%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT027-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0Z1Fm6jRU1 true
% Computer : n014.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 0.50s 0.87s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT027-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0Z1Fm6jRU1 true
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 7 12:14:11 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Running portfolio for 300 s
% 0.10/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.12.3
% 0.15/0.37 % Running in FO mode
% 0.46/0.65 % Total configuration time : 435
% 0.46/0.65 % Estimated wc time : 1092
% 0.46/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.79 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.87 % Solved by fo/fo6_bce.sh.
% 0.50/0.87 % BCE start: 16
% 0.50/0.87 % BCE eliminated: 0
% 0.50/0.87 % PE start: 16
% 0.50/0.87 logic: eq
% 0.50/0.87 % PE eliminated: 4
% 0.50/0.87 % done 114 iterations in 0.111s
% 0.50/0.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.50/0.87 % SZS output start Refutation
% 0.50/0.87 thf(first_movers_type, type, first_movers: $i).
% 0.50/0.87 thf(zero_type, type, zero: $i).
% 0.50/0.87 thf(efficient_producers_type, type, efficient_producers: $i).
% 0.50/0.87 thf(sk2_type, type, sk2: $i > $i).
% 0.50/0.87 thf(subpopulations_type, type, subpopulations: $i > $i > $i > $i > $o).
% 0.50/0.87 thf(in_environment_type, type, in_environment: $i > $i > $o).
% 0.50/0.87 thf(greater_or_equal_type, type, greater_or_equal: $i > $i > $o).
% 0.50/0.87 thf(contracts_from_type, type, contracts_from: $i > $i > $o).
% 0.50/0.87 thf(environment_type, type, environment: $i > $o).
% 0.50/0.87 thf(sk3_type, type, sk3: $i).
% 0.50/0.87 thf(cardinality_at_time_type, type, cardinality_at_time: $i > $i > $i).
% 0.50/0.87 thf(stable_type, type, stable: $i > $o).
% 0.50/0.87 thf(growth_rate_type, type, growth_rate: $i > $i > $i).
% 0.50/0.87 thf(appear_type, type, appear: $i > $i > $i).
% 0.50/0.87 thf(sk1_type, type, sk1: $i > $i > $i).
% 0.50/0.87 thf(greater_type, type, greater: $i > $i > $o).
% 0.50/0.87 thf(prove_l9_38, conjecture, (~( stable @ sk3 ))).
% 0.50/0.87 thf(zf_stmt_0, negated_conjecture, (stable @ sk3),
% 0.50/0.87 inference('cnf.neg', [status(esa)], [prove_l9_38])).
% 0.50/0.87 thf(zip_derived_cl14, plain, ( (stable @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.87 thf(mp_greater_or_equal_33, axiom,
% 0.50/0.87 (( ( A ) != ( B ) ) | ( greater_or_equal @ A @ B ))).
% 0.50/0.87 thf(zip_derived_cl9, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | (greater_or_equal @ X1 @ X0))),
% 0.50/0.87 inference('cnf', [status(esa)], [mp_greater_or_equal_33])).
% 0.50/0.87 thf(mp_non_empty_fm_and_ep_27, axiom,
% 0.50/0.87 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.50/0.87 ( ~( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero ) ) |
% 0.50/0.87 ( ~( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) ) |
% 0.50/0.87 ( subpopulations @ first_movers @ efficient_producers @ A @ B ))).
% 0.50/0.87 thf(zip_derived_cl3, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (~ (environment @ X0)
% 0.50/0.87 | ~ (in_environment @ X0 @ X1)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X1) @
% 0.50/0.87 zero)
% 0.50/0.87 | (subpopulations @ first_movers @ efficient_producers @ X0 @ X1))),
% 0.50/0.87 inference('cnf', [status(esa)], [mp_non_empty_fm_and_ep_27])).
% 0.50/0.87 thf(l10_36, axiom,
% 0.50/0.87 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.50/0.87 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.50/0.87 ( ~( greater_or_equal @ B @ ( sk2 @ A ) ) ) |
% 0.50/0.87 ( greater @ zero @ ( growth_rate @ first_movers @ B ) ))).
% 0.50/0.87 thf(zip_derived_cl12, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (~ (environment @ X0)
% 0.50/0.87 | ~ (stable @ X0)
% 0.50/0.87 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.50/0.87 | ~ (greater_or_equal @ X1 @ (sk2 @ X0))
% 0.50/0.87 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 0.50/0.87 inference('cnf', [status(esa)], [l10_36])).
% 0.50/0.87 thf(zip_derived_cl126, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.50/0.87 (((first_movers) != (first_movers))
% 0.50/0.87 | ((efficient_producers) != (efficient_producers))
% 0.50/0.87 | ((X0) != (X2))
% 0.50/0.87 | ((X1) != (X3))
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X1) @
% 0.50/0.87 zero)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.50/0.87 | ~ (in_environment @ X0 @ X1)
% 0.50/0.87 | ~ (environment @ X0)
% 0.50/0.87 | (greater @ zero @ (growth_rate @ first_movers @ X3))
% 0.50/0.87 | ~ (greater_or_equal @ X3 @ (sk2 @ X2))
% 0.50/0.87 | ~ (stable @ X2)
% 0.50/0.87 | ~ (environment @ X2))),
% 0.50/0.87 inference('dp-resolution', [status(thm)],
% 0.50/0.87 [zip_derived_cl3, zip_derived_cl12])).
% 0.50/0.87 thf(zip_derived_cl140, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.50/0.87 (((X0) != (sk2 @ X1))
% 0.50/0.87 | ~ (environment @ X1)
% 0.50/0.87 | ~ (stable @ X1)
% 0.50/0.87 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.50/0.87 | ~ (environment @ X2)
% 0.50/0.87 | ~ (in_environment @ X2 @ X3)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ first_movers @ X3) @ zero)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X3) @
% 0.50/0.87 zero)
% 0.50/0.87 | ((X3) != (X0))
% 0.50/0.87 | ((X2) != (X1))
% 0.50/0.87 | ((efficient_producers) != (efficient_producers))
% 0.50/0.87 | ((first_movers) != (first_movers)))),
% 0.50/0.87 inference('dp-resolution', [status(thm)],
% 0.50/0.87 [zip_derived_cl9, zip_derived_cl126])).
% 0.50/0.87 thf(zip_derived_cl148, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.87 (((first_movers) != (first_movers))
% 0.50/0.87 | ((efficient_producers) != (efficient_producers))
% 0.50/0.87 | ((X1) != (sk3))
% 0.50/0.87 | ((X2) != (X0))
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X2) @
% 0.50/0.87 zero)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ first_movers @ X2) @ zero)
% 0.50/0.87 | ~ (in_environment @ X1 @ X2)
% 0.50/0.87 | ~ (environment @ X1)
% 0.50/0.87 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.50/0.87 | ~ (environment @ sk3)
% 0.50/0.87 | ((X0) != (sk2 @ sk3)))),
% 0.50/0.87 inference('dp-resolution', [status(thm)],
% 0.50/0.87 [zip_derived_cl14, zip_derived_cl140])).
% 0.50/0.87 thf(zip_derived_cl209, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.87 (((X0) != (sk2 @ sk3))
% 0.50/0.87 | ~ (environment @ sk3)
% 0.50/0.87 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.50/0.87 | ~ (environment @ X1)
% 0.50/0.87 | ~ (in_environment @ X1 @ X2)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ first_movers @ X2) @ zero)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X2) @
% 0.50/0.87 zero)
% 0.50/0.87 | ((X2) != (X0))
% 0.50/0.87 | ((X1) != (sk3)))),
% 0.50/0.87 inference('simplify', [status(thm)], [zip_derived_cl148])).
% 0.50/0.87 thf(prove_l9_37, conjecture, (~( environment @ sk3 ))).
% 0.50/0.87 thf(zf_stmt_1, negated_conjecture, (environment @ sk3),
% 0.50/0.87 inference('cnf.neg', [status(esa)], [prove_l9_37])).
% 0.50/0.87 thf(zip_derived_cl13, plain, ( (environment @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.87 thf(zip_derived_cl210, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.87 (((X0) != (sk2 @ sk3))
% 0.50/0.87 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.50/0.87 | ~ (environment @ X1)
% 0.50/0.87 | ~ (in_environment @ X1 @ X2)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ first_movers @ X2) @ zero)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X2) @
% 0.50/0.87 zero)
% 0.50/0.87 | ((X2) != (X0))
% 0.50/0.87 | ((X1) != (sk3)))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl211, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (((X0) != (sk3))
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X1) @
% 0.50/0.87 zero)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.50/0.87 | ~ (in_environment @ X0 @ X1)
% 0.50/0.87 | ~ (environment @ X0)
% 0.50/0.87 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 0.50/0.87 | ((X1) != (sk2 @ sk3)))),
% 0.50/0.87 inference('eq_res', [status(thm)], [zip_derived_cl210])).
% 0.50/0.87 thf(zip_derived_cl239, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 (((X0) != (sk2 @ sk3))
% 0.50/0.87 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.50/0.87 | ~ (environment @ sk3)
% 0.50/0.87 | ~ (in_environment @ sk3 @ X0)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ first_movers @ X0) @ zero)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X0) @
% 0.50/0.87 zero))),
% 0.50/0.87 inference('eq_res', [status(thm)], [zip_derived_cl211])).
% 0.50/0.87 thf(zip_derived_cl13, plain, ( (environment @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.87 thf(zip_derived_cl240, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 (((X0) != (sk2 @ sk3))
% 0.50/0.87 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.50/0.87 | ~ (in_environment @ sk3 @ X0)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ first_movers @ X0) @ zero)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X0) @
% 0.50/0.87 zero))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl239, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl14, plain, ( (stable @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.87 thf(l10_35, axiom,
% 0.50/0.87 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.50/0.87 ( greater @ ( sk2 @ A ) @ ( appear @ efficient_producers @ A ) ))).
% 0.50/0.87 thf(zip_derived_cl11, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 (~ (environment @ X0)
% 0.50/0.87 | ~ (stable @ X0)
% 0.50/0.87 | (greater @ (sk2 @ X0) @ (appear @ efficient_producers @ X0)))),
% 0.50/0.87 inference('cnf', [status(esa)], [l10_35])).
% 0.50/0.87 thf(zip_derived_cl143, plain,
% 0.50/0.87 (( (greater @ (sk2 @ sk3) @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | ~ (environment @ sk3))),
% 0.50/0.87 inference('dp-resolution', [status(thm)],
% 0.50/0.87 [zip_derived_cl14, zip_derived_cl11])).
% 0.50/0.87 thf(zip_derived_cl13, plain, ( (environment @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.87 thf(zip_derived_cl152, plain,
% 0.50/0.87 ( (greater @ (sk2 @ sk3) @ (appear @ efficient_producers @ sk3))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl143, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl14, plain, ( (stable @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.87 thf(mp_contracts_from_26, axiom,
% 0.50/0.87 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.50/0.87 ( ~( in_environment @ A @ B ) ) |
% 0.50/0.87 ( ~( greater @ zero @ ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) ) ) |
% 0.50/0.87 ( contracts_from @ B @ first_movers ))).
% 0.50/0.87 thf(zip_derived_cl2, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (~ (environment @ X0)
% 0.50/0.87 | ~ (stable @ X0)
% 0.50/0.87 | ~ (in_environment @ X0 @ X1)
% 0.50/0.87 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ X1 @ X0)))
% 0.50/0.87 | (contracts_from @ X1 @ first_movers))),
% 0.50/0.87 inference('cnf', [status(esa)], [mp_contracts_from_26])).
% 0.50/0.87 thf(prove_l9_39, conjecture,
% 0.50/0.87 (~( ( ~( contracts_from @ A @ first_movers ) ) |
% 0.50/0.87 ( ~( greater @ A @ ( appear @ efficient_producers @ sk3 ) ) ) ))).
% 0.50/0.87 thf(zf_stmt_2, negated_conjecture,
% 0.50/0.87 (( ~( contracts_from @ A @ first_movers ) ) |
% 0.50/0.87 ( ~( greater @ A @ ( appear @ efficient_producers @ sk3 ) ) )),
% 0.50/0.87 inference('cnf.neg', [status(esa)], [prove_l9_39])).
% 0.50/0.87 thf(zip_derived_cl15, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 (~ (contracts_from @ X0 @ first_movers)
% 0.50/0.87 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.87 thf(zip_derived_cl135, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.87 (((X1) != (X2))
% 0.50/0.87 | ((first_movers) != (first_movers))
% 0.50/0.87 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ X1 @ X0)))
% 0.50/0.87 | ~ (in_environment @ X0 @ X1)
% 0.50/0.87 | ~ (stable @ X0)
% 0.50/0.87 | ~ (environment @ X0)
% 0.50/0.87 | ~ (greater @ X2 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('dp-resolution', [status(thm)],
% 0.50/0.87 [zip_derived_cl2, zip_derived_cl15])).
% 0.50/0.87 thf(zip_derived_cl145, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (~ (greater @ X1 @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | ~ (environment @ sk3)
% 0.50/0.87 | ~ (in_environment @ sk3 @ X0)
% 0.50/0.87 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ X0 @ sk3)))
% 0.50/0.87 | ((first_movers) != (first_movers))
% 0.50/0.87 | ((X0) != (X1)))),
% 0.50/0.87 inference('dp-resolution', [status(thm)],
% 0.50/0.87 [zip_derived_cl14, zip_derived_cl135])).
% 0.50/0.87 thf(zip_derived_cl174, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (((X0) != (X1))
% 0.50/0.87 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ X0 @ sk3)))
% 0.50/0.87 | ~ (in_environment @ sk3 @ X0)
% 0.50/0.87 | ~ (environment @ sk3)
% 0.50/0.87 | ~ (greater @ X1 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('simplify', [status(thm)], [zip_derived_cl145])).
% 0.50/0.87 thf(zip_derived_cl13, plain, ( (environment @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.87 thf(zip_derived_cl175, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (((X0) != (X1))
% 0.50/0.87 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ X0 @ sk3)))
% 0.50/0.87 | ~ (in_environment @ sk3 @ X0)
% 0.50/0.87 | ~ (greater @ X1 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl174, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl176, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 (~ (greater @ X0 @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | ~ (in_environment @ sk3 @ X0)
% 0.50/0.87 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ X0 @ sk3))))),
% 0.50/0.87 inference('eq_res', [status(thm)], [zip_derived_cl175])).
% 0.50/0.87 thf(zip_derived_cl14, plain, ( (stable @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.87 thf(mp_EP_in_stable_environments_29, axiom,
% 0.50/0.87 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.50/0.87 ( in_environment @ A @ ( appear @ efficient_producers @ A ) ))).
% 0.50/0.87 thf(zip_derived_cl5, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 (~ (environment @ X0)
% 0.50/0.87 | ~ (stable @ X0)
% 0.50/0.87 | (in_environment @ X0 @ (appear @ efficient_producers @ X0)))),
% 0.50/0.87 inference('cnf', [status(esa)], [mp_EP_in_stable_environments_29])).
% 0.50/0.87 thf(zip_derived_cl142, plain,
% 0.50/0.87 (( (in_environment @ sk3 @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | ~ (environment @ sk3))),
% 0.50/0.87 inference('dp-resolution', [status(thm)],
% 0.50/0.87 [zip_derived_cl14, zip_derived_cl5])).
% 0.50/0.87 thf(zip_derived_cl13, plain, ( (environment @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.87 thf(zip_derived_cl151, plain,
% 0.50/0.87 ( (in_environment @ sk3 @ (appear @ efficient_producers @ sk3))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl142, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl14, plain, ( (stable @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.87 thf(mp_long_stable_environments_28, axiom,
% 0.50/0.87 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.50/0.87 ( ~( in_environment @ A @ B ) ) | ( ~( greater @ C @ B ) ) |
% 0.50/0.87 ( in_environment @ A @ C ))).
% 0.50/0.87 thf(zip_derived_cl4, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.87 (~ (environment @ X0)
% 0.50/0.87 | ~ (stable @ X0)
% 0.50/0.87 | ~ (in_environment @ X0 @ X1)
% 0.50/0.87 | ~ (greater @ X2 @ X1)
% 0.50/0.87 | (in_environment @ X0 @ X2))),
% 0.50/0.87 inference('cnf', [status(esa)], [mp_long_stable_environments_28])).
% 0.50/0.87 thf(zip_derived_cl141, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 ( (in_environment @ sk3 @ X1)
% 0.50/0.87 | ~ (greater @ X1 @ X0)
% 0.50/0.87 | ~ (in_environment @ sk3 @ X0)
% 0.50/0.87 | ~ (environment @ sk3))),
% 0.50/0.87 inference('dp-resolution', [status(thm)],
% 0.50/0.87 [zip_derived_cl14, zip_derived_cl4])).
% 0.50/0.87 thf(zip_derived_cl13, plain, ( (environment @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.87 thf(zip_derived_cl162, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 ( (in_environment @ sk3 @ X1)
% 0.50/0.87 | ~ (greater @ X1 @ X0)
% 0.50/0.87 | ~ (in_environment @ sk3 @ X0))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl141, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl163, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 ( (in_environment @ sk3 @ X0)
% 0.50/0.87 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl162])).
% 0.50/0.87 thf(zip_derived_cl177, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 (~ (greater @ zero @ (growth_rate @ first_movers @ (sk1 @ X0 @ sk3)))
% 0.50/0.87 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('clc', [status(thm)], [zip_derived_cl176, zip_derived_cl163])).
% 0.50/0.87 thf(zip_derived_cl179, plain,
% 0.50/0.87 (~ (greater @ zero @
% 0.50/0.87 (growth_rate @ first_movers @ (sk1 @ (sk2 @ sk3) @ sk3)))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl177])).
% 0.50/0.87 thf(zip_derived_cl261, plain,
% 0.50/0.87 ((~ (greater @
% 0.50/0.87 (cardinality_at_time @ efficient_producers @
% 0.50/0.87 (sk1 @ (sk2 @ sk3) @ sk3)) @
% 0.50/0.87 zero)
% 0.50/0.87 | ~ (greater @
% 0.50/0.87 (cardinality_at_time @ first_movers @ (sk1 @ (sk2 @ sk3) @ sk3)) @
% 0.50/0.87 zero)
% 0.50/0.87 | ~ (in_environment @ sk3 @ (sk1 @ (sk2 @ sk3) @ sk3))
% 0.50/0.87 | ((sk1 @ (sk2 @ sk3) @ sk3) != (sk2 @ sk3)))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl240, zip_derived_cl179])).
% 0.50/0.87 thf(zip_derived_cl14, plain, ( (stable @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.87 thf(mp_contracts_from_24, axiom,
% 0.50/0.87 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.50/0.87 ( ~( in_environment @ A @ B ) ) |
% 0.50/0.87 ( greater @
% 0.50/0.87 ( cardinality_at_time @ first_movers @ ( sk1 @ B @ A ) ) @ zero ) |
% 0.50/0.87 ( contracts_from @ B @ first_movers ))).
% 0.50/0.87 thf(zip_derived_cl0, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (~ (environment @ X0)
% 0.50/0.87 | ~ (stable @ X0)
% 0.50/0.87 | ~ (in_environment @ X0 @ X1)
% 0.50/0.87 | (greater @
% 0.50/0.87 (cardinality_at_time @ first_movers @ (sk1 @ X1 @ X0)) @ zero)
% 0.50/0.87 | (contracts_from @ X1 @ first_movers))),
% 0.50/0.87 inference('cnf', [status(esa)], [mp_contracts_from_24])).
% 0.50/0.87 thf(zip_derived_cl15, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 (~ (contracts_from @ X0 @ first_movers)
% 0.50/0.87 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.87 thf(zip_derived_cl129, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.87 (((X1) != (X2))
% 0.50/0.87 | ((first_movers) != (first_movers))
% 0.50/0.87 | (greater @
% 0.50/0.87 (cardinality_at_time @ first_movers @ (sk1 @ X1 @ X0)) @ zero)
% 0.50/0.87 | ~ (in_environment @ X0 @ X1)
% 0.50/0.87 | ~ (stable @ X0)
% 0.50/0.87 | ~ (environment @ X0)
% 0.50/0.87 | ~ (greater @ X2 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('dp-resolution', [status(thm)],
% 0.50/0.87 [zip_derived_cl0, zip_derived_cl15])).
% 0.50/0.87 thf(zip_derived_cl144, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (~ (greater @ X1 @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | ~ (environment @ sk3)
% 0.50/0.87 | ~ (in_environment @ sk3 @ X0)
% 0.50/0.87 | (greater @
% 0.50/0.87 (cardinality_at_time @ first_movers @ (sk1 @ X0 @ sk3)) @ zero)
% 0.50/0.87 | ((first_movers) != (first_movers))
% 0.50/0.87 | ((X0) != (X1)))),
% 0.50/0.87 inference('dp-resolution', [status(thm)],
% 0.50/0.87 [zip_derived_cl14, zip_derived_cl129])).
% 0.50/0.87 thf(zip_derived_cl165, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (((X0) != (X1))
% 0.50/0.87 | (greater @
% 0.50/0.87 (cardinality_at_time @ first_movers @ (sk1 @ X0 @ sk3)) @ zero)
% 0.50/0.87 | ~ (in_environment @ sk3 @ X0)
% 0.50/0.87 | ~ (environment @ sk3)
% 0.50/0.87 | ~ (greater @ X1 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('simplify', [status(thm)], [zip_derived_cl144])).
% 0.50/0.87 thf(zip_derived_cl13, plain, ( (environment @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.87 thf(zip_derived_cl166, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (((X0) != (X1))
% 0.50/0.87 | (greater @
% 0.50/0.87 (cardinality_at_time @ first_movers @ (sk1 @ X0 @ sk3)) @ zero)
% 0.50/0.87 | ~ (in_environment @ sk3 @ X0)
% 0.50/0.87 | ~ (greater @ X1 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl165, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl167, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 (~ (greater @ X0 @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | ~ (in_environment @ sk3 @ X0)
% 0.50/0.87 | (greater @
% 0.50/0.87 (cardinality_at_time @ first_movers @ (sk1 @ X0 @ sk3)) @ zero))),
% 0.50/0.87 inference('eq_res', [status(thm)], [zip_derived_cl166])).
% 0.50/0.87 thf(zip_derived_cl163, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 ( (in_environment @ sk3 @ X0)
% 0.50/0.87 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl162])).
% 0.50/0.87 thf(zip_derived_cl180, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 ( (greater @
% 0.50/0.87 (cardinality_at_time @ first_movers @ (sk1 @ X0 @ sk3)) @ zero)
% 0.50/0.87 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('clc', [status(thm)], [zip_derived_cl167, zip_derived_cl163])).
% 0.50/0.87 thf(zip_derived_cl14, plain, ( (stable @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.87 thf(mp_contracts_from_25, axiom,
% 0.50/0.87 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.50/0.87 ( ~( in_environment @ A @ B ) ) |
% 0.50/0.87 ( greater_or_equal @ ( sk1 @ B @ A ) @ B ) |
% 0.50/0.87 ( contracts_from @ B @ first_movers ))).
% 0.50/0.87 thf(zip_derived_cl1, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (~ (environment @ X0)
% 0.50/0.87 | ~ (stable @ X0)
% 0.50/0.87 | ~ (in_environment @ X0 @ X1)
% 0.50/0.87 | (greater_or_equal @ (sk1 @ X1 @ X0) @ X1)
% 0.50/0.87 | (contracts_from @ X1 @ first_movers))),
% 0.50/0.87 inference('cnf', [status(esa)], [mp_contracts_from_25])).
% 0.50/0.87 thf(zip_derived_cl15, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 (~ (contracts_from @ X0 @ first_movers)
% 0.50/0.87 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.50/0.87 thf(zip_derived_cl132, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.87 (((X1) != (X2))
% 0.50/0.87 | ((first_movers) != (first_movers))
% 0.50/0.87 | (greater_or_equal @ (sk1 @ X1 @ X0) @ X1)
% 0.50/0.87 | ~ (in_environment @ X0 @ X1)
% 0.50/0.87 | ~ (stable @ X0)
% 0.50/0.87 | ~ (environment @ X0)
% 0.50/0.87 | ~ (greater @ X2 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('dp-resolution', [status(thm)],
% 0.50/0.87 [zip_derived_cl1, zip_derived_cl15])).
% 0.50/0.87 thf(mp_greater_or_equal_31, axiom,
% 0.50/0.87 (( ~( greater_or_equal @ A @ B ) ) | ( greater @ A @ B ) |
% 0.50/0.87 ( ( A ) = ( B ) ))).
% 0.50/0.87 thf(zip_derived_cl7, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (~ (greater_or_equal @ X0 @ X1) | (greater @ X0 @ X1) | ((X0) = (X1)))),
% 0.50/0.87 inference('cnf', [status(esa)], [mp_greater_or_equal_31])).
% 0.50/0.87 thf(zip_derived_cl136, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.87 (~ (greater @ X1 @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | ~ (environment @ X2)
% 0.50/0.87 | ~ (stable @ X2)
% 0.50/0.87 | ~ (in_environment @ X2 @ X0)
% 0.50/0.87 | ((first_movers) != (first_movers))
% 0.50/0.87 | ((X0) != (X1))
% 0.50/0.87 | ((sk1 @ X0 @ X2) = (X0))
% 0.50/0.87 | (greater @ (sk1 @ X0 @ X2) @ X0))),
% 0.50/0.87 inference('dp-resolution', [status(thm)],
% 0.50/0.87 [zip_derived_cl132, zip_derived_cl7])).
% 0.50/0.87 thf(zip_derived_cl146, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 ( (greater @ (sk1 @ X1 @ sk3) @ X1)
% 0.50/0.87 | ((sk1 @ X1 @ sk3) = (X1))
% 0.50/0.87 | ((X1) != (X0))
% 0.50/0.87 | ((first_movers) != (first_movers))
% 0.50/0.87 | ~ (in_environment @ sk3 @ X1)
% 0.50/0.87 | ~ (environment @ sk3)
% 0.50/0.87 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('dp-resolution', [status(thm)],
% 0.50/0.87 [zip_derived_cl14, zip_derived_cl136])).
% 0.50/0.87 thf(zip_derived_cl183, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (~ (greater @ X0 @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | ~ (environment @ sk3)
% 0.50/0.87 | ~ (in_environment @ sk3 @ X1)
% 0.50/0.87 | ((X1) != (X0))
% 0.50/0.87 | ((sk1 @ X1 @ sk3) = (X1))
% 0.50/0.87 | (greater @ (sk1 @ X1 @ sk3) @ X1))),
% 0.50/0.87 inference('simplify', [status(thm)], [zip_derived_cl146])).
% 0.50/0.87 thf(zip_derived_cl13, plain, ( (environment @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.87 thf(zip_derived_cl184, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (~ (greater @ X0 @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | ~ (in_environment @ sk3 @ X1)
% 0.50/0.87 | ((X1) != (X0))
% 0.50/0.87 | ((sk1 @ X1 @ sk3) = (X1))
% 0.50/0.87 | (greater @ (sk1 @ X1 @ sk3) @ X1))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl183, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl185, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 ( (greater @ (sk1 @ X0 @ sk3) @ X0)
% 0.50/0.87 | ((sk1 @ X0 @ sk3) = (X0))
% 0.50/0.87 | ~ (in_environment @ sk3 @ X0)
% 0.50/0.87 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('eq_res', [status(thm)], [zip_derived_cl184])).
% 0.50/0.87 thf(zip_derived_cl163, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 ( (in_environment @ sk3 @ X0)
% 0.50/0.87 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl162])).
% 0.50/0.87 thf(zip_derived_cl194, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 (~ (greater @ X0 @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | ((sk1 @ X0 @ sk3) = (X0))
% 0.50/0.87 | (greater @ (sk1 @ X0 @ sk3) @ X0))),
% 0.50/0.87 inference('clc', [status(thm)], [zip_derived_cl185, zip_derived_cl163])).
% 0.50/0.87 thf(zip_derived_cl14, plain, ( (stable @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.50/0.87 thf(mp_greater_or_equal_32, axiom,
% 0.50/0.87 (( ~( greater @ A @ B ) ) | ( greater_or_equal @ A @ B ))).
% 0.50/0.87 thf(zip_derived_cl8, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 0.50/0.87 inference('cnf', [status(esa)], [mp_greater_or_equal_32])).
% 0.50/0.87 thf(zip_derived_cl126, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.50/0.87 (((first_movers) != (first_movers))
% 0.50/0.87 | ((efficient_producers) != (efficient_producers))
% 0.50/0.87 | ((X0) != (X2))
% 0.50/0.87 | ((X1) != (X3))
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X1) @
% 0.50/0.87 zero)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.50/0.87 | ~ (in_environment @ X0 @ X1)
% 0.50/0.87 | ~ (environment @ X0)
% 0.50/0.87 | (greater @ zero @ (growth_rate @ first_movers @ X3))
% 0.50/0.87 | ~ (greater_or_equal @ X3 @ (sk2 @ X2))
% 0.50/0.87 | ~ (stable @ X2)
% 0.50/0.87 | ~ (environment @ X2))),
% 0.50/0.87 inference('dp-resolution', [status(thm)],
% 0.50/0.87 [zip_derived_cl3, zip_derived_cl12])).
% 0.50/0.87 thf(zip_derived_cl138, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.50/0.87 (~ (greater @ X1 @ (sk2 @ X0))
% 0.50/0.87 | ~ (environment @ X0)
% 0.50/0.87 | ~ (stable @ X0)
% 0.50/0.87 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 0.50/0.87 | ~ (environment @ X2)
% 0.50/0.87 | ~ (in_environment @ X2 @ X3)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ first_movers @ X3) @ zero)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X3) @
% 0.50/0.87 zero)
% 0.50/0.87 | ((X3) != (X1))
% 0.50/0.87 | ((X2) != (X0))
% 0.50/0.87 | ((efficient_producers) != (efficient_producers))
% 0.50/0.87 | ((first_movers) != (first_movers)))),
% 0.50/0.87 inference('dp-resolution', [status(thm)],
% 0.50/0.87 [zip_derived_cl8, zip_derived_cl126])).
% 0.50/0.87 thf(zip_derived_cl147, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.87 (((first_movers) != (first_movers))
% 0.50/0.87 | ((efficient_producers) != (efficient_producers))
% 0.50/0.87 | ((X1) != (sk3))
% 0.50/0.87 | ((X2) != (X0))
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X2) @
% 0.50/0.87 zero)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ first_movers @ X2) @ zero)
% 0.50/0.87 | ~ (in_environment @ X1 @ X2)
% 0.50/0.87 | ~ (environment @ X1)
% 0.50/0.87 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.50/0.87 | ~ (environment @ sk3)
% 0.50/0.87 | ~ (greater @ X0 @ (sk2 @ sk3)))),
% 0.50/0.87 inference('dp-resolution', [status(thm)],
% 0.50/0.87 [zip_derived_cl14, zip_derived_cl138])).
% 0.50/0.87 thf(zip_derived_cl191, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.87 (~ (greater @ X0 @ (sk2 @ sk3))
% 0.50/0.87 | ~ (environment @ sk3)
% 0.50/0.87 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.50/0.87 | ~ (environment @ X1)
% 0.50/0.87 | ~ (in_environment @ X1 @ X2)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ first_movers @ X2) @ zero)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X2) @
% 0.50/0.87 zero)
% 0.50/0.87 | ((X2) != (X0))
% 0.50/0.87 | ((X1) != (sk3)))),
% 0.50/0.87 inference('simplify', [status(thm)], [zip_derived_cl147])).
% 0.50/0.87 thf(zip_derived_cl13, plain, ( (environment @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.87 thf(zip_derived_cl192, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.87 (~ (greater @ X0 @ (sk2 @ sk3))
% 0.50/0.87 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.50/0.87 | ~ (environment @ X1)
% 0.50/0.87 | ~ (in_environment @ X1 @ X2)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ first_movers @ X2) @ zero)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X2) @
% 0.50/0.87 zero)
% 0.50/0.87 | ((X2) != (X0))
% 0.50/0.87 | ((X1) != (sk3)))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl193, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (((X0) != (sk3))
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X1) @
% 0.50/0.87 zero)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.50/0.87 | ~ (in_environment @ X0 @ X1)
% 0.50/0.87 | ~ (environment @ X0)
% 0.50/0.87 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 0.50/0.87 | ~ (greater @ X1 @ (sk2 @ sk3)))),
% 0.50/0.87 inference('eq_res', [status(thm)], [zip_derived_cl192])).
% 0.50/0.87 thf(zip_derived_cl221, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 (~ (greater @ X0 @ (sk2 @ sk3))
% 0.50/0.87 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.50/0.87 | ~ (environment @ sk3)
% 0.50/0.87 | ~ (in_environment @ sk3 @ X0)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ first_movers @ X0) @ zero)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X0) @
% 0.50/0.87 zero))),
% 0.50/0.87 inference('eq_res', [status(thm)], [zip_derived_cl193])).
% 0.50/0.87 thf(zip_derived_cl13, plain, ( (environment @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.87 thf(zip_derived_cl222, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 (~ (greater @ X0 @ (sk2 @ sk3))
% 0.50/0.87 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.50/0.87 | ~ (in_environment @ sk3 @ X0)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ first_movers @ X0) @ zero)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X0) @
% 0.50/0.87 zero))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl221, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl152, plain,
% 0.50/0.87 ( (greater @ (sk2 @ sk3) @ (appear @ efficient_producers @ sk3))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl143, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl163, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 ( (in_environment @ sk3 @ X0)
% 0.50/0.87 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl151, zip_derived_cl162])).
% 0.50/0.87 thf(zip_derived_cl169, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl163])).
% 0.50/0.87 thf(zip_derived_cl162, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 ( (in_environment @ sk3 @ X1)
% 0.50/0.87 | ~ (greater @ X1 @ X0)
% 0.50/0.87 | ~ (in_environment @ sk3 @ X0))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl141, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl171, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 ( (in_environment @ sk3 @ X0) | ~ (greater @ X0 @ (sk2 @ sk3)))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl169, zip_derived_cl162])).
% 0.50/0.87 thf(zip_derived_cl235, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 (~ (greater @ (cardinality_at_time @ efficient_producers @ X0) @ zero)
% 0.50/0.87 | ~ (greater @ (cardinality_at_time @ first_movers @ X0) @ zero)
% 0.50/0.87 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 0.50/0.87 | ~ (greater @ X0 @ (sk2 @ sk3)))),
% 0.50/0.87 inference('clc', [status(thm)], [zip_derived_cl222, zip_derived_cl171])).
% 0.50/0.87 thf(zip_derived_cl179, plain,
% 0.50/0.87 (~ (greater @ zero @
% 0.50/0.87 (growth_rate @ first_movers @ (sk1 @ (sk2 @ sk3) @ sk3)))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl177])).
% 0.50/0.87 thf(zip_derived_cl238, plain,
% 0.50/0.87 ((~ (greater @ (sk1 @ (sk2 @ sk3) @ sk3) @ (sk2 @ sk3))
% 0.50/0.87 | ~ (greater @
% 0.50/0.87 (cardinality_at_time @ first_movers @ (sk1 @ (sk2 @ sk3) @ sk3)) @
% 0.50/0.87 zero)
% 0.50/0.87 | ~ (greater @
% 0.50/0.87 (cardinality_at_time @ efficient_producers @
% 0.50/0.87 (sk1 @ (sk2 @ sk3) @ sk3)) @
% 0.50/0.87 zero))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl179])).
% 0.50/0.87 thf(zip_derived_cl241, plain,
% 0.50/0.87 ((((sk1 @ (sk2 @ sk3) @ sk3) = (sk2 @ sk3))
% 0.50/0.87 | ~ (greater @ (sk2 @ sk3) @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | ~ (greater @
% 0.50/0.87 (cardinality_at_time @ first_movers @ (sk1 @ (sk2 @ sk3) @ sk3)) @
% 0.50/0.87 zero)
% 0.50/0.87 | ~ (greater @
% 0.50/0.87 (cardinality_at_time @ efficient_producers @
% 0.50/0.87 (sk1 @ (sk2 @ sk3) @ sk3)) @
% 0.50/0.87 zero))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl194, zip_derived_cl238])).
% 0.50/0.87 thf(zip_derived_cl152, plain,
% 0.50/0.87 ( (greater @ (sk2 @ sk3) @ (appear @ efficient_producers @ sk3))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl143, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl243, plain,
% 0.50/0.87 ((((sk1 @ (sk2 @ sk3) @ sk3) = (sk2 @ sk3))
% 0.50/0.87 | ~ (greater @
% 0.50/0.87 (cardinality_at_time @ first_movers @ (sk1 @ (sk2 @ sk3) @ sk3)) @
% 0.50/0.87 zero)
% 0.50/0.87 | ~ (greater @
% 0.50/0.87 (cardinality_at_time @ efficient_producers @
% 0.50/0.87 (sk1 @ (sk2 @ sk3) @ sk3)) @
% 0.50/0.87 zero))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl241, zip_derived_cl152])).
% 0.50/0.87 thf(zip_derived_cl194, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 (~ (greater @ X0 @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | ((sk1 @ X0 @ sk3) = (X0))
% 0.50/0.87 | (greater @ (sk1 @ X0 @ sk3) @ X0))),
% 0.50/0.87 inference('clc', [status(thm)], [zip_derived_cl185, zip_derived_cl163])).
% 0.50/0.87 thf(zip_derived_cl171, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 ( (in_environment @ sk3 @ X0) | ~ (greater @ X0 @ (sk2 @ sk3)))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl169, zip_derived_cl162])).
% 0.50/0.87 thf(zip_derived_cl199, plain,
% 0.50/0.87 ((((sk1 @ (sk2 @ sk3) @ sk3) = (sk2 @ sk3))
% 0.50/0.87 | ~ (greater @ (sk2 @ sk3) @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | (in_environment @ sk3 @ (sk1 @ (sk2 @ sk3) @ sk3)))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl194, zip_derived_cl171])).
% 0.50/0.87 thf(zip_derived_cl152, plain,
% 0.50/0.87 ( (greater @ (sk2 @ sk3) @ (appear @ efficient_producers @ sk3))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl143, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl200, plain,
% 0.50/0.87 ((((sk1 @ (sk2 @ sk3) @ sk3) = (sk2 @ sk3))
% 0.50/0.87 | (in_environment @ sk3 @ (sk1 @ (sk2 @ sk3) @ sk3)))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl199, zip_derived_cl152])).
% 0.50/0.87 thf(zip_derived_cl194, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 (~ (greater @ X0 @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | ((sk1 @ X0 @ sk3) = (X0))
% 0.50/0.87 | (greater @ (sk1 @ X0 @ sk3) @ X0))),
% 0.50/0.87 inference('clc', [status(thm)], [zip_derived_cl185, zip_derived_cl163])).
% 0.50/0.87 thf(mp_greater_transitivity_30, axiom,
% 0.50/0.87 (( ~( greater @ A @ B ) ) | ( ~( greater @ B @ C ) ) | ( greater @ A @ C ))).
% 0.50/0.87 thf(zip_derived_cl6, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.50/0.87 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 0.50/0.87 inference('cnf', [status(esa)], [mp_greater_transitivity_30])).
% 0.50/0.87 thf(zip_derived_cl195, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (((sk1 @ X0 @ sk3) = (X0))
% 0.50/0.87 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | ~ (greater @ X0 @ X1)
% 0.50/0.87 | (greater @ (sk1 @ X0 @ sk3) @ X1))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl194, zip_derived_cl6])).
% 0.50/0.87 thf(zip_derived_cl8, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 0.50/0.87 inference('cnf', [status(esa)], [mp_greater_or_equal_32])).
% 0.50/0.87 thf(t6_34, axiom,
% 0.50/0.87 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.50/0.87 ( ~( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) ) ) |
% 0.50/0.87 ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ))).
% 0.50/0.87 thf(zip_derived_cl10, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (~ (environment @ X0)
% 0.50/0.87 | ~ (in_environment @ X0 @ X1)
% 0.50/0.87 | ~ (greater_or_equal @ X1 @ (appear @ efficient_producers @ X0))
% 0.50/0.87 | (greater @ (cardinality_at_time @ efficient_producers @ X1) @ zero))),
% 0.50/0.87 inference('cnf', [status(esa)], [t6_34])).
% 0.50/0.87 thf(zip_derived_cl137, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (~ (greater @ X1 @ (appear @ efficient_producers @ X0))
% 0.50/0.87 | (greater @ (cardinality_at_time @ efficient_producers @ X1) @ zero)
% 0.50/0.87 | ~ (in_environment @ X0 @ X1)
% 0.50/0.87 | ~ (environment @ X0))),
% 0.50/0.87 inference('dp-resolution', [status(thm)],
% 0.50/0.87 [zip_derived_cl8, zip_derived_cl10])).
% 0.50/0.87 thf(zip_derived_cl204, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (~ (greater @ X1 @ (appear @ efficient_producers @ X0))
% 0.50/0.87 | ~ (greater @ X1 @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | ((sk1 @ X1 @ sk3) = (X1))
% 0.50/0.87 | (greater @
% 0.50/0.87 (cardinality_at_time @ efficient_producers @ (sk1 @ X1 @ sk3)) @
% 0.50/0.87 zero)
% 0.50/0.87 | ~ (in_environment @ X0 @ (sk1 @ X1 @ sk3))
% 0.50/0.87 | ~ (environment @ X0))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl195, zip_derived_cl137])).
% 0.50/0.87 thf(zip_derived_cl255, plain,
% 0.50/0.87 ((((sk1 @ (sk2 @ sk3) @ sk3) = (sk2 @ sk3))
% 0.50/0.87 | ~ (greater @ (sk2 @ sk3) @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | ~ (greater @ (sk2 @ sk3) @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | ((sk1 @ (sk2 @ sk3) @ sk3) = (sk2 @ sk3))
% 0.50/0.87 | (greater @
% 0.50/0.87 (cardinality_at_time @ efficient_producers @
% 0.50/0.87 (sk1 @ (sk2 @ sk3) @ sk3)) @
% 0.50/0.87 zero)
% 0.50/0.87 | ~ (environment @ sk3))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl200, zip_derived_cl204])).
% 0.50/0.87 thf(zip_derived_cl152, plain,
% 0.50/0.87 ( (greater @ (sk2 @ sk3) @ (appear @ efficient_producers @ sk3))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl143, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl152, plain,
% 0.50/0.87 ( (greater @ (sk2 @ sk3) @ (appear @ efficient_producers @ sk3))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl143, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl13, plain, ( (environment @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.87 thf(zip_derived_cl256, plain,
% 0.50/0.87 ((((sk1 @ (sk2 @ sk3) @ sk3) = (sk2 @ sk3))
% 0.50/0.87 | ((sk1 @ (sk2 @ sk3) @ sk3) = (sk2 @ sk3))
% 0.50/0.87 | (greater @
% 0.50/0.87 (cardinality_at_time @ efficient_producers @
% 0.50/0.87 (sk1 @ (sk2 @ sk3) @ sk3)) @
% 0.50/0.87 zero))),
% 0.50/0.87 inference('demod', [status(thm)],
% 0.50/0.87 [zip_derived_cl255, zip_derived_cl152, zip_derived_cl152,
% 0.50/0.87 zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl257, plain,
% 0.50/0.87 (( (greater @
% 0.50/0.87 (cardinality_at_time @ efficient_producers @
% 0.50/0.87 (sk1 @ (sk2 @ sk3) @ sk3)) @
% 0.50/0.87 zero)
% 0.50/0.87 | ((sk1 @ (sk2 @ sk3) @ sk3) = (sk2 @ sk3)))),
% 0.50/0.87 inference('simplify', [status(thm)], [zip_derived_cl256])).
% 0.50/0.87 thf(zip_derived_cl370, plain,
% 0.50/0.87 ((~ (greater @
% 0.50/0.87 (cardinality_at_time @ first_movers @ (sk1 @ (sk2 @ sk3) @ sk3)) @
% 0.50/0.87 zero)
% 0.50/0.87 | ((sk1 @ (sk2 @ sk3) @ sk3) = (sk2 @ sk3)))),
% 0.50/0.87 inference('clc', [status(thm)], [zip_derived_cl243, zip_derived_cl257])).
% 0.50/0.87 thf(zip_derived_cl372, plain,
% 0.50/0.87 ((~ (greater @ (sk2 @ sk3) @ (appear @ efficient_producers @ sk3))
% 0.50/0.87 | ((sk1 @ (sk2 @ sk3) @ sk3) = (sk2 @ sk3)))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl180, zip_derived_cl370])).
% 0.50/0.87 thf(zip_derived_cl152, plain,
% 0.50/0.87 ( (greater @ (sk2 @ sk3) @ (appear @ efficient_producers @ sk3))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl143, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl374, plain, (((sk1 @ (sk2 @ sk3) @ sk3) = (sk2 @ sk3))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl372, zip_derived_cl152])).
% 0.50/0.87 thf(zip_derived_cl152, plain,
% 0.50/0.87 ( (greater @ (sk2 @ sk3) @ (appear @ efficient_producers @ sk3))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl143, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl137, plain,
% 0.50/0.87 (![X0 : $i, X1 : $i]:
% 0.50/0.87 (~ (greater @ X1 @ (appear @ efficient_producers @ X0))
% 0.50/0.87 | (greater @ (cardinality_at_time @ efficient_producers @ X1) @ zero)
% 0.50/0.87 | ~ (in_environment @ X0 @ X1)
% 0.50/0.87 | ~ (environment @ X0))),
% 0.50/0.87 inference('dp-resolution', [status(thm)],
% 0.50/0.87 [zip_derived_cl8, zip_derived_cl10])).
% 0.50/0.87 thf(zip_derived_cl154, plain,
% 0.50/0.87 (( (greater @
% 0.50/0.87 (cardinality_at_time @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 0.50/0.87 | ~ (in_environment @ sk3 @ (sk2 @ sk3))
% 0.50/0.87 | ~ (environment @ sk3))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl137])).
% 0.50/0.87 thf(zip_derived_cl13, plain, ( (environment @ sk3)),
% 0.50/0.87 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.50/0.87 thf(zip_derived_cl155, plain,
% 0.50/0.87 (( (greater @
% 0.50/0.87 (cardinality_at_time @ efficient_producers @ (sk2 @ sk3)) @ zero)
% 0.50/0.87 | ~ (in_environment @ sk3 @ (sk2 @ sk3)))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl154, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl169, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl163])).
% 0.50/0.87 thf(zip_derived_cl170, plain,
% 0.50/0.87 ( (greater @ (cardinality_at_time @ efficient_producers @ (sk2 @ sk3)) @
% 0.50/0.87 zero)),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl155, zip_derived_cl169])).
% 0.50/0.87 thf(zip_derived_cl374, plain, (((sk1 @ (sk2 @ sk3) @ sk3) = (sk2 @ sk3))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl372, zip_derived_cl152])).
% 0.50/0.87 thf(zip_derived_cl374, plain, (((sk1 @ (sk2 @ sk3) @ sk3) = (sk2 @ sk3))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl372, zip_derived_cl152])).
% 0.50/0.87 thf(zip_derived_cl169, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 0.50/0.87 inference('s_sup-', [status(thm)], [zip_derived_cl152, zip_derived_cl163])).
% 0.50/0.87 thf(zip_derived_cl374, plain, (((sk1 @ (sk2 @ sk3) @ sk3) = (sk2 @ sk3))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl372, zip_derived_cl152])).
% 0.50/0.87 thf(zip_derived_cl377, plain,
% 0.50/0.87 ((~ (greater @ (cardinality_at_time @ first_movers @ (sk2 @ sk3)) @ zero)
% 0.50/0.87 | ((sk2 @ sk3) != (sk2 @ sk3)))),
% 0.50/0.87 inference('demod', [status(thm)],
% 0.50/0.87 [zip_derived_cl261, zip_derived_cl374, zip_derived_cl170,
% 0.50/0.87 zip_derived_cl374, zip_derived_cl374, zip_derived_cl169,
% 0.50/0.87 zip_derived_cl374])).
% 0.50/0.87 thf(zip_derived_cl378, plain,
% 0.50/0.87 (~ (greater @ (cardinality_at_time @ first_movers @ (sk2 @ sk3)) @ zero)),
% 0.50/0.87 inference('simplify', [status(thm)], [zip_derived_cl377])).
% 0.50/0.87 thf(zip_derived_cl374, plain, (((sk1 @ (sk2 @ sk3) @ sk3) = (sk2 @ sk3))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl372, zip_derived_cl152])).
% 0.50/0.87 thf(zip_derived_cl180, plain,
% 0.50/0.87 (![X0 : $i]:
% 0.50/0.87 ( (greater @
% 0.50/0.87 (cardinality_at_time @ first_movers @ (sk1 @ X0 @ sk3)) @ zero)
% 0.50/0.87 | ~ (greater @ X0 @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('clc', [status(thm)], [zip_derived_cl167, zip_derived_cl163])).
% 0.50/0.87 thf(zip_derived_cl379, plain,
% 0.50/0.87 (( (greater @ (cardinality_at_time @ first_movers @ (sk2 @ sk3)) @ zero)
% 0.50/0.87 | ~ (greater @ (sk2 @ sk3) @ (appear @ efficient_producers @ sk3)))),
% 0.50/0.87 inference('s_sup+', [status(thm)], [zip_derived_cl374, zip_derived_cl180])).
% 0.50/0.87 thf(zip_derived_cl152, plain,
% 0.50/0.87 ( (greater @ (sk2 @ sk3) @ (appear @ efficient_producers @ sk3))),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl143, zip_derived_cl13])).
% 0.50/0.87 thf(zip_derived_cl387, plain,
% 0.50/0.87 ( (greater @ (cardinality_at_time @ first_movers @ (sk2 @ sk3)) @ zero)),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl379, zip_derived_cl152])).
% 0.50/0.87 thf(zip_derived_cl412, plain, ($false),
% 0.50/0.87 inference('demod', [status(thm)], [zip_derived_cl378, zip_derived_cl387])).
% 0.50/0.87
% 0.50/0.87 % SZS output end Refutation
% 0.50/0.87
% 0.50/0.87
% 0.50/0.87 % Terminating...
% 0.50/0.90 % Runner terminated.
% 1.61/0.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------