%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : MGT035+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 22:10:07 EDT 2022
% Result : Theorem 0.14s 1.32s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 19
% Syntax : Number of formulae : 204 ( 13 unt; 0 def)
% Number of atoms : 820 ( 142 equ)
% Maximal formula atoms : 40 ( 4 avg)
% Number of connectives : 1017 ( 401 ~; 521 |; 65 &)
% ( 2 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 19 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 283 ( 4 sgn 91 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_t4,conjecture,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X13] :
( in_environment(X1,X13)
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X1,X2)
& greater_or_equal(X2,X13) )
=> outcompetes(efficient_producers,first_movers,X2) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_t4) ).
fof(mp_growth_rate,axiom,
! [X3,X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& subpopulation(X3,X1,X2)
& greater(cardinality_at_time(X3,X2),zero) )
=> ( ( constant(cardinality_at_time(X3,X2))
=> growth_rate(X3,X2) = zero )
& ( increases(cardinality_at_time(X3,X2))
=> greater(growth_rate(X3,X2),zero) )
& ( decreases(cardinality_at_time(X3,X2))
=> greater(zero,growth_rate(X3,X2)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_growth_rate) ).
fof(mp_FM_and_EP_organisational,axiom,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2) )
=> ( subpopulation(first_movers,X1,X2)
& subpopulation(efficient_producers,X1,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_FM_and_EP_organisational) ).
fof(mp_time_point_in_environment,axiom,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> in_environment(X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_time_point_in_environment) ).
fof(mp_positive_number_of_organizations,axiom,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> ( greater(cardinality_at_time(first_movers,X2),zero)
& greater(cardinality_at_time(efficient_producers,X2),zero) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_positive_number_of_organizations) ).
fof(mp_abc_sum_increase,axiom,
! [X4,X5,X6] :
( ( X4 = sum(X5,X6)
& constant(X4) )
=> ( ( constant(X5)
& constant(X6) )
| ( increases(X5)
& decreases(X6) )
| ( decreases(X5)
& increases(X6) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_abc_sum_increase) ).
fof(mp_only_members,axiom,
! [X1,X3,X2] :
( ( environment(X1)
& subpopulation(X3,X1,X2)
& ( greater(cardinality_at_time(X3,X2),zero)
=> ( X3 = efficient_producers
| X3 = first_movers ) ) )
=> number_of_organizations(X1,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_only_members) ).
fof(a7,hypothesis,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2) )
=> ( ( decreases(resources(X1,X2))
=> ~ decreases(number_of_organizations(X1,X2)) )
& ( constant(resources(X1,X2))
=> constant(number_of_organizations(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',a7) ).
fof(a4,hypothesis,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& greater(number_of_organizations(X1,X2),zero) )
=> ( ( greater(equilibrium(X1),X2)
=> decreases(resources(X1,X2)) )
& ( ~ greater(equilibrium(X1),X2)
=> constant(resources(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',a4) ).
fof(mp_environment_not_empty,axiom,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> greater(number_of_organizations(X1,X2),zero) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_environment_not_empty) ).
fof(d2,hypothesis,
! [X1,X11,X12,X2] :
( ( environment(X1)
& subpopulations(X11,X12,X1,X2) )
=> ( ( greater_or_equal(growth_rate(X12,X2),zero)
& greater(zero,growth_rate(X11,X2)) )
<=> outcompetes(X12,X11,X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d2) ).
fof(mp_greater_or_equal,axiom,
! [X3,X7] :
( greater_or_equal(X3,X7)
<=> ( greater(X3,X7)
| X3 = X7 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_greater_or_equal) ).
fof(l1,hypothesis,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X13] :
( in_environment(X1,X13)
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X1,X2)
& greater_or_equal(X2,X13) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l1) ).
fof(mp6_2,axiom,
! [X3,X7] :
~ ( greater(X3,X7)
& greater(X7,X3) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp6_2) ).
fof(mp6_1,axiom,
! [X3,X7] :
~ ( greater(X3,X7)
& X3 = X7 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp6_1) ).
fof(mp_greater_transitivity,axiom,
! [X3,X7,X8] :
( ( greater(X3,X7)
& greater(X7,X8) )
=> greater(X3,X8) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_greater_transitivity) ).
fof(mp_times_in_environment,axiom,
! [X1,X9,X10] :
( ( in_environment(X1,X9)
& in_environment(X1,X10) )
=> ( greater(X10,X9)
| X10 = X9
| greater(X9,X10) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_times_in_environment) ).
fof(a5,hypothesis,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X2] :
( in_environment(X1,X2)
& greater_or_equal(X2,equilibrium(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',a5) ).
fof(mp_equilibrium,axiom,
! [X1,X2] :
( ( environment(X1)
& greater_or_equal(X2,equilibrium(X1)) )
=> ~ greater(equilibrium(X1),X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mp_equilibrium) ).
fof(c_0_19,negated_conjecture,
~ ! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X13] :
( in_environment(X1,X13)
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X1,X2)
& greater_or_equal(X2,X13) )
=> outcompetes(efficient_producers,first_movers,X2) ) ) ),
inference(assume_negation,[status(cth)],[prove_t4]) ).
fof(c_0_20,plain,
! [X4,X5,X6] :
( ( ~ constant(cardinality_at_time(X4,X6))
| growth_rate(X4,X6) = zero
| ~ environment(X5)
| ~ in_environment(X5,X6)
| ~ subpopulation(X4,X5,X6)
| ~ greater(cardinality_at_time(X4,X6),zero) )
& ( ~ increases(cardinality_at_time(X4,X6))
| greater(growth_rate(X4,X6),zero)
| ~ environment(X5)
| ~ in_environment(X5,X6)
| ~ subpopulation(X4,X5,X6)
| ~ greater(cardinality_at_time(X4,X6),zero) )
& ( ~ decreases(cardinality_at_time(X4,X6))
| greater(zero,growth_rate(X4,X6))
| ~ environment(X5)
| ~ in_environment(X5,X6)
| ~ subpopulation(X4,X5,X6)
| ~ greater(cardinality_at_time(X4,X6),zero) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_growth_rate])])]) ).
fof(c_0_21,plain,
! [X3,X4] :
( ( subpopulation(first_movers,X3,X4)
| ~ environment(X3)
| ~ in_environment(X3,X4) )
& ( subpopulation(efficient_producers,X3,X4)
| ~ environment(X3)
| ~ in_environment(X3,X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_FM_and_EP_organisational])])]) ).
fof(c_0_22,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| in_environment(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_point_in_environment])]) ).
fof(c_0_23,negated_conjecture,
! [X15] :
( environment(esk3_0)
& stable(esk3_0)
& ( subpopulations(first_movers,efficient_producers,esk3_0,esk4_1(X15))
| ~ in_environment(esk3_0,X15) )
& ( greater_or_equal(esk4_1(X15),X15)
| ~ in_environment(esk3_0,X15) )
& ( ~ outcompetes(efficient_producers,first_movers,esk4_1(X15))
| ~ in_environment(esk3_0,X15) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])])])]) ).
fof(c_0_24,plain,
! [X3,X4] :
( ( greater(cardinality_at_time(first_movers,X4),zero)
| ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4) )
& ( greater(cardinality_at_time(efficient_producers,X4),zero)
| ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_positive_number_of_organizations])])]) ).
cnf(c_0_25,plain,
( greater(growth_rate(X1,X2),zero)
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X3,X2)
| ~ in_environment(X3,X2)
| ~ environment(X3)
| ~ increases(cardinality_at_time(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( subpopulation(efficient_producers,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( in_environment(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk3_0,esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,negated_conjecture,
environment(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
( greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,plain,
( greater(zero,growth_rate(X1,X2))
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X3,X2)
| ~ in_environment(X3,X2)
| ~ environment(X3)
| ~ decreases(cardinality_at_time(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_32,plain,
! [X7,X8,X9] :
( ( decreases(X8)
| increases(X8)
| constant(X8)
| X7 != sum(X8,X9)
| ~ constant(X7) )
& ( increases(X9)
| increases(X8)
| constant(X8)
| X7 != sum(X8,X9)
| ~ constant(X7) )
& ( decreases(X8)
| decreases(X9)
| constant(X8)
| X7 != sum(X8,X9)
| ~ constant(X7) )
& ( increases(X9)
| decreases(X9)
| constant(X8)
| X7 != sum(X8,X9)
| ~ constant(X7) )
& ( decreases(X8)
| increases(X8)
| constant(X9)
| X7 != sum(X8,X9)
| ~ constant(X7) )
& ( increases(X9)
| increases(X8)
| constant(X9)
| X7 != sum(X8,X9)
| ~ constant(X7) )
& ( decreases(X8)
| decreases(X9)
| constant(X9)
| X7 != sum(X8,X9)
| ~ constant(X7) )
& ( increases(X9)
| decreases(X9)
| constant(X9)
| X7 != sum(X8,X9)
| ~ constant(X7) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_abc_sum_increase])])]) ).
fof(c_0_33,plain,
! [X4,X5,X6] :
( ( greater(cardinality_at_time(X5,X6),zero)
| ~ environment(X4)
| ~ subpopulation(X5,X4,X6)
| number_of_organizations(X4,X6) = sum(cardinality_at_time(first_movers,X6),cardinality_at_time(efficient_producers,X6)) )
& ( X5 != efficient_producers
| ~ environment(X4)
| ~ subpopulation(X5,X4,X6)
| number_of_organizations(X4,X6) = sum(cardinality_at_time(first_movers,X6),cardinality_at_time(efficient_producers,X6)) )
& ( X5 != first_movers
| ~ environment(X4)
| ~ subpopulation(X5,X4,X6)
| number_of_organizations(X4,X6) = sum(cardinality_at_time(first_movers,X6),cardinality_at_time(efficient_producers,X6)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_only_members])])]) ).
fof(c_0_34,hypothesis,
! [X3,X4] :
( ( ~ decreases(resources(X3,X4))
| ~ decreases(number_of_organizations(X3,X4))
| ~ environment(X3)
| ~ in_environment(X3,X4) )
& ( ~ constant(resources(X3,X4))
| constant(number_of_organizations(X3,X4))
| ~ environment(X3)
| ~ in_environment(X3,X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[a7])])])]) ).
fof(c_0_35,hypothesis,
! [X3,X4] :
( ( ~ greater(equilibrium(X3),X4)
| decreases(resources(X3,X4))
| ~ environment(X3)
| ~ in_environment(X3,X4)
| ~ greater(number_of_organizations(X3,X4),zero) )
& ( greater(equilibrium(X3),X4)
| constant(resources(X3,X4))
| ~ environment(X3)
| ~ in_environment(X3,X4)
| ~ greater(number_of_organizations(X3,X4),zero) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[a4])])])]) ).
fof(c_0_36,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| greater(number_of_organizations(X3,X4),zero) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_environment_not_empty])]) ).
fof(c_0_37,hypothesis,
! [X13,X14,X15,X16] :
( ( ~ greater_or_equal(growth_rate(X15,X16),zero)
| ~ greater(zero,growth_rate(X14,X16))
| outcompetes(X15,X14,X16)
| ~ environment(X13)
| ~ subpopulations(X14,X15,X13,X16) )
& ( greater_or_equal(growth_rate(X15,X16),zero)
| ~ outcompetes(X15,X14,X16)
| ~ environment(X13)
| ~ subpopulations(X14,X15,X13,X16) )
& ( greater(zero,growth_rate(X14,X16))
| ~ outcompetes(X15,X14,X16)
| ~ environment(X13)
| ~ subpopulations(X14,X15,X13,X16) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2])])]) ).
fof(c_0_38,plain,
! [X8,X9,X8,X9] :
( ( ~ greater_or_equal(X8,X9)
| greater(X8,X9)
| X8 = X9 )
& ( ~ greater(X8,X9)
| greater_or_equal(X8,X9) )
& ( X8 != X9
| greater_or_equal(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_or_equal])])])])]) ).
cnf(c_0_39,plain,
( greater(growth_rate(efficient_producers,X1),zero)
| ~ increases(cardinality_at_time(efficient_producers,X1))
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_40,negated_conjecture,
( in_environment(esk3_0,esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_41,negated_conjecture,
( greater(cardinality_at_time(efficient_producers,esk4_1(X1)),zero)
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_29])]) ).
fof(c_0_42,hypothesis,
! [X14,X16] :
( ( in_environment(X14,esk2_1(X14))
| ~ environment(X14)
| ~ stable(X14) )
& ( ~ subpopulations(first_movers,efficient_producers,X14,X16)
| ~ greater_or_equal(X16,esk2_1(X14))
| greater(growth_rate(efficient_producers,X16),growth_rate(first_movers,X16))
| ~ environment(X14)
| ~ stable(X14) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l1])])])])])])]) ).
fof(c_0_43,plain,
! [X8,X9] :
( ~ greater(X8,X9)
| ~ greater(X9,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp6_2])]) ).
cnf(c_0_44,plain,
( greater(zero,growth_rate(efficient_producers,X1))
| ~ decreases(cardinality_at_time(efficient_producers,X1))
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_26]) ).
cnf(c_0_45,plain,
( constant(X3)
| decreases(X3)
| decreases(X2)
| ~ constant(X1)
| X1 != sum(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_46,plain,
( number_of_organizations(X1,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ~ subpopulation(X3,X1,X2)
| ~ environment(X1)
| X3 != first_movers ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_47,plain,
( subpopulation(first_movers,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_48,hypothesis,
( constant(number_of_organizations(X1,X2))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| ~ constant(resources(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_49,hypothesis,
( constant(resources(X1,X2))
| greater(equilibrium(X1),X2)
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_50,plain,
( greater(number_of_organizations(X1,X2),zero)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_51,plain,
( growth_rate(X1,X2) = zero
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X3,X2)
| ~ in_environment(X3,X2)
| ~ environment(X3)
| ~ constant(cardinality_at_time(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_52,plain,
! [X8,X9] :
( ~ greater(X8,X9)
| X8 != X9 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp6_1])]) ).
cnf(c_0_53,hypothesis,
( outcompetes(X2,X1,X4)
| ~ subpopulations(X1,X2,X3,X4)
| ~ environment(X3)
| ~ greater(zero,growth_rate(X1,X4))
| ~ greater_or_equal(growth_rate(X2,X4),zero) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_54,negated_conjecture,
( ~ in_environment(esk3_0,X1)
| ~ outcompetes(efficient_producers,first_movers,esk4_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_55,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_56,negated_conjecture,
( greater(growth_rate(efficient_producers,esk4_1(X1)),zero)
| ~ increases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_29])]),c_0_41]) ).
cnf(c_0_57,plain,
( greater(cardinality_at_time(first_movers,X2),zero)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_58,plain,
! [X9,X10,X11] :
( ~ greater(X9,X10)
| ~ greater(X10,X11)
| greater(X9,X11) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_transitivity])]) ).
cnf(c_0_59,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ stable(X1)
| ~ environment(X1)
| ~ greater_or_equal(X2,esk2_1(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_60,negated_conjecture,
stable(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_61,plain,
( constant(X3)
| decreases(X3)
| increases(X3)
| ~ constant(X1)
| X1 != sum(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_62,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_63,negated_conjecture,
( greater(zero,growth_rate(efficient_producers,esk4_1(X1)))
| ~ decreases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_40]),c_0_29])]),c_0_41]) ).
cnf(c_0_64,plain,
( decreases(X1)
| decreases(X2)
| constant(X1)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_45]) ).
cnf(c_0_65,plain,
( number_of_organizations(X1,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_66,hypothesis,
( constant(number_of_organizations(X1,X2))
| greater(equilibrium(X1),X2)
| ~ greater(number_of_organizations(X1,X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_67,negated_conjecture,
( greater(number_of_organizations(esk3_0,esk4_1(X1)),zero)
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_28]),c_0_29])]) ).
cnf(c_0_68,plain,
( growth_rate(efficient_producers,X1) = zero
| ~ constant(cardinality_at_time(efficient_producers,X1))
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_26]) ).
cnf(c_0_69,plain,
( X1 != X2
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_70,negated_conjecture,
( ~ greater_or_equal(growth_rate(efficient_producers,esk4_1(X1)),zero)
| ~ greater(zero,growth_rate(first_movers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_28]),c_0_29])]),c_0_54]) ).
cnf(c_0_71,negated_conjecture,
( greater_or_equal(growth_rate(efficient_producers,esk4_1(X1)),zero)
| ~ increases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_72,plain,
( greater(zero,growth_rate(first_movers,X1))
| ~ decreases(cardinality_at_time(first_movers,X1))
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_47]) ).
cnf(c_0_73,negated_conjecture,
( greater(cardinality_at_time(first_movers,esk4_1(X1)),zero)
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_28]),c_0_29])]) ).
cnf(c_0_74,plain,
( constant(X3)
| increases(X2)
| increases(X3)
| ~ constant(X1)
| X1 != sum(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_75,plain,
( greater(growth_rate(first_movers,X1),zero)
| ~ increases(cardinality_at_time(first_movers,X1))
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_47]) ).
cnf(c_0_76,plain,
( greater(X1,X2)
| ~ greater(X3,X2)
| ~ greater(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_77,negated_conjecture,
( greater(growth_rate(efficient_producers,esk4_1(X1)),growth_rate(first_movers,esk4_1(X1)))
| ~ greater_or_equal(esk4_1(X1),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_28]),c_0_60]),c_0_29])]) ).
cnf(c_0_78,plain,
( decreases(X1)
| increases(X1)
| constant(X1)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_61]) ).
cnf(c_0_79,negated_conjecture,
( ~ decreases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ greater(growth_rate(efficient_producers,esk4_1(X1)),zero)
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_80,plain,
( decreases(cardinality_at_time(first_movers,X1))
| decreases(cardinality_at_time(efficient_producers,X1))
| constant(cardinality_at_time(efficient_producers,X1))
| ~ constant(number_of_organizations(X2,X1))
| ~ in_environment(X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_81,negated_conjecture,
( constant(number_of_organizations(esk3_0,esk4_1(X1)))
| greater(equilibrium(esk3_0),esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_29])]),c_0_40]) ).
cnf(c_0_82,negated_conjecture,
( growth_rate(efficient_producers,esk4_1(X1)) = zero
| ~ constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_40]),c_0_29])]),c_0_41]) ).
cnf(c_0_83,plain,
~ greater(X1,X1),
inference(er,[status(thm)],[c_0_69]) ).
cnf(c_0_84,negated_conjecture,
( ~ increases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ greater(zero,growth_rate(first_movers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_85,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk4_1(X1)))
| ~ decreases(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_40]),c_0_29])]),c_0_73]) ).
cnf(c_0_86,plain,
( increases(X1)
| increases(X2)
| constant(X1)
| ~ constant(sum(X2,X1)) ),
inference(er,[status(thm)],[c_0_74]) ).
cnf(c_0_87,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_88,negated_conjecture,
( greater(growth_rate(first_movers,esk4_1(X1)),zero)
| ~ increases(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_40]),c_0_29])]),c_0_73]) ).
cnf(c_0_89,negated_conjecture,
( greater(X1,growth_rate(first_movers,esk4_1(X2)))
| ~ greater_or_equal(esk4_1(X2),esk2_1(esk3_0))
| ~ greater(X1,growth_rate(efficient_producers,esk4_1(X2)))
| ~ in_environment(esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_90,plain,
( number_of_organizations(X1,X2) = number_of_organizations(X3,X2)
| ~ in_environment(X1,X2)
| ~ in_environment(X3,X2)
| ~ environment(X1)
| ~ environment(X3) ),
inference(spm,[status(thm)],[c_0_65,c_0_65]) ).
cnf(c_0_91,plain,
( decreases(cardinality_at_time(efficient_producers,X1))
| increases(cardinality_at_time(efficient_producers,X1))
| constant(cardinality_at_time(efficient_producers,X1))
| ~ constant(number_of_organizations(X2,X1))
| ~ in_environment(X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_65]) ).
cnf(c_0_92,negated_conjecture,
( ~ decreases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ increases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_56]) ).
cnf(c_0_93,negated_conjecture,
( decreases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| decreases(cardinality_at_time(first_movers,esk4_1(X1)))
| constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| greater(equilibrium(esk3_0),esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_29])]),c_0_40]) ).
cnf(c_0_94,negated_conjecture,
( ~ increases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_82]),c_0_83]) ).
cnf(c_0_95,negated_conjecture,
( ~ decreases(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ increases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_96,plain,
( increases(cardinality_at_time(first_movers,X1))
| increases(cardinality_at_time(efficient_producers,X1))
| constant(cardinality_at_time(efficient_producers,X1))
| ~ constant(number_of_organizations(X2,X1))
| ~ in_environment(X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_86,c_0_65]) ).
cnf(c_0_97,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_87]) ).
fof(c_0_98,plain,
! [X11,X12,X13] :
( ~ in_environment(X11,X12)
| ~ in_environment(X11,X13)
| greater(X13,X12)
| X13 = X12
| greater(X12,X13) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_times_in_environment])]) ).
cnf(c_0_99,negated_conjecture,
( greater(X1,zero)
| ~ increases(cardinality_at_time(first_movers,esk4_1(X2)))
| ~ greater(X1,growth_rate(first_movers,esk4_1(X2)))
| ~ in_environment(esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_88]) ).
cnf(c_0_100,negated_conjecture,
( greater(zero,growth_rate(first_movers,esk4_1(X1)))
| ~ greater_or_equal(esk4_1(X1),esk2_1(esk3_0))
| ~ decreases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_63]) ).
cnf(c_0_101,negated_conjecture,
( constant(number_of_organizations(X1,esk4_1(X2)))
| greater(equilibrium(esk3_0),esk4_1(X2))
| ~ in_environment(X1,esk4_1(X2))
| ~ in_environment(esk3_0,X2)
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_90]),c_0_29])]),c_0_40]) ).
cnf(c_0_102,negated_conjecture,
( decreases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| increases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| greater(equilibrium(esk3_0),esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_81]),c_0_29])]),c_0_40]) ).
cnf(c_0_103,negated_conjecture,
( greater(equilibrium(esk3_0),esk4_1(X1))
| ~ increases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]),c_0_95]) ).
cnf(c_0_104,negated_conjecture,
( increases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| increases(cardinality_at_time(first_movers,esk4_1(X1)))
| constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| greater(equilibrium(esk3_0),esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_81]),c_0_29])]),c_0_40]) ).
cnf(c_0_105,negated_conjecture,
( ~ constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ greater(zero,growth_rate(first_movers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_82]),c_0_97])]) ).
cnf(c_0_106,plain,
( greater(X1,X2)
| X2 = X1
| greater(X2,X1)
| ~ in_environment(X3,X2)
| ~ in_environment(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_107,hypothesis,
( in_environment(X1,esk2_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_108,hypothesis,
! [X3] :
( ( in_environment(X3,esk1_1(X3))
| ~ environment(X3)
| ~ stable(X3) )
& ( greater_or_equal(esk1_1(X3),equilibrium(X3))
| ~ environment(X3)
| ~ stable(X3) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a5])])])])])]) ).
cnf(c_0_109,negated_conjecture,
( ~ greater_or_equal(esk4_1(X1),esk2_1(esk3_0))
| ~ decreases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ increases(cardinality_at_time(first_movers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_83]) ).
cnf(c_0_110,negated_conjecture,
( decreases(cardinality_at_time(efficient_producers,esk4_1(X1)))
| constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| greater(equilibrium(esk3_0),esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_101]),c_0_102]),c_0_102]),c_0_103]) ).
cnf(c_0_111,negated_conjecture,
( increases(cardinality_at_time(first_movers,esk4_1(X1)))
| constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| greater(equilibrium(esk3_0),esk4_1(X1))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_112,negated_conjecture,
( ~ greater_or_equal(esk4_1(X1),esk2_1(esk3_0))
| ~ constant(cardinality_at_time(efficient_producers,esk4_1(X1)))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_82]),c_0_105]) ).
cnf(c_0_113,plain,
( X1 = X2
| greater(X1,X2)
| ~ greater_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_114,hypothesis,
( X1 = esk2_1(X2)
| greater(esk2_1(X2),X1)
| greater(X1,esk2_1(X2))
| ~ stable(X2)
| ~ in_environment(X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_115,hypothesis,
( in_environment(X1,esk1_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_116,negated_conjecture,
( greater(equilibrium(esk3_0),esk4_1(X1))
| ~ greater_or_equal(esk4_1(X1),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]),c_0_112]) ).
cnf(c_0_117,plain,
( X1 = X2
| greater(X3,X2)
| ~ greater_or_equal(X1,X2)
| ~ greater(X3,X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_113]) ).
cnf(c_0_118,hypothesis,
( greater_or_equal(esk1_1(X1),equilibrium(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_119,hypothesis,
( esk2_1(X1) = esk1_1(X1)
| greater(esk1_1(X1),esk2_1(X1))
| greater(esk2_1(X1),esk1_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_120,negated_conjecture,
( greater(equilibrium(esk3_0),esk4_1(esk4_1(X1)))
| ~ greater_or_equal(esk4_1(esk4_1(X1)),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_40]) ).
cnf(c_0_121,hypothesis,
( equilibrium(X1) = esk1_1(X1)
| greater(X2,equilibrium(X1))
| ~ stable(X1)
| ~ greater(X2,esk1_1(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,hypothesis,
( esk2_1(X1) = esk1_1(X1)
| greater_or_equal(esk2_1(X1),esk1_1(X1))
| greater(esk1_1(X1),esk2_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_119]) ).
cnf(c_0_123,negated_conjecture,
( greater_or_equal(esk4_1(X1),X1)
| ~ in_environment(esk3_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_124,negated_conjecture,
( greater(equilibrium(esk3_0),esk4_1(esk4_1(esk4_1(X1))))
| ~ greater_or_equal(esk4_1(esk4_1(esk4_1(X1))),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_120,c_0_40]) ).
cnf(c_0_125,hypothesis,
( equilibrium(X1) = esk1_1(X1)
| greater(X2,equilibrium(X1))
| ~ stable(X1)
| ~ greater(X3,esk1_1(X1))
| ~ greater(X2,X3)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_121]) ).
cnf(c_0_126,hypothesis,
( esk2_1(X1) = esk1_1(X1)
| greater_or_equal(esk2_1(X1),esk1_1(X1))
| greater(X2,esk2_1(X1))
| ~ stable(X1)
| ~ greater(X2,esk1_1(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_122]) ).
cnf(c_0_127,negated_conjecture,
greater_or_equal(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_107]),c_0_60]),c_0_29])]) ).
cnf(c_0_128,negated_conjecture,
( greater(equilibrium(esk3_0),esk4_1(esk4_1(esk4_1(esk4_1(X1)))))
| ~ greater_or_equal(esk4_1(esk4_1(esk4_1(esk4_1(X1)))),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_124,c_0_40]) ).
cnf(c_0_129,hypothesis,
( equilibrium(X1) = esk1_1(X1)
| X2 = esk1_1(X1)
| greater(X3,equilibrium(X1))
| ~ stable(X1)
| ~ greater_or_equal(X2,esk1_1(X1))
| ~ greater(X3,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_113]) ).
cnf(c_0_130,negated_conjecture,
greater_or_equal(esk4_1(esk1_1(esk3_0)),esk1_1(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_115]),c_0_60]),c_0_29])]) ).
cnf(c_0_131,hypothesis,
( esk2_1(X1) = esk1_1(X1)
| greater_or_equal(esk2_1(X1),esk1_1(X1))
| greater_or_equal(X2,esk2_1(X1))
| ~ stable(X1)
| ~ greater(X2,esk1_1(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_126]) ).
fof(c_0_132,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ greater_or_equal(X4,equilibrium(X3))
| ~ greater(equilibrium(X3),X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mp_equilibrium])])]) ).
cnf(c_0_133,negated_conjecture,
( esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| greater(X1,esk2_1(esk3_0))
| ~ greater(X1,esk4_1(esk2_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_117,c_0_127]) ).
cnf(c_0_134,negated_conjecture,
( greater(equilibrium(esk3_0),esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1))))))
| ~ greater_or_equal(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1))))),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_128,c_0_40]) ).
cnf(c_0_135,negated_conjecture,
( esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk1_1(esk3_0)
| greater(X1,equilibrium(esk3_0))
| ~ greater(X1,esk4_1(esk1_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_60]),c_0_29])]) ).
cnf(c_0_136,plain,
( X1 = X2
| ~ greater_or_equal(X1,X2)
| ~ greater(X2,X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_113]) ).
cnf(c_0_137,hypothesis,
( esk2_1(X1) = esk1_1(X1)
| X2 = esk1_1(X1)
| greater_or_equal(esk2_1(X1),esk1_1(X1))
| greater_or_equal(X2,esk2_1(X1))
| ~ stable(X1)
| ~ greater_or_equal(X2,esk1_1(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_113]) ).
cnf(c_0_138,plain,
( ~ greater(equilibrium(X1),X2)
| ~ greater_or_equal(X2,equilibrium(X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_139,negated_conjecture,
( esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| X1 = esk4_1(esk2_1(esk3_0))
| greater(X1,esk2_1(esk3_0))
| ~ greater_or_equal(X1,esk4_1(esk2_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_133,c_0_113]) ).
cnf(c_0_140,hypothesis,
greater(equilibrium(esk3_0),esk4_1(esk2_1(esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_107]),c_0_127]),c_0_60]),c_0_29])]) ).
cnf(c_0_141,hypothesis,
( equilibrium(X1) = esk1_1(X1)
| greater_or_equal(X2,equilibrium(X1))
| ~ stable(X1)
| ~ greater(X2,esk1_1(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_121]) ).
cnf(c_0_142,negated_conjecture,
( greater(equilibrium(esk3_0),esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1)))))))
| ~ greater_or_equal(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1)))))),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_134,c_0_40]) ).
cnf(c_0_143,negated_conjecture,
( esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk1_1(esk3_0)
| ~ greater(equilibrium(esk3_0),esk4_1(esk1_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_83,c_0_135]) ).
cnf(c_0_144,hypothesis,
( greater(equilibrium(esk3_0),esk4_1(esk1_1(esk3_0)))
| ~ greater_or_equal(esk4_1(esk1_1(esk3_0)),esk2_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_115]),c_0_60]),c_0_29])]) ).
cnf(c_0_145,plain,
( X1 = X2
| ~ greater_or_equal(X1,X2)
| ~ greater_or_equal(X2,X1) ),
inference(spm,[status(thm)],[c_0_136,c_0_113]) ).
cnf(c_0_146,negated_conjecture,
( esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| greater_or_equal(esk4_1(esk1_1(esk3_0)),esk2_1(esk3_0))
| greater_or_equal(esk2_1(esk3_0),esk1_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_130]),c_0_60]),c_0_29])]) ).
cnf(c_0_147,negated_conjecture,
( esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| equilibrium(X1) = esk4_1(esk2_1(esk3_0))
| ~ greater_or_equal(equilibrium(X1),esk4_1(esk2_1(esk3_0)))
| ~ greater_or_equal(esk2_1(esk3_0),equilibrium(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_148,hypothesis,
greater_or_equal(equilibrium(esk3_0),esk4_1(esk2_1(esk3_0))),
inference(spm,[status(thm)],[c_0_55,c_0_140]) ).
cnf(c_0_149,hypothesis,
( esk2_1(X1) = esk1_1(X1)
| equilibrium(X1) = esk1_1(X1)
| greater_or_equal(esk2_1(X1),equilibrium(X1))
| greater(esk1_1(X1),esk2_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_141,c_0_119]) ).
cnf(c_0_150,negated_conjecture,
( greater(equilibrium(esk3_0),esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1))))))))
| ~ greater_or_equal(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1))))))),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_40]) ).
cnf(c_0_151,hypothesis,
( greater(X1,esk4_1(esk2_1(esk3_0)))
| ~ greater(X1,equilibrium(esk3_0)) ),
inference(spm,[status(thm)],[c_0_76,c_0_140]) ).
cnf(c_0_152,negated_conjecture,
( esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk1_1(esk3_0)
| ~ greater_or_equal(esk4_1(esk1_1(esk3_0)),esk2_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_153,negated_conjecture,
( esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| greater_or_equal(esk4_1(esk1_1(esk3_0)),esk2_1(esk3_0))
| ~ greater_or_equal(esk1_1(esk3_0),esk2_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_154,negated_conjecture,
( equilibrium(esk3_0) = esk4_1(esk2_1(esk3_0))
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| ~ greater_or_equal(esk2_1(esk3_0),equilibrium(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_29])]) ).
cnf(c_0_155,hypothesis,
( equilibrium(X1) = esk1_1(X1)
| esk2_1(X1) = esk1_1(X1)
| greater_or_equal(esk2_1(X1),equilibrium(X1))
| greater_or_equal(esk1_1(X1),esk2_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_149]) ).
cnf(c_0_156,negated_conjecture,
( greater(equilibrium(esk3_0),esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1)))))))))
| ~ greater_or_equal(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1)))))))),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_150,c_0_40]) ).
cnf(c_0_157,hypothesis,
( X1 = equilibrium(esk3_0)
| greater(X1,esk4_1(esk2_1(esk3_0)))
| ~ greater_or_equal(X1,equilibrium(esk3_0)) ),
inference(spm,[status(thm)],[c_0_151,c_0_113]) ).
cnf(c_0_158,negated_conjecture,
( esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk1_1(esk3_0)
| ~ greater_or_equal(esk1_1(esk3_0),esk2_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_159,hypothesis,
( esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| equilibrium(esk3_0) = esk4_1(esk2_1(esk3_0))
| esk2_1(esk3_0) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk1_1(esk3_0)
| greater_or_equal(esk1_1(esk3_0),esk2_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_60]),c_0_29])]) ).
cnf(c_0_160,negated_conjecture,
( greater(equilibrium(esk3_0),esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1))))))))))
| ~ greater_or_equal(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1))))))))),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_40]) ).
cnf(c_0_161,hypothesis,
( esk4_1(esk2_1(esk3_0)) = X1
| X1 = equilibrium(esk3_0)
| ~ greater_or_equal(esk4_1(esk2_1(esk3_0)),X1)
| ~ greater_or_equal(X1,equilibrium(esk3_0)) ),
inference(spm,[status(thm)],[c_0_136,c_0_157]) ).
cnf(c_0_162,hypothesis,
( equilibrium(esk3_0) = esk4_1(esk2_1(esk3_0))
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk1_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_163,negated_conjecture,
( greater(equilibrium(esk3_0),esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1)))))))))))
| ~ greater_or_equal(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1)))))))))),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_40]) ).
cnf(c_0_164,negated_conjecture,
( esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| equilibrium(esk3_0) = esk2_1(esk3_0)
| ~ greater_or_equal(esk2_1(esk3_0),equilibrium(esk3_0)) ),
inference(spm,[status(thm)],[c_0_161,c_0_127]) ).
cnf(c_0_165,hypothesis,
( esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk1_1(esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_162]),c_0_83]) ).
cnf(c_0_166,negated_conjecture,
( greater(equilibrium(esk3_0),esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1))))))))))))
| ~ greater_or_equal(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1))))))))))),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_163,c_0_40]) ).
cnf(c_0_167,hypothesis,
( esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| ~ greater_or_equal(esk2_1(esk3_0),esk1_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_168,negated_conjecture,
( greater(equilibrium(esk3_0),esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1)))))))))))))
| ~ greater_or_equal(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1)))))))))))),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_40]) ).
cnf(c_0_169,hypothesis,
( ~ greater_or_equal(esk4_1(esk1_1(esk3_0)),equilibrium(esk3_0))
| ~ greater_or_equal(esk4_1(esk1_1(esk3_0)),esk2_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_144]),c_0_29])]) ).
cnf(c_0_170,negated_conjecture,
( esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| greater_or_equal(esk4_1(esk1_1(esk3_0)),esk2_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_167,c_0_146]) ).
cnf(c_0_171,hypothesis,
( X1 = equilibrium(esk3_0)
| greater_or_equal(X1,esk4_1(esk2_1(esk3_0)))
| ~ greater_or_equal(X1,equilibrium(esk3_0)) ),
inference(spm,[status(thm)],[c_0_55,c_0_157]) ).
cnf(c_0_172,negated_conjecture,
( greater(equilibrium(esk3_0),esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1))))))))))))))
| ~ greater_or_equal(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1))))))))))))),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_168,c_0_40]) ).
cnf(c_0_173,hypothesis,
~ greater_or_equal(esk4_1(esk2_1(esk3_0)),equilibrium(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_140]),c_0_29])]) ).
cnf(c_0_174,hypothesis,
( esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_165]),c_0_130])]),c_0_170]) ).
cnf(c_0_175,hypothesis,
( equilibrium(esk3_0) = esk1_1(esk3_0)
| greater_or_equal(esk1_1(esk3_0),esk4_1(esk2_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_118]),c_0_60]),c_0_29])]) ).
cnf(c_0_176,negated_conjecture,
( greater(equilibrium(esk3_0),esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1)))))))))))))))
| ~ greater_or_equal(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1)))))))))))))),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_172,c_0_40]) ).
cnf(c_0_177,hypothesis,
( esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| ~ greater_or_equal(esk2_1(esk3_0),equilibrium(esk3_0)) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_178,hypothesis,
( esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk1_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_174]),c_0_158]) ).
cnf(c_0_179,negated_conjecture,
( greater(equilibrium(esk3_0),esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1))))))))))))))))
| ~ greater_or_equal(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1))))))))))))))),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_176,c_0_40]) ).
cnf(c_0_180,hypothesis,
( esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| ~ greater_or_equal(esk2_1(esk3_0),esk1_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
cnf(c_0_181,negated_conjecture,
( greater(equilibrium(esk3_0),esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1)))))))))))))))))
| ~ greater_or_equal(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1)))))))))))))))),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_179,c_0_40]) ).
cnf(c_0_182,negated_conjecture,
( esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| greater(equilibrium(esk3_0),esk2_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_133,c_0_140]) ).
cnf(c_0_183,negated_conjecture,
( esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| greater_or_equal(esk4_1(esk1_1(esk3_0)),esk2_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_180,c_0_146]) ).
cnf(c_0_184,hypothesis,
( equilibrium(X1) = esk1_1(X1)
| X2 = esk1_1(X1)
| greater_or_equal(X2,equilibrium(X1))
| ~ stable(X1)
| ~ greater_or_equal(X2,esk1_1(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_141,c_0_113]) ).
cnf(c_0_185,negated_conjecture,
( greater(equilibrium(esk3_0),esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1))))))))))))))))))
| ~ greater_or_equal(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(X1))))))))))))))))),esk2_1(esk3_0))
| ~ in_environment(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_40]) ).
cnf(c_0_186,negated_conjecture,
( esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| ~ greater_or_equal(esk2_1(esk3_0),equilibrium(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_182]),c_0_29])]) ).
cnf(c_0_187,hypothesis,
( esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_178]),c_0_130])]),c_0_183]) ).
cnf(c_0_188,hypothesis,
( esk4_1(esk2_1(esk3_0)) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk1_1(esk3_0)
| ~ greater_or_equal(esk4_1(esk2_1(esk3_0)),esk1_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_184]),c_0_60]),c_0_29])]) ).
cnf(c_0_189,hypothesis,
( greater(equilibrium(esk3_0),esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk1_1(esk3_0)))))))))))))))))))
| ~ greater_or_equal(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk1_1(esk3_0)))))))))))))))))),esk2_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_115]),c_0_60]),c_0_29])]) ).
cnf(c_0_190,negated_conjecture,
( esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| ~ greater_or_equal(esk1_1(esk3_0),equilibrium(esk3_0)) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_191,hypothesis,
( esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk1_1(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_187]),c_0_130])]) ).
cnf(c_0_192,hypothesis,
( ~ greater_or_equal(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk1_1(esk3_0)))))))))))))))))),equilibrium(esk3_0))
| ~ greater_or_equal(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk4_1(esk1_1(esk3_0)))))))))))))))))),esk2_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_189]),c_0_29])]) ).
cnf(c_0_193,hypothesis,
esk4_1(esk1_1(esk3_0)) = esk1_1(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_97])]) ).
cnf(c_0_194,hypothesis,
( ~ greater_or_equal(esk1_1(esk3_0),equilibrium(esk3_0))
| ~ greater_or_equal(esk1_1(esk3_0),esk2_1(esk3_0)) ),
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(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(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(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)],[c_0_192,c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]),c_0_193]) ).
cnf(c_0_195,hypothesis,
( esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk1_1(esk3_0)
| greater_or_equal(esk1_1(esk3_0),esk2_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_155]),c_0_60]),c_0_29])]) ).
cnf(c_0_196,hypothesis,
~ greater_or_equal(esk1_1(esk3_0),esk2_1(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_118]),c_0_60]),c_0_29])]) ).
cnf(c_0_197,negated_conjecture,
( esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| greater_or_equal(equilibrium(esk3_0),esk2_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_55,c_0_182]) ).
cnf(c_0_198,hypothesis,
( esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| equilibrium(esk3_0) = esk1_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(sr,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_199,negated_conjecture,
( esk4_1(esk2_1(esk3_0)) = esk2_1(esk3_0)
| esk2_1(esk3_0) = esk1_1(esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_196]) ).
cnf(c_0_200,hypothesis,
( esk2_1(esk3_0) = esk1_1(esk3_0)
| greater_or_equal(equilibrium(esk3_0),esk2_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_148,c_0_199]) ).
cnf(c_0_201,hypothesis,
( esk2_1(esk3_0) = esk1_1(esk3_0)
| equilibrium(esk3_0) = esk1_1(esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_199]),c_0_196]) ).
cnf(c_0_202,hypothesis,
esk2_1(esk3_0) = esk1_1(esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_196]) ).
cnf(c_0_203,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_202]),c_0_97])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : MGT035+2 : TPTP v8.1.0. Released v2.0.0.
% 0.02/0.08 % Command : run_ET %s %d
% 0.08/0.26 % Computer : n032.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 600
% 0.08/0.26 % DateTime : Thu Jun 9 12:33:22 EDT 2022
% 0.08/0.26 % CPUTime :
% 0.14/1.32 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.14/1.32 # Preprocessing time : 0.010 s
% 0.14/1.32
% 0.14/1.32 # Proof found!
% 0.14/1.32 # SZS status Theorem
% 0.14/1.32 # SZS output start CNFRefutation
% See solution above
% 0.14/1.32 # Proof object total steps : 204
% 0.14/1.32 # Proof object clause steps : 165
% 0.14/1.32 # Proof object formula steps : 39
% 0.14/1.32 # Proof object conjectures : 76
% 0.14/1.32 # Proof object clause conjectures : 73
% 0.14/1.32 # Proof object formula conjectures : 3
% 0.14/1.32 # Proof object initial clauses used : 33
% 0.14/1.32 # Proof object initial formulas used : 19
% 0.14/1.32 # Proof object generating inferences : 127
% 0.14/1.32 # Proof object simplifying inferences : 158
% 0.14/1.32 # Training examples: 0 positive, 0 negative
% 0.14/1.32 # Parsed axioms : 20
% 0.14/1.32 # Removed by relevancy pruning/SinE : 0
% 0.14/1.32 # Initial clauses : 45
% 0.14/1.32 # Removed in clause preprocessing : 0
% 0.14/1.32 # Initial clauses in saturation : 45
% 0.14/1.32 # Processed clauses : 2187
% 0.14/1.32 # ...of these trivial : 0
% 0.14/1.32 # ...subsumed : 710
% 0.14/1.32 # ...remaining for further processing : 1477
% 0.14/1.32 # Other redundant clauses eliminated : 2
% 0.14/1.32 # Clauses deleted for lack of memory : 0
% 0.14/1.32 # Backward-subsumed : 108
% 0.14/1.32 # Backward-rewritten : 932
% 0.14/1.32 # Generated clauses : 11300
% 0.14/1.32 # ...of the previous two non-trivial : 10859
% 0.14/1.32 # Contextual simplify-reflections : 613
% 0.14/1.32 # Paramodulations : 11273
% 0.14/1.32 # Factorizations : 1
% 0.14/1.32 # Equation resolutions : 18
% 0.14/1.32 # Current number of processed clauses : 427
% 0.14/1.32 # Positive orientable unit clauses : 5
% 0.14/1.32 # Positive unorientable unit clauses: 0
% 0.14/1.32 # Negative unit clauses : 1
% 0.14/1.32 # Non-unit-clauses : 421
% 0.14/1.32 # Current number of unprocessed clauses: 912
% 0.14/1.32 # ...number of literals in the above : 4479
% 0.14/1.32 # Current number of archived formulas : 0
% 0.14/1.32 # Current number of archived clauses : 1048
% 0.14/1.32 # Clause-clause subsumption calls (NU) : 602009
% 0.14/1.32 # Rec. Clause-clause subsumption calls : 69714
% 0.14/1.32 # Non-unit clause-clause subsumptions : 1394
% 0.14/1.32 # Unit Clause-clause subsumption calls : 7711
% 0.14/1.32 # Rewrite failures with RHS unbound : 0
% 0.14/1.32 # BW rewrite match attempts : 6025
% 0.14/1.32 # BW rewrite match successes : 3
% 0.14/1.32 # Condensation attempts : 0
% 0.14/1.32 # Condensation successes : 0
% 0.14/1.32 # Termbank termtop insertions : 397886
% 0.14/1.32
% 0.14/1.32 # -------------------------------------------------
% 0.14/1.32 # User time : 0.337 s
% 0.14/1.32 # System time : 0.007 s
% 0.14/1.32 # Total time : 0.344 s
% 0.14/1.32 # Maximum resident set size: 12212 pages
% 0.14/23.31 eprover: CPU time limit exceeded, terminating
% 0.14/23.32 eprover: CPU time limit exceeded, terminating
% 0.14/23.33 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.14/23.33 eprover: No such file or directory
% 0.14/23.33 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.14/23.33 eprover: No such file or directory
% 0.14/23.34 eprover: CPU time limit exceeded, terminating
% 0.14/23.34 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.34 eprover: No such file or directory
% 0.14/23.34 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.14/23.34 eprover: No such file or directory
% 0.14/23.34 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.34 eprover: No such file or directory
% 0.14/23.34 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.14/23.34 eprover: No such file or directory
% 0.14/23.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.35 eprover: No such file or directory
% 0.14/23.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.14/23.35 eprover: No such file or directory
% 0.14/23.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.35 eprover: No such file or directory
% 0.14/23.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.35 eprover: No such file or directory
% 0.14/23.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.14/23.35 eprover: No such file or directory
% 0.14/23.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.35 eprover: No such file or directory
% 0.14/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.36 eprover: No such file or directory
% 0.14/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.36 eprover: No such file or directory
% 0.14/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.14/23.36 eprover: No such file or directory
% 0.14/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.36 eprover: No such file or directory
% 0.14/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.36 eprover: No such file or directory
% 0.14/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.14/23.36 eprover: No such file or directory
% 0.14/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.36 eprover: No such file or directory
% 0.14/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.37 eprover: No such file or directory
% 0.14/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.14/23.37 eprover: No such file or directory
% 0.14/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.37 eprover: No such file or directory
% 0.14/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.37 eprover: No such file or directory
% 0.14/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.14/23.37 eprover: No such file or directory
% 0.14/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.37 eprover: No such file or directory
% 0.14/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.37 eprover: No such file or directory
% 0.14/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.14/23.38 eprover: No such file or directory
% 0.14/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.38 eprover: No such file or directory
% 0.14/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.38 eprover: No such file or directory
% 0.14/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.38 eprover: No such file or directory
% 0.14/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.38 eprover: No such file or directory
% 0.14/23.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.39 eprover: No such file or directory
% 0.14/23.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.14/23.39 eprover: No such file or directory
%------------------------------------------------------------------------------