%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT039+2 : TPTP v9.2.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n021.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 : 300s
% DateTime : Tue May 5 04:48:17 PM UTC 2026
% Result : Theorem 12.81s 8.10s
% Output : CNFRefutation 12.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 18
% Syntax : Number of formulae : 149 ( 9 unt; 0 def)
% Number of atoms : 722 ( 88 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 982 ( 409 ~; 509 |; 42 &)
% ( 1 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 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 : 243 ( 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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.p',mp_time_of_critical_point) ).
fof(mp_greater_transitivity,axiom,
! [X6,X7,X8] :
( ( greater(X6,X7)
& greater(X7,X8) )
=> greater(X6,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy) ).
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/sandbox2/benchmark/theBenchmark.p',d1) ).
fof(mp_organizational_sets1,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets1) ).
fof(mp_organizational_sets2,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets2) ).
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/sandbox2/benchmark/theBenchmark.p',mp_contains_FM_and_EP) ).
fof(mp_critical_point_after_EP,axiom,
! [X1] :
( environment(X1)
=> greater_or_equal(critical_point(X1),appear(efficient_producers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_point_after_EP) ).
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/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates) ).
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/sandbox2/benchmark/theBenchmark.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/sandbox2/benchmark/theBenchmark.p',mp_subpopulations) ).
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/sandbox2/benchmark/theBenchmark.p',t6) ).
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/sandbox2/benchmark/theBenchmark.p',mp_first_movers_exist) ).
fof(prove_t8,conjecture,
! [X5] :
( ( observational_period(X5)
& slow_change(X5) )
=> selection_favors(efficient_producers,first_movers,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8) ).
fof(c_0_18,plain,
! [X78,X79] :
( ( ~ greater_or_equal(X78,X79)
| greater(X78,X79)
| X78 = X79 )
& ( ~ greater(X78,X79)
| greater_or_equal(X78,X79) )
& ( X78 != X79
| greater_or_equal(X78,X79) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_or_equal])])]) ).
fof(c_0_19,plain,
! [X72] :
( ~ environment(X72)
| greater_or_equal(critical_point(X72),start_time(X72)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_of_critical_point])]) ).
fof(c_0_20,plain,
! [X73,X74,X75] :
( ~ greater(X73,X74)
| ~ greater(X74,X75)
| greater(X73,X75) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_greater_transitivity])]) ).
fof(c_0_21,plain,
! [X58,X59] :
( ( in_environment(X59,esk2_2(X58,X59))
| ~ environment(X59)
| ~ in_environment(X58,X59)
| ~ observational_period(X58)
| ~ slow_change(X58) )
& ( greater(esk2_2(X58,X59),critical_point(X59))
| ~ environment(X59)
| ~ in_environment(X58,X59)
| ~ observational_period(X58)
| ~ slow_change(X58) ) ),
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_22,plain,
! [X63,X64] :
( ~ environment(X63)
| ~ in_environment(X63,X64)
| greater_or_equal(end_time(X63),X64) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_environment_end_point])]) ).
fof(c_0_23,plain,
! [X61,X62] :
( ~ environment(X61)
| ~ greater_or_equal(X62,start_time(X61))
| ~ greater_or_equal(end_time(X61),X62)
| in_environment(X61,X62) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_time_in_environment])]) ).
cnf(c_0_24,plain,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( greater_or_equal(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
( greater(esk2_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_21]) ).
cnf(c_0_28,plain,
( greater_or_equal(end_time(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,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_23]) ).
cnf(c_0_30,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31,plain,
( start_time(X1) = critical_point(X1)
| greater(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,plain,
( greater(X1,critical_point(X2))
| ~ slow_change(X3)
| ~ in_environment(X3,X2)
| ~ observational_period(X3)
| ~ greater(X1,esk2_2(X3,X2))
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,plain,
( end_time(X1) = X2
| greater(end_time(X1),X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_28]) ).
fof(c_0_34,plain,
! [X56] :
( ( environment(esk1_1(X56))
| ~ observational_period(X56)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| selection_favors(efficient_producers,first_movers,X56) )
& ( in_environment(X56,esk1_1(X56))
| ~ observational_period(X56)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| selection_favors(efficient_producers,first_movers,X56) )
& ( ~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(X56)))
| ~ observational_period(X56)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| selection_favors(efficient_producers,first_movers,X56) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp3_favoured_trategy])])])]) ).
fof(c_0_35,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_36,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_29,c_0_30]) ).
cnf(c_0_37,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_31]) ).
cnf(c_0_38,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_39,plain,
( end_time(X1) = esk2_2(X2,X3)
| greater(end_time(X1),critical_point(X3))
| ~ slow_change(X2)
| ~ in_environment(X1,esk2_2(X2,X3))
| ~ in_environment(X2,X3)
| ~ observational_period(X2)
| ~ environment(X3)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,plain,
( in_environment(X1,esk2_2(X2,X1))
| ~ environment(X1)
| ~ in_environment(X2,X1)
| ~ observational_period(X2)
| ~ slow_change(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_41,plain,
( in_environment(X1,esk1_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_34]) ).
cnf(c_0_42,plain,
propagation_strategy(first_movers),
inference(split_conjunct,[status(thm)],[mp_organizational_sets1]) ).
cnf(c_0_43,plain,
propagation_strategy(efficient_producers),
inference(split_conjunct,[status(thm)],[mp_organizational_sets2]) ).
cnf(c_0_44,plain,
( environment(esk1_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_34]) ).
fof(c_0_45,hypothesis,
! [X80,X81,X82] :
( ( ~ greater(growth_rate(efficient_producers,X81),growth_rate(first_movers,X81))
| ~ environment(X80)
| X81 != critical_point(X80) )
& ( ~ subpopulations(first_movers,efficient_producers,X80,X82)
| ~ greater(X82,X81)
| greater(growth_rate(efficient_producers,X82),growth_rate(first_movers,X82))
| ~ environment(X80)
| X81 != critical_point(X80) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).
fof(c_0_46,plain,
! [X65,X66] :
( ~ environment(X65)
| ~ in_environment(X65,X66)
| ~ greater(cardinality_at_time(first_movers,X66),zero)
| ~ greater(cardinality_at_time(efficient_producers,X66),zero)
| subpopulations(first_movers,efficient_producers,X65,X66) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_contains_FM_and_EP])]) ).
cnf(c_0_47,plain,
( start_time(X1) = critical_point(X1)
| in_environment(X1,X2)
| ~ greater_or_equal(end_time(X1),X2)
| ~ greater(X2,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_48,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_38]) ).
cnf(c_0_49,plain,
( esk2_2(X1,X2) = end_time(X2)
| greater(end_time(X2),critical_point(X2))
| ~ slow_change(X1)
| ~ in_environment(X1,X2)
| ~ observational_period(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_50,plain,
( in_environment(X1,esk1_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_41,c_0_42]),c_0_43])]) ).
cnf(c_0_51,plain,
( selection_favors(efficient_producers,first_movers,X1)
| environment(esk1_1(X1))
| ~ observational_period(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_42]),c_0_43])]) ).
cnf(c_0_52,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_45]) ).
cnf(c_0_53,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_46]) ).
cnf(c_0_54,plain,
( start_time(X1) = critical_point(X1)
| in_environment(X1,end_time(X1))
| ~ greater(end_time(X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,plain,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| greater(end_time(esk1_1(X1)),critical_point(esk1_1(X1)))
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_56,hypothesis,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| X2 != critical_point(X3)
| ~ in_environment(X3,X1)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(X1,X2)
| ~ environment(X3) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_57,plain,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| in_environment(esk1_1(X1),end_time(esk1_1(X1)))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_51]) ).
fof(c_0_58,plain,
! [X71] :
( ~ environment(X71)
| greater_or_equal(critical_point(X71),appear(efficient_producers,X71)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_critical_point_after_EP])]) ).
fof(c_0_59,plain,
! [X48,X49,X50,X51] :
( ~ environment(X48)
| ~ subpopulations(X49,X50,X48,X51)
| ~ greater(growth_rate(X50,X51),growth_rate(X49,X51))
| selection_favors(X50,X49,X51) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp1_high_growth_rates])]) ).
cnf(c_0_60,hypothesis,
( greater(growth_rate(efficient_producers,esk2_2(X1,X2)),growth_rate(first_movers,esk2_2(X1,X2)))
| X3 != critical_point(X2)
| ~ slow_change(X1)
| ~ in_environment(X1,X2)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(first_movers,esk2_2(X1,X2)),zero)
| ~ greater(cardinality_at_time(efficient_producers,esk2_2(X1,X2)),zero)
| ~ greater(esk2_2(X1,X2),X3)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_40]) ).
cnf(c_0_61,hypothesis,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| greater(growth_rate(efficient_producers,end_time(esk1_1(X1))),growth_rate(first_movers,end_time(esk1_1(X1))))
| X2 != critical_point(esk1_1(X1))
| ~ slow_change(X1)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero)
| ~ greater(end_time(esk1_1(X1)),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_51]) ).
cnf(c_0_62,plain,
( selection_favors(efficient_producers,first_movers,X1)
| ~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(X1)))
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_63,plain,
! [X52,X53,X54,X55] :
( ~ environment(X52)
| ~ subpopulation(X53,X52,X55)
| ~ subpopulation(X54,X52,X55)
| ~ greater(cardinality_at_time(X53,X55),zero)
| cardinality_at_time(X54,X55) != zero
| selection_favors(X53,X54,X55) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp2_favour_members])]) ).
fof(c_0_64,plain,
! [X69,X70] :
( ( subpopulation(first_movers,X69,X70)
| ~ environment(X69)
| ~ in_environment(X69,X70) )
& ( subpopulation(efficient_producers,X69,X70)
| ~ environment(X69)
| ~ in_environment(X69,X70) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_subpopulations])])]) ).
fof(c_0_65,hypothesis,
! [X83,X84] :
( ~ environment(X83)
| ~ in_environment(X83,X84)
| ~ greater_or_equal(X84,appear(efficient_producers,X83))
| greater(cardinality_at_time(efficient_producers,X84),zero) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6])]) ).
cnf(c_0_66,plain,
( greater_or_equal(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_67,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_59]) ).
cnf(c_0_68,hypothesis,
( greater(growth_rate(efficient_producers,esk2_2(X1,X2)),growth_rate(first_movers,esk2_2(X1,X2)))
| ~ slow_change(X1)
| ~ in_environment(X1,X2)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(first_movers,esk2_2(X1,X2)),zero)
| ~ greater(cardinality_at_time(efficient_producers,esk2_2(X1,X2)),zero)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_27]) ).
cnf(c_0_69,hypothesis,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| greater(growth_rate(efficient_producers,end_time(esk1_1(X1))),growth_rate(first_movers,end_time(esk1_1(X1))))
| ~ slow_change(X1)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero) ),
inference(spm,[status(thm)],[c_0_61,c_0_55]) ).
cnf(c_0_70,plain,
( selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ selection_favors(efficient_producers,first_movers,end_time(esk1_1(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_42]),c_0_43])]) ).
fof(c_0_71,plain,
! [X67,X68] :
( ~ environment(X67)
| ~ in_environment(X67,X68)
| greater_or_equal(cardinality_at_time(first_movers,X68),zero) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mp_first_movers_exist])]) ).
cnf(c_0_72,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_63]) ).
cnf(c_0_73,plain,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_74,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_65]) ).
cnf(c_0_75,plain,
( appear(efficient_producers,X1) = critical_point(X1)
| greater(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_66]) ).
cnf(c_0_76,hypothesis,
( selection_favors(efficient_producers,first_movers,esk2_2(X1,X2))
| ~ slow_change(X1)
| ~ in_environment(X1,X2)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(first_movers,esk2_2(X1,X2)),zero)
| ~ greater(cardinality_at_time(efficient_producers,esk2_2(X1,X2)),zero)
| ~ subpopulations(first_movers,efficient_producers,X3,esk2_2(X1,X2))
| ~ environment(X3)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_77,hypothesis,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero)
| ~ subpopulations(first_movers,efficient_producers,X2,end_time(esk1_1(X1)))
| ~ environment(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_69]),c_0_70]) ).
cnf(c_0_78,plain,
( greater_or_equal(cardinality_at_time(first_movers,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_79,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_72,c_0_73]) ).
cnf(c_0_80,plain,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_81,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_74,c_0_30]) ).
cnf(c_0_82,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_75]) ).
cnf(c_0_83,hypothesis,
( selection_favors(efficient_producers,first_movers,esk2_2(X1,X2))
| ~ slow_change(X1)
| ~ in_environment(X3,esk2_2(X1,X2))
| ~ in_environment(X1,X2)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(first_movers,esk2_2(X1,X2)),zero)
| ~ greater(cardinality_at_time(efficient_producers,esk2_2(X1,X2)),zero)
| ~ environment(X3)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_53]) ).
cnf(c_0_84,hypothesis,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ in_environment(X2,end_time(esk1_1(X1)))
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_53]) ).
cnf(c_0_85,plain,
( greater_or_equal(cardinality_at_time(first_movers,esk2_2(X1,X2)),zero)
| ~ slow_change(X1)
| ~ in_environment(X1,X2)
| ~ observational_period(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_40]) ).
cnf(c_0_86,plain,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| greater_or_equal(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_57]),c_0_51]) ).
cnf(c_0_87,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_79,c_0_80]) ).
cnf(c_0_88,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_81,c_0_82]) ).
cnf(c_0_89,hypothesis,
( selection_favors(efficient_producers,first_movers,esk2_2(X1,X2))
| ~ slow_change(X1)
| ~ in_environment(X1,X2)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(first_movers,esk2_2(X1,X2)),zero)
| ~ greater(cardinality_at_time(efficient_producers,esk2_2(X1,X2)),zero)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_83,c_0_40]) ).
cnf(c_0_90,hypothesis,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_57]),c_0_51]) ).
cnf(c_0_91,plain,
( start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| greater_or_equal(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_51]),c_0_50]) ).
cnf(c_0_92,plain,
( selection_favors(efficient_producers,first_movers,esk2_2(X1,X2))
| cardinality_at_time(first_movers,esk2_2(X1,X2)) != zero
| ~ slow_change(X1)
| ~ in_environment(X1,X2)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(efficient_producers,esk2_2(X1,X2)),zero)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_87,c_0_40]) ).
cnf(c_0_93,plain,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| cardinality_at_time(first_movers,end_time(esk1_1(X1))) != zero
| ~ slow_change(X1)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_57]),c_0_51]),c_0_70]) ).
cnf(c_0_94,hypothesis,
( appear(efficient_producers,esk1_1(X1)) = critical_point(esk1_1(X1))
| esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero)
| ~ slow_change(X1)
| ~ in_environment(esk1_1(X1),end_time(esk1_1(X1)))
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_55]),c_0_51]) ).
cnf(c_0_95,hypothesis,
( start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_51]),c_0_50]),c_0_70]) ).
cnf(c_0_96,plain,
( cardinality_at_time(first_movers,end_time(esk1_1(X1))) = zero
| start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| greater(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_91]) ).
cnf(c_0_97,plain,
( start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| cardinality_at_time(first_movers,end_time(esk1_1(X1))) != zero
| ~ slow_change(X1)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_51]),c_0_50]),c_0_70]) ).
cnf(c_0_98,hypothesis,
( appear(efficient_producers,X1) = critical_point(X1)
| greater(cardinality_at_time(efficient_producers,esk2_2(X2,X1)),zero)
| ~ slow_change(X2)
| ~ in_environment(X2,X1)
| ~ observational_period(X2)
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_27]),c_0_40]) ).
cnf(c_0_99,hypothesis,
( appear(efficient_producers,esk1_1(X1)) = critical_point(esk1_1(X1))
| esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_57]) ).
cnf(c_0_100,hypothesis,
( start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
cnf(c_0_101,hypothesis,
( appear(efficient_producers,esk1_1(X1)) = critical_point(esk1_1(X1))
| start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_51]),c_0_50]) ).
cnf(c_0_102,hypothesis,
( appear(efficient_producers,esk1_1(X1)) = critical_point(esk1_1(X1))
| start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_103,hypothesis,
( start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ greater_or_equal(X2,critical_point(esk1_1(X1)))
| ~ slow_change(X1)
| ~ in_environment(esk1_1(X1),X2)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_102]),c_0_51]) ).
cnf(c_0_104,hypothesis,
( start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ slow_change(X1)
| ~ in_environment(esk1_1(X1),X2)
| ~ observational_period(X1)
| ~ greater(X2,critical_point(esk1_1(X1))) ),
inference(spm,[status(thm)],[c_0_103,c_0_30]) ).
cnf(c_0_105,hypothesis,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_55]),c_0_57]),c_0_100]) ).
cnf(c_0_106,plain,
( in_environment(X1,end_time(X2))
| ~ greater_or_equal(end_time(X1),end_time(X2))
| ~ in_environment(X2,start_time(X1))
| ~ environment(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_107,hypothesis,
( start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| greater(end_time(esk1_1(X1)),critical_point(esk1_1(X1)))
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_105]),c_0_51]),c_0_50]) ).
cnf(c_0_108,hypothesis,
( start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| in_environment(esk1_1(X1),end_time(esk1_1(X1)))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_105]),c_0_51]),c_0_50]) ).
cnf(c_0_109,plain,
( in_environment(X1,end_time(X1))
| ~ in_environment(X1,start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_48]) ).
cnf(c_0_110,hypothesis,
( start_time(esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_107]),c_0_108]),c_0_100]) ).
cnf(c_0_111,plain,
( in_environment(X1,critical_point(X1))
| ~ greater_or_equal(end_time(X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_25]) ).
cnf(c_0_112,hypothesis,
( in_environment(esk1_1(X1),end_time(esk1_1(X1)))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ in_environment(esk1_1(X1),critical_point(esk1_1(X1)))
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_51]) ).
cnf(c_0_113,plain,
( in_environment(X1,critical_point(X1))
| ~ greater(end_time(X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_30]) ).
cnf(c_0_114,hypothesis,
( selection_favors(efficient_producers,first_movers,X1)
| greater(growth_rate(efficient_producers,end_time(esk1_1(X1))),growth_rate(first_movers,end_time(esk1_1(X1))))
| X2 != critical_point(esk1_1(X1))
| ~ slow_change(X1)
| ~ in_environment(esk1_1(X1),critical_point(esk1_1(X1)))
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero)
| ~ greater(end_time(esk1_1(X1)),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_112]),c_0_51]) ).
cnf(c_0_115,plain,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| in_environment(esk1_1(X1),critical_point(esk1_1(X1)))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_55]),c_0_51]) ).
cnf(c_0_116,hypothesis,
( in_environment(esk1_1(X1),X2)
| selection_favors(efficient_producers,first_movers,X1)
| ~ greater_or_equal(X2,critical_point(esk1_1(X1)))
| ~ greater_or_equal(end_time(esk1_1(X1)),X2)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_110]),c_0_51]) ).
cnf(c_0_117,hypothesis,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| greater(growth_rate(efficient_producers,end_time(esk1_1(X1))),growth_rate(first_movers,end_time(esk1_1(X1))))
| ~ slow_change(X1)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_55]),c_0_115]) ).
cnf(c_0_118,hypothesis,
( in_environment(esk1_1(X1),end_time(esk1_1(X1)))
| selection_favors(efficient_producers,first_movers,X1)
| ~ greater_or_equal(end_time(esk1_1(X1)),critical_point(esk1_1(X1)))
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(spm,[status(thm)],[c_0_116,c_0_48]) ).
cnf(c_0_119,hypothesis,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero)
| ~ subpopulations(first_movers,efficient_producers,X2,end_time(esk1_1(X1)))
| ~ environment(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_117]),c_0_70]) ).
cnf(c_0_120,hypothesis,
( in_environment(esk1_1(X1),end_time(esk1_1(X1)))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1)
| ~ greater(end_time(esk1_1(X1)),critical_point(esk1_1(X1))) ),
inference(spm,[status(thm)],[c_0_118,c_0_30]) ).
cnf(c_0_121,hypothesis,
( greater_or_equal(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ in_environment(esk1_1(X1),critical_point(esk1_1(X1)))
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_112]),c_0_51]) ).
cnf(c_0_122,hypothesis,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ in_environment(X2,end_time(esk1_1(X1)))
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_119,c_0_53]) ).
cnf(c_0_123,hypothesis,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| in_environment(esk1_1(X1),end_time(esk1_1(X1)))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(spm,[status(thm)],[c_0_120,c_0_55]) ).
cnf(c_0_124,hypothesis,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| greater_or_equal(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_115]) ).
cnf(c_0_125,hypothesis,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_51]) ).
cnf(c_0_126,hypothesis,
( greater_or_equal(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_124]),c_0_51]),c_0_50]) ).
cnf(c_0_127,hypothesis,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| cardinality_at_time(first_movers,end_time(esk1_1(X1))) != zero
| ~ slow_change(X1)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_123]),c_0_51]),c_0_70]) ).
cnf(c_0_128,hypothesis,
( selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_125]),c_0_51]),c_0_50]),c_0_70]) ).
cnf(c_0_129,hypothesis,
( cardinality_at_time(first_movers,end_time(esk1_1(X1))) = zero
| selection_favors(efficient_producers,first_movers,X1)
| greater(cardinality_at_time(first_movers,end_time(esk1_1(X1))),zero)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_126]) ).
cnf(c_0_130,hypothesis,
( selection_favors(efficient_producers,first_movers,X1)
| cardinality_at_time(first_movers,end_time(esk1_1(X1))) != zero
| ~ slow_change(X1)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_127]),c_0_51]),c_0_50]),c_0_70]) ).
cnf(c_0_131,hypothesis,
( appear(efficient_producers,esk1_1(X1)) = critical_point(esk1_1(X1))
| esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_123]) ).
cnf(c_0_132,hypothesis,
( selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1)
| ~ greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]) ).
cnf(c_0_133,hypothesis,
( appear(efficient_producers,esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| greater(cardinality_at_time(efficient_producers,end_time(esk1_1(X1))),zero)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_131]),c_0_51]),c_0_50]) ).
cnf(c_0_134,hypothesis,
( appear(efficient_producers,esk1_1(X1)) = critical_point(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_135,hypothesis,
( selection_favors(efficient_producers,first_movers,X1)
| greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ greater_or_equal(X2,critical_point(esk1_1(X1)))
| ~ slow_change(X1)
| ~ in_environment(esk1_1(X1),X2)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_134]),c_0_51]) ).
cnf(c_0_136,hypothesis,
( selection_favors(efficient_producers,first_movers,X1)
| greater(cardinality_at_time(efficient_producers,end_time(X2)),zero)
| ~ slow_change(X1)
| ~ in_environment(esk1_1(X1),end_time(X2))
| ~ in_environment(X2,critical_point(esk1_1(X1)))
| ~ observational_period(X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_135,c_0_28]) ).
cnf(c_0_137,hypothesis,
( selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ in_environment(esk1_1(X1),critical_point(esk1_1(X1)))
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_112]),c_0_51]),c_0_132]) ).
cnf(c_0_138,hypothesis,
( in_environment(esk1_1(X1),X2)
| selection_favors(efficient_producers,first_movers,X1)
| ~ greater_or_equal(X2,critical_point(esk1_1(X1)))
| ~ slow_change(X1)
| ~ observational_period(X1)
| ~ greater(end_time(esk1_1(X1)),X2) ),
inference(spm,[status(thm)],[c_0_116,c_0_30]) ).
cnf(c_0_139,hypothesis,
( esk2_2(X1,esk1_1(X1)) = end_time(esk1_1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(spm,[status(thm)],[c_0_137,c_0_115]) ).
fof(c_0_140,negated_conjecture,
~ ! [X5] :
( ( observational_period(X5)
& slow_change(X5) )
=> selection_favors(efficient_producers,first_movers,X5) ),
inference(assume_negation,[status(cth)],[prove_t8]) ).
cnf(c_0_141,hypothesis,
( in_environment(esk1_1(X1),critical_point(esk1_1(X1)))
| selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1)
| ~ greater(end_time(esk1_1(X1)),critical_point(esk1_1(X1))) ),
inference(spm,[status(thm)],[c_0_138,c_0_48]) ).
cnf(c_0_142,hypothesis,
( selection_favors(efficient_producers,first_movers,X1)
| greater(end_time(esk1_1(X1)),critical_point(esk1_1(X1)))
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_139]),c_0_51]),c_0_50]) ).
fof(c_0_143,negated_conjecture,
( observational_period(esk3_0)
& slow_change(esk3_0)
& ~ selection_favors(efficient_producers,first_movers,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_140])])]) ).
cnf(c_0_144,hypothesis,
( selection_favors(efficient_producers,first_movers,X1)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_137]) ).
cnf(c_0_145,negated_conjecture,
slow_change(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_146,negated_conjecture,
observational_period(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_147,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_148,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_146])]),c_0_147]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT039+2 : TPTP v9.2.1. Released v2.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n021.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 23:30:25 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 12.81/8.10 % Version : CSE_E---1.7
% 12.81/8.10 % Problem : theBenchmark.p
% 12.81/8.10 % SZS status Theorem for theBenchmark.p
% 12.81/8.10 % SZS output start CNFRefutation
% See solution above
% 12.91/8.13 % Total time : 6.384s
%------------------------------------------------------------------------------