TSTP Solution File: MGT035-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : MGT035-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 : 600s
% DateTime : Sun Jul 17 22:25:10 EDT 2022
% Result : Unsatisfiable 7.58s 7.75s
% Output : Refutation 7.63s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_greater_transitivity_22,axiom,
( ~ greater(X,Y)
| ~ greater(Y,Z)
| greater(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_22) ).
cnf(mp_times_in_environment_23,axiom,
( ~ in_environment(X,Y)
| ~ in_environment(X,Z)
| greater(Z,Y)
| Z = Y
| greater(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_times_in_environment_23) ).
cnf(mp_greater_or_equal_24,axiom,
( ~ greater_or_equal(X,Y)
| greater(X,Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_24) ).
cnf(mp_greater_or_equal_25,axiom,
( ~ greater(X,Y)
| greater_or_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_25) ).
cnf(mp_greater_or_equal_26,axiom,
( X != Y
| greater_or_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_26) ).
cnf(d2_27,hypothesis,
( ~ environment(X)
| ~ subpopulations(Y,Z,X,U)
| ~ greater_or_equal(growth_rate(Z,U),zero)
| ~ greater(zero,growth_rate(Y,U))
| outcompetes(Z,Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_27) ).
cnf(l6_30,hypothesis,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ greater_or_equal(Y,equilibrium(X))
| growth_rate(first_movers,Y) = zero
| greater(growth_rate(first_movers,Y),zero)
| greater(growth_rate(efficient_producers,Y),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_30) ).
cnf(l6_32,hypothesis,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ greater_or_equal(Y,equilibrium(X))
| growth_rate(first_movers,Y) = zero
| greater(zero,growth_rate(efficient_producers,Y))
| greater(growth_rate(efficient_producers,Y),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_32) ).
cnf(l6_33,hypothesis,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ greater_or_equal(Y,equilibrium(X))
| growth_rate(first_movers,Y) = zero
| greater(zero,growth_rate(efficient_producers,Y))
| greater(zero,growth_rate(first_movers,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_33) ).
cnf(l6_34,hypothesis,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ greater_or_equal(Y,equilibrium(X))
| growth_rate(efficient_producers,Y) = zero
| greater(growth_rate(first_movers,Y),zero)
| greater(growth_rate(efficient_producers,Y),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_34) ).
cnf(l6_36,hypothesis,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ greater_or_equal(Y,equilibrium(X))
| growth_rate(efficient_producers,Y) = zero
| greater(zero,growth_rate(efficient_producers,Y))
| greater(growth_rate(efficient_producers,Y),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_36) ).
cnf(l6_37,hypothesis,
( ~ environment(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ greater_or_equal(Y,equilibrium(X))
| growth_rate(efficient_producers,Y) = zero
| greater(zero,growth_rate(efficient_producers,Y))
| greater(zero,growth_rate(first_movers,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_37) ).
cnf(l1_38,hypothesis,
( ~ environment(X)
| ~ stable(X)
| in_environment(X,sk1(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_38) ).
cnf(l1_39,hypothesis,
( ~ environment(X)
| ~ stable(X)
| ~ subpopulations(first_movers,efficient_producers,X,Y)
| ~ greater_or_equal(Y,sk1(X))
| greater(growth_rate(efficient_producers,Y),growth_rate(first_movers,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_39) ).
cnf(a4_40,hypothesis,
( ~ environment(X)
| ~ stable(X)
| in_environment(X,sk2(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_40) ).
cnf(a4_41,hypothesis,
( ~ environment(X)
| ~ stable(X)
| greater_or_equal(sk2(X),equilibrium(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_41) ).
cnf(prove_t4_42,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t4_42) ).
cnf(prove_t4_43,negated_conjecture,
stable(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t4_43) ).
cnf(prove_t4_44,negated_conjecture,
( ~ in_environment(sk3,X)
| subpopulations(first_movers,efficient_producers,sk3,sk4(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t4_44) ).
cnf(prove_t4_45,negated_conjecture,
( ~ in_environment(sk3,X)
| greater_or_equal(sk4(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t4_45) ).
cnf(prove_t4_46,negated_conjecture,
( ~ in_environment(sk3,X)
| ~ outcompetes(efficient_producers,first_movers,sk4(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t4_46) ).
cnf(26,plain,
greater_or_equal(X,X),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_26,theory(equality)]) ).
cnf(27,plain,
in_environment(sk3,sk1(sk3)),
inference('HYPERRESOLVE',[status(thm)],[l1_38,prove_t4_42,prove_t4_43]) ).
cnf(28,plain,
in_environment(sk3,sk2(sk3)),
inference('HYPERRESOLVE',[status(thm)],[a4_40,prove_t4_42,prove_t4_43]) ).
cnf(29,plain,
greater_or_equal(sk2(sk3),equilibrium(sk3)),
inference('HYPERRESOLVE',[status(thm)],[a4_41,prove_t4_42,prove_t4_43]) ).
cnf(30,plain,
greater_or_equal(sk4(sk1(sk3)),sk1(sk3)),
inference('HYPERRESOLVE',[status(thm)],[prove_t4_45,27]) ).
cnf(31,plain,
~ outcompetes(efficient_producers,first_movers,sk4(sk1(sk3))),
inference('UR-RESOLVE',[status(thm)],[prove_t4_46,27]) ).
cnf(32,plain,
subpopulations(first_movers,efficient_producers,sk3,sk4(sk1(sk3))),
inference('HYPERRESOLVE',[status(thm)],[prove_t4_44,27]) ).
cnf(33,plain,
greater_or_equal(sk4(sk2(sk3)),sk2(sk3)),
inference('HYPERRESOLVE',[status(thm)],[prove_t4_45,28]) ).
cnf(34,plain,
~ outcompetes(efficient_producers,first_movers,sk4(sk2(sk3))),
inference('UR-RESOLVE',[status(thm)],[prove_t4_46,28]) ).
cnf(35,plain,
subpopulations(first_movers,efficient_producers,sk3,sk4(sk2(sk3))),
inference('HYPERRESOLVE',[status(thm)],[prove_t4_44,28]) ).
cnf(36,plain,
( greater(sk1(sk3),sk2(sk3))
| sk1(sk3) = sk2(sk3)
| greater(sk2(sk3),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_times_in_environment_23,28,27]) ).
cnf(37,plain,
( greater(sk2(sk3),equilibrium(sk3))
| sk2(sk3) = equilibrium(sk3) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_24,29]) ).
cnf(38,plain,
( greater(sk4(sk1(sk3)),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_24,30]) ).
cnf(39,plain,
( greater(sk4(sk2(sk3)),sk2(sk3))
| sk4(sk2(sk3)) = sk2(sk3) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_24,33]) ).
cnf(40,plain,
greater(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3)))),
inference('HYPERRESOLVE',[status(thm)],[l1_39,32,prove_t4_42,prove_t4_43,30]) ).
cnf(41,plain,
greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),growth_rate(first_movers,sk4(sk1(sk3)))),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,40]) ).
cnf(42,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| greater(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,39,37]) ).
cnf(43,plain,
( sk1(sk3) = sk2(sk3)
| greater(sk2(sk3),sk1(sk3))
| greater_or_equal(sk1(sk3),sk2(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,36]) ).
cnf(44,plain,
( greater(sk1(sk3),sk2(sk3))
| sk1(sk3) = sk2(sk3)
| greater_or_equal(sk2(sk3),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,36]) ).
cnf(45,plain,
( sk1(sk3) = sk2(sk3)
| greater(sk2(sk3),sk1(sk3))
| sk2(sk3) = equilibrium(sk3)
| greater(sk1(sk3),equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,36,37]) ).
cnf(46,plain,
( sk1(sk3) = sk2(sk3)
| greater(sk2(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| greater(sk4(sk1(sk3)),sk2(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,36,38]) ).
cnf(47,plain,
( greater(sk1(sk3),sk2(sk3))
| sk1(sk3) = sk2(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| greater(sk4(sk2(sk3)),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,36,39]) ).
cnf(48,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,42]) ).
cnf(49,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_37,48,prove_t4_42,35]) ).
cnf(50,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_36,48,prove_t4_42,35]) ).
cnf(52,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_34,48,prove_t4_42,35]) ).
cnf(53,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(sk2(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_33,48,prove_t4_42,35]) ).
cnf(54,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(sk2(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_32,48,prove_t4_42,35]) ).
cnf(56,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(sk2(sk3))) = zero
| greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_30,48,prove_t4_42,35]) ).
cnf(58,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| greater(sk1(sk3),equilibrium(sk3))
| sk4(sk2(sk3)) = sk2(sk3)
| greater(sk4(sk2(sk3)),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,45,39]) ).
cnf(59,plain,
( sk1(sk3) = sk2(sk3)
| greater(sk2(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| greater_or_equal(sk4(sk1(sk3)),sk2(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,46]) ).
cnf(60,plain,
( sk1(sk3) = sk2(sk3)
| greater(sk2(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| greater(sk4(sk1(sk3)),equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,46,37]) ).
cnf(61,plain,
( greater(sk1(sk3),sk2(sk3))
| sk1(sk3) = sk2(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,47]) ).
cnf(62,plain,
( greater(sk1(sk3),sk2(sk3))
| sk1(sk3) = sk2(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[l1_39,61,prove_t4_42,prove_t4_43,35]) ).
cnf(63,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| greater(sk1(sk3),equilibrium(sk3))
| sk4(sk2(sk3)) = sk2(sk3)
| greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,58]) ).
cnf(64,plain,
( sk1(sk3) = sk2(sk3)
| greater(sk2(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,60]) ).
cnf(66,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| greater(sk1(sk3),equilibrium(sk3))
| sk4(sk2(sk3)) = sk2(sk3)
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[l1_39,63,prove_t4_42,prove_t4_43,35]) ).
cnf(67,plain,
( sk1(sk3) = sk2(sk3)
| greater(sk2(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_37,64,prove_t4_42,32]) ).
cnf(70,plain,
( sk1(sk3) = sk2(sk3)
| greater(sk2(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_34,64,prove_t4_42,32]) ).
cnf(78,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| greater_or_equal(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,50]) ).
cnf(86,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| sk1(sk3) = sk2(sk3)
| greater(sk1(sk3),equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,52,66]) ).
cnf(91,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(sk2(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| greater_or_equal(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,54]) ).
cnf(102,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3)))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,78,prove_t4_42,35,49]),34]) ).
cnf(104,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| sk1(sk3) = sk2(sk3)
| greater(sk1(sk3),equilibrium(sk3))
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,102,66]) ).
cnf(107,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(sk2(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3)))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,91,prove_t4_42,35,53]),34]) ).
cnf(113,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| sk1(sk3) = sk2(sk3)
| greater(sk1(sk3),equilibrium(sk3))
| greater_or_equal(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,86]) ).
cnf(138,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| sk1(sk3) = sk2(sk3)
| greater(sk1(sk3),equilibrium(sk3)) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,104,prove_t4_42,35,113]),34]) ).
cnf(139,plain,
( sk4(sk2(sk3)) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| sk1(sk3) = sk2(sk3)
| greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,138]) ).
cnf(198,plain,
( sk1(sk3) = sk2(sk3)
| greater(sk2(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,70,40]) ).
cnf(199,plain,
( sk1(sk3) = sk2(sk3)
| greater(sk2(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,198]) ).
cnf(205,plain,
( sk1(sk3) = sk2(sk3)
| greater(sk2(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,199,prove_t4_42,32,67]),31]) ).
cnf(213,plain,
( sk1(sk3) = sk2(sk3)
| greater(sk2(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,205,40]) ).
cnf(226,plain,
( sk1(sk3) = sk2(sk3)
| greater(sk2(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,213,prove_t4_42,32,199]),31]) ).
cnf(227,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater_or_equal(sk2(sk3),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,226]) ).
cnf(228,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(sk2(sk3)) = sk2(sk3)
| greater(sk4(sk2(sk3)),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,226,39]) ).
cnf(233,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(sk2(sk3)) = sk2(sk3)
| greater_or_equal(sk4(sk2(sk3)),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,228]) ).
cnf(234,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(sk2(sk3)) = sk2(sk3)
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[l1_39,233,prove_t4_42,prove_t4_43,35]) ).
cnf(298,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(sk2(sk3)) = sk2(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk4(sk2(sk3))),growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,234]) ).
cnf(299,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(first_movers,sk4(sk2(sk3))) = zero
| greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,234,56]) ).
cnf(301,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(first_movers,sk4(sk2(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,234,107]) ).
cnf(302,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,234,102]) ).
cnf(309,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(first_movers,sk4(sk2(sk3))) = zero
| greater_or_equal(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,299]) ).
cnf(324,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(first_movers,sk4(sk2(sk3))) = zero ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,309,prove_t4_42,35,301]),34]) ).
cnf(327,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(sk2(sk3)) = sk2(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference('PARAMODULATE',[status(thm)],[298,324,theory(equality)]) ).
cnf(331,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,327,prove_t4_42,35,302]),34]) ).
cnf(334,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(sk2(sk3)) = sk2(sk3)
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference('PARAMODULATE',[status(thm)],[234,331,theory(equality)]) ).
cnf(337,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(sk2(sk3)) = sk2(sk3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,334,prove_t4_42,35,327]),34]) ).
cnf(338,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_26,337]) ).
cnf(341,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference('PARAMODULATE',[status(thm)],[40,337,theory(equality)]) ).
cnf(344,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,341,prove_t4_42,32,338]),31]) ).
cnf(345,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| ~ outcompetes(efficient_producers,first_movers,sk2(sk3)) ),
inference('PARAMODULATE',[status(thm)],[34,344,theory(equality)]) ).
cnf(346,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| subpopulations(first_movers,efficient_producers,sk3,sk2(sk3)) ),
inference('PARAMODULATE',[status(thm)],[35,344,theory(equality)]) ).
cnf(351,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l1_39,346,prove_t4_42,prove_t4_43,227]) ).
cnf(352,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk2(sk3)))
| greater(zero,growth_rate(first_movers,sk2(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_37,346,prove_t4_42,29]) ).
cnf(353,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk2(sk3)))
| greater(growth_rate(efficient_producers,sk2(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_36,346,prove_t4_42,29]) ).
cnf(355,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(growth_rate(first_movers,sk2(sk3)),zero)
| greater(growth_rate(efficient_producers,sk2(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_34,346,prove_t4_42,29]) ).
cnf(366,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk2(sk3)))
| greater_or_equal(growth_rate(efficient_producers,sk2(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,353]) ).
cnf(378,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(growth_rate(efficient_producers,sk2(sk3)),zero)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,355,351]) ).
cnf(410,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk2(sk3)))
| outcompetes(efficient_producers,first_movers,sk2(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,366,prove_t4_42,346,352]) ).
cnf(411,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk2(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[345,410]) ).
cnf(419,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk2(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,411,351]) ).
cnf(515,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater_or_equal(growth_rate(efficient_producers,sk2(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,378]) ).
cnf(532,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| outcompetes(efficient_producers,first_movers,sk2(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,419,prove_t4_42,346,515]) ).
cnf(534,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero ),
inference('HYPERRESOLVE',[status(thm)],[345,532]) ).
cnf(535,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_26,534]) ).
cnf(538,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference('PARAMODULATE',[status(thm)],[40,534,theory(equality)]) ).
cnf(541,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,538,prove_t4_42,32,535]),31]) ).
cnf(542,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk2(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_26,541]) ).
cnf(551,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk2(sk3))) ),
inference('PARAMODULATE',[status(thm)],[351,541,theory(equality)]) ).
cnf(577,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| outcompetes(efficient_producers,first_movers,sk2(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,551,prove_t4_42,346,542]) ).
cnf(578,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero ),
inference('HYPERRESOLVE',[status(thm)],[345,577]) ).
cnf(579,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_26,578]) ).
cnf(582,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3)
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference('PARAMODULATE',[status(thm)],[40,578,theory(equality)]) ).
cnf(585,plain,
( sk1(sk3) = sk2(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk2(sk3) = equilibrium(sk3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,582,prove_t4_42,32,579]),31]) ).
cnf(586,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| ~ outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('PARAMODULATE',[status(thm)],[31,585,theory(equality)]) ).
cnf(587,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| subpopulations(first_movers,efficient_producers,sk3,sk1(sk3)) ),
inference('PARAMODULATE',[status(thm)],[32,585,theory(equality)]) ).
cnf(590,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| greater(growth_rate(efficient_producers,sk1(sk3)),growth_rate(first_movers,sk1(sk3))) ),
inference('PARAMODULATE',[status(thm)],[40,585,theory(equality)]) ).
cnf(592,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_37,587,prove_t4_42,139]) ).
cnf(598,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(first_movers,sk1(sk3)),zero)
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_34,587,prove_t4_42,139]) ).
cnf(646,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,598,590]) ).
cnf(647,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,646]) ).
cnf(651,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,647,prove_t4_42,587,592]) ).
cnf(733,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[586,651]) ).
cnf(735,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,733,590]) ).
cnf(740,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,735,prove_t4_42,587,647]) ).
cnf(745,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk4(sk2(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero ),
inference('HYPERRESOLVE',[status(thm)],[586,740]) ).
cnf(746,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_26,745]) ).
cnf(750,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(sk1(sk3),equilibrium(sk3))
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
inference('PARAMODULATE',[status(thm)],[66,745,theory(equality)]) ).
cnf(760,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(sk1(sk3),equilibrium(sk3)) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,750,prove_t4_42,35,746]),34]) ).
cnf(761,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,760]) ).
cnf(762,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_37,761,prove_t4_42,587]) ).
cnf(765,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(first_movers,sk1(sk3)),zero)
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_34,761,prove_t4_42,587]) ).
cnf(774,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,765,590]) ).
cnf(775,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,774]) ).
cnf(777,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,775,prove_t4_42,587,762]) ).
cnf(862,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[586,777]) ).
cnf(864,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,862,590]) ).
cnf(867,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,864,prove_t4_42,587,775]) ).
cnf(870,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero ),
inference('HYPERRESOLVE',[status(thm)],[586,867]) ).
cnf(871,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_26,870]) ).
cnf(873,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('PARAMODULATE',[status(thm)],[590,870,theory(equality)]) ).
cnf(878,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3)
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,873,prove_t4_42,587,871]) ).
cnf(883,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| sk4(sk2(sk3)) = sk2(sk3) ),
inference('HYPERRESOLVE',[status(thm)],[586,878]) ).
cnf(884,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| ~ outcompetes(efficient_producers,first_movers,sk2(sk3)) ),
inference('PARAMODULATE',[status(thm)],[34,883,theory(equality)]) ).
cnf(885,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| subpopulations(first_movers,efficient_producers,sk3,sk2(sk3)) ),
inference('PARAMODULATE',[status(thm)],[35,883,theory(equality)]) ).
cnf(888,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| greater(sk1(sk3),sk2(sk3))
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l1_39,885,prove_t4_42,prove_t4_43,44]) ).
cnf(889,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk2(sk3)))
| greater(zero,growth_rate(first_movers,sk2(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_37,885,prove_t4_42,29]) ).
cnf(890,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk2(sk3)))
| greater(growth_rate(efficient_producers,sk2(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_36,885,prove_t4_42,29]) ).
cnf(892,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(growth_rate(first_movers,sk2(sk3)),zero)
| greater(growth_rate(efficient_producers,sk2(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_34,885,prove_t4_42,29]) ).
cnf(901,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk2(sk3)))
| greater_or_equal(growth_rate(efficient_producers,sk2(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,890]) ).
cnf(908,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(growth_rate(efficient_producers,sk2(sk3)),zero)
| greater(sk1(sk3),sk2(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,892,888]) ).
cnf(912,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(sk1(sk3),sk2(sk3))
| greater_or_equal(growth_rate(efficient_producers,sk2(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,908]) ).
cnf(937,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk2(sk3)))
| outcompetes(efficient_producers,first_movers,sk2(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,901,prove_t4_42,885,889]) ).
cnf(938,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk2(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[884,937]) ).
cnf(942,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(sk1(sk3),sk2(sk3))
| greater(zero,growth_rate(first_movers,sk2(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,938,888]) ).
cnf(977,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(sk1(sk3),sk2(sk3))
| outcompetes(efficient_producers,first_movers,sk2(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,942,prove_t4_42,885,912]) ).
cnf(979,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(sk1(sk3),sk2(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[884,977]) ).
cnf(981,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater(sk1(sk3),equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,979,37]) ).
cnf(982,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,981]) ).
cnf(983,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_37,982,prove_t4_42,587]) ).
cnf(986,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(first_movers,sk1(sk3)),zero)
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_34,982,prove_t4_42,587]) ).
cnf(1025,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,986,590]) ).
cnf(1026,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1025]) ).
cnf(1030,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,1026,prove_t4_42,587,983]) ).
cnf(1109,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[586,1030]) ).
cnf(1111,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1109,590]) ).
cnf(1116,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,1111,prove_t4_42,587,1026]) ).
cnf(1121,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk2(sk3)) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero ),
inference('HYPERRESOLVE',[status(thm)],[586,1116]) ).
cnf(1122,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,sk2(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_26,1121]) ).
cnf(1127,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(sk1(sk3),sk2(sk3))
| greater(zero,growth_rate(first_movers,sk2(sk3))) ),
inference('PARAMODULATE',[status(thm)],[888,1121,theory(equality)]) ).
cnf(1132,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(sk1(sk3),sk2(sk3))
| outcompetes(efficient_producers,first_movers,sk2(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,1127,prove_t4_42,885,1122]) ).
cnf(1133,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(sk1(sk3),sk2(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[884,1132]) ).
cnf(1135,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(sk1(sk3),equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1133,37]) ).
cnf(1136,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1135]) ).
cnf(1137,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_37,1136,prove_t4_42,587]) ).
cnf(1140,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(first_movers,sk1(sk3)),zero)
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_34,1136,prove_t4_42,587]) ).
cnf(1231,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1140,590]) ).
cnf(1232,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1231]) ).
cnf(1234,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,1232,prove_t4_42,587,1137]) ).
cnf(1250,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[586,1234]) ).
cnf(1252,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1250,590]) ).
cnf(1255,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,1252,prove_t4_42,587,1232]) ).
cnf(1258,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero ),
inference('HYPERRESOLVE',[status(thm)],[586,1255]) ).
cnf(1259,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_26,1258]) ).
cnf(1261,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('PARAMODULATE',[status(thm)],[590,1258,theory(equality)]) ).
cnf(1266,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3)
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,1261,prove_t4_42,587,1259]) ).
cnf(1271,plain,
( sk1(sk3) = sk2(sk3)
| sk2(sk3) = equilibrium(sk3) ),
inference('HYPERRESOLVE',[status(thm)],[586,1266]) ).
cnf(1274,plain,
( sk2(sk3) = equilibrium(sk3)
| greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference('PARAMODULATE',[status(thm)],[29,1271,theory(equality)]) ).
cnf(1279,plain,
( sk2(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) ),
inference('PARAMODULATE',[status(thm)],[107,1271,theory(equality)]) ).
cnf(1281,plain,
( sk2(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) ),
inference('PARAMODULATE',[status(thm)],[102,1271,theory(equality)]) ).
cnf(1288,plain,
( sk2(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('PARAMODULATE',[status(thm)],[56,1271,theory(equality)]) ).
cnf(1300,plain,
( sk2(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1279,40]) ).
cnf(1305,plain,
( sk2(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1281,40]) ).
cnf(1320,plain,
( sk2(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1288,40]) ).
cnf(1322,plain,
( sk2(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1320]) ).
cnf(1328,plain,
( sk2(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,1322,prove_t4_42,32,1300]),31]) ).
cnf(1331,plain,
( sk2(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk1(sk3) = equilibrium(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('PARAMODULATE',[status(thm)],[41,1328,theory(equality)]) ).
cnf(1336,plain,
( sk2(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,1331,prove_t4_42,32,1305]),31]) ).
cnf(1343,plain,
( sk2(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk1(sk3) = equilibrium(sk3)
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference('PARAMODULATE',[status(thm)],[40,1336,theory(equality)]) ).
cnf(1346,plain,
( sk2(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk1(sk3) = equilibrium(sk3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,1343,prove_t4_42,32,1331]),31]) ).
cnf(1347,plain,
( sk2(sk3) = equilibrium(sk3)
| sk1(sk3) = equilibrium(sk3)
| ~ outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('PARAMODULATE',[status(thm)],[31,1346,theory(equality)]) ).
cnf(1348,plain,
( sk2(sk3) = equilibrium(sk3)
| sk1(sk3) = equilibrium(sk3)
| subpopulations(first_movers,efficient_producers,sk3,sk1(sk3)) ),
inference('PARAMODULATE',[status(thm)],[32,1346,theory(equality)]) ).
cnf(1351,plain,
( sk2(sk3) = equilibrium(sk3)
| sk1(sk3) = equilibrium(sk3)
| greater(growth_rate(efficient_producers,sk1(sk3)),growth_rate(first_movers,sk1(sk3))) ),
inference('PARAMODULATE',[status(thm)],[40,1346,theory(equality)]) ).
cnf(1352,plain,
( sk2(sk3) = equilibrium(sk3)
| sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_37,1348,prove_t4_42,1274]) ).
cnf(1355,plain,
( sk2(sk3) = equilibrium(sk3)
| sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(first_movers,sk1(sk3)),zero)
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_34,1348,prove_t4_42,1274]) ).
cnf(1386,plain,
( sk2(sk3) = equilibrium(sk3)
| sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1355,1351]) ).
cnf(1387,plain,
( sk2(sk3) = equilibrium(sk3)
| sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1386]) ).
cnf(1393,plain,
( sk2(sk3) = equilibrium(sk3)
| sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,1387,prove_t4_42,1348,1352]) ).
cnf(1437,plain,
( sk2(sk3) = equilibrium(sk3)
| sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[1347,1393]) ).
cnf(1439,plain,
( sk2(sk3) = equilibrium(sk3)
| sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1437,1351]) ).
cnf(1446,plain,
( sk2(sk3) = equilibrium(sk3)
| sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,1439,prove_t4_42,1348,1387]) ).
cnf(1453,plain,
( sk2(sk3) = equilibrium(sk3)
| sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero ),
inference('HYPERRESOLVE',[status(thm)],[1347,1446]) ).
cnf(1454,plain,
( sk2(sk3) = equilibrium(sk3)
| sk1(sk3) = equilibrium(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_26,1453]) ).
cnf(1456,plain,
( sk2(sk3) = equilibrium(sk3)
| sk1(sk3) = equilibrium(sk3)
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('PARAMODULATE',[status(thm)],[1351,1453,theory(equality)]) ).
cnf(1461,plain,
( sk2(sk3) = equilibrium(sk3)
| sk1(sk3) = equilibrium(sk3)
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,1456,prove_t4_42,1348,1454]) ).
cnf(1466,plain,
( sk2(sk3) = equilibrium(sk3)
| sk1(sk3) = equilibrium(sk3) ),
inference('HYPERRESOLVE',[status(thm)],[1347,1461]) ).
cnf(1469,plain,
( sk1(sk3) = equilibrium(sk3)
| ~ outcompetes(efficient_producers,first_movers,sk4(equilibrium(sk3))) ),
inference('PARAMODULATE',[status(thm)],[34,1466,theory(equality)]) ).
cnf(1470,plain,
( sk1(sk3) = equilibrium(sk3)
| greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3)) ),
inference('PARAMODULATE',[status(thm)],[33,1466,theory(equality)]) ).
cnf(1471,plain,
( sk1(sk3) = equilibrium(sk3)
| subpopulations(first_movers,efficient_producers,sk3,sk4(equilibrium(sk3))) ),
inference('PARAMODULATE',[status(thm)],[35,1466,theory(equality)]) ).
cnf(1472,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(sk1(sk3),equilibrium(sk3))
| greater_or_equal(equilibrium(sk3),sk1(sk3)) ),
inference('PARAMODULATE',[status(thm)],[44,1466,theory(equality)]) ).
cnf(1473,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference('PARAMODULATE',[status(thm)],[43,1466,theory(equality)]) ).
cnf(1475,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(sk4(equilibrium(sk3)),equilibrium(sk3))
| sk4(equilibrium(sk3)) = equilibrium(sk3) ),
inference('PARAMODULATE',[status(thm)],[39,1466,theory(equality)]) ).
cnf(1477,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| greater_or_equal(sk4(sk1(sk3)),equilibrium(sk3)) ),
inference('PARAMODULATE',[status(thm)],[59,1466,theory(equality)]) ).
cnf(1481,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(sk1(sk3),equilibrium(sk3))
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('PARAMODULATE',[status(thm)],[62,1466,theory(equality)]) ).
cnf(1482,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3))))
| greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_37,1471,prove_t4_42,1470]) ).
cnf(1483,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3))))
| greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_36,1471,prove_t4_42,1470]) ).
cnf(1485,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(growth_rate(first_movers,sk4(equilibrium(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_34,1471,prove_t4_42,1470]) ).
cnf(1486,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3))))
| greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_33,1471,prove_t4_42,1470]) ).
cnf(1487,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3))))
| greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_32,1471,prove_t4_42,1470]) ).
cnf(1489,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| greater(growth_rate(first_movers,sk4(equilibrium(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_30,1471,prove_t4_42,1470]) ).
cnf(1493,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_37,1477,prove_t4_42,32]) ).
cnf(1496,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_34,1477,prove_t4_42,32]) ).
cnf(1497,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_33,1477,prove_t4_42,32]) ).
cnf(1500,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_30,1477,prove_t4_42,32]) ).
cnf(1508,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3))))
| greater_or_equal(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1483]) ).
cnf(1516,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
| greater(sk1(sk3),equilibrium(sk3))
| sk4(equilibrium(sk3)) = equilibrium(sk3) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1485,1481]) ).
cnf(1519,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3))))
| greater_or_equal(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1487]) ).
cnf(1527,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero)
| greater(sk1(sk3),equilibrium(sk3))
| sk4(equilibrium(sk3)) = equilibrium(sk3) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1489,1481]) ).
cnf(1528,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3))))
| outcompetes(efficient_producers,first_movers,sk4(equilibrium(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,1508,prove_t4_42,1471,1482]) ).
cnf(1529,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[1469,1528]) ).
cnf(1532,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(sk1(sk3),equilibrium(sk3))
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1529,1481]) ).
cnf(1533,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3))))
| outcompetes(efficient_producers,first_movers,sk4(equilibrium(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,1519,prove_t4_42,1471,1486]) ).
cnf(1534,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[1469,1533]) ).
cnf(1537,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| greater(sk1(sk3),equilibrium(sk3))
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1534,1481]) ).
cnf(1543,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(sk1(sk3),equilibrium(sk3))
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1516]) ).
cnf(1550,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| greater(sk1(sk3),equilibrium(sk3))
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1527]) ).
cnf(1571,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(sk1(sk3),equilibrium(sk3))
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| outcompetes(efficient_producers,first_movers,sk4(equilibrium(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,1532,prove_t4_42,1471,1543]) ).
cnf(1573,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(sk1(sk3),equilibrium(sk3))
| sk4(equilibrium(sk3)) = equilibrium(sk3) ),
inference('HYPERRESOLVE',[status(thm)],[1469,1571]) ).
cnf(1574,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1573]) ).
cnf(1578,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| greater(sk1(sk3),equilibrium(sk3))
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| outcompetes(efficient_producers,first_movers,sk4(equilibrium(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,1537,prove_t4_42,1471,1550]) ).
cnf(1580,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| greater(sk1(sk3),equilibrium(sk3))
| sk4(equilibrium(sk3)) = equilibrium(sk3) ),
inference('HYPERRESOLVE',[status(thm)],[1469,1578]) ).
cnf(1581,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1580]) ).
cnf(1634,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1496,40]) ).
cnf(1635,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1634]) ).
cnf(1641,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,1635,prove_t4_42,32,1493]),31]) ).
cnf(1649,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1641,40]) ).
cnf(1665,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,1649,prove_t4_42,32,1635]),31]) ).
cnf(1666,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater_or_equal(equilibrium(sk3),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1665]) ).
cnf(1667,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(sk4(equilibrium(sk3)),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1665,1475]) ).
cnf(1675,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater_or_equal(sk4(equilibrium(sk3)),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1667]) ).
cnf(1679,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[l1_39,1675,prove_t4_42,prove_t4_43,1471]) ).
cnf(1708,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1500,40]) ).
cnf(1709,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1708]) ).
cnf(1715,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,1709,prove_t4_42,32,1497]),31]) ).
cnf(1723,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1715,40]) ).
cnf(1739,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,1723,prove_t4_42,32,1709]),31]) ).
cnf(1740,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| greater_or_equal(equilibrium(sk3),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1739]) ).
cnf(1741,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(sk4(equilibrium(sk3)),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1739,1475]) ).
cnf(1749,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater_or_equal(sk4(equilibrium(sk3)),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1741]) ).
cnf(1753,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[l1_39,1749,prove_t4_42,prove_t4_43,1471]) ).
cnf(1756,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1679]) ).
cnf(1757,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1679,1489]) ).
cnf(1759,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1679,1534]) ).
cnf(1760,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1679,1529]) ).
cnf(1761,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1753]) ).
cnf(1765,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,1753,1529]) ).
cnf(1779,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| greater_or_equal(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,1757]) ).
cnf(1812,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| outcompetes(efficient_producers,first_movers,sk4(equilibrium(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,1779,prove_t4_42,1471,1759]) ).
cnf(1813,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero ),
inference('HYPERRESOLVE',[status(thm)],[1469,1812]) ).
cnf(1814,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_26,1813]) ).
cnf(1817,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference('PARAMODULATE',[status(thm)],[40,1813,theory(equality)]) ).
cnf(1820,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,1817,prove_t4_42,32,1814]),31]) ).
cnf(1826,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| greater_or_equal(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
inference('PARAMODULATE',[status(thm)],[1761,1820,theory(equality)]) ).
cnf(1827,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater_or_equal(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
inference('PARAMODULATE',[status(thm)],[1756,1820,theory(equality)]) ).
cnf(1832,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| outcompetes(efficient_producers,first_movers,sk4(equilibrium(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,1826,prove_t4_42,1471,1765]) ).
cnf(1833,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| outcompetes(efficient_producers,first_movers,sk4(equilibrium(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,1827,prove_t4_42,1471,1760]) ).
cnf(1942,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero ),
inference('HYPERRESOLVE',[status(thm)],[1469,1832]) ).
cnf(1945,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('PARAMODULATE',[status(thm)],[41,1942,theory(equality)]) ).
cnf(1953,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero ),
inference('HYPERRESOLVE',[status(thm)],[1469,1833]) ).
cnf(1955,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference('PARAMODULATE',[status(thm)],[40,1953,theory(equality)]) ).
cnf(1958,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,1955,prove_t4_42,32,1945]),31]) ).
cnf(1959,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_26,1958]) ).
cnf(1965,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('PARAMODULATE',[status(thm)],[1753,1958,theory(equality)]) ).
cnf(1966,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('PARAMODULATE',[status(thm)],[1679,1958,theory(equality)]) ).
cnf(1997,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| outcompetes(efficient_producers,first_movers,sk4(equilibrium(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,1965,prove_t4_42,1471,1959]) ).
cnf(1998,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero ),
inference('HYPERRESOLVE',[status(thm)],[1469,1997]) ).
cnf(2001,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('PARAMODULATE',[status(thm)],[41,1998,theory(equality)]) ).
cnf(2005,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| outcompetes(efficient_producers,first_movers,sk4(equilibrium(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,1966,prove_t4_42,1471,1959]) ).
cnf(2007,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero ),
inference('HYPERRESOLVE',[status(thm)],[1469,2005]) ).
cnf(2010,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference('PARAMODULATE',[status(thm)],[40,2007,theory(equality)]) ).
cnf(2013,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,2010,prove_t4_42,32,2001]),31]) ).
cnf(2014,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| ~ outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('PARAMODULATE',[status(thm)],[31,2013,theory(equality)]) ).
cnf(2015,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| subpopulations(first_movers,efficient_producers,sk3,sk1(sk3)) ),
inference('PARAMODULATE',[status(thm)],[32,2013,theory(equality)]) ).
cnf(2018,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(growth_rate(efficient_producers,sk1(sk3)),growth_rate(first_movers,sk1(sk3))) ),
inference('PARAMODULATE',[status(thm)],[40,2013,theory(equality)]) ).
cnf(2019,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_37,2015,prove_t4_42,1473]) ).
cnf(2022,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(first_movers,sk1(sk3)),zero)
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_34,2015,prove_t4_42,1473]) ).
cnf(2027,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_37,2015,prove_t4_42,1581]) ).
cnf(2028,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_37,2015,prove_t4_42,1574]) ).
cnf(2033,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(first_movers,sk1(sk3)),zero)
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_34,2015,prove_t4_42,1581]) ).
cnf(2034,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(first_movers,sk1(sk3)),zero)
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_34,2015,prove_t4_42,1574]) ).
cnf(2071,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,2022,2018]) ).
cnf(2072,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,2071]) ).
cnf(2078,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,2072,prove_t4_42,2015,2019]) ).
cnf(2136,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[2014,2078]) ).
cnf(2138,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,2136,2018]) ).
cnf(2145,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,2138,prove_t4_42,2015,2072]) ).
cnf(2152,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero ),
inference('HYPERRESOLVE',[status(thm)],[2014,2145]) ).
cnf(2154,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(sk4(equilibrium(sk3)),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,2152,1475]) ).
cnf(2162,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater_or_equal(sk4(equilibrium(sk3)),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,2154]) ).
cnf(2166,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[l1_39,2162,prove_t4_42,prove_t4_43,1471]) ).
cnf(2167,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,2166]) ).
cnf(2251,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,2033,2018]) ).
cnf(2252,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,2251]) ).
cnf(2256,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,2252,prove_t4_42,2015,2027]) ).
cnf(2259,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,2034,2018]) ).
cnf(2260,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,2259]) ).
cnf(2264,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,2260,prove_t4_42,2015,2028]) ).
cnf(2314,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[2014,2256]) ).
cnf(2316,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,2314,2018]) ).
cnf(2319,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,2316,prove_t4_42,2015,2252]) ).
cnf(2322,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(first_movers,sk4(equilibrium(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero ),
inference('HYPERRESOLVE',[status(thm)],[2014,2319]) ).
cnf(2326,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
inference('PARAMODULATE',[status(thm)],[2167,2322,theory(equality)]) ).
cnf(2339,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[2014,2264]) ).
cnf(2341,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,2339,2018]) ).
cnf(2345,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,2341,prove_t4_42,2015,2260]) ).
cnf(2349,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero ),
inference('HYPERRESOLVE',[status(thm)],[2014,2345]) ).
cnf(2352,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('PARAMODULATE',[status(thm)],[2166,2349,theory(equality)]) ).
cnf(2355,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| outcompetes(efficient_producers,first_movers,sk4(equilibrium(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,2352,prove_t4_42,1471,2326]) ).
cnf(2356,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero ),
inference('HYPERRESOLVE',[status(thm)],[1469,2355]) ).
cnf(2357,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_26,2356]) ).
cnf(2359,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('PARAMODULATE',[status(thm)],[2018,2356,theory(equality)]) ).
cnf(2365,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3)
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,2359,prove_t4_42,2015,2357]) ).
cnf(2370,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(equilibrium(sk3)) = equilibrium(sk3) ),
inference('HYPERRESOLVE',[status(thm)],[2014,2365]) ).
cnf(2371,plain,
( sk1(sk3) = equilibrium(sk3)
| ~ outcompetes(efficient_producers,first_movers,equilibrium(sk3)) ),
inference('PARAMODULATE',[status(thm)],[1469,2370,theory(equality)]) ).
cnf(2372,plain,
( sk1(sk3) = equilibrium(sk3)
| subpopulations(first_movers,efficient_producers,sk3,equilibrium(sk3)) ),
inference('PARAMODULATE',[status(thm)],[1471,2370,theory(equality)]) ).
cnf(2377,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,equilibrium(sk3))) ),
inference('PARAMODULATE',[status(thm)],[1529,2370,theory(equality)]) ).
cnf(2386,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater(growth_rate(first_movers,equilibrium(sk3)),zero)
| greater(growth_rate(efficient_producers,equilibrium(sk3)),zero) ),
inference('PARAMODULATE',[status(thm)],[1485,2370,theory(equality)]) ).
cnf(2396,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(sk1(sk3),equilibrium(sk3))
| greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(first_movers,equilibrium(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l1_39,2372,prove_t4_42,prove_t4_43,1472]) ).
cnf(2397,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(first_movers,equilibrium(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l1_39,2372,prove_t4_42,prove_t4_43,1740]) ).
cnf(2398,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(first_movers,equilibrium(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l1_39,2372,prove_t4_42,prove_t4_43,1666]) ).
cnf(2408,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(sk1(sk3),equilibrium(sk3))
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater(zero,growth_rate(first_movers,equilibrium(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,2396,2377]) ).
cnf(2423,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater(growth_rate(efficient_producers,equilibrium(sk3)),zero)
| greater(sk1(sk3),equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,2386,2396]) ).
cnf(2466,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater(sk1(sk3),equilibrium(sk3))
| greater_or_equal(growth_rate(efficient_producers,equilibrium(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,2423]) ).
cnf(2498,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater(sk1(sk3),equilibrium(sk3))
| outcompetes(efficient_producers,first_movers,equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,2466,prove_t4_42,2372,2408]) ).
cnf(2499,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater(sk1(sk3),equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[2371,2498]) ).
cnf(2500,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater_or_equal(sk1(sk3),equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,2499]) ).
cnf(2513,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater(growth_rate(efficient_producers,equilibrium(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,2397,2386]) ).
cnf(2515,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater(zero,growth_rate(first_movers,equilibrium(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,2397,2377]) ).
cnf(2518,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater(growth_rate(efficient_producers,equilibrium(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,2398,2386]) ).
cnf(2520,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater(zero,growth_rate(first_movers,equilibrium(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,2398,2377]) ).
cnf(2545,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,equilibrium(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,2513]) ).
cnf(2569,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,equilibrium(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,2518]) ).
cnf(2592,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| outcompetes(efficient_producers,first_movers,equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,2545,prove_t4_42,2372,2515]) ).
cnf(2593,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(first_movers,sk4(sk1(sk3))) = zero
| growth_rate(efficient_producers,equilibrium(sk3)) = zero ),
inference('HYPERRESOLVE',[status(thm)],[2371,2592]) ).
cnf(2596,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('PARAMODULATE',[status(thm)],[41,2593,theory(equality)]) ).
cnf(2624,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| outcompetes(efficient_producers,first_movers,equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,2569,prove_t4_42,2372,2520]) ).
cnf(2625,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| growth_rate(efficient_producers,equilibrium(sk3)) = zero ),
inference('HYPERRESOLVE',[status(thm)],[2371,2624]) ).
cnf(2628,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference('PARAMODULATE',[status(thm)],[40,2625,theory(equality)]) ).
cnf(2631,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,2628,prove_t4_42,32,2596]),31]) ).
cnf(2632,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| greater_or_equal(growth_rate(efficient_producers,equilibrium(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_26,2631]) ).
cnf(2639,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| greater(zero,growth_rate(first_movers,equilibrium(sk3))) ),
inference('PARAMODULATE',[status(thm)],[2398,2631,theory(equality)]) ).
cnf(2671,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero
| outcompetes(efficient_producers,first_movers,equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,2639,prove_t4_42,2372,2632]) ).
cnf(2676,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| growth_rate(efficient_producers,sk4(sk1(sk3))) = zero ),
inference('HYPERRESOLVE',[status(thm)],[2371,2671]) ).
cnf(2677,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_26,2676]) ).
cnf(2680,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3)
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
inference('PARAMODULATE',[status(thm)],[40,2676,theory(equality)]) ).
cnf(2683,plain,
( sk1(sk3) = equilibrium(sk3)
| sk4(sk1(sk3)) = sk1(sk3) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,2680,prove_t4_42,32,2677]),31]) ).
cnf(2684,plain,
( sk1(sk3) = equilibrium(sk3)
| ~ outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('PARAMODULATE',[status(thm)],[31,2683,theory(equality)]) ).
cnf(2685,plain,
( sk1(sk3) = equilibrium(sk3)
| subpopulations(first_movers,efficient_producers,sk3,sk1(sk3)) ),
inference('PARAMODULATE',[status(thm)],[32,2683,theory(equality)]) ).
cnf(2687,plain,
( sk1(sk3) = equilibrium(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),growth_rate(first_movers,sk1(sk3))) ),
inference('PARAMODULATE',[status(thm)],[41,2683,theory(equality)]) ).
cnf(2688,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(growth_rate(efficient_producers,sk1(sk3)),growth_rate(first_movers,sk1(sk3))) ),
inference('PARAMODULATE',[status(thm)],[40,2683,theory(equality)]) ).
cnf(2689,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_37,2685,prove_t4_42,1473]) ).
cnf(2692,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(first_movers,sk1(sk3)),zero)
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_34,2685,prove_t4_42,1473]) ).
cnf(2693,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(first_movers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_33,2685,prove_t4_42,1473]) ).
cnf(2696,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(first_movers,sk1(sk3)) = zero
| greater(growth_rate(first_movers,sk1(sk3)),zero)
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_30,2685,prove_t4_42,1473]) ).
cnf(2697,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_37,2685,prove_t4_42,2500]) ).
cnf(2703,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(first_movers,sk1(sk3)),zero)
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_34,2685,prove_t4_42,2500]) ).
cnf(2777,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,2692,2688]) ).
cnf(2778,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,2777]) ).
cnf(2788,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,2778,prove_t4_42,2685,2689]) ).
cnf(2835,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(first_movers,sk1(sk3)) = zero
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,2696,2688]) ).
cnf(2836,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(first_movers,sk1(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,2835]) ).
cnf(2846,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(first_movers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,2836,prove_t4_42,2685,2693]) ).
cnf(2898,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[2684,2788]) ).
cnf(2900,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,2898,2688]) ).
cnf(2911,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,2900,prove_t4_42,2685,2778]) ).
cnf(2922,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(efficient_producers,sk1(sk3)) = zero ),
inference('HYPERRESOLVE',[status(thm)],[2684,2911]) ).
cnf(2923,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater_or_equal(equilibrium(sk3),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,2922]) ).
cnf(2931,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(first_movers,equilibrium(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l1_39,2923,prove_t4_42,prove_t4_43,2372]) ).
cnf(2980,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(first_movers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[2684,2846]) ).
cnf(2982,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(first_movers,sk1(sk3)) = zero
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,2980,2688]) ).
cnf(2993,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(first_movers,sk1(sk3)) = zero
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,2982,prove_t4_42,2685,2836]) ).
cnf(3004,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(equilibrium(sk3),sk1(sk3))
| growth_rate(first_movers,sk1(sk3)) = zero ),
inference('HYPERRESOLVE',[status(thm)],[2684,2993]) ).
cnf(3005,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk1(sk3)) = zero
| greater_or_equal(equilibrium(sk3),sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,3004]) ).
cnf(3013,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk1(sk3)) = zero
| greater(growth_rate(efficient_producers,equilibrium(sk3)),growth_rate(first_movers,equilibrium(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[l1_39,3005,prove_t4_42,prove_t4_43,2372]) ).
cnf(3087,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,2703,2688]) ).
cnf(3088,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,3087]) ).
cnf(3096,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3)))
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,3088,prove_t4_42,2685,2697]) ).
cnf(3249,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(efficient_producers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[2684,3096]) ).
cnf(3251,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,3249,2688]) ).
cnf(3259,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,3251,prove_t4_42,2685,3088]) ).
cnf(3267,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| growth_rate(efficient_producers,sk1(sk3)) = zero ),
inference('HYPERRESOLVE',[status(thm)],[2684,3259]) ).
cnf(3268,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_26,3267]) ).
cnf(3270,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('PARAMODULATE',[status(thm)],[2688,3267,theory(equality)]) ).
cnf(3274,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,3270,prove_t4_42,2685,3268]) ).
cnf(3282,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,equilibrium(sk3)) = zero ),
inference('HYPERRESOLVE',[status(thm)],[2684,3274]) ).
cnf(3283,plain,
( sk1(sk3) = equilibrium(sk3)
| greater_or_equal(growth_rate(efficient_producers,equilibrium(sk3)),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_26,3282]) ).
cnf(3289,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk1(sk3)) = zero
| greater(zero,growth_rate(first_movers,equilibrium(sk3))) ),
inference('PARAMODULATE',[status(thm)],[3013,3282,theory(equality)]) ).
cnf(3291,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| greater(zero,growth_rate(first_movers,equilibrium(sk3))) ),
inference('PARAMODULATE',[status(thm)],[2931,3282,theory(equality)]) ).
cnf(3316,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk1(sk3)) = zero
| outcompetes(efficient_producers,first_movers,equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,3289,prove_t4_42,2372,3283]) ).
cnf(3321,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(first_movers,sk1(sk3)) = zero ),
inference('HYPERRESOLVE',[status(thm)],[2371,3316]) ).
cnf(3325,plain,
( sk1(sk3) = equilibrium(sk3)
| greater_or_equal(growth_rate(efficient_producers,sk1(sk3)),zero) ),
inference('PARAMODULATE',[status(thm)],[2687,3321,theory(equality)]) ).
cnf(3334,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero
| outcompetes(efficient_producers,first_movers,equilibrium(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,3291,prove_t4_42,2372,3283]) ).
cnf(3340,plain,
( sk1(sk3) = equilibrium(sk3)
| growth_rate(efficient_producers,sk1(sk3)) = zero ),
inference('HYPERRESOLVE',[status(thm)],[2371,3334]) ).
cnf(3343,plain,
( sk1(sk3) = equilibrium(sk3)
| greater(zero,growth_rate(first_movers,sk1(sk3))) ),
inference('PARAMODULATE',[status(thm)],[2688,3340,theory(equality)]) ).
cnf(3346,plain,
( sk1(sk3) = equilibrium(sk3)
| outcompetes(efficient_producers,first_movers,sk1(sk3)) ),
inference('HYPERRESOLVE',[status(thm)],[d2_27,3343,prove_t4_42,2685,3325]) ).
cnf(3353,plain,
sk1(sk3) = equilibrium(sk3),
inference('HYPERRESOLVE',[status(thm)],[2684,3346]) ).
cnf(3355,plain,
greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3)),
inference('REWRITE',[status(thm)],[30,3353,theory(equality)]) ).
cnf(3356,plain,
~ outcompetes(efficient_producers,first_movers,sk4(equilibrium(sk3))),
inference('REWRITE',[status(thm)],[31,3353,theory(equality)]) ).
cnf(3357,plain,
subpopulations(first_movers,efficient_producers,sk3,sk4(equilibrium(sk3))),
inference('REWRITE',[status(thm)],[32,3353,theory(equality)]) ).
cnf(3359,plain,
greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),growth_rate(first_movers,sk4(equilibrium(sk3)))),
inference('REWRITE',[status(thm)],[40,3353,theory(equality)]) ).
cnf(3364,plain,
( growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3))))
| greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[l6_37,3357,prove_t4_42,3355]) ).
cnf(3367,plain,
( growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(growth_rate(first_movers,sk4(equilibrium(sk3))),zero)
| greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[l6_34,3357,prove_t4_42,3355]) ).
cnf(3378,plain,
( growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,3367,3359]) ).
cnf(3379,plain,
( growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater_or_equal(growth_rate(efficient_producers,sk4(equilibrium(sk3))),zero) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_25,3378]) ).
cnf(3381,plain,
( growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(efficient_producers,sk4(equilibrium(sk3)))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,3379,prove_t4_42,3357,3364]),3356]) ).
cnf(3385,plain,
( growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero
| greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3)))) ),
inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_22,3381,3359]) ).
cnf(3388,plain,
growth_rate(efficient_producers,sk4(equilibrium(sk3))) = zero,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[d2_27,3385,prove_t4_42,3357,3379]),3356]) ).
cnf(3389,plain,
greater(zero,growth_rate(first_movers,sk4(equilibrium(sk3)))),
inference('REWRITE',[status(thm)],[3359,3388,theory(equality)]) ).
cnf(3392,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[d2_27,3389,prove_t4_42,3357,3356]),26,3388,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT035-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 9 11:27:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T11:27:33
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-09T11:27:33
% 7.58/7.75
% 7.58/7.75
% 7.58/7.75 #||
% 7.58/7.75 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.58/7.75 % SZS output start Refutation
% See solution above
% 7.63/7.81 ||#
% 7.63/7.81
% 7.63/7.81 ; Summary of computation:
% 7.63/7.81 ; 15134 formulas have been input or derived (from 1510 formulas).
% 7.63/7.81 ; 3392 (22%) were retained. Of these,
% 7.63/7.81 ; 3354 (99%) were simplified or subsumed later,
% 7.63/7.81 ; 38 ( 1%) are still being kept.
% 7.63/7.81 ;
% 7.63/7.81 ; Run time in seconds excluding printing time:
% 7.63/7.81 ; 0.007 0% Read assertion file (1 call)
% 7.63/7.81 ; 0.001 0% Assert (25 calls)
% 7.63/7.81 ; 0.373 5% Process new row (14,877 calls)
% 7.63/7.81 ; 0.344 5% Resolution (3,018 calls)
% 7.63/7.81 ; 0.295 4% Paramodulation (1,509 calls)
% 7.63/7.81 ; 0.016 0% Factoring (1,457 calls)
% 7.63/7.81 ; 0.025 0% Condensing (12,627 calls)
% 7.63/7.81 ; 4.436 61% Forward subsumption (12,627 calls)
% 7.63/7.81 ; 0.415 6% Backward subsumption (3,366 calls)
% 7.63/7.81 ; 0.415 6% Clause clause subsumption (147,676 calls)
% 7.63/7.81 ; 0.330 5% Forward simplification (13,465 calls)
% 7.63/7.81 ; 0.013 0% Backward simplification (3,392 calls)
% 7.63/7.81 ; 0.506 7% Ordering (306,919 calls)
% 7.63/7.81 ; 0.000 0% Sortal reasoning (32 calls)
% 7.63/7.81 ; 0.000 0% Purity testing (1 call)
% 7.63/7.81 ; 0.106 1% Other
% 7.63/7.81 ; 7.282 Total
% 7.63/7.81 ; 7.341 Real time
% 7.63/7.81 ;
% 7.63/7.81 ; Term-hash-array has 335 terms in all.
% 7.63/7.81 ; Feature-vector-row-index has 25 entries (428 at peak, 3,366 added, 3,341 deleted).
% 7.63/7.81 ; Feature-vector-row-index has 130 nodes (2,995 at peak, 30,496 added, 30,366 deleted).
% 7.63/7.81 ; Retrieved 217,672 possibly forward subsuming rows in 12,627 calls.
% 7.63/7.81 ; Retrieved 21,249 possibly backward subsumed rows in 3,366 calls.
% 7.63/7.81 ; Path-index has 66 entries (195 at peak, 1,056 added, 990 deleted).
% 7.63/7.81 ; Path-index has 218 nodes (279 at peak, 400 added, 182 deleted).
% 7.63/7.81 ; Trie-index has 66 entries (195 at peak, 1,056 added, 990 deleted).
% 7.63/7.81 ; Trie-index has 161 nodes (546 at peak, 2,811 added, 2,650 deleted).
% 7.63/7.81 ; Retrieved 1,738 generalization terms in 28,697 calls.
% 7.63/7.81 ; Retrieved 31 instance terms in 25 calls.
% 7.63/7.81 ; Retrieved 30,772 unifiable terms in 16,685 calls.
% 7.63/7.81 ;
% 7.63/7.81 ; The agenda of rows to process has 1 entry:
% 7.63/7.81 ; 1 with value 15
% 7.63/7.81 ; The agenda of rows to give has 5 entries:
% 7.63/7.81 ; 1 with value (4 15) 1 with value (4 19) 1 with value (4 199)
% 7.63/7.81 ; 1 with value (4 18) 1 with value (4 103)
% 7.63/7.81 Evaluation took:
% 7.63/7.81 7.341 seconds of real time
% 7.63/7.81 6.714336 seconds of user run time
% 7.63/7.81 0.627146 seconds of system run time
% 7.63/7.81 [Run times include 0.275 seconds GC run time.]
% 7.63/7.81 0 calls to %EVAL
% 7.63/7.81 0 page faults and
% 7.63/7.81 984,554,568 bytes consed.
% 7.63/7.81 :PROOF-FOUND
% 7.63/7.81 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T11:27:40
% 7.63/7.81 :PROOF-FOUND
% 7.63/7.81 *
%------------------------------------------------------------------------------