TSTP Solution File: MGT039+2 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : MGT039+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:37:11 EDT 2023
% Result : Theorem 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of formulae : 113 ( 21 unt; 0 def)
% Number of atoms : 395 ( 32 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 484 ( 202 ~; 218 |; 42 &)
% ( 1 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 162 ( 0 sgn; 72 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp_greater_or_equal,axiom,
! [X6,X7] :
( greater_or_equal(X6,X7)
<=> ( greater(X6,X7)
| X6 = X7 ) ),
file('/export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p',mp_greater_or_equal) ).
fof(mp_time_of_critical_point,axiom,
! [X1] :
( environment(X1)
=> greater_or_equal(critical_point(X1),start_time(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p',mp_time_of_critical_point) ).
fof(prove_t8,conjecture,
! [X5] :
( ( observational_period(X5)
& slow_change(X5) )
=> selection_favors(efficient_producers,first_movers,X5) ),
file('/export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p',prove_t8) ).
fof(mp_greater_transitivity,axiom,
! [X6,X7,X8] :
( ( greater(X6,X7)
& greater(X7,X8) )
=> greater(X6,X8) ),
file('/export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p',mp_greater_transitivity) ).
fof(mp4_critical_point,axiom,
! [X5] :
( ( observational_period(X5)
& slow_change(X5) )
=> ! [X1] :
( ( environment(X1)
& in_environment(X5,X1) )
=> ? [X4] :
( in_environment(X1,X4)
& greater(X4,critical_point(X1)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p',mp4_critical_point) ).
fof(mp_environment_end_point,axiom,
! [X1,X4] :
( ( environment(X1)
& in_environment(X1,X4) )
=> greater_or_equal(end_time(X1),X4) ),
file('/export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p',mp_environment_end_point) ).
fof(mp_time_in_environment,axiom,
! [X1,X4] :
( ( environment(X1)
& greater_or_equal(X4,start_time(X1))
& greater_or_equal(end_time(X1),X4) )
=> in_environment(X1,X4) ),
file('/export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p',mp_time_in_environment) ).
fof(mp3_favoured_trategy,axiom,
! [X5] :
( ( observational_period(X5)
& propagation_strategy(first_movers)
& propagation_strategy(efficient_producers)
& ! [X1] :
( ( environment(X1)
& in_environment(X5,X1) )
=> selection_favors(efficient_producers,first_movers,end_time(X1)) ) )
=> selection_favors(efficient_producers,first_movers,X5) ),
file('/export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p',mp3_favoured_trategy) ).
fof(mp_critical_point_after_EP,axiom,
! [X1] :
( environment(X1)
=> greater_or_equal(critical_point(X1),appear(efficient_producers,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p',mp_critical_point_after_EP) ).
fof(mp_organizational_sets1,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p',mp_organizational_sets1) ).
fof(mp_organizational_sets2,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p',mp_organizational_sets2) ).
fof(t6,hypothesis,
! [X1,X4] :
( ( environment(X1)
& in_environment(X1,X4)
& greater_or_equal(X4,appear(efficient_producers,X1)) )
=> greater(cardinality_at_time(efficient_producers,X4),zero) ),
file('/export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p',t6) ).
fof(d1,hypothesis,
! [X1,X9] :
( ( environment(X1)
& X9 = critical_point(X1) )
=> ( ~ greater(growth_rate(efficient_producers,X9),growth_rate(first_movers,X9))
& ! [X4] :
( ( subpopulations(first_movers,efficient_producers,X1,X4)
& greater(X4,X9) )
=> greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p',d1) ).
fof(mp2_favour_members,axiom,
! [X1,X2,X3,X4] :
( ( environment(X1)
& subpopulation(X2,X1,X4)
& subpopulation(X3,X1,X4)
& greater(cardinality_at_time(X2,X4),zero)
& cardinality_at_time(X3,X4) = zero )
=> selection_favors(X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p',mp2_favour_members) ).
fof(mp_subpopulations,axiom,
! [X1,X4] :
( ( environment(X1)
& in_environment(X1,X4) )
=> ( subpopulation(first_movers,X1,X4)
& subpopulation(efficient_producers,X1,X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p',mp_subpopulations) ).
fof(mp_contains_FM_and_EP,axiom,
! [X1,X4] :
( ( environment(X1)
& in_environment(X1,X4)
& greater(cardinality_at_time(first_movers,X4),zero)
& greater(cardinality_at_time(efficient_producers,X4),zero) )
=> subpopulations(first_movers,efficient_producers,X1,X4) ),
file('/export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p',mp_contains_FM_and_EP) ).
fof(mp_first_movers_exist,axiom,
! [X1,X4] :
( ( environment(X1)
& in_environment(X1,X4) )
=> greater_or_equal(cardinality_at_time(first_movers,X4),zero) ),
file('/export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p',mp_first_movers_exist) ).
fof(mp1_high_growth_rates,axiom,
! [X1,X2,X3,X4] :
( ( environment(X1)
& subpopulations(X2,X3,X1,X4)
& greater(growth_rate(X3,X4),growth_rate(X2,X4)) )
=> selection_favors(X3,X2,X4) ),
file('/export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p',mp1_high_growth_rates) ).
fof(c_0_18,plain,
! [X41,X42] :
( ( ~ greater_or_equal(X41,X42)
| greater(X41,X42)
| X41 = X42 )
& ( ~ greater(X41,X42)
| greater_or_equal(X41,X42) )
& ( X41 != X42
| greater_or_equal(X41,X42) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_or_equal])])]) ).
fof(c_0_19,plain,
! [X47] :
( ~ environment(X47)
| greater_or_equal(critical_point(X47),start_time(X47)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_of_critical_point])]) ).
fof(c_0_20,negated_conjecture,
~ ! [X5] :
( ( observational_period(X5)
& slow_change(X5) )
=> selection_favors(efficient_producers,first_movers,X5) ),
inference(assume_negation,[status(cth)],[prove_t8]) ).
fof(c_0_21,plain,
! [X36,X37,X38] :
( ~ greater(X36,X37)
| ~ greater(X37,X38)
| greater(X36,X38) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_transitivity])]) ).
cnf(c_0_22,plain,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
( greater_or_equal(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_24,plain,
! [X33,X34] :
( ( in_environment(X34,esk3_2(X33,X34))
| ~ environment(X34)
| ~ in_environment(X33,X34)
| ~ observational_period(X33)
| ~ slow_change(X33) )
& ( greater(esk3_2(X33,X34),critical_point(X34))
| ~ environment(X34)
| ~ in_environment(X33,X34)
| ~ observational_period(X33)
| ~ slow_change(X33) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp4_critical_point])])])])]) ).
fof(c_0_25,negated_conjecture,
( observational_period(esk1_0)
& slow_change(esk1_0)
& ~ selection_favors(efficient_producers,first_movers,esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
cnf(c_0_26,plain,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
( start_time(X1) = critical_point(X1)
| greater(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_28,plain,
! [X45,X46] :
( ~ environment(X45)
| ~ in_environment(X45,X46)
| greater_or_equal(end_time(X45),X46) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_environment_end_point])]) ).
cnf(c_0_29,plain,
( in_environment(X1,esk3_2(X2,X1))
| ~ environment(X1)
| ~ in_environment(X2,X1)
| ~ observational_period(X2)
| ~ slow_change(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,negated_conjecture,
slow_change(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,negated_conjecture,
observational_period(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
( start_time(X1) = critical_point(X1)
| greater(X2,start_time(X1))
| ~ greater(X2,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,plain,
( greater(esk3_2(X1,X2),critical_point(X2))
| ~ environment(X2)
| ~ in_environment(X1,X2)
| ~ observational_period(X1)
| ~ slow_change(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,plain,
( greater_or_equal(end_time(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( in_environment(X1,esk3_2(esk1_0,X1))
| ~ in_environment(esk1_0,X1)
| ~ environment(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
fof(c_0_36,plain,
! [X43,X44] :
( ~ environment(X43)
| ~ greater_or_equal(X44,start_time(X43))
| ~ greater_or_equal(end_time(X43),X44)
| in_environment(X43,X44) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_in_environment])]) ).
cnf(c_0_37,plain,
( start_time(X1) = critical_point(X1)
| greater(X2,start_time(X1))
| ~ greater(X3,critical_point(X1))
| ~ greater(X2,X3)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( greater(esk3_2(esk1_0,X1),critical_point(X1))
| ~ in_environment(esk1_0,X1)
| ~ environment(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_30]),c_0_31])]) ).
cnf(c_0_39,negated_conjecture,
( greater_or_equal(end_time(X1),esk3_2(esk1_0,X1))
| ~ in_environment(esk1_0,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,plain,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ greater_or_equal(X2,start_time(X1))
| ~ greater_or_equal(end_time(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_42,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_43,plain,
! [X19] :
( ( environment(esk2_1(X19))
| ~ observational_period(X19)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| selection_favors(efficient_producers,first_movers,X19) )
& ( in_environment(X19,esk2_1(X19))
| ~ observational_period(X19)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| selection_favors(efficient_producers,first_movers,X19) )
& ( ~ selection_favors(efficient_producers,first_movers,end_time(esk2_1(X19)))
| ~ observational_period(X19)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| selection_favors(efficient_producers,first_movers,X19) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp3_favoured_trategy])])])]) ).
fof(c_0_44,plain,
! [X30] :
( ~ environment(X30)
| greater_or_equal(critical_point(X30),appear(efficient_producers,X30)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_critical_point_after_EP])]) ).
cnf(c_0_45,negated_conjecture,
( start_time(X1) = critical_point(X1)
| greater(X2,start_time(X1))
| ~ in_environment(esk1_0,X1)
| ~ greater(X2,esk3_2(esk1_0,X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_46,negated_conjecture,
( esk3_2(esk1_0,X1) = end_time(X1)
| greater(end_time(X1),esk3_2(esk1_0,X1))
| ~ in_environment(esk1_0,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_39]) ).
cnf(c_0_47,plain,
( in_environment(X1,X2)
| ~ greater_or_equal(end_time(X1),X2)
| ~ greater(X2,start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_49,plain,
( in_environment(X1,esk2_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,plain,
propagation_strategy(first_movers),
inference(split_conjunct,[status(thm)],[mp_organizational_sets1]) ).
cnf(c_0_51,plain,
propagation_strategy(efficient_producers),
inference(split_conjunct,[status(thm)],[mp_organizational_sets2]) ).
cnf(c_0_52,plain,
( environment(esk2_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,negated_conjecture,
( greater(X1,critical_point(X2))
| ~ in_environment(esk1_0,X2)
| ~ greater(X1,esk3_2(esk1_0,X2))
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_38]) ).
fof(c_0_54,hypothesis,
! [X31,X32] :
( ~ environment(X31)
| ~ in_environment(X31,X32)
| ~ greater_or_equal(X32,appear(efficient_producers,X31))
| greater(cardinality_at_time(efficient_producers,X32),zero) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6])]) ).
cnf(c_0_55,plain,
( greater_or_equal(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_56,negated_conjecture,
( esk3_2(esk1_0,X1) = end_time(X1)
| start_time(X1) = critical_point(X1)
| greater(end_time(X1),start_time(X1))
| ~ in_environment(esk1_0,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_57,plain,
( in_environment(X1,end_time(X1))
| ~ greater(end_time(X1),start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_58,plain,
( in_environment(X1,esk2_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).
cnf(c_0_59,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_60,plain,
( selection_favors(efficient_producers,first_movers,X1)
| environment(esk2_1(X1))
| ~ observational_period(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_50]),c_0_51])]) ).
cnf(c_0_61,negated_conjecture,
( esk3_2(esk1_0,X1) = end_time(X1)
| greater(end_time(X1),critical_point(X1))
| ~ in_environment(esk1_0,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_46]) ).
fof(c_0_62,hypothesis,
! [X1,X9] :
( ( environment(X1)
& X9 = critical_point(X1) )
=> ( ~ greater(growth_rate(efficient_producers,X9),growth_rate(first_movers,X9))
& ! [X4] :
( ( subpopulations(first_movers,efficient_producers,X1,X4)
& greater(X4,X9) )
=> greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4)) ) ) ),
inference(fof_simplification,[status(thm)],[d1]) ).
cnf(c_0_63,hypothesis,
( greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(X2,appear(efficient_producers,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_64,plain,
( appear(efficient_producers,X1) = critical_point(X1)
| greater(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_55]) ).
cnf(c_0_65,negated_conjecture,
( start_time(X1) = critical_point(X1)
| in_environment(X1,end_time(X1))
| ~ in_environment(esk1_0,X1)
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_56]),c_0_57]) ).
cnf(c_0_66,negated_conjecture,
in_environment(esk1_0,esk2_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_31]),c_0_59]) ).
cnf(c_0_67,negated_conjecture,
environment(esk2_1(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_31]),c_0_59]) ).
cnf(c_0_68,negated_conjecture,
( greater(end_time(X1),critical_point(X1))
| ~ in_environment(esk1_0,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_61]) ).
fof(c_0_69,hypothesis,
! [X27,X28,X29] :
( ( ~ greater(growth_rate(efficient_producers,X28),growth_rate(first_movers,X28))
| ~ environment(X27)
| X28 != critical_point(X27) )
& ( ~ subpopulations(first_movers,efficient_producers,X27,X29)
| ~ greater(X29,X28)
| greater(growth_rate(efficient_producers,X29),growth_rate(first_movers,X29))
| ~ environment(X27)
| X28 != critical_point(X27) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])]) ).
fof(c_0_70,plain,
! [X15,X16,X17,X18] :
( ~ environment(X15)
| ~ subpopulation(X16,X15,X18)
| ~ subpopulation(X17,X15,X18)
| ~ greater(cardinality_at_time(X16,X18),zero)
| cardinality_at_time(X17,X18) != zero
| selection_favors(X16,X17,X18) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp2_favour_members])]) ).
fof(c_0_71,plain,
! [X25,X26] :
( ( subpopulation(first_movers,X25,X26)
| ~ environment(X25)
| ~ in_environment(X25,X26) )
& ( subpopulation(efficient_producers,X25,X26)
| ~ environment(X25)
| ~ in_environment(X25,X26) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_subpopulations])])]) ).
cnf(c_0_72,hypothesis,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X2,X1)
| ~ greater(X1,appear(efficient_producers,X2))
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_41]) ).
cnf(c_0_73,plain,
( appear(efficient_producers,X1) = critical_point(X1)
| greater(X2,appear(efficient_producers,X1))
| ~ greater(X2,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_64]) ).
cnf(c_0_74,negated_conjecture,
( start_time(esk2_1(esk1_0)) = critical_point(esk2_1(esk1_0))
| in_environment(esk2_1(esk1_0),end_time(esk2_1(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).
cnf(c_0_75,negated_conjecture,
greater(end_time(esk2_1(esk1_0)),critical_point(esk2_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_66]),c_0_67])]) ).
cnf(c_0_76,plain,
( in_environment(X1,critical_point(X1))
| ~ greater_or_equal(end_time(X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_23]) ).
cnf(c_0_77,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(X2,X3)
| ~ environment(X1)
| X3 != critical_point(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_78,plain,
! [X21,X22] :
( ~ environment(X21)
| ~ in_environment(X21,X22)
| ~ greater(cardinality_at_time(first_movers,X22),zero)
| ~ greater(cardinality_at_time(efficient_producers,X22),zero)
| subpopulations(first_movers,efficient_producers,X21,X22) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_contains_FM_and_EP])]) ).
cnf(c_0_79,plain,
( selection_favors(X2,X4,X3)
| ~ environment(X1)
| ~ subpopulation(X2,X1,X3)
| ~ subpopulation(X4,X1,X3)
| ~ greater(cardinality_at_time(X2,X3),zero)
| cardinality_at_time(X4,X3) != zero ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_80,plain,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_81,plain,
( selection_favors(efficient_producers,first_movers,X1)
| ~ selection_favors(efficient_producers,first_movers,end_time(esk2_1(X1)))
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_82,hypothesis,
( appear(efficient_producers,X1) = critical_point(X1)
| greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ in_environment(X1,X2)
| ~ greater(X2,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_83,negated_conjecture,
in_environment(esk2_1(esk1_0),end_time(esk2_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_74]),c_0_75]),c_0_67])]) ).
cnf(c_0_84,plain,
( in_environment(X1,critical_point(X1))
| ~ greater(end_time(X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_41]) ).
cnf(c_0_85,hypothesis,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(X1,critical_point(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(er,[status(thm)],[c_0_77]) ).
cnf(c_0_86,plain,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(cardinality_at_time(first_movers,X2),zero)
| ~ greater(cardinality_at_time(efficient_producers,X2),zero) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
fof(c_0_87,plain,
! [X23,X24] :
( ~ environment(X23)
| ~ in_environment(X23,X24)
| greater_or_equal(cardinality_at_time(first_movers,X24),zero) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_first_movers_exist])]) ).
cnf(c_0_88,plain,
( selection_favors(X1,first_movers,X2)
| cardinality_at_time(first_movers,X2) != zero
| ~ in_environment(X3,X2)
| ~ subpopulation(X1,X3,X2)
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ environment(X3) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_89,plain,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_90,plain,
( selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ selection_favors(efficient_producers,first_movers,end_time(esk2_1(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_50]),c_0_51])]) ).
cnf(c_0_91,negated_conjecture,
( appear(efficient_producers,esk2_1(esk1_0)) = critical_point(esk2_1(esk1_0))
| greater(cardinality_at_time(efficient_producers,end_time(esk2_1(esk1_0))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_75]),c_0_83]),c_0_67])]) ).
cnf(c_0_92,negated_conjecture,
in_environment(esk2_1(esk1_0),critical_point(esk2_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_75]),c_0_67])]) ).
cnf(c_0_93,hypothesis,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X2,X1)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(X1,critical_point(X2))
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_94,plain,
( greater_or_equal(cardinality_at_time(first_movers,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_95,plain,
( selection_favors(efficient_producers,first_movers,X1)
| cardinality_at_time(first_movers,X1) != zero
| ~ in_environment(X2,X1)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_96,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,end_time(esk2_1(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_31]),c_0_59]) ).
cnf(c_0_97,hypothesis,
( greater(cardinality_at_time(efficient_producers,end_time(esk2_1(esk1_0))),zero)
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater_or_equal(X1,critical_point(esk2_1(esk1_0)))
| ~ in_environment(esk2_1(esk1_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_91]),c_0_67])]) ).
cnf(c_0_98,negated_conjecture,
greater_or_equal(end_time(esk2_1(esk1_0)),critical_point(esk2_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_92]),c_0_67])]) ).
cnf(c_0_99,hypothesis,
( greater(growth_rate(efficient_producers,end_time(esk2_1(esk1_0))),growth_rate(first_movers,end_time(esk2_1(esk1_0))))
| ~ in_environment(esk2_1(esk1_0),end_time(esk2_1(esk1_0)))
| ~ greater(cardinality_at_time(first_movers,end_time(esk2_1(esk1_0))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk2_1(esk1_0))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_75]),c_0_67])]) ).
cnf(c_0_100,negated_conjecture,
greater_or_equal(cardinality_at_time(first_movers,end_time(esk2_1(esk1_0))),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_83]),c_0_67])]) ).
cnf(c_0_101,negated_conjecture,
( cardinality_at_time(first_movers,end_time(esk2_1(esk1_0))) != zero
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk2_1(esk1_0))),zero) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_83]),c_0_67])]),c_0_96]) ).
cnf(c_0_102,negated_conjecture,
greater(cardinality_at_time(efficient_producers,end_time(esk2_1(esk1_0))),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_83])]) ).
fof(c_0_103,plain,
! [X11,X12,X13,X14] :
( ~ environment(X11)
| ~ subpopulations(X12,X13,X11,X14)
| ~ greater(growth_rate(X13,X14),growth_rate(X12,X14))
| selection_favors(X13,X12,X14) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp1_high_growth_rates])]) ).
cnf(c_0_104,hypothesis,
( greater(growth_rate(efficient_producers,end_time(esk2_1(esk1_0))),growth_rate(first_movers,end_time(esk2_1(esk1_0))))
| ~ greater(cardinality_at_time(first_movers,end_time(esk2_1(esk1_0))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk2_1(esk1_0))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_83])]) ).
cnf(c_0_105,negated_conjecture,
( cardinality_at_time(first_movers,end_time(esk2_1(esk1_0))) = zero
| greater(cardinality_at_time(first_movers,end_time(esk2_1(esk1_0))),zero) ),
inference(spm,[status(thm)],[c_0_22,c_0_100]) ).
cnf(c_0_106,negated_conjecture,
cardinality_at_time(first_movers,end_time(esk2_1(esk1_0))) != zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_102])]) ).
cnf(c_0_107,plain,
( selection_favors(X3,X2,X4)
| ~ environment(X1)
| ~ subpopulations(X2,X3,X1,X4)
| ~ greater(growth_rate(X3,X4),growth_rate(X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_108,hypothesis,
( greater(growth_rate(efficient_producers,end_time(esk2_1(esk1_0))),growth_rate(first_movers,end_time(esk2_1(esk1_0))))
| ~ greater(cardinality_at_time(first_movers,end_time(esk2_1(esk1_0))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_102])]) ).
cnf(c_0_109,negated_conjecture,
greater(cardinality_at_time(first_movers,end_time(esk2_1(esk1_0))),zero),
inference(sr,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_110,plain,
( selection_favors(efficient_producers,first_movers,X1)
| ~ in_environment(X2,X1)
| ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_107,c_0_86]) ).
cnf(c_0_111,hypothesis,
greater(growth_rate(efficient_producers,end_time(esk2_1(esk1_0))),growth_rate(first_movers,end_time(esk2_1(esk1_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_109])]) ).
cnf(c_0_112,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_83]),c_0_67])]),c_0_96]),c_0_111]),c_0_109]),c_0_102])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : MGT039+2 : TPTP v8.1.2. Released v2.0.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n032.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 2400
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Oct 3 00:30:49 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.18/0.44 Running first-order model finding
% 0.18/0.44 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.ZeAcDAKnjT/E---3.1_18133.p
% 0.18/0.47 # Version: 3.1pre001
% 0.18/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 # Starting sh5l with 300s (1) cores
% 0.18/0.47 # sh5l with pid 18245 completed with status 0
% 0.18/0.47 # Result found by sh5l
% 0.18/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 # Starting sh5l with 300s (1) cores
% 0.18/0.47 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.47 # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.18/0.47 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 163s (1) cores
% 0.18/0.47 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 18252 completed with status 0
% 0.18/0.47 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 0.18/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 # Starting sh5l with 300s (1) cores
% 0.18/0.47 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.47 # Search class: FGHSF-FFMS21-SFFFFFNN
% 0.18/0.47 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 163s (1) cores
% 0.18/0.47 # Preprocessing time : 0.002 s
% 0.18/0.47 # Presaturation interreduction done
% 0.18/0.47
% 0.18/0.47 # Proof found!
% 0.18/0.47 # SZS status Theorem
% 0.18/0.47 # SZS output start CNFRefutation
% See solution above
% 0.18/0.47 # Parsed axioms : 19
% 0.18/0.47 # Removed by relevancy pruning/SinE : 0
% 0.18/0.47 # Initial clauses : 28
% 0.18/0.47 # Removed in clause preprocessing : 0
% 0.18/0.47 # Initial clauses in saturation : 28
% 0.18/0.47 # Processed clauses : 192
% 0.18/0.47 # ...of these trivial : 0
% 0.18/0.47 # ...subsumed : 5
% 0.18/0.47 # ...remaining for further processing : 186
% 0.18/0.47 # Other redundant clauses eliminated : 3
% 0.18/0.47 # Clauses deleted for lack of memory : 0
% 0.18/0.47 # Backward-subsumed : 11
% 0.18/0.47 # Backward-rewritten : 14
% 0.18/0.47 # Generated clauses : 271
% 0.18/0.47 # ...of the previous two non-redundant : 247
% 0.18/0.47 # ...aggressively subsumed : 0
% 0.18/0.47 # Contextual simplify-reflections : 1
% 0.18/0.47 # Paramodulations : 267
% 0.18/0.47 # Factorizations : 0
% 0.18/0.47 # NegExts : 0
% 0.18/0.47 # Equation resolutions : 3
% 0.18/0.47 # Total rewrite steps : 129
% 0.18/0.47 # Propositional unsat checks : 0
% 0.18/0.47 # Propositional check models : 0
% 0.18/0.47 # Propositional check unsatisfiable : 0
% 0.18/0.47 # Propositional clauses : 0
% 0.18/0.47 # Propositional clauses after purity: 0
% 0.18/0.47 # Propositional unsat core size : 0
% 0.18/0.47 # Propositional preprocessing time : 0.000
% 0.18/0.47 # Propositional encoding time : 0.000
% 0.18/0.47 # Propositional solver time : 0.000
% 0.18/0.47 # Success case prop preproc time : 0.000
% 0.18/0.47 # Success case prop encoding time : 0.000
% 0.18/0.47 # Success case prop solver time : 0.000
% 0.18/0.47 # Current number of processed clauses : 129
% 0.18/0.47 # Positive orientable unit clauses : 16
% 0.18/0.47 # Positive unorientable unit clauses: 0
% 0.18/0.47 # Negative unit clauses : 3
% 0.18/0.47 # Non-unit-clauses : 110
% 0.18/0.47 # Current number of unprocessed clauses: 96
% 0.18/0.47 # ...number of literals in the above : 538
% 0.18/0.47 # Current number of archived formulas : 0
% 0.18/0.47 # Current number of archived clauses : 54
% 0.18/0.47 # Clause-clause subsumption calls (NU) : 2620
% 0.18/0.47 # Rec. Clause-clause subsumption calls : 972
% 0.18/0.47 # Non-unit clause-clause subsumptions : 13
% 0.18/0.47 # Unit Clause-clause subsumption calls : 48
% 0.18/0.47 # Rewrite failures with RHS unbound : 0
% 0.18/0.47 # BW rewrite match attempts : 12
% 0.18/0.47 # BW rewrite match successes : 4
% 0.18/0.47 # Condensation attempts : 0
% 0.18/0.47 # Condensation successes : 0
% 0.18/0.47 # Termbank termtop insertions : 9863
% 0.18/0.47
% 0.18/0.47 # -------------------------------------------------
% 0.18/0.47 # User time : 0.018 s
% 0.18/0.47 # System time : 0.005 s
% 0.18/0.47 # Total time : 0.023 s
% 0.18/0.47 # Maximum resident set size: 1908 pages
% 0.18/0.47
% 0.18/0.47 # -------------------------------------------------
% 0.18/0.47 # User time : 0.022 s
% 0.18/0.47 # System time : 0.005 s
% 0.18/0.47 # Total time : 0.026 s
% 0.18/0.47 # Maximum resident set size: 1732 pages
% 0.18/0.47 % E---3.1 exiting
%------------------------------------------------------------------------------