%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT039-2 : TPTP v9.2.1. Released v2.4.0.
% 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 : n015.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 : Unsatisfiable 2.20s 1.96s
% Output : CNFRefutation 2.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 27
% Syntax : Number of clauses : 189 ( 24 unt; 88 nHn; 188 RR)
% Number of literals : 662 ( 165 equ; 331 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 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 : 177 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_greater_or_equal_52,axiom,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_52) ).
cnf(mp_time_of_critical_point_49,axiom,
( greater_or_equal(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_of_critical_point_49) ).
cnf(mp4_critical_point_39,axiom,
( greater(sk2(X2,X1),critical_point(X2))
| ~ observational_period(X1)
| ~ slow_change(X1)
| ~ environment(X2)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point_39) ).
cnf(prove_t8_59,negated_conjecture,
slow_change(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_59) ).
cnf(prove_t8_58,negated_conjecture,
observational_period(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_58) ).
cnf(mp_time_in_environment_42,axiom,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ greater_or_equal(X2,start_time(X1))
| ~ greater_or_equal(end_time(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_in_environment_42) ).
cnf(mp_greater_or_equal_53,axiom,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_53) ).
cnf(mp_greater_transitivity_50,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_50) ).
cnf(mp_environment_end_point_43,axiom,
( greater_or_equal(end_time(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_end_point_43) ).
cnf(mp_greater_or_equal_54,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_54) ).
cnf(mp4_critical_point_38,axiom,
( in_environment(X2,sk2(X2,X1))
| ~ observational_period(X1)
| ~ slow_change(X1)
| ~ environment(X2)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point_38) ).
cnf(mp3_favoured_trategy_36,axiom,
( in_environment(X1,sk1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_36) ).
cnf(mp_organizational_sets1_40,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets1_40) ).
cnf(mp_organizational_sets2_41,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets2_41) ).
cnf(mp3_favoured_trategy_35,axiom,
( environment(sk1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_35) ).
cnf(prove_t8_60,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_60) ).
cnf(d1_56,hypothesis,
( greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| ~ environment(X1)
| X2 != critical_point(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_56) ).
cnf(mp_contains_FM_and_EP_44,axiom,
( 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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contains_FM_and_EP_44) ).
cnf(mp_beginning_and_ending_51,axiom,
( greater(X2,end_time(X1))
| greater_or_equal(end_time(X1),X2)
| ~ environment(X1)
| ~ greater(X2,start_time(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_beginning_and_ending_51) ).
cnf(mp1_high_growth_rates_33,axiom,
( selection_favors(X3,X2,X4)
| ~ environment(X1)
| ~ subpopulations(X2,X3,X1,X4)
| ~ greater(growth_rate(X3,X4),growth_rate(X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates_33) ).
cnf(mp2_favour_members_34,axiom,
( 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 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2_favour_members_34) ).
cnf(mp_subpopulations_46,axiom,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_46) ).
cnf(mp_critical_point_after_EP_48,axiom,
( greater_or_equal(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_point_after_EP_48) ).
cnf(mp_subpopulations_47,axiom,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_47) ).
cnf(t6_57,hypothesis,
( greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(X2,appear(efficient_producers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_57) ).
cnf(mp3_favoured_trategy_37,axiom,
( selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_37) ).
cnf(mp_first_movers_exist_45,axiom,
( greater_or_equal(cardinality_at_time(first_movers,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_exist_45) ).
cnf(c_0_27,axiom,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
mp_greater_or_equal_52 ).
cnf(c_0_28,axiom,
( greater_or_equal(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
mp_time_of_critical_point_49 ).
cnf(c_0_29,axiom,
( greater(sk2(X2,X1),critical_point(X2))
| ~ observational_period(X1)
| ~ slow_change(X1)
| ~ environment(X2)
| ~ in_environment(X1,X2) ),
mp4_critical_point_39 ).
cnf(c_0_30,negated_conjecture,
slow_change(sk3),
prove_t8_59 ).
cnf(c_0_31,negated_conjecture,
observational_period(sk3),
prove_t8_58 ).
cnf(c_0_32,axiom,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ greater_or_equal(X2,start_time(X1))
| ~ greater_or_equal(end_time(X1),X2) ),
mp_time_in_environment_42 ).
cnf(c_0_33,axiom,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
mp_greater_or_equal_53 ).
cnf(c_0_34,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
mp_greater_transitivity_50 ).
cnf(c_0_35,plain,
( start_time(X1) = critical_point(X1)
| greater(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,negated_conjecture,
( greater(sk2(X1,sk3),critical_point(X1))
| ~ in_environment(sk3,X1)
| ~ environment(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_37,axiom,
( greater_or_equal(end_time(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_environment_end_point_43 ).
cnf(c_0_38,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_32,c_0_33]) ).
cnf(c_0_39,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_34,c_0_35]) ).
cnf(c_0_40,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
mp_greater_or_equal_54 ).
cnf(c_0_41,negated_conjecture,
( greater(X1,critical_point(X2))
| ~ in_environment(sk3,X2)
| ~ greater(X1,sk2(X2,sk3))
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_36]) ).
cnf(c_0_42,plain,
( end_time(X1) = X2
| greater(end_time(X1),X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_37]) ).
cnf(c_0_43,axiom,
( in_environment(X2,sk2(X2,X1))
| ~ observational_period(X1)
| ~ slow_change(X1)
| ~ environment(X2)
| ~ in_environment(X1,X2) ),
mp4_critical_point_38 ).
cnf(c_0_44,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_38,c_0_39]) ).
cnf(c_0_45,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_40]) ).
cnf(c_0_46,negated_conjecture,
( end_time(X1) = sk2(X2,sk3)
| greater(end_time(X1),critical_point(X2))
| ~ in_environment(X1,sk2(X2,sk3))
| ~ in_environment(sk3,X2)
| ~ environment(X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( in_environment(X1,sk2(X1,sk3))
| ~ in_environment(sk3,X1)
| ~ environment(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_30]),c_0_31])]) ).
cnf(c_0_48,axiom,
( in_environment(X1,sk1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
mp3_favoured_trategy_36 ).
cnf(c_0_49,axiom,
propagation_strategy(first_movers),
mp_organizational_sets1_40 ).
cnf(c_0_50,axiom,
propagation_strategy(efficient_producers),
mp_organizational_sets2_41 ).
cnf(c_0_51,axiom,
( environment(sk1(X1))
| selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers) ),
mp3_favoured_trategy_35 ).
cnf(c_0_52,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_44,c_0_45]) ).
cnf(c_0_53,negated_conjecture,
( sk2(X1,sk3) = end_time(X1)
| greater(end_time(X1),critical_point(X1))
| ~ in_environment(sk3,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_54,plain,
( in_environment(X1,sk1(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_48,c_0_49]),c_0_50])]) ).
cnf(c_0_55,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk3),
prove_t8_60 ).
cnf(c_0_56,plain,
( selection_favors(efficient_producers,first_movers,X1)
| environment(sk1(X1))
| ~ observational_period(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_49]),c_0_50])]) ).
cnf(c_0_57,hypothesis,
( greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| ~ environment(X1)
| X2 != critical_point(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater(X3,X2) ),
d1_56 ).
cnf(c_0_58,axiom,
( 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) ),
mp_contains_FM_and_EP_44 ).
cnf(c_0_59,negated_conjecture,
( sk2(X1,sk3) = end_time(X1)
| start_time(X1) = critical_point(X1)
| in_environment(X1,end_time(X1))
| ~ in_environment(sk3,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,negated_conjecture,
in_environment(sk3,sk1(sk3)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_31]),c_0_55]) ).
cnf(c_0_61,negated_conjecture,
environment(sk1(sk3)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_31])]) ).
cnf(c_0_62,axiom,
( greater(X2,end_time(X1))
| greater_or_equal(end_time(X1),X2)
| ~ environment(X1)
| ~ greater(X2,start_time(X1)) ),
mp_beginning_and_ending_51 ).
cnf(c_0_63,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_57,c_0_58]) ).
cnf(c_0_64,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).
cnf(c_0_65,plain,
( start_time(X1) = critical_point(X1)
| greater_or_equal(end_time(X1),X2)
| greater(X2,end_time(X1))
| ~ greater(X2,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_39]) ).
cnf(c_0_66,hypothesis,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
| X1 != critical_point(sk1(sk3))
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| ~ greater(end_time(sk1(sk3)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_61])]) ).
cnf(c_0_67,plain,
( start_time(X1) = critical_point(X1)
| end_time(X1) = X2
| greater(X2,end_time(X1))
| greater(end_time(X1),X2)
| ~ greater(X2,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_65]) ).
cnf(c_0_68,axiom,
( selection_favors(X3,X2,X4)
| ~ environment(X1)
| ~ subpopulations(X2,X3,X1,X4)
| ~ greater(growth_rate(X3,X4),growth_rate(X2,X4)) ),
mp1_high_growth_rates_33 ).
cnf(c_0_69,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_53]),c_0_60]),c_0_61])]) ).
cnf(c_0_70,axiom,
( 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 ),
mp2_favour_members_34 ).
cnf(c_0_71,axiom,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_subpopulations_46 ).
cnf(c_0_72,axiom,
( greater_or_equal(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
mp_critical_point_after_EP_48 ).
cnf(c_0_73,plain,
( end_time(X1) = X2
| greater(X3,X2)
| ~ in_environment(X1,X2)
| ~ greater(X3,end_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_42]) ).
cnf(c_0_74,negated_conjecture,
( sk2(X1,sk3) = end_time(X1)
| start_time(X1) = critical_point(X1)
| greater(end_time(X1),sk2(X1,sk3))
| greater(sk2(X1,sk3),end_time(X1))
| ~ in_environment(sk3,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_36]) ).
cnf(c_0_75,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| ~ subpopulations(first_movers,efficient_producers,X1,end_time(sk1(sk3)))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_76,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_70,c_0_71]) ).
cnf(c_0_77,axiom,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_subpopulations_47 ).
cnf(c_0_78,hypothesis,
( greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(X2,appear(efficient_producers,X1)) ),
t6_57 ).
cnf(c_0_79,plain,
( appear(efficient_producers,X1) = critical_point(X1)
| greater(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_72]) ).
cnf(c_0_80,negated_conjecture,
( sk2(X1,sk3) = end_time(X1)
| start_time(X1) = critical_point(X1)
| end_time(X1) = X2
| greater(end_time(X1),sk2(X1,sk3))
| greater(sk2(X1,sk3),X2)
| ~ in_environment(sk3,X1)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_81,axiom,
( selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X1))) ),
mp3_favoured_trategy_37 ).
cnf(c_0_82,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ in_environment(X1,end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_58]) ).
cnf(c_0_83,axiom,
( greater_or_equal(cardinality_at_time(first_movers,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_first_movers_exist_45 ).
cnf(c_0_84,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_76,c_0_77]) ).
cnf(c_0_85,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_78,c_0_33]) ).
cnf(c_0_86,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_34,c_0_79]) ).
cnf(c_0_87,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| end_time(sk1(sk3)) = X1
| greater(end_time(sk1(sk3)),sk2(sk1(sk3),sk3))
| greater(sk2(sk1(sk3),sk3),X1)
| ~ in_environment(sk1(sk3),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_60]),c_0_61])]) ).
cnf(c_0_88,negated_conjecture,
( greater(growth_rate(efficient_producers,sk2(X1,sk3)),growth_rate(first_movers,sk2(X1,sk3)))
| X2 != critical_point(X1)
| ~ in_environment(sk3,X1)
| ~ greater(cardinality_at_time(first_movers,sk2(X1,sk3)),zero)
| ~ greater(cardinality_at_time(efficient_producers,sk2(X1,sk3)),zero)
| ~ greater(sk2(X1,sk3),X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_47]) ).
cnf(c_0_89,plain,
( selection_favors(efficient_producers,first_movers,X1)
| ~ observational_period(X1)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_49]),c_0_50])]) ).
cnf(c_0_90,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_64]),c_0_61])]) ).
cnf(c_0_91,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater_or_equal(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_64]),c_0_61])]) ).
cnf(c_0_92,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_64]),c_0_61])]) ).
cnf(c_0_93,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_85,c_0_86]) ).
cnf(c_0_94,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(sk2(sk1(sk3),sk3),sk2(sk1(sk3),sk3))
| greater(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_47]),c_0_60]),c_0_61])]) ).
cnf(c_0_95,negated_conjecture,
( greater(growth_rate(efficient_producers,sk2(X1,sk3)),growth_rate(first_movers,sk2(X1,sk3)))
| ~ in_environment(sk3,X1)
| ~ greater(cardinality_at_time(first_movers,sk2(X1,sk3)),zero)
| ~ greater(cardinality_at_time(efficient_producers,sk2(X1,sk3)),zero)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_36]) ).
cnf(c_0_96,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_31])]),c_0_55]) ).
cnf(c_0_97,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
inference(spm,[status(thm)],[c_0_27,c_0_91]) ).
cnf(c_0_98,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_92]),c_0_31])]),c_0_55]) ).
cnf(c_0_99,hypothesis,
( sk2(X1,sk3) = end_time(X1)
| appear(efficient_producers,X1) = critical_point(X1)
| greater(cardinality_at_time(efficient_producers,end_time(X1)),zero)
| ~ in_environment(X1,end_time(X1))
| ~ in_environment(sk3,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_53]) ).
cnf(c_0_100,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(end_time(sk1(sk3)),sk2(sk1(sk3),sk3))
| greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_94]),c_0_60]),c_0_61])]) ).
cnf(c_0_101,negated_conjecture,
( selection_favors(efficient_producers,first_movers,sk2(X1,sk3))
| ~ in_environment(sk3,X1)
| ~ greater(cardinality_at_time(first_movers,sk2(X1,sk3)),zero)
| ~ greater(cardinality_at_time(efficient_producers,sk2(X1,sk3)),zero)
| ~ subpopulations(first_movers,efficient_producers,X2,sk2(X1,sk3))
| ~ environment(X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_95]) ).
cnf(c_0_102,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98]) ).
cnf(c_0_103,negated_conjecture,
( appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3))
| sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_64]),c_0_60]),c_0_61])]) ).
cnf(c_0_104,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3)))
| greater(X1,sk2(sk1(sk3),sk3))
| ~ greater(X1,end_time(sk1(sk3))) ),
inference(spm,[status(thm)],[c_0_34,c_0_100]) ).
cnf(c_0_105,plain,
( start_time(X1) = critical_point(X1)
| in_environment(X1,X2)
| greater(X2,end_time(X1))
| ~ greater(X2,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_65]) ).
cnf(c_0_106,negated_conjecture,
( selection_favors(efficient_producers,first_movers,sk2(X1,sk3))
| ~ in_environment(X2,sk2(X1,sk3))
| ~ in_environment(sk3,X1)
| ~ greater(cardinality_at_time(first_movers,sk2(X1,sk3)),zero)
| ~ greater(cardinality_at_time(efficient_producers,sk2(X1,sk3)),zero)
| ~ environment(X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_58]) ).
cnf(c_0_107,negated_conjecture,
( appear(efficient_producers,X1) = critical_point(X1)
| greater(cardinality_at_time(efficient_producers,sk2(X1,sk3)),zero)
| ~ in_environment(sk3,X1)
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_36]),c_0_47]) ).
cnf(c_0_108,negated_conjecture,
( appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3))
| sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3)) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_109,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| in_environment(sk1(sk3),X1)
| greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3)))
| greater(X1,sk2(sk1(sk3),sk3))
| ~ greater(X1,critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_61])]) ).
cnf(c_0_110,negated_conjecture,
( selection_favors(efficient_producers,first_movers,sk2(X1,sk3))
| ~ in_environment(sk3,X1)
| ~ greater(cardinality_at_time(first_movers,sk2(X1,sk3)),zero)
| ~ greater(cardinality_at_time(efficient_producers,sk2(X1,sk3)),zero)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_47]) ).
cnf(c_0_111,negated_conjecture,
( appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_60]),c_0_61])]) ).
cnf(c_0_112,negated_conjecture,
( greater_or_equal(cardinality_at_time(first_movers,sk2(X1,sk3)),zero)
| ~ in_environment(sk3,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_47]) ).
cnf(c_0_113,negated_conjecture,
( selection_favors(efficient_producers,first_movers,sk2(X1,sk3))
| cardinality_at_time(first_movers,sk2(X1,sk3)) != zero
| ~ in_environment(sk3,X1)
| ~ greater(cardinality_at_time(efficient_producers,sk2(X1,sk3)),zero)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_47]) ).
cnf(c_0_114,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
| greater(sk2(sk1(sk3),sk3),sk2(sk1(sk3),sk3))
| greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_36]),c_0_60]),c_0_61])]) ).
cnf(c_0_115,negated_conjecture,
( appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_108]),c_0_60]),c_0_61])]),c_0_111]) ).
cnf(c_0_116,negated_conjecture,
( cardinality_at_time(first_movers,sk2(X1,sk3)) = zero
| greater(cardinality_at_time(first_movers,sk2(X1,sk3)),zero)
| ~ in_environment(sk3,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_112]) ).
cnf(c_0_117,negated_conjecture,
( appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_108]),c_0_60]),c_0_61])]),c_0_111]) ).
cnf(c_0_118,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
| greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_114]),c_0_60]),c_0_61])]) ).
cnf(c_0_119,negated_conjecture,
( appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_115]),c_0_31])]),c_0_55]) ).
cnf(c_0_120,negated_conjecture,
( appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_108]),c_0_60]),c_0_61])]) ).
cnf(c_0_121,negated_conjecture,
( appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_117]),c_0_31])]),c_0_55]) ).
cnf(c_0_122,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
| greater(X1,critical_point(sk1(sk3)))
| ~ greater(X1,sk2(sk1(sk3),sk3)) ),
inference(spm,[status(thm)],[c_0_34,c_0_118]) ).
cnf(c_0_123,negated_conjecture,
( appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]) ).
cnf(c_0_124,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| end_time(X1) = sk2(sk1(sk3),sk3)
| in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
| greater(end_time(X1),critical_point(sk1(sk3)))
| ~ in_environment(X1,sk2(sk1(sk3),sk3))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_122,c_0_42]) ).
cnf(c_0_125,hypothesis,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(sk1(sk3),X1)
| ~ greater(X1,critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_123]),c_0_61])]) ).
cnf(c_0_126,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
| greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_47]),c_0_61]),c_0_60])]) ).
cnf(c_0_127,negated_conjecture,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero)
| ~ in_environment(sk1(sk3),sk2(sk1(sk3),sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_36]),c_0_60]),c_0_61])]) ).
cnf(c_0_128,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_126]),c_0_60]),c_0_61])]) ).
cnf(c_0_129,negated_conjecture,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_47]),c_0_60]),c_0_61])]) ).
cnf(c_0_130,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| start_time(sk1(sk3)) = critical_point(sk1(sk3)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_128]),c_0_64]),c_0_102]) ).
cnf(c_0_131,negated_conjecture,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_132,negated_conjecture,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_130]),c_0_60]),c_0_61])]),c_0_131]) ).
cnf(c_0_133,negated_conjecture,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_130]),c_0_60]),c_0_61])]),c_0_131]) ).
cnf(c_0_134,negated_conjecture,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_132]),c_0_31])]),c_0_55]) ).
cnf(c_0_135,negated_conjecture,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_130]),c_0_60]),c_0_61])]) ).
cnf(c_0_136,negated_conjecture,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_133]),c_0_31])]),c_0_55]) ).
cnf(c_0_137,negated_conjecture,
start_time(sk1(sk3)) = critical_point(sk1(sk3)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).
cnf(c_0_138,negated_conjecture,
( in_environment(sk1(sk3),X1)
| ~ greater_or_equal(end_time(sk1(sk3)),X1)
| ~ greater(X1,critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_137]),c_0_61])]) ).
cnf(c_0_139,negated_conjecture,
( in_environment(sk1(sk3),end_time(sk1(sk3)))
| ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(spm,[status(thm)],[c_0_138,c_0_45]) ).
cnf(c_0_140,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_53]),c_0_60]),c_0_61])]) ).
cnf(c_0_141,hypothesis,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
| X1 != critical_point(sk1(sk3))
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| ~ greater(end_time(sk1(sk3)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_140]),c_0_61])]) ).
cnf(c_0_142,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_32,c_0_37]) ).
cnf(c_0_143,plain,
( in_environment(X1,critical_point(X1))
| ~ greater_or_equal(end_time(X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_28]) ).
cnf(c_0_144,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_53]),c_0_60]),c_0_61])]) ).
cnf(c_0_145,plain,
( in_environment(X1,end_time(X1))
| ~ in_environment(X1,start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_45]) ).
cnf(c_0_146,plain,
( in_environment(X1,critical_point(X1))
| ~ greater(end_time(X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_143,c_0_33]) ).
cnf(c_0_147,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| ~ subpopulations(first_movers,efficient_producers,X1,end_time(sk1(sk3)))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_144]) ).
cnf(c_0_148,negated_conjecture,
( in_environment(sk1(sk3),end_time(sk1(sk3)))
| ~ in_environment(sk1(sk3),critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_137]),c_0_61])]) ).
cnf(c_0_149,negated_conjecture,
( sk2(X1,sk3) = end_time(X1)
| in_environment(X1,critical_point(X1))
| ~ in_environment(sk3,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_146,c_0_53]) ).
cnf(c_0_150,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ in_environment(X1,end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_147,c_0_58]) ).
cnf(c_0_151,negated_conjecture,
( greater_or_equal(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
| ~ in_environment(sk1(sk3),critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_148]),c_0_61])]) ).
cnf(c_0_152,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| in_environment(sk1(sk3),critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_60]),c_0_61])]) ).
cnf(c_0_153,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_140]),c_0_61])]) ).
cnf(c_0_154,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| greater_or_equal(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_155,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_140]),c_0_61])]) ).
cnf(c_0_156,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_153]),c_0_31])]),c_0_55]) ).
cnf(c_0_157,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
inference(spm,[status(thm)],[c_0_27,c_0_154]) ).
cnf(c_0_158,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_155]),c_0_31])]),c_0_55]) ).
cnf(c_0_159,negated_conjecture,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158]) ).
cnf(c_0_160,hypothesis,
( appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3))
| sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_140]),c_0_60]),c_0_61])]) ).
cnf(c_0_161,hypothesis,
( appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3))
| sk2(sk1(sk3),sk3) = end_time(sk1(sk3)) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_162,negated_conjecture,
( appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3))
| greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_161]),c_0_60]),c_0_61])]) ).
cnf(c_0_163,negated_conjecture,
( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero
| ~ in_environment(sk1(sk3),critical_point(sk1(sk3)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_148]),c_0_61])]) ).
cnf(c_0_164,negated_conjecture,
( appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3))
| greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_161]),c_0_60]),c_0_61])]) ).
cnf(c_0_165,negated_conjecture,
( appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_161]),c_0_60]),c_0_61])]),c_0_162]) ).
cnf(c_0_166,negated_conjecture,
( cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero
| ~ in_environment(sk1(sk3),critical_point(sk1(sk3)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_163]),c_0_31])]),c_0_55]) ).
cnf(c_0_167,negated_conjecture,
( appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3))
| in_environment(sk1(sk3),critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_164]),c_0_61])]) ).
cnf(c_0_168,negated_conjecture,
( appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3))
| ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_165]),c_0_31])]),c_0_55]) ).
cnf(c_0_169,negated_conjecture,
( appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) = zero
| greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_161]),c_0_60]),c_0_61])]) ).
cnf(c_0_170,negated_conjecture,
( appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3))
| cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_162]) ).
cnf(c_0_171,hypothesis,
( greater(cardinality_at_time(efficient_producers,end_time(X1)),zero)
| ~ in_environment(X1,appear(efficient_producers,X2))
| ~ in_environment(X2,end_time(X1))
| ~ environment(X2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_37]) ).
cnf(c_0_172,negated_conjecture,
appear(efficient_producers,sk1(sk3)) = critical_point(sk1(sk3)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]) ).
cnf(c_0_173,hypothesis,
( greater(cardinality_at_time(efficient_producers,end_time(X1)),zero)
| ~ in_environment(X1,critical_point(sk1(sk3)))
| ~ in_environment(sk1(sk3),end_time(X1))
| ~ environment(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_61])]) ).
cnf(c_0_174,hypothesis,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(sk1(sk3),X1)
| ~ greater(X1,critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_172]),c_0_61])]) ).
cnf(c_0_175,plain,
( in_environment(X1,start_time(X1))
| ~ greater_or_equal(end_time(X1),start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_45]) ).
cnf(c_0_176,negated_conjecture,
( greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| ~ in_environment(sk1(sk3),critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_148]),c_0_61])]) ).
cnf(c_0_177,negated_conjecture,
( greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero)
| ~ in_environment(sk1(sk3),sk2(sk1(sk3),sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_36]),c_0_60]),c_0_61])]) ).
cnf(c_0_178,plain,
( in_environment(X1,start_time(X1))
| ~ greater(end_time(X1),start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_175,c_0_33]) ).
cnf(c_0_179,negated_conjecture,
sk2(sk1(sk3),sk3) = end_time(sk1(sk3)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_152]),c_0_159]) ).
cnf(c_0_180,negated_conjecture,
greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_47]),c_0_60]),c_0_61])]) ).
cnf(c_0_181,negated_conjecture,
( in_environment(sk1(sk3),critical_point(sk1(sk3)))
| ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_137]),c_0_61])]) ).
cnf(c_0_182,negated_conjecture,
greater(end_time(sk1(sk3)),critical_point(sk1(sk3))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_179]),c_0_60]),c_0_61])]) ).
cnf(c_0_183,negated_conjecture,
greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero),
inference(rw,[status(thm)],[c_0_180,c_0_179]) ).
cnf(c_0_184,negated_conjecture,
in_environment(sk1(sk3),critical_point(sk1(sk3))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_182])]) ).
cnf(c_0_185,negated_conjecture,
cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_183])]),c_0_184])]) ).
cnf(c_0_186,negated_conjecture,
greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_179]),c_0_60]),c_0_61])]),c_0_185]) ).
cnf(c_0_187,negated_conjecture,
selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_179]),c_0_60]),c_0_61])]),c_0_186]),c_0_183])]) ).
cnf(c_0_188,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_187]),c_0_31])]),c_0_55]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT039-2 : TPTP v9.2.1. Released v2.4.0.
% 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
% 0.15/0.33 % Computer : n015.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 23:29:47 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 2.20/1.96 % Version : CSE_E---1.7
% 2.20/1.96 % Problem : theBenchmark.p
% 2.20/1.96 % SZS status Unsatisfiable for theBenchmark.p
% 2.20/1.96 % SZS output start CNFRefutation
% See solution above
% 2.20/1.97 % Total time : 1.373s
%------------------------------------------------------------------------------