TSTP Solution File: MGT025-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT025-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gAUmW79Wer true
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:19:56 EDT 2023
% Result : Unsatisfiable 1.31s 0.80s
% Output : Refutation 1.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT025-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gAUmW79Wer true
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 06:39:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.91/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.91/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.91/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.91/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.91/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.91/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.91/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.31/0.80 % Solved by fo/fo1_av.sh.
% 1.31/0.80 % done 94 iterations in 0.038s
% 1.31/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.31/0.80 % SZS output start Refutation
% 1.31/0.80 thf(zero_type, type, zero: $i).
% 1.31/0.80 thf(sk2_type, type, sk2: $i).
% 1.31/0.80 thf(growth_rate_type, type, growth_rate: $i > $i > $i).
% 1.31/0.80 thf(first_movers_type, type, first_movers: $i).
% 1.31/0.80 thf(environment_type, type, environment: $i > $o).
% 1.31/0.80 thf(subpopulation_type, type, subpopulation: $i > $i > $i > $o).
% 1.31/0.80 thf(cardinality_at_time_type, type, cardinality_at_time: $i > $i > $i).
% 1.31/0.80 thf(subpopulations_type, type, subpopulations: $i > $i > $i > $i > $o).
% 1.31/0.80 thf(constant_type, type, constant: $i > $o).
% 1.31/0.80 thf(in_environment_type, type, in_environment: $i > $i > $o).
% 1.31/0.80 thf(sk1_type, type, sk1: $i).
% 1.31/0.80 thf(increases_type, type, increases: $i > $o).
% 1.31/0.80 thf(number_of_organizations_type, type, number_of_organizations: $i > $i > $i).
% 1.31/0.80 thf(greater_type, type, greater: $i > $i > $o).
% 1.31/0.80 thf(decreases_type, type, decreases: $i > $o).
% 1.31/0.80 thf(efficient_producers_type, type, efficient_producers: $i).
% 1.31/0.80 thf(sum_type, type, sum: $i > $i > $i).
% 1.31/0.80 thf(prove_l7_48, conjecture,
% 1.31/0.80 (~( subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2 ))).
% 1.31/0.80 thf(zf_stmt_0, negated_conjecture,
% 1.31/0.80 (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2),
% 1.31/0.80 inference('cnf.neg', [status(esa)], [prove_l7_48])).
% 1.31/0.80 thf(zip_derived_cl21, plain,
% 1.31/0.80 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.31/0.80 thf(mp_non_zero_producers_43, axiom,
% 1.31/0.80 (( ~( environment @ A ) ) |
% 1.31/0.80 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 1.31/0.80 ( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero ))).
% 1.31/0.80 thf(zip_derived_cl16, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i]:
% 1.31/0.80 (~ (environment @ X0)
% 1.31/0.80 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 1.31/0.80 | (greater @ (cardinality_at_time @ first_movers @ X1) @ zero))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_non_zero_producers_43])).
% 1.31/0.80 thf(zip_derived_cl32, plain,
% 1.31/0.80 ((~ (environment @ sk1)
% 1.31/0.80 | (greater @ (cardinality_at_time @ first_movers @ sk2) @ zero))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl16])).
% 1.31/0.80 thf(prove_l7_47, conjecture, (~( environment @ sk1 ))).
% 1.31/0.80 thf(zf_stmt_1, negated_conjecture, (environment @ sk1),
% 1.31/0.80 inference('cnf.neg', [status(esa)], [prove_l7_47])).
% 1.31/0.80 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/0.80 thf(zip_derived_cl33, plain,
% 1.31/0.80 ( (greater @ (cardinality_at_time @ first_movers @ sk2) @ zero)),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl20])).
% 1.31/0.80 thf(mp_growth_rate_40, axiom,
% 1.31/0.80 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 1.31/0.80 ( ~( subpopulation @ C @ A @ B ) ) |
% 1.31/0.80 ( ~( greater @ ( cardinality_at_time @ C @ B ) @ zero ) ) |
% 1.31/0.80 ( ~( constant @ ( cardinality_at_time @ C @ B ) ) ) |
% 1.31/0.80 ( ( growth_rate @ C @ B ) = ( zero ) ))).
% 1.31/0.80 thf(zip_derived_cl13, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.80 (~ (environment @ X0)
% 1.31/0.80 | ~ (in_environment @ X0 @ X1)
% 1.31/0.80 | ~ (subpopulation @ X2 @ X0 @ X1)
% 1.31/0.80 | ~ (greater @ (cardinality_at_time @ X2 @ X1) @ zero)
% 1.31/0.80 | ~ (constant @ (cardinality_at_time @ X2 @ X1))
% 1.31/0.80 | ((growth_rate @ X2 @ X1) = (zero)))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_growth_rate_40])).
% 1.31/0.80 thf(zip_derived_cl141, plain,
% 1.31/0.80 (![X0 : $i]:
% 1.31/0.80 (~ (environment @ X0)
% 1.31/0.80 | ~ (in_environment @ X0 @ sk2)
% 1.31/0.80 | ~ (subpopulation @ first_movers @ X0 @ sk2)
% 1.31/0.80 | ~ (constant @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | ((growth_rate @ first_movers @ sk2) = (zero)))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl13])).
% 1.31/0.80 thf(mp_subpopulations_30, axiom,
% 1.31/0.80 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 1.31/0.80 ( subpopulation @ first_movers @ A @ B ))).
% 1.31/0.80 thf(zip_derived_cl3, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i]:
% 1.31/0.80 (~ (environment @ X0)
% 1.31/0.80 | ~ (in_environment @ X0 @ X1)
% 1.31/0.80 | (subpopulation @ first_movers @ X0 @ X1))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_subpopulations_30])).
% 1.31/0.80 thf(zip_derived_cl145, plain,
% 1.31/0.80 (![X0 : $i]:
% 1.31/0.80 (((growth_rate @ first_movers @ sk2) = (zero))
% 1.31/0.80 | ~ (constant @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | ~ (in_environment @ X0 @ sk2)
% 1.31/0.80 | ~ (environment @ X0))),
% 1.31/0.80 inference('clc', [status(thm)], [zip_derived_cl141, zip_derived_cl3])).
% 1.31/0.80 thf(zip_derived_cl148, plain,
% 1.31/0.80 ((((growth_rate @ first_movers @ sk2) = (zero)))
% 1.31/0.80 <= ((((growth_rate @ first_movers @ sk2) = (zero))))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl145])).
% 1.31/0.80 thf(zip_derived_cl21, plain,
% 1.31/0.80 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.31/0.80 thf(mp_time_point_occur_45, axiom,
% 1.31/0.80 (( ~( environment @ A ) ) |
% 1.31/0.80 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 1.31/0.80 ( in_environment @ A @ B ))).
% 1.31/0.80 thf(zip_derived_cl18, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i]:
% 1.31/0.80 (~ (environment @ X0)
% 1.31/0.80 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 1.31/0.80 | (in_environment @ X0 @ X1))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_time_point_occur_45])).
% 1.31/0.80 thf(zip_derived_cl36, plain,
% 1.31/0.80 ((~ (environment @ sk1) | (in_environment @ sk1 @ sk2))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl18])).
% 1.31/0.80 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/0.80 thf(zip_derived_cl37, plain, ( (in_environment @ sk1 @ sk2)),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl20])).
% 1.31/0.80 thf(zip_derived_cl3, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i]:
% 1.31/0.80 (~ (environment @ X0)
% 1.31/0.80 | ~ (in_environment @ X0 @ X1)
% 1.31/0.80 | (subpopulation @ first_movers @ X0 @ X1))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_subpopulations_30])).
% 1.31/0.80 thf(zip_derived_cl38, plain,
% 1.31/0.80 ((~ (environment @ sk1) | (subpopulation @ first_movers @ sk1 @ sk2))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl3])).
% 1.31/0.80 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/0.80 thf(zip_derived_cl40, plain, ( (subpopulation @ first_movers @ sk1 @ sk2)),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl20])).
% 1.31/0.80 thf(mp_growth_rate_41, axiom,
% 1.31/0.80 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 1.31/0.80 ( ~( subpopulation @ C @ A @ B ) ) |
% 1.31/0.80 ( ~( greater @ ( cardinality_at_time @ C @ B ) @ zero ) ) |
% 1.31/0.80 ( ~( increases @ ( cardinality_at_time @ C @ B ) ) ) |
% 1.31/0.80 ( greater @ ( growth_rate @ C @ B ) @ zero ))).
% 1.31/0.80 thf(zip_derived_cl14, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.80 (~ (environment @ X0)
% 1.31/0.80 | ~ (in_environment @ X0 @ X1)
% 1.31/0.80 | ~ (subpopulation @ X2 @ X0 @ X1)
% 1.31/0.80 | ~ (greater @ (cardinality_at_time @ X2 @ X1) @ zero)
% 1.31/0.80 | ~ (increases @ (cardinality_at_time @ X2 @ X1))
% 1.31/0.80 | (greater @ (growth_rate @ X2 @ X1) @ zero))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_growth_rate_41])).
% 1.31/0.80 thf(zip_derived_cl169, plain,
% 1.31/0.80 ((~ (environment @ sk1)
% 1.31/0.80 | ~ (in_environment @ sk1 @ sk2)
% 1.31/0.80 | ~ (greater @ (cardinality_at_time @ first_movers @ sk2) @ zero)
% 1.31/0.80 | ~ (increases @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (greater @ (growth_rate @ first_movers @ sk2) @ zero))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl14])).
% 1.31/0.80 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/0.80 thf(zip_derived_cl37, plain, ( (in_environment @ sk1 @ sk2)),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl20])).
% 1.31/0.80 thf(zip_derived_cl33, plain,
% 1.31/0.80 ( (greater @ (cardinality_at_time @ first_movers @ sk2) @ zero)),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl20])).
% 1.31/0.80 thf(zip_derived_cl171, plain,
% 1.31/0.80 ((~ (increases @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (greater @ (growth_rate @ first_movers @ sk2) @ zero))),
% 1.31/0.80 inference('demod', [status(thm)],
% 1.31/0.80 [zip_derived_cl169, zip_derived_cl20, zip_derived_cl37,
% 1.31/0.80 zip_derived_cl33])).
% 1.31/0.80 thf(zip_derived_cl174, plain,
% 1.31/0.80 (( (greater @ (growth_rate @ first_movers @ sk2) @ zero))
% 1.31/0.80 <= (( (greater @ (growth_rate @ first_movers @ sk2) @ zero)))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl171])).
% 1.31/0.80 thf(zip_derived_cl178, plain,
% 1.31/0.80 (( (greater @ zero @ zero))
% 1.31/0.80 <= ((((growth_rate @ first_movers @ sk2) = (zero))) &
% 1.31/0.80 ( (greater @ (growth_rate @ first_movers @ sk2) @ zero)))),
% 1.31/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl174])).
% 1.31/0.80 thf(zip_derived_cl148, plain,
% 1.31/0.80 ((((growth_rate @ first_movers @ sk2) = (zero)))
% 1.31/0.80 <= ((((growth_rate @ first_movers @ sk2) = (zero))))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl145])).
% 1.31/0.80 thf(prove_l7_52, conjecture,
% 1.31/0.80 (~( ( ~( greater @ zero @ ( growth_rate @ first_movers @ sk2 ) ) ) |
% 1.31/0.80 ( ~( greater @ ( growth_rate @ efficient_producers @ sk2 ) @ zero ) ) ))).
% 1.31/0.80 thf(zf_stmt_2, negated_conjecture,
% 1.31/0.80 (( ~( greater @ zero @ ( growth_rate @ first_movers @ sk2 ) ) ) |
% 1.31/0.80 ( ~( greater @ ( growth_rate @ efficient_producers @ sk2 ) @ zero ) )),
% 1.31/0.80 inference('cnf.neg', [status(esa)], [prove_l7_52])).
% 1.31/0.80 thf(zip_derived_cl25, plain,
% 1.31/0.80 ((~ (greater @ zero @ (growth_rate @ first_movers @ sk2))
% 1.31/0.80 | ~ (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.31/0.80 thf(zip_derived_cl31, plain,
% 1.31/0.80 ((~ (greater @ zero @ (growth_rate @ first_movers @ sk2)))
% 1.31/0.80 <= (~ ( (greater @ zero @ (growth_rate @ first_movers @ sk2))))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl25])).
% 1.31/0.80 thf(zip_derived_cl157, plain,
% 1.31/0.80 ((~ (greater @ zero @ zero))
% 1.31/0.80 <= (~ ( (greater @ zero @ (growth_rate @ first_movers @ sk2))) &
% 1.31/0.80 (((growth_rate @ first_movers @ sk2) = (zero))))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl31])).
% 1.31/0.80 thf('0', plain,
% 1.31/0.80 (~ (((growth_rate @ first_movers @ sk2) = (zero))) |
% 1.31/0.80 ~ ( (greater @ (growth_rate @ first_movers @ sk2) @ zero)) |
% 1.31/0.80 ( (greater @ zero @ (growth_rate @ first_movers @ sk2)))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl178, zip_derived_cl157])).
% 1.31/0.80 thf(zip_derived_cl37, plain, ( (in_environment @ sk1 @ sk2)),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl20])).
% 1.31/0.80 thf(mp_subpopulations_31, axiom,
% 1.31/0.80 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 1.31/0.80 ( subpopulation @ efficient_producers @ A @ B ))).
% 1.31/0.80 thf(zip_derived_cl4, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i]:
% 1.31/0.80 (~ (environment @ X0)
% 1.31/0.80 | ~ (in_environment @ X0 @ X1)
% 1.31/0.80 | (subpopulation @ efficient_producers @ X0 @ X1))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_subpopulations_31])).
% 1.31/0.80 thf(zip_derived_cl39, plain,
% 1.31/0.80 ((~ (environment @ sk1)
% 1.31/0.80 | (subpopulation @ efficient_producers @ sk1 @ sk2))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl4])).
% 1.31/0.80 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/0.80 thf(zip_derived_cl41, plain,
% 1.31/0.80 ( (subpopulation @ efficient_producers @ sk1 @ sk2)),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl20])).
% 1.31/0.80 thf(mp_only_members_28, axiom,
% 1.31/0.80 (( ~( environment @ A ) ) | ( ~( subpopulation @ B @ A @ C ) ) |
% 1.31/0.80 ( ( B ) != ( efficient_producers ) ) |
% 1.31/0.80 ( ( number_of_organizations @ A @ C ) =
% 1.31/0.80 ( sum @
% 1.31/0.80 ( cardinality_at_time @ first_movers @ C ) @
% 1.31/0.80 ( cardinality_at_time @ efficient_producers @ C ) ) ))).
% 1.31/0.80 thf(zip_derived_cl1, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.80 (~ (environment @ X0)
% 1.31/0.80 | ~ (subpopulation @ X1 @ X0 @ X2)
% 1.31/0.80 | ((X1) != (efficient_producers))
% 1.31/0.80 | ((number_of_organizations @ X0 @ X2)
% 1.31/0.80 = (sum @ (cardinality_at_time @ first_movers @ X2) @
% 1.31/0.80 (cardinality_at_time @ efficient_producers @ X2))))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_only_members_28])).
% 1.31/0.80 thf(zip_derived_cl47, plain,
% 1.31/0.80 ((~ (environment @ sk1)
% 1.31/0.80 | ((efficient_producers) != (efficient_producers))
% 1.31/0.80 | ((number_of_organizations @ sk1 @ sk2)
% 1.31/0.80 = (sum @ (cardinality_at_time @ first_movers @ sk2) @
% 1.31/0.80 (cardinality_at_time @ efficient_producers @ sk2))))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl1])).
% 1.31/0.80 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/0.80 thf(zip_derived_cl49, plain,
% 1.31/0.80 ((((efficient_producers) != (efficient_producers))
% 1.31/0.80 | ((number_of_organizations @ sk1 @ sk2)
% 1.31/0.80 = (sum @ (cardinality_at_time @ first_movers @ sk2) @
% 1.31/0.80 (cardinality_at_time @ efficient_producers @ sk2))))),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl20])).
% 1.31/0.80 thf(zip_derived_cl50, plain,
% 1.31/0.80 (((number_of_organizations @ sk1 @ sk2)
% 1.31/0.80 = (sum @ (cardinality_at_time @ first_movers @ sk2) @
% 1.31/0.80 (cardinality_at_time @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('simplify', [status(thm)], [zip_derived_cl49])).
% 1.31/0.80 thf(mp_abc_sum_increase_36, axiom,
% 1.31/0.80 (( ( A ) != ( sum @ B @ C ) ) | ( ~( constant @ A ) ) | ( constant @ C ) |
% 1.31/0.80 ( increases @ B ) | ( decreases @ B ))).
% 1.31/0.80 thf(zip_derived_cl9, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.80 (((X2) != (sum @ X0 @ X1))
% 1.31/0.80 | ~ (constant @ X2)
% 1.31/0.80 | (constant @ X1)
% 1.31/0.80 | (increases @ X0)
% 1.31/0.80 | (decreases @ X0))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_abc_sum_increase_36])).
% 1.31/0.80 thf(zip_derived_cl93, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i]:
% 1.31/0.80 ( (decreases @ X0)
% 1.31/0.80 | (increases @ X0)
% 1.31/0.80 | (constant @ X1)
% 1.31/0.80 | ~ (constant @ (sum @ X0 @ X1)))),
% 1.31/0.80 inference('eq_res', [status(thm)], [zip_derived_cl9])).
% 1.31/0.80 thf(zip_derived_cl116, plain,
% 1.31/0.80 (( (decreases @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (increases @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (constant @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | ~ (constant @ (number_of_organizations @ sk1 @ sk2)))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl93])).
% 1.31/0.80 thf(prove_l7_49, conjecture,
% 1.31/0.80 (~( constant @ ( number_of_organizations @ sk1 @ sk2 ) ))).
% 1.31/0.80 thf(zf_stmt_3, negated_conjecture,
% 1.31/0.80 (constant @ ( number_of_organizations @ sk1 @ sk2 )),
% 1.31/0.80 inference('cnf.neg', [status(esa)], [prove_l7_49])).
% 1.31/0.80 thf(zip_derived_cl22, plain,
% 1.31/0.80 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.31/0.80 thf(zip_derived_cl117, plain,
% 1.31/0.80 (( (decreases @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (increases @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (constant @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl116, zip_derived_cl22])).
% 1.31/0.80 thf('1', plain,
% 1.31/0.80 (( (constant @ (cardinality_at_time @ efficient_producers @ sk2))) |
% 1.31/0.80 ( (decreases @ (cardinality_at_time @ first_movers @ sk2))) |
% 1.31/0.80 ( (increases @ (cardinality_at_time @ first_movers @ sk2)))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl117])).
% 1.31/0.80 thf(zip_derived_cl50, plain,
% 1.31/0.80 (((number_of_organizations @ sk1 @ sk2)
% 1.31/0.80 = (sum @ (cardinality_at_time @ first_movers @ sk2) @
% 1.31/0.80 (cardinality_at_time @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('simplify', [status(thm)], [zip_derived_cl49])).
% 1.31/0.80 thf(mp_abc_sum_increase_38, axiom,
% 1.31/0.80 (( ( A ) != ( sum @ B @ C ) ) | ( ~( constant @ A ) ) | ( constant @ C ) |
% 1.31/0.80 ( decreases @ C ) | ( decreases @ B ))).
% 1.31/0.80 thf(zip_derived_cl11, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.80 (((X2) != (sum @ X0 @ X1))
% 1.31/0.80 | ~ (constant @ X2)
% 1.31/0.80 | (constant @ X1)
% 1.31/0.80 | (decreases @ X1)
% 1.31/0.80 | (decreases @ X0))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_abc_sum_increase_38])).
% 1.31/0.80 thf(zip_derived_cl115, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i]:
% 1.31/0.80 ( (decreases @ X0)
% 1.31/0.80 | (decreases @ X1)
% 1.31/0.80 | (constant @ X1)
% 1.31/0.80 | ~ (constant @ (sum @ X0 @ X1)))),
% 1.31/0.80 inference('eq_res', [status(thm)], [zip_derived_cl11])).
% 1.31/0.80 thf(zip_derived_cl120, plain,
% 1.31/0.80 (( (decreases @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (decreases @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | (constant @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | ~ (constant @ (number_of_organizations @ sk1 @ sk2)))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl115])).
% 1.31/0.80 thf(zip_derived_cl22, plain,
% 1.31/0.80 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.31/0.80 thf(zip_derived_cl121, plain,
% 1.31/0.80 (( (decreases @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (decreases @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | (constant @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl120, zip_derived_cl22])).
% 1.31/0.80 thf('2', plain,
% 1.31/0.80 (( (constant @ (cardinality_at_time @ efficient_producers @ sk2))) |
% 1.31/0.80 ( (decreases @ (cardinality_at_time @ efficient_producers @ sk2))) |
% 1.31/0.80 ( (decreases @ (cardinality_at_time @ first_movers @ sk2)))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl121])).
% 1.31/0.80 thf(zip_derived_cl50, plain,
% 1.31/0.80 (((number_of_organizations @ sk1 @ sk2)
% 1.31/0.80 = (sum @ (cardinality_at_time @ first_movers @ sk2) @
% 1.31/0.80 (cardinality_at_time @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('simplify', [status(thm)], [zip_derived_cl49])).
% 1.31/0.80 thf(mp_abc_sum_increase_39, axiom,
% 1.31/0.80 (( ( A ) != ( sum @ B @ C ) ) | ( ~( constant @ A ) ) | ( constant @ C ) |
% 1.31/0.80 ( decreases @ C ) | ( increases @ C ))).
% 1.31/0.80 thf(zip_derived_cl12, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.80 (((X2) != (sum @ X0 @ X1))
% 1.31/0.80 | ~ (constant @ X2)
% 1.31/0.80 | (constant @ X1)
% 1.31/0.80 | (decreases @ X1)
% 1.31/0.80 | (increases @ X1))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_abc_sum_increase_39])).
% 1.31/0.80 thf(zip_derived_cl122, plain,
% 1.31/0.80 (![X0 : $i]:
% 1.31/0.80 (((X0) != (number_of_organizations @ sk1 @ sk2))
% 1.31/0.80 | ~ (constant @ X0)
% 1.31/0.80 | (constant @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | (decreases @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | (increases @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl12])).
% 1.31/0.80 thf('3', plain,
% 1.31/0.80 (( (constant @ (cardinality_at_time @ efficient_producers @ sk2))) |
% 1.31/0.80 ( (decreases @ (cardinality_at_time @ efficient_producers @ sk2))) |
% 1.31/0.80 ( (increases @ (cardinality_at_time @ efficient_producers @ sk2))) |
% 1.31/0.80 (![X0 : $i]:
% 1.31/0.80 (((X0) != (number_of_organizations @ sk1 @ sk2)) | ~ (constant @ X0)))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl122])).
% 1.31/0.80 thf(zip_derived_cl21, plain,
% 1.31/0.80 ( (subpopulations @ first_movers @ efficient_producers @ sk1 @ sk2)),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.31/0.80 thf(mp_non_zero_producers_44, axiom,
% 1.31/0.80 (( ~( environment @ A ) ) |
% 1.31/0.80 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 1.31/0.80 ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ))).
% 1.31/0.80 thf(zip_derived_cl17, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i]:
% 1.31/0.80 (~ (environment @ X0)
% 1.31/0.80 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 1.31/0.80 | (greater @ (cardinality_at_time @ efficient_producers @ X1) @ zero))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_non_zero_producers_44])).
% 1.31/0.80 thf(zip_derived_cl34, plain,
% 1.31/0.80 ((~ (environment @ sk1)
% 1.31/0.80 | (greater @ (cardinality_at_time @ efficient_producers @ sk2) @ zero))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl17])).
% 1.31/0.80 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/0.80 thf(zip_derived_cl35, plain,
% 1.31/0.80 ( (greater @ (cardinality_at_time @ efficient_producers @ sk2) @ zero)),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl20])).
% 1.31/0.80 thf(zip_derived_cl13, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.80 (~ (environment @ X0)
% 1.31/0.80 | ~ (in_environment @ X0 @ X1)
% 1.31/0.80 | ~ (subpopulation @ X2 @ X0 @ X1)
% 1.31/0.80 | ~ (greater @ (cardinality_at_time @ X2 @ X1) @ zero)
% 1.31/0.80 | ~ (constant @ (cardinality_at_time @ X2 @ X1))
% 1.31/0.80 | ((growth_rate @ X2 @ X1) = (zero)))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_growth_rate_40])).
% 1.31/0.80 thf(zip_derived_cl142, plain,
% 1.31/0.80 (![X0 : $i]:
% 1.31/0.80 (~ (environment @ X0)
% 1.31/0.80 | ~ (in_environment @ X0 @ sk2)
% 1.31/0.80 | ~ (subpopulation @ efficient_producers @ X0 @ sk2)
% 1.31/0.80 | ~ (constant @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | ((growth_rate @ efficient_producers @ sk2) = (zero)))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl13])).
% 1.31/0.80 thf(zip_derived_cl4, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i]:
% 1.31/0.80 (~ (environment @ X0)
% 1.31/0.80 | ~ (in_environment @ X0 @ X1)
% 1.31/0.80 | (subpopulation @ efficient_producers @ X0 @ X1))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_subpopulations_31])).
% 1.31/0.80 thf(zip_derived_cl159, plain,
% 1.31/0.80 (![X0 : $i]:
% 1.31/0.80 (((growth_rate @ efficient_producers @ sk2) = (zero))
% 1.31/0.80 | ~ (constant @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | ~ (in_environment @ X0 @ sk2)
% 1.31/0.80 | ~ (environment @ X0))),
% 1.31/0.80 inference('clc', [status(thm)], [zip_derived_cl142, zip_derived_cl4])).
% 1.31/0.80 thf(zip_derived_cl162, plain,
% 1.31/0.80 ((((growth_rate @ efficient_producers @ sk2) = (zero)))
% 1.31/0.80 <= ((((growth_rate @ efficient_producers @ sk2) = (zero))))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl159])).
% 1.31/0.80 thf(zip_derived_cl41, plain,
% 1.31/0.80 ( (subpopulation @ efficient_producers @ sk1 @ sk2)),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl20])).
% 1.31/0.80 thf(zip_derived_cl14, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.80 (~ (environment @ X0)
% 1.31/0.80 | ~ (in_environment @ X0 @ X1)
% 1.31/0.80 | ~ (subpopulation @ X2 @ X0 @ X1)
% 1.31/0.80 | ~ (greater @ (cardinality_at_time @ X2 @ X1) @ zero)
% 1.31/0.80 | ~ (increases @ (cardinality_at_time @ X2 @ X1))
% 1.31/0.80 | (greater @ (growth_rate @ X2 @ X1) @ zero))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_growth_rate_41])).
% 1.31/0.80 thf(zip_derived_cl170, plain,
% 1.31/0.80 ((~ (environment @ sk1)
% 1.31/0.80 | ~ (in_environment @ sk1 @ sk2)
% 1.31/0.80 | ~ (greater @ (cardinality_at_time @ efficient_producers @ sk2) @ zero)
% 1.31/0.80 | ~ (increases @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl14])).
% 1.31/0.80 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/0.80 thf(zip_derived_cl37, plain, ( (in_environment @ sk1 @ sk2)),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl20])).
% 1.31/0.80 thf(zip_derived_cl35, plain,
% 1.31/0.80 ( (greater @ (cardinality_at_time @ efficient_producers @ sk2) @ zero)),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl20])).
% 1.31/0.80 thf(zip_derived_cl172, plain,
% 1.31/0.80 ((~ (increases @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 1.31/0.80 inference('demod', [status(thm)],
% 1.31/0.80 [zip_derived_cl170, zip_derived_cl20, zip_derived_cl37,
% 1.31/0.80 zip_derived_cl35])).
% 1.31/0.80 thf(zip_derived_cl184, plain,
% 1.31/0.80 (( (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))
% 1.31/0.80 <= (( (greater @ (growth_rate @ efficient_producers @ sk2) @ zero)))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl172])).
% 1.31/0.80 thf(zip_derived_cl188, plain,
% 1.31/0.80 (( (greater @ zero @ zero))
% 1.31/0.80 <= ((((growth_rate @ efficient_producers @ sk2) = (zero))) &
% 1.31/0.80 ( (greater @ (growth_rate @ efficient_producers @ sk2) @ zero)))),
% 1.31/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl162, zip_derived_cl184])).
% 1.31/0.80 thf(zip_derived_cl162, plain,
% 1.31/0.80 ((((growth_rate @ efficient_producers @ sk2) = (zero)))
% 1.31/0.80 <= ((((growth_rate @ efficient_producers @ sk2) = (zero))))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl159])).
% 1.31/0.80 thf(prove_l7_51, conjecture,
% 1.31/0.80 (~( ( ~( greater @ zero @ ( growth_rate @ efficient_producers @ sk2 ) ) ) |
% 1.31/0.80 ( ~( greater @ ( growth_rate @ first_movers @ sk2 ) @ zero ) ) ))).
% 1.31/0.80 thf(zf_stmt_4, negated_conjecture,
% 1.31/0.80 (( ~( greater @ zero @ ( growth_rate @ efficient_producers @ sk2 ) ) ) |
% 1.31/0.80 ( ~( greater @ ( growth_rate @ first_movers @ sk2 ) @ zero ) )),
% 1.31/0.80 inference('cnf.neg', [status(esa)], [prove_l7_51])).
% 1.31/0.80 thf(zip_derived_cl24, plain,
% 1.31/0.80 ((~ (greater @ zero @ (growth_rate @ efficient_producers @ sk2))
% 1.31/0.80 | ~ (greater @ (growth_rate @ first_movers @ sk2) @ zero))),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.31/0.80 thf(zip_derived_cl29, plain,
% 1.31/0.80 ((~ (greater @ zero @ (growth_rate @ efficient_producers @ sk2)))
% 1.31/0.80 <= (~ ( (greater @ zero @ (growth_rate @ efficient_producers @ sk2))))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl24])).
% 1.31/0.80 thf(zip_derived_cl166, plain,
% 1.31/0.80 ((~ (greater @ zero @ zero))
% 1.31/0.80 <= (~ ( (greater @ zero @ (growth_rate @ efficient_producers @ sk2))) &
% 1.31/0.80 (((growth_rate @ efficient_producers @ sk2) = (zero))))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl29])).
% 1.31/0.80 thf('4', plain,
% 1.31/0.80 (~ (((growth_rate @ efficient_producers @ sk2) = (zero))) |
% 1.31/0.80 ( (greater @ zero @ (growth_rate @ efficient_producers @ sk2))) |
% 1.31/0.80 ~ ( (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl188, zip_derived_cl166])).
% 1.31/0.80 thf(zip_derived_cl50, plain,
% 1.31/0.80 (((number_of_organizations @ sk1 @ sk2)
% 1.31/0.80 = (sum @ (cardinality_at_time @ first_movers @ sk2) @
% 1.31/0.80 (cardinality_at_time @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('simplify', [status(thm)], [zip_derived_cl49])).
% 1.31/0.80 thf(mp_abc_sum_increase_35, axiom,
% 1.31/0.80 (( ( A ) != ( sum @ B @ C ) ) | ( ~( constant @ A ) ) | ( constant @ B ) |
% 1.31/0.80 ( decreases @ C ) | ( increases @ C ))).
% 1.31/0.80 thf(zip_derived_cl8, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.80 (((X2) != (sum @ X0 @ X1))
% 1.31/0.80 | ~ (constant @ X2)
% 1.31/0.80 | (constant @ X0)
% 1.31/0.80 | (decreases @ X1)
% 1.31/0.80 | (increases @ X1))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_abc_sum_increase_35])).
% 1.31/0.80 thf(zip_derived_cl89, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i]:
% 1.31/0.80 ( (increases @ X0)
% 1.31/0.80 | (decreases @ X0)
% 1.31/0.80 | (constant @ X1)
% 1.31/0.80 | ~ (constant @ (sum @ X1 @ X0)))),
% 1.31/0.80 inference('eq_res', [status(thm)], [zip_derived_cl8])).
% 1.31/0.80 thf(zip_derived_cl90, plain,
% 1.31/0.80 (( (increases @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | (decreases @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | (constant @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | ~ (constant @ (number_of_organizations @ sk1 @ sk2)))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl89])).
% 1.31/0.80 thf(zip_derived_cl22, plain,
% 1.31/0.80 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.31/0.80 thf(zip_derived_cl91, plain,
% 1.31/0.80 (( (increases @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | (decreases @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | (constant @ (cardinality_at_time @ first_movers @ sk2)))),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl90, zip_derived_cl22])).
% 1.31/0.80 thf('5', plain,
% 1.31/0.80 (( (increases @ (cardinality_at_time @ efficient_producers @ sk2))) |
% 1.31/0.80 ( (constant @ (cardinality_at_time @ first_movers @ sk2))) |
% 1.31/0.80 ( (decreases @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl91])).
% 1.31/0.80 thf(zip_derived_cl41, plain,
% 1.31/0.80 ( (subpopulation @ efficient_producers @ sk1 @ sk2)),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl20])).
% 1.31/0.80 thf(mp_growth_rate_42, axiom,
% 1.31/0.80 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 1.31/0.80 ( ~( subpopulation @ C @ A @ B ) ) |
% 1.31/0.80 ( ~( greater @ ( cardinality_at_time @ C @ B ) @ zero ) ) |
% 1.31/0.80 ( ~( decreases @ ( cardinality_at_time @ C @ B ) ) ) |
% 1.31/0.80 ( greater @ zero @ ( growth_rate @ C @ B ) ))).
% 1.31/0.80 thf(zip_derived_cl15, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.80 (~ (environment @ X0)
% 1.31/0.80 | ~ (in_environment @ X0 @ X1)
% 1.31/0.80 | ~ (subpopulation @ X2 @ X0 @ X1)
% 1.31/0.80 | ~ (greater @ (cardinality_at_time @ X2 @ X1) @ zero)
% 1.31/0.80 | ~ (decreases @ (cardinality_at_time @ X2 @ X1))
% 1.31/0.80 | (greater @ zero @ (growth_rate @ X2 @ X1)))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_growth_rate_42])).
% 1.31/0.80 thf(zip_derived_cl190, plain,
% 1.31/0.80 ((~ (environment @ sk1)
% 1.31/0.80 | ~ (in_environment @ sk1 @ sk2)
% 1.31/0.80 | ~ (greater @ (cardinality_at_time @ efficient_producers @ sk2) @ zero)
% 1.31/0.80 | ~ (decreases @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | (greater @ zero @ (growth_rate @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl41, zip_derived_cl15])).
% 1.31/0.80 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/0.80 thf(zip_derived_cl37, plain, ( (in_environment @ sk1 @ sk2)),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl20])).
% 1.31/0.80 thf(zip_derived_cl35, plain,
% 1.31/0.80 ( (greater @ (cardinality_at_time @ efficient_producers @ sk2) @ zero)),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl34, zip_derived_cl20])).
% 1.31/0.80 thf(zip_derived_cl192, plain,
% 1.31/0.80 ((~ (decreases @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | (greater @ zero @ (growth_rate @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('demod', [status(thm)],
% 1.31/0.80 [zip_derived_cl190, zip_derived_cl20, zip_derived_cl37,
% 1.31/0.80 zip_derived_cl35])).
% 1.31/0.80 thf('6', plain,
% 1.31/0.80 (~ ( (decreases @ (cardinality_at_time @ efficient_producers @ sk2))) |
% 1.31/0.80 ( (greater @ zero @ (growth_rate @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl192])).
% 1.31/0.80 thf('7', plain,
% 1.31/0.80 (~ ( (greater @ (growth_rate @ first_movers @ sk2) @ zero)) |
% 1.31/0.80 ~ ( (greater @ zero @ (growth_rate @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl24])).
% 1.31/0.80 thf('8', plain,
% 1.31/0.80 (~ ( (increases @ (cardinality_at_time @ first_movers @ sk2))) |
% 1.31/0.80 ( (greater @ (growth_rate @ first_movers @ sk2) @ zero))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl171])).
% 1.31/0.80 thf('9', plain,
% 1.31/0.80 ((![X0 : $i]: (~ (environment @ X0) | ~ (in_environment @ X0 @ sk2))) |
% 1.31/0.80 (((growth_rate @ efficient_producers @ sk2) = (zero))) |
% 1.31/0.80 ~ ( (constant @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl159])).
% 1.31/0.80 thf(zip_derived_cl37, plain, ( (in_environment @ sk1 @ sk2)),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl20])).
% 1.31/0.80 thf(zip_derived_cl146, plain,
% 1.31/0.80 ((![X0 : $i]: (~ (environment @ X0) | ~ (in_environment @ X0 @ sk2)))
% 1.31/0.80 <= ((![X0 : $i]:
% 1.31/0.80 (~ (environment @ X0) | ~ (in_environment @ X0 @ sk2))))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl145])).
% 1.31/0.80 thf(zip_derived_cl150, plain,
% 1.31/0.80 ((~ (environment @ sk1))
% 1.31/0.80 <= ((![X0 : $i]:
% 1.31/0.80 (~ (environment @ X0) | ~ (in_environment @ X0 @ sk2))))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl146])).
% 1.31/0.80 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/0.80 thf('10', plain,
% 1.31/0.80 (~ (![X0 : $i]: (~ (environment @ X0) | ~ (in_environment @ X0 @ sk2)))),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl150, zip_derived_cl20])).
% 1.31/0.80 thf(zip_derived_cl50, plain,
% 1.31/0.80 (((number_of_organizations @ sk1 @ sk2)
% 1.31/0.80 = (sum @ (cardinality_at_time @ first_movers @ sk2) @
% 1.31/0.80 (cardinality_at_time @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('simplify', [status(thm)], [zip_derived_cl49])).
% 1.31/0.80 thf(mp_abc_sum_increase_37, axiom,
% 1.31/0.80 (( ( A ) != ( sum @ B @ C ) ) | ( ~( constant @ A ) ) | ( constant @ C ) |
% 1.31/0.80 ( increases @ B ) | ( increases @ C ))).
% 1.31/0.80 thf(zip_derived_cl10, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.80 (((X2) != (sum @ X0 @ X1))
% 1.31/0.80 | ~ (constant @ X2)
% 1.31/0.80 | (constant @ X1)
% 1.31/0.80 | (increases @ X0)
% 1.31/0.80 | (increases @ X1))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_abc_sum_increase_37])).
% 1.31/0.80 thf(zip_derived_cl113, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i]:
% 1.31/0.80 ( (increases @ X0)
% 1.31/0.80 | (increases @ X1)
% 1.31/0.80 | (constant @ X0)
% 1.31/0.80 | ~ (constant @ (sum @ X1 @ X0)))),
% 1.31/0.80 inference('eq_res', [status(thm)], [zip_derived_cl10])).
% 1.31/0.80 thf(zip_derived_cl118, plain,
% 1.31/0.80 (( (increases @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | (increases @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (constant @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | ~ (constant @ (number_of_organizations @ sk1 @ sk2)))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl113])).
% 1.31/0.80 thf(zip_derived_cl22, plain,
% 1.31/0.80 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.31/0.80 thf(zip_derived_cl119, plain,
% 1.31/0.80 (( (increases @ (cardinality_at_time @ efficient_producers @ sk2))
% 1.31/0.80 | (increases @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (constant @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl118, zip_derived_cl22])).
% 1.31/0.80 thf('11', plain,
% 1.31/0.80 (( (increases @ (cardinality_at_time @ efficient_producers @ sk2))) |
% 1.31/0.80 ( (constant @ (cardinality_at_time @ efficient_producers @ sk2))) |
% 1.31/0.80 ( (increases @ (cardinality_at_time @ first_movers @ sk2)))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl119])).
% 1.31/0.80 thf(zip_derived_cl50, plain,
% 1.31/0.80 (((number_of_organizations @ sk1 @ sk2)
% 1.31/0.80 = (sum @ (cardinality_at_time @ first_movers @ sk2) @
% 1.31/0.80 (cardinality_at_time @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('simplify', [status(thm)], [zip_derived_cl49])).
% 1.31/0.80 thf(mp_abc_sum_increase_32, axiom,
% 1.31/0.80 (( ( A ) != ( sum @ B @ C ) ) | ( ~( constant @ A ) ) | ( constant @ B ) |
% 1.31/0.80 ( increases @ B ) | ( decreases @ B ))).
% 1.31/0.80 thf(zip_derived_cl5, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.80 (((X2) != (sum @ X0 @ X1))
% 1.31/0.80 | ~ (constant @ X2)
% 1.31/0.80 | (constant @ X0)
% 1.31/0.80 | (increases @ X0)
% 1.31/0.80 | (decreases @ X0))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_abc_sum_increase_32])).
% 1.31/0.80 thf(zip_derived_cl52, plain,
% 1.31/0.80 (![X0 : $i]:
% 1.31/0.80 (((X0) != (number_of_organizations @ sk1 @ sk2))
% 1.31/0.80 | ~ (constant @ X0)
% 1.31/0.80 | (constant @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (increases @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (decreases @ (cardinality_at_time @ first_movers @ sk2)))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl5])).
% 1.31/0.80 thf(zip_derived_cl56, plain,
% 1.31/0.80 ((![X0 : $i]:
% 1.31/0.80 (((X0) != (number_of_organizations @ sk1 @ sk2)) | ~ (constant @ X0)))
% 1.31/0.80 <= ((![X0 : $i]:
% 1.31/0.80 (((X0) != (number_of_organizations @ sk1 @ sk2))
% 1.31/0.80 | ~ (constant @ X0))))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl52])).
% 1.31/0.80 thf(zip_derived_cl60, plain,
% 1.31/0.80 ((~ (constant @ (number_of_organizations @ sk1 @ sk2)))
% 1.31/0.80 <= ((![X0 : $i]:
% 1.31/0.80 (((X0) != (number_of_organizations @ sk1 @ sk2))
% 1.31/0.80 | ~ (constant @ X0))))),
% 1.31/0.80 inference('eq_res', [status(thm)], [zip_derived_cl56])).
% 1.31/0.80 thf(zip_derived_cl22, plain,
% 1.31/0.80 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.31/0.80 thf('12', plain,
% 1.31/0.80 (~
% 1.31/0.80 (![X0 : $i]:
% 1.31/0.80 (((X0) != (number_of_organizations @ sk1 @ sk2)) | ~ (constant @ X0)))),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl60, zip_derived_cl22])).
% 1.31/0.80 thf(zip_derived_cl50, plain,
% 1.31/0.80 (((number_of_organizations @ sk1 @ sk2)
% 1.31/0.80 = (sum @ (cardinality_at_time @ first_movers @ sk2) @
% 1.31/0.80 (cardinality_at_time @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('simplify', [status(thm)], [zip_derived_cl49])).
% 1.31/0.80 thf(mp_abc_sum_increase_33, axiom,
% 1.31/0.80 (( ( A ) != ( sum @ B @ C ) ) | ( ~( constant @ A ) ) | ( constant @ B ) |
% 1.31/0.80 ( increases @ B ) | ( increases @ C ))).
% 1.31/0.80 thf(zip_derived_cl6, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.80 (((X2) != (sum @ X0 @ X1))
% 1.31/0.80 | ~ (constant @ X2)
% 1.31/0.80 | (constant @ X0)
% 1.31/0.80 | (increases @ X0)
% 1.31/0.80 | (increases @ X1))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_abc_sum_increase_33])).
% 1.31/0.80 thf(zip_derived_cl69, plain,
% 1.31/0.80 (![X0 : $i]:
% 1.31/0.80 (((X0) != (number_of_organizations @ sk1 @ sk2))
% 1.31/0.80 | ~ (constant @ X0)
% 1.31/0.80 | (constant @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (increases @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (increases @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl6])).
% 1.31/0.80 thf('13', plain,
% 1.31/0.80 (( (increases @ (cardinality_at_time @ efficient_producers @ sk2))) |
% 1.31/0.80 ( (constant @ (cardinality_at_time @ first_movers @ sk2))) |
% 1.31/0.80 ( (increases @ (cardinality_at_time @ first_movers @ sk2))) |
% 1.31/0.80 (![X0 : $i]:
% 1.31/0.80 (((X0) != (number_of_organizations @ sk1 @ sk2)) | ~ (constant @ X0)))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl69])).
% 1.31/0.80 thf(prove_l7_50, conjecture,
% 1.31/0.80 (~( ( ( growth_rate @ efficient_producers @ sk2 ) != ( zero ) ) |
% 1.31/0.80 ( ( growth_rate @ first_movers @ sk2 ) != ( zero ) ) ))).
% 1.31/0.80 thf(zf_stmt_5, negated_conjecture,
% 1.31/0.80 (( ( growth_rate @ efficient_producers @ sk2 ) != ( zero ) ) |
% 1.31/0.80 ( ( growth_rate @ first_movers @ sk2 ) != ( zero ) )),
% 1.31/0.80 inference('cnf.neg', [status(esa)], [prove_l7_50])).
% 1.31/0.80 thf(zip_derived_cl23, plain,
% 1.31/0.80 ((((growth_rate @ efficient_producers @ sk2) != (zero))
% 1.31/0.80 | ((growth_rate @ first_movers @ sk2) != (zero)))),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_5])).
% 1.31/0.80 thf('14', plain,
% 1.31/0.80 (~ (((growth_rate @ first_movers @ sk2) = (zero))) |
% 1.31/0.80 ~ (((growth_rate @ efficient_producers @ sk2) = (zero)))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl23])).
% 1.31/0.80 thf('15', plain,
% 1.31/0.80 (( (greater @ (growth_rate @ efficient_producers @ sk2) @ zero)) |
% 1.31/0.80 ~ ( (increases @ (cardinality_at_time @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl172])).
% 1.31/0.80 thf('16', plain,
% 1.31/0.80 (~ ( (greater @ zero @ (growth_rate @ first_movers @ sk2))) |
% 1.31/0.80 ~ ( (greater @ (growth_rate @ efficient_producers @ sk2) @ zero))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl25])).
% 1.31/0.80 thf(zip_derived_cl40, plain, ( (subpopulation @ first_movers @ sk1 @ sk2)),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl20])).
% 1.31/0.80 thf(zip_derived_cl15, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.80 (~ (environment @ X0)
% 1.31/0.80 | ~ (in_environment @ X0 @ X1)
% 1.31/0.80 | ~ (subpopulation @ X2 @ X0 @ X1)
% 1.31/0.80 | ~ (greater @ (cardinality_at_time @ X2 @ X1) @ zero)
% 1.31/0.80 | ~ (decreases @ (cardinality_at_time @ X2 @ X1))
% 1.31/0.80 | (greater @ zero @ (growth_rate @ X2 @ X1)))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_growth_rate_42])).
% 1.31/0.80 thf(zip_derived_cl189, plain,
% 1.31/0.80 ((~ (environment @ sk1)
% 1.31/0.80 | ~ (in_environment @ sk1 @ sk2)
% 1.31/0.80 | ~ (greater @ (cardinality_at_time @ first_movers @ sk2) @ zero)
% 1.31/0.80 | ~ (decreases @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (greater @ zero @ (growth_rate @ first_movers @ sk2)))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl15])).
% 1.31/0.80 thf(zip_derived_cl20, plain, ( (environment @ sk1)),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.31/0.80 thf(zip_derived_cl37, plain, ( (in_environment @ sk1 @ sk2)),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl20])).
% 1.31/0.80 thf(zip_derived_cl33, plain,
% 1.31/0.80 ( (greater @ (cardinality_at_time @ first_movers @ sk2) @ zero)),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl32, zip_derived_cl20])).
% 1.31/0.80 thf(zip_derived_cl191, plain,
% 1.31/0.80 ((~ (decreases @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (greater @ zero @ (growth_rate @ first_movers @ sk2)))),
% 1.31/0.80 inference('demod', [status(thm)],
% 1.31/0.80 [zip_derived_cl189, zip_derived_cl20, zip_derived_cl37,
% 1.31/0.80 zip_derived_cl33])).
% 1.31/0.80 thf('17', plain,
% 1.31/0.80 (~ ( (decreases @ (cardinality_at_time @ first_movers @ sk2))) |
% 1.31/0.80 ( (greater @ zero @ (growth_rate @ first_movers @ sk2)))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl191])).
% 1.31/0.80 thf(zip_derived_cl50, plain,
% 1.31/0.80 (((number_of_organizations @ sk1 @ sk2)
% 1.31/0.80 = (sum @ (cardinality_at_time @ first_movers @ sk2) @
% 1.31/0.80 (cardinality_at_time @ efficient_producers @ sk2)))),
% 1.31/0.80 inference('simplify', [status(thm)], [zip_derived_cl49])).
% 1.31/0.80 thf(zip_derived_cl5, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.31/0.80 (((X2) != (sum @ X0 @ X1))
% 1.31/0.80 | ~ (constant @ X2)
% 1.31/0.80 | (constant @ X0)
% 1.31/0.80 | (increases @ X0)
% 1.31/0.80 | (decreases @ X0))),
% 1.31/0.80 inference('cnf', [status(esa)], [mp_abc_sum_increase_32])).
% 1.31/0.80 thf(zip_derived_cl51, plain,
% 1.31/0.80 (![X0 : $i, X1 : $i]:
% 1.31/0.80 ( (decreases @ X0)
% 1.31/0.80 | (increases @ X0)
% 1.31/0.80 | (constant @ X0)
% 1.31/0.80 | ~ (constant @ (sum @ X0 @ X1)))),
% 1.31/0.80 inference('eq_res', [status(thm)], [zip_derived_cl5])).
% 1.31/0.80 thf(zip_derived_cl67, plain,
% 1.31/0.80 (( (decreases @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (increases @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (constant @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | ~ (constant @ (number_of_organizations @ sk1 @ sk2)))),
% 1.31/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl51])).
% 1.31/0.80 thf(zip_derived_cl22, plain,
% 1.31/0.80 ( (constant @ (number_of_organizations @ sk1 @ sk2))),
% 1.31/0.80 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.31/0.80 thf(zip_derived_cl68, plain,
% 1.31/0.80 (( (decreases @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (increases @ (cardinality_at_time @ first_movers @ sk2))
% 1.31/0.80 | (constant @ (cardinality_at_time @ first_movers @ sk2)))),
% 1.31/0.80 inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl22])).
% 1.31/0.80 thf('18', plain,
% 1.31/0.80 (( (constant @ (cardinality_at_time @ first_movers @ sk2))) |
% 1.31/0.80 ( (decreases @ (cardinality_at_time @ first_movers @ sk2))) |
% 1.31/0.80 ( (increases @ (cardinality_at_time @ first_movers @ sk2)))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl68])).
% 1.31/0.80 thf('19', plain,
% 1.31/0.80 (~ ( (constant @ (cardinality_at_time @ first_movers @ sk2))) |
% 1.31/0.80 (((growth_rate @ first_movers @ sk2) = (zero))) |
% 1.31/0.80 (![X0 : $i]: (~ (environment @ X0) | ~ (in_environment @ X0 @ sk2)))),
% 1.31/0.80 inference('split', [status(esa)], [zip_derived_cl145])).
% 1.31/0.80 thf(zip_derived_cl215, plain, ($false),
% 1.31/0.80 inference('sat_resolution*', [status(thm)],
% 1.31/0.80 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 1.31/0.80 '12', '13', '14', '15', '16', '17', '18', '19'])).
% 1.31/0.80
% 1.31/0.80 % SZS output end Refutation
% 1.31/0.80
% 1.31/0.80
% 1.31/0.80 % Terminating...
% 1.31/0.85 % Runner terminated.
% 1.31/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------