%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : MGT023-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SKbSrN5hho true
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 8 06:24:48 AM UTC 2026
% Result : Unsatisfiable 0.48s 0.77s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT023-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SKbSrN5hho true
% 0.12/0.37 % Computer : n005.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 7 12:07:05 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 % Running portfolio for 300 s
% 0.12/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Number of cores: 8
% 0.12/0.38 % Python version: Python 3.12.3
% 0.12/0.38 % Running in FO mode
% 0.46/0.66 % Total configuration time : 435
% 0.46/0.66 % Estimated wc time : 1092
% 0.46/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.77 % Solved by fo/fo6_bce.sh.
% 0.48/0.77 % BCE start: 9
% 0.48/0.77 % BCE eliminated: 0
% 0.48/0.77 % PE start: 9
% 0.48/0.77 logic: eq
% 0.48/0.77 % PE eliminated: 3
% 0.48/0.77 % done 6 iterations in 0.010s
% 0.48/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.48/0.77 % SZS output start Refutation
% 0.48/0.77 thf(stable_type, type, stable: $i > $o).
% 0.48/0.77 thf(sk1_type, type, sk1: $i > $i > $i).
% 0.48/0.77 thf(greater_type, type, greater: $i > $i > $o).
% 0.48/0.77 thf(first_movers_type, type, first_movers: $i).
% 0.48/0.77 thf(environment_type, type, environment: $i > $o).
% 0.48/0.77 thf(sk2_type, type, sk2: $i > $i).
% 0.48/0.77 thf(subpopulations_type, type, subpopulations: $i > $i > $i > $i > $o).
% 0.48/0.77 thf(in_environment_type, type, in_environment: $i > $i > $o).
% 0.48/0.77 thf(sk3_type, type, sk3: $i).
% 0.48/0.77 thf(growth_rate_type, type, growth_rate: $i > $i > $i).
% 0.48/0.77 thf(critical_point_type, type, critical_point: $i > $i).
% 0.48/0.77 thf(efficient_producers_type, type, efficient_producers: $i).
% 0.48/0.77 thf(prove_l5_24, conjecture, (~( stable @ sk3 ))).
% 0.48/0.77 thf(zf_stmt_0, negated_conjecture, (stable @ sk3),
% 0.48/0.77 inference('cnf.neg', [status(esa)], [prove_l5_24])).
% 0.48/0.77 thf(zip_derived_cl7, plain, ( (stable @ sk3)),
% 0.48/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.48/0.77 thf(l12_20, axiom,
% 0.48/0.77 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.48/0.77 ( in_environment @ A @ ( sk2 @ A ) ))).
% 0.48/0.77 thf(zip_derived_cl3, plain,
% 0.48/0.77 (![X0 : $i]:
% 0.48/0.77 (~ (environment @ X0)
% 0.48/0.77 | ~ (stable @ X0)
% 0.48/0.77 | (in_environment @ X0 @ (sk2 @ X0)))),
% 0.48/0.77 inference('cnf', [status(esa)], [l12_20])).
% 0.48/0.77 thf(zip_derived_cl64, plain,
% 0.48/0.77 (( (in_environment @ sk3 @ (sk2 @ sk3)) | ~ (environment @ sk3))),
% 0.48/0.77 inference('dp-resolution', [status(thm)],
% 0.48/0.77 [zip_derived_cl7, zip_derived_cl3])).
% 0.48/0.77 thf(d1_19, axiom,
% 0.48/0.77 (( ~( environment @ A ) ) |
% 0.48/0.77 ( greater @
% 0.48/0.77 ( growth_rate @ efficient_producers @ B ) @
% 0.48/0.77 ( growth_rate @ first_movers @ B ) ) |
% 0.48/0.77 ( ~( in_environment @ A @ B ) ) |
% 0.48/0.77 ( ~( greater @
% 0.48/0.77 ( growth_rate @ efficient_producers @ ( sk1 @ B @ A ) ) @
% 0.48/0.77 ( growth_rate @ first_movers @ ( sk1 @ B @ A ) ) ) ) |
% 0.48/0.77 ( ( B ) = ( critical_point @ A ) ))).
% 0.48/0.77 thf(zip_derived_cl2, plain,
% 0.48/0.77 (![X0 : $i, X1 : $i]:
% 0.48/0.77 (~ (environment @ X0)
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.48/0.77 (growth_rate @ first_movers @ X1))
% 0.48/0.77 | ~ (in_environment @ X0 @ X1)
% 0.48/0.77 | ~ (greater @
% 0.48/0.77 (growth_rate @ efficient_producers @ (sk1 @ X1 @ X0)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk1 @ X1 @ X0)))
% 0.48/0.77 | ((X1) = (critical_point @ X0)))),
% 0.48/0.77 inference('cnf', [status(esa)], [d1_19])).
% 0.48/0.77 thf(zip_derived_cl68, plain,
% 0.48/0.77 ((~ (environment @ sk3)
% 0.48/0.77 | ((sk2 @ sk3) = (critical_point @ sk3))
% 0.48/0.77 | ~ (greater @
% 0.48/0.77 (growth_rate @ efficient_producers @ (sk1 @ (sk2 @ sk3) @ sk3)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk1 @ (sk2 @ sk3) @ sk3)))
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 0.48/0.77 | ~ (environment @ sk3))),
% 0.48/0.77 inference('dp-resolution', [status(thm)],
% 0.48/0.77 [zip_derived_cl64, zip_derived_cl2])).
% 0.48/0.77 thf(zip_derived_cl79, plain,
% 0.48/0.77 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 0.48/0.77 | ~ (greater @
% 0.48/0.77 (growth_rate @ efficient_producers @ (sk1 @ (sk2 @ sk3) @ sk3)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk1 @ (sk2 @ sk3) @ sk3)))
% 0.48/0.77 | ((sk2 @ sk3) = (critical_point @ sk3))
% 0.48/0.77 | ~ (environment @ sk3))),
% 0.48/0.77 inference('simplify', [status(thm)], [zip_derived_cl68])).
% 0.48/0.77 thf(zip_derived_cl7, plain, ( (stable @ sk3)),
% 0.48/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.48/0.77 thf(l12_21, axiom,
% 0.48/0.77 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.48/0.77 ( ~( greater @
% 0.48/0.77 ( growth_rate @ efficient_producers @ ( sk2 @ A ) ) @
% 0.48/0.77 ( growth_rate @ first_movers @ ( sk2 @ A ) ) ) ))).
% 0.48/0.77 thf(zip_derived_cl4, plain,
% 0.48/0.77 (![X0 : $i]:
% 0.48/0.77 (~ (environment @ X0)
% 0.48/0.77 | ~ (stable @ X0)
% 0.48/0.77 | ~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ X0)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk2 @ X0))))),
% 0.48/0.77 inference('cnf', [status(esa)], [l12_21])).
% 0.48/0.77 thf(zip_derived_cl65, plain,
% 0.48/0.77 ((~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 0.48/0.77 | ~ (environment @ sk3))),
% 0.48/0.77 inference('dp-resolution', [status(thm)],
% 0.48/0.77 [zip_derived_cl7, zip_derived_cl4])).
% 0.48/0.77 thf(prove_l5_23, conjecture, (~( environment @ sk3 ))).
% 0.48/0.77 thf(zf_stmt_1, negated_conjecture, (environment @ sk3),
% 0.48/0.77 inference('cnf.neg', [status(esa)], [prove_l5_23])).
% 0.48/0.77 thf(zip_derived_cl6, plain, ( (environment @ sk3)),
% 0.48/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.48/0.77 thf(zip_derived_cl75, plain,
% 0.48/0.77 (~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk2 @ sk3)))),
% 0.48/0.77 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl6])).
% 0.48/0.77 thf(zip_derived_cl6, plain, ( (environment @ sk3)),
% 0.48/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.48/0.77 thf(zip_derived_cl80, plain,
% 0.48/0.77 ((~ (greater @
% 0.48/0.77 (growth_rate @ efficient_producers @ (sk1 @ (sk2 @ sk3) @ sk3)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk1 @ (sk2 @ sk3) @ sk3)))
% 0.48/0.77 | ((sk2 @ sk3) = (critical_point @ sk3)))),
% 0.48/0.77 inference('demod', [status(thm)],
% 0.48/0.77 [zip_derived_cl79, zip_derived_cl75, zip_derived_cl6])).
% 0.48/0.77 thf(zip_derived_cl64, plain,
% 0.48/0.77 (( (in_environment @ sk3 @ (sk2 @ sk3)) | ~ (environment @ sk3))),
% 0.48/0.77 inference('dp-resolution', [status(thm)],
% 0.48/0.77 [zip_derived_cl7, zip_derived_cl3])).
% 0.48/0.77 thf(prove_l5_25, conjecture,
% 0.48/0.77 (in_environment @ sk3 @ ( critical_point @ sk3 ))).
% 0.48/0.77 thf(zf_stmt_2, negated_conjecture,
% 0.48/0.77 (~( in_environment @ sk3 @ ( critical_point @ sk3 ) )),
% 0.48/0.77 inference('cnf.neg', [status(esa)], [prove_l5_25])).
% 0.48/0.77 thf(zip_derived_cl8, plain,
% 0.48/0.77 (~ (in_environment @ sk3 @ (critical_point @ sk3))),
% 0.48/0.77 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.48/0.77 thf(zip_derived_cl71, plain,
% 0.48/0.77 ((((sk3) != (sk3))
% 0.48/0.77 | ((sk2 @ sk3) != (critical_point @ sk3))
% 0.48/0.77 | ~ (environment @ sk3))),
% 0.48/0.77 inference('dp-resolution', [status(thm)],
% 0.48/0.77 [zip_derived_cl64, zip_derived_cl8])).
% 0.48/0.77 thf(zip_derived_cl73, plain,
% 0.48/0.77 ((~ (environment @ sk3) | ((sk2 @ sk3) != (critical_point @ sk3)))),
% 0.48/0.77 inference('simplify', [status(thm)], [zip_derived_cl71])).
% 0.48/0.77 thf(zip_derived_cl6, plain, ( (environment @ sk3)),
% 0.48/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.48/0.77 thf(zip_derived_cl74, plain, (((sk2 @ sk3) != (critical_point @ sk3))),
% 0.48/0.77 inference('demod', [status(thm)], [zip_derived_cl73, zip_derived_cl6])).
% 0.48/0.77 thf(zip_derived_cl81, plain,
% 0.48/0.77 (~ (greater @
% 0.48/0.77 (growth_rate @ efficient_producers @ (sk1 @ (sk2 @ sk3) @ sk3)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk1 @ (sk2 @ sk3) @ sk3)))),
% 0.48/0.77 inference('simplify_reflect-', [status(thm)],
% 0.48/0.77 [zip_derived_cl80, zip_derived_cl74])).
% 0.48/0.77 thf(zip_derived_cl64, plain,
% 0.48/0.77 (( (in_environment @ sk3 @ (sk2 @ sk3)) | ~ (environment @ sk3))),
% 0.48/0.77 inference('dp-resolution', [status(thm)],
% 0.48/0.77 [zip_derived_cl7, zip_derived_cl3])).
% 0.48/0.77 thf(d1_18, axiom,
% 0.48/0.77 (( ~( environment @ A ) ) |
% 0.48/0.77 ( greater @
% 0.48/0.77 ( growth_rate @ efficient_producers @ B ) @
% 0.48/0.77 ( growth_rate @ first_movers @ B ) ) |
% 0.48/0.77 ( ~( in_environment @ A @ B ) ) | ( greater @ ( sk1 @ B @ A ) @ B ) |
% 0.48/0.77 ( ( B ) = ( critical_point @ A ) ))).
% 0.48/0.77 thf(zip_derived_cl1, plain,
% 0.48/0.77 (![X0 : $i, X1 : $i]:
% 0.48/0.77 (~ (environment @ X0)
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.48/0.77 (growth_rate @ first_movers @ X1))
% 0.48/0.77 | ~ (in_environment @ X0 @ X1)
% 0.48/0.77 | (greater @ (sk1 @ X1 @ X0) @ X1)
% 0.48/0.77 | ((X1) = (critical_point @ X0)))),
% 0.48/0.77 inference('cnf', [status(esa)], [d1_18])).
% 0.48/0.77 thf(zip_derived_cl67, plain,
% 0.48/0.77 ((~ (environment @ sk3)
% 0.48/0.77 | ((sk2 @ sk3) = (critical_point @ sk3))
% 0.48/0.77 | (greater @ (sk1 @ (sk2 @ sk3) @ sk3) @ (sk2 @ sk3))
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 0.48/0.77 | ~ (environment @ sk3))),
% 0.48/0.77 inference('dp-resolution', [status(thm)],
% 0.48/0.77 [zip_derived_cl64, zip_derived_cl1])).
% 0.48/0.77 thf(zip_derived_cl76, plain,
% 0.48/0.77 (( (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 0.48/0.77 | (greater @ (sk1 @ (sk2 @ sk3) @ sk3) @ (sk2 @ sk3))
% 0.48/0.77 | ((sk2 @ sk3) = (critical_point @ sk3))
% 0.48/0.77 | ~ (environment @ sk3))),
% 0.48/0.77 inference('simplify', [status(thm)], [zip_derived_cl67])).
% 0.48/0.77 thf(zip_derived_cl75, plain,
% 0.48/0.77 (~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk2 @ sk3)))),
% 0.48/0.77 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl6])).
% 0.48/0.77 thf(zip_derived_cl6, plain, ( (environment @ sk3)),
% 0.48/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.48/0.77 thf(zip_derived_cl77, plain,
% 0.48/0.77 (( (greater @ (sk1 @ (sk2 @ sk3) @ sk3) @ (sk2 @ sk3))
% 0.48/0.77 | ((sk2 @ sk3) = (critical_point @ sk3)))),
% 0.48/0.77 inference('demod', [status(thm)],
% 0.48/0.77 [zip_derived_cl76, zip_derived_cl75, zip_derived_cl6])).
% 0.48/0.77 thf(zip_derived_cl74, plain, (((sk2 @ sk3) != (critical_point @ sk3))),
% 0.48/0.77 inference('demod', [status(thm)], [zip_derived_cl73, zip_derived_cl6])).
% 0.48/0.77 thf(zip_derived_cl78, plain,
% 0.48/0.77 ( (greater @ (sk1 @ (sk2 @ sk3) @ sk3) @ (sk2 @ sk3))),
% 0.48/0.77 inference('simplify_reflect-', [status(thm)],
% 0.48/0.77 [zip_derived_cl77, zip_derived_cl74])).
% 0.48/0.77 thf(zip_derived_cl64, plain,
% 0.48/0.77 (( (in_environment @ sk3 @ (sk2 @ sk3)) | ~ (environment @ sk3))),
% 0.48/0.77 inference('dp-resolution', [status(thm)],
% 0.48/0.77 [zip_derived_cl7, zip_derived_cl3])).
% 0.48/0.77 thf(zip_derived_cl7, plain, ( (stable @ sk3)),
% 0.48/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.48/0.77 thf(d1_17, axiom,
% 0.48/0.77 (( ~( environment @ A ) ) |
% 0.48/0.77 ( greater @
% 0.48/0.77 ( growth_rate @ efficient_producers @ B ) @
% 0.48/0.77 ( growth_rate @ first_movers @ B ) ) |
% 0.48/0.77 ( ~( in_environment @ A @ B ) ) |
% 0.48/0.77 ( subpopulations @
% 0.48/0.77 first_movers @ efficient_producers @ A @ ( sk1 @ B @ A ) ) |
% 0.48/0.77 ( ( B ) = ( critical_point @ A ) ))).
% 0.48/0.77 thf(zip_derived_cl0, plain,
% 0.48/0.77 (![X0 : $i, X1 : $i]:
% 0.48/0.77 (~ (environment @ X0)
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.48/0.77 (growth_rate @ first_movers @ X1))
% 0.48/0.77 | ~ (in_environment @ X0 @ X1)
% 0.48/0.77 | (subpopulations @ first_movers @ efficient_producers @ X0 @
% 0.48/0.77 (sk1 @ X1 @ X0))
% 0.48/0.77 | ((X1) = (critical_point @ X0)))),
% 0.48/0.77 inference('cnf', [status(esa)], [d1_17])).
% 0.48/0.77 thf(l12_22, axiom,
% 0.48/0.77 (( ~( environment @ A ) ) | ( ~( stable @ A ) ) |
% 0.48/0.77 ( ~( subpopulations @ first_movers @ efficient_producers @ A @ B ) ) |
% 0.48/0.77 ( ~( greater @ B @ ( sk2 @ A ) ) ) |
% 0.48/0.77 ( greater @
% 0.48/0.77 ( growth_rate @ efficient_producers @ B ) @
% 0.48/0.77 ( growth_rate @ first_movers @ B ) ))).
% 0.48/0.77 thf(zip_derived_cl5, plain,
% 0.48/0.77 (![X0 : $i, X1 : $i]:
% 0.48/0.77 (~ (environment @ X0)
% 0.48/0.77 | ~ (stable @ X0)
% 0.48/0.77 | ~ (subpopulations @ first_movers @ efficient_producers @ X0 @ X1)
% 0.48/0.77 | ~ (greater @ X1 @ (sk2 @ X0))
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.48/0.77 (growth_rate @ first_movers @ X1)))),
% 0.48/0.77 inference('cnf', [status(esa)], [l12_22])).
% 0.48/0.77 thf(zip_derived_cl63, plain,
% 0.48/0.77 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.48/0.77 (((first_movers) != (first_movers))
% 0.48/0.77 | ((efficient_producers) != (efficient_producers))
% 0.48/0.77 | ((X0) != (X2))
% 0.48/0.77 | ((sk1 @ X1 @ X0) != (X3))
% 0.48/0.77 | ((X1) = (critical_point @ X0))
% 0.48/0.77 | ~ (in_environment @ X0 @ X1)
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.48/0.77 (growth_rate @ first_movers @ X1))
% 0.48/0.77 | ~ (environment @ X0)
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ X3) @
% 0.48/0.77 (growth_rate @ first_movers @ X3))
% 0.48/0.77 | ~ (greater @ X3 @ (sk2 @ X2))
% 0.48/0.77 | ~ (stable @ X2)
% 0.48/0.77 | ~ (environment @ X2))),
% 0.48/0.77 inference('dp-resolution', [status(thm)],
% 0.48/0.77 [zip_derived_cl0, zip_derived_cl5])).
% 0.48/0.77 thf(zip_derived_cl66, plain,
% 0.48/0.77 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.48/0.77 (~ (environment @ sk3)
% 0.48/0.77 | ~ (greater @ X2 @ (sk2 @ sk3))
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ X2) @
% 0.48/0.77 (growth_rate @ first_movers @ X2))
% 0.48/0.77 | ~ (environment @ X0)
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ X1) @
% 0.48/0.77 (growth_rate @ first_movers @ X1))
% 0.48/0.77 | ~ (in_environment @ X0 @ X1)
% 0.48/0.77 | ((X1) = (critical_point @ X0))
% 0.48/0.77 | ((sk1 @ X1 @ X0) != (X2))
% 0.48/0.77 | ((X0) != (sk3))
% 0.48/0.77 | ((efficient_producers) != (efficient_producers))
% 0.48/0.77 | ((first_movers) != (first_movers)))),
% 0.48/0.77 inference('dp-resolution', [status(thm)],
% 0.48/0.77 [zip_derived_cl7, zip_derived_cl63])).
% 0.48/0.77 thf(zip_derived_cl72, plain,
% 0.48/0.77 (![X0 : $i]:
% 0.48/0.77 (~ (environment @ sk3)
% 0.48/0.77 | ((first_movers) != (first_movers))
% 0.48/0.77 | ((efficient_producers) != (efficient_producers))
% 0.48/0.77 | ((sk3) != (sk3))
% 0.48/0.77 | ((sk1 @ (sk2 @ sk3) @ sk3) != (X0))
% 0.48/0.77 | ((sk2 @ sk3) = (critical_point @ sk3))
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 0.48/0.77 | ~ (environment @ sk3)
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.48/0.77 (growth_rate @ first_movers @ X0))
% 0.48/0.77 | ~ (greater @ X0 @ (sk2 @ sk3))
% 0.48/0.77 | ~ (environment @ sk3))),
% 0.48/0.77 inference('dp-resolution', [status(thm)],
% 0.48/0.77 [zip_derived_cl64, zip_derived_cl66])).
% 0.48/0.77 thf(zip_derived_cl82, plain,
% 0.48/0.77 (![X0 : $i]:
% 0.48/0.77 (~ (greater @ X0 @ (sk2 @ sk3))
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.48/0.77 (growth_rate @ first_movers @ X0))
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 0.48/0.77 | ((sk2 @ sk3) = (critical_point @ sk3))
% 0.48/0.77 | ((sk1 @ (sk2 @ sk3) @ sk3) != (X0))
% 0.48/0.77 | ~ (environment @ sk3))),
% 0.48/0.77 inference('simplify', [status(thm)], [zip_derived_cl72])).
% 0.48/0.77 thf(zip_derived_cl6, plain, ( (environment @ sk3)),
% 0.48/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.48/0.77 thf(zip_derived_cl83, plain,
% 0.48/0.77 (![X0 : $i]:
% 0.48/0.77 (~ (greater @ X0 @ (sk2 @ sk3))
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.48/0.77 (growth_rate @ first_movers @ X0))
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 0.48/0.77 | ((sk2 @ sk3) = (critical_point @ sk3))
% 0.48/0.77 | ((sk1 @ (sk2 @ sk3) @ sk3) != (X0)))),
% 0.48/0.77 inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl6])).
% 0.48/0.77 thf(zip_derived_cl74, plain, (((sk2 @ sk3) != (critical_point @ sk3))),
% 0.48/0.77 inference('demod', [status(thm)], [zip_derived_cl73, zip_derived_cl6])).
% 0.48/0.77 thf(zip_derived_cl84, plain,
% 0.48/0.77 (![X0 : $i]:
% 0.48/0.77 (~ (greater @ X0 @ (sk2 @ sk3))
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.48/0.77 (growth_rate @ first_movers @ X0))
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk2 @ sk3)))
% 0.48/0.77 | ((sk1 @ (sk2 @ sk3) @ sk3) != (X0)))),
% 0.48/0.77 inference('simplify_reflect-', [status(thm)],
% 0.48/0.77 [zip_derived_cl83, zip_derived_cl74])).
% 0.48/0.77 thf(zip_derived_cl75, plain,
% 0.48/0.77 (~ (greater @ (growth_rate @ efficient_producers @ (sk2 @ sk3)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk2 @ sk3)))),
% 0.48/0.77 inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl6])).
% 0.48/0.77 thf(zip_derived_cl85, plain,
% 0.48/0.77 (![X0 : $i]:
% 0.48/0.77 (((sk1 @ (sk2 @ sk3) @ sk3) != (X0))
% 0.48/0.77 | (greater @ (growth_rate @ efficient_producers @ X0) @
% 0.48/0.77 (growth_rate @ first_movers @ X0))
% 0.48/0.77 | ~ (greater @ X0 @ (sk2 @ sk3)))),
% 0.48/0.77 inference('clc', [status(thm)], [zip_derived_cl84, zip_derived_cl75])).
% 0.48/0.77 thf(zip_derived_cl86, plain,
% 0.48/0.77 ((((sk1 @ (sk2 @ sk3) @ sk3) != (sk1 @ (sk2 @ sk3) @ sk3))
% 0.48/0.77 | (greater @
% 0.48/0.77 (growth_rate @ efficient_producers @ (sk1 @ (sk2 @ sk3) @ sk3)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk1 @ (sk2 @ sk3) @ sk3))))),
% 0.48/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl85])).
% 0.48/0.77 thf(zip_derived_cl87, plain,
% 0.48/0.77 ( (greater @
% 0.48/0.77 (growth_rate @ efficient_producers @ (sk1 @ (sk2 @ sk3) @ sk3)) @
% 0.48/0.77 (growth_rate @ first_movers @ (sk1 @ (sk2 @ sk3) @ sk3)))),
% 0.48/0.77 inference('simplify', [status(thm)], [zip_derived_cl86])).
% 0.48/0.77 thf(zip_derived_cl88, plain, ($false),
% 0.48/0.77 inference('demod', [status(thm)], [zip_derived_cl81, zip_derived_cl87])).
% 0.48/0.77
% 0.48/0.77 % SZS output end Refutation
% 0.48/0.77
% 0.48/0.77
% 0.48/0.77 % Terminating...
% 1.36/0.81 % Runner terminated.
% 1.36/0.83 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------