TSTP Solution File: MGT027-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT027-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vYYrfbYi37 true
% Computer : n017.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 09:19:57 EDT 2023
% Result : Unsatisfiable 1.32s 0.85s
% Output : Refutation 1.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : MGT027-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vYYrfbYi37 true
% 0.11/0.34 % Computer : n017.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Aug 28 05:47:27 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.11/0.34 % Running portfolio for 300 s
% 0.11/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in FO mode
% 0.20/0.62 % Total configuration time : 435
% 0.20/0.62 % Estimated wc time : 1092
% 0.20/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.06/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.06/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.31/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.31/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.31/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.85 % Solved by fo/fo5.sh.
% 1.32/0.85 % done 103 iterations in 0.084s
% 1.32/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.32/0.85 % SZS output start Refutation
% 1.32/0.85 thf(first_movers_type, type, first_movers: $i).
% 1.32/0.85 thf(zero_type, type, zero: $i).
% 1.32/0.85 thf(efficient_producers_type, type, efficient_producers: $i).
% 1.32/0.85 thf(sk2_type, type, sk2: $i > $i).
% 1.32/0.85 thf(subpopulations_type, type, subpopulations: $i > $i > $i > $i > $o).
% 1.32/0.85 thf(in_environment_type, type, in_environment: $i > $i > $o).
% 1.32/0.85 thf(greater_or_equal_type, type, greater_or_equal: $i > $i > $o).
% 1.32/0.85 thf(contracts_from_type, type, contracts_from: $i > $i > $o).
% 1.32/0.85 thf(environment_type, type, environment: $i > $o).
% 1.32/0.85 thf(sk3_type, type, sk3: $i).
% 1.32/0.85 thf(cardinality_at_time_type, type, cardinality_at_time: $i > $i > $i).
% 1.32/0.85 thf(stable_type, type, stable: $i > $o).
% 1.32/0.85 thf(growth_rate_type, type, growth_rate: $i > $i > $i).
% 1.32/0.85 thf(appear_type, type, appear: $i > $i > $i).
% 1.32/0.85 thf(sk1_type, type, sk1: $i > $i > $i).
% 1.32/0.85 thf(greater_type, type, greater: $i > $i > $o).
% 1.32/0.85 thf(mp_EP_in_stable_environments_29, axiom,
% 1.32/0.85 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 1.32/0.85 ( in_environment @ A @ ( appear @ efficient_producers @ A ) ))).
% 1.32/0.85 thf(zip_derived_cl5, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | (in_environment @ X0 @ (appear @ efficient_producers @ X0)))),
% 1.32/0.85 inference('cnf', [status(esa)], [mp_EP_in_stable_environments_29])).
% 1.32/0.85 thf(l10_35, axiom,
% 1.32/0.85 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 1.32/0.85 ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ))).
% 1.32/0.85 thf(zip_derived_cl11, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0)))),
% 1.32/0.85 inference('cnf', [status(esa)], [l10_35])).
% 1.32/0.85 thf(mp_long_stable_environments_28, axiom,
% 1.32/0.85 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 1.32/0.85 ( ~( in_environment @ A @ B ) ) | ( ~( greater @ C @ B ) ) |
% 1.32/0.85 ( in_environment @ A @ C ))).
% 1.32/0.85 thf(zip_derived_cl4, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (in_environment @ X0 @ X1)
% 1.32/0.85 | ~ (greater @ X2 @ X1)
% 1.32/0.85 | (in_environment @ X0 @ X2))),
% 1.32/0.85 inference('cnf', [status(esa)], [mp_long_stable_environments_28])).
% 1.32/0.85 thf(zip_derived_cl32, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (in_environment @ X1 @ (sk2 @ X0))
% 1.32/0.85 | ~ (in_environment @ X1 @ (appear @ efficient_producers @ X0))
% 1.32/0.85 | ~ (stable @ X1)
% 1.32/0.85 | ~ (environment @ X1))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl4])).
% 1.32/0.85 thf(zip_derived_cl49, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | (in_environment @ X0 @ (sk2 @ X0))
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl32])).
% 1.32/0.85 thf(zip_derived_cl50, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (in_environment @ X0 @ (sk2 @ X0))
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl49])).
% 1.32/0.85 thf(zip_derived_cl5, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | (in_environment @ X0 @ (appear @ efficient_producers @ X0)))),
% 1.32/0.85 inference('cnf', [status(esa)], [mp_EP_in_stable_environments_29])).
% 1.32/0.85 thf(zip_derived_cl11, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0)))),
% 1.32/0.85 inference('cnf', [status(esa)], [l10_35])).
% 1.32/0.85 thf(zip_derived_cl50, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (in_environment @ X0 @ (sk2 @ X0))
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl49])).
% 1.32/0.85 thf(mp_contracts_from_25, axiom,
% 1.32/0.85 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 1.32/0.85 ( ~( in_environment @ A @ B ) ) |
% 1.32/0.85 ( greater_or_equal @ ( sk1 @ B @ A ) @ B ) |
% 1.32/0.85 ( contracts_from @ B @ first_movers ))).
% 1.32/0.85 thf(zip_derived_cl1, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (in_environment @ X0 @ X1)
% 1.32/0.85 | (greater_or_equal @ (sk1 @ X1 @ X0) @ X1)
% 1.32/0.85 | (contracts_from @ X1 @ first_movers))),
% 1.32/0.85 inference('cnf', [status(esa)], [mp_contracts_from_25])).
% 1.32/0.85 thf(zip_derived_cl52, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | (greater_or_equal @ (sk1 @ (sk2 @ X0) @ X0) @ (sk2 @ X0))
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl1])).
% 1.32/0.85 thf(zip_derived_cl54, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (greater_or_equal @ (sk1 @ (sk2 @ X0) @ X0) @ (sk2 @ X0))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl52])).
% 1.32/0.85 thf(mp_greater_or_equal_31, axiom,
% 1.32/0.85 (( ~( greater_or_equal @ A @ B ) ) | ( greater @ A @ B ) |
% 1.32/0.85 ( ( A ) = ( B ) ))).
% 1.32/0.85 thf(zip_derived_cl7, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (greater_or_equal @ X0 @ X1) | (greater @ X0 @ X1) | ((X0) = (X1)))),
% 1.32/0.85 inference('cnf', [status(esa)], [mp_greater_or_equal_31])).
% 1.32/0.85 thf(zip_derived_cl66, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | (greater @ (sk1 @ (sk2 @ X0) @ X0) @ (sk2 @ X0)))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl7])).
% 1.32/0.85 thf(mp_greater_transitivity_30, axiom,
% 1.32/0.85 (( ~( greater @ A @ B ) ) | ( ~( greater @ B @ C ) ) | ( greater @ A @ C ))).
% 1.32/0.85 thf(zip_derived_cl6, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.85 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 1.32/0.85 inference('cnf', [status(esa)], [mp_greater_transitivity_30])).
% 1.32/0.85 thf(zip_derived_cl69, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | (greater @ (sk1 @ (sk2 @ X0) @ X0) @ X1)
% 1.32/0.85 | ~ (greater @ (sk2 @ X0) @ X1))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl6])).
% 1.32/0.85 thf(zip_derived_cl78, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (greater @ (sk1 @ (sk2 @ X0) @ X0) @
% 1.32/0.85 (appear @ efficient_producers @ X0))
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0)))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl69])).
% 1.32/0.85 thf(zip_derived_cl79, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | (greater @ (sk1 @ (sk2 @ X0) @ X0) @
% 1.32/0.85 (appear @ efficient_producers @ X0))
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl78])).
% 1.32/0.85 thf(zip_derived_cl4, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (in_environment @ X0 @ X1)
% 1.32/0.85 | ~ (greater @ X2 @ X1)
% 1.32/0.85 | (in_environment @ X0 @ X2))),
% 1.32/0.85 inference('cnf', [status(esa)], [mp_long_stable_environments_28])).
% 1.32/0.85 thf(zip_derived_cl83, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | (in_environment @ X1 @ (sk1 @ (sk2 @ X0) @ X0))
% 1.32/0.85 | ~ (in_environment @ X1 @ (appear @ efficient_producers @ X0))
% 1.32/0.85 | ~ (stable @ X1)
% 1.32/0.85 | ~ (environment @ X1))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl4])).
% 1.32/0.85 thf(zip_derived_cl105, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | (in_environment @ X0 @ (sk1 @ (sk2 @ X0) @ X0))
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl83])).
% 1.32/0.85 thf(zip_derived_cl106, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | (in_environment @ X0 @ (sk1 @ (sk2 @ X0) @ X0))
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl105])).
% 1.32/0.85 thf(zip_derived_cl79, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | (greater @ (sk1 @ (sk2 @ X0) @ X0) @
% 1.32/0.85 (appear @ efficient_producers @ X0))
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl78])).
% 1.32/0.85 thf(mp_greater_or_equal_32, axiom,
% 1.32/0.85 (( ~( greater @ A @ B ) ) | ( greater_or_equal @ A @ B ))).
% 1.32/0.85 thf(zip_derived_cl8, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 1.32/0.85 inference('cnf', [status(esa)], [mp_greater_or_equal_32])).
% 1.32/0.85 thf(zip_derived_cl85, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | (greater_or_equal @ (sk1 @ (sk2 @ X0) @ X0) @
% 1.32/0.85 (appear @ efficient_producers @ X0)))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl8])).
% 1.32/0.85 thf(t6_34, axiom,
% 1.32/0.85 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 1.32/0.85 ( ~( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) ) ) |
% 1.32/0.85 ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ))).
% 1.32/0.85 thf(zip_derived_cl10, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (in_environment @ X0 @ X1)
% 1.32/0.85 | ~ (greater_or_equal @ X1 @ (appear @ efficient_producers @ X0))
% 1.32/0.85 | (greater @ (cardinality_at_time @ efficient_producers @ X1) @ zero))),
% 1.32/0.85 inference('cnf', [status(esa)], [t6_34])).
% 1.32/0.85 thf(zip_derived_cl95, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | (greater @
% 1.32/0.85 (cardinality_at_time @ efficient_producers @
% 1.32/0.85 (sk1 @ (sk2 @ X0) @ X0)) @
% 1.32/0.85 zero)
% 1.32/0.85 | ~ (in_environment @ X0 @ (sk1 @ (sk2 @ X0) @ X0))
% 1.32/0.85 | ~ (environment @ X0))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl10])).
% 1.32/0.85 thf(zip_derived_cl96, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (in_environment @ X0 @ (sk1 @ (sk2 @ X0) @ X0))
% 1.32/0.85 | (greater @
% 1.32/0.85 (cardinality_at_time @ efficient_producers @
% 1.32/0.85 (sk1 @ (sk2 @ X0) @ X0)) @
% 1.32/0.85 zero)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0)))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl95])).
% 1.32/0.85 thf(zip_derived_cl106, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | (in_environment @ X0 @ (sk1 @ (sk2 @ X0) @ X0))
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl105])).
% 1.32/0.85 thf(zip_derived_cl117, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | (greater @
% 1.32/0.85 (cardinality_at_time @ efficient_producers @
% 1.32/0.85 (sk1 @ (sk2 @ X0) @ X0)) @
% 1.32/0.85 zero))),
% 1.32/0.85 inference('clc', [status(thm)], [zip_derived_cl96, zip_derived_cl106])).
% 1.32/0.85 thf(zip_derived_cl50, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (in_environment @ X0 @ (sk2 @ X0))
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl49])).
% 1.32/0.85 thf(mp_contracts_from_24, axiom,
% 1.32/0.85 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 1.32/0.85 ( ~( in_environment @ A @ B ) ) |
% 1.32/0.85 ( greater @
% 1.32/0.85 ( cardinality_at_time @ first_movers @ ( sk1 @ B @ A ) ) @ zero ) |
% 1.32/0.85 ( contracts_from @ B @ first_movers ))).
% 1.32/0.85 thf(zip_derived_cl0, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (in_environment @ X0 @ X1)
% 1.32/0.85 | (greater @
% 1.32/0.85 (cardinality_at_time @ first_movers @ (sk1 @ X1 @ X0)) @ zero)
% 1.32/0.85 | (contracts_from @ X1 @ first_movers))),
% 1.32/0.85 inference('cnf', [status(esa)], [mp_contracts_from_24])).
% 1.32/0.85 thf(zip_derived_cl51, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | (greater @
% 1.32/0.85 (cardinality_at_time @ first_movers @ (sk1 @ (sk2 @ X0) @ X0)) @
% 1.32/0.85 zero)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl0])).
% 1.32/0.85 thf(zip_derived_cl53, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (greater @
% 1.32/0.85 (cardinality_at_time @ first_movers @ (sk1 @ (sk2 @ X0) @ X0)) @
% 1.32/0.85 zero)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl51])).
% 1.32/0.85 thf(mp_non_empty_fm_and_ep_27, axiom,
% 1.32/0.85 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 1.32/0.85 ( ~( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero ) ) |
% 1.32/0.85 ( ~( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) ) |
% 1.32/0.85 ( subpopulations @ first_movers @ efficient_producers @ A @ B ))).
% 1.32/0.85 thf(zip_derived_cl3, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (in_environment @ X0 @ X1)
% 1.32/0.85 | ~ (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 1.32/0.85 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X1) @
% 1.32/0.85 zero)
% 1.32/0.85 | (subpopulations @ first_movers @ efficient_producers @ X0 @ X1))),
% 1.32/0.85 inference('cnf', [status(esa)], [mp_non_empty_fm_and_ep_27])).
% 1.32/0.85 thf(zip_derived_cl65, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | (subpopulations @ first_movers @ efficient_producers @ X1 @
% 1.32/0.85 (sk1 @ (sk2 @ X0) @ X0))
% 1.32/0.85 | ~ (greater @
% 1.32/0.85 (cardinality_at_time @ efficient_producers @
% 1.32/0.85 (sk1 @ (sk2 @ X0) @ X0)) @
% 1.32/0.85 zero)
% 1.32/0.85 | ~ (in_environment @ X1 @ (sk1 @ (sk2 @ X0) @ X0))
% 1.32/0.85 | ~ (environment @ X1))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl3])).
% 1.32/0.85 thf(zip_derived_cl121, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | ~ (environment @ X1)
% 1.32/0.85 | ~ (in_environment @ X1 @ (sk1 @ (sk2 @ X0) @ X0))
% 1.32/0.85 | (subpopulations @ first_movers @ efficient_producers @ X1 @
% 1.32/0.85 (sk1 @ (sk2 @ X0) @ X0))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl117, zip_derived_cl65])).
% 1.32/0.85 thf(zip_derived_cl122, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 ( (subpopulations @ first_movers @ efficient_producers @ X1 @
% 1.32/0.85 (sk1 @ (sk2 @ X0) @ X0))
% 1.32/0.85 | ~ (in_environment @ X1 @ (sk1 @ (sk2 @ X0) @ X0))
% 1.32/0.85 | ~ (environment @ X1)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl121])).
% 1.32/0.85 thf(zip_derived_cl135, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (subpopulations @ first_movers @ efficient_producers @ X0 @
% 1.32/0.85 (sk1 @ (sk2 @ X0) @ X0)))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl106, zip_derived_cl122])).
% 1.32/0.85 thf(zip_derived_cl136, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (subpopulations @ first_movers @ efficient_producers @ X0 @
% 1.32/0.85 (sk1 @ (sk2 @ X0) @ X0))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl135])).
% 1.32/0.85 thf(l10_36, axiom,
% 1.32/0.85 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 1.32/0.85 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 1.32/0.85 ( ~( greater_or_equal @ B @ ( sk2 @ A ) ) ) |
% 1.32/0.85 ( greater @ zero @ ( growth_rate @ first_movers @ B ) ))).
% 1.32/0.85 thf(zip_derived_cl12, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 1.32/0.85 | ~ (greater_or_equal @ X1 @ (sk2 @ X0))
% 1.32/0.85 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 1.32/0.85 inference('cnf', [status(esa)], [l10_36])).
% 1.32/0.85 thf(zip_derived_cl137, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | (greater @ zero @
% 1.32/0.85 (growth_rate @ first_movers @ (sk1 @ (sk2 @ X0) @ X0)))
% 1.32/0.85 | ~ (greater_or_equal @ (sk1 @ (sk2 @ X0) @ X0) @ (sk2 @ X0))
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl136, zip_derived_cl12])).
% 1.32/0.85 thf(zip_derived_cl138, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (greater_or_equal @ (sk1 @ (sk2 @ X0) @ X0) @ (sk2 @ X0))
% 1.32/0.85 | (greater @ zero @
% 1.32/0.85 (growth_rate @ first_movers @ (sk1 @ (sk2 @ X0) @ X0)))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl137])).
% 1.32/0.85 thf(zip_derived_cl54, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (greater_or_equal @ (sk1 @ (sk2 @ X0) @ X0) @ (sk2 @ X0))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl52])).
% 1.32/0.85 thf(zip_derived_cl139, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | (greater @ zero @
% 1.32/0.85 (growth_rate @ first_movers @ (sk1 @ (sk2 @ X0) @ X0))))),
% 1.32/0.85 inference('clc', [status(thm)], [zip_derived_cl138, zip_derived_cl54])).
% 1.32/0.85 thf(mp_contracts_from_26, axiom,
% 1.32/0.85 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 1.32/0.85 ( ~( in_environment @ A @ B ) ) |
% 1.32/0.85 ( ~( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) ) ) |
% 1.32/0.85 ( contracts_from @ B @ first_movers ))).
% 1.32/0.85 thf(zip_derived_cl2, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (in_environment @ X0 @ X1)
% 1.32/0.85 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ X1 @ X0)))
% 1.32/0.85 | (contracts_from @ X1 @ first_movers))),
% 1.32/0.85 inference('cnf', [status(esa)], [mp_contracts_from_26])).
% 1.32/0.85 thf(zip_derived_cl149, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (in_environment @ X0 @ (sk2 @ X0))
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl2])).
% 1.32/0.85 thf(zip_derived_cl150, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (in_environment @ X0 @ (sk2 @ X0))
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl149])).
% 1.32/0.85 thf(zip_derived_cl50, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (in_environment @ X0 @ (sk2 @ X0))
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl49])).
% 1.32/0.85 thf(zip_derived_cl151, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('clc', [status(thm)], [zip_derived_cl150, zip_derived_cl50])).
% 1.32/0.85 thf(zip_derived_cl53, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (greater @
% 1.32/0.85 (cardinality_at_time @ first_movers @ (sk1 @ (sk2 @ X0) @ X0)) @
% 1.32/0.85 zero)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl51])).
% 1.32/0.85 thf(zip_derived_cl153, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (greater @ (cardinality_at_time @ first_movers @ (sk2 @ X0)) @ zero)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers))),
% 1.32/0.85 inference('sup+', [status(thm)], [zip_derived_cl151, zip_derived_cl53])).
% 1.32/0.85 thf(zip_derived_cl159, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | (greater @ (cardinality_at_time @ first_movers @ (sk2 @ X0)) @
% 1.32/0.85 zero))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl153])).
% 1.32/0.85 thf(zip_derived_cl3, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (in_environment @ X0 @ X1)
% 1.32/0.85 | ~ (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 1.32/0.85 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X1) @
% 1.32/0.85 zero)
% 1.32/0.85 | (subpopulations @ first_movers @ efficient_producers @ X0 @ X1))),
% 1.32/0.85 inference('cnf', [status(esa)], [mp_non_empty_fm_and_ep_27])).
% 1.32/0.85 thf(zip_derived_cl168, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | (subpopulations @ first_movers @ efficient_producers @ X1 @
% 1.32/0.85 (sk2 @ X0))
% 1.32/0.85 | ~ (greater @
% 1.32/0.85 (cardinality_at_time @ efficient_producers @ (sk2 @ X0)) @ zero)
% 1.32/0.85 | ~ (in_environment @ X1 @ (sk2 @ X0))
% 1.32/0.85 | ~ (environment @ X1))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl159, zip_derived_cl3])).
% 1.32/0.85 thf(zip_derived_cl11, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0)))),
% 1.32/0.85 inference('cnf', [status(esa)], [l10_35])).
% 1.32/0.85 thf(zip_derived_cl8, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 1.32/0.85 inference('cnf', [status(esa)], [mp_greater_or_equal_32])).
% 1.32/0.85 thf(zip_derived_cl20, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (greater_or_equal @ (sk2 @ X0) @
% 1.32/0.85 (appear @ efficient_producers @ X0)))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl8])).
% 1.32/0.85 thf(zip_derived_cl10, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (in_environment @ X0 @ X1)
% 1.32/0.85 | ~ (greater_or_equal @ X1 @ (appear @ efficient_producers @ X0))
% 1.32/0.85 | (greater @ (cardinality_at_time @ efficient_producers @ X1) @ zero))),
% 1.32/0.85 inference('cnf', [status(esa)], [t6_34])).
% 1.32/0.85 thf(zip_derived_cl34, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | (greater @
% 1.32/0.85 (cardinality_at_time @ efficient_producers @ (sk2 @ X0)) @ zero)
% 1.32/0.85 | ~ (in_environment @ X0 @ (sk2 @ X0))
% 1.32/0.85 | ~ (environment @ X0))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl10])).
% 1.32/0.85 thf(zip_derived_cl35, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (in_environment @ X0 @ (sk2 @ X0))
% 1.32/0.85 | (greater @
% 1.32/0.85 (cardinality_at_time @ efficient_producers @ (sk2 @ X0)) @ zero)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl34])).
% 1.32/0.85 thf(zip_derived_cl50, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (in_environment @ X0 @ (sk2 @ X0))
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl49])).
% 1.32/0.85 thf(zip_derived_cl55, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | (greater @
% 1.32/0.85 (cardinality_at_time @ efficient_producers @ (sk2 @ X0)) @ zero))),
% 1.32/0.85 inference('clc', [status(thm)], [zip_derived_cl35, zip_derived_cl50])).
% 1.32/0.85 thf(zip_derived_cl177, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (environment @ X1)
% 1.32/0.85 | ~ (in_environment @ X1 @ (sk2 @ X0))
% 1.32/0.85 | (subpopulations @ first_movers @ efficient_producers @ X1 @
% 1.32/0.85 (sk2 @ X0))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('clc', [status(thm)], [zip_derived_cl168, zip_derived_cl55])).
% 1.32/0.85 thf(zip_derived_cl178, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | (subpopulations @ first_movers @ efficient_producers @ X0 @
% 1.32/0.85 (sk2 @ X0))
% 1.32/0.85 | ~ (environment @ X0))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl177])).
% 1.32/0.85 thf(zip_derived_cl179, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (subpopulations @ first_movers @ efficient_producers @ X0 @
% 1.32/0.85 (sk2 @ X0))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl178])).
% 1.32/0.85 thf(zip_derived_cl12, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 1.32/0.85 | ~ (greater_or_equal @ X1 @ (sk2 @ X0))
% 1.32/0.85 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 1.32/0.85 inference('cnf', [status(esa)], [l10_36])).
% 1.32/0.85 thf(zip_derived_cl180, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ X0)))
% 1.32/0.85 | ~ (greater_or_equal @ (sk2 @ X0) @ (sk2 @ X0))
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl179, zip_derived_cl12])).
% 1.32/0.85 thf(mp_greater_or_equal_33, axiom,
% 1.32/0.85 (( ( A ) != ( B ) ) | ( greater_or_equal @ A @ B ))).
% 1.32/0.85 thf(zip_derived_cl9, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | (greater_or_equal @ X1 @ X0))),
% 1.32/0.85 inference('cnf', [status(esa)], [mp_greater_or_equal_33])).
% 1.32/0.85 thf(zip_derived_cl16, plain, (![X0 : $i]: (greater_or_equal @ X0 @ X0)),
% 1.32/0.85 inference('eq_res', [status(thm)], [zip_derived_cl9])).
% 1.32/0.85 thf(zip_derived_cl181, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ X0)))
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0))),
% 1.32/0.85 inference('demod', [status(thm)], [zip_derived_cl180, zip_derived_cl16])).
% 1.32/0.85 thf(zip_derived_cl182, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ X0)))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl181])).
% 1.32/0.85 thf(zip_derived_cl151, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ((sk1 @ (sk2 @ X0) @ X0) = (sk2 @ X0))
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('clc', [status(thm)], [zip_derived_cl150, zip_derived_cl50])).
% 1.32/0.85 thf(zip_derived_cl2, plain,
% 1.32/0.85 (![X0 : $i, X1 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (in_environment @ X0 @ X1)
% 1.32/0.85 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ X1 @ X0)))
% 1.32/0.85 | (contracts_from @ X1 @ first_movers))),
% 1.32/0.85 inference('cnf', [status(esa)], [mp_contracts_from_26])).
% 1.32/0.85 thf(zip_derived_cl152, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ X0)))
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (in_environment @ X0 @ (sk2 @ X0))
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl2])).
% 1.32/0.85 thf(zip_derived_cl158, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (in_environment @ X0 @ (sk2 @ X0))
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ X0))))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl152])).
% 1.32/0.85 thf(zip_derived_cl50, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 ( (in_environment @ X0 @ (sk2 @ X0))
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0))),
% 1.32/0.85 inference('simplify', [status(thm)], [zip_derived_cl49])).
% 1.32/0.85 thf(zip_derived_cl164, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (greater @ zero @ (growth_rate @ first_movers @ (sk2 @ X0)))
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers))),
% 1.32/0.85 inference('clc', [status(thm)], [zip_derived_cl158, zip_derived_cl50])).
% 1.32/0.85 thf(zip_derived_cl183, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (stable @ X0)
% 1.32/0.85 | ~ (environment @ X0)
% 1.32/0.85 | (contracts_from @ (sk2 @ X0) @ first_movers))),
% 1.32/0.85 inference('clc', [status(thm)], [zip_derived_cl182, zip_derived_cl164])).
% 1.32/0.85 thf(zip_derived_cl11, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (environment @ X0)
% 1.32/0.85 | ~ (stable @ X0)
% 1.32/0.85 | (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0)))),
% 1.32/0.85 inference('cnf', [status(esa)], [l10_35])).
% 1.32/0.85 thf(prove_l9_39, conjecture,
% 1.32/0.85 (~( ( ~( contracts_from @ A @ first_movers ) ) |
% 1.32/0.85 ( ~( greater @ A @ ( appear @ efficient_producers @ sk3 ) ) ) ))).
% 1.32/0.85 thf(zf_stmt_0, negated_conjecture,
% 1.32/0.85 (( ~( contracts_from @ A @ first_movers ) ) |
% 1.32/0.85 ( ~( greater @ A @ ( appear @ efficient_producers @ sk3 ) ) )),
% 1.32/0.85 inference('cnf.neg', [status(esa)], [prove_l9_39])).
% 1.32/0.85 thf(zip_derived_cl15, plain,
% 1.32/0.85 (![X0 : $i]:
% 1.32/0.85 (~ (contracts_from @ X0 @ first_movers)
% 1.32/0.85 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk3)))),
% 1.32/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.32/0.85 thf(zip_derived_cl21, plain,
% 1.32/0.85 ((~ (stable @ sk3)
% 1.32/0.85 | ~ (environment @ sk3)
% 1.32/0.85 | ~ (contracts_from @ (sk2 @ sk3) @ first_movers))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl15])).
% 1.32/0.85 thf(prove_l9_38, conjecture, (~( stable @ sk3 ))).
% 1.32/0.85 thf(zf_stmt_1, negated_conjecture, (stable @ sk3),
% 1.32/0.85 inference('cnf.neg', [status(esa)], [prove_l9_38])).
% 1.32/0.85 thf(zip_derived_cl14, plain, ( (stable @ sk3)),
% 1.32/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.32/0.85 thf(prove_l9_37, conjecture, (~( environment @ sk3 ))).
% 1.32/0.85 thf(zf_stmt_2, negated_conjecture, (environment @ sk3),
% 1.32/0.85 inference('cnf.neg', [status(esa)], [prove_l9_37])).
% 1.32/0.85 thf(zip_derived_cl13, plain, ( (environment @ sk3)),
% 1.32/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.32/0.85 thf(zip_derived_cl22, plain,
% 1.32/0.85 (~ (contracts_from @ (sk2 @ sk3) @ first_movers)),
% 1.32/0.85 inference('demod', [status(thm)],
% 1.32/0.85 [zip_derived_cl21, zip_derived_cl14, zip_derived_cl13])).
% 1.32/0.85 thf(zip_derived_cl184, plain, ((~ (environment @ sk3) | ~ (stable @ sk3))),
% 1.32/0.85 inference('sup-', [status(thm)], [zip_derived_cl183, zip_derived_cl22])).
% 1.32/0.85 thf(zip_derived_cl13, plain, ( (environment @ sk3)),
% 1.32/0.85 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.32/0.85 thf(zip_derived_cl14, plain, ( (stable @ sk3)),
% 1.32/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.32/0.85 thf(zip_derived_cl185, plain, ($false),
% 1.32/0.85 inference('demod', [status(thm)],
% 1.32/0.85 [zip_derived_cl184, zip_derived_cl13, zip_derived_cl14])).
% 1.32/0.85
% 1.32/0.85 % SZS output end Refutation
% 1.32/0.85
% 1.32/0.85
% 1.32/0.85 % Terminating...
% 1.81/0.93 % Runner terminated.
% 1.81/0.94 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------