TSTP Solution File: MGT026-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT026-1 : 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.eF6oIV2GHR true
% Computer : n001.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 0.21s 0.77s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT026-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eF6oIV2GHR true
% 0.14/0.35 % Computer : n001.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 06:48:34 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77 % Solved by fo/fo6_bce.sh.
% 0.21/0.77 % BCE start: 18
% 0.21/0.77 % BCE eliminated: 0
% 0.21/0.77 % PE start: 18
% 0.21/0.77 logic: eq
% 0.21/0.77 % PE eliminated: 5
% 0.21/0.77 % done 35 iterations in 0.025s
% 0.21/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.77 % SZS output start Refutation
% 0.21/0.77 thf(selection_favors_type, type, selection_favors: $i > $i > $i > $o).
% 0.21/0.77 thf(in_environment_type, type, in_environment: $i > $i > $o).
% 0.21/0.77 thf(first_movers_type, type, first_movers: $i).
% 0.21/0.77 thf(zero_type, type, zero: $i).
% 0.21/0.77 thf(critical_point_type, type, critical_point: $i > $i).
% 0.21/0.77 thf(growth_rate_type, type, growth_rate: $i > $i > $i).
% 0.21/0.77 thf(cardinality_at_time_type, type, cardinality_at_time: $i > $i > $i).
% 0.21/0.77 thf(environment_type, type, environment: $i > $o).
% 0.21/0.77 thf(subpopulation_type, type, subpopulation: $i > $i > $i > $o).
% 0.21/0.77 thf(efficient_producers_type, type, efficient_producers: $i).
% 0.21/0.77 thf(greater_or_equal_type, type, greater_or_equal: $i > $i > $o).
% 0.21/0.77 thf(sk2_type, type, sk2: $i).
% 0.21/0.77 thf(appear_type, type, appear: $i > $i > $i).
% 0.21/0.77 thf(subpopulations_type, type, subpopulations: $i > $i > $i > $i > $o).
% 0.21/0.77 thf(sk1_type, type, sk1: $i).
% 0.21/0.77 thf(greater_type, type, greater: $i > $i > $o).
% 0.21/0.77 thf(prove_l8_43, conjecture, (~( in_environment @ sk1 @ sk2 ))).
% 0.21/0.77 thf(zf_stmt_0, negated_conjecture, (in_environment @ sk1 @ sk2),
% 0.21/0.77 inference('cnf.neg', [status(esa)], [prove_l8_43])).
% 0.21/0.77 thf(zip_derived_cl15, plain, ( (in_environment @ sk1 @ sk2)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.77 thf(mp_subpopulations_33, axiom,
% 0.21/0.77 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.21/0.77 ( subpopulation @ efficient_producers @ A @ B ))).
% 0.21/0.77 thf(zip_derived_cl5, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i]:
% 0.21/0.77 (~ (environment @ X0)
% 0.21/0.77 | ~ (in_environment @ X0 @ X1)
% 0.21/0.77 | (subpopulation @ efficient_producers @ X0 @ X1))),
% 0.21/0.77 inference('cnf', [status(esa)], [mp_subpopulations_33])).
% 0.21/0.77 thf(zip_derived_cl129, plain,
% 0.21/0.77 (( (subpopulation @ efficient_producers @ sk1 @ sk2)
% 0.21/0.77 | ~ (environment @ sk1))),
% 0.21/0.77 inference('dp-resolution', [status(thm)],
% 0.21/0.77 [zip_derived_cl15, zip_derived_cl5])).
% 0.21/0.77 thf(prove_l8_42, conjecture, (~( environment @ sk1 ))).
% 0.21/0.77 thf(zf_stmt_1, negated_conjecture, (environment @ sk1),
% 0.21/0.77 inference('cnf.neg', [status(esa)], [prove_l8_42])).
% 0.21/0.77 thf(zip_derived_cl14, plain, ( (environment @ sk1)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.77 thf(zip_derived_cl140, plain,
% 0.21/0.77 ( (subpopulation @ efficient_producers @ sk1 @ sk2)),
% 0.21/0.77 inference('demod', [status(thm)], [zip_derived_cl129, zip_derived_cl14])).
% 0.21/0.77 thf(mp2_favour_members_29, axiom,
% 0.21/0.77 (( ~( environment @ A ) ) | ( ~( subpopulation @ B @ A @ C ) ) |
% 0.21/0.77 ( ~( subpopulation @ D @ A @ C ) ) |
% 0.21/0.77 ( ~( greater @ ( cardinality_at_time @ B @ C ) @ zero ) ) |
% 0.21/0.77 ( ( cardinality_at_time @ D @ C ) != ( zero ) ) |
% 0.21/0.77 ( selection_favors @ B @ D @ C ))).
% 0.21/0.77 thf(zip_derived_cl1, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.77 (~ (environment @ X0)
% 0.21/0.77 | ~ (subpopulation @ X1 @ X0 @ X2)
% 0.21/0.77 | ~ (subpopulation @ X3 @ X0 @ X2)
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ X1 @ X2) @ zero)
% 0.21/0.77 | ((cardinality_at_time @ X3 @ X2) != (zero))
% 0.21/0.77 | (selection_favors @ X1 @ X3 @ X2))),
% 0.21/0.77 inference('cnf', [status(esa)], [mp2_favour_members_29])).
% 0.21/0.77 thf(prove_l8_45, conjecture,
% 0.21/0.77 (selection_favors @ efficient_producers @ first_movers @ sk2)).
% 0.21/0.77 thf(zf_stmt_2, negated_conjecture,
% 0.21/0.77 (~( selection_favors @ efficient_producers @ first_movers @ sk2 )),
% 0.21/0.77 inference('cnf.neg', [status(esa)], [prove_l8_45])).
% 0.21/0.77 thf(zip_derived_cl17, plain,
% 0.21/0.77 (~ (selection_favors @ efficient_producers @ first_movers @ sk2)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.21/0.77 thf(zip_derived_cl117, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (((cardinality_at_time @ first_movers @ sk2) != (zero))
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ efficient_producers @ sk2) @
% 0.21/0.77 zero)
% 0.21/0.77 | ~ (subpopulation @ first_movers @ X0 @ sk2)
% 0.21/0.77 | ~ (subpopulation @ efficient_producers @ X0 @ sk2)
% 0.21/0.77 | ~ (environment @ X0))),
% 0.21/0.77 inference('dp-resolution', [status(thm)],
% 0.21/0.77 [zip_derived_cl1, zip_derived_cl17])).
% 0.21/0.77 thf(mp_critical_point_after_EP_34, axiom,
% 0.21/0.77 (( ~( environment @ A ) ) |
% 0.21/0.77 ( greater_or_equal @
% 0.21/0.77 ( critical_point @ A ) @ ( appear @ efficient_producers @ A ) ))).
% 0.21/0.77 thf(zip_derived_cl6, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (environment @ X0)
% 0.21/0.77 | (greater_or_equal @ (critical_point @ X0) @
% 0.21/0.77 (appear @ efficient_producers @ X0)))),
% 0.21/0.77 inference('cnf', [status(esa)], [mp_critical_point_after_EP_34])).
% 0.21/0.77 thf(mp_greater_or_equal_36, axiom,
% 0.21/0.77 (( ~( greater_or_equal @ A @ B ) ) | ( greater @ A @ B ) |
% 0.21/0.77 ( ( A ) = ( B ) ))).
% 0.21/0.77 thf(zip_derived_cl8, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i]:
% 0.21/0.77 (~ (greater_or_equal @ X0 @ X1) | (greater @ X0 @ X1) | ((X0) = (X1)))),
% 0.21/0.77 inference('cnf', [status(esa)], [mp_greater_or_equal_36])).
% 0.21/0.77 thf(zip_derived_cl125, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (environment @ X0)
% 0.21/0.77 | ((critical_point @ X0) = (appear @ efficient_producers @ X0))
% 0.21/0.77 | (greater @ (critical_point @ X0) @
% 0.21/0.77 (appear @ efficient_producers @ X0)))),
% 0.21/0.77 inference('dp-resolution', [status(thm)],
% 0.21/0.77 [zip_derived_cl6, zip_derived_cl8])).
% 0.21/0.77 thf(prove_l8_44, conjecture, (~( greater @ sk2 @ ( critical_point @ sk1 ) ))).
% 0.21/0.77 thf(zf_stmt_3, negated_conjecture,
% 0.21/0.77 (greater @ sk2 @ ( critical_point @ sk1 )),
% 0.21/0.77 inference('cnf.neg', [status(esa)], [prove_l8_44])).
% 0.21/0.77 thf(zip_derived_cl16, plain, ( (greater @ sk2 @ (critical_point @ sk1))),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.21/0.77 thf(mp_greater_transitivity_35, axiom,
% 0.21/0.77 (( ~( greater @ A @ B ) ) | ( ~( greater @ B @ C ) ) | ( greater @ A @ C ))).
% 0.21/0.77 thf(zip_derived_cl7, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 0.21/0.77 inference('cnf', [status(esa)], [mp_greater_transitivity_35])).
% 0.21/0.77 thf(zip_derived_cl139, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (greater @ (critical_point @ sk1) @ X0) | (greater @ sk2 @ X0))),
% 0.21/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl7])).
% 0.21/0.77 thf(zip_derived_cl146, plain,
% 0.21/0.77 ((((critical_point @ sk1) = (appear @ efficient_producers @ sk1))
% 0.21/0.77 | ~ (environment @ sk1)
% 0.21/0.77 | (greater @ sk2 @ (appear @ efficient_producers @ sk1)))),
% 0.21/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl139])).
% 0.21/0.77 thf(zip_derived_cl14, plain, ( (environment @ sk1)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.77 thf(zip_derived_cl147, plain,
% 0.21/0.77 ((((critical_point @ sk1) = (appear @ efficient_producers @ sk1))
% 0.21/0.77 | (greater @ sk2 @ (appear @ efficient_producers @ sk1)))),
% 0.21/0.77 inference('demod', [status(thm)], [zip_derived_cl146, zip_derived_cl14])).
% 0.21/0.77 thf(zip_derived_cl15, plain, ( (in_environment @ sk1 @ sk2)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.77 thf(mp_greater_or_equal_37, axiom,
% 0.21/0.77 (( ~( greater @ A @ B ) ) | ( greater_or_equal @ A @ B ))).
% 0.21/0.77 thf(zip_derived_cl9, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i]:
% 0.21/0.77 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 0.21/0.77 inference('cnf', [status(esa)], [mp_greater_or_equal_37])).
% 0.21/0.77 thf(t6_41, axiom,
% 0.21/0.77 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.21/0.77 ( ~( greater_or_equal @ B @ ( appear @ efficient_producers @ A ) ) ) |
% 0.21/0.77 ( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ))).
% 0.21/0.77 thf(zip_derived_cl13, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i]:
% 0.21/0.77 (~ (environment @ X0)
% 0.21/0.77 | ~ (in_environment @ X0 @ X1)
% 0.21/0.77 | ~ (greater_or_equal @ X1 @ (appear @ efficient_producers @ X0))
% 0.21/0.77 | (greater @ (cardinality_at_time @ efficient_producers @ X1) @ zero))),
% 0.21/0.77 inference('cnf', [status(esa)], [t6_41])).
% 0.21/0.77 thf(zip_derived_cl126, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i]:
% 0.21/0.77 (~ (greater @ X1 @ (appear @ efficient_producers @ X0))
% 0.21/0.77 | (greater @ (cardinality_at_time @ efficient_producers @ X1) @ zero)
% 0.21/0.77 | ~ (in_environment @ X0 @ X1)
% 0.21/0.77 | ~ (environment @ X0))),
% 0.21/0.77 inference('dp-resolution', [status(thm)],
% 0.21/0.77 [zip_derived_cl9, zip_derived_cl13])).
% 0.21/0.77 thf(zip_derived_cl133, plain,
% 0.21/0.77 ((~ (environment @ sk1)
% 0.21/0.77 | (greater @ (cardinality_at_time @ efficient_producers @ sk2) @ zero)
% 0.21/0.77 | ~ (greater @ sk2 @ (appear @ efficient_producers @ sk1)))),
% 0.21/0.77 inference('dp-resolution', [status(thm)],
% 0.21/0.77 [zip_derived_cl15, zip_derived_cl126])).
% 0.21/0.77 thf(zip_derived_cl14, plain, ( (environment @ sk1)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.77 thf(zip_derived_cl142, plain,
% 0.21/0.77 (( (greater @ (cardinality_at_time @ efficient_producers @ sk2) @ zero)
% 0.21/0.77 | ~ (greater @ sk2 @ (appear @ efficient_producers @ sk1)))),
% 0.21/0.77 inference('demod', [status(thm)], [zip_derived_cl133, zip_derived_cl14])).
% 0.21/0.77 thf(zip_derived_cl149, plain,
% 0.21/0.77 ((((critical_point @ sk1) = (appear @ efficient_producers @ sk1))
% 0.21/0.77 | (greater @ (cardinality_at_time @ efficient_producers @ sk2) @ zero))),
% 0.21/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl147, zip_derived_cl142])).
% 0.21/0.77 thf(zip_derived_cl142, plain,
% 0.21/0.77 (( (greater @ (cardinality_at_time @ efficient_producers @ sk2) @ zero)
% 0.21/0.77 | ~ (greater @ sk2 @ (appear @ efficient_producers @ sk1)))),
% 0.21/0.77 inference('demod', [status(thm)], [zip_derived_cl133, zip_derived_cl14])).
% 0.21/0.77 thf(zip_derived_cl152, plain,
% 0.21/0.77 (( (greater @ (cardinality_at_time @ efficient_producers @ sk2) @ zero)
% 0.21/0.77 | (greater @ (cardinality_at_time @ efficient_producers @ sk2) @ zero)
% 0.21/0.77 | ~ (greater @ sk2 @ (critical_point @ sk1)))),
% 0.21/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl149, zip_derived_cl142])).
% 0.21/0.77 thf(zip_derived_cl16, plain, ( (greater @ sk2 @ (critical_point @ sk1))),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.21/0.77 thf(zip_derived_cl156, plain,
% 0.21/0.77 (( (greater @ (cardinality_at_time @ efficient_producers @ sk2) @ zero)
% 0.21/0.77 | (greater @ (cardinality_at_time @ efficient_producers @ sk2) @ zero))),
% 0.21/0.77 inference('demod', [status(thm)], [zip_derived_cl152, zip_derived_cl16])).
% 0.21/0.77 thf(zip_derived_cl157, plain,
% 0.21/0.77 ( (greater @ (cardinality_at_time @ efficient_producers @ sk2) @ zero)),
% 0.21/0.77 inference('simplify', [status(thm)], [zip_derived_cl156])).
% 0.21/0.77 thf(zip_derived_cl159, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (((cardinality_at_time @ first_movers @ sk2) != (zero))
% 0.21/0.77 | ~ (subpopulation @ first_movers @ X0 @ sk2)
% 0.21/0.77 | ~ (subpopulation @ efficient_producers @ X0 @ sk2)
% 0.21/0.77 | ~ (environment @ X0))),
% 0.21/0.77 inference('demod', [status(thm)], [zip_derived_cl117, zip_derived_cl157])).
% 0.21/0.77 thf(zip_derived_cl15, plain, ( (in_environment @ sk1 @ sk2)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.77 thf(mp_first_movers_exist_31, axiom,
% 0.21/0.77 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.21/0.77 ( greater_or_equal @ ( cardinality_at_time @ first_movers @ B ) @ zero ))).
% 0.21/0.77 thf(zip_derived_cl3, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i]:
% 0.21/0.77 (~ (environment @ X0)
% 0.21/0.77 | ~ (in_environment @ X0 @ X1)
% 0.21/0.77 | (greater_or_equal @ (cardinality_at_time @ first_movers @ X1) @
% 0.21/0.77 zero))),
% 0.21/0.77 inference('cnf', [status(esa)], [mp_first_movers_exist_31])).
% 0.21/0.77 thf(zip_derived_cl8, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i]:
% 0.21/0.77 (~ (greater_or_equal @ X0 @ X1) | (greater @ X0 @ X1) | ((X0) = (X1)))),
% 0.21/0.77 inference('cnf', [status(esa)], [mp_greater_or_equal_36])).
% 0.21/0.77 thf(zip_derived_cl124, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i]:
% 0.21/0.77 (~ (in_environment @ X0 @ X1)
% 0.21/0.77 | ~ (environment @ X0)
% 0.21/0.77 | ((cardinality_at_time @ first_movers @ X1) = (zero))
% 0.21/0.77 | (greater @ (cardinality_at_time @ first_movers @ X1) @ zero))),
% 0.21/0.77 inference('dp-resolution', [status(thm)],
% 0.21/0.77 [zip_derived_cl3, zip_derived_cl8])).
% 0.21/0.77 thf(zip_derived_cl132, plain,
% 0.21/0.77 (( (greater @ (cardinality_at_time @ first_movers @ sk2) @ zero)
% 0.21/0.77 | ((cardinality_at_time @ first_movers @ sk2) = (zero))
% 0.21/0.77 | ~ (environment @ sk1))),
% 0.21/0.77 inference('dp-resolution', [status(thm)],
% 0.21/0.77 [zip_derived_cl15, zip_derived_cl124])).
% 0.21/0.77 thf(zip_derived_cl14, plain, ( (environment @ sk1)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.77 thf(zip_derived_cl143, plain,
% 0.21/0.77 (( (greater @ (cardinality_at_time @ first_movers @ sk2) @ zero)
% 0.21/0.77 | ((cardinality_at_time @ first_movers @ sk2) = (zero)))),
% 0.21/0.77 inference('demod', [status(thm)], [zip_derived_cl132, zip_derived_cl14])).
% 0.21/0.77 thf(zip_derived_cl15, plain, ( (in_environment @ sk1 @ sk2)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.77 thf(mp_non_empty_fm_and_ep_30, axiom,
% 0.21/0.77 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.21/0.77 ( ~( greater @ ( cardinality_at_time @ first_movers @ B ) @ zero ) ) |
% 0.21/0.77 ( ~( greater @ ( cardinality_at_time @ efficient_producers @ B ) @ zero ) ) |
% 0.21/0.77 ( subpopulations @ first_movers @ efficient_producers @ A @ B ))).
% 0.21/0.77 thf(zip_derived_cl2, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i]:
% 0.21/0.77 (~ (environment @ X0)
% 0.21/0.77 | ~ (in_environment @ X0 @ X1)
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X1) @
% 0.21/0.77 zero)
% 0.21/0.77 | (subpopulations @ first_movers @ efficient_producers @ X0 @ X1))),
% 0.21/0.77 inference('cnf', [status(esa)], [mp_non_empty_fm_and_ep_30])).
% 0.21/0.77 thf(d1_40, axiom,
% 0.21/0.77 (( ~( environment @ A ) ) | ( ( B ) != ( critical_point @ A ) ) |
% 0.21/0.77 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ C ) ) |
% 0.21/0.77 ( ~( greater @ C @ B ) ) |
% 0.21/0.77 ( greater @
% 0.21/0.77 ( growth_rate @ efficient_producers @ C ) @
% 0.21/0.77 ( growth_rate @ first_movers @ C ) ))).
% 0.21/0.77 thf(zip_derived_cl12, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 (~ (environment @ X0)
% 0.21/0.77 | ((X1) != (critical_point @ X0))
% 0.21/0.77 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X2)
% 0.21/0.77 | ~ (greater @ X2 @ X1)
% 0.21/0.77 | (greater @ (growth_rate @ efficient_producers @ X2) @
% 0.21/0.77 (growth_rate @ first_movers @ X2)))),
% 0.21/0.77 inference('cnf', [status(esa)], [d1_40])).
% 0.21/0.77 thf(zip_derived_cl120, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.21/0.77 (((first_movers) != (first_movers))
% 0.21/0.77 | ((efficient_producers) != (efficient_producers))
% 0.21/0.77 | ((X0) != (X2))
% 0.21/0.77 | ((X1) != (X4))
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X1) @
% 0.21/0.77 zero)
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.21/0.77 | ~ (in_environment @ X0 @ X1)
% 0.21/0.77 | ~ (environment @ X0)
% 0.21/0.77 | (greater @ (growth_rate @ efficient_producers @ X4) @
% 0.21/0.77 (growth_rate @ first_movers @ X4))
% 0.21/0.77 | ~ (greater @ X4 @ X3)
% 0.21/0.77 | ((X3) != (critical_point @ X2))
% 0.21/0.77 | ~ (environment @ X2))),
% 0.21/0.77 inference('dp-resolution', [status(thm)],
% 0.21/0.77 [zip_derived_cl2, zip_derived_cl12])).
% 0.21/0.77 thf(zip_derived_cl130, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 (~ (environment @ X0)
% 0.21/0.77 | ((X2) != (critical_point @ X0))
% 0.21/0.77 | ~ (greater @ X1 @ X2)
% 0.21/0.77 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.21/0.77 (growth_rate @ first_movers @ X1))
% 0.21/0.77 | ~ (environment @ sk1)
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ first_movers @ sk2) @ zero)
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ efficient_producers @ sk2) @
% 0.21/0.77 zero)
% 0.21/0.77 | ((sk2) != (X1))
% 0.21/0.77 | ((sk1) != (X0))
% 0.21/0.77 | ((efficient_producers) != (efficient_producers))
% 0.21/0.77 | ((first_movers) != (first_movers)))),
% 0.21/0.77 inference('dp-resolution', [status(thm)],
% 0.21/0.77 [zip_derived_cl15, zip_derived_cl120])).
% 0.21/0.77 thf(zip_derived_cl161, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 (((sk1) != (X0))
% 0.21/0.77 | ((sk2) != (X1))
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ efficient_producers @ sk2) @
% 0.21/0.77 zero)
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ first_movers @ sk2) @ zero)
% 0.21/0.77 | ~ (environment @ sk1)
% 0.21/0.77 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.21/0.77 (growth_rate @ first_movers @ X1))
% 0.21/0.77 | ~ (greater @ X1 @ X2)
% 0.21/0.77 | ((X2) != (critical_point @ X0))
% 0.21/0.77 | ~ (environment @ X0))),
% 0.21/0.77 inference('simplify', [status(thm)], [zip_derived_cl130])).
% 0.21/0.77 thf(zip_derived_cl157, plain,
% 0.21/0.77 ( (greater @ (cardinality_at_time @ efficient_producers @ sk2) @ zero)),
% 0.21/0.77 inference('simplify', [status(thm)], [zip_derived_cl156])).
% 0.21/0.77 thf(zip_derived_cl14, plain, ( (environment @ sk1)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.77 thf(zip_derived_cl162, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 (((sk1) != (X0))
% 0.21/0.77 | ((sk2) != (X1))
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ first_movers @ sk2) @ zero)
% 0.21/0.77 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.21/0.77 (growth_rate @ first_movers @ X1))
% 0.21/0.77 | ~ (greater @ X1 @ X2)
% 0.21/0.77 | ((X2) != (critical_point @ X0))
% 0.21/0.77 | ~ (environment @ X0))),
% 0.21/0.77 inference('demod', [status(thm)],
% 0.21/0.77 [zip_derived_cl161, zip_derived_cl157, zip_derived_cl14])).
% 0.21/0.77 thf(zip_derived_cl163, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 (((cardinality_at_time @ first_movers @ sk2) = (zero))
% 0.21/0.77 | ((sk1) != (X0))
% 0.21/0.77 | ((sk2) != (X1))
% 0.21/0.77 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.21/0.77 (growth_rate @ first_movers @ X1))
% 0.21/0.77 | ~ (greater @ X1 @ X2)
% 0.21/0.77 | ((X2) != (critical_point @ X0))
% 0.21/0.77 | ~ (environment @ X0))),
% 0.21/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl162])).
% 0.21/0.77 thf(zip_derived_cl171, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i]:
% 0.21/0.77 (~ (environment @ sk1)
% 0.21/0.77 | ((X0) != (critical_point @ sk1))
% 0.21/0.77 | ~ (greater @ X1 @ X0)
% 0.21/0.77 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.21/0.77 (growth_rate @ first_movers @ X1))
% 0.21/0.77 | ((sk2) != (X1))
% 0.21/0.77 | ((cardinality_at_time @ first_movers @ sk2) = (zero)))),
% 0.21/0.77 inference('eq_res', [status(thm)], [zip_derived_cl163])).
% 0.21/0.77 thf(zip_derived_cl14, plain, ( (environment @ sk1)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.77 thf(zip_derived_cl172, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i]:
% 0.21/0.77 (((X0) != (critical_point @ sk1))
% 0.21/0.77 | ~ (greater @ X1 @ X0)
% 0.21/0.77 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.21/0.77 (growth_rate @ first_movers @ X1))
% 0.21/0.77 | ((sk2) != (X1))
% 0.21/0.77 | ((cardinality_at_time @ first_movers @ sk2) = (zero)))),
% 0.21/0.77 inference('demod', [status(thm)], [zip_derived_cl171, zip_derived_cl14])).
% 0.21/0.77 thf(zip_derived_cl174, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (((cardinality_at_time @ first_movers @ sk2) = (zero))
% 0.21/0.77 | (greater @ (growth_rate @ efficient_producers @ sk2) @
% 0.21/0.77 (growth_rate @ first_movers @ sk2))
% 0.21/0.77 | ~ (greater @ sk2 @ X0)
% 0.21/0.77 | ((X0) != (critical_point @ sk1)))),
% 0.21/0.77 inference('eq_res', [status(thm)], [zip_derived_cl172])).
% 0.21/0.77 thf(zip_derived_cl175, plain,
% 0.21/0.77 ((~ (greater @ sk2 @ (critical_point @ sk1))
% 0.21/0.77 | (greater @ (growth_rate @ efficient_producers @ sk2) @
% 0.21/0.77 (growth_rate @ first_movers @ sk2))
% 0.21/0.77 | ((cardinality_at_time @ first_movers @ sk2) = (zero)))),
% 0.21/0.77 inference('eq_res', [status(thm)], [zip_derived_cl174])).
% 0.21/0.77 thf(zip_derived_cl16, plain, ( (greater @ sk2 @ (critical_point @ sk1))),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.21/0.77 thf(zip_derived_cl176, plain,
% 0.21/0.77 (( (greater @ (growth_rate @ efficient_producers @ sk2) @
% 0.21/0.77 (growth_rate @ first_movers @ sk2))
% 0.21/0.77 | ((cardinality_at_time @ first_movers @ sk2) = (zero)))),
% 0.21/0.77 inference('demod', [status(thm)], [zip_derived_cl175, zip_derived_cl16])).
% 0.21/0.77 thf(zip_derived_cl143, plain,
% 0.21/0.77 (( (greater @ (cardinality_at_time @ first_movers @ sk2) @ zero)
% 0.21/0.77 | ((cardinality_at_time @ first_movers @ sk2) = (zero)))),
% 0.21/0.77 inference('demod', [status(thm)], [zip_derived_cl132, zip_derived_cl14])).
% 0.21/0.77 thf(zip_derived_cl15, plain, ( (in_environment @ sk1 @ sk2)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.77 thf(zip_derived_cl2, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i]:
% 0.21/0.77 (~ (environment @ X0)
% 0.21/0.77 | ~ (in_environment @ X0 @ X1)
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X1) @
% 0.21/0.77 zero)
% 0.21/0.77 | (subpopulations @ first_movers @ efficient_producers @ X0 @ X1))),
% 0.21/0.77 inference('cnf', [status(esa)], [mp_non_empty_fm_and_ep_30])).
% 0.21/0.77 thf(mp1_high_growth_rates_28, axiom,
% 0.21/0.77 (( ~( environment @ A ) ) | ( ~( subpopulations @ B @ C @ A @ D ) ) |
% 0.21/0.77 ( ~( greater @ ( growth_rate @ C @ D ) @ ( growth_rate @ B @ D ) ) ) |
% 0.21/0.77 ( selection_favors @ C @ B @ D ))).
% 0.21/0.77 thf(zip_derived_cl0, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.21/0.77 (~ (environment @ X0)
% 0.21/0.77 | ~ (subpopulations @ X1 @ X2 @ X0 @ X3)
% 0.21/0.77 | ~ (greater @ (growth_rate @ X2 @ X3) @ (growth_rate @ X1 @ X3))
% 0.21/0.77 | (selection_favors @ X2 @ X1 @ X3))),
% 0.21/0.77 inference('cnf', [status(esa)], [mp1_high_growth_rates_28])).
% 0.21/0.77 thf(zip_derived_cl17, plain,
% 0.21/0.77 (~ (selection_favors @ efficient_producers @ first_movers @ sk2)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.21/0.77 thf(zip_derived_cl116, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (greater @ (growth_rate @ efficient_producers @ sk2) @
% 0.21/0.77 (growth_rate @ first_movers @ sk2))
% 0.21/0.77 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ sk2)
% 0.21/0.77 | ~ (environment @ X0))),
% 0.21/0.77 inference('dp-resolution', [status(thm)],
% 0.21/0.77 [zip_derived_cl0, zip_derived_cl17])).
% 0.21/0.77 thf(zip_derived_cl123, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77 (((first_movers) != (first_movers))
% 0.21/0.77 | ((efficient_producers) != (efficient_producers))
% 0.21/0.77 | ((X0) != (X2))
% 0.21/0.77 | ((X1) != (sk2))
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ efficient_producers @ X1) @
% 0.21/0.77 zero)
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ first_movers @ X1) @ zero)
% 0.21/0.77 | ~ (in_environment @ X0 @ X1)
% 0.21/0.77 | ~ (environment @ X0)
% 0.21/0.77 | ~ (environment @ X2)
% 0.21/0.77 | ~ (greater @ (growth_rate @ efficient_producers @ sk2) @
% 0.21/0.77 (growth_rate @ first_movers @ sk2)))),
% 0.21/0.77 inference('dp-resolution', [status(thm)],
% 0.21/0.77 [zip_derived_cl2, zip_derived_cl116])).
% 0.21/0.77 thf(zip_derived_cl131, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (greater @ (growth_rate @ efficient_producers @ sk2) @
% 0.21/0.77 (growth_rate @ first_movers @ sk2))
% 0.21/0.77 | ~ (environment @ X0)
% 0.21/0.77 | ~ (environment @ sk1)
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ first_movers @ sk2) @ zero)
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ efficient_producers @ sk2) @
% 0.21/0.77 zero)
% 0.21/0.77 | ((sk2) != (sk2))
% 0.21/0.77 | ((sk1) != (X0))
% 0.21/0.77 | ((efficient_producers) != (efficient_producers))
% 0.21/0.77 | ((first_movers) != (first_movers)))),
% 0.21/0.77 inference('dp-resolution', [status(thm)],
% 0.21/0.77 [zip_derived_cl15, zip_derived_cl123])).
% 0.21/0.77 thf(zip_derived_cl164, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (((sk1) != (X0))
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ efficient_producers @ sk2) @
% 0.21/0.77 zero)
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ first_movers @ sk2) @ zero)
% 0.21/0.77 | ~ (environment @ sk1)
% 0.21/0.77 | ~ (environment @ X0)
% 0.21/0.77 | ~ (greater @ (growth_rate @ efficient_producers @ sk2) @
% 0.21/0.77 (growth_rate @ first_movers @ sk2)))),
% 0.21/0.77 inference('simplify', [status(thm)], [zip_derived_cl131])).
% 0.21/0.77 thf(zip_derived_cl157, plain,
% 0.21/0.77 ( (greater @ (cardinality_at_time @ efficient_producers @ sk2) @ zero)),
% 0.21/0.77 inference('simplify', [status(thm)], [zip_derived_cl156])).
% 0.21/0.77 thf(zip_derived_cl14, plain, ( (environment @ sk1)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.77 thf(zip_derived_cl165, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (((sk1) != (X0))
% 0.21/0.77 | ~ (greater @ (cardinality_at_time @ first_movers @ sk2) @ zero)
% 0.21/0.77 | ~ (environment @ X0)
% 0.21/0.77 | ~ (greater @ (growth_rate @ efficient_producers @ sk2) @
% 0.21/0.77 (growth_rate @ first_movers @ sk2)))),
% 0.21/0.77 inference('demod', [status(thm)],
% 0.21/0.77 [zip_derived_cl164, zip_derived_cl157, zip_derived_cl14])).
% 0.21/0.77 thf(zip_derived_cl166, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (((cardinality_at_time @ first_movers @ sk2) = (zero))
% 0.21/0.77 | ((sk1) != (X0))
% 0.21/0.77 | ~ (environment @ X0)
% 0.21/0.77 | ~ (greater @ (growth_rate @ efficient_producers @ sk2) @
% 0.21/0.77 (growth_rate @ first_movers @ sk2)))),
% 0.21/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl143, zip_derived_cl165])).
% 0.21/0.77 thf(zip_derived_cl178, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (((cardinality_at_time @ first_movers @ sk2) = (zero))
% 0.21/0.77 | ((cardinality_at_time @ first_movers @ sk2) = (zero))
% 0.21/0.77 | ((sk1) != (X0))
% 0.21/0.77 | ~ (environment @ X0))),
% 0.21/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl176, zip_derived_cl166])).
% 0.21/0.77 thf(zip_derived_cl179, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (environment @ X0)
% 0.21/0.77 | ((sk1) != (X0))
% 0.21/0.77 | ((cardinality_at_time @ first_movers @ sk2) = (zero)))),
% 0.21/0.77 inference('simplify', [status(thm)], [zip_derived_cl178])).
% 0.21/0.77 thf(zip_derived_cl180, plain,
% 0.21/0.77 ((((cardinality_at_time @ first_movers @ sk2) = (zero))
% 0.21/0.77 | ~ (environment @ sk1))),
% 0.21/0.77 inference('eq_res', [status(thm)], [zip_derived_cl179])).
% 0.21/0.77 thf(zip_derived_cl14, plain, ( (environment @ sk1)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.77 thf(zip_derived_cl181, plain,
% 0.21/0.77 (((cardinality_at_time @ first_movers @ sk2) = (zero))),
% 0.21/0.77 inference('demod', [status(thm)], [zip_derived_cl180, zip_derived_cl14])).
% 0.21/0.77 thf(zip_derived_cl182, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (((zero) != (zero))
% 0.21/0.77 | ~ (subpopulation @ first_movers @ X0 @ sk2)
% 0.21/0.77 | ~ (subpopulation @ efficient_producers @ X0 @ sk2)
% 0.21/0.77 | ~ (environment @ X0))),
% 0.21/0.77 inference('demod', [status(thm)], [zip_derived_cl159, zip_derived_cl181])).
% 0.21/0.77 thf(zip_derived_cl183, plain,
% 0.21/0.77 (![X0 : $i]:
% 0.21/0.77 (~ (environment @ X0)
% 0.21/0.77 | ~ (subpopulation @ efficient_producers @ X0 @ sk2)
% 0.21/0.77 | ~ (subpopulation @ first_movers @ X0 @ sk2))),
% 0.21/0.77 inference('simplify', [status(thm)], [zip_derived_cl182])).
% 0.21/0.77 thf(zip_derived_cl186, plain,
% 0.21/0.77 ((~ (environment @ sk1) | ~ (subpopulation @ first_movers @ sk1 @ sk2))),
% 0.21/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl140, zip_derived_cl183])).
% 0.21/0.77 thf(zip_derived_cl14, plain, ( (environment @ sk1)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.77 thf(zip_derived_cl15, plain, ( (in_environment @ sk1 @ sk2)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.77 thf(mp_subpopulations_32, axiom,
% 0.21/0.77 (( ~( environment @ A ) ) | ( ~( in_environment @ A @ B ) ) |
% 0.21/0.77 ( subpopulation @ first_movers @ A @ B ))).
% 0.21/0.77 thf(zip_derived_cl4, plain,
% 0.21/0.77 (![X0 : $i, X1 : $i]:
% 0.21/0.77 (~ (environment @ X0)
% 0.21/0.77 | ~ (in_environment @ X0 @ X1)
% 0.21/0.77 | (subpopulation @ first_movers @ X0 @ X1))),
% 0.21/0.77 inference('cnf', [status(esa)], [mp_subpopulations_32])).
% 0.21/0.77 thf(zip_derived_cl128, plain,
% 0.21/0.77 (( (subpopulation @ first_movers @ sk1 @ sk2) | ~ (environment @ sk1))),
% 0.21/0.77 inference('dp-resolution', [status(thm)],
% 0.21/0.77 [zip_derived_cl15, zip_derived_cl4])).
% 0.21/0.77 thf(zip_derived_cl14, plain, ( (environment @ sk1)),
% 0.21/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.77 thf(zip_derived_cl136, plain, ( (subpopulation @ first_movers @ sk1 @ sk2)),
% 0.21/0.77 inference('demod', [status(thm)], [zip_derived_cl128, zip_derived_cl14])).
% 0.21/0.77 thf(zip_derived_cl187, plain, ($false),
% 0.21/0.77 inference('demod', [status(thm)],
% 0.21/0.77 [zip_derived_cl186, zip_derived_cl14, zip_derived_cl136])).
% 0.21/0.77
% 0.21/0.77 % SZS output end Refutation
% 0.21/0.77
% 0.21/0.77
% 0.21/0.77 % Terminating...
% 1.26/0.85 % Runner terminated.
% 1.26/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------