TSTP Solution File: MGT035-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT035-1 : 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.oYySSTqjLW 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 09:20:12 EDT 2023
% Result : Unsatisfiable 3.95s 1.13s
% Output : Refutation 3.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT035-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oYySSTqjLW true
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 05:58:27 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.64 % Total configuration time : 435
% 0.20/0.64 % Estimated wc time : 1092
% 0.20/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.95/1.13 % Solved by fo/fo3_bce.sh.
% 3.95/1.13 % BCE start: 25
% 3.95/1.13 % BCE eliminated: 0
% 3.95/1.13 % PE start: 25
% 3.95/1.13 logic: eq
% 3.95/1.13 % PE eliminated: 6
% 3.95/1.13 % done 406 iterations in 0.395s
% 3.95/1.13 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.95/1.13 % SZS output start Refutation
% 3.95/1.13 thf(in_environment_type, type, in_environment: $i > $i > $o).
% 3.95/1.13 thf(greater_or_equal_type, type, greater_or_equal: $i > $i > $o).
% 3.95/1.13 thf(zero_type, type, zero: $i).
% 3.95/1.13 thf(sk1_type, type, sk1: $i > $i).
% 3.95/1.13 thf(sk4_type, type, sk4: $i > $i).
% 3.95/1.13 thf(sk3_type, type, sk3: $i).
% 3.95/1.13 thf(growth_rate_type, type, growth_rate: $i > $i > $i).
% 3.95/1.13 thf(subpopulations_type, type, subpopulations: $i > $i > $i > $i > $o).
% 3.95/1.13 thf(sk2_type, type, sk2: $i > $i).
% 3.95/1.13 thf(stable_type, type, stable: $i > $o).
% 3.95/1.13 thf(first_movers_type, type, first_movers: $i).
% 3.95/1.13 thf(efficient_producers_type, type, efficient_producers: $i).
% 3.95/1.13 thf(greater_type, type, greater: $i > $i > $o).
% 3.95/1.13 thf(outcompetes_type, type, outcompetes: $i > $i > $i > $o).
% 3.95/1.13 thf(equilibrium_type, type, equilibrium: $i > $i).
% 3.95/1.13 thf(environment_type, type, environment: $i > $o).
% 3.95/1.13 thf(mp_greater_or_equal_24, axiom,
% 3.95/1.13 (( ~( greater_or_equal @ A @ B ) ) | ( greater @ A @ B ) |
% 3.95/1.13 ( ( A ) = ( B ) ))).
% 3.95/1.13 thf(zip_derived_cl2, plain,
% 3.95/1.13 (![X0 : $i, X1 : $i]:
% 3.95/1.13 (~ (greater_or_equal @ X0 @ X1) | (greater @ X0 @ X1) | ((X0) = (X1)))),
% 3.95/1.13 inference('cnf', [status(esa)], [mp_greater_or_equal_24])).
% 3.95/1.13 thf(prove_t4_45, conjecture,
% 3.95/1.13 (~( ( greater_or_equal @ ( sk4 @ A ) @ A ) |
% 3.95/1.13 ( ~( in_environment @ sk3 @ A ) ) ))).
% 3.95/1.13 thf(zf_stmt_0, negated_conjecture,
% 3.95/1.13 (( greater_or_equal @ ( sk4 @ A ) @ A ) | ( ~( in_environment @ sk3 @ A ) )),
% 3.95/1.13 inference('cnf.neg', [status(esa)], [prove_t4_45])).
% 3.95/1.13 thf(zip_derived_cl23, plain,
% 3.95/1.13 (![X0 : $i]:
% 3.95/1.13 ( (greater_or_equal @ (sk4 @ X0) @ X0) | ~ (in_environment @ sk3 @ X0))),
% 3.95/1.13 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.95/1.13 thf(zip_derived_cl351, plain,
% 3.95/1.13 (![X0 : $i]:
% 3.95/1.13 (((sk4 @ X0) = (X0))
% 3.95/1.13 | (greater @ (sk4 @ X0) @ X0)
% 3.95/1.13 | ~ (in_environment @ sk3 @ X0))),
% 3.95/1.13 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl23])).
% 3.95/1.13 thf(prove_t4_42, conjecture, (~( environment @ sk3 ))).
% 3.95/1.13 thf(zf_stmt_1, negated_conjecture, (environment @ sk3),
% 3.95/1.13 inference('cnf.neg', [status(esa)], [prove_t4_42])).
% 3.95/1.13 thf(zip_derived_cl20, plain, ( (environment @ sk3)),
% 3.95/1.13 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.95/1.13 thf(prove_t4_43, conjecture, (~( stable @ sk3 ))).
% 3.95/1.13 thf(zf_stmt_2, negated_conjecture, (stable @ sk3),
% 3.95/1.13 inference('cnf.neg', [status(esa)], [prove_t4_43])).
% 3.95/1.13 thf(zip_derived_cl21, plain, ( (stable @ sk3)),
% 3.95/1.13 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.95/1.13 thf(a4_40, axiom,
% 3.95/1.13 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 3.95/1.13 ( in_environment @ A @ ( sk2 @ A ) ))).
% 3.95/1.13 thf(zip_derived_cl18, plain,
% 3.95/1.13 (![X0 : $i]:
% 3.95/1.13 (~ (environment @ X0)
% 3.95/1.13 | ~ (stable @ X0)
% 3.95/1.13 | (in_environment @ X0 @ (sk2 @ X0)))),
% 3.95/1.13 inference('cnf', [status(esa)], [a4_40])).
% 3.95/1.13 thf(zip_derived_cl206, plain,
% 3.95/1.13 (( (in_environment @ sk3 @ (sk2 @ sk3)) | ~ (environment @ sk3))),
% 3.95/1.13 inference('dp-resolution', [status(thm)],
% 3.95/1.13 [zip_derived_cl21, zip_derived_cl18])).
% 3.95/1.13 thf(zip_derived_cl243, plain,
% 3.95/1.13 ((((sk3) != (sk3)) | (in_environment @ sk3 @ (sk2 @ sk3)))),
% 3.95/1.13 inference('dp-resolution', [status(thm)],
% 3.95/1.13 [zip_derived_cl20, zip_derived_cl206])).
% 3.95/1.13 thf(zip_derived_cl344, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 3.95/1.13 inference('simplify', [status(thm)], [zip_derived_cl243])).
% 3.95/1.13 thf(zip_derived_cl357, plain,
% 3.95/1.13 (( (greater @ (sk4 @ (sk2 @ sk3)) @ (sk2 @ sk3))
% 3.95/1.13 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3)))),
% 3.95/1.13 inference('sup+', [status(thm)], [zip_derived_cl351, zip_derived_cl344])).
% 3.95/1.13 thf(zip_derived_cl2, plain,
% 3.95/1.13 (![X0 : $i, X1 : $i]:
% 3.95/1.13 (~ (greater_or_equal @ X0 @ X1) | (greater @ X0 @ X1) | ((X0) = (X1)))),
% 3.95/1.13 inference('cnf', [status(esa)], [mp_greater_or_equal_24])).
% 3.95/1.13 thf(zip_derived_cl20, plain, ( (environment @ sk3)),
% 3.95/1.13 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.95/1.13 thf(zip_derived_cl21, plain, ( (stable @ sk3)),
% 3.95/1.13 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.95/1.13 thf(a4_41, axiom,
% 3.95/1.13 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 3.95/1.13 ( greater_or_equal @ ( sk2 @ A ) @ ( equilibrium @ A ) ))).
% 3.95/1.13 thf(zip_derived_cl19, plain,
% 3.95/1.13 (![X0 : $i]:
% 3.95/1.13 (~ (environment @ X0)
% 3.95/1.13 | ~ (stable @ X0)
% 3.95/1.13 | (greater_or_equal @ (sk2 @ X0) @ (equilibrium @ X0)))),
% 3.95/1.13 inference('cnf', [status(esa)], [a4_41])).
% 3.95/1.13 thf(zip_derived_cl207, plain,
% 3.95/1.13 (( (greater_or_equal @ (sk2 @ sk3) @ (equilibrium @ sk3))
% 3.95/1.13 | ~ (environment @ sk3))),
% 3.95/1.13 inference('dp-resolution', [status(thm)],
% 3.95/1.13 [zip_derived_cl21, zip_derived_cl19])).
% 3.95/1.13 thf(zip_derived_cl246, plain,
% 3.95/1.13 ((((sk3) != (sk3))
% 3.95/1.13 | (greater_or_equal @ (sk2 @ sk3) @ (equilibrium @ sk3)))),
% 3.95/1.13 inference('dp-resolution', [status(thm)],
% 3.95/1.13 [zip_derived_cl20, zip_derived_cl207])).
% 3.95/1.13 thf(zip_derived_cl345, plain,
% 3.95/1.13 ( (greater_or_equal @ (sk2 @ sk3) @ (equilibrium @ sk3))),
% 3.95/1.13 inference('simplify', [status(thm)], [zip_derived_cl246])).
% 3.95/1.13 thf(zip_derived_cl350, plain,
% 3.95/1.13 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.13 | (greater @ (sk2 @ sk3) @ (equilibrium @ sk3)))),
% 3.95/1.13 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl345])).
% 3.95/1.13 thf(zip_derived_cl20, plain, ( (environment @ sk3)),
% 3.95/1.13 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.95/1.13 thf(zip_derived_cl21, plain, ( (stable @ sk3)),
% 3.95/1.13 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.95/1.13 thf(l1_38, axiom,
% 3.95/1.13 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 3.95/1.13 ( in_environment @ A @ ( sk1 @ A ) ))).
% 3.95/1.13 thf(zip_derived_cl16, plain,
% 3.95/1.13 (![X0 : $i]:
% 3.95/1.13 (~ (environment @ X0)
% 3.95/1.13 | ~ (stable @ X0)
% 3.95/1.13 | (in_environment @ X0 @ (sk1 @ X0)))),
% 3.95/1.13 inference('cnf', [status(esa)], [l1_38])).
% 3.95/1.13 thf(zip_derived_cl204, plain,
% 3.95/1.13 (( (in_environment @ sk3 @ (sk1 @ sk3)) | ~ (environment @ sk3))),
% 3.95/1.13 inference('dp-resolution', [status(thm)],
% 3.95/1.13 [zip_derived_cl21, zip_derived_cl16])).
% 3.95/1.13 thf(zip_derived_cl240, plain,
% 3.95/1.13 ((((sk3) != (sk3)) | (in_environment @ sk3 @ (sk1 @ sk3)))),
% 3.95/1.13 inference('dp-resolution', [status(thm)],
% 3.95/1.13 [zip_derived_cl20, zip_derived_cl204])).
% 3.95/1.13 thf(zip_derived_cl343, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 3.95/1.13 inference('simplify', [status(thm)], [zip_derived_cl240])).
% 3.95/1.13 thf(mp_times_in_environment_23, axiom,
% 3.95/1.13 (( ~( in_environment @ A @ B ) ) | ( ~( in_environment @ A @ C ) ) |
% 3.95/1.13 ( greater @ C @ B ) | ( ( C ) = ( B ) ) | ( greater @ B @ C ))).
% 3.95/1.13 thf(zip_derived_cl1, plain,
% 3.95/1.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.95/1.13 (~ (in_environment @ X0 @ X1)
% 3.95/1.13 | ~ (in_environment @ X0 @ X2)
% 3.95/1.13 | (greater @ X2 @ X1)
% 3.95/1.13 | ((X2) = (X1))
% 3.95/1.13 | (greater @ X1 @ X2))),
% 3.95/1.13 inference('cnf', [status(esa)], [mp_times_in_environment_23])).
% 3.95/1.13 thf(zip_derived_cl360, plain,
% 3.95/1.13 (![X0 : $i]:
% 3.95/1.13 ( (greater @ (sk1 @ sk3) @ X0)
% 3.95/1.13 | ((X0) = (sk1 @ sk3))
% 3.95/1.13 | (greater @ X0 @ (sk1 @ sk3))
% 3.95/1.13 | ~ (in_environment @ sk3 @ X0))),
% 3.95/1.13 inference('sup-', [status(thm)], [zip_derived_cl343, zip_derived_cl1])).
% 3.95/1.13 thf(zip_derived_cl344, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 3.95/1.13 inference('simplify', [status(thm)], [zip_derived_cl243])).
% 3.95/1.13 thf(zip_derived_cl372, plain,
% 3.95/1.13 (( (greater @ (sk2 @ sk3) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl360, zip_derived_cl344])).
% 3.95/1.14 thf(zip_derived_cl350, plain,
% 3.95/1.14 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | (greater @ (sk2 @ sk3) @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl345])).
% 3.95/1.14 thf(zip_derived_cl357, plain,
% 3.95/1.14 (( (greater @ (sk4 @ (sk2 @ sk3)) @ (sk2 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl351, zip_derived_cl344])).
% 3.95/1.14 thf(mp_greater_transitivity_22, axiom,
% 3.95/1.14 (( ~( greater @ A @ B ) ) | ( ~( greater @ B @ C ) ) | ( greater @ A @ C ))).
% 3.95/1.14 thf(zip_derived_cl0, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.95/1.14 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_transitivity_22])).
% 3.95/1.14 thf(zip_derived_cl366, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 3.95/1.14 | (greater @ (sk4 @ (sk2 @ sk3)) @ X0)
% 3.95/1.14 | ~ (greater @ (sk2 @ sk3) @ X0))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl357, zip_derived_cl0])).
% 3.95/1.14 thf(zip_derived_cl344, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl243])).
% 3.95/1.14 thf(mp_greater_or_equal_25, axiom,
% 3.95/1.14 (( ~( greater @ A @ B ) ) | ( greater_or_equal @ A @ B ))).
% 3.95/1.14 thf(zip_derived_cl3, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_or_equal_25])).
% 3.95/1.14 thf(zip_derived_cl3, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_or_equal_25])).
% 3.95/1.14 thf(zip_derived_cl344, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl243])).
% 3.95/1.14 thf(zip_derived_cl344, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl243])).
% 3.95/1.14 thf(zip_derived_cl344, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl243])).
% 3.95/1.14 thf(zip_derived_cl20, plain, ( (environment @ sk3)),
% 3.95/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.95/1.14 thf(prove_t4_44, conjecture,
% 3.95/1.14 (~( ( subpopulations @
% 3.95/1.14 first_movers @ efficient_producers @ sk3 @ ( sk4 @ A ) ) |
% 3.95/1.14 ( ~( in_environment @ sk3 @ A ) ) ))).
% 3.95/1.14 thf(zf_stmt_3, negated_conjecture,
% 3.95/1.14 (( subpopulations @ first_movers @ efficient_producers @ sk3 @ ( sk4 @ A ) ) |
% 3.95/1.14 ( ~( in_environment @ sk3 @ A ) )),
% 3.95/1.14 inference('cnf.neg', [status(esa)], [prove_t4_44])).
% 3.95/1.14 thf(zip_derived_cl22, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 3.95/1.14 (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0))),
% 3.95/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.95/1.14 thf(l6_30, axiom,
% 3.95/1.14 (( ~( environment @ A ) ) |
% 3.95/1.14 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 3.95/1.14 ( ~( greater_or_equal @ B @ ( equilibrium @ A ) ) ) |
% 3.95/1.14 ( ( growth_rate @ first_movers @ B ) = ( zero ) ) |
% 3.95/1.14 ( greater @ ( growth_rate @ first_movers @ B ) @ zero ) |
% 3.95/1.14 ( greater @ ( growth_rate @ efficient_producers @ B ) @ zero ))).
% 3.95/1.14 thf(zip_derived_cl8, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (environment @ X0)
% 3.95/1.14 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 3.95/1.14 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 3.95/1.14 | ((growth_rate @ first_movers @ X1) = (zero))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 3.95/1.14 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero))),
% 3.95/1.14 inference('cnf', [status(esa)], [l6_30])).
% 3.95/1.14 thf(zip_derived_cl210, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.95/1.14 (((first_movers) != (first_movers))
% 3.95/1.14 | ((efficient_producers) != (efficient_producers))
% 3.95/1.14 | ((sk3) != (X1))
% 3.95/1.14 | ((sk4 @ X0) != (X2))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | (greater @ (growth_rate @ efficient_producers @ X2) @ zero)
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ X2) @ zero)
% 3.95/1.14 | ((growth_rate @ first_movers @ X2) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ X2 @ (equilibrium @ X1))
% 3.95/1.14 | ~ (environment @ X1))),
% 3.95/1.14 inference('dp-resolution', [status(thm)],
% 3.95/1.14 [zip_derived_cl22, zip_derived_cl8])).
% 3.95/1.14 thf(zip_derived_cl247, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ X1 @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ first_movers @ X1) = (zero))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 3.95/1.14 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X0) != (X1))
% 3.95/1.14 | ((sk3) != (sk3))
% 3.95/1.14 | ((efficient_producers) != (efficient_producers))
% 3.95/1.14 | ((first_movers) != (first_movers)))),
% 3.95/1.14 inference('dp-resolution', [status(thm)],
% 3.95/1.14 [zip_derived_cl20, zip_derived_cl210])).
% 3.95/1.14 thf(zip_derived_cl367, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ X0) != (X1))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero)
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 3.95/1.14 | ((growth_rate @ first_movers @ X1) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ X1 @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl247])).
% 3.95/1.14 thf(zip_derived_cl369, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ X0 @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ first_movers @ X0) = (zero))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ X0) @ zero)
% 3.95/1.14 | (greater @ (growth_rate @ efficient_producers @ X0) @ zero)
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl367])).
% 3.95/1.14 thf(zip_derived_cl3, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_or_equal_25])).
% 3.95/1.14 thf(zip_derived_cl20, plain, ( (environment @ sk3)),
% 3.95/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.95/1.14 thf(zip_derived_cl22, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 3.95/1.14 (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0))),
% 3.95/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.95/1.14 thf(d2_27, axiom,
% 3.95/1.14 (( ~( environment @ A ) ) | ( ~( subpopulations @ B @ C @ A @ D ) ) |
% 3.95/1.14 ( ~( greater_or_equal @ ( growth_rate @ C @ D ) @ zero ) ) |
% 3.95/1.14 ( ~( greater @ zero @ ( growth_rate @ B @ D ) ) ) |
% 3.95/1.14 ( outcompetes @ C @ B @ D ))).
% 3.95/1.14 thf(zip_derived_cl5, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.95/1.14 (~ (environment @ X0)
% 3.95/1.14 | ~ (subpopulations @ X1 @ X2 @ X0 @ X3)
% 3.95/1.14 | ~ (greater_or_equal @ (growth_rate @ X2 @ X3) @ zero)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ X1 @ X3))
% 3.95/1.14 | (outcompetes @ X2 @ X1 @ X3))),
% 3.95/1.14 inference('cnf', [status(esa)], [d2_27])).
% 3.95/1.14 thf(prove_t4_46, conjecture,
% 3.95/1.14 (~( ( ~( outcompetes @ efficient_producers @ first_movers @ ( sk4 @ A ) ) ) |
% 3.95/1.14 ( ~( in_environment @ sk3 @ A ) ) ))).
% 3.95/1.14 thf(zf_stmt_4, negated_conjecture,
% 3.95/1.14 (( ~( outcompetes @ efficient_producers @ first_movers @ ( sk4 @ A ) ) ) |
% 3.95/1.14 ( ~( in_environment @ sk3 @ A ) )),
% 3.95/1.14 inference('cnf.neg', [status(esa)], [prove_t4_46])).
% 3.95/1.14 thf(zip_derived_cl24, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (outcompetes @ efficient_producers @ first_movers @ (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0))),
% 3.95/1.14 inference('cnf', [status(esa)], [zf_stmt_4])).
% 3.95/1.14 thf(zip_derived_cl203, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X1)))
% 3.95/1.14 | ~ (greater_or_equal @
% 3.95/1.14 (growth_rate @ efficient_producers @ (sk4 @ X1)) @ zero)
% 3.95/1.14 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @
% 3.95/1.14 (sk4 @ X1))
% 3.95/1.14 | ~ (environment @ X0)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1))),
% 3.95/1.14 inference('dp-resolution', [status(thm)],
% 3.95/1.14 [zip_derived_cl5, zip_derived_cl24])).
% 3.95/1.14 thf(zip_derived_cl234, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.95/1.14 (((first_movers) != (first_movers))
% 3.95/1.14 | ((efficient_producers) != (efficient_producers))
% 3.95/1.14 | ((sk3) != (X2))
% 3.95/1.14 | ((sk4 @ X0) != (sk4 @ X1))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ~ (environment @ X2)
% 3.95/1.14 | ~ (greater_or_equal @
% 3.95/1.14 (growth_rate @ efficient_producers @ (sk4 @ X1)) @ zero)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X1))))),
% 3.95/1.14 inference('dp-resolution', [status(thm)],
% 3.95/1.14 [zip_derived_cl22, zip_derived_cl203])).
% 3.95/1.14 thf(zip_derived_cl255, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X1)))
% 3.95/1.14 | ~ (greater_or_equal @
% 3.95/1.14 (growth_rate @ efficient_producers @ (sk4 @ X1)) @ zero)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X0) != (sk4 @ X1))
% 3.95/1.14 | ((sk3) != (sk3))
% 3.95/1.14 | ((efficient_producers) != (efficient_producers))
% 3.95/1.14 | ((first_movers) != (first_movers)))),
% 3.95/1.14 inference('dp-resolution', [status(thm)],
% 3.95/1.14 [zip_derived_cl20, zip_derived_cl234])).
% 3.95/1.14 thf(zip_derived_cl388, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ X0) != (sk4 @ X1))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ~ (greater_or_equal @
% 3.95/1.14 (growth_rate @ efficient_producers @ (sk4 @ X1)) @ zero)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X1))))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl255])).
% 3.95/1.14 thf(zip_derived_cl389, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ (growth_rate @ efficient_producers @ (sk4 @ X0)) @ zero)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0)))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl388])).
% 3.95/1.14 thf(zip_derived_cl417, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ (sk4 @ X0)) @ zero)
% 3.95/1.14 | ((growth_rate @ first_movers @ (sk4 @ X0)) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0))))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl369, zip_derived_cl389])).
% 3.95/1.14 thf(zip_derived_cl344, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl243])).
% 3.95/1.14 thf(zip_derived_cl20, plain, ( (environment @ sk3)),
% 3.95/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.95/1.14 thf(zip_derived_cl22, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 3.95/1.14 (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0))),
% 3.95/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.95/1.14 thf(l6_31, axiom,
% 3.95/1.14 (( ~( environment @ A ) ) |
% 3.95/1.14 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 3.95/1.14 ( ~( greater_or_equal @ B @ ( equilibrium @ A ) ) ) |
% 3.95/1.14 ( ( growth_rate @ first_movers @ B ) = ( zero ) ) |
% 3.95/1.14 ( greater @ ( growth_rate @ first_movers @ B ) @ zero ) |
% 3.95/1.14 ( greater @ zero @ ( growth_rate @ first_movers @ B ) ))).
% 3.95/1.14 thf(zip_derived_cl9, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (environment @ X0)
% 3.95/1.14 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 3.95/1.14 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 3.95/1.14 | ((growth_rate @ first_movers @ X1) = (zero))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 3.95/1.14 inference('cnf', [status(esa)], [l6_31])).
% 3.95/1.14 thf(zip_derived_cl213, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.95/1.14 (((first_movers) != (first_movers))
% 3.95/1.14 | ((efficient_producers) != (efficient_producers))
% 3.95/1.14 | ((sk3) != (X1))
% 3.95/1.14 | ((sk4 @ X0) != (X2))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X2))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ X2) @ zero)
% 3.95/1.14 | ((growth_rate @ first_movers @ X2) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ X2 @ (equilibrium @ X1))
% 3.95/1.14 | ~ (environment @ X1))),
% 3.95/1.14 inference('dp-resolution', [status(thm)],
% 3.95/1.14 [zip_derived_cl22, zip_derived_cl9])).
% 3.95/1.14 thf(zip_derived_cl248, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ X1 @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ first_movers @ X1) = (zero))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X0) != (X1))
% 3.95/1.14 | ((sk3) != (sk3))
% 3.95/1.14 | ((efficient_producers) != (efficient_producers))
% 3.95/1.14 | ((first_movers) != (first_movers)))),
% 3.95/1.14 inference('dp-resolution', [status(thm)],
% 3.95/1.14 [zip_derived_cl20, zip_derived_cl213])).
% 3.95/1.14 thf(zip_derived_cl391, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ X0) != (X1))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 3.95/1.14 | ((growth_rate @ first_movers @ X1) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ X1 @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl248])).
% 3.95/1.14 thf(zip_derived_cl393, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ X0 @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ first_movers @ X0) = (zero))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ X0) @ zero)
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl391])).
% 3.95/1.14 thf(zip_derived_cl968, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ first_movers @ (sk4 @ X0)) = (zero))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ (sk4 @ X0)) @ zero)
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0)))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl417, zip_derived_cl393])).
% 3.95/1.14 thf(zip_derived_cl970, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ (sk4 @ X0)) @ zero)
% 3.95/1.14 | ((growth_rate @ first_movers @ (sk4 @ X0)) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl968])).
% 3.95/1.14 thf(zip_derived_cl971, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ first_movers @ (sk4 @ X0)) = (zero))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ (sk4 @ X0)) @ zero)
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl970])).
% 3.95/1.14 thf(zip_derived_cl344, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl243])).
% 3.95/1.14 thf(zip_derived_cl20, plain, ( (environment @ sk3)),
% 3.95/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.95/1.14 thf(zip_derived_cl22, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 3.95/1.14 (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0))),
% 3.95/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.95/1.14 thf(zip_derived_cl21, plain, ( (stable @ sk3)),
% 3.95/1.14 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.95/1.14 thf(l1_39, axiom,
% 3.95/1.14 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 3.95/1.14 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 3.95/1.14 ( ~( greater_or_equal @ B @ ( sk1 @ A ) ) ) |
% 3.95/1.14 ( greater @
% 3.95/1.14 ( growth_rate @ efficient_producers @ B ) @
% 3.95/1.14 ( growth_rate @ first_movers @ B ) ))).
% 3.95/1.14 thf(zip_derived_cl17, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (environment @ X0)
% 3.95/1.14 | ~ (stable @ X0)
% 3.95/1.14 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 3.95/1.14 | ~ (greater_or_equal @ X1 @ (sk1 @ X0))
% 3.95/1.14 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 3.95/1.14 (growth_rate @ first_movers @ X1)))),
% 3.95/1.14 inference('cnf', [status(esa)], [l1_39])).
% 3.95/1.14 thf(zip_derived_cl205, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 3.95/1.14 (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | ~ (subpopulations @ first_movers @ efficient_producers @ sk3 @ X0)
% 3.95/1.14 | ~ (environment @ sk3))),
% 3.95/1.14 inference('dp-resolution', [status(thm)],
% 3.95/1.14 [zip_derived_cl21, zip_derived_cl17])).
% 3.95/1.14 thf(zip_derived_cl237, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((first_movers) != (first_movers))
% 3.95/1.14 | ((efficient_producers) != (efficient_producers))
% 3.95/1.14 | ((sk3) != (sk3))
% 3.95/1.14 | ((sk4 @ X0) != (X1))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (environment @ sk3)
% 3.95/1.14 | ~ (greater_or_equal @ X1 @ (sk1 @ sk3))
% 3.95/1.14 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 3.95/1.14 (growth_rate @ first_movers @ X1)))),
% 3.95/1.14 inference('dp-resolution', [status(thm)],
% 3.95/1.14 [zip_derived_cl22, zip_derived_cl205])).
% 3.95/1.14 thf(zip_derived_cl258, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk3) != (sk3))
% 3.95/1.14 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 3.95/1.14 (growth_rate @ first_movers @ X1))
% 3.95/1.14 | ~ (greater_or_equal @ X1 @ (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X0) != (X1))
% 3.95/1.14 | ((sk3) != (sk3))
% 3.95/1.14 | ((efficient_producers) != (efficient_producers))
% 3.95/1.14 | ((first_movers) != (first_movers)))),
% 3.95/1.14 inference('dp-resolution', [status(thm)],
% 3.95/1.14 [zip_derived_cl20, zip_derived_cl237])).
% 3.95/1.14 thf(zip_derived_cl385, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ X0) != (X1))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater_or_equal @ X1 @ (sk1 @ sk3))
% 3.95/1.14 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 3.95/1.14 (growth_rate @ first_movers @ X1)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl258])).
% 3.95/1.14 thf(zip_derived_cl387, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 3.95/1.14 (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl385])).
% 3.95/1.14 thf(zip_derived_cl0, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.95/1.14 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_transitivity_22])).
% 3.95/1.14 thf(zip_derived_cl399, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ (sk2 @ sk3)) != (X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | (greater @ (growth_rate @ efficient_producers @ X0) @ X1)
% 3.95/1.14 | ~ (greater @ (growth_rate @ first_movers @ X0) @ X1))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl387, zip_derived_cl0])).
% 3.95/1.14 thf(zip_derived_cl389, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ (growth_rate @ efficient_producers @ (sk4 @ X0)) @ zero)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0)))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl388])).
% 3.95/1.14 thf(zip_derived_cl409, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ (growth_rate @ first_movers @ (sk4 @ X0)) @ zero)
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0))))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl399, zip_derived_cl389])).
% 3.95/1.14 thf(zip_derived_cl1042, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ((growth_rate @ first_movers @ (sk4 @ X0)) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0)))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl971, zip_derived_cl409])).
% 3.95/1.14 thf(zip_derived_cl1051, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0)))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ first_movers @ (sk4 @ X0)) = (zero))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1042])).
% 3.95/1.14 thf(zip_derived_cl387, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 3.95/1.14 (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl385])).
% 3.95/1.14 thf(zip_derived_cl344, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl243])).
% 3.95/1.14 thf(zip_derived_cl20, plain, ( (environment @ sk3)),
% 3.95/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.95/1.14 thf(zip_derived_cl22, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (subpopulations @ first_movers @ efficient_producers @ sk3 @
% 3.95/1.14 (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0))),
% 3.95/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.95/1.14 thf(l6_37, axiom,
% 3.95/1.14 (( ~( environment @ A ) ) |
% 3.95/1.14 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 3.95/1.14 ( ~( greater_or_equal @ B @ ( equilibrium @ A ) ) ) |
% 3.95/1.14 ( ( growth_rate @ efficient_producers @ B ) = ( zero ) ) |
% 3.95/1.14 ( greater @ zero @ ( growth_rate @ efficient_producers @ B ) ) |
% 3.95/1.14 ( greater @ zero @ ( growth_rate @ first_movers @ B ) ))).
% 3.95/1.14 thf(zip_derived_cl15, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (environment @ X0)
% 3.95/1.14 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 3.95/1.14 | ~ (greater_or_equal @ X1 @ (equilibrium @ X0))
% 3.95/1.14 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X1)))),
% 3.95/1.14 inference('cnf', [status(esa)], [l6_37])).
% 3.95/1.14 thf(zip_derived_cl231, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.95/1.14 (((first_movers) != (first_movers))
% 3.95/1.14 | ((efficient_producers) != (efficient_producers))
% 3.95/1.14 | ((sk3) != (X1))
% 3.95/1.14 | ((sk4 @ X0) != (X2))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X2))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ efficient_producers @ X2))
% 3.95/1.14 | ((growth_rate @ efficient_producers @ X2) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ X2 @ (equilibrium @ X1))
% 3.95/1.14 | ~ (environment @ X1))),
% 3.95/1.14 inference('dp-resolution', [status(thm)],
% 3.95/1.14 [zip_derived_cl22, zip_derived_cl15])).
% 3.95/1.14 thf(zip_derived_cl254, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ X1 @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X0) != (X1))
% 3.95/1.14 | ((sk3) != (sk3))
% 3.95/1.14 | ((efficient_producers) != (efficient_producers))
% 3.95/1.14 | ((first_movers) != (first_movers)))),
% 3.95/1.14 inference('dp-resolution', [status(thm)],
% 3.95/1.14 [zip_derived_cl20, zip_derived_cl231])).
% 3.95/1.14 thf(zip_derived_cl540, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ X0) != (X1))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 3.95/1.14 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ X1 @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl254])).
% 3.95/1.14 thf(zip_derived_cl542, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ X0 @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ efficient_producers @ X0) = (zero))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ efficient_producers @ X0))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl540])).
% 3.95/1.14 thf(zip_derived_cl0, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.95/1.14 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_transitivity_22])).
% 3.95/1.14 thf(zip_derived_cl659, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ (sk2 @ sk3)) != (X0))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ((growth_rate @ efficient_producers @ X0) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (equilibrium @ sk3))
% 3.95/1.14 | (greater @ zero @ X1)
% 3.95/1.14 | ~ (greater @ (growth_rate @ efficient_producers @ X0) @ X1))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl542, zip_derived_cl0])).
% 3.95/1.14 thf(zip_derived_cl1107, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (((sk4 @ (sk2 @ sk3)) != (X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ efficient_producers @ X0) = (zero))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl387, zip_derived_cl659])).
% 3.95/1.14 thf(zip_derived_cl1122, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (((growth_rate @ efficient_producers @ X0) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (equilibrium @ sk3))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (X0)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1107])).
% 3.95/1.14 thf(zip_derived_cl387, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 3.95/1.14 (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl385])).
% 3.95/1.14 thf(zip_derived_cl1149, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (greater @ zero @ (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl1122, zip_derived_cl387])).
% 3.95/1.14 thf(zip_derived_cl1174, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ X0 @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (X0))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X0)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 3.95/1.14 thf(zip_derived_cl1777, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ((growth_rate @ first_movers @ (sk4 @ X0)) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl1051, zip_derived_cl1174])).
% 3.95/1.14 thf(zip_derived_cl1779, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ first_movers @ (sk4 @ X0)) = (zero))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl1777])).
% 3.95/1.14 thf(zip_derived_cl1780, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (((growth_rate @ first_movers @ (sk4 @ X0)) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 3.95/1.14 thf(zip_derived_cl387, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 3.95/1.14 (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl385])).
% 3.95/1.14 thf(zip_derived_cl1784, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (greater @ (growth_rate @ efficient_producers @ (sk4 @ X0)) @ zero)
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl1780, zip_derived_cl387])).
% 3.95/1.14 thf(zip_derived_cl1800, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | (greater @ (growth_rate @ efficient_producers @ (sk4 @ X0)) @ zero))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1784])).
% 3.95/1.14 thf(zip_derived_cl389, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ (growth_rate @ efficient_producers @ (sk4 @ X0)) @ zero)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0)))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl388])).
% 3.95/1.14 thf(zip_derived_cl1868, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0))))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl1800, zip_derived_cl389])).
% 3.95/1.14 thf(zip_derived_cl1888, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0)))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1868])).
% 3.95/1.14 thf(zip_derived_cl1174, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ X0 @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (X0))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X0)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1149])).
% 3.95/1.14 thf(zip_derived_cl1889, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl1888, zip_derived_cl1174])).
% 3.95/1.14 thf(zip_derived_cl1890, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1889])).
% 3.95/1.14 thf(zip_derived_cl1922, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ~ (greater @ (sk4 @ X0) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1890])).
% 3.95/1.14 thf(zip_derived_cl1948, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X0) != (sk4 @ X0))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater @ (sk4 @ X0) @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('eq_fact', [status(thm)], [zip_derived_cl1922])).
% 3.95/1.14 thf(zip_derived_cl1949, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater @ (sk4 @ X0) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1948])).
% 3.95/1.14 thf(zip_derived_cl1955, plain,
% 3.95/1.14 ((~ (greater @ (sk4 @ (sk2 @ sk3)) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ (sk2 @ sk3)))
% 3.95/1.14 | ~ (greater @ (sk4 @ (sk2 @ sk3)) @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl1949])).
% 3.95/1.14 thf(zip_derived_cl1957, plain,
% 3.95/1.14 ((~ (greater @ (sk4 @ (sk2 @ sk3)) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (greater @ (sk4 @ (sk2 @ sk3)) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1955])).
% 3.95/1.14 thf(zip_derived_cl366, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 3.95/1.14 | (greater @ (sk4 @ (sk2 @ sk3)) @ X0)
% 3.95/1.14 | ~ (greater @ (sk2 @ sk3) @ X0))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl357, zip_derived_cl0])).
% 3.95/1.14 thf(zip_derived_cl1960, plain,
% 3.95/1.14 ((~ (greater @ (sk4 @ (sk2 @ sk3)) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (greater @ (sk2 @ sk3) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl1957, zip_derived_cl366])).
% 3.95/1.14 thf(zip_derived_cl1971, plain,
% 3.95/1.14 ((~ (greater @ (sk2 @ sk3) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 3.95/1.14 | ~ (greater @ (sk2 @ sk3) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl366, zip_derived_cl1960])).
% 3.95/1.14 thf(zip_derived_cl1974, plain,
% 3.95/1.14 ((~ (greater @ (sk2 @ sk3) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 3.95/1.14 | ~ (greater @ (sk2 @ sk3) @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1971])).
% 3.95/1.14 thf(zip_derived_cl372, plain,
% 3.95/1.14 (( (greater @ (sk2 @ sk3) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl360, zip_derived_cl344])).
% 3.95/1.14 thf(zip_derived_cl2012, plain,
% 3.95/1.14 ((~ (greater @ (sk2 @ sk3) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 3.95/1.14 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl1974, zip_derived_cl372])).
% 3.95/1.14 thf(zip_derived_cl350, plain,
% 3.95/1.14 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | (greater @ (sk2 @ sk3) @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl345])).
% 3.95/1.14 thf(zip_derived_cl2035, plain,
% 3.95/1.14 ((((sk2 @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl2012, zip_derived_cl350])).
% 3.95/1.14 thf(zip_derived_cl0, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.95/1.14 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_transitivity_22])).
% 3.95/1.14 thf(zip_derived_cl2051, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | (greater @ (sk1 @ sk3) @ X0)
% 3.95/1.14 | ~ (greater @ (sk2 @ sk3) @ X0))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl2035, zip_derived_cl0])).
% 3.95/1.14 thf(zip_derived_cl2065, plain,
% 3.95/1.14 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl350, zip_derived_cl2051])).
% 3.95/1.14 thf(zip_derived_cl2069, plain,
% 3.95/1.14 ((((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl2065])).
% 3.95/1.14 thf(zip_derived_cl3, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_or_equal_25])).
% 3.95/1.14 thf(mp_greater_or_equal_26, axiom,
% 3.95/1.14 (( ( A ) != ( B ) ) | ( greater_or_equal @ A @ B ))).
% 3.95/1.14 thf(zip_derived_cl4, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | (greater_or_equal @ X1 @ X0))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_or_equal_26])).
% 3.95/1.14 thf(zip_derived_cl343, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl240])).
% 3.95/1.14 thf(zip_derived_cl343, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl240])).
% 3.95/1.14 thf(zip_derived_cl343, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl240])).
% 3.95/1.14 thf(zip_derived_cl367, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ X0) != (X1))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | (greater @ (growth_rate @ efficient_producers @ X1) @ zero)
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 3.95/1.14 | ((growth_rate @ first_movers @ X1) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ X1 @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl247])).
% 3.95/1.14 thf(zip_derived_cl368, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ X0 @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ first_movers @ X0) = (zero))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ X0) @ zero)
% 3.95/1.14 | (greater @ (growth_rate @ efficient_producers @ X0) @ zero)
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl343, zip_derived_cl367])).
% 3.95/1.14 thf(zip_derived_cl389, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ (growth_rate @ efficient_producers @ (sk4 @ X0)) @ zero)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0)))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl388])).
% 3.95/1.14 thf(zip_derived_cl415, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ (sk4 @ X0)) @ zero)
% 3.95/1.14 | ((growth_rate @ first_movers @ (sk4 @ X0)) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0))))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl368, zip_derived_cl389])).
% 3.95/1.14 thf(zip_derived_cl343, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl240])).
% 3.95/1.14 thf(zip_derived_cl391, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ X0) != (X1))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ X1) @ zero)
% 3.95/1.14 | ((growth_rate @ first_movers @ X1) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ X1 @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl248])).
% 3.95/1.14 thf(zip_derived_cl392, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ X0 @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ first_movers @ X0) = (zero))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ X0) @ zero)
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl343, zip_derived_cl391])).
% 3.95/1.14 thf(zip_derived_cl739, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ first_movers @ (sk4 @ X0)) = (zero))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ (sk4 @ X0)) @ zero)
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0)))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl415, zip_derived_cl392])).
% 3.95/1.14 thf(zip_derived_cl740, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ (sk4 @ X0)) @ zero)
% 3.95/1.14 | ((growth_rate @ first_movers @ (sk4 @ X0)) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl343, zip_derived_cl739])).
% 3.95/1.14 thf(zip_derived_cl742, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ first_movers @ (sk4 @ X0)) = (zero))
% 3.95/1.14 | (greater @ (growth_rate @ first_movers @ (sk4 @ X0)) @ zero)
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl740])).
% 3.95/1.14 thf(zip_derived_cl343, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl240])).
% 3.95/1.14 thf(zip_derived_cl385, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ X0) != (X1))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater_or_equal @ X1 @ (sk1 @ sk3))
% 3.95/1.14 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 3.95/1.14 (growth_rate @ first_movers @ X1)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl258])).
% 3.95/1.14 thf(zip_derived_cl386, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 3.95/1.14 (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl343, zip_derived_cl385])).
% 3.95/1.14 thf(zip_derived_cl0, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.95/1.14 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_transitivity_22])).
% 3.95/1.14 thf(zip_derived_cl398, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ (sk1 @ sk3)) != (X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | (greater @ (growth_rate @ efficient_producers @ X0) @ X1)
% 3.95/1.14 | ~ (greater @ (growth_rate @ first_movers @ X0) @ X1))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl386, zip_derived_cl0])).
% 3.95/1.14 thf(zip_derived_cl389, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ (growth_rate @ efficient_producers @ (sk4 @ X0)) @ zero)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0)))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl388])).
% 3.95/1.14 thf(zip_derived_cl407, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ (growth_rate @ first_movers @ (sk4 @ X0)) @ zero)
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0))))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl398, zip_derived_cl389])).
% 3.95/1.14 thf(zip_derived_cl764, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ((growth_rate @ first_movers @ (sk4 @ X0)) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0)))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl742, zip_derived_cl407])).
% 3.95/1.14 thf(zip_derived_cl773, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0)))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ first_movers @ (sk4 @ X0)) = (zero))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl764])).
% 3.95/1.14 thf(zip_derived_cl386, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 3.95/1.14 (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl343, zip_derived_cl385])).
% 3.95/1.14 thf(zip_derived_cl343, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl240])).
% 3.95/1.14 thf(zip_derived_cl540, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ X0) != (X1))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X1))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ efficient_producers @ X1))
% 3.95/1.14 | ((growth_rate @ efficient_producers @ X1) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ X1 @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl254])).
% 3.95/1.14 thf(zip_derived_cl541, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ X0 @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ efficient_producers @ X0) = (zero))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ efficient_producers @ X0))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl343, zip_derived_cl540])).
% 3.95/1.14 thf(zip_derived_cl0, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.95/1.14 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_transitivity_22])).
% 3.95/1.14 thf(zip_derived_cl652, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ (sk1 @ sk3)) != (X0))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ((growth_rate @ efficient_producers @ X0) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (equilibrium @ sk3))
% 3.95/1.14 | (greater @ zero @ X1)
% 3.95/1.14 | ~ (greater @ (growth_rate @ efficient_producers @ X0) @ X1))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl541, zip_derived_cl0])).
% 3.95/1.14 thf(zip_derived_cl791, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (((sk4 @ (sk1 @ sk3)) != (X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ efficient_producers @ X0) = (zero))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl386, zip_derived_cl652])).
% 3.95/1.14 thf(zip_derived_cl805, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (((growth_rate @ efficient_producers @ X0) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (equilibrium @ sk3))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (X0)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl791])).
% 3.95/1.14 thf(zip_derived_cl386, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 3.95/1.14 (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl343, zip_derived_cl385])).
% 3.95/1.14 thf(zip_derived_cl831, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (greater @ zero @ (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl805, zip_derived_cl386])).
% 3.95/1.14 thf(zip_derived_cl854, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ X0 @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (X0))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X0)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl831])).
% 3.95/1.14 thf(zip_derived_cl1512, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ((growth_rate @ first_movers @ (sk4 @ X0)) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl773, zip_derived_cl854])).
% 3.95/1.14 thf(zip_derived_cl1513, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((growth_rate @ first_movers @ (sk4 @ X0)) = (zero))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl343, zip_derived_cl1512])).
% 3.95/1.14 thf(zip_derived_cl1515, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (((growth_rate @ first_movers @ (sk4 @ X0)) = (zero))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1513])).
% 3.95/1.14 thf(zip_derived_cl386, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (greater @ (growth_rate @ efficient_producers @ X0) @
% 3.95/1.14 (growth_rate @ first_movers @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl343, zip_derived_cl385])).
% 3.95/1.14 thf(zip_derived_cl1518, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (greater @ (growth_rate @ efficient_producers @ (sk4 @ X0)) @ zero)
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl1515, zip_derived_cl386])).
% 3.95/1.14 thf(zip_derived_cl1534, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | (greater @ (growth_rate @ efficient_producers @ (sk4 @ X0)) @ zero))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1518])).
% 3.95/1.14 thf(zip_derived_cl389, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ (growth_rate @ efficient_producers @ (sk4 @ X0)) @ zero)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0)))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl388])).
% 3.95/1.14 thf(zip_derived_cl1605, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0))))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl1534, zip_derived_cl389])).
% 3.95/1.14 thf(zip_derived_cl1625, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ zero @ (growth_rate @ first_movers @ (sk4 @ X0)))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1605])).
% 3.95/1.14 thf(zip_derived_cl854, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ X0 @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (greater_or_equal @ X0 @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (X0))
% 3.95/1.14 | (greater @ zero @ (growth_rate @ first_movers @ X0)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl831])).
% 3.95/1.14 thf(zip_derived_cl1626, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl1625, zip_derived_cl854])).
% 3.95/1.14 thf(zip_derived_cl1628, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ X0) != (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1626])).
% 3.95/1.14 thf(zip_derived_cl1630, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ X0) != (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk1 @ sk3))
% 3.95/1.14 | ~ (greater_or_equal @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk1 @ sk3)))),
% 3.95/1.14 inference('local_rewriting', [status(thm)], [zip_derived_cl1628])).
% 3.95/1.14 thf(zip_derived_cl1655, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X1) != (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X0) != (sk1 @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1630])).
% 3.95/1.14 thf(zip_derived_cl343, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl240])).
% 3.95/1.14 thf(zip_derived_cl3, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_or_equal_25])).
% 3.95/1.14 thf(zip_derived_cl23, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (greater_or_equal @ (sk4 @ X0) @ X0) | ~ (in_environment @ sk3 @ X0))),
% 3.95/1.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.95/1.14 thf(zip_derived_cl1626, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl1625, zip_derived_cl854])).
% 3.95/1.14 thf(zip_derived_cl1629, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (in_environment @ sk3 @ (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X0) != (sk4 @ (sk1 @ sk3)))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ (sk1 @ sk3)) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ (sk1 @ sk3))))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl1626])).
% 3.95/1.14 thf(zip_derived_cl343, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl240])).
% 3.95/1.14 thf(zip_derived_cl343, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl240])).
% 3.95/1.14 thf(zip_derived_cl1631, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X0) != (sk4 @ (sk1 @ sk3)))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ (sk1 @ sk3)) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ (sk1 @ sk3))))),
% 3.95/1.14 inference('demod', [status(thm)],
% 3.95/1.14 [zip_derived_cl1629, zip_derived_cl343, zip_derived_cl343])).
% 3.95/1.14 thf(zip_derived_cl1632, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ (sk4 @ (sk1 @ sk3)) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ X0) != (sk4 @ (sk1 @ sk3)))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1631])).
% 3.95/1.14 thf(zip_derived_cl1633, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater @ (sk4 @ (sk1 @ sk3)) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X0) != (sk4 @ (sk1 @ sk3))))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1632])).
% 3.95/1.14 thf(zip_derived_cl1644, plain,
% 3.95/1.14 ((((sk4 @ (sk1 @ sk3)) != (sk4 @ (sk1 @ sk3)))
% 3.95/1.14 | ~ (greater @ (sk4 @ (sk1 @ sk3)) @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl343, zip_derived_cl1633])).
% 3.95/1.14 thf(zip_derived_cl1646, plain,
% 3.95/1.14 (~ (greater @ (sk4 @ (sk1 @ sk3)) @ (equilibrium @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1644])).
% 3.95/1.14 thf(zip_derived_cl351, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (((sk4 @ X0) = (X0))
% 3.95/1.14 | (greater @ (sk4 @ X0) @ X0)
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl23])).
% 3.95/1.14 thf(zip_derived_cl343, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl240])).
% 3.95/1.14 thf(zip_derived_cl356, plain,
% 3.95/1.14 (( (greater @ (sk4 @ (sk1 @ sk3)) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl351, zip_derived_cl343])).
% 3.95/1.14 thf(zip_derived_cl0, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.95/1.14 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_transitivity_22])).
% 3.95/1.14 thf(zip_derived_cl365, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3))
% 3.95/1.14 | (greater @ (sk4 @ (sk1 @ sk3)) @ X0)
% 3.95/1.14 | ~ (greater @ (sk1 @ sk3) @ X0))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl356, zip_derived_cl0])).
% 3.95/1.14 thf(zip_derived_cl1653, plain,
% 3.95/1.14 ((~ (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl1646, zip_derived_cl365])).
% 3.95/1.14 thf(zip_derived_cl1678, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ X0) != (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl1655, zip_derived_cl1653])).
% 3.95/1.14 thf(zip_derived_cl1681, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X0) != (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ X0) != (sk1 @ sk3)))),
% 3.95/1.14 inference('eq_fact', [status(thm)], [zip_derived_cl1678])).
% 3.95/1.14 thf(zip_derived_cl1682, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (((sk4 @ X0) != (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1681])).
% 3.95/1.14 thf(zip_derived_cl343, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl240])).
% 3.95/1.14 thf(zip_derived_cl1683, plain,
% 3.95/1.14 ((~ (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk1 @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl1682, zip_derived_cl343])).
% 3.95/1.14 thf(zip_derived_cl1653, plain,
% 3.95/1.14 ((~ (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) = (sk1 @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl1646, zip_derived_cl365])).
% 3.95/1.14 thf(zip_derived_cl1687, plain,
% 3.95/1.14 (~ (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl1683, zip_derived_cl1653])).
% 3.95/1.14 thf(zip_derived_cl2075, plain,
% 3.95/1.14 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3)))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl2069, zip_derived_cl1687])).
% 3.95/1.14 thf(zip_derived_cl2075, plain,
% 3.95/1.14 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) = (sk2 @ sk3)))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl2069, zip_derived_cl1687])).
% 3.95/1.14 thf(zip_derived_cl1957, plain,
% 3.95/1.14 ((~ (greater @ (sk4 @ (sk2 @ sk3)) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (greater @ (sk4 @ (sk2 @ sk3)) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1955])).
% 3.95/1.14 thf(zip_derived_cl2104, plain,
% 3.95/1.14 ((~ (greater @ (sk2 @ sk3) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | ~ (greater @ (sk4 @ (sk2 @ sk3)) @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl2075, zip_derived_cl1957])).
% 3.95/1.14 thf(zip_derived_cl2163, plain,
% 3.95/1.14 ((~ (greater @ (sk2 @ sk3) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | ~ (greater @ (sk2 @ sk3) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl2075, zip_derived_cl2104])).
% 3.95/1.14 thf(zip_derived_cl2167, plain,
% 3.95/1.14 ((~ (greater @ (sk2 @ sk3) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | ~ (greater @ (sk2 @ sk3) @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl2163])).
% 3.95/1.14 thf(zip_derived_cl350, plain,
% 3.95/1.14 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | (greater @ (sk2 @ sk3) @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl345])).
% 3.95/1.14 thf(zip_derived_cl2171, plain,
% 3.95/1.14 ((((sk2 @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | ~ (greater @ (sk2 @ sk3) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl2167, zip_derived_cl350])).
% 3.95/1.14 thf(zip_derived_cl2177, plain,
% 3.95/1.14 (( (greater @ (sk1 @ sk3) @ (sk2 @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl372, zip_derived_cl2171])).
% 3.95/1.14 thf(zip_derived_cl2180, plain,
% 3.95/1.14 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl2177])).
% 3.95/1.14 thf(zip_derived_cl0, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.95/1.14 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_transitivity_22])).
% 3.95/1.14 thf(zip_derived_cl2184, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (((sk2 @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | (greater @ (sk1 @ sk3) @ X0)
% 3.95/1.14 | ~ (greater @ (sk2 @ sk3) @ X0))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl2180, zip_derived_cl0])).
% 3.95/1.14 thf(zip_derived_cl2220, plain,
% 3.95/1.14 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl350, zip_derived_cl2184])).
% 3.95/1.14 thf(zip_derived_cl2224, plain,
% 3.95/1.14 ((((sk2 @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl2220])).
% 3.95/1.14 thf(zip_derived_cl1687, plain,
% 3.95/1.14 (~ (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl1683, zip_derived_cl1653])).
% 3.95/1.14 thf(zip_derived_cl2244, plain,
% 3.95/1.14 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl2224, zip_derived_cl1687])).
% 3.95/1.14 thf(zip_derived_cl350, plain,
% 3.95/1.14 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | (greater @ (sk2 @ sk3) @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl345])).
% 3.95/1.14 thf(zip_derived_cl2247, plain,
% 3.95/1.14 (( (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl2244, zip_derived_cl350])).
% 3.95/1.14 thf(zip_derived_cl2264, plain,
% 3.95/1.14 ((((sk2 @ sk3) = (equilibrium @ sk3))
% 3.95/1.14 | (greater @ (sk1 @ sk3) @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl2247])).
% 3.95/1.14 thf(zip_derived_cl1687, plain,
% 3.95/1.14 (~ (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl1683, zip_derived_cl1653])).
% 3.95/1.14 thf(zip_derived_cl2358, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl2264, zip_derived_cl1687])).
% 3.95/1.14 thf(zip_derived_cl2358, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl2264, zip_derived_cl1687])).
% 3.95/1.14 thf(zip_derived_cl2358, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl2264, zip_derived_cl1687])).
% 3.95/1.14 thf(zip_derived_cl2358, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl2264, zip_derived_cl1687])).
% 3.95/1.14 thf(zip_derived_cl2361, plain,
% 3.95/1.14 (( (greater @ (sk4 @ (equilibrium @ sk3)) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (equilibrium @ sk3)) = (equilibrium @ sk3)))),
% 3.95/1.14 inference('demod', [status(thm)],
% 3.95/1.14 [zip_derived_cl357, zip_derived_cl2358, zip_derived_cl2358,
% 3.95/1.14 zip_derived_cl2358, zip_derived_cl2358])).
% 3.95/1.14 thf(zip_derived_cl372, plain,
% 3.95/1.14 (( (greater @ (sk2 @ sk3) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | (greater @ (sk1 @ sk3) @ (sk2 @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl360, zip_derived_cl344])).
% 3.95/1.14 thf(zip_derived_cl2358, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl2264, zip_derived_cl1687])).
% 3.95/1.14 thf(zip_derived_cl2358, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl2264, zip_derived_cl1687])).
% 3.95/1.14 thf(zip_derived_cl2358, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl2264, zip_derived_cl1687])).
% 3.95/1.14 thf(zip_derived_cl1687, plain,
% 3.95/1.14 (~ (greater @ (sk1 @ sk3) @ (equilibrium @ sk3))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl1683, zip_derived_cl1653])).
% 3.95/1.14 thf(zip_derived_cl2365, plain,
% 3.95/1.14 (( (greater @ (equilibrium @ sk3) @ (sk1 @ sk3))
% 3.95/1.14 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 3.95/1.14 inference('demod', [status(thm)],
% 3.95/1.14 [zip_derived_cl372, zip_derived_cl2358, zip_derived_cl2358,
% 3.95/1.14 zip_derived_cl2358, zip_derived_cl1687])).
% 3.95/1.14 thf(zip_derived_cl344, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl243])).
% 3.95/1.14 thf(zip_derived_cl4, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | (greater_or_equal @ X1 @ X0))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_or_equal_26])).
% 3.95/1.14 thf(zip_derived_cl1890, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1889])).
% 3.95/1.14 thf(zip_derived_cl1923, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ X0) != (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ~ (greater @ (sk4 @ X0) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1890])).
% 3.95/1.14 thf(zip_derived_cl1925, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ X0) != (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X1) != (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ~ (greater @ (equilibrium @ sk3) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('local_rewriting', [status(thm)], [zip_derived_cl1923])).
% 3.95/1.14 thf(zip_derived_cl1931, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater @ (equilibrium @ sk3) @ (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X0) != (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ X0) != (equilibrium @ sk3)))),
% 3.95/1.14 inference('eq_fact', [status(thm)], [zip_derived_cl1925])).
% 3.95/1.14 thf(zip_derived_cl1932, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (((sk4 @ (sk2 @ sk3)) != (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ X0) != (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater @ (equilibrium @ sk3) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1931])).
% 3.95/1.14 thf(zip_derived_cl1937, plain,
% 3.95/1.14 ((~ (greater @ (equilibrium @ sk3) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (equilibrium @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl344, zip_derived_cl1932])).
% 3.95/1.14 thf(zip_derived_cl1938, plain,
% 3.95/1.14 ((((sk4 @ (sk2 @ sk3)) != (equilibrium @ sk3))
% 3.95/1.14 | ~ (greater @ (equilibrium @ sk3) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1937])).
% 3.95/1.14 thf(zip_derived_cl2358, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl2264, zip_derived_cl1687])).
% 3.95/1.14 thf(zip_derived_cl2402, plain,
% 3.95/1.14 ((((sk4 @ (equilibrium @ sk3)) != (equilibrium @ sk3))
% 3.95/1.14 | ~ (greater @ (equilibrium @ sk3) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('demod', [status(thm)],
% 3.95/1.14 [zip_derived_cl1938, zip_derived_cl2358])).
% 3.95/1.14 thf(zip_derived_cl2440, plain,
% 3.95/1.14 ((((equilibrium @ sk3) = (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (equilibrium @ sk3)) != (equilibrium @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl2365, zip_derived_cl2402])).
% 3.95/1.14 thf(zip_derived_cl343, plain, ( (in_environment @ sk3 @ (sk1 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl240])).
% 3.95/1.14 thf(zip_derived_cl4, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]: (((X1) != (X0)) | (greater_or_equal @ X1 @ X0))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_or_equal_26])).
% 3.95/1.14 thf(zip_derived_cl1630, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk4 @ X0) != (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk1 @ sk3))
% 3.95/1.14 | ~ (greater_or_equal @ (sk1 @ sk3) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk1 @ sk3)))),
% 3.95/1.14 inference('local_rewriting', [status(thm)], [zip_derived_cl1628])).
% 3.95/1.14 thf(zip_derived_cl1656, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk1 @ sk3) != (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X1) != (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X0) != (sk1 @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1630])).
% 3.95/1.14 thf(zip_derived_cl1657, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (((sk1 @ sk3) != (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (equilibrium @ sk3)) != (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X1) != (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X0) != (equilibrium @ sk3)))),
% 3.95/1.14 inference('local_rewriting', [status(thm)], [zip_derived_cl1656])).
% 3.95/1.14 thf(zip_derived_cl1660, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (((sk4 @ X0) != (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X0) != (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (equilibrium @ sk3)) != (equilibrium @ sk3))
% 3.95/1.14 | ((sk1 @ sk3) != (equilibrium @ sk3)))),
% 3.95/1.14 inference('eq_fact', [status(thm)], [zip_derived_cl1657])).
% 3.95/1.14 thf(zip_derived_cl1661, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (((sk1 @ sk3) != (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (equilibrium @ sk3)) != (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X0) != (equilibrium @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1660])).
% 3.95/1.14 thf(zip_derived_cl1666, plain,
% 3.95/1.14 ((((sk4 @ (sk1 @ sk3)) != (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (equilibrium @ sk3)) != (equilibrium @ sk3))
% 3.95/1.14 | ((sk1 @ sk3) != (equilibrium @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl343, zip_derived_cl1661])).
% 3.95/1.14 thf(zip_derived_cl1668, plain,
% 3.95/1.14 ((((equilibrium @ sk3) != (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (equilibrium @ sk3)) != (equilibrium @ sk3))
% 3.95/1.14 | ((sk1 @ sk3) != (equilibrium @ sk3)))),
% 3.95/1.14 inference('local_rewriting', [status(thm)], [zip_derived_cl1666])).
% 3.95/1.14 thf(zip_derived_cl1669, plain,
% 3.95/1.14 ((((sk1 @ sk3) != (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (equilibrium @ sk3)) != (equilibrium @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1668])).
% 3.95/1.14 thf(zip_derived_cl2442, plain,
% 3.95/1.14 (((sk4 @ (equilibrium @ sk3)) != (equilibrium @ sk3))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl2440, zip_derived_cl1669])).
% 3.95/1.14 thf(zip_derived_cl2456, plain,
% 3.95/1.14 ( (greater @ (sk4 @ (equilibrium @ sk3)) @ (equilibrium @ sk3))),
% 3.95/1.14 inference('simplify_reflect-', [status(thm)],
% 3.95/1.14 [zip_derived_cl2361, zip_derived_cl2442])).
% 3.95/1.14 thf(zip_derived_cl0, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.95/1.14 (~ (greater @ X0 @ X1) | ~ (greater @ X1 @ X2) | (greater @ X0 @ X2))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_transitivity_22])).
% 3.95/1.14 thf(zip_derived_cl2458, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (greater @ (sk4 @ (equilibrium @ sk3)) @ X0)
% 3.95/1.14 | ~ (greater @ (equilibrium @ sk3) @ X0))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl2456, zip_derived_cl0])).
% 3.95/1.14 thf(zip_derived_cl23, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 ( (greater_or_equal @ (sk4 @ X0) @ X0) | ~ (in_environment @ sk3 @ X0))),
% 3.95/1.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.95/1.14 thf(zip_derived_cl1890, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1889])).
% 3.95/1.14 thf(zip_derived_cl1924, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (in_environment @ sk3 @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ (equilibrium @ sk3)))
% 3.95/1.14 | ~ (in_environment @ sk3 @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ X0) != (sk4 @ (equilibrium @ sk3)))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater @ (sk4 @ (equilibrium @ sk3)) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl1890])).
% 3.95/1.14 thf(zip_derived_cl1926, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater @ (sk4 @ (equilibrium @ sk3)) @ (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X0) != (sk4 @ (equilibrium @ sk3)))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ (equilibrium @ sk3)))
% 3.95/1.14 | ~ (in_environment @ sk3 @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1924])).
% 3.95/1.14 thf(zip_derived_cl1927, plain,
% 3.95/1.14 ((((sk4 @ (sk2 @ sk3)) != (sk4 @ (equilibrium @ sk3)))
% 3.95/1.14 | ((sk4 @ (equilibrium @ sk3)) != (sk4 @ (equilibrium @ sk3)))
% 3.95/1.14 | ~ (in_environment @ sk3 @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (greater @ (sk4 @ (equilibrium @ sk3)) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('eq_fact', [status(thm)], [zip_derived_cl1926])).
% 3.95/1.14 thf(zip_derived_cl1928, plain,
% 3.95/1.14 ((~ (greater @ (sk4 @ (equilibrium @ sk3)) @ (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk2 @ sk3)) != (sk4 @ (equilibrium @ sk3))))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1927])).
% 3.95/1.14 thf(zip_derived_cl2358, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl2264, zip_derived_cl1687])).
% 3.95/1.14 thf(zip_derived_cl2400, plain,
% 3.95/1.14 ((~ (greater @ (sk4 @ (equilibrium @ sk3)) @ (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (equilibrium @ sk3)) != (sk4 @ (equilibrium @ sk3))))),
% 3.95/1.14 inference('demod', [status(thm)],
% 3.95/1.14 [zip_derived_cl1928, zip_derived_cl2358])).
% 3.95/1.14 thf(zip_derived_cl2401, plain,
% 3.95/1.14 ((~ (in_environment @ sk3 @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (greater @ (sk4 @ (equilibrium @ sk3)) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl2400])).
% 3.95/1.14 thf(zip_derived_cl344, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl243])).
% 3.95/1.14 thf(zip_derived_cl2358, plain, (((sk2 @ sk3) = (equilibrium @ sk3))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl2264, zip_derived_cl1687])).
% 3.95/1.14 thf(zip_derived_cl2359, plain,
% 3.95/1.14 ( (in_environment @ sk3 @ (equilibrium @ sk3))),
% 3.95/1.14 inference('demod', [status(thm)], [zip_derived_cl344, zip_derived_cl2358])).
% 3.95/1.14 thf(zip_derived_cl2413, plain,
% 3.95/1.14 (~ (greater @ (sk4 @ (equilibrium @ sk3)) @ (sk1 @ sk3))),
% 3.95/1.14 inference('demod', [status(thm)],
% 3.95/1.14 [zip_derived_cl2401, zip_derived_cl2359])).
% 3.95/1.14 thf(zip_derived_cl2467, plain,
% 3.95/1.14 (~ (greater @ (equilibrium @ sk3) @ (sk1 @ sk3))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl2458, zip_derived_cl2413])).
% 3.95/1.14 thf(zip_derived_cl2365, plain,
% 3.95/1.14 (( (greater @ (equilibrium @ sk3) @ (sk1 @ sk3))
% 3.95/1.14 | ((equilibrium @ sk3) = (sk1 @ sk3)))),
% 3.95/1.14 inference('demod', [status(thm)],
% 3.95/1.14 [zip_derived_cl372, zip_derived_cl2358, zip_derived_cl2358,
% 3.95/1.14 zip_derived_cl2358, zip_derived_cl1687])).
% 3.95/1.14 thf(zip_derived_cl3, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_or_equal_25])).
% 3.95/1.14 thf(zip_derived_cl3, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ X0 @ X1) | (greater_or_equal @ X0 @ X1))),
% 3.95/1.14 inference('cnf', [status(esa)], [mp_greater_or_equal_25])).
% 3.95/1.14 thf(zip_derived_cl1626, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater_or_equal @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl1625, zip_derived_cl854])).
% 3.95/1.14 thf(zip_derived_cl1627, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater_or_equal @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1626])).
% 3.95/1.14 thf(zip_derived_cl1688, plain,
% 3.95/1.14 (![X0 : $i, X1 : $i]:
% 3.95/1.14 (~ (greater @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X1) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X1)
% 3.95/1.14 | ~ (greater @ (sk4 @ X0) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl1627])).
% 3.95/1.14 thf(zip_derived_cl1702, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater @ (sk4 @ X0) @ (sk1 @ sk3))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ((sk4 @ X0) != (sk4 @ X0))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (greater @ (sk4 @ X0) @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('eq_fact', [status(thm)], [zip_derived_cl1688])).
% 3.95/1.14 thf(zip_derived_cl1703, plain,
% 3.95/1.14 (![X0 : $i]:
% 3.95/1.14 (~ (greater @ (sk4 @ X0) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ X0))
% 3.95/1.14 | ~ (in_environment @ sk3 @ X0)
% 3.95/1.14 | ~ (greater @ (sk4 @ X0) @ (sk1 @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl1702])).
% 3.95/1.14 thf(zip_derived_cl2244, plain,
% 3.95/1.14 ((((sk2 @ sk3) = (equilibrium @ sk3)) | ((sk2 @ sk3) = (sk1 @ sk3)))),
% 3.95/1.14 inference('clc', [status(thm)], [zip_derived_cl2224, zip_derived_cl1687])).
% 3.95/1.14 thf(zip_derived_cl2263, plain,
% 3.95/1.14 ((((sk1 @ sk3) != (equilibrium @ sk3))
% 3.95/1.14 | ((sk2 @ sk3) = (equilibrium @ sk3)))),
% 3.95/1.14 inference('eq_fact', [status(thm)], [zip_derived_cl2244])).
% 3.95/1.14 thf(zip_derived_cl344, plain, ( (in_environment @ sk3 @ (sk2 @ sk3))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl243])).
% 3.95/1.14 thf(zip_derived_cl2270, plain,
% 3.95/1.14 (( (in_environment @ sk3 @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk1 @ sk3) != (equilibrium @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl2263, zip_derived_cl344])).
% 3.95/1.14 thf(zip_derived_cl2320, plain,
% 3.95/1.14 ((~ (greater @ (sk4 @ (equilibrium @ sk3)) @ (sk1 @ sk3))
% 3.95/1.14 | ((sk4 @ (sk1 @ sk3)) != (sk4 @ (equilibrium @ sk3)))
% 3.95/1.14 | ~ (greater @ (sk4 @ (equilibrium @ sk3)) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk1 @ sk3) != (equilibrium @ sk3)))),
% 3.95/1.14 inference('sup+', [status(thm)], [zip_derived_cl1703, zip_derived_cl2270])).
% 3.95/1.14 thf(zip_derived_cl2326, plain,
% 3.95/1.14 ((((sk4 @ (equilibrium @ sk3)) != (sk4 @ (equilibrium @ sk3)))
% 3.95/1.14 | ~ (greater @ (sk4 @ (equilibrium @ sk3)) @ (equilibrium @ sk3))
% 3.95/1.14 | ((sk1 @ sk3) != (equilibrium @ sk3)))),
% 3.95/1.14 inference('local_rewriting', [status(thm)], [zip_derived_cl2320])).
% 3.95/1.14 thf(zip_derived_cl2327, plain,
% 3.95/1.14 ((((sk1 @ sk3) != (equilibrium @ sk3))
% 3.95/1.14 | ~ (greater @ (sk4 @ (equilibrium @ sk3)) @ (equilibrium @ sk3)))),
% 3.95/1.14 inference('simplify', [status(thm)], [zip_derived_cl2326])).
% 3.95/1.14 thf(zip_derived_cl2456, plain,
% 3.95/1.14 ( (greater @ (sk4 @ (equilibrium @ sk3)) @ (equilibrium @ sk3))),
% 3.95/1.14 inference('simplify_reflect-', [status(thm)],
% 3.95/1.14 [zip_derived_cl2361, zip_derived_cl2442])).
% 3.95/1.14 thf(zip_derived_cl2457, plain, (((sk1 @ sk3) != (equilibrium @ sk3))),
% 3.95/1.14 inference('demod', [status(thm)],
% 3.95/1.14 [zip_derived_cl2327, zip_derived_cl2456])).
% 3.95/1.14 thf(zip_derived_cl2469, plain,
% 3.95/1.14 ( (greater @ (equilibrium @ sk3) @ (sk1 @ sk3))),
% 3.95/1.14 inference('simplify_reflect-', [status(thm)],
% 3.95/1.14 [zip_derived_cl2365, zip_derived_cl2457])).
% 3.95/1.14 thf(zip_derived_cl2470, plain, ($false),
% 3.95/1.14 inference('demod', [status(thm)],
% 3.95/1.14 [zip_derived_cl2467, zip_derived_cl2469])).
% 3.95/1.14
% 3.95/1.14 % SZS output end Refutation
% 3.95/1.14
% 3.95/1.14
% 3.95/1.14 % Terminating...
% 3.95/1.19 % Runner terminated.
% 3.95/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------