%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT030-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dyHuZri6gT true
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:25:00 AM UTC 2026
% Result : Unsatisfiable 0.50s 0.81s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT030-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dyHuZri6gT true
% 0.10/0.37 % Computer : n017.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 12:14:39 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Running portfolio for 300 s
% 0.10/0.38 % 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
% 0.10/0.39 % Running in FO mode
% 0.46/0.67 % Total configuration time : 435
% 0.46/0.67 % Estimated wc time : 1092
% 0.46/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.81 % Solved by fo/fo6_bce.sh.
% 0.50/0.81 % BCE start: 16
% 0.50/0.81 % BCE eliminated: 0
% 0.50/0.81 % PE start: 16
% 0.50/0.81 logic: neq
% 0.50/0.81 % PE eliminated: 2
% 0.50/0.81 % done 39 iterations in 0.033s
% 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(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(sk3_type, type, sk3: $i > $i).
% 0.50/0.81 thf(sk5_type, type, sk5: $i > $i).
% 0.50/0.81 thf(sk4_type, type, sk4: $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(stable_type, type, stable: $i > $o).
% 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(prove_l12_15, conjecture,
% 0.50/0.81 (~( ( greater @ ( sk5 @ A ) @ A ) |
% 0.50/0.81 ( greater @
% 0.50/0.81 ( growth_rate @ efficient_producers @ A ) @
% 0.50/0.81 ( growth_rate @ first_movers @ A ) ) |
% 0.50/0.81 ( ~( in_environment @ sk4 @ A ) ) ))).
% 0.50/0.81 thf(zf_stmt_0, negated_conjecture,
% 0.50/0.81 (( greater @ ( sk5 @ A ) @ A ) |
% 0.50/0.81 ( greater @
% 0.50/0.81 ( growth_rate @ efficient_producers @ A ) @
% 0.50/0.81 ( growth_rate @ first_movers @ A ) ) |
% 0.50/0.81 ( ~( in_environment @ sk4 @ A ) )),
% 0.50/0.81 inference('cnf.neg', [status(esa)], [prove_l12_15])).
% 0.50/0.81 thf(zip_derived_cl14, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 ( (greater @ (sk5 @ X0) @ X0)
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.81 (growth_rate @ first_movers @ X0))
% 0.50/0.81 | ~ (in_environment @ sk4 @ X0))),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.81 thf(prove_l12_13, conjecture, (~( stable @ sk4 ))).
% 0.50/0.81 thf(zf_stmt_1, negated_conjecture, (stable @ sk4),
% 0.50/0.81 inference('cnf.neg', [status(esa)], [prove_l12_13])).
% 0.50/0.81 thf(zip_derived_cl12, plain, ( (stable @ sk4)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.81 thf(l1_10, axiom,
% 0.50/0.81 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.50/0.81 ( in_environment @ A @ ( sk3 @ A ) ))).
% 0.50/0.81 thf(zip_derived_cl9, 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 @ (sk3 @ X0)))),
% 0.50/0.81 inference('cnf', [status(esa)], [l1_10])).
% 0.50/0.81 thf(zip_derived_cl16, plain,
% 0.50/0.81 (( (in_environment @ sk4 @ (sk3 @ sk4)) | ~ (environment @ sk4))),
% 0.50/0.81 inference('dp-resolution', [status(thm)],
% 0.50/0.81 [zip_derived_cl12, zip_derived_cl9])).
% 0.50/0.81 thf(prove_l12_12, conjecture, (~( environment @ sk4 ))).
% 0.50/0.81 thf(zf_stmt_2, negated_conjecture, (environment @ sk4),
% 0.50/0.81 inference('cnf.neg', [status(esa)], [prove_l12_12])).
% 0.50/0.81 thf(zip_derived_cl11, plain, ( (environment @ sk4)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.81 thf(zip_derived_cl21, plain, ( (in_environment @ sk4 @ (sk3 @ sk4))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl11])).
% 0.50/0.81 thf(mp_earliest_time_growth_rate_exceeds_1, 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_1])).
% 0.50/0.81 thf(zip_derived_cl21, plain, ( (in_environment @ sk4 @ (sk3 @ sk4))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl11])).
% 0.50/0.81 thf(mp_earliest_time_growth_rate_exceeds_2, 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_2])).
% 0.50/0.81 thf(zip_derived_cl12, plain, ( (stable @ sk4)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.81 thf(l1_11, 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 @ ( sk3 @ 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_cl10, 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 @ (sk3 @ 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_11])).
% 0.50/0.81 thf(zip_derived_cl17, 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 @ (sk3 @ sk4))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @ X0)
% 0.50/0.81 | ~ (environment @ sk4))),
% 0.50/0.81 inference('dp-resolution', [status(thm)],
% 0.50/0.81 [zip_derived_cl12, zip_derived_cl10])).
% 0.50/0.81 thf(zip_derived_cl18, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 ( (in_environment @ X0 @ (sk2 @ X0))
% 0.50/0.81 | ~ (in_environment @ X0 @ (sk3 @ sk4))
% 0.50/0.81 | ~ (environment @ X0)
% 0.50/0.81 | ~ (environment @ sk4)
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ (sk3 @ sk4) @ X0))
% 0.50/0.81 | (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk1 @ (sk3 @ sk4) @ X0)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk1 @ (sk3 @ sk4) @ X0))))),
% 0.50/0.81 inference('dp-resolution', [status(thm)],
% 0.50/0.81 [zip_derived_cl1, zip_derived_cl17])).
% 0.50/0.81 thf(zip_derived_cl11, plain, ( (environment @ sk4)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.81 thf(zip_derived_cl22, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 ( (in_environment @ X0 @ (sk2 @ X0))
% 0.50/0.81 | ~ (in_environment @ X0 @ (sk3 @ sk4))
% 0.50/0.81 | ~ (environment @ X0)
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ (sk3 @ sk4) @ X0))
% 0.50/0.81 | (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk1 @ (sk3 @ sk4) @ X0)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk1 @ (sk3 @ sk4) @ X0))))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl11])).
% 0.50/0.81 thf(mp_earliest_time_growth_rate_exceeds_7, 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_7])).
% 0.50/0.81 thf(zip_derived_cl32, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 (~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ (sk3 @ sk4) @ X0))
% 0.50/0.81 | ~ (environment @ X0)
% 0.50/0.81 | ~ (in_environment @ X0 @ (sk3 @ sk4))
% 0.50/0.81 | (in_environment @ X0 @ (sk2 @ X0))
% 0.50/0.81 | ~ (environment @ X0)
% 0.50/0.81 | ~ (in_environment @ X0 @ (sk3 @ sk4))
% 0.50/0.81 | (in_environment @ X0 @ (sk2 @ X0)))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl6])).
% 0.50/0.81 thf(zip_derived_cl33, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 ( (in_environment @ X0 @ (sk2 @ X0))
% 0.50/0.81 | ~ (in_environment @ X0 @ (sk3 @ sk4))
% 0.50/0.81 | ~ (environment @ X0)
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ (sk3 @ sk4) @ X0)))),
% 0.50/0.81 inference('simplify', [status(thm)], [zip_derived_cl32])).
% 0.50/0.81 thf(zip_derived_cl34, plain,
% 0.50/0.81 (( (in_environment @ sk4 @ (sk2 @ sk4))
% 0.50/0.81 | ~ (environment @ sk4)
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ (sk3 @ sk4) @ sk4)))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl33])).
% 0.50/0.81 thf(zip_derived_cl11, plain, ( (environment @ sk4)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.81 thf(zip_derived_cl35, plain,
% 0.50/0.81 (( (in_environment @ sk4 @ (sk2 @ sk4))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ (sk3 @ sk4) @ sk4)))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl11])).
% 0.50/0.81 thf(zip_derived_cl37, plain,
% 0.50/0.81 (( (in_environment @ sk4 @ (sk2 @ sk4))
% 0.50/0.81 | ~ (in_environment @ sk4 @ (sk3 @ sk4))
% 0.50/0.81 | ~ (environment @ sk4)
% 0.50/0.81 | (in_environment @ sk4 @ (sk2 @ sk4)))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl35])).
% 0.50/0.81 thf(zip_derived_cl21, plain, ( (in_environment @ sk4 @ (sk3 @ sk4))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl11])).
% 0.50/0.81 thf(zip_derived_cl11, plain, ( (environment @ sk4)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.81 thf(zip_derived_cl38, plain,
% 0.50/0.81 (( (in_environment @ sk4 @ (sk2 @ sk4))
% 0.50/0.81 | (in_environment @ sk4 @ (sk2 @ sk4)))),
% 0.50/0.81 inference('demod', [status(thm)],
% 0.50/0.81 [zip_derived_cl37, zip_derived_cl21, zip_derived_cl11])).
% 0.50/0.81 thf(zip_derived_cl39, plain, ( (in_environment @ sk4 @ (sk2 @ sk4))),
% 0.50/0.81 inference('simplify', [status(thm)], [zip_derived_cl38])).
% 0.50/0.81 thf(prove_l12_14, conjecture,
% 0.50/0.81 (~( ( subpopulations @
% 0.50/0.81 first_movers @ efficient_producers @ sk4 @ ( sk5 @ A ) ) |
% 0.50/0.81 ( greater @
% 0.50/0.81 ( growth_rate @ efficient_producers @ A ) @
% 0.50/0.81 ( growth_rate @ first_movers @ A ) ) |
% 0.50/0.81 ( ~( in_environment @ sk4 @ A ) ) ))).
% 0.50/0.81 thf(zf_stmt_3, negated_conjecture,
% 0.50/0.81 (( subpopulations @ first_movers @ efficient_producers @ sk4 @ ( sk5 @ A ) ) |
% 0.50/0.81 ( greater @
% 0.50/0.81 ( growth_rate @ efficient_producers @ A ) @
% 0.50/0.81 ( growth_rate @ first_movers @ A ) ) |
% 0.50/0.81 ( ~( in_environment @ sk4 @ A ) )),
% 0.50/0.81 inference('cnf.neg', [status(esa)], [prove_l12_14])).
% 0.50/0.81 thf(zip_derived_cl13, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 ( (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk5 @ X0))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.81 (growth_rate @ first_movers @ X0))
% 0.50/0.81 | ~ (in_environment @ sk4 @ X0))),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.50/0.81 thf(zip_derived_cl40, plain,
% 0.50/0.81 (( (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk5 @ (sk2 @ sk4)))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk4)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk4))))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl13])).
% 0.50/0.81 thf(zip_derived_cl39, plain, ( (in_environment @ sk4 @ (sk2 @ sk4))),
% 0.50/0.81 inference('simplify', [status(thm)], [zip_derived_cl38])).
% 0.50/0.81 thf(zip_derived_cl14, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 ( (greater @ (sk5 @ X0) @ X0)
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.81 (growth_rate @ first_movers @ X0))
% 0.50/0.81 | ~ (in_environment @ sk4 @ X0))),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.81 thf(mp_earliest_time_growth_rate_exceeds_4, 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_4])).
% 0.50/0.81 thf(zip_derived_cl29, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i]:
% 0.50/0.81 (~ (in_environment @ sk4 @ (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 @ 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 @
% 0.50/0.81 (sk5 @ (sk2 @ X0)))
% 0.50/0.81 | (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk5 @ (sk2 @ X0))) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk5 @ (sk2 @ X0)))))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl3])).
% 0.50/0.81 thf(mp_earliest_time_growth_rate_exceeds_3, 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 ( ~( greater @
% 0.50/0.81 ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @
% 0.50/0.81 ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ))).
% 0.50/0.81 thf(zip_derived_cl2, 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 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ X0)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ X0))))),
% 0.50/0.81 inference('cnf', [status(esa)], [mp_earliest_time_growth_rate_exceeds_3])).
% 0.50/0.81 thf(zip_derived_cl52, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i]:
% 0.50/0.81 ( (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk5 @ (sk2 @ X0))) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk5 @ (sk2 @ X0))))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.50/0.81 (sk5 @ (sk2 @ X0)))
% 0.50/0.81 | (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.50/0.81 (sk1 @ X1 @ X0))
% 0.50/0.81 | ~ (in_environment @ X0 @ X1)
% 0.50/0.81 | ~ (environment @ X0)
% 0.50/0.81 | ~ (in_environment @ sk4 @ (sk2 @ X0)))),
% 0.50/0.81 inference('clc', [status(thm)], [zip_derived_cl29, zip_derived_cl2])).
% 0.50/0.81 thf(zip_derived_cl53, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 ( (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk5 @ (sk2 @ sk4))) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk5 @ (sk2 @ sk4))))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk5 @ (sk2 @ sk4)))
% 0.50/0.81 | (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ X0 @ sk4))
% 0.50/0.81 | ~ (in_environment @ sk4 @ X0)
% 0.50/0.81 | ~ (environment @ sk4))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl52])).
% 0.50/0.81 thf(zip_derived_cl11, plain, ( (environment @ sk4)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.81 thf(zip_derived_cl54, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 ( (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk5 @ (sk2 @ sk4))) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk5 @ (sk2 @ sk4))))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk5 @ (sk2 @ sk4)))
% 0.50/0.81 | (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ X0 @ sk4))
% 0.50/0.81 | ~ (in_environment @ sk4 @ X0))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl53, zip_derived_cl11])).
% 0.50/0.81 thf(zip_derived_cl58, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 ( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk4)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk4)))
% 0.50/0.81 | (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk5 @ (sk2 @ sk4))) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk5 @ (sk2 @ sk4))))
% 0.50/0.81 | (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ X0 @ sk4))
% 0.50/0.81 | ~ (in_environment @ sk4 @ X0))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl54])).
% 0.50/0.81 thf(zip_derived_cl39, plain, ( (in_environment @ sk4 @ (sk2 @ sk4))),
% 0.50/0.81 inference('simplify', [status(thm)], [zip_derived_cl38])).
% 0.50/0.81 thf(prove_l12_16, conjecture,
% 0.50/0.81 (~( ( ~( greater @
% 0.50/0.81 ( growth_rate @ efficient_producers @ ( sk5 @ A ) ) @
% 0.50/0.81 ( growth_rate @ first_movers @ ( sk5 @ A ) ) ) ) |
% 0.50/0.81 ( greater @
% 0.50/0.81 ( growth_rate @ efficient_producers @ A ) @
% 0.50/0.81 ( growth_rate @ first_movers @ A ) ) |
% 0.50/0.81 ( ~( in_environment @ sk4 @ A ) ) ))).
% 0.50/0.81 thf(zf_stmt_4, negated_conjecture,
% 0.50/0.81 (( ~( greater @
% 0.50/0.81 ( growth_rate @ efficient_producers @ ( sk5 @ A ) ) @
% 0.50/0.81 ( growth_rate @ first_movers @ ( sk5 @ A ) ) ) ) |
% 0.50/0.81 ( greater @
% 0.50/0.81 ( growth_rate @ efficient_producers @ A ) @
% 0.50/0.81 ( growth_rate @ first_movers @ A ) ) |
% 0.50/0.81 ( ~( in_environment @ sk4 @ A ) )),
% 0.50/0.81 inference('cnf.neg', [status(esa)], [prove_l12_16])).
% 0.50/0.81 thf(zip_derived_cl15, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 (~ (greater @ (growth_rate @ efficient_producers @ (sk5 @ X0)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk5 @ X0)))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.81 (growth_rate @ first_movers @ X0))
% 0.50/0.81 | ~ (in_environment @ sk4 @ X0))),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.50/0.81 thf(zip_derived_cl41, plain,
% 0.50/0.81 ((~ (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk5 @ (sk2 @ sk4))) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk5 @ (sk2 @ sk4))))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk4)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk4))))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl15])).
% 0.50/0.81 thf(zip_derived_cl59, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 (~ (in_environment @ sk4 @ X0)
% 0.50/0.81 | (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ X0 @ sk4))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk4)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk4))))),
% 0.50/0.81 inference('clc', [status(thm)], [zip_derived_cl58, zip_derived_cl41])).
% 0.50/0.81 thf(zip_derived_cl61, plain,
% 0.50/0.81 (( (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ (sk3 @ sk4) @ sk4))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk4)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk4))))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl59])).
% 0.50/0.81 thf(zip_derived_cl21, plain, ( (in_environment @ sk4 @ (sk3 @ sk4))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl11])).
% 0.50/0.81 thf(mp_earliest_time_growth_rate_exceeds_6, 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 ( ~( 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_cl5, 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 | (greater_or_equal @ (sk1 @ X1 @ X0) @ X1)
% 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_6])).
% 0.50/0.81 thf(zip_derived_cl17, 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 @ (sk3 @ sk4))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @ X0)
% 0.50/0.81 | ~ (environment @ sk4))),
% 0.50/0.81 inference('dp-resolution', [status(thm)],
% 0.50/0.81 [zip_derived_cl12, zip_derived_cl10])).
% 0.50/0.81 thf(zip_derived_cl20, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i]:
% 0.50/0.81 ( (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.50/0.81 (growth_rate @ first_movers @ X1))
% 0.50/0.81 | ~ (greater @ X1 @ (sk2 @ X0))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.50/0.81 | ~ (in_environment @ X0 @ (sk3 @ sk4))
% 0.50/0.81 | ~ (environment @ X0)
% 0.50/0.81 | ~ (environment @ sk4)
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ (sk3 @ sk4) @ X0))
% 0.50/0.81 | (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk1 @ (sk3 @ sk4) @ X0)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk1 @ (sk3 @ sk4) @ X0))))),
% 0.50/0.81 inference('dp-resolution', [status(thm)],
% 0.50/0.81 [zip_derived_cl5, zip_derived_cl17])).
% 0.50/0.81 thf(zip_derived_cl11, plain, ( (environment @ sk4)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.81 thf(zip_derived_cl42, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i]:
% 0.50/0.81 ( (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.50/0.81 (growth_rate @ first_movers @ X1))
% 0.50/0.81 | ~ (greater @ X1 @ (sk2 @ X0))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.50/0.81 | ~ (in_environment @ X0 @ (sk3 @ sk4))
% 0.50/0.81 | ~ (environment @ X0)
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ (sk3 @ sk4) @ X0))
% 0.50/0.81 | (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk1 @ (sk3 @ sk4) @ X0)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk1 @ (sk3 @ sk4) @ X0))))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl11])).
% 0.50/0.81 thf(mp_earliest_time_growth_rate_exceeds_9, 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 ( ~( 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_cl8, 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 | ~ (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 | ~ (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_9])).
% 0.50/0.81 thf(zip_derived_cl43, plain,
% 0.50/0.81 (![X0 : $i, X1 : $i]:
% 0.50/0.81 (~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ (sk3 @ sk4) @ X0))
% 0.50/0.81 | ~ (environment @ X0)
% 0.50/0.81 | ~ (in_environment @ X0 @ (sk3 @ sk4))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.50/0.81 | ~ (greater @ X1 @ (sk2 @ 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('clc', [status(thm)], [zip_derived_cl42, zip_derived_cl8])).
% 0.50/0.81 thf(zip_derived_cl44, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 (~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ (sk3 @ sk4) @ sk4))
% 0.50/0.81 | ~ (environment @ sk4)
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @ X0)
% 0.50/0.81 | ~ (greater @ X0 @ (sk2 @ sk4))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.81 (growth_rate @ first_movers @ X0)))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl43])).
% 0.50/0.81 thf(zip_derived_cl11, plain, ( (environment @ sk4)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.81 thf(zip_derived_cl45, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 (~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ (sk3 @ sk4) @ sk4))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @ X0)
% 0.50/0.81 | ~ (greater @ X0 @ (sk2 @ sk4))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.81 (growth_rate @ first_movers @ X0)))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl11])).
% 0.50/0.81 thf(zip_derived_cl63, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 ( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk4)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk4)))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @ X0)
% 0.50/0.81 | ~ (greater @ X0 @ (sk2 @ sk4))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.50/0.81 (growth_rate @ first_movers @ X0)))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl45])).
% 0.50/0.81 thf(zip_derived_cl64, plain,
% 0.50/0.81 ((~ (in_environment @ sk4 @ (sk2 @ sk4))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk4)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk4)))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk4)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk4)))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk5 @ (sk2 @ sk4)))
% 0.50/0.81 | (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk5 @ (sk2 @ sk4))) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk5 @ (sk2 @ sk4)))))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl63])).
% 0.50/0.81 thf(zip_derived_cl39, plain, ( (in_environment @ sk4 @ (sk2 @ sk4))),
% 0.50/0.81 inference('simplify', [status(thm)], [zip_derived_cl38])).
% 0.50/0.81 thf(zip_derived_cl65, plain,
% 0.50/0.81 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk4)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk4)))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk4)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk4)))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk5 @ (sk2 @ sk4)))
% 0.50/0.81 | (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk5 @ (sk2 @ sk4))) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk5 @ (sk2 @ sk4)))))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl39])).
% 0.50/0.81 thf(zip_derived_cl66, plain,
% 0.50/0.81 (( (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk5 @ (sk2 @ sk4))) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk5 @ (sk2 @ sk4))))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk5 @ (sk2 @ sk4)))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk4)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk4))))),
% 0.50/0.81 inference('simplify', [status(thm)], [zip_derived_cl65])).
% 0.50/0.81 thf(zip_derived_cl41, plain,
% 0.50/0.81 ((~ (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk5 @ (sk2 @ sk4))) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk5 @ (sk2 @ sk4))))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk4)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk4))))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl15])).
% 0.50/0.81 thf(zip_derived_cl67, plain,
% 0.50/0.81 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk4)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk4)))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk5 @ (sk2 @ sk4))))),
% 0.50/0.81 inference('clc', [status(thm)], [zip_derived_cl66, zip_derived_cl41])).
% 0.50/0.81 thf(zip_derived_cl40, plain,
% 0.50/0.81 (( (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk5 @ (sk2 @ sk4)))
% 0.50/0.81 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk4)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk4))))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl13])).
% 0.50/0.81 thf(zip_derived_cl68, plain,
% 0.50/0.81 ( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk4)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk4)))),
% 0.50/0.81 inference('clc', [status(thm)], [zip_derived_cl67, zip_derived_cl40])).
% 0.50/0.81 thf(zip_derived_cl2, 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 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ X0)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ X0))))),
% 0.50/0.81 inference('cnf', [status(esa)], [mp_earliest_time_growth_rate_exceeds_3])).
% 0.50/0.81 thf(zip_derived_cl70, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 (~ (environment @ sk4)
% 0.50/0.81 | ~ (in_environment @ sk4 @ X0)
% 0.50/0.81 | (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ X0 @ sk4)))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl2])).
% 0.50/0.81 thf(zip_derived_cl11, plain, ( (environment @ sk4)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.81 thf(zip_derived_cl72, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 (~ (in_environment @ sk4 @ X0)
% 0.50/0.81 | (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ X0 @ sk4)))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl11])).
% 0.50/0.81 thf(zip_derived_cl21, plain, ( (in_environment @ sk4 @ (sk3 @ sk4))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl11])).
% 0.50/0.81 thf(mp_earliest_time_growth_rate_exceeds_5, 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 ( ~( greater @
% 0.50/0.81 ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @
% 0.50/0.81 ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ))).
% 0.50/0.81 thf(zip_derived_cl4, 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 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ X0)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ X0))))),
% 0.50/0.81 inference('cnf', [status(esa)], [mp_earliest_time_growth_rate_exceeds_5])).
% 0.50/0.81 thf(zip_derived_cl17, 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 @ (sk3 @ sk4))
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @ X0)
% 0.50/0.81 | ~ (environment @ sk4))),
% 0.50/0.81 inference('dp-resolution', [status(thm)],
% 0.50/0.81 [zip_derived_cl12, zip_derived_cl10])).
% 0.50/0.81 thf(zip_derived_cl19, plain,
% 0.50/0.81 (![X0 : $i]:
% 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 | ~ (in_environment @ X0 @ (sk3 @ sk4))
% 0.50/0.81 | ~ (environment @ X0)
% 0.50/0.81 | ~ (environment @ sk4)
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ (sk3 @ sk4) @ X0))
% 0.50/0.81 | (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk1 @ (sk3 @ sk4) @ X0)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk1 @ (sk3 @ sk4) @ X0))))),
% 0.50/0.81 inference('dp-resolution', [status(thm)],
% 0.50/0.81 [zip_derived_cl4, zip_derived_cl17])).
% 0.50/0.81 thf(zip_derived_cl11, plain, ( (environment @ sk4)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.81 thf(zip_derived_cl25, plain,
% 0.50/0.81 (![X0 : $i]:
% 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 | ~ (in_environment @ X0 @ (sk3 @ sk4))
% 0.50/0.81 | ~ (environment @ X0)
% 0.50/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ (sk3 @ sk4) @ X0))
% 0.50/0.81 | (greater @
% 0.50/0.81 (growth_rate @ efficient_producers @ (sk1 @ (sk3 @ sk4) @ X0)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk1 @ (sk3 @ sk4) @ X0))))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl19, zip_derived_cl11])).
% 0.50/0.81 thf(mp_earliest_time_growth_rate_exceeds_8, 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 ( ~( greater @
% 0.50/0.81 ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @
% 0.50/0.81 ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ))).
% 0.50/0.81 thf(zip_derived_cl7, 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 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ X0)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ X0))))),
% 0.50/0.81 inference('cnf', [status(esa)], [mp_earliest_time_growth_rate_exceeds_8])).
% 0.50/0.81 thf(zip_derived_cl26, plain,
% 0.50/0.81 (![X0 : $i]:
% 0.50/0.81 (~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ (sk3 @ sk4) @ X0))
% 0.50/0.81 | ~ (environment @ X0)
% 0.50/0.81 | ~ (in_environment @ X0 @ (sk3 @ sk4))
% 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 inference('clc', [status(thm)], [zip_derived_cl25, zip_derived_cl7])).
% 0.50/0.81 thf(zip_derived_cl27, plain,
% 0.50/0.81 ((~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ (sk3 @ sk4) @ sk4))
% 0.50/0.81 | ~ (environment @ sk4)
% 0.50/0.81 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk4)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk4))))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl26])).
% 0.50/0.81 thf(zip_derived_cl11, plain, ( (environment @ sk4)),
% 0.50/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.81 thf(zip_derived_cl28, plain,
% 0.50/0.81 ((~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ (sk3 @ sk4) @ sk4))
% 0.50/0.81 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk4)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk4))))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl11])).
% 0.50/0.81 thf(zip_derived_cl68, plain,
% 0.50/0.81 ( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk4)) @
% 0.50/0.81 (growth_rate @ first_movers @ (sk2 @ sk4)))),
% 0.50/0.81 inference('clc', [status(thm)], [zip_derived_cl67, zip_derived_cl40])).
% 0.50/0.81 thf(zip_derived_cl69, plain,
% 0.50/0.81 (~ (subpopulations @ first_movers @ efficient_producers @ sk4 @
% 0.50/0.81 (sk1 @ (sk3 @ sk4) @ sk4))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl68])).
% 0.50/0.81 thf(zip_derived_cl78, plain, (~ (in_environment @ sk4 @ (sk3 @ sk4))),
% 0.50/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl69])).
% 0.50/0.81 thf(zip_derived_cl21, plain, ( (in_environment @ sk4 @ (sk3 @ sk4))),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl11])).
% 0.50/0.81 thf(zip_derived_cl79, plain, ($false),
% 0.50/0.81 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl21])).
% 0.50/0.81
% 0.50/0.81 % SZS output end Refutation
% 0.50/0.81
% 0.50/0.81
% 0.50/0.81 % Terminating...
% 0.50/0.85 % Runner terminated.
% 0.50/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------