%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : MGT029+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:26:06 PM UTC 2026
% Result : Theorem 1.59s 0.71s
% Output : CNFRefutation 1.59s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(prove_l11,conjecture,
! [X4] :
( ( stable(X4)
& environment(X4) )
=> ? [X8] :
( ! [X7] :
( ( greater_or_equal(X7,X8)
& subpopulations(first_movers,efficient_producers,X4,X7) )
=> ( greater(zero,growth_rate(first_movers,X7))
& greater(growth_rate(efficient_producers,X7),zero) ) )
& in_environment(X4,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l11) ).
fof(a4,hypothesis,
! [X4] :
( ( stable(X4)
& environment(X4) )
=> ? [X7] :
( greater_or_equal(X7,equilibrium(X4))
& in_environment(X4,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(mp_greater_or_equal,axiom,
! [X1,X2] :
( greater_or_equal(X1,X2)
<=> ( X1 = X2
| greater(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
fof(l6,hypothesis,
! [X4,X7] :
( ( greater_or_equal(X7,equilibrium(X4))
& subpopulations(first_movers,efficient_producers,X4,X7)
& environment(X4) )
=> ( ( greater(zero,growth_rate(first_movers,X7))
& greater(growth_rate(efficient_producers,X7),zero) )
| ( greater(zero,growth_rate(efficient_producers,X7))
& greater(growth_rate(first_movers,X7),zero) )
| ( growth_rate(efficient_producers,X7) = zero
& growth_rate(first_movers,X7) = zero ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6) ).
fof(mp_greater_transitivity,axiom,
! [X1,X2,X3] :
( ( greater(X2,X3)
& greater(X1,X2) )
=> greater(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity) ).
fof(mp_times_in_environment,axiom,
! [X4,X5,X6] :
( ( in_environment(X4,X6)
& in_environment(X4,X5) )
=> ( greater(X5,X6)
| X6 = X5
| greater(X6,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_times_in_environment) ).
fof(l1,hypothesis,
! [X4] :
( ( stable(X4)
& environment(X4) )
=> ? [X8] :
( ! [X7] :
( ( greater_or_equal(X7,X8)
& subpopulations(first_movers,efficient_producers,X4,X7) )
=> greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7)) )
& in_environment(X4,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
fof(c_0_7,negated_conjecture,
~ ! [X4] :
( ( stable(X4)
& environment(X4) )
=> ? [X8] :
( ! [X7] :
( ( greater_or_equal(X7,X8)
& subpopulations(first_movers,efficient_producers,X4,X7) )
=> ( greater(zero,growth_rate(first_movers,X7))
& greater(growth_rate(efficient_producers,X7),zero) ) )
& in_environment(X4,X8) ) ),
inference(assume_negation,[status(cth)],[prove_l11]) ).
fof(c_0_8,hypothesis,
! [X22] :
( ( ~ stable(X22)
| ~ environment(X22)
| greater_or_equal(esk2_1(X22),equilibrium(X22)) )
& ( ~ stable(X22)
| ~ environment(X22)
| in_environment(X22,esk2_1(X22)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a4])])])])]) ).
fof(c_0_9,negated_conjecture,
! [X25] :
( ( ~ in_environment(esk3_0,X25)
| ~ greater(zero,growth_rate(first_movers,esk4_1(X25)))
| ~ greater(growth_rate(efficient_producers,esk4_1(X25)),zero) )
& ( ~ in_environment(esk3_0,X25)
| greater_or_equal(esk4_1(X25),X25) )
& ( ~ in_environment(esk3_0,X25)
| subpopulations(first_movers,efficient_producers,esk3_0,esk4_1(X25)) )
& stable(esk3_0)
& environment(esk3_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])]) ).
cnf(c_0_10,hypothesis,
( ~ stable(X1)
| ~ environment(X1)
| in_environment(X1,esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
stable(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,negated_conjecture,
environment(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X15,X16] :
( ( greater_or_equal(X15,X16)
| X15 != X16 )
& ( greater_or_equal(X15,X16)
| ~ greater(X15,X16) )
& ( X15 = X16
| greater(X15,X16)
| ~ greater_or_equal(X15,X16) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_or_equal])])])]) ).
cnf(c_0_14,hypothesis,
( ~ stable(X1)
| ~ environment(X1)
| greater_or_equal(esk2_1(X1),equilibrium(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_15,hypothesis,
! [X17,X18] :
( ( ~ greater_or_equal(X18,equilibrium(X17))
| ~ subpopulations(first_movers,efficient_producers,X17,X18)
| ~ environment(X17)
| growth_rate(efficient_producers,X18) = zero
| greater(zero,growth_rate(efficient_producers,X18))
| greater(zero,growth_rate(first_movers,X18)) )
& ( ~ greater_or_equal(X18,equilibrium(X17))
| ~ subpopulations(first_movers,efficient_producers,X17,X18)
| ~ environment(X17)
| growth_rate(efficient_producers,X18) = zero
| greater(zero,growth_rate(efficient_producers,X18))
| greater(growth_rate(efficient_producers,X18),zero) )
& ( ~ greater_or_equal(X18,equilibrium(X17))
| ~ subpopulations(first_movers,efficient_producers,X17,X18)
| ~ environment(X17)
| growth_rate(efficient_producers,X18) = zero
| greater(growth_rate(first_movers,X18),zero)
| greater(zero,growth_rate(first_movers,X18)) )
& ( ~ greater_or_equal(X18,equilibrium(X17))
| ~ subpopulations(first_movers,efficient_producers,X17,X18)
| ~ environment(X17)
| growth_rate(efficient_producers,X18) = zero
| greater(growth_rate(first_movers,X18),zero)
| greater(growth_rate(efficient_producers,X18),zero) )
& ( ~ greater_or_equal(X18,equilibrium(X17))
| ~ subpopulations(first_movers,efficient_producers,X17,X18)
| ~ environment(X17)
| growth_rate(first_movers,X18) = zero
| greater(zero,growth_rate(efficient_producers,X18))
| greater(zero,growth_rate(first_movers,X18)) )
& ( ~ greater_or_equal(X18,equilibrium(X17))
| ~ subpopulations(first_movers,efficient_producers,X17,X18)
| ~ environment(X17)
| growth_rate(first_movers,X18) = zero
| greater(zero,growth_rate(efficient_producers,X18))
| greater(growth_rate(efficient_producers,X18),zero) )
& ( ~ greater_or_equal(X18,equilibrium(X17))
| ~ subpopulations(first_movers,efficient_producers,X17,X18)
| ~ environment(X17)
| growth_rate(first_movers,X18) = zero
| greater(growth_rate(first_movers,X18),zero)
| greater(zero,growth_rate(first_movers,X18)) )
& ( ~ greater_or_equal(X18,equilibrium(X17))
| ~ subpopulations(first_movers,efficient_producers,X17,X18)
| ~ environment(X17)
| growth_rate(first_movers,X18) = zero
| greater(growth_rate(first_movers,X18),zero)
| greater(growth_rate(efficient_producers,X18),zero) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l6])])])]) ).
cnf(c_0_16,negated_conjecture,
( ~ in_environment(esk3_0,X1)
| subpopulations(first_movers,efficient_producers,esk3_0,esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
in_environment(esk3_0,esk2_1(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
fof(c_0_18,plain,
! [X9,X10,X11] :
( greater(X9,X11)
| ~ greater(X10,X11)
| ~ greater(X9,X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_transitivity])])]) ).
cnf(c_0_19,plain,
( ~ greater_or_equal(X1,X2)
| X1 = X2
| greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
greater_or_equal(esk2_1(esk3_0),equilibrium(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_11]),c_0_12])]) ).
cnf(c_0_21,negated_conjecture,
( ~ in_environment(esk3_0,X1)
| greater_or_equal(esk4_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,hypothesis,
( ~ greater_or_equal(X1,equilibrium(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk3_0,esk4_1(esk2_1(esk3_0))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,plain,
( ~ greater(X2,X3)
| ~ greater(X1,X2)
| greater(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
( greater(esk2_1(esk3_0),equilibrium(esk3_0))
| equilibrium(esk3_0) = esk2_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
greater_or_equal(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0)),
inference(spm,[status(thm)],[c_0_21,c_0_17]) ).
cnf(c_0_27,hypothesis,
( ~ greater_or_equal(X1,equilibrium(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_28,negated_conjecture,
( ~ greater_or_equal(esk4_1(esk2_1(esk3_0)),equilibrium(esk3_0))
| greater(growth_rate(first_movers,esk4_1(esk2_1(esk3_0))),zero)
| greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),zero)
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_12])]) ).
cnf(c_0_29,plain,
( ~ greater(X1,X2)
| greater_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_30,negated_conjecture,
( ~ greater(X1,esk2_1(esk3_0))
| greater(X1,equilibrium(esk3_0))
| equilibrium(esk3_0) = esk2_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( greater(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0))
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( ~ greater_or_equal(esk4_1(esk2_1(esk3_0)),equilibrium(esk3_0))
| greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| greater(growth_rate(first_movers,esk4_1(esk2_1(esk3_0))),zero)
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_23]),c_0_12])]) ).
cnf(c_0_33,negated_conjecture,
( ~ greater(esk4_1(esk2_1(esk3_0)),equilibrium(esk3_0))
| greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),zero)
| greater(growth_rate(first_movers,esk4_1(esk2_1(esk3_0))),zero)
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( greater(esk4_1(esk2_1(esk3_0)),equilibrium(esk3_0))
| equilibrium(esk3_0) = esk2_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( ~ greater(esk4_1(esk2_1(esk3_0)),equilibrium(esk3_0))
| greater(growth_rate(first_movers,esk4_1(esk2_1(esk3_0))),zero)
| greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_32,c_0_29]) ).
fof(c_0_36,plain,
! [X12,X13,X14] :
( greater(X13,X14)
| X14 = X13
| greater(X14,X13)
| ~ in_environment(X12,X14)
| ~ in_environment(X12,X13) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_times_in_environment])])]) ).
fof(c_0_37,hypothesis,
! [X19,X21] :
( ( ~ stable(X19)
| ~ environment(X19)
| greater(growth_rate(efficient_producers,X21),growth_rate(first_movers,X21))
| ~ greater_or_equal(X21,esk1_1(X19))
| ~ subpopulations(first_movers,efficient_producers,X19,X21) )
& ( ~ stable(X19)
| ~ environment(X19)
| in_environment(X19,esk1_1(X19)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l1])])])])])]) ).
cnf(c_0_38,hypothesis,
( ~ greater_or_equal(X1,equilibrium(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_39,negated_conjecture,
( ~ in_environment(esk3_0,X1)
| ~ greater(zero,growth_rate(first_movers,esk4_1(X1)))
| ~ greater(growth_rate(efficient_producers,esk4_1(X1)),zero) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_40,negated_conjecture,
( greater(growth_rate(first_movers,esk4_1(esk2_1(esk3_0))),zero)
| greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),zero)
| equilibrium(esk3_0) = esk2_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| greater(growth_rate(first_movers,esk4_1(esk2_1(esk3_0))),zero)
| equilibrium(esk3_0) = esk2_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
cnf(c_0_42,plain,
( ~ in_environment(X1,X3)
| ~ in_environment(X1,X2)
| greater(X2,X3)
| X3 = X2
| greater(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,hypothesis,
( ~ stable(X1)
| ~ environment(X1)
| in_environment(X1,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,hypothesis,
( ~ stable(X1)
| ~ environment(X1)
| ~ greater_or_equal(X2,esk1_1(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,negated_conjecture,
( ~ greater_or_equal(esk4_1(esk2_1(esk3_0)),equilibrium(esk3_0))
| greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| greater(zero,growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))))
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_23]),c_0_12])]) ).
cnf(c_0_46,hypothesis,
( ~ greater_or_equal(X1,equilibrium(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_47,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),zero)
| ~ greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0)))) ),
inference(spm,[status(thm)],[c_0_39,c_0_17]) ).
cnf(c_0_48,negated_conjecture,
( greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),zero)
| greater(growth_rate(first_movers,esk4_1(esk2_1(esk3_0))),zero)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_40]),c_0_26])]) ).
cnf(c_0_49,negated_conjecture,
( greater(growth_rate(first_movers,esk4_1(esk2_1(esk3_0))),zero)
| greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_41]),c_0_26])]) ).
cnf(c_0_50,negated_conjecture,
( ~ in_environment(esk3_0,X1)
| greater(esk2_1(esk3_0),X1)
| greater(X1,esk2_1(esk3_0))
| X1 = esk2_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_17]) ).
cnf(c_0_51,negated_conjecture,
in_environment(esk3_0,esk1_1(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_11]),c_0_12])]) ).
cnf(c_0_52,negated_conjecture,
( ~ greater_or_equal(esk4_1(esk2_1(esk3_0)),esk1_1(esk3_0))
| greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),growth_rate(first_movers,esk4_1(esk2_1(esk3_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_23]),c_0_11]),c_0_12])]) ).
cnf(c_0_53,negated_conjecture,
( ~ greater(esk4_1(esk2_1(esk3_0)),equilibrium(esk3_0))
| greater(zero,growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))))
| greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_45,c_0_29]) ).
cnf(c_0_54,negated_conjecture,
( ~ greater_or_equal(esk4_1(esk2_1(esk3_0)),equilibrium(esk3_0))
| greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| greater(zero,growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))))
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_23]),c_0_12])]) ).
cnf(c_0_55,negated_conjecture,
( greater(growth_rate(first_movers,esk4_1(esk2_1(esk3_0))),zero)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_56,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| greater(esk2_1(esk3_0),esk1_1(esk3_0))
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,negated_conjecture,
( ~ greater(esk4_1(esk2_1(esk3_0)),esk1_1(esk3_0))
| greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),growth_rate(first_movers,esk4_1(esk2_1(esk3_0)))) ),
inference(spm,[status(thm)],[c_0_52,c_0_29]) ).
cnf(c_0_58,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| greater(zero,growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))))
| equilibrium(esk3_0) = esk2_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_53,c_0_34]) ).
cnf(c_0_59,negated_conjecture,
( ~ greater(esk4_1(esk2_1(esk3_0)),equilibrium(esk3_0))
| greater(zero,growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))))
| greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_54,c_0_29]) ).
cnf(c_0_60,negated_conjecture,
( ~ greater(X1,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| greater(X1,zero)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_24,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
( ~ greater(X1,esk2_1(esk3_0))
| greater(X1,esk1_1(esk3_0))
| greater(esk1_1(esk3_0),esk2_1(esk3_0))
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_56]) ).
cnf(c_0_62,negated_conjecture,
( ~ greater(esk4_1(esk2_1(esk3_0)),esk1_1(esk3_0))
| ~ greater(X1,growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))))
| greater(X1,growth_rate(first_movers,esk4_1(esk2_1(esk3_0)))) ),
inference(spm,[status(thm)],[c_0_24,c_0_57]) ).
cnf(c_0_63,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))))
| greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_58]),c_0_26])]) ).
cnf(c_0_64,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| greater(zero,growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))))
| equilibrium(esk3_0) = esk2_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_59,c_0_34]) ).
cnf(c_0_65,negated_conjecture,
( ~ greater(esk4_1(esk2_1(esk3_0)),esk1_1(esk3_0))
| greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),zero)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_60,c_0_57]) ).
cnf(c_0_66,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| greater(esk4_1(esk2_1(esk3_0)),esk1_1(esk3_0))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_61,c_0_31]) ).
cnf(c_0_67,negated_conjecture,
( ~ greater(esk4_1(esk2_1(esk3_0)),esk1_1(esk3_0))
| greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_68,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))))
| greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_64]),c_0_26])]) ).
cnf(c_0_69,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_70,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_67,c_0_66]) ).
cnf(c_0_71,negated_conjecture,
( ~ greater(esk4_1(esk2_1(esk3_0)),esk1_1(esk3_0))
| greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_62,c_0_68]) ).
cnf(c_0_72,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_69]),c_0_70]) ).
cnf(c_0_73,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_71,c_0_66]) ).
cnf(c_0_74,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk3_0,esk4_1(esk1_1(esk3_0))),
inference(spm,[status(thm)],[c_0_16,c_0_51]) ).
cnf(c_0_75,negated_conjecture,
greater_or_equal(esk4_1(esk1_1(esk3_0)),esk1_1(esk3_0)),
inference(spm,[status(thm)],[c_0_21,c_0_51]) ).
cnf(c_0_76,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_72]),c_0_66]) ).
cnf(c_0_77,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_73]),c_0_66]) ).
cnf(c_0_78,negated_conjecture,
greater(growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))),growth_rate(first_movers,esk4_1(esk1_1(esk3_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_74]),c_0_11]),c_0_12])]),c_0_75])]) ).
cnf(c_0_79,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_76]),c_0_77]) ).
cnf(c_0_80,negated_conjecture,
( ~ greater(X1,growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))))
| greater(X1,growth_rate(first_movers,esk4_1(esk1_1(esk3_0)))) ),
inference(spm,[status(thm)],[c_0_24,c_0_78]) ).
cnf(c_0_81,negated_conjecture,
( ~ greater(X1,esk1_1(esk3_0))
| greater(X1,esk2_1(esk3_0))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_79]) ).
cnf(c_0_82,negated_conjecture,
( greater(esk4_1(esk1_1(esk3_0)),esk1_1(esk3_0))
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_75]) ).
cnf(c_0_83,negated_conjecture,
( ~ greater_or_equal(esk4_1(esk1_1(esk3_0)),equilibrium(esk3_0))
| greater(zero,growth_rate(first_movers,esk4_1(esk1_1(esk3_0))))
| growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_74]),c_0_12])]),c_0_80]) ).
cnf(c_0_84,negated_conjecture,
( greater(esk4_1(esk1_1(esk3_0)),esk2_1(esk3_0))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_85,negated_conjecture,
( ~ greater_or_equal(esk4_1(esk1_1(esk3_0)),equilibrium(esk3_0))
| greater(growth_rate(first_movers,esk4_1(esk1_1(esk3_0))),zero)
| greater(growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))),zero)
| growth_rate(first_movers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_74]),c_0_12])]) ).
cnf(c_0_86,negated_conjecture,
( ~ greater(esk4_1(esk1_1(esk3_0)),equilibrium(esk3_0))
| greater(zero,growth_rate(first_movers,esk4_1(esk1_1(esk3_0))))
| growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_83,c_0_29]) ).
cnf(c_0_87,negated_conjecture,
( greater(esk4_1(esk1_1(esk3_0)),equilibrium(esk3_0))
| equilibrium(esk3_0) = esk2_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_84]) ).
cnf(c_0_88,negated_conjecture,
( ~ greater(esk4_1(esk1_1(esk3_0)),equilibrium(esk3_0))
| greater(growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))),zero)
| greater(growth_rate(first_movers,esk4_1(esk1_1(esk3_0))),zero)
| growth_rate(first_movers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_85,c_0_29]) ).
cnf(c_0_89,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk4_1(esk1_1(esk3_0))))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk2_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_90,negated_conjecture,
( greater(growth_rate(first_movers,esk4_1(esk1_1(esk3_0))),zero)
| greater(growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk2_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_88,c_0_87]) ).
cnf(c_0_91,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk4_1(esk1_1(esk3_0))))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_89]),c_0_84]) ).
cnf(c_0_92,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))),zero)
| ~ greater(zero,growth_rate(first_movers,esk4_1(esk1_1(esk3_0)))) ),
inference(spm,[status(thm)],[c_0_39,c_0_51]) ).
cnf(c_0_93,negated_conjecture,
( greater(growth_rate(first_movers,esk4_1(esk1_1(esk3_0))),zero)
| greater(growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_90]),c_0_84]) ).
cnf(c_0_94,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk4_1(esk1_1(esk3_0))))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_91]) ).
cnf(c_0_95,negated_conjecture,
( greater(growth_rate(first_movers,esk4_1(esk1_1(esk3_0))),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
cnf(c_0_96,negated_conjecture,
( ~ greater(X1,growth_rate(first_movers,esk4_1(esk1_1(esk3_0))))
| greater(X1,zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_24,c_0_95]) ).
cnf(c_0_97,negated_conjecture,
( greater(growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_96,c_0_78]) ).
cnf(c_0_98,negated_conjecture,
( esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_97]),c_0_94]) ).
cnf(c_0_99,negated_conjecture,
( greater(growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_98]) ).
cnf(c_0_100,negated_conjecture,
( esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_99]),c_0_94]) ).
cnf(c_0_101,negated_conjecture,
( ~ greater(esk2_1(esk3_0),esk1_1(esk3_0))
| ~ greater(X1,growth_rate(efficient_producers,esk2_1(esk3_0)))
| greater(X1,growth_rate(first_movers,esk2_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_100]) ).
cnf(c_0_102,negated_conjecture,
( ~ greater(esk2_1(esk3_0),esk1_1(esk3_0))
| greater(growth_rate(efficient_producers,esk2_1(esk3_0)),growth_rate(first_movers,esk2_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_100]) ).
cnf(c_0_103,negated_conjecture,
( ~ greater(X1,growth_rate(efficient_producers,esk2_1(esk3_0)))
| greater(esk1_1(esk3_0),esk2_1(esk3_0))
| greater(X1,growth_rate(first_movers,esk2_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_101,c_0_56]) ).
cnf(c_0_104,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,esk2_1(esk3_0)))
| greater(zero,growth_rate(first_movers,esk2_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(efficient_producers,esk2_1(esk3_0)) = zero
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_100]),c_0_20])]) ).
cnf(c_0_105,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| greater(growth_rate(efficient_producers,esk2_1(esk3_0)),growth_rate(first_movers,esk2_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_102,c_0_56]) ).
cnf(c_0_106,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| greater(zero,growth_rate(first_movers,esk2_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(efficient_producers,esk2_1(esk3_0)) = zero ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_107,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,esk2_1(esk3_0)),zero)
| ~ greater(zero,growth_rate(first_movers,esk2_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_100]) ).
cnf(c_0_108,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| greater(zero,growth_rate(first_movers,esk2_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_109,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,esk2_1(esk3_0)),zero)
| greater(esk1_1(esk3_0),esk2_1(esk3_0))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_110,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_1(esk3_0)),zero)
| greater(growth_rate(first_movers,esk2_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(first_movers,esk2_1(esk3_0)) = zero
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_100]),c_0_20])]) ).
cnf(c_0_111,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| greater(growth_rate(first_movers,esk2_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(first_movers,esk2_1(esk3_0)) = zero ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_112,negated_conjecture,
( ~ greater(X1,growth_rate(first_movers,esk2_1(esk3_0)))
| greater(X1,zero)
| greater(esk1_1(esk3_0),esk2_1(esk3_0))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(first_movers,esk2_1(esk3_0)) = zero
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_111]) ).
cnf(c_0_113,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(first_movers,esk2_1(esk3_0)) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_105]),c_0_109]) ).
cnf(c_0_114,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_113]),c_0_109]) ).
cnf(c_0_115,negated_conjecture,
( ~ greater(X1,esk1_1(esk3_0))
| greater(X1,esk2_1(esk3_0))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_114]) ).
cnf(c_0_116,negated_conjecture,
( greater(esk4_1(esk1_1(esk3_0)),esk2_1(esk3_0))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_115,c_0_82]) ).
cnf(c_0_117,negated_conjecture,
( greater(esk4_1(esk1_1(esk3_0)),equilibrium(esk3_0))
| equilibrium(esk3_0) = esk2_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_116]) ).
cnf(c_0_118,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk4_1(esk1_1(esk3_0))))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk2_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_86,c_0_117]) ).
cnf(c_0_119,negated_conjecture,
( greater(growth_rate(first_movers,esk4_1(esk1_1(esk3_0))),zero)
| greater(growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk2_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_88,c_0_117]) ).
cnf(c_0_120,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk4_1(esk1_1(esk3_0))))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_118]),c_0_116]) ).
cnf(c_0_121,negated_conjecture,
( greater(growth_rate(first_movers,esk4_1(esk1_1(esk3_0))),zero)
| greater(growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_119]),c_0_116]) ).
cnf(c_0_122,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk4_1(esk1_1(esk3_0))))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_120]) ).
cnf(c_0_123,hypothesis,
( ~ greater_or_equal(X1,equilibrium(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(growth_rate(efficient_producers,X1),zero) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_124,negated_conjecture,
( greater(growth_rate(first_movers,esk4_1(esk1_1(esk3_0))),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_121]),c_0_122]) ).
cnf(c_0_125,negated_conjecture,
( ~ greater_or_equal(esk4_1(esk2_1(esk3_0)),equilibrium(esk3_0))
| greater(zero,growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))))
| greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),zero)
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_23]),c_0_12])]) ).
cnf(c_0_126,negated_conjecture,
( ~ greater(X1,growth_rate(first_movers,esk4_1(esk1_1(esk3_0))))
| greater(X1,zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_24,c_0_124]) ).
cnf(c_0_127,negated_conjecture,
( ~ greater(esk4_1(esk2_1(esk3_0)),equilibrium(esk3_0))
| greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),zero)
| greater(zero,growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))))
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_125,c_0_29]) ).
cnf(c_0_128,negated_conjecture,
( greater(growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_126,c_0_78]) ).
cnf(c_0_129,hypothesis,
( ~ greater_or_equal(X1,equilibrium(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_130,hypothesis,
( ~ greater_or_equal(X1,equilibrium(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_131,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))))
| greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),zero)
| equilibrium(esk3_0) = esk2_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_127,c_0_34]) ).
cnf(c_0_132,negated_conjecture,
( esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_128]),c_0_122]) ).
cnf(c_0_133,negated_conjecture,
( ~ greater_or_equal(esk4_1(esk2_1(esk3_0)),equilibrium(esk3_0))
| greater(growth_rate(first_movers,esk4_1(esk2_1(esk3_0))),zero)
| greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),zero)
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_23]),c_0_12])]) ).
cnf(c_0_134,negated_conjecture,
( ~ greater_or_equal(esk4_1(esk2_1(esk3_0)),equilibrium(esk3_0))
| greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| greater(growth_rate(first_movers,esk4_1(esk2_1(esk3_0))),zero)
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_23]),c_0_12])]) ).
cnf(c_0_135,negated_conjecture,
( greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),zero)
| greater(zero,growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))))
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_131]),c_0_26])]) ).
cnf(c_0_136,negated_conjecture,
( greater(growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_132]) ).
cnf(c_0_137,negated_conjecture,
( ~ greater(esk4_1(esk2_1(esk3_0)),equilibrium(esk3_0))
| greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),zero)
| greater(growth_rate(first_movers,esk4_1(esk2_1(esk3_0))),zero)
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_133,c_0_29]) ).
cnf(c_0_138,negated_conjecture,
( ~ greater(esk4_1(esk2_1(esk3_0)),equilibrium(esk3_0))
| greater(growth_rate(first_movers,esk4_1(esk2_1(esk3_0))),zero)
| greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_134,c_0_29]) ).
cnf(c_0_139,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))))
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_135]),c_0_68]) ).
cnf(c_0_140,negated_conjecture,
( esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_136]),c_0_122]) ).
cnf(c_0_141,negated_conjecture,
( greater(growth_rate(first_movers,esk4_1(esk2_1(esk3_0))),zero)
| greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),zero)
| equilibrium(esk3_0) = esk2_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_137,c_0_34]) ).
cnf(c_0_142,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| greater(growth_rate(first_movers,esk4_1(esk2_1(esk3_0))),zero)
| equilibrium(esk3_0) = esk2_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_138,c_0_34]) ).
cnf(c_0_143,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))))
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_144,negated_conjecture,
( greater(growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))),zero)
| greater(growth_rate(first_movers,esk4_1(esk2_1(esk3_0))),zero)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_141]),c_0_26])]) ).
cnf(c_0_145,negated_conjecture,
( greater(growth_rate(first_movers,esk4_1(esk2_1(esk3_0))),zero)
| greater(zero,growth_rate(first_movers,esk4_1(esk2_1(esk3_0))))
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_142]),c_0_26])]) ).
cnf(c_0_146,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk4_1(esk1_1(esk3_0))))
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_80,c_0_143]) ).
cnf(c_0_147,negated_conjecture,
( greater(growth_rate(first_movers,esk4_1(esk2_1(esk3_0))),zero)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk2_1(esk3_0))) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_144]),c_0_145]) ).
cnf(c_0_148,negated_conjecture,
( ~ greater(X1,growth_rate(first_movers,esk4_1(esk1_1(esk3_0))))
| greater(X1,zero)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_60,c_0_140]) ).
cnf(c_0_149,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk4_1(esk1_1(esk3_0))))
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_78,c_0_146]) ).
cnf(c_0_150,negated_conjecture,
( greater(growth_rate(first_movers,esk4_1(esk1_1(esk3_0))),zero)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_147,c_0_140]) ).
cnf(c_0_151,negated_conjecture,
( greater(zero,zero)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| growth_rate(first_movers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_152,negated_conjecture,
( ~ greater(zero,zero)
| ~ greater(zero,growth_rate(first_movers,esk4_1(esk1_1(esk3_0))))
| greater(growth_rate(first_movers,esk4_1(esk1_1(esk3_0))),zero)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_92,c_0_150]) ).
cnf(c_0_153,negated_conjecture,
( greater(zero,zero)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_149,c_0_151]) ).
cnf(c_0_154,negated_conjecture,
( greater(growth_rate(first_movers,esk4_1(esk1_1(esk3_0))),zero)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_149]) ).
cnf(c_0_155,negated_conjecture,
( ~ greater(X1,growth_rate(first_movers,esk4_1(esk1_1(esk3_0))))
| greater(X1,zero)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_154]) ).
cnf(c_0_156,negated_conjecture,
( greater(growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))),zero)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_155,c_0_78]) ).
cnf(c_0_157,negated_conjecture,
( ~ greater_or_equal(esk4_1(esk1_1(esk3_0)),equilibrium(esk3_0))
| greater(growth_rate(first_movers,esk4_1(esk1_1(esk3_0))),zero)
| greater(growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))),zero)
| growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_74]),c_0_12])]) ).
cnf(c_0_158,negated_conjecture,
esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_156]),c_0_149]) ).
cnf(c_0_159,negated_conjecture,
( ~ greater(esk4_1(esk1_1(esk3_0)),equilibrium(esk3_0))
| greater(growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))),zero)
| greater(growth_rate(first_movers,esk4_1(esk1_1(esk3_0))),zero)
| growth_rate(efficient_producers,esk4_1(esk1_1(esk3_0))) = zero ),
inference(spm,[status(thm)],[c_0_157,c_0_29]) ).
cnf(c_0_160,negated_conjecture,
( ~ greater(esk1_1(esk3_0),equilibrium(esk3_0))
| greater(zero,growth_rate(first_movers,esk1_1(esk3_0)))
| growth_rate(efficient_producers,esk1_1(esk3_0)) = zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_158]),c_0_158]),c_0_158]) ).
cnf(c_0_161,negated_conjecture,
( greater(esk1_1(esk3_0),equilibrium(esk3_0))
| equilibrium(esk3_0) = esk2_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_79]) ).
cnf(c_0_162,negated_conjecture,
( ~ greater(esk1_1(esk3_0),equilibrium(esk3_0))
| greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| greater(growth_rate(efficient_producers,esk1_1(esk3_0)),zero)
| growth_rate(efficient_producers,esk1_1(esk3_0)) = zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_158]),c_0_158]),c_0_158]),c_0_158]) ).
cnf(c_0_163,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk1_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk2_1(esk3_0)
| growth_rate(efficient_producers,esk1_1(esk3_0)) = zero
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_164,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_1(esk3_0)),zero)
| greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk2_1(esk3_0)
| growth_rate(efficient_producers,esk1_1(esk3_0)) = zero
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_162,c_0_161]) ).
cnf(c_0_165,negated_conjecture,
greater(growth_rate(efficient_producers,esk1_1(esk3_0)),growth_rate(first_movers,esk1_1(esk3_0))),
inference(spm,[status(thm)],[c_0_78,c_0_158]) ).
cnf(c_0_166,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk1_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(efficient_producers,esk1_1(esk3_0)) = zero
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_163]),c_0_79]) ).
cnf(c_0_167,negated_conjecture,
( ~ greater(esk1_1(esk3_0),equilibrium(esk3_0))
| greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| greater(growth_rate(efficient_producers,esk1_1(esk3_0)),zero)
| growth_rate(first_movers,esk1_1(esk3_0)) = zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_158]),c_0_158]),c_0_158]),c_0_158]) ).
cnf(c_0_168,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,esk1_1(esk3_0)),zero)
| ~ greater(zero,growth_rate(first_movers,esk1_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_92,c_0_158]) ).
cnf(c_0_169,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_1(esk3_0)),zero)
| greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(efficient_producers,esk1_1(esk3_0)) = zero
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_164]),c_0_79]) ).
cnf(c_0_170,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk1_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_171,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_1(esk3_0)),zero)
| greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk2_1(esk3_0)
| growth_rate(first_movers,esk1_1(esk3_0)) = zero
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_167,c_0_161]) ).
cnf(c_0_172,negated_conjecture,
( greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(efficient_producers,esk1_1(esk3_0)) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]) ).
cnf(c_0_173,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_1(esk3_0)),zero)
| greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(first_movers,esk1_1(esk3_0)) = zero
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_171]),c_0_79]) ).
cnf(c_0_174,negated_conjecture,
( ~ greater(zero,zero)
| greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_172]),c_0_170]) ).
cnf(c_0_175,negated_conjecture,
( greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(first_movers,esk1_1(esk3_0)) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_172]),c_0_174]) ).
cnf(c_0_176,negated_conjecture,
( ~ greater(X1,growth_rate(first_movers,esk1_1(esk3_0)))
| greater(X1,zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(first_movers,esk1_1(esk3_0)) = zero
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_175]) ).
cnf(c_0_177,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| growth_rate(first_movers,esk1_1(esk3_0)) = zero ),
inference(spm,[status(thm)],[c_0_176,c_0_165]) ).
cnf(c_0_178,negated_conjecture,
( esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(first_movers,esk1_1(esk3_0)) = zero
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_177]),c_0_170]) ).
cnf(c_0_179,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_165,c_0_178]) ).
cnf(c_0_180,negated_conjecture,
( esk2_1(esk3_0) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_179]),c_0_170]) ).
cnf(c_0_181,negated_conjecture,
( ~ greater(esk2_1(esk3_0),esk1_1(esk3_0))
| ~ greater(X1,growth_rate(efficient_producers,esk2_1(esk3_0)))
| greater(X1,growth_rate(first_movers,esk2_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_180]) ).
cnf(c_0_182,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,esk2_1(esk3_0)),zero)
| ~ greater(zero,growth_rate(first_movers,esk2_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_180]) ).
cnf(c_0_183,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_1(esk3_0)),zero)
| greater(growth_rate(first_movers,esk2_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(first_movers,esk2_1(esk3_0)) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_180]),c_0_20])]) ).
cnf(c_0_184,negated_conjecture,
( greater(growth_rate(first_movers,esk2_1(esk3_0)),zero)
| greater(zero,growth_rate(first_movers,esk2_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(first_movers,esk2_1(esk3_0)) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_180]),c_0_20])]) ).
cnf(c_0_185,negated_conjecture,
( ~ greater(esk2_1(esk3_0),esk1_1(esk3_0))
| greater(growth_rate(efficient_producers,esk2_1(esk3_0)),growth_rate(first_movers,esk2_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_180]) ).
cnf(c_0_186,negated_conjecture,
( ~ greater(X1,growth_rate(efficient_producers,esk2_1(esk3_0)))
| greater(esk1_1(esk3_0),esk2_1(esk3_0))
| greater(X1,growth_rate(first_movers,esk2_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_181,c_0_56]) ).
cnf(c_0_187,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,esk2_1(esk3_0)))
| greater(zero,growth_rate(first_movers,esk2_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(efficient_producers,esk2_1(esk3_0)) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_180]),c_0_20])]) ).
cnf(c_0_188,negated_conjecture,
( greater(growth_rate(first_movers,esk2_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(first_movers,esk2_1(esk3_0)) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_184]) ).
cnf(c_0_189,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| greater(growth_rate(efficient_producers,esk2_1(esk3_0)),growth_rate(first_movers,esk2_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_185,c_0_56]) ).
cnf(c_0_190,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| greater(zero,growth_rate(first_movers,esk2_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(efficient_producers,esk2_1(esk3_0)) = zero ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_191,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_1(esk3_0)),zero)
| greater(growth_rate(first_movers,esk2_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(efficient_producers,esk2_1(esk3_0)) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_180]),c_0_20])]) ).
cnf(c_0_192,negated_conjecture,
( greater(growth_rate(first_movers,esk2_1(esk3_0)),zero)
| greater(zero,growth_rate(first_movers,esk2_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(efficient_producers,esk2_1(esk3_0)) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_180]),c_0_20])]) ).
cnf(c_0_193,negated_conjecture,
( ~ greater(X1,growth_rate(first_movers,esk2_1(esk3_0)))
| greater(X1,zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(first_movers,esk2_1(esk3_0)) = zero ),
inference(spm,[status(thm)],[c_0_24,c_0_188]) ).
cnf(c_0_194,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| greater(zero,growth_rate(first_movers,esk2_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_195,negated_conjecture,
( greater(growth_rate(first_movers,esk2_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(efficient_producers,esk2_1(esk3_0)) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_191]),c_0_192]) ).
cnf(c_0_196,negated_conjecture,
( greater(zero,zero)
| greater(esk1_1(esk3_0),esk2_1(esk3_0))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(first_movers,esk2_1(esk3_0)) = zero ),
inference(spm,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_197,negated_conjecture,
( ~ greater(zero,zero)
| ~ greater(zero,growth_rate(first_movers,esk2_1(esk3_0)))
| greater(growth_rate(first_movers,esk2_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_182,c_0_195]) ).
cnf(c_0_198,negated_conjecture,
( greater(zero,zero)
| greater(esk1_1(esk3_0),esk2_1(esk3_0))
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_194,c_0_196]) ).
cnf(c_0_199,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| greater(growth_rate(first_movers,esk2_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_194]) ).
cnf(c_0_200,negated_conjecture,
( ~ greater(X1,growth_rate(first_movers,esk2_1(esk3_0)))
| greater(X1,zero)
| greater(esk1_1(esk3_0),esk2_1(esk3_0))
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_199]) ).
cnf(c_0_201,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| greater(growth_rate(efficient_producers,esk2_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_200,c_0_189]) ).
cnf(c_0_202,negated_conjecture,
( greater(esk1_1(esk3_0),esk2_1(esk3_0))
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_201]),c_0_194]) ).
cnf(c_0_203,negated_conjecture,
( greater(esk1_1(esk3_0),equilibrium(esk3_0))
| equilibrium(esk3_0) = esk2_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_202]) ).
cnf(c_0_204,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk1_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk2_1(esk3_0)
| growth_rate(efficient_producers,esk1_1(esk3_0)) = zero ),
inference(spm,[status(thm)],[c_0_160,c_0_203]) ).
cnf(c_0_205,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_1(esk3_0)),zero)
| greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk2_1(esk3_0)
| growth_rate(efficient_producers,esk1_1(esk3_0)) = zero ),
inference(spm,[status(thm)],[c_0_162,c_0_203]) ).
cnf(c_0_206,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk1_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(efficient_producers,esk1_1(esk3_0)) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_204]),c_0_202]) ).
cnf(c_0_207,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_1(esk3_0)),zero)
| greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(efficient_producers,esk1_1(esk3_0)) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_205]),c_0_202]) ).
cnf(c_0_208,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk1_1(esk3_0)))
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_165,c_0_206]) ).
cnf(c_0_209,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_1(esk3_0)),zero)
| greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk2_1(esk3_0)
| growth_rate(first_movers,esk1_1(esk3_0)) = zero ),
inference(spm,[status(thm)],[c_0_167,c_0_203]) ).
cnf(c_0_210,negated_conjecture,
( greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(efficient_producers,esk1_1(esk3_0)) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_207]),c_0_208]) ).
cnf(c_0_211,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_1(esk3_0)),zero)
| greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(first_movers,esk1_1(esk3_0)) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_209]),c_0_202]) ).
cnf(c_0_212,negated_conjecture,
( ~ greater(zero,zero)
| greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_210]),c_0_208]) ).
cnf(c_0_213,negated_conjecture,
( greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(first_movers,esk1_1(esk3_0)) = zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_210]),c_0_212]) ).
cnf(c_0_214,negated_conjecture,
( ~ greater(X1,growth_rate(first_movers,esk1_1(esk3_0)))
| greater(X1,zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(first_movers,esk1_1(esk3_0)) = zero ),
inference(spm,[status(thm)],[c_0_24,c_0_213]) ).
cnf(c_0_215,negated_conjecture,
( greater(zero,zero)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| growth_rate(first_movers,esk1_1(esk3_0)) = zero ),
inference(spm,[status(thm)],[c_0_214,c_0_208]) ).
cnf(c_0_216,negated_conjecture,
( greater(zero,zero)
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_208,c_0_215]) ).
cnf(c_0_217,negated_conjecture,
( greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_212,c_0_216]) ).
cnf(c_0_218,negated_conjecture,
( ~ greater(X1,growth_rate(first_movers,esk1_1(esk3_0)))
| greater(X1,zero)
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_217]) ).
cnf(c_0_219,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_1(esk3_0)),zero)
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_218,c_0_165]) ).
cnf(c_0_220,negated_conjecture,
esk2_1(esk3_0) = esk1_1(esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_219]),c_0_208]) ).
cnf(c_0_221,negated_conjecture,
( ~ greater_or_equal(esk1_1(esk3_0),equilibrium(esk3_0))
| greater(zero,growth_rate(first_movers,esk1_1(esk3_0)))
| growth_rate(efficient_producers,esk1_1(esk3_0)) = zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_158]),c_0_158]),c_0_158]) ).
cnf(c_0_222,negated_conjecture,
greater_or_equal(esk1_1(esk3_0),equilibrium(esk3_0)),
inference(rw,[status(thm)],[c_0_20,c_0_220]) ).
cnf(c_0_223,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk1_1(esk3_0)))
| growth_rate(efficient_producers,esk1_1(esk3_0)) = zero ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_222])]) ).
cnf(c_0_224,negated_conjecture,
greater(zero,growth_rate(first_movers,esk1_1(esk3_0))),
inference(spm,[status(thm)],[c_0_165,c_0_223]) ).
cnf(c_0_225,negated_conjecture,
( ~ greater_or_equal(esk1_1(esk3_0),equilibrium(esk3_0))
| greater(growth_rate(efficient_producers,esk1_1(esk3_0)),zero)
| greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| growth_rate(efficient_producers,esk1_1(esk3_0)) = zero ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_158]),c_0_158]),c_0_158]),c_0_158]) ).
cnf(c_0_226,negated_conjecture,
~ greater(growth_rate(efficient_producers,esk1_1(esk3_0)),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_224])]) ).
cnf(c_0_227,negated_conjecture,
( greater(esk1_1(esk3_0),equilibrium(esk3_0))
| equilibrium(esk3_0) = esk1_1(esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_220]),c_0_220]) ).
cnf(c_0_228,plain,
( X1 != X2
| greater_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_229,negated_conjecture,
( greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| growth_rate(efficient_producers,esk1_1(esk3_0)) = zero ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_222])]),c_0_226]) ).
cnf(c_0_230,negated_conjecture,
( greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| equilibrium(esk3_0) = esk1_1(esk3_0)
| growth_rate(first_movers,esk1_1(esk3_0)) = zero ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_227]),c_0_226]) ).
cnf(c_0_231,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_228]) ).
cnf(c_0_232,negated_conjecture,
( ~ greater(zero,zero)
| greater(growth_rate(first_movers,esk1_1(esk3_0)),zero) ),
inference(spm,[status(thm)],[c_0_226,c_0_229]) ).
cnf(c_0_233,negated_conjecture,
( greater(growth_rate(first_movers,esk1_1(esk3_0)),zero)
| growth_rate(first_movers,esk1_1(esk3_0)) = zero ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_230]),c_0_220]),c_0_158]),c_0_220]),c_0_158]),c_0_220]),c_0_158]),c_0_220]),c_0_158]),c_0_231])]),c_0_226]) ).
cnf(c_0_234,negated_conjecture,
( ~ greater(zero,zero)
| ~ greater(X1,growth_rate(first_movers,esk1_1(esk3_0)))
| greater(X1,zero) ),
inference(spm,[status(thm)],[c_0_24,c_0_232]) ).
cnf(c_0_235,negated_conjecture,
( ~ greater(X1,growth_rate(first_movers,esk1_1(esk3_0)))
| greater(X1,zero)
| growth_rate(first_movers,esk1_1(esk3_0)) = zero ),
inference(spm,[status(thm)],[c_0_24,c_0_233]) ).
cnf(c_0_236,negated_conjecture,
~ greater(zero,zero),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_165]),c_0_226]) ).
cnf(c_0_237,negated_conjecture,
growth_rate(first_movers,esk1_1(esk3_0)) = zero,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_224]),c_0_236]) ).
cnf(c_0_238,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_237]),c_0_236]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT029+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 01:23:46 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.59/0.71 % Version: 3.5.1
% 1.59/0.71 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.59/0.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.59/0.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.59/0.71 % Starting new_bool_3 with 300s (1) cores
% 1.59/0.71 % Starting new_bool_1 with 300s (1) cores
% 1.59/0.71 % Starting sh5l with 300s (1) cores
% 1.59/0.71 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3093797 completed with status 0
% 1.59/0.71 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.59/0.71 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.59/0.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.59/0.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.59/0.71 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.59/0.71 % No SInE strategy applied
% 1.59/0.71 % Search class: FGHSF-FFMF21-SFFFFFNN
% 1.59/0.71 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.59/0.71 % Starting SubtermCWHack with 136s (1) cores
% 1.59/0.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.59/0.71 % Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.59/0.71 % Starting new_bool_3 with 136s (1) cores
% 1.59/0.71 % Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S033N with 136s (1) cores
% 1.59/0.71 % G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3093805 completed with status 0
% 1.59/0.71 % Result found by G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 1.59/0.71 % Preprocessing class: FSMSSMSSSSSNFFN.
% 1.59/0.71 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.59/0.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.59/0.71 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.59/0.71 % No SInE strategy applied
% 1.59/0.71 % Search class: FGHSF-FFMF21-SFFFFFNN
% 1.59/0.71 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.59/0.71 % Starting SubtermCWHack with 136s (1) cores
% 1.59/0.71 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.59/0.71 % Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.59/0.71 % Preprocessing time : 0.002 s
% 1.59/0.71 % Presaturation interreduction done
% 1.59/0.71
% 1.59/0.71 % Proof found!
% 1.59/0.71 % SZS status Theorem
% 1.59/0.71 % SZS output start CNFRefutation
% See solution above
% 1.59/0.71 % Parsed axioms : 7
% 1.59/0.71 % Removed by relevancy pruning/SinE : 0
% 1.59/0.71 % Initial clauses : 22
% 1.59/0.71 % Removed in clause preprocessing : 0
% 1.59/0.71 % Initial clauses in saturation : 22
% 1.59/0.71 % Processed clauses : 573
% 1.59/0.71 % ...of these trivial : 2
% 1.59/0.71 % ...subsumed : 156
% 1.59/0.71 % ...remaining for further processing : 415
% 1.59/0.71 % Other redundant clauses eliminated : 1
% 1.59/0.71 % Clauses deleted for lack of memory : 0
% 1.59/0.71 % Backward-subsumed : 231
% 1.59/0.71 % Backward-rewritten : 103
% 1.59/0.71 % Generated clauses : 1815
% 1.59/0.71 % ...of the previous two non-redundant : 1744
% 1.59/0.71 % ...aggressively subsumed : 0
% 1.59/0.71 % Contextual simplify-reflections : 54
% 1.59/0.71 % Paramodulations : 1814
% 1.59/0.71 % Factorizations : 0
% 1.59/0.71 % NegExts : 0
% 1.59/0.71 % Equation resolutions : 1
% 1.59/0.71 % Disequality decompositions : 0
% 1.59/0.71 % Total rewrite steps : 924
% 1.59/0.71 % ...of those cached : 907
% 1.59/0.71 % Propositional unsat checks : 0
% 1.59/0.71 % Propositional check models : 0
% 1.59/0.71 % Propositional check unsatisfiable : 0
% 1.59/0.71 % Propositional clauses : 0
% 1.59/0.71 % Propositional clauses after purity: 0
% 1.59/0.71 % Propositional unsat core size : 0
% 1.59/0.71 % Propositional preprocessing time : 0.000
% 1.59/0.71 % Propositional encoding time : 0.000
% 1.59/0.71 % Propositional solver time : 0.000
% 1.59/0.71 % Success case prop preproc time : 0.000
% 1.59/0.71 % Success case prop encoding time : 0.000
% 1.59/0.71 % Success case prop solver time : 0.000
% 1.59/0.71 % Current number of processed clauses : 58
% 1.59/0.71 % Positive orientable unit clauses : 11
% 1.59/0.71 % Positive unorientable unit clauses: 0
% 1.59/0.71 % Negative unit clauses : 2
% 1.59/0.71 % Non-unit-clauses : 45
% 1.59/0.71 % Current number of unprocessed clauses: 171
% 1.59/0.71 % ...number of literals in the above : 922
% 1.59/0.71 % Current number of archived formulas : 0
% 1.59/0.71 % Current number of archived clauses : 356
% 1.59/0.71 % Clause-clause subsumption calls (NU) : 16483
% 1.59/0.71 % Rec. Clause-clause subsumption calls : 2228
% 1.59/0.71 % Non-unit clause-clause subsumptions : 439
% 1.59/0.71 % Unit Clause-clause subsumption calls : 307
% 1.59/0.71 % Rewrite failures with RHS unbound : 0
% 1.59/0.71 % BW rewrite match attempts : 12
% 1.59/0.71 % BW rewrite match successes : 5
% 1.59/0.71 % Condensation attempts : 0
% 1.59/0.71 % Condensation successes : 0
% 1.59/0.71 % Termbank termtop insertions : 51794
% 1.59/0.71 % Search garbage collected termcells : 321
% 1.59/0.71
% 1.59/0.71 % -------------------------------------------------
% 1.59/0.71 % User time : 0.133 s
% 1.59/0.71 % System time : 0.007 s
% 1.59/0.71 % Total time : 0.140 s
% 1.59/0.71 % Maximum resident set size: 3384 pages
% 1.59/0.71
% 1.59/0.71 % -------------------------------------------------
% 1.59/0.71 % User time : 0.771 s
% 1.59/0.71 % System time : 0.033 s
% 1.59/0.71 % Total time : 0.804 s
% 1.59/0.71 % Maximum resident set size: 4608 pages
% 1.59/0.71 % E exiting
%------------------------------------------------------------------------------