%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT025-1 : 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.OXTtRNiDtd true
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:49 AM UTC 2026
% Result : Unsatisfiable 0.47s 0.81s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT025-1 : 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.OXTtRNiDtd true
% 0.09/0.35 % Computer : n010.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 7 12:11:41 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Running portfolio for 300 s
% 0.12/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Number of cores: 8
% 0.12/0.36 % Python version: Python 3.12.3
% 0.12/0.37 % Running in FO mode
% 0.44/0.63 % Total configuration time : 435
% 0.44/0.63 % Estimated wc time : 1092
% 0.44/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.81 % Solved by fo/fo6_bce.sh.
% 0.47/0.81 % BCE start: 26
% 0.47/0.81 % BCE eliminated: 1
% 0.47/0.81 % PE start: 25
% 0.47/0.81 logic: eq
% 0.47/0.81 % PE eliminated: -2
% 0.47/0.81 % done 127 iterations in 0.075s
% 0.47/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.47/0.81 % SZS output start Refutation
% 0.47/0.81 thf(zero_type, type, zero: $i).
% 0.47/0.81 thf(sk2_type, type, sk2: $i).
% 0.47/0.81 thf(growth_rate_type, type, growth_rate: $i > $i > $i).
% 0.47/0.81 thf(first_movers_type, type, first_movers: $i).
% 0.47/0.81 thf(environment_type, type, environment: $i > $o).
% 0.47/0.81 thf(subpopulation_type, type, subpopulation: $i > $i > $i > $o).
% 0.47/0.81 thf(cardinality_at_time_type, type, cardinality_at_time: $i > $i > $i).
% 0.47/0.81 thf(subpopulations_type, type, subpopulations: $i > $i > $i > $i > $o).
% 0.47/0.81 thf(constant_type, type, constant: $i > $o).
% 0.47/0.81 thf(in_environment_type, type, in_environment: $i > $i > $o).
% 0.47/0.81 thf(sk1_type, type, sk1: $i).
% 0.47/0.81 thf(increases_type, type, increases: $i > $o).
% 0.47/0.81 thf(number_of_organizations_type, type, number_of_organizations: $i > $i > $i).
% 0.47/0.81 thf(greater_type, type, greater: $i > $i > $o).
% 0.47/0.81 thf(decreases_type, type, decreases: $i > $o).
% 0.47/0.81 thf(efficient_producers_type, type, efficient_producers: $i).
% 0.47/0.81 thf(sum_type, type, sum: $i > $i > $i).
% 0.47/0.81 thf(prove_l7_48, conjecture,
% 0.47/0.81 (~( subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2 ))).
% 0.47/0.81 thf(zf_stmt_0, negated_conjecture,
% 0.47/0.81 (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2),
% 0.47/0.81 inference('cnf.neg', [status(esa)], [prove_l7_48])).
% 0.47/0.81 thf(zip_derived_cl21, plain,
% 0.47/0.81 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.81 thf(mp_time_point_occur_45, axiom,
% 0.47/0.81 (( ~( environment @ A ) ) |
% 0.47/0.81 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.47/0.81 ( in_environment @ A @ B ))).
% 0.47/0.81 thf(zip_derived_cl18, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.47/0.81 | (in_environment @ X0 @ X1))),
% 0.47/0.81 inference('cnf', [status(esa)], [mp_time_point_occur_45])).
% 0.47/0.81 thf(zip_derived_cl196, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | (in_environment @ X0 @ X1)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl21, zip_derived_cl18])).
% 0.47/0.81 thf(mp_subpopulations_30, axiom,
% 0.47/0.81 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.47/0.81 ( subpopulation @ first_movers @ A @ B ))).
% 0.47/0.81 thf(zip_derived_cl3, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ~ (in_environment @ X0 @ X1)
% 0.47/0.81 | (subpopulation @ first_movers @ X0 @ X1))),
% 0.47/0.81 inference('cnf', [status(esa)], [mp_subpopulations_30])).
% 0.47/0.81 thf(zip_derived_cl197, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | (subpopulation @ first_movers @ X0 @ X1)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl196, zip_derived_cl3])).
% 0.47/0.81 thf(zip_derived_cl196, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | (in_environment @ X0 @ X1)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl21, zip_derived_cl18])).
% 0.47/0.81 thf(mp_growth_rate_41, axiom,
% 0.47/0.81 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.47/0.81 ( ~( subpopulation @ C @ A @ B ) ) |
% 0.47/0.81 ( ~( greater @ ( cardinality_at_time @ C @ B ) @ zero ) ) |
% 0.47/0.81 ( ~( increases @ ( cardinality_at_time @ C @ B ) ) ) |
% 0.47/0.81 ( greater @ ( growth_rate @ C @ B ) @ zero ))).
% 0.47/0.81 thf(zip_derived_cl14, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ~ (in_environment @ X0 @ X1)
% 0.47/0.81 | ~ (subpopulation @ X2 @ X0 @ X1)
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ X2 @ X1) @ zero)
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ X2 @ X1))
% 0.47/0.81 | (greater @ (growth_rate @ X2 @ X1) @ zero))),
% 0.47/0.81 inference('cnf', [status(esa)], [mp_growth_rate_41])).
% 0.47/0.81 thf(zip_derived_cl200, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | (greater @ (growth_rate @ X2 @ X1) @ zero)
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ X2 @ X1))
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ X2 @ X1) @ zero)
% 0.47/0.81 | ~ (subpopulation @ X2 @ X0 @ X1)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl196, zip_derived_cl14])).
% 0.47/0.81 thf(zip_derived_cl206, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (environment @ X0)
% 0.47/0.81 | ~ (environment @ X0)
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ first_movers @ X1))
% 0.47/0.81 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl197, zip_derived_cl200])).
% 0.47/0.81 thf(zip_derived_cl262, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 ( (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ first_movers @ X1))
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl206])).
% 0.47/0.81 thf(zip_derived_cl21, plain,
% 0.47/0.81 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.81 thf(mp_non_zero_producers_43, axiom,
% 0.47/0.81 (( ~( environment @ A ) ) |
% 0.47/0.81 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.47/0.81 ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero ))).
% 0.47/0.81 thf(zip_derived_cl16, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.47/0.81 | (greater @ (cardinality_at_time @ first_movers @ X1) @ zero))),
% 0.47/0.81 inference('cnf', [status(esa)], [mp_non_zero_producers_43])).
% 0.47/0.81 thf(zip_derived_cl190, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl21, zip_derived_cl16])).
% 0.47/0.81 thf(zip_derived_cl215, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0)))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl190])).
% 0.47/0.81 thf(zip_derived_cl263, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ first_movers @ X1))
% 0.47/0.81 | (greater @ (growth_rate @ first_movers @ X1) @ zero))),
% 0.47/0.81 inference('clc', [status(thm)], [zip_derived_cl262, zip_derived_cl215])).
% 0.47/0.81 thf(zip_derived_cl264, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 ( (greater @ (growth_rate @ first_movers @ X0) @ zero)
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | ((sk2) != (X0))
% 0.47/0.81 | ~ (environment @ sk1))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl263])).
% 0.47/0.81 thf(prove_l7_47, conjecture, (~( environment @ sk1 ))).
% 0.47/0.81 thf(zf_stmt_1, negated_conjecture, (environment @ sk1),
% 0.47/0.81 inference('cnf.neg', [status(esa)], [prove_l7_47])).
% 0.47/0.81 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.47/0.81 thf(zip_derived_cl265, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 ( (greater @ (growth_rate @ first_movers @ X0) @ zero)
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | ((sk2) != (X0)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl264, zip_derived_cl20])).
% 0.47/0.81 thf(zip_derived_cl196, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | (in_environment @ X0 @ X1)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl21, zip_derived_cl18])).
% 0.47/0.81 thf(mp_subpopulations_31, axiom,
% 0.47/0.81 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.47/0.81 ( subpopulation @ efficient_producers @ A @ B ))).
% 0.47/0.81 thf(zip_derived_cl4, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ~ (in_environment @ X0 @ X1)
% 0.47/0.81 | (subpopulation @ efficient_producers @ X0 @ X1))),
% 0.47/0.81 inference('cnf', [status(esa)], [mp_subpopulations_31])).
% 0.47/0.81 thf(zip_derived_cl198, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | (subpopulation @ efficient_producers @ X0 @ X1)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl196, zip_derived_cl4])).
% 0.47/0.81 thf(zip_derived_cl196, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | (in_environment @ X0 @ X1)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl21, zip_derived_cl18])).
% 0.47/0.81 thf(mp_growth_rate_42, axiom,
% 0.47/0.81 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.47/0.81 ( ~( subpopulation @ C @ A @ B ) ) |
% 0.47/0.81 ( ~( greater @ ( cardinality_at_time @ C @ B ) @ zero ) ) |
% 0.47/0.81 ( ~( decreases @ ( cardinality_at_time @ C @ B ) ) ) |
% 0.47/0.81 ( greater @ zero @ ( growth_rate @ C @ B ) ))).
% 0.47/0.81 thf(zip_derived_cl15, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ~ (in_environment @ X0 @ X1)
% 0.47/0.81 | ~ (subpopulation @ X2 @ X0 @ X1)
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ X2 @ X1) @ zero)
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ X2 @ X1))
% 0.47/0.81 | (greater @ zero @ (growth_rate @ X2 @ X1)))),
% 0.47/0.81 inference('cnf', [status(esa)], [mp_growth_rate_42])).
% 0.47/0.81 thf(zip_derived_cl201, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | (greater @ zero @ (growth_rate @ X2 @ X1))
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ X2 @ X1))
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ X2 @ X1) @ zero)
% 0.47/0.81 | ~ (subpopulation @ X2 @ X0 @ X1)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl196, zip_derived_cl15])).
% 0.47/0.81 thf(zip_derived_cl213, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (environment @ X0)
% 0.47/0.81 | ~ (environment @ X0)
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X1) @
% 0.47/0.81 zero)
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ efficient_producers @ X1))
% 0.47/0.81 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl198, zip_derived_cl201])).
% 0.47/0.81 thf(zip_derived_cl302, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 ( (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ efficient_producers @ X1))
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X1) @
% 0.47/0.81 zero)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl213])).
% 0.47/0.81 thf(zip_derived_cl21, plain,
% 0.47/0.81 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.81 thf(mp_non_zero_producers_44, axiom,
% 0.47/0.81 (( ~( environment @ A ) ) |
% 0.47/0.81 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.47/0.81 ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ))).
% 0.47/0.81 thf(zip_derived_cl17, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.47/0.81 | (greater @ (cardinality_at_time @ efficient_producers @ X1) @ zero))),
% 0.47/0.81 inference('cnf', [status(esa)], [mp_non_zero_producers_44])).
% 0.47/0.81 thf(zip_derived_cl193, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | (greater @ (cardinality_at_time @ efficient_producers @ X1) @ zero)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl21, zip_derived_cl17])).
% 0.47/0.81 thf(zip_derived_cl220, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | (greater @ (cardinality_at_time @ efficient_producers @ X1) @ zero)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0)))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl193])).
% 0.47/0.81 thf(zip_derived_cl303, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ efficient_producers @ X1))
% 0.47/0.81 | (greater @ zero @ (growth_rate @ efficient_producers @ X1)))),
% 0.47/0.81 inference('clc', [status(thm)], [zip_derived_cl302, zip_derived_cl220])).
% 0.47/0.81 thf(zip_derived_cl304, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 ( (greater @ zero @ (growth_rate @ efficient_producers @ X0))
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | ((sk2) != (X0))
% 0.47/0.81 | ~ (environment @ sk1))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl303])).
% 0.47/0.81 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.47/0.81 thf(zip_derived_cl305, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 ( (greater @ zero @ (growth_rate @ efficient_producers @ X0))
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | ((sk2) != (X0)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl304, zip_derived_cl20])).
% 0.47/0.81 thf(prove_l7_51, conjecture,
% 0.47/0.81 (~( ( ~( greater @ zero @ ( growth_rate @ efficient_producers @ sk2 ) ) ) |
% 0.47/0.81 ( ~( greater @ ( growth_rate @ first_movers @ sk2 ) @ zero ) ) ))).
% 0.47/0.81 thf(zf_stmt_2, negated_conjecture,
% 0.47/0.81 (( ~( greater @ zero @ ( growth_rate @ efficient_producers @ sk2 ) ) ) |
% 0.47/0.81 ( ~( greater @ ( growth_rate @ first_movers @ sk2 ) @ zero ) )),
% 0.47/0.81 inference('cnf.neg', [status(esa)], [prove_l7_51])).
% 0.47/0.81 thf(zip_derived_cl24, plain,
% 0.47/0.81 ((~ (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 0.47/0.81 | ~ (greater @ (growth_rate @ first_movers @ sk2) @ zero))),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.47/0.81 thf(zip_derived_cl310, plain,
% 0.47/0.81 ((((sk2) != (sk2))
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ efficient_producers @ sk2))
% 0.47/0.81 | ~ (greater @ (growth_rate @ first_movers @ sk2) @ zero))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl305, zip_derived_cl24])).
% 0.47/0.81 thf(zip_derived_cl313, plain,
% 0.47/0.81 ((~ (greater @ (growth_rate @ first_movers @ sk2) @ zero)
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl310])).
% 0.47/0.81 thf(zip_derived_cl197, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | (subpopulation @ first_movers @ X0 @ X1)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl196, zip_derived_cl3])).
% 0.47/0.81 thf(mp_only_members_29, axiom,
% 0.47/0.81 (( ~( environment @ A ) ) | ( ~( subpopulation @ B @ A @ C ) ) |
% 0.47/0.81 ( ( B ) != ( first_movers ) ) |
% 0.47/0.81 ( ( number_of_organizations @ A @ C ) =
% 0.47/0.81 ( sum @
% 0.47/0.81 ( cardinality_at_time @ first_movers @ C ) @
% 0.47/0.81 ( cardinality_at_time @ efficient_producers @ C ) ) ))).
% 0.47/0.81 thf(zip_derived_cl2, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ~ (subpopulation @ X1 @ X0 @ X2)
% 0.47/0.81 | ((X1) != (first_movers))
% 0.47/0.81 | ((number_of_organizations @ X0 @ X2)
% 0.47/0.81 = (sum @ (cardinality_at_time @ first_movers @ X2) @
% 0.47/0.81 (cardinality_at_time @ efficient_producers @ X2))))),
% 0.47/0.81 inference('cnf', [status(esa)], [mp_only_members_29])).
% 0.47/0.81 thf(zip_derived_cl204, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (environment @ X0)
% 0.47/0.81 | ((number_of_organizations @ X0 @ X1)
% 0.47/0.81 = (sum @ (cardinality_at_time @ first_movers @ X1) @
% 0.47/0.81 (cardinality_at_time @ efficient_producers @ X1)))
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl197, zip_derived_cl2])).
% 0.47/0.81 thf(zip_derived_cl225, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (((number_of_organizations @ X0 @ X1)
% 0.47/0.81 = (sum @ (cardinality_at_time @ first_movers @ X1) @
% 0.47/0.81 (cardinality_at_time @ efficient_producers @ X1)))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl204])).
% 0.47/0.81 thf(mp_abc_sum_increase_39, axiom,
% 0.47/0.81 (( ( A ) != ( sum @ B @ C ) ) | ( ~( constant @ A ) ) | ( constant @ C ) |
% 0.47/0.81 ( decreases @ C ) | ( increases @ C ))).
% 0.47/0.81 thf(zip_derived_cl12, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (((X2) != (sum @ X0 @ X1))
% 0.47/0.81 | ~ (constant @ X2)
% 0.47/0.81 | (constant @ X1)
% 0.47/0.81 | (decreases @ X1)
% 0.47/0.81 | (increases @ X1))),
% 0.47/0.81 inference('cnf', [status(esa)], [mp_abc_sum_increase_39])).
% 0.47/0.81 thf(zip_derived_cl249, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (~ (environment @ X1)
% 0.47/0.81 | ((sk1) != (X1))
% 0.47/0.81 | ((sk2) != (X0))
% 0.47/0.81 | ((X2) != (number_of_organizations @ X1 @ X0))
% 0.47/0.81 | ~ (constant @ X2)
% 0.47/0.81 | (constant @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | (increases @ (cardinality_at_time @ efficient_producers @ X0)))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl225, zip_derived_cl12])).
% 0.47/0.81 thf(zip_derived_cl403, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 ( (increases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | (constant @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | ~ (constant @ X1)
% 0.47/0.81 | ((X1) != (number_of_organizations @ sk1 @ X0))
% 0.47/0.81 | ((sk2) != (X0))
% 0.47/0.81 | ~ (environment @ sk1))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl249])).
% 0.47/0.81 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.47/0.81 thf(zip_derived_cl404, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 ( (increases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | (constant @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | ~ (constant @ X1)
% 0.47/0.81 | ((X1) != (number_of_organizations @ sk1 @ X0))
% 0.47/0.81 | ((sk2) != (X0)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl403, zip_derived_cl20])).
% 0.47/0.81 thf(zip_derived_cl413, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 (((X0) != (number_of_organizations @ sk1 @ sk2))
% 0.47/0.81 | ~ (constant @ X0)
% 0.47/0.81 | (constant @ (cardinality_at_time @ efficient_producers @ sk2))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ efficient_producers @ sk2))
% 0.47/0.81 | (increases @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl404])).
% 0.47/0.81 thf(zip_derived_cl197, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | (subpopulation @ first_movers @ X0 @ X1)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl196, zip_derived_cl3])).
% 0.47/0.81 thf(zip_derived_cl196, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | (in_environment @ X0 @ X1)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl21, zip_derived_cl18])).
% 0.47/0.81 thf(mp_growth_rate_40, axiom,
% 0.47/0.81 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.47/0.81 ( ~( subpopulation @ C @ A @ B ) ) |
% 0.47/0.81 ( ~( greater @ ( cardinality_at_time @ C @ B ) @ zero ) ) |
% 0.47/0.81 ( ~( constant @ ( cardinality_at_time @ C @ B ) ) ) |
% 0.47/0.81 ( ( growth_rate @ C @ B ) = ( zero ) ))).
% 0.47/0.81 thf(zip_derived_cl13, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ~ (in_environment @ X0 @ X1)
% 0.47/0.81 | ~ (subpopulation @ X2 @ X0 @ X1)
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ X2 @ X1) @ zero)
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ X2 @ X1))
% 0.47/0.81 | ((growth_rate @ X2 @ X1) = (zero)))),
% 0.47/0.81 inference('cnf', [status(esa)], [mp_growth_rate_40])).
% 0.47/0.81 thf(zip_derived_cl199, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | ((growth_rate @ X2 @ X1) = (zero))
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ X2 @ X1))
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ X2 @ X1) @ zero)
% 0.47/0.81 | ~ (subpopulation @ X2 @ X0 @ X1)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl196, zip_derived_cl13])).
% 0.47/0.81 thf(zip_derived_cl205, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (environment @ X0)
% 0.47/0.81 | ~ (environment @ X0)
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ first_movers @ X1))
% 0.47/0.81 | ((growth_rate @ first_movers @ X1) = (zero))
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl197, zip_derived_cl199])).
% 0.47/0.81 thf(zip_derived_cl254, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (((growth_rate @ first_movers @ X1) = (zero))
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ first_movers @ X1))
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl205])).
% 0.47/0.81 thf(zip_derived_cl215, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0)))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl190])).
% 0.47/0.81 thf(zip_derived_cl255, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ first_movers @ X1))
% 0.47/0.81 | ((growth_rate @ first_movers @ X1) = (zero)))),
% 0.47/0.81 inference('clc', [status(thm)], [zip_derived_cl254, zip_derived_cl215])).
% 0.47/0.81 thf(zip_derived_cl256, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 (((growth_rate @ first_movers @ X0) = (zero))
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | ((sk2) != (X0))
% 0.47/0.81 | ~ (environment @ sk1))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl255])).
% 0.47/0.81 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.47/0.81 thf(zip_derived_cl257, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 (((growth_rate @ first_movers @ X0) = (zero))
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | ((sk2) != (X0)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl256, zip_derived_cl20])).
% 0.47/0.81 thf(zip_derived_cl198, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | (subpopulation @ efficient_producers @ X0 @ X1)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl196, zip_derived_cl4])).
% 0.47/0.81 thf(zip_derived_cl199, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | ((growth_rate @ X2 @ X1) = (zero))
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ X2 @ X1))
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ X2 @ X1) @ zero)
% 0.47/0.81 | ~ (subpopulation @ X2 @ X0 @ X1)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl196, zip_derived_cl13])).
% 0.47/0.81 thf(zip_derived_cl211, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (environment @ X0)
% 0.47/0.81 | ~ (environment @ X0)
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X1) @
% 0.47/0.81 zero)
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ efficient_producers @ X1))
% 0.47/0.81 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl198, zip_derived_cl199])).
% 0.47/0.81 thf(zip_derived_cl285, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (((growth_rate @ efficient_producers @ X1) = (zero))
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ efficient_producers @ X1))
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X1) @
% 0.47/0.81 zero)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl211])).
% 0.47/0.81 thf(zip_derived_cl220, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | (greater @ (cardinality_at_time @ efficient_producers @ X1) @ zero)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0)))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl193])).
% 0.47/0.81 thf(zip_derived_cl286, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ efficient_producers @ X1))
% 0.47/0.81 | ((growth_rate @ efficient_producers @ X1) = (zero)))),
% 0.47/0.81 inference('clc', [status(thm)], [zip_derived_cl285, zip_derived_cl220])).
% 0.47/0.81 thf(zip_derived_cl287, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 (((growth_rate @ efficient_producers @ X0) = (zero))
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | ((sk2) != (X0))
% 0.47/0.81 | ~ (environment @ sk1))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl286])).
% 0.47/0.81 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.47/0.81 thf(zip_derived_cl288, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 (((growth_rate @ efficient_producers @ X0) = (zero))
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | ((sk2) != (X0)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl287, zip_derived_cl20])).
% 0.47/0.81 thf(prove_l7_50, conjecture,
% 0.47/0.81 (~( ( ( growth_rate @ efficient_producers @ sk2 ) != ( zero ) ) |
% 0.47/0.81 ( ( growth_rate @ first_movers @ sk2 ) != ( zero ) ) ))).
% 0.47/0.81 thf(zf_stmt_3, negated_conjecture,
% 0.47/0.81 (( ( growth_rate @ efficient_producers @ sk2 ) != ( zero ) ) |
% 0.47/0.81 ( ( growth_rate @ first_movers @ sk2 ) != ( zero ) )),
% 0.47/0.81 inference('cnf.neg', [status(esa)], [prove_l7_50])).
% 0.47/0.81 thf(zip_derived_cl23, plain,
% 0.47/0.81 ((((growth_rate @ efficient_producers @ sk2) != (zero))
% 0.47/0.81 | ((growth_rate @ first_movers @ sk2) != (zero)))),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.47/0.81 thf(zip_derived_cl289, plain,
% 0.47/0.81 ((((sk2) != (sk2))
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ efficient_producers @ sk2))
% 0.47/0.81 | ((zero) != (zero))
% 0.47/0.81 | ((growth_rate @ first_movers @ sk2) != (zero)))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl288, zip_derived_cl23])).
% 0.47/0.81 thf(zip_derived_cl291, plain,
% 0.47/0.81 ((((growth_rate @ first_movers @ sk2) != (zero))
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl289])).
% 0.47/0.81 thf(zip_derived_cl293, plain,
% 0.47/0.81 ((((sk2) != (sk2))
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | ((zero) != (zero))
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl257, zip_derived_cl291])).
% 0.47/0.81 thf(zip_derived_cl294, plain,
% 0.47/0.81 ((~ (constant @ (cardinality_at_time @ efficient_producers @ sk2))
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl293])).
% 0.47/0.81 thf(zip_derived_cl265, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 ( (greater @ (growth_rate @ first_movers @ X0) @ zero)
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | ((sk2) != (X0)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl264, zip_derived_cl20])).
% 0.47/0.81 thf(zip_derived_cl225, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (((number_of_organizations @ X0 @ X1)
% 0.47/0.81 = (sum @ (cardinality_at_time @ first_movers @ X1) @
% 0.47/0.81 (cardinality_at_time @ efficient_producers @ X1)))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl204])).
% 0.47/0.81 thf(mp_abc_sum_increase_35, axiom,
% 0.47/0.81 (( ( A ) != ( sum @ B @ C ) ) | ( ~( constant @ A ) ) | ( constant @ B ) |
% 0.47/0.81 ( decreases @ C ) | ( increases @ C ))).
% 0.47/0.81 thf(zip_derived_cl8, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (((X2) != (sum @ X0 @ X1))
% 0.47/0.81 | ~ (constant @ X2)
% 0.47/0.81 | (constant @ X0)
% 0.47/0.81 | (decreases @ X1)
% 0.47/0.81 | (increases @ X1))),
% 0.47/0.81 inference('cnf', [status(esa)], [mp_abc_sum_increase_35])).
% 0.47/0.81 thf(zip_derived_cl235, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (~ (environment @ X1)
% 0.47/0.81 | ((sk1) != (X1))
% 0.47/0.81 | ((sk2) != (X0))
% 0.47/0.81 | ((X2) != (number_of_organizations @ X1 @ X0))
% 0.47/0.81 | ~ (constant @ X2)
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | (increases @ (cardinality_at_time @ efficient_producers @ X0)))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl225, zip_derived_cl8])).
% 0.47/0.81 thf(zip_derived_cl331, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 ( (increases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | ~ (constant @ X1)
% 0.47/0.81 | ((X1) != (number_of_organizations @ sk1 @ X0))
% 0.47/0.81 | ((sk2) != (X0))
% 0.47/0.81 | ~ (environment @ sk1))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl235])).
% 0.47/0.81 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.47/0.81 thf(zip_derived_cl332, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 ( (increases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | ~ (constant @ X1)
% 0.47/0.81 | ((X1) != (number_of_organizations @ sk1 @ X0))
% 0.47/0.81 | ((sk2) != (X0)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl331, zip_derived_cl20])).
% 0.47/0.81 thf(zip_derived_cl346, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 (((X0) != (number_of_organizations @ sk1 @ sk2))
% 0.47/0.81 | ~ (constant @ X0)
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ efficient_producers @ sk2))
% 0.47/0.81 | (increases @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl332])).
% 0.47/0.81 thf(zip_derived_cl198, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | (subpopulation @ efficient_producers @ X0 @ X1)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl196, zip_derived_cl4])).
% 0.47/0.81 thf(zip_derived_cl200, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | (greater @ (growth_rate @ X2 @ X1) @ zero)
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ X2 @ X1))
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ X2 @ X1) @ zero)
% 0.47/0.81 | ~ (subpopulation @ X2 @ X0 @ X1)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl196, zip_derived_cl14])).
% 0.47/0.81 thf(zip_derived_cl212, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (environment @ X0)
% 0.47/0.81 | ~ (environment @ X0)
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X1) @
% 0.47/0.81 zero)
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ efficient_producers @ X1))
% 0.47/0.81 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero)
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl198, zip_derived_cl200])).
% 0.47/0.81 thf(zip_derived_cl295, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 ( (greater @ (growth_rate @ efficient_producers @ X1) @ zero)
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ efficient_producers @ X1))
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X1) @
% 0.47/0.81 zero)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl212])).
% 0.47/0.81 thf(zip_derived_cl220, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | (greater @ (cardinality_at_time @ efficient_producers @ X1) @ zero)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0)))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl193])).
% 0.47/0.81 thf(zip_derived_cl296, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ efficient_producers @ X1))
% 0.47/0.81 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero))),
% 0.47/0.81 inference('clc', [status(thm)], [zip_derived_cl295, zip_derived_cl220])).
% 0.47/0.81 thf(zip_derived_cl297, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 ( (greater @ (growth_rate @ efficient_producers @ X0) @ zero)
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | ((sk2) != (X0))
% 0.47/0.81 | ~ (environment @ sk1))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl296])).
% 0.47/0.81 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.47/0.81 thf(zip_derived_cl298, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 ( (greater @ (growth_rate @ efficient_producers @ X0) @ zero)
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | ((sk2) != (X0)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl297, zip_derived_cl20])).
% 0.47/0.81 thf(zip_derived_cl265, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 ( (greater @ (growth_rate @ first_movers @ X0) @ zero)
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | ((sk2) != (X0)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl264, zip_derived_cl20])).
% 0.47/0.81 thf(zip_derived_cl225, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (((number_of_organizations @ X0 @ X1)
% 0.47/0.81 = (sum @ (cardinality_at_time @ first_movers @ X1) @
% 0.47/0.81 (cardinality_at_time @ efficient_producers @ X1)))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl204])).
% 0.47/0.81 thf(mp_abc_sum_increase_34, axiom,
% 0.47/0.81 (( ( A ) != ( sum @ B @ C ) ) | ( ~( constant @ A ) ) | ( constant @ B ) |
% 0.47/0.81 ( decreases @ C ) | ( decreases @ B ))).
% 0.47/0.81 thf(zip_derived_cl7, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (((X2) != (sum @ X0 @ X1))
% 0.47/0.81 | ~ (constant @ X2)
% 0.47/0.81 | (constant @ X0)
% 0.47/0.81 | (decreases @ X1)
% 0.47/0.81 | (decreases @ X0))),
% 0.47/0.81 inference('cnf', [status(esa)], [mp_abc_sum_increase_34])).
% 0.47/0.81 thf(zip_derived_cl228, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (~ (environment @ X1)
% 0.47/0.81 | ((sk1) != (X1))
% 0.47/0.81 | ((sk2) != (X0))
% 0.47/0.81 | ((X2) != (number_of_organizations @ X1 @ X0))
% 0.47/0.81 | ~ (constant @ X2)
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ first_movers @ X0)))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl225, zip_derived_cl7])).
% 0.47/0.81 thf(zip_derived_cl326, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 ( (decreases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | ~ (constant @ X1)
% 0.47/0.81 | ((X1) != (number_of_organizations @ sk1 @ X0))
% 0.47/0.81 | ((sk2) != (X0))
% 0.47/0.81 | ~ (environment @ sk1))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl228])).
% 0.47/0.81 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.47/0.81 thf(zip_derived_cl327, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 ( (decreases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | ~ (constant @ X1)
% 0.47/0.81 | ((X1) != (number_of_organizations @ sk1 @ X0))
% 0.47/0.81 | ((sk2) != (X0)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl326, zip_derived_cl20])).
% 0.47/0.81 thf(zip_derived_cl328, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 (((X0) != (number_of_organizations @ sk1 @ sk2))
% 0.47/0.81 | ~ (constant @ X0)
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ efficient_producers @ sk2))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl327])).
% 0.47/0.81 thf(zip_derived_cl329, plain,
% 0.47/0.81 (( (decreases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ efficient_producers @ sk2))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | ~ (constant @ (number_of_organizations @ sk1 @ sk2)))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl328])).
% 0.47/0.81 thf(prove_l7_49, conjecture,
% 0.47/0.81 (~( constant @ ( number_of_organizations @ sk1 @ sk2 ) ))).
% 0.47/0.81 thf(zf_stmt_4, negated_conjecture,
% 0.47/0.81 (constant @ ( number_of_organizations @ sk1 @ sk2 )),
% 0.47/0.81 inference('cnf.neg', [status(esa)], [prove_l7_49])).
% 0.47/0.81 thf(zip_derived_cl22, plain,
% 0.47/0.81 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.47/0.81 thf(zip_derived_cl330, plain,
% 0.47/0.81 (( (decreases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ efficient_producers @ sk2))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl329, zip_derived_cl22])).
% 0.47/0.81 thf(zip_derived_cl313, plain,
% 0.47/0.81 ((~ (greater @ (growth_rate @ first_movers @ sk2) @ zero)
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl310])).
% 0.47/0.81 thf(zip_derived_cl333, plain,
% 0.47/0.81 (( (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | ~ (greater @ (growth_rate @ first_movers @ sk2) @ zero))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl330, zip_derived_cl313])).
% 0.47/0.81 thf(zip_derived_cl334, plain,
% 0.47/0.81 ((((sk2) != (sk2))
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl265, zip_derived_cl333])).
% 0.47/0.81 thf(zip_derived_cl336, plain,
% 0.47/0.81 (( (decreases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl334])).
% 0.47/0.81 thf(zip_derived_cl225, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (((number_of_organizations @ X0 @ X1)
% 0.47/0.81 = (sum @ (cardinality_at_time @ first_movers @ X1) @
% 0.47/0.81 (cardinality_at_time @ efficient_producers @ X1)))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl204])).
% 0.47/0.81 thf(mp_abc_sum_increase_33, axiom,
% 0.47/0.81 (( ( A ) != ( sum @ B @ C ) ) | ( ~( constant @ A ) ) | ( constant @ B ) |
% 0.47/0.81 ( increases @ B ) | ( increases @ C ))).
% 0.47/0.81 thf(zip_derived_cl6, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (((X2) != (sum @ X0 @ X1))
% 0.47/0.81 | ~ (constant @ X2)
% 0.47/0.81 | (constant @ X0)
% 0.47/0.81 | (increases @ X0)
% 0.47/0.81 | (increases @ X1))),
% 0.47/0.81 inference('cnf', [status(esa)], [mp_abc_sum_increase_33])).
% 0.47/0.81 thf(zip_derived_cl227, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (~ (environment @ X1)
% 0.47/0.81 | ((sk1) != (X1))
% 0.47/0.81 | ((sk2) != (X0))
% 0.47/0.81 | ((X2) != (number_of_organizations @ X1 @ X0))
% 0.47/0.81 | ~ (constant @ X2)
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (increases @ (cardinality_at_time @ efficient_producers @ X0)))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl225, zip_derived_cl6])).
% 0.47/0.81 thf(zip_derived_cl318, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 ( (increases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | ~ (constant @ X1)
% 0.47/0.81 | ((X1) != (number_of_organizations @ sk1 @ X0))
% 0.47/0.81 | ((sk2) != (X0))
% 0.47/0.81 | ~ (environment @ sk1))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl227])).
% 0.47/0.81 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.47/0.81 thf(zip_derived_cl319, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 ( (increases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | ~ (constant @ X1)
% 0.47/0.81 | ((X1) != (number_of_organizations @ sk1 @ X0))
% 0.47/0.81 | ((sk2) != (X0)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl318, zip_derived_cl20])).
% 0.47/0.81 thf(zip_derived_cl322, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 (((X0) != (number_of_organizations @ sk1 @ sk2))
% 0.47/0.81 | ~ (constant @ X0)
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (increases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (increases @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl319])).
% 0.47/0.81 thf(zip_derived_cl298, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 ( (greater @ (growth_rate @ efficient_producers @ X0) @ zero)
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | ((sk2) != (X0)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl297, zip_derived_cl20])).
% 0.47/0.81 thf(zip_derived_cl225, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (((number_of_organizations @ X0 @ X1)
% 0.47/0.81 = (sum @ (cardinality_at_time @ first_movers @ X1) @
% 0.47/0.81 (cardinality_at_time @ efficient_producers @ X1)))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl204])).
% 0.47/0.81 thf(mp_abc_sum_increase_32, axiom,
% 0.47/0.81 (( ( A ) != ( sum @ B @ C ) ) | ( ~( constant @ A ) ) | ( constant @ B ) |
% 0.47/0.81 ( increases @ B ) | ( decreases @ B ))).
% 0.47/0.81 thf(zip_derived_cl5, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (((X2) != (sum @ X0 @ X1))
% 0.47/0.81 | ~ (constant @ X2)
% 0.47/0.81 | (constant @ X0)
% 0.47/0.81 | (increases @ X0)
% 0.47/0.81 | (decreases @ X0))),
% 0.47/0.81 inference('cnf', [status(esa)], [mp_abc_sum_increase_32])).
% 0.47/0.81 thf(zip_derived_cl214, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 ( (decreases @ X0)
% 0.47/0.81 | (increases @ X0)
% 0.47/0.81 | (constant @ X0)
% 0.47/0.81 | ~ (constant @ (sum @ X0 @ X1)))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl5])).
% 0.47/0.81 thf(zip_derived_cl229, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X1)
% 0.47/0.81 | ((sk1) != (X1))
% 0.47/0.81 | ((sk2) != (X0))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | ~ (constant @ (number_of_organizations @ X1 @ X0)))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl225, zip_derived_cl214])).
% 0.47/0.81 thf(zip_derived_cl280, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 (~ (constant @ (number_of_organizations @ sk1 @ X0))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | ((sk2) != (X0))
% 0.47/0.81 | ~ (environment @ sk1))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl229])).
% 0.47/0.81 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.47/0.81 thf(zip_derived_cl281, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 (~ (constant @ (number_of_organizations @ sk1 @ X0))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | ((sk2) != (X0)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl280, zip_derived_cl20])).
% 0.47/0.81 thf(zip_derived_cl282, plain,
% 0.47/0.81 (( (decreases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (increases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | ~ (constant @ (number_of_organizations @ sk1 @ sk2)))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl281])).
% 0.47/0.81 thf(zip_derived_cl22, plain,
% 0.47/0.81 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.47/0.81 thf(zip_derived_cl283, plain,
% 0.47/0.81 (( (decreases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (increases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl282, zip_derived_cl22])).
% 0.47/0.81 thf(zip_derived_cl197, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | (subpopulation @ first_movers @ X0 @ X1)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl196, zip_derived_cl3])).
% 0.47/0.81 thf(zip_derived_cl201, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | (greater @ zero @ (growth_rate @ X2 @ X1))
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ X2 @ X1))
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ X2 @ X1) @ zero)
% 0.47/0.81 | ~ (subpopulation @ X2 @ X0 @ X1)
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl196, zip_derived_cl15])).
% 0.47/0.81 thf(zip_derived_cl207, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (environment @ X0)
% 0.47/0.81 | ~ (environment @ X0)
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ first_movers @ X1))
% 0.47/0.81 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 0.47/0.81 | ((first_movers) != (first_movers))
% 0.47/0.81 | ((efficient_producers) != (efficient_producers))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('dp-resolution', [status(thm)],
% 0.47/0.81 [zip_derived_cl197, zip_derived_cl201])).
% 0.47/0.81 thf(zip_derived_cl269, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 ( (greater @ zero @ (growth_rate @ first_movers @ X1))
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ first_movers @ X1))
% 0.47/0.81 | ~ (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl207])).
% 0.47/0.81 thf(zip_derived_cl215, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0)))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl190])).
% 0.47/0.81 thf(zip_derived_cl270, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (~ (environment @ X0)
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ first_movers @ X1))
% 0.47/0.81 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 0.47/0.81 inference('clc', [status(thm)], [zip_derived_cl269, zip_derived_cl215])).
% 0.47/0.81 thf(zip_derived_cl271, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 ( (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | ((sk2) != (X0))
% 0.47/0.81 | ~ (environment @ sk1))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl270])).
% 0.47/0.81 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.47/0.81 thf(zip_derived_cl272, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 ( (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | ((sk2) != (X0)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl271, zip_derived_cl20])).
% 0.47/0.81 thf(prove_l7_52, conjecture,
% 0.47/0.81 (~( ( ~( greater @ zero @ ( growth_rate @ first_movers @ sk2 ) ) ) |
% 0.47/0.81 ( ~( greater @ ( growth_rate @ efficient_producers @ sk2 ) @ zero ) ) ))).
% 0.47/0.81 thf(zf_stmt_5, negated_conjecture,
% 0.47/0.81 (( ~( greater @ zero @ ( growth_rate @ first_movers @ sk2 ) ) ) |
% 0.47/0.81 ( ~( greater @ ( growth_rate @ efficient_producers @ sk2 ) @ zero ) )),
% 0.47/0.81 inference('cnf.neg', [status(esa)], [prove_l7_52])).
% 0.47/0.81 thf(zip_derived_cl25, plain,
% 0.47/0.81 ((~ (greater @ zero @ (growth_rate @ first_movers @ sk2))
% 0.47/0.81 | ~ (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.47/0.81 thf(zip_derived_cl273, plain,
% 0.47/0.81 ((((sk2) != (sk2))
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | ~ (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl272, zip_derived_cl25])).
% 0.47/0.81 thf(zip_derived_cl276, plain,
% 0.47/0.81 ((~ (greater @ (growth_rate @ efficient_producers @ sk2) @ zero)
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl273])).
% 0.47/0.81 thf(zip_derived_cl284, plain,
% 0.47/0.81 (( (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (increases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | ~ (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl283, zip_derived_cl276])).
% 0.47/0.81 thf(zip_derived_cl306, plain,
% 0.47/0.81 ((((sk2) != (sk2))
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ efficient_producers @ sk2))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (increases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl298, zip_derived_cl284])).
% 0.47/0.81 thf(zip_derived_cl308, plain,
% 0.47/0.81 (( (increases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl306])).
% 0.47/0.81 thf(zip_derived_cl323, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 ( (increases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | ~ (constant @ X0)
% 0.47/0.81 | ((X0) != (number_of_organizations @ sk1 @ sk2)))),
% 0.47/0.81 inference('clc', [status(thm)], [zip_derived_cl322, zip_derived_cl308])).
% 0.47/0.81 thf(zip_derived_cl324, plain,
% 0.47/0.81 ((~ (constant @ (number_of_organizations @ sk1 @ sk2))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (increases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl323])).
% 0.47/0.81 thf(zip_derived_cl22, plain,
% 0.47/0.81 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.47/0.81 thf(zip_derived_cl325, plain,
% 0.47/0.81 (( (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (increases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl324, zip_derived_cl22])).
% 0.47/0.81 thf(zip_derived_cl338, plain,
% 0.47/0.81 (( (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.81 inference('clc', [status(thm)], [zip_derived_cl336, zip_derived_cl325])).
% 0.47/0.81 thf(zip_derived_cl276, plain,
% 0.47/0.81 ((~ (greater @ (growth_rate @ efficient_producers @ sk2) @ zero)
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl273])).
% 0.47/0.81 thf(zip_derived_cl339, plain,
% 0.47/0.81 (( (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | ~ (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl338, zip_derived_cl276])).
% 0.47/0.81 thf(zip_derived_cl340, plain,
% 0.47/0.81 ((((sk2) != (sk2))
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ efficient_producers @ sk2))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl298, zip_derived_cl339])).
% 0.47/0.81 thf(zip_derived_cl342, plain,
% 0.47/0.81 (( (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl340])).
% 0.47/0.81 thf(zip_derived_cl350, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 ( (decreases @ (cardinality_at_time @ efficient_producers @ sk2))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | ~ (constant @ X0)
% 0.47/0.81 | ((X0) != (number_of_organizations @ sk1 @ sk2)))),
% 0.47/0.81 inference('clc', [status(thm)], [zip_derived_cl346, zip_derived_cl342])).
% 0.47/0.81 thf(zip_derived_cl351, plain,
% 0.47/0.81 ((~ (constant @ (number_of_organizations @ sk1 @ sk2))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl350])).
% 0.47/0.81 thf(zip_derived_cl22, plain,
% 0.47/0.81 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.47/0.81 thf(zip_derived_cl352, plain,
% 0.47/0.81 (( (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl351, zip_derived_cl22])).
% 0.47/0.81 thf(zip_derived_cl313, plain,
% 0.47/0.81 ((~ (greater @ (growth_rate @ first_movers @ sk2) @ zero)
% 0.47/0.81 | ~ (decreases @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl310])).
% 0.47/0.81 thf(zip_derived_cl353, plain,
% 0.47/0.81 (( (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | ~ (greater @ (growth_rate @ first_movers @ sk2) @ zero))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl352, zip_derived_cl313])).
% 0.47/0.81 thf(zip_derived_cl354, plain,
% 0.47/0.81 ((((sk2) != (sk2))
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (constant @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl265, zip_derived_cl353])).
% 0.47/0.81 thf(zip_derived_cl356, plain,
% 0.47/0.81 (( (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl354])).
% 0.47/0.81 thf(zip_derived_cl325, plain,
% 0.47/0.81 (( (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (increases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl324, zip_derived_cl22])).
% 0.47/0.81 thf(zip_derived_cl358, plain,
% 0.47/0.81 ( (constant @ (cardinality_at_time @ first_movers @ sk2))),
% 0.47/0.81 inference('clc', [status(thm)], [zip_derived_cl356, zip_derived_cl325])).
% 0.47/0.81 thf(zip_derived_cl362, plain,
% 0.47/0.81 (~ (constant @ (cardinality_at_time @ efficient_producers @ sk2))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl294, zip_derived_cl358])).
% 0.47/0.81 thf(zip_derived_cl298, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 ( (greater @ (growth_rate @ efficient_producers @ X0) @ zero)
% 0.47/0.81 | ~ (increases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | ((sk2) != (X0)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl297, zip_derived_cl20])).
% 0.47/0.81 thf(zip_derived_cl257, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 (((growth_rate @ first_movers @ X0) = (zero))
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | ((sk2) != (X0)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl256, zip_derived_cl20])).
% 0.47/0.81 thf(zip_derived_cl25, plain,
% 0.47/0.81 ((~ (greater @ zero @ (growth_rate @ first_movers @ sk2))
% 0.47/0.81 | ~ (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.47/0.81 thf(zip_derived_cl258, plain,
% 0.47/0.81 ((((sk2) != (sk2))
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | ~ (greater @ zero @ zero)
% 0.47/0.81 | ~ (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl257, zip_derived_cl25])).
% 0.47/0.81 thf(zip_derived_cl259, plain,
% 0.47/0.81 ((~ (greater @ (growth_rate @ efficient_producers @ sk2) @ zero)
% 0.47/0.81 | ~ (greater @ zero @ zero)
% 0.47/0.81 | ~ (constant @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl258])).
% 0.47/0.81 thf(zip_derived_cl358, plain,
% 0.47/0.81 ( (constant @ (cardinality_at_time @ first_movers @ sk2))),
% 0.47/0.81 inference('clc', [status(thm)], [zip_derived_cl356, zip_derived_cl325])).
% 0.47/0.81 thf(zip_derived_cl359, plain,
% 0.47/0.81 ((~ (greater @ (growth_rate @ efficient_producers @ sk2) @ zero)
% 0.47/0.81 | ~ (greater @ zero @ zero))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl259, zip_derived_cl358])).
% 0.47/0.81 thf(zip_derived_cl225, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 (((number_of_organizations @ X0 @ X1)
% 0.47/0.81 = (sum @ (cardinality_at_time @ first_movers @ X1) @
% 0.47/0.81 (cardinality_at_time @ efficient_producers @ X1)))
% 0.47/0.81 | ((sk2) != (X1))
% 0.47/0.81 | ((sk1) != (X0))
% 0.47/0.81 | ~ (environment @ X0))),
% 0.47/0.81 inference('simplify', [status(thm)], [zip_derived_cl204])).
% 0.47/0.81 thf(mp_abc_sum_increase_36, axiom,
% 0.47/0.81 (( ( A ) != ( sum @ B @ C ) ) | ( ~( constant @ A ) ) | ( constant @ C ) |
% 0.47/0.81 ( increases @ B ) | ( decreases @ B ))).
% 0.47/0.81 thf(zip_derived_cl9, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (((X2) != (sum @ X0 @ X1))
% 0.47/0.81 | ~ (constant @ X2)
% 0.47/0.81 | (constant @ X1)
% 0.47/0.81 | (increases @ X0)
% 0.47/0.81 | (decreases @ X0))),
% 0.47/0.81 inference('cnf', [status(esa)], [mp_abc_sum_increase_36])).
% 0.47/0.81 thf(zip_derived_cl237, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.81 (~ (environment @ X1)
% 0.47/0.81 | ((sk1) != (X1))
% 0.47/0.81 | ((sk2) != (X0))
% 0.47/0.81 | ((X2) != (number_of_organizations @ X1 @ X0))
% 0.47/0.81 | ~ (constant @ X2)
% 0.47/0.81 | (constant @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ first_movers @ X0)))),
% 0.47/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl225, zip_derived_cl9])).
% 0.47/0.81 thf(zip_derived_cl344, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 ( (decreases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (constant @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | ~ (constant @ X1)
% 0.47/0.81 | ((X1) != (number_of_organizations @ sk1 @ X0))
% 0.47/0.81 | ((sk2) != (X0))
% 0.47/0.81 | ~ (environment @ sk1))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl237])).
% 0.47/0.81 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 0.47/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.47/0.81 thf(zip_derived_cl345, plain,
% 0.47/0.81 (![X0 : $i, X1 : $i]:
% 0.47/0.81 ( (decreases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.81 | (constant @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.81 | ~ (constant @ X1)
% 0.47/0.81 | ((X1) != (number_of_organizations @ sk1 @ X0))
% 0.47/0.81 | ((sk2) != (X0)))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl344, zip_derived_cl20])).
% 0.47/0.81 thf(zip_derived_cl371, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 (((X0) != (number_of_organizations @ sk1 @ sk2))
% 0.47/0.81 | ~ (constant @ X0)
% 0.47/0.81 | (constant @ (cardinality_at_time @ efficient_producers @ sk2))
% 0.47/0.81 | (increases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.81 | (decreases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.81 inference('eq_res', [status(thm)], [zip_derived_cl345])).
% 0.47/0.81 thf(zip_derived_cl362, plain,
% 0.47/0.81 (~ (constant @ (cardinality_at_time @ efficient_producers @ sk2))),
% 0.47/0.81 inference('demod', [status(thm)], [zip_derived_cl294, zip_derived_cl358])).
% 0.47/0.81 thf(zip_derived_cl372, plain,
% 0.47/0.81 (![X0 : $i]:
% 0.47/0.81 (((X0) != (number_of_organizations @ sk1 @ sk2))
% 0.47/0.82 | ~ (constant @ X0)
% 0.47/0.82 | (increases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.82 | (decreases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.82 inference('demod', [status(thm)], [zip_derived_cl371, zip_derived_cl362])).
% 0.47/0.82 thf(zip_derived_cl379, plain,
% 0.47/0.82 (( (decreases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.82 | (increases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.82 | ~ (constant @ (number_of_organizations @ sk1 @ sk2)))),
% 0.47/0.82 inference('eq_res', [status(thm)], [zip_derived_cl372])).
% 0.47/0.82 thf(zip_derived_cl22, plain,
% 0.47/0.82 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 0.47/0.82 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.47/0.82 thf(zip_derived_cl380, plain,
% 0.47/0.82 (( (decreases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.82 | (increases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.82 inference('demod', [status(thm)], [zip_derived_cl379, zip_derived_cl22])).
% 0.47/0.82 thf(zip_derived_cl257, plain,
% 0.47/0.82 (![X0 : $i]:
% 0.47/0.82 (((growth_rate @ first_movers @ X0) = (zero))
% 0.47/0.82 | ~ (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.82 | ((sk2) != (X0)))),
% 0.47/0.82 inference('demod', [status(thm)], [zip_derived_cl256, zip_derived_cl20])).
% 0.47/0.82 thf(zip_derived_cl272, plain,
% 0.47/0.82 (![X0 : $i]:
% 0.47/0.82 ( (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.47/0.82 | ~ (decreases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.82 | ((sk2) != (X0)))),
% 0.47/0.82 inference('demod', [status(thm)], [zip_derived_cl271, zip_derived_cl20])).
% 0.47/0.82 thf(zip_derived_cl274, plain,
% 0.47/0.82 (![X0 : $i]:
% 0.47/0.82 (((sk2) != (X0))
% 0.47/0.82 | ~ (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.82 | (greater @ zero @ zero)
% 0.47/0.82 | ~ (decreases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.82 | ((sk2) != (X0)))),
% 0.47/0.82 inference('s_sup+', [status(thm)], [zip_derived_cl257, zip_derived_cl272])).
% 0.47/0.82 thf(zip_derived_cl275, plain,
% 0.47/0.82 (![X0 : $i]:
% 0.47/0.82 (~ (decreases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.82 | (greater @ zero @ zero)
% 0.47/0.82 | ~ (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.82 | ((sk2) != (X0)))),
% 0.47/0.82 inference('simplify', [status(thm)], [zip_derived_cl274])).
% 0.47/0.82 thf(zip_derived_cl277, plain,
% 0.47/0.82 ((~ (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.82 | (greater @ zero @ zero)
% 0.47/0.82 | ~ (decreases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.82 inference('eq_res', [status(thm)], [zip_derived_cl275])).
% 0.47/0.82 thf(zip_derived_cl358, plain,
% 0.47/0.82 ( (constant @ (cardinality_at_time @ first_movers @ sk2))),
% 0.47/0.82 inference('clc', [status(thm)], [zip_derived_cl356, zip_derived_cl325])).
% 0.47/0.82 thf(zip_derived_cl361, plain,
% 0.47/0.82 (( (greater @ zero @ zero)
% 0.47/0.82 | ~ (decreases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.82 inference('demod', [status(thm)], [zip_derived_cl277, zip_derived_cl358])).
% 0.47/0.82 thf(zip_derived_cl384, plain,
% 0.47/0.82 (( (increases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.82 | (greater @ zero @ zero))),
% 0.47/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl380, zip_derived_cl361])).
% 0.47/0.82 thf(zip_derived_cl257, plain,
% 0.47/0.82 (![X0 : $i]:
% 0.47/0.82 (((growth_rate @ first_movers @ X0) = (zero))
% 0.47/0.82 | ~ (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.82 | ((sk2) != (X0)))),
% 0.47/0.82 inference('demod', [status(thm)], [zip_derived_cl256, zip_derived_cl20])).
% 0.47/0.82 thf(zip_derived_cl265, plain,
% 0.47/0.82 (![X0 : $i]:
% 0.47/0.82 ( (greater @ (growth_rate @ first_movers @ X0) @ zero)
% 0.47/0.82 | ~ (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.82 | ((sk2) != (X0)))),
% 0.47/0.82 inference('demod', [status(thm)], [zip_derived_cl264, zip_derived_cl20])).
% 0.47/0.82 thf(zip_derived_cl266, plain,
% 0.47/0.82 (![X0 : $i]:
% 0.47/0.82 (((sk2) != (X0))
% 0.47/0.82 | ~ (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.82 | (greater @ zero @ zero)
% 0.47/0.82 | ~ (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.82 | ((sk2) != (X0)))),
% 0.47/0.82 inference('s_sup+', [status(thm)], [zip_derived_cl257, zip_derived_cl265])).
% 0.47/0.82 thf(zip_derived_cl267, plain,
% 0.47/0.82 (![X0 : $i]:
% 0.47/0.82 (~ (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.82 | (greater @ zero @ zero)
% 0.47/0.82 | ~ (constant @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.82 | ((sk2) != (X0)))),
% 0.47/0.82 inference('simplify', [status(thm)], [zip_derived_cl266])).
% 0.47/0.82 thf(zip_derived_cl268, plain,
% 0.47/0.82 ((~ (constant @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.82 | (greater @ zero @ zero)
% 0.47/0.82 | ~ (increases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.82 inference('eq_res', [status(thm)], [zip_derived_cl267])).
% 0.47/0.82 thf(zip_derived_cl358, plain,
% 0.47/0.82 ( (constant @ (cardinality_at_time @ first_movers @ sk2))),
% 0.47/0.82 inference('clc', [status(thm)], [zip_derived_cl356, zip_derived_cl325])).
% 0.47/0.82 thf(zip_derived_cl360, plain,
% 0.47/0.82 (( (greater @ zero @ zero)
% 0.47/0.82 | ~ (increases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.82 inference('demod', [status(thm)], [zip_derived_cl268, zip_derived_cl358])).
% 0.47/0.82 thf(zip_derived_cl390, plain, ( (greater @ zero @ zero)),
% 0.47/0.82 inference('clc', [status(thm)], [zip_derived_cl384, zip_derived_cl360])).
% 0.47/0.82 thf(zip_derived_cl391, plain,
% 0.47/0.82 (~ (greater @ (growth_rate @ efficient_producers @ sk2) @ zero)),
% 0.47/0.82 inference('demod', [status(thm)], [zip_derived_cl359, zip_derived_cl390])).
% 0.47/0.82 thf(zip_derived_cl392, plain,
% 0.47/0.82 ((((sk2) != (sk2))
% 0.47/0.82 | ~ (increases @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 0.47/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl298, zip_derived_cl391])).
% 0.47/0.82 thf(zip_derived_cl394, plain,
% 0.47/0.82 (~ (increases @ (cardinality_at_time @ efficient_producers @ sk2))),
% 0.47/0.82 inference('simplify', [status(thm)], [zip_derived_cl392])).
% 0.47/0.82 thf(zip_derived_cl414, plain,
% 0.47/0.82 (![X0 : $i]:
% 0.47/0.82 (((X0) != (number_of_organizations @ sk1 @ sk2))
% 0.47/0.82 | ~ (constant @ X0)
% 0.47/0.82 | (decreases @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 0.47/0.82 inference('demod', [status(thm)],
% 0.47/0.82 [zip_derived_cl413, zip_derived_cl362, zip_derived_cl394])).
% 0.47/0.82 thf(zip_derived_cl426, plain,
% 0.47/0.82 (( (decreases @ (cardinality_at_time @ efficient_producers @ sk2))
% 0.47/0.82 | ~ (constant @ (number_of_organizations @ sk1 @ sk2)))),
% 0.47/0.82 inference('eq_res', [status(thm)], [zip_derived_cl414])).
% 0.47/0.82 thf(zip_derived_cl22, plain,
% 0.47/0.82 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 0.47/0.82 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.47/0.82 thf(zip_derived_cl427, plain,
% 0.47/0.82 ( (decreases @ (cardinality_at_time @ efficient_producers @ sk2))),
% 0.47/0.82 inference('demod', [status(thm)], [zip_derived_cl426, zip_derived_cl22])).
% 0.47/0.82 thf(zip_derived_cl430, plain,
% 0.47/0.82 (~ (greater @ (growth_rate @ first_movers @ sk2) @ zero)),
% 0.47/0.82 inference('demod', [status(thm)], [zip_derived_cl313, zip_derived_cl427])).
% 0.47/0.82 thf(zip_derived_cl431, plain,
% 0.47/0.82 ((((sk2) != (sk2))
% 0.47/0.82 | ~ (increases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl265, zip_derived_cl430])).
% 0.47/0.82 thf(zip_derived_cl225, plain,
% 0.47/0.82 (![X0 : $i, X1 : $i]:
% 0.47/0.82 (((number_of_organizations @ X0 @ X1)
% 0.47/0.82 = (sum @ (cardinality_at_time @ first_movers @ X1) @
% 0.47/0.82 (cardinality_at_time @ efficient_producers @ X1)))
% 0.47/0.82 | ((sk2) != (X1))
% 0.47/0.82 | ((sk1) != (X0))
% 0.47/0.82 | ~ (environment @ X0))),
% 0.47/0.82 inference('simplify', [status(thm)], [zip_derived_cl204])).
% 0.47/0.82 thf(mp_abc_sum_increase_37, axiom,
% 0.47/0.82 (( ( A ) != ( sum @ B @ C ) ) | ( ~( constant @ A ) ) | ( constant @ C ) |
% 0.47/0.82 ( increases @ B ) | ( increases @ C ))).
% 0.47/0.82 thf(zip_derived_cl10, plain,
% 0.47/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.82 (((X2) != (sum @ X0 @ X1))
% 0.47/0.82 | ~ (constant @ X2)
% 0.47/0.82 | (constant @ X1)
% 0.47/0.82 | (increases @ X0)
% 0.47/0.82 | (increases @ X1))),
% 0.47/0.82 inference('cnf', [status(esa)], [mp_abc_sum_increase_37])).
% 0.47/0.82 thf(zip_derived_cl241, plain,
% 0.47/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.82 (~ (environment @ X1)
% 0.47/0.82 | ((sk1) != (X1))
% 0.47/0.82 | ((sk2) != (X0))
% 0.47/0.82 | ((X2) != (number_of_organizations @ X1 @ X0))
% 0.47/0.82 | ~ (constant @ X2)
% 0.47/0.82 | (constant @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.82 | (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.82 | (increases @ (cardinality_at_time @ efficient_producers @ X0)))),
% 0.47/0.82 inference('s_sup-', [status(thm)], [zip_derived_cl225, zip_derived_cl10])).
% 0.47/0.82 thf(zip_derived_cl363, plain,
% 0.47/0.82 (![X0 : $i, X1 : $i]:
% 0.47/0.82 ( (increases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.82 | (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.82 | (constant @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.82 | ~ (constant @ X1)
% 0.47/0.82 | ((X1) != (number_of_organizations @ sk1 @ X0))
% 0.47/0.82 | ((sk2) != (X0))
% 0.47/0.82 | ~ (environment @ sk1))),
% 0.47/0.82 inference('eq_res', [status(thm)], [zip_derived_cl241])).
% 0.47/0.82 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 0.47/0.82 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.47/0.82 thf(zip_derived_cl364, plain,
% 0.47/0.82 (![X0 : $i, X1 : $i]:
% 0.47/0.82 ( (increases @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.82 | (increases @ (cardinality_at_time @ first_movers @ X0))
% 0.47/0.82 | (constant @ (cardinality_at_time @ efficient_producers @ X0))
% 0.47/0.82 | ~ (constant @ X1)
% 0.47/0.82 | ((X1) != (number_of_organizations @ sk1 @ X0))
% 0.47/0.82 | ((sk2) != (X0)))),
% 0.47/0.82 inference('demod', [status(thm)], [zip_derived_cl363, zip_derived_cl20])).
% 0.47/0.82 thf(zip_derived_cl375, plain,
% 0.47/0.82 (![X0 : $i]:
% 0.47/0.82 (((X0) != (number_of_organizations @ sk1 @ sk2))
% 0.47/0.82 | ~ (constant @ X0)
% 0.47/0.82 | (constant @ (cardinality_at_time @ efficient_producers @ sk2))
% 0.47/0.82 | (increases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.82 | (increases @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 0.47/0.82 inference('eq_res', [status(thm)], [zip_derived_cl364])).
% 0.47/0.82 thf(zip_derived_cl362, plain,
% 0.47/0.82 (~ (constant @ (cardinality_at_time @ efficient_producers @ sk2))),
% 0.47/0.82 inference('demod', [status(thm)], [zip_derived_cl294, zip_derived_cl358])).
% 0.47/0.82 thf(zip_derived_cl376, plain,
% 0.47/0.82 (![X0 : $i]:
% 0.47/0.82 (((X0) != (number_of_organizations @ sk1 @ sk2))
% 0.47/0.82 | ~ (constant @ X0)
% 0.47/0.82 | (increases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.82 | (increases @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 0.47/0.82 inference('demod', [status(thm)], [zip_derived_cl375, zip_derived_cl362])).
% 0.47/0.82 thf(zip_derived_cl394, plain,
% 0.47/0.82 (~ (increases @ (cardinality_at_time @ efficient_producers @ sk2))),
% 0.47/0.82 inference('simplify', [status(thm)], [zip_derived_cl392])).
% 0.47/0.82 thf(zip_derived_cl400, plain,
% 0.47/0.82 (![X0 : $i]:
% 0.47/0.82 (((X0) != (number_of_organizations @ sk1 @ sk2))
% 0.47/0.82 | ~ (constant @ X0)
% 0.47/0.82 | (increases @ (cardinality_at_time @ first_movers @ sk2)))),
% 0.47/0.82 inference('demod', [status(thm)], [zip_derived_cl376, zip_derived_cl394])).
% 0.47/0.82 thf(zip_derived_cl401, plain,
% 0.47/0.82 (( (increases @ (cardinality_at_time @ first_movers @ sk2))
% 0.47/0.82 | ~ (constant @ (number_of_organizations @ sk1 @ sk2)))),
% 0.47/0.82 inference('eq_res', [status(thm)], [zip_derived_cl400])).
% 0.47/0.82 thf(zip_derived_cl22, plain,
% 0.47/0.82 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 0.47/0.82 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.47/0.82 thf(zip_derived_cl402, plain,
% 0.47/0.82 ( (increases @ (cardinality_at_time @ first_movers @ sk2))),
% 0.47/0.82 inference('demod', [status(thm)], [zip_derived_cl401, zip_derived_cl22])).
% 0.47/0.82 thf(zip_derived_cl433, plain, (((sk2) != (sk2))),
% 0.47/0.82 inference('demod', [status(thm)], [zip_derived_cl431, zip_derived_cl402])).
% 0.47/0.82 thf(zip_derived_cl434, plain, ($false),
% 0.47/0.82 inference('simplify', [status(thm)], [zip_derived_cl433])).
% 0.47/0.82
% 0.47/0.82 % SZS output end Refutation
% 0.47/0.82
% 0.47/0.82
% 0.47/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.47/0.82 % Terminating...
% 0.47/0.85 % Runner terminated.
% 0.47/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------