TSTP Solution File: MGT039-2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT039-2 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n004.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 : Thu Aug 31 09:08:34 EDT 2023
% Result : Unsatisfiable 0.19s 0.58s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 48
% Syntax : Number of formulae : 125 ( 24 unt; 22 typ; 0 def)
% Number of atoms : 318 ( 27 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 411 ( 196 ~; 215 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 18 >; 14 *; 0 +; 0 <<)
% 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 : 132 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
environment: $i > $o ).
tff(decl_23,type,
subpopulations: ( $i * $i * $i * $i ) > $o ).
tff(decl_24,type,
growth_rate: ( $i * $i ) > $i ).
tff(decl_25,type,
greater: ( $i * $i ) > $o ).
tff(decl_26,type,
selection_favors: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
subpopulation: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
cardinality_at_time: ( $i * $i ) > $i ).
tff(decl_29,type,
zero: $i ).
tff(decl_30,type,
observational_period: $i > $o ).
tff(decl_31,type,
first_movers: $i ).
tff(decl_32,type,
propagation_strategy: $i > $o ).
tff(decl_33,type,
efficient_producers: $i ).
tff(decl_34,type,
sk1: $i > $i ).
tff(decl_35,type,
in_environment: ( $i * $i ) > $o ).
tff(decl_36,type,
end_time: $i > $i ).
tff(decl_37,type,
slow_change: $i > $o ).
tff(decl_38,type,
sk2: ( $i * $i ) > $i ).
tff(decl_39,type,
critical_point: $i > $i ).
tff(decl_40,type,
start_time: $i > $i ).
tff(decl_41,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(decl_42,type,
appear: ( $i * $i ) > $i ).
tff(decl_43,type,
sk3: $i ).
cnf(mp_greater_or_equal_52,axiom,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mp_time_of_critical_point_49) ).
cnf(mp_greater_transitivity_50,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity_50) ).
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/sandbox/benchmark/theBenchmark.p',mp4_critical_point_38) ).
cnf(prove_t8_59,negated_conjecture,
slow_change(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_59) ).
cnf(prove_t8_58,negated_conjecture,
observational_period(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_58) ).
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/sandbox/benchmark/theBenchmark.p',mp4_critical_point_39) ).
cnf(mp_environment_end_point_43,axiom,
( greater_or_equal(end_time(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_end_point_43) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_53) ).
cnf(mp_greater_or_equal_54,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_54) ).
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/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy_36) ).
cnf(mp_organizational_sets1_40,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets1_40) ).
cnf(mp_organizational_sets2_41,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy_35) ).
cnf(mp_critical_point_after_EP_48,axiom,
( greater_or_equal(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_point_after_EP_48) ).
cnf(prove_t8_60,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_60) ).
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/sandbox/benchmark/theBenchmark.p',t6_57) ).
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/sandbox/benchmark/theBenchmark.p',d1_56) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',mp_subpopulations_46) ).
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/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy_37) ).
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/sandbox/benchmark/theBenchmark.p',mp_contains_FM_and_EP_44) ).
cnf(mp_subpopulations_47,axiom,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations_47) ).
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/sandbox/benchmark/theBenchmark.p',mp_first_movers_exist_45) ).
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/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates_33) ).
cnf(c_0_26,axiom,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
mp_greater_or_equal_52 ).
cnf(c_0_27,axiom,
( greater_or_equal(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
mp_time_of_critical_point_49 ).
cnf(c_0_28,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
mp_greater_transitivity_50 ).
cnf(c_0_29,plain,
( start_time(X1) = critical_point(X1)
| greater(critical_point(X1),start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,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_31,negated_conjecture,
slow_change(sk3),
prove_t8_59 ).
cnf(c_0_32,negated_conjecture,
observational_period(sk3),
prove_t8_58 ).
cnf(c_0_33,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_28,c_0_29]) ).
cnf(c_0_34,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_35,axiom,
( greater_or_equal(end_time(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_environment_end_point_43 ).
cnf(c_0_36,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_30,c_0_31]),c_0_32])]) ).
cnf(c_0_37,plain,
( start_time(X1) = critical_point(X1)
| greater(X2,start_time(X1))
| ~ greater(X3,critical_point(X1))
| ~ greater(X2,X3)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_33]) ).
cnf(c_0_38,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_34,c_0_31]),c_0_32])]) ).
cnf(c_0_39,negated_conjecture,
( greater_or_equal(end_time(X1),sk2(X1,sk3))
| ~ in_environment(sk3,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,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_41,axiom,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
mp_greater_or_equal_53 ).
cnf(c_0_42,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
mp_greater_or_equal_54 ).
cnf(c_0_43,negated_conjecture,
( start_time(X1) = critical_point(X1)
| greater(X2,start_time(X1))
| ~ in_environment(sk3,X1)
| ~ greater(X2,sk2(X1,sk3))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,negated_conjecture,
( sk2(X1,sk3) = end_time(X1)
| greater(end_time(X1),sk2(X1,sk3))
| ~ in_environment(sk3,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_39]) ).
cnf(c_0_45,plain,
( in_environment(X1,X2)
| ~ greater_or_equal(end_time(X1),X2)
| ~ greater(X2,start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_47,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_48,axiom,
propagation_strategy(first_movers),
mp_organizational_sets1_40 ).
cnf(c_0_49,axiom,
propagation_strategy(efficient_producers),
mp_organizational_sets2_41 ).
cnf(c_0_50,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_51,negated_conjecture,
( greater(X1,critical_point(X2))
| ~ in_environment(sk3,X2)
| ~ greater(X1,sk2(X2,sk3))
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_38]) ).
cnf(c_0_52,axiom,
( greater_or_equal(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
mp_critical_point_after_EP_48 ).
cnf(c_0_53,negated_conjecture,
( sk2(X1,sk3) = end_time(X1)
| start_time(X1) = critical_point(X1)
| greater(end_time(X1),start_time(X1))
| ~ in_environment(sk3,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_54,plain,
( in_environment(X1,end_time(X1))
| ~ greater(end_time(X1),start_time(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_55,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_47,c_0_48]),c_0_49])]) ).
cnf(c_0_56,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk3),
prove_t8_60 ).
cnf(c_0_57,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_50,c_0_48]),c_0_49])]) ).
cnf(c_0_58,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_51,c_0_44]) ).
cnf(c_0_59,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_60,plain,
( appear(efficient_producers,X1) = critical_point(X1)
| greater(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_52]) ).
cnf(c_0_61,negated_conjecture,
( start_time(X1) = critical_point(X1)
| in_environment(X1,end_time(X1))
| ~ in_environment(sk3,X1)
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_53]),c_0_54]) ).
cnf(c_0_62,negated_conjecture,
in_environment(sk3,sk1(sk3)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_32]),c_0_56]) ).
cnf(c_0_63,negated_conjecture,
environment(sk1(sk3)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_32]),c_0_56]) ).
cnf(c_0_64,negated_conjecture,
( greater(end_time(X1),critical_point(X1))
| ~ in_environment(sk3,X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_58]) ).
cnf(c_0_65,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_59,c_0_41]) ).
cnf(c_0_66,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_28,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( 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_61,c_0_62]),c_0_63])]) ).
cnf(c_0_68,negated_conjecture,
greater(end_time(sk1(sk3)),critical_point(sk1(sk3))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_62]),c_0_63])]) ).
cnf(c_0_69,plain,
( in_environment(X1,critical_point(X1))
| ~ greater_or_equal(end_time(X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_27]) ).
cnf(c_0_70,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_71,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_72,axiom,
( subpopulation(first_movers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_subpopulations_46 ).
cnf(c_0_73,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_74,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_65,c_0_66]) ).
cnf(c_0_75,negated_conjecture,
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_54,c_0_67]),c_0_68]),c_0_63])]) ).
cnf(c_0_76,plain,
( in_environment(X1,critical_point(X1))
| ~ greater(end_time(X1),critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_41]) ).
cnf(c_0_77,hypothesis,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(X1,critical_point(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(er,[status(thm)],[c_0_70]) ).
cnf(c_0_78,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_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_71,c_0_72]) ).
cnf(c_0_80,axiom,
( subpopulation(efficient_producers,X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_subpopulations_47 ).
cnf(c_0_81,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_73,c_0_48]),c_0_49])]) ).
cnf(c_0_82,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_74,c_0_68]),c_0_75]),c_0_63])]) ).
cnf(c_0_83,negated_conjecture,
in_environment(sk1(sk3),critical_point(sk1(sk3))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_68]),c_0_63])]) ).
cnf(c_0_84,hypothesis,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X2,X1)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(X1,critical_point(X2))
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_85,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_86,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_87,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_32]),c_0_56]) ).
cnf(c_0_88,hypothesis,
( greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater_or_equal(X1,critical_point(sk1(sk3)))
| ~ in_environment(sk1(sk3),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_82]),c_0_63])]) ).
cnf(c_0_89,negated_conjecture,
greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_83]),c_0_63])]) ).
cnf(c_0_90,hypothesis,
( greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
| ~ in_environment(sk1(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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_68]),c_0_63])]) ).
cnf(c_0_91,negated_conjecture,
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_85,c_0_75]),c_0_63])]) ).
cnf(c_0_92,negated_conjecture,
( 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_86,c_0_75]),c_0_63])]),c_0_87]) ).
cnf(c_0_93,negated_conjecture,
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_88,c_0_89]),c_0_75])]) ).
cnf(c_0_94,hypothesis,
( 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)],[c_0_90,c_0_75])]) ).
cnf(c_0_95,negated_conjecture,
( 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_26,c_0_91]) ).
cnf(c_0_96,negated_conjecture,
cardinality_at_time(first_movers,end_time(sk1(sk3))) != zero,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93])]) ).
cnf(c_0_97,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_98,hypothesis,
( 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) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_93])]) ).
cnf(c_0_99,negated_conjecture,
greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero),
inference(sr,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_100,plain,
( selection_favors(efficient_producers,first_movers,X1)
| ~ in_environment(X2,X1)
| ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_97,c_0_78]) ).
cnf(c_0_101,hypothesis,
greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99])]) ).
cnf(c_0_102,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_75]),c_0_63])]),c_0_87]),c_0_101]),c_0_99]),c_0_93])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT039-2 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 06:02:22 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.58 % Version : CSE_E---1.5
% 0.19/0.58 % Problem : theBenchmark.p
% 0.19/0.58 % Proof found
% 0.19/0.58 % SZS status Theorem for theBenchmark.p
% 0.19/0.58 % SZS output start Proof
% See solution above
% 0.19/0.59 % Total time : 0.015000 s
% 0.19/0.59 % SZS output end Proof
% 0.19/0.59 % Total time : 0.018000 s
%------------------------------------------------------------------------------