50/0.81 | ~ (in_environment @ X0 @ X1)
% 0.50/0.81 | (greater @ (sk3 @ X1 @ X0) @ X1)
% 0.50/0.81 | ((X1) = (critical_point @ X0)))),
% 0.50/0.81 inference('cnf', [status(esa)], [d1_29])).
% 0.50/0.81 thf(mp_earliest_time_growth_rate_exceeds_22, axiom,
% 0.50/0.81 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.50/0.81 ( subpopulations @
% 0.50/0.81 first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) ) |
% 0.50/0.81 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ C ) ) |
% 0.50/0.81 ( ~( greater @ C @ ( sk2 @ A ) ) ) |
% 0.50/0.81 ( greater @
% 0.50/0.81 ( growth_rate @ efficient_producers @ C ) @
% 0.50/0.81 ( growth_rate @ first_movers @ C ) ))).
% 0.50/0.81 thf(zip_derived_cl3, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.81 (~ (environment @ X0)
% 0.50/0.81 | ~ (in_environment @ X0 @ X1)
% 0.50/0.81 | (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.50/0.81 (sk1 @ X1 @ X0))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X2)
% 0.50/0.81 | ~ (greater @ X2 @ (sk2 @ X0))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ X2) @
% 0.50/0.81 (growth_rate @ first_movers @ X2)))),
% 0.50/0.81 inference('cnf', [status(esa)], [mp_earliest_time_growth_rate_exceeds_22])).
% 0.50/0.81 thf(zip_derived_cl159, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.81 (((sk2 @ X0) = (critical_point @ X1))
% 0.50/0.81 | ~ (in_environment @ X1 @ (sk2 @ X0))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ X0)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ X0)))
% 0.50/0.81 | ~ (environment @ X1)
% 0.50/0.81 | ~ (environment @ X0)
% 0.50/0.81 | ~ (in_environment @ X0 @ X2)
% 0.50/0.81 | (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.50/0.81 (sk1 @ X2 @ X0))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.50/0.81 (sk3 @ (sk2 @ X0) @ X1))
% 0.50/0.81 | (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ X0) @ X1)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk3 @ (sk2 @ X0) @ X1))))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl3])).
% 0.50/0.81 thf(zip_derived_cl175, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 (((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.81 | ~ (environment @ sk5)
% 0.50/0.81 | ~ (environment @ sk5)
% 0.50/0.81 | ~ (in_environment @ sk5 @ X0)
% 0.50/0.81 | (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.81 (sk1 @ X0 @ sk5))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.81 (sk3 @ (sk2 @ sk5) @ sk5))
% 0.50/0.81 | (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ sk5)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ sk5))))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl173, zip_derived_cl159])).
% 0.50/0.82 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.82 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.82 thf(zip_derived_cl178, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 (((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ~ (in_environment @ sk5 @ X0)
% 0.50/0.82 | (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk1 @ X0 @ sk5))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk3 @ (sk2 @ sk5) @ sk5))
% 0.50/0.82 | (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ sk5))))),
% 0.50/0.82 inference('demod', [status(thm)],
% 0.50/0.82 [zip_derived_cl175, zip_derived_cl14, zip_derived_cl14])).
% 0.50/0.82 thf(zip_derived_cl173, plain, ( (in_environment @ sk5 @ (sk2 @ sk5))),
% 0.50/0.82 inference('simplify', [status(thm)], [zip_derived_cl172])).
% 0.50/0.82 thf(d1_28, axiom,
% 0.50/0.82 (( ~( environment @ A ) ) |
% 0.50/0.82 ( greater @
% 0.50/0.82 ( growth_rate @ efficient_producers @ B ) @
% 0.50/0.82 ( growth_rate @ first_movers @ B ) ) |
% 0.50/0.82 ( ~( in_environment @ A @ B ) ) |
% 0.50/0.82 ( subpopulations @
% 0.50/0.82 first_movers @ efficient_producers @ A @ ( sk3 @ B @ A ) ) |
% 0.50/0.82 ( ( B ) = ( critical_point @ A ) ))).
% 0.50/0.82 thf(zip_derived_cl9, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i]:
% 0.50/0.82 (~ (environment @ X0)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.50/0.82 (growth_rate @ first_movers @ X1))
% 0.50/0.82 | ~ (in_environment @ X0 @ X1)
% 0.50/0.82 | (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.50/0.82 (sk3 @ X1 @ X0))
% 0.50/0.82 | ((X1) = (critical_point @ X0)))),
% 0.50/0.82 inference('cnf', [status(esa)], [d1_28])).
% 0.50/0.82 thf(zip_derived_cl174, plain,
% 0.50/0.82 ((~ (environment @ sk5)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk3 @ (sk2 @ sk5) @ sk5))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl173, zip_derived_cl9])).
% 0.50/0.82 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.82 thf(zip_derived_cl177, plain,
% 0.50/0.82 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk3 @ (sk2 @ sk5) @ sk5))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl174, zip_derived_cl14])).
% 0.50/0.82 thf(zip_derived_cl185, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 ( (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ sk5)))
% 0.50/0.82 | (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk1 @ X0 @ sk5))
% 0.50/0.82 | ~ (in_environment @ sk5 @ X0)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('clc', [status(thm)], [zip_derived_cl178, zip_derived_cl177])).
% 0.50/0.82 thf(zip_derived_cl187, plain,
% 0.50/0.82 (( (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ sk5)))
% 0.50/0.82 | (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk1 @ (sk4 @ sk5) @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl185])).
% 0.50/0.82 thf(d1_30, axiom,
% 0.50/0.82 (( ~( environment @ A ) ) |
% 0.50/0.82 ( greater @
% 0.50/0.82 ( growth_rate @ efficient_producers @ B ) @
% 0.50/0.82 ( growth_rate @ first_movers @ B ) ) |
% 0.50/0.82 ( ~( in_environment @ A @ B ) ) |
% 0.50/0.82 ( ~( greater @
% 0.50/0.82 ( growth_rate @ efficient_producers @ ( sk3 @ B @ A ) ) @
% 0.50/0.82 ( growth_rate @ first_movers @ ( sk3 @ B @ A ) ) ) ) |
% 0.50/0.82 ( ( B ) = ( critical_point @ A ) ))).
% 0.50/0.82 thf(zip_derived_cl11, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i]:
% 0.50/0.82 (~ (environment @ X0)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.50/0.82 (growth_rate @ first_movers @ X1))
% 0.50/0.82 | ~ (in_environment @ X0 @ X1)
% 0.50/0.82 | ~ (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ X1 @ X0)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ X1 @ X0)))
% 0.50/0.82 | ((X1) = (critical_point @ X0)))),
% 0.50/0.82 inference('cnf', [status(esa)], [d1_30])).
% 0.50/0.82 thf(zip_derived_cl199, plain,
% 0.50/0.82 ((((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk1 @ (sk4 @ sk5) @ sk5))
% 0.50/0.82 | ~ (environment @ sk5)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ~ (in_environment @ sk5 @ (sk2 @ sk5))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl187, zip_derived_cl11])).
% 0.50/0.82 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.82 thf(zip_derived_cl173, plain, ( (in_environment @ sk5 @ (sk2 @ sk5))),
% 0.50/0.82 inference('simplify', [status(thm)], [zip_derived_cl172])).
% 0.50/0.82 thf(zip_derived_cl200, plain,
% 0.50/0.82 ((((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk1 @ (sk4 @ sk5) @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('demod', [status(thm)],
% 0.50/0.82 [zip_derived_cl199, zip_derived_cl14, zip_derived_cl173])).
% 0.50/0.82 thf(zip_derived_cl201, plain,
% 0.50/0.82 (( (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk1 @ (sk4 @ sk5) @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('simplify', [status(thm)], [zip_derived_cl200])).
% 0.50/0.82 thf(zip_derived_cl177, plain,
% 0.50/0.82 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk3 @ (sk2 @ sk5) @ sk5))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl174, zip_derived_cl14])).
% 0.50/0.82 thf(zip_derived_cl173, plain, ( (in_environment @ sk5 @ (sk2 @ sk5))),
% 0.50/0.82 inference('simplify', [status(thm)], [zip_derived_cl172])).
% 0.50/0.82 thf(zip_derived_cl10, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i]:
% 0.50/0.82 (~ (environment @ X0)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.50/0.82 (growth_rate @ first_movers @ X1))
% 0.50/0.82 | ~ (in_environment @ X0 @ X1)
% 0.50/0.82 | (greater @ (sk3 @ X1 @ X0) @ X1)
% 0.50/0.82 | ((X1) = (critical_point @ X0)))),
% 0.50/0.82 inference('cnf', [status(esa)], [d1_29])).
% 0.50/0.82 thf(zip_derived_cl158, plain, ( (in_environment @ sk5 @ (sk4 @ sk5))),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl14])).
% 0.50/0.82 thf(mp_earliest_time_growth_rate_exceeds_24, axiom,
% 0.50/0.82 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.50/0.82 ( greater_or_equal @ ( sk1 @ B @ A ) @ B ) |
% 0.50/0.82 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ C ) ) |
% 0.50/0.82 ( ~( greater @ C @ ( sk2 @ A ) ) ) |
% 0.50/0.82 ( greater @
% 0.50/0.82 ( growth_rate @ efficient_producers @ C ) @
% 0.50/0.82 ( growth_rate @ first_movers @ C ) ))).
% 0.50/0.82 thf(zip_derived_cl5, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.82 (~ (environment @ X0)
% 0.50/0.82 | ~ (in_environment @ X0 @ X1)
% 0.50/0.82 | (greater_or_equal @ (sk1 @ X1 @ X0) @ X1)
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X2)
% 0.50/0.82 | ~ (greater @ X2 @ (sk2 @ X0))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X2) @
% 0.50/0.82 (growth_rate @ first_movers @ X2)))),
% 0.50/0.82 inference('cnf', [status(esa)], [mp_earliest_time_growth_rate_exceeds_24])).
% 0.50/0.82 thf(zip_derived_cl148, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.82 (growth_rate @ first_movers @ X0))
% 0.50/0.82 | ~ (greater_or_equal @ X0 @ (sk4 @ sk5))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.82 | ~ (environment @ sk5))),
% 0.50/0.82 inference('dp-resolution', [status(thm)],
% 0.50/0.82 [zip_derived_cl15, zip_derived_cl13])).
% 0.50/0.82 thf(zip_derived_cl157, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.50/0.82 (((sk1 @ X1 @ X0) != (X3))
% 0.50/0.82 | ((X1) != (sk4 @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X2) @
% 0.50/0.82 (growth_rate @ first_movers @ X2))
% 0.50/0.82 | ~ (greater @ X2 @ (sk2 @ X0))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X2)
% 0.50/0.82 | ~ (in_environment @ X0 @ X1)
% 0.50/0.82 | ~ (environment @ X0)
% 0.50/0.82 | ~ (environment @ sk5)
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X3)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X3) @
% 0.50/0.82 (growth_rate @ first_movers @ X3)))),
% 0.50/0.82 inference('dp-resolution', [status(thm)],
% 0.50/0.82 [zip_derived_cl5, zip_derived_cl148])).
% 0.50/0.82 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.82 thf(zip_derived_cl188, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.50/0.82 (((sk1 @ X1 @ X0) != (X3))
% 0.50/0.82 | ((X1) != (sk4 @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X2) @
% 0.50/0.82 (growth_rate @ first_movers @ X2))
% 0.50/0.82 | ~ (greater @ X2 @ (sk2 @ X0))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X2)
% 0.50/0.82 | ~ (in_environment @ X0 @ X1)
% 0.50/0.82 | ~ (environment @ X0)
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X3)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X3) @
% 0.50/0.82 (growth_rate @ first_movers @ X3)))),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl157, zip_derived_cl14])).
% 0.50/0.82 thf(zip_derived_cl189, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.82 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.82 (growth_rate @ first_movers @ X0))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.82 | ~ (environment @ X1)
% 0.50/0.82 | ~ (in_environment @ X1 @ (sk4 @ sk5))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ X1 @ X2)
% 0.50/0.82 | ~ (greater @ X2 @ (sk2 @ X1))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X2) @
% 0.50/0.82 (growth_rate @ first_movers @ X2))
% 0.50/0.82 | ((sk1 @ (sk4 @ sk5) @ X1) != (X0)))),
% 0.50/0.82 inference('eq_res', [status(thm)], [zip_derived_cl188])).
% 0.50/0.82 thf(zip_derived_cl190, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i]:
% 0.50/0.82 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.82 (growth_rate @ first_movers @ X0))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.82 | ~ (environment @ sk5)
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X1)
% 0.50/0.82 | ~ (greater @ X1 @ (sk2 @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.50/0.82 (growth_rate @ first_movers @ X1))
% 0.50/0.82 | ((sk1 @ (sk4 @ sk5) @ sk5) != (X0)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl189])).
% 0.50/0.82 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.82 thf(zip_derived_cl191, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i]:
% 0.50/0.82 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.82 (growth_rate @ first_movers @ X0))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X1)
% 0.50/0.82 | ~ (greater @ X1 @ (sk2 @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.50/0.82 (growth_rate @ first_movers @ X1))
% 0.50/0.82 | ((sk1 @ (sk4 @ sk5) @ sk5) != (X0)))),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl190, zip_derived_cl14])).
% 0.50/0.82 thf(zip_derived_cl192, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i]:
% 0.50/0.82 (((sk2 @ sk5) = (critical_point @ X0))
% 0.50/0.82 | ~ (in_environment @ X0 @ (sk2 @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ~ (environment @ X0)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.50/0.82 (growth_rate @ first_movers @ X1))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X1)
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk3 @ (sk2 @ sk5) @ X0))
% 0.50/0.82 | (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ X0)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ X0)))
% 0.50/0.82 | ((sk1 @ (sk4 @ sk5) @ sk5) != (X1)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl191])).
% 0.50/0.82 thf(zip_derived_cl202, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 (((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ~ (environment @ sk5)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.82 (growth_rate @ first_movers @ X0))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk3 @ (sk2 @ sk5) @ sk5))
% 0.50/0.82 | (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ sk5)))
% 0.50/0.82 | ((sk1 @ (sk4 @ sk5) @ sk5) != (X0)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl173, zip_derived_cl192])).
% 0.50/0.82 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.82 thf(zip_derived_cl203, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 (((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.82 (growth_rate @ first_movers @ X0))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk3 @ (sk2 @ sk5) @ sk5))
% 0.50/0.82 | (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ sk5)))
% 0.50/0.82 | ((sk1 @ (sk4 @ sk5) @ sk5) != (X0)))),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl202, zip_derived_cl14])).
% 0.50/0.82 thf(zip_derived_cl158, plain, ( (in_environment @ sk5 @ (sk4 @ sk5))),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl14])).
% 0.50/0.82 thf(mp_earliest_time_growth_rate_exceeds_23, axiom,
% 0.50/0.82 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.50/0.82 ( greater_or_equal @ ( sk1 @ B @ A ) @ B ) |
% 0.50/0.82 ( ~( greater @
% 0.50/0.82 ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @
% 0.50/0.82 ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ))).
% 0.50/0.82 thf(zip_derived_cl4, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i]:
% 0.50/0.82 (~ (environment @ X0)
% 0.50/0.82 | ~ (in_environment @ X0 @ X1)
% 0.50/0.82 | (greater_or_equal @ (sk1 @ X1 @ X0) @ X1)
% 0.50/0.82 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ X0)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ X0))))),
% 0.50/0.82 inference('cnf', [status(esa)], [mp_earliest_time_growth_rate_exceeds_23])).
% 0.50/0.82 thf(zip_derived_cl148, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.82 (growth_rate @ first_movers @ X0))
% 0.50/0.82 | ~ (greater_or_equal @ X0 @ (sk4 @ sk5))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.82 | ~ (environment @ sk5))),
% 0.50/0.82 inference('dp-resolution', [status(thm)],
% 0.50/0.82 [zip_derived_cl15, zip_derived_cl13])).
% 0.50/0.82 thf(zip_derived_cl154, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.82 (((sk1 @ X1 @ X0) != (X2))
% 0.50/0.82 | ((X1) != (sk4 @ sk5))
% 0.50/0.82 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ X0)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ X0)))
% 0.50/0.82 | ~ (in_environment @ X0 @ X1)
% 0.50/0.82 | ~ (environment @ X0)
% 0.50/0.82 | ~ (environment @ sk5)
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X2)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X2) @
% 0.50/0.82 (growth_rate @ first_movers @ X2)))),
% 0.50/0.82 inference('dp-resolution', [status(thm)],
% 0.50/0.82 [zip_derived_cl4, zip_derived_cl148])).
% 0.50/0.82 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.82 thf(zip_derived_cl180, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.82 (((sk1 @ X1 @ X0) != (X2))
% 0.50/0.82 | ((X1) != (sk4 @ sk5))
% 0.50/0.82 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ X0)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ X0)))
% 0.50/0.82 | ~ (in_environment @ X0 @ X1)
% 0.50/0.82 | ~ (environment @ X0)
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X2)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X2) @
% 0.50/0.82 (growth_rate @ first_movers @ X2)))),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl154, zip_derived_cl14])).
% 0.50/0.82 thf(zip_derived_cl181, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i]:
% 0.50/0.82 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.82 (growth_rate @ first_movers @ X0))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.82 | ~ (environment @ X1)
% 0.50/0.82 | ~ (in_environment @ X1 @ (sk4 @ sk5))
% 0.50/0.82 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ X1)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ X1)))
% 0.50/0.82 | ((sk1 @ (sk4 @ sk5) @ X1) != (X0)))),
% 0.50/0.82 inference('eq_res', [status(thm)], [zip_derived_cl180])).
% 0.50/0.82 thf(zip_derived_cl182, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.82 (growth_rate @ first_movers @ X0))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.82 | ~ (environment @ sk5)
% 0.50/0.82 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ((sk1 @ (sk4 @ sk5) @ sk5) != (X0)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl181])).
% 0.50/0.82 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.82 thf(zip_derived_cl183, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.82 (growth_rate @ first_movers @ X0))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.82 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ((sk1 @ (sk4 @ sk5) @ sk5) != (X0)))),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl14])).
% 0.50/0.82 thf(zip_derived_cl204, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 (((sk1 @ (sk4 @ sk5) @ sk5) != (X0))
% 0.50/0.82 | (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ sk5)))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk3 @ (sk2 @ sk5) @ sk5))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.82 (growth_rate @ first_movers @ X0))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('clc', [status(thm)], [zip_derived_cl203, zip_derived_cl183])).
% 0.50/0.82 thf(zip_derived_cl205, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 (((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ((sk1 @ (sk4 @ sk5) @ sk5) != (X0))
% 0.50/0.82 | (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ sk5)))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.82 (growth_rate @ first_movers @ X0))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl177, zip_derived_cl204])).
% 0.50/0.82 thf(zip_derived_cl206, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.82 (growth_rate @ first_movers @ X0))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.82 | (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ sk5)))
% 0.50/0.82 | ((sk1 @ (sk4 @ sk5) @ sk5) != (X0))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('simplify', [status(thm)], [zip_derived_cl205])).
% 0.50/0.82 thf(zip_derived_cl183, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.82 (growth_rate @ first_movers @ X0))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.82 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ((sk1 @ (sk4 @ sk5) @ sk5) != (X0)))),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl14])).
% 0.50/0.82 thf(zip_derived_cl207, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 (((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | ((sk1 @ (sk4 @ sk5) @ sk5) != (X0))
% 0.50/0.82 | (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ sk5)))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.82 (growth_rate @ first_movers @ X0)))),
% 0.50/0.82 inference('clc', [status(thm)], [zip_derived_cl206, zip_derived_cl183])).
% 0.50/0.82 thf(zip_derived_cl208, plain,
% 0.50/0.82 (( (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk1 @ (sk4 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk1 @ (sk4 @ sk5) @ sk5)))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk1 @ (sk4 @ sk5) @ sk5))
% 0.50/0.82 | (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ sk5)))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('eq_res', [status(thm)], [zip_derived_cl207])).
% 0.50/0.82 thf(zip_derived_cl210, plain,
% 0.50/0.82 ((((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk1 @ (sk4 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk1 @ (sk4 @ sk5) @ sk5)))
% 0.50/0.82 | (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ sk5)))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl208])).
% 0.50/0.82 thf(zip_derived_cl212, plain,
% 0.50/0.82 (( (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ sk5)))
% 0.50/0.82 | (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk1 @ (sk4 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk1 @ (sk4 @ sk5) @ sk5)))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('simplify', [status(thm)], [zip_derived_cl210])).
% 0.50/0.82 thf(zip_derived_cl158, plain, ( (in_environment @ sk5 @ (sk4 @ sk5))),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl14])).
% 0.50/0.82 thf(zip_derived_cl173, plain, ( (in_environment @ sk5 @ (sk2 @ sk5))),
% 0.50/0.82 inference('simplify', [status(thm)], [zip_derived_cl172])).
% 0.50/0.82 thf(zip_derived_cl10, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i]:
% 0.50/0.82 (~ (environment @ X0)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.50/0.82 (growth_rate @ first_movers @ X1))
% 0.50/0.82 | ~ (in_environment @ X0 @ X1)
% 0.50/0.82 | (greater @ (sk3 @ X1 @ X0) @ X1)
% 0.50/0.82 | ((X1) = (critical_point @ X0)))),
% 0.50/0.82 inference('cnf', [status(esa)], [d1_29])).
% 0.50/0.82 thf(mp_earliest_time_growth_rate_exceeds_27, axiom,
% 0.50/0.82 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.50/0.82 ( ~( greater @
% 0.50/0.82 ( growth_rate @ efficient_producers @ ( sk1 @ B @ A ) ) @
% 0.50/0.82 ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) ) ) |
% 0.50/0.82 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ C ) ) |
% 0.50/0.82 ( ~( greater @ C @ ( sk2 @ A ) ) ) |
% 0.50/0.82 ( greater @
% 0.50/0.82 ( growth_rate @ efficient_producers @ C ) @
% 0.50/0.82 ( growth_rate @ first_movers @ C ) ))).
% 0.50/0.82 thf(zip_derived_cl8, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.82 (~ (environment @ X0)
% 0.50/0.82 | ~ (in_environment @ X0 @ X1)
% 0.50/0.82 | ~ (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk1 @ X1 @ X0)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk1 @ X1 @ X0)))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X2)
% 0.50/0.82 | ~ (greater @ X2 @ (sk2 @ X0))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X2) @
% 0.50/0.82 (growth_rate @ first_movers @ X2)))),
% 0.50/0.82 inference('cnf', [status(esa)], [mp_earliest_time_growth_rate_exceeds_27])).
% 0.50/0.82 thf(zip_derived_cl160, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.82 (((sk2 @ X0) = (critical_point @ X1))
% 0.50/0.82 | ~ (in_environment @ X1 @ (sk2 @ X0))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ X0)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ X0)))
% 0.50/0.82 | ~ (environment @ X1)
% 0.50/0.82 | ~ (environment @ X0)
% 0.50/0.82 | ~ (in_environment @ X0 @ X2)
% 0.50/0.82 | ~ (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk1 @ X2 @ X0)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk1 @ X2 @ X0)))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.50/0.82 (sk3 @ (sk2 @ X0) @ X1))
% 0.50/0.82 | (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ X0) @ X1)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ X0) @ X1))))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl8])).
% 0.50/0.82 thf(zip_derived_cl176, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 (((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ~ (environment @ sk5)
% 0.50/0.82 | ~ (environment @ sk5)
% 0.50/0.82 | ~ (in_environment @ sk5 @ X0)
% 0.50/0.82 | ~ (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk1 @ X0 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk1 @ X0 @ sk5)))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk3 @ (sk2 @ sk5) @ sk5))
% 0.50/0.82 | (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ sk5))))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl173, zip_derived_cl160])).
% 0.50/0.82 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.82 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.82 thf(zip_derived_cl179, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 (((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ~ (in_environment @ sk5 @ X0)
% 0.50/0.82 | ~ (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk1 @ X0 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk1 @ X0 @ sk5)))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk3 @ (sk2 @ sk5) @ sk5))
% 0.50/0.82 | (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ sk5))))),
% 0.50/0.82 inference('demod', [status(thm)],
% 0.50/0.82 [zip_derived_cl176, zip_derived_cl14, zip_derived_cl14])).
% 0.50/0.82 thf(zip_derived_cl177, plain,
% 0.50/0.82 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk3 @ (sk2 @ sk5) @ sk5))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl174, zip_derived_cl14])).
% 0.50/0.82 thf(zip_derived_cl196, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 ( (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ sk5)))
% 0.50/0.82 | ~ (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk1 @ X0 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk1 @ X0 @ sk5)))
% 0.50/0.82 | ~ (in_environment @ sk5 @ X0)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('clc', [status(thm)], [zip_derived_cl179, zip_derived_cl177])).
% 0.50/0.82 thf(zip_derived_cl198, plain,
% 0.50/0.82 (( (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ sk5)))
% 0.50/0.82 | ~ (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk1 @ (sk4 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk1 @ (sk4 @ sk5) @ sk5)))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl196])).
% 0.50/0.82 thf(zip_derived_cl213, plain,
% 0.50/0.82 ((((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ (sk2 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ (sk2 @ sk5) @ sk5))))),
% 0.50/0.82 inference('clc', [status(thm)], [zip_derived_cl212, zip_derived_cl198])).
% 0.50/0.82 thf(zip_derived_cl11, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i]:
% 0.50/0.82 (~ (environment @ X0)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.50/0.82 (growth_rate @ first_movers @ X1))
% 0.50/0.82 | ~ (in_environment @ X0 @ X1)
% 0.50/0.82 | ~ (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk3 @ X1 @ X0)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk3 @ X1 @ X0)))
% 0.50/0.82 | ((X1) = (critical_point @ X0)))),
% 0.50/0.82 inference('cnf', [status(esa)], [d1_30])).
% 0.50/0.82 thf(zip_derived_cl214, plain,
% 0.50/0.82 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | ~ (environment @ sk5)
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ~ (in_environment @ sk5 @ (sk2 @ sk5))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl213, zip_derived_cl11])).
% 0.50/0.82 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.82 thf(zip_derived_cl173, plain, ( (in_environment @ sk5 @ (sk2 @ sk5))),
% 0.50/0.82 inference('simplify', [status(thm)], [zip_derived_cl172])).
% 0.50/0.82 thf(zip_derived_cl215, plain,
% 0.50/0.82 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('demod', [status(thm)],
% 0.50/0.82 [zip_derived_cl214, zip_derived_cl14, zip_derived_cl173])).
% 0.50/0.82 thf(zip_derived_cl216, plain,
% 0.50/0.82 ((((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5))))),
% 0.50/0.82 inference('simplify', [status(thm)], [zip_derived_cl215])).
% 0.50/0.82 thf(mp_earliest_time_growth_rate_exceeds_21, axiom,
% 0.50/0.82 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.50/0.82 ( subpopulations @
% 0.50/0.82 first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) ) |
% 0.50/0.82 ( ~( greater @
% 0.50/0.82 ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @
% 0.50/0.82 ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ))).
% 0.50/0.82 thf(zip_derived_cl2, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i]:
% 0.50/0.82 (~ (environment @ X0)
% 0.50/0.82 | ~ (in_environment @ X0 @ X1)
% 0.50/0.82 | (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.50/0.82 (sk1 @ X1 @ X0))
% 0.50/0.82 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ X0)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ X0))))),
% 0.50/0.82 inference('cnf', [status(esa)], [mp_earliest_time_growth_rate_exceeds_21])).
% 0.50/0.82 thf(zip_derived_cl217, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 (((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | ~ (environment @ sk5)
% 0.50/0.82 | ~ (in_environment @ sk5 @ X0)
% 0.50/0.82 | (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk1 @ X0 @ sk5)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl216, zip_derived_cl2])).
% 0.50/0.82 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.82 thf(zip_derived_cl220, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 (((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | ~ (in_environment @ sk5 @ X0)
% 0.50/0.82 | (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk1 @ X0 @ sk5)))),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl217, zip_derived_cl14])).
% 0.50/0.82 thf(zip_derived_cl216, plain,
% 0.50/0.82 ((((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5))))),
% 0.50/0.82 inference('simplify', [status(thm)], [zip_derived_cl215])).
% 0.50/0.82 thf(zip_derived_cl183, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.82 (growth_rate @ first_movers @ X0))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.82 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5)))
% 0.50/0.82 | ((sk1 @ (sk4 @ sk5) @ sk5) != (X0)))),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl182, zip_derived_cl14])).
% 0.50/0.82 thf(zip_derived_cl219, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 (((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.82 (growth_rate @ first_movers @ X0))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @ X0)
% 0.50/0.82 | ((sk1 @ (sk4 @ sk5) @ sk5) != (X0)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl216, zip_derived_cl183])).
% 0.50/0.82 thf(zip_derived_cl227, plain,
% 0.50/0.82 ((~ (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk1 @ (sk4 @ sk5) @ sk5))
% 0.50/0.82 | (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk1 @ (sk4 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk1 @ (sk4 @ sk5) @ sk5)))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('eq_res', [status(thm)], [zip_derived_cl219])).
% 0.50/0.82 thf(zip_derived_cl158, plain, ( (in_environment @ sk5 @ (sk4 @ sk5))),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl14])).
% 0.50/0.82 thf(zip_derived_cl216, plain,
% 0.50/0.82 ((((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ sk5))))),
% 0.50/0.82 inference('simplify', [status(thm)], [zip_derived_cl215])).
% 0.50/0.82 thf(mp_earliest_time_growth_rate_exceeds_26, axiom,
% 0.50/0.82 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.50/0.82 ( ~( greater @
% 0.50/0.82 ( growth_rate @ efficient_producers @ ( sk1 @ B @ A ) ) @
% 0.50/0.82 ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) ) ) |
% 0.50/0.82 ( ~( greater @
% 0.50/0.82 ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @
% 0.50/0.82 ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ))).
% 0.50/0.82 thf(zip_derived_cl7, plain,
% 0.50/0.82 (![X0 : $i, X1 : $i]:
% 0.50/0.82 (~ (environment @ X0)
% 0.50/0.82 | ~ (in_environment @ X0 @ X1)
% 0.50/0.82 | ~ (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk1 @ X1 @ X0)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk1 @ X1 @ X0)))
% 0.50/0.82 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ X0)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk2 @ X0))))),
% 0.50/0.82 inference('cnf', [status(esa)], [mp_earliest_time_growth_rate_exceeds_26])).
% 0.50/0.82 thf(zip_derived_cl218, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 (((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | ~ (environment @ sk5)
% 0.50/0.82 | ~ (in_environment @ sk5 @ X0)
% 0.50/0.82 | ~ (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk1 @ X0 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk1 @ X0 @ sk5))))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl216, zip_derived_cl7])).
% 0.50/0.82 thf(zip_derived_cl14, plain, ( (environment @ sk5)),
% 0.50/0.82 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.82 thf(zip_derived_cl221, plain,
% 0.50/0.82 (![X0 : $i]:
% 0.50/0.82 (((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | ~ (in_environment @ sk5 @ X0)
% 0.50/0.82 | ~ (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk1 @ X0 @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk1 @ X0 @ sk5))))),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl218, zip_derived_cl14])).
% 0.50/0.82 thf(zip_derived_cl223, plain,
% 0.50/0.82 ((((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | ~ (greater @
% 0.50/0.82 (growth_rate @ efficient_producers @ (sk1 @ (sk4 @ sk5) @ sk5)) @
% 0.50/0.82 (growth_rate @ first_movers @ (sk1 @ (sk4 @ sk5) @ sk5))))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl158, zip_derived_cl221])).
% 0.50/0.82 thf(zip_derived_cl228, plain,
% 0.50/0.82 ((((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | ~ (subpopulations @ first_movers @ efficient_producers @ sk5 @
% 0.50/0.82 (sk1 @ (sk4 @ sk5) @ sk5)))),
% 0.50/0.82 inference('clc', [status(thm)], [zip_derived_cl227, zip_derived_cl223])).
% 0.50/0.82 thf(zip_derived_cl230, plain,
% 0.50/0.82 ((~ (in_environment @ sk5 @ (sk4 @ sk5))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl220, zip_derived_cl228])).
% 0.50/0.82 thf(zip_derived_cl158, plain, ( (in_environment @ sk5 @ (sk4 @ sk5))),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl147, zip_derived_cl14])).
% 0.50/0.82 thf(zip_derived_cl232, plain,
% 0.50/0.82 ((((sk2 @ sk5) = (critical_point @ sk5))
% 0.50/0.82 | ((sk2 @ sk5) = (critical_point @ sk5)))),
% 0.50/0.82 inference('demod', [status(thm)], [zip_derived_cl230, zip_derived_cl158])).
% 0.50/0.82 thf(zip_derived_cl233, plain, (((sk2 @ sk5) = (critical_point @ sk5))),
% 0.50/0.82 inference('simplify', [status(thm)], [zip_derived_cl232])).
% 0.50/0.82 thf(zip_derived_cl173, plain, ( (in_environment @ sk5 @ (sk2 @ sk5))),
% 0.50/0.82 inference('simplify', [status(thm)], [zip_derived_cl172])).
% 0.50/0.82 thf(zip_derived_cl238, plain, ($false),
% 0.50/0.82 inference('demod', [status(thm)],
% 0.50/0.82 [zip_derived_cl16, zip_derived_cl233, zip_derived_cl173])).
% 0.50/0.82
% 0.50/0.82 % SZS output end Refutation
% 0.50/0.82
% 0.50/0.82
% 0.50/0.82 % Terminating...
% 0.50/0.86 % Runner terminated.
% 0.50/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------