TSTP Solution File: MGT034-2 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : MGT034-2 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n002.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 09:07:49 EDT 2023
% Result : Unsatisfiable 0.20s 0.64s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 43
% Syntax : Number of formulae : 102 ( 15 unt; 20 typ; 0 def)
% Number of atoms : 223 ( 18 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 276 ( 135 ~; 141 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 15 >; 14 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 88 ( 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,
first_movers: $i ).
tff(decl_28,type,
efficient_producers: $i ).
tff(decl_29,type,
disbanding_rate: ( $i * $i ) > $i ).
tff(decl_30,type,
difference: ( $i * $i ) > $i ).
tff(decl_31,type,
decreases: $i > $o ).
tff(decl_32,type,
critical_point: $i > $i ).
tff(decl_33,type,
in_environment: ( $i * $i ) > $o ).
tff(decl_34,type,
appear: ( $i * $i ) > $i ).
tff(decl_35,type,
founding_rate: ( $i * $i ) > $i ).
tff(decl_36,type,
zero: $i ).
tff(decl_37,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(decl_38,type,
start_time: $i > $i ).
tff(decl_39,type,
cardinality_at_time: ( $i * $i ) > $i ).
tff(decl_40,type,
sk1: $i ).
tff(decl_41,type,
sk2: $i ).
cnf(mp_greater_or_equal_52,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_52) ).
cnf(mp_critical_time_points_46,axiom,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,critical_point(X1))
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ greater(critical_point(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_time_points_46) ).
cnf(mp_critical_point_means_FM_and_EP_35,axiom,
( subpopulations(first_movers,efficient_producers,X1,critical_point(X1))
| ~ environment(X1)
| ~ in_environment(X1,critical_point(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_point_means_FM_and_EP_35) ).
cnf(prove_t3_59,negated_conjecture,
in_environment(sk1,critical_point(sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_59) ).
cnf(prove_t3_58,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_58) ).
cnf(mp_FM_and_EP_when_EP_appears_36,axiom,
( subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1))
| ~ environment(X1)
| ~ in_environment(X1,appear(efficient_producers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_when_EP_appears_36) ).
cnf(mp_greater_or_equal_50,axiom,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_50) ).
cnf(mp_FM_and_EP_members_EP_appeared_49,axiom,
( greater_or_equal(X2,appear(efficient_producers,X1))
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_FM_and_EP_members_EP_appeared_49) ).
cnf(a10_56,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,X4)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater_or_equal(X4,X2)
| ~ greater_or_equal(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a10_56) ).
cnf(prove_t3_60,negated_conjecture,
greater_or_equal(sk2,appear(efficient_producers,sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_60) ).
cnf(mp_greater_or_equal_51,axiom,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_51) ).
cnf(prove_t3_61,negated_conjecture,
greater(critical_point(sk1),sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_61) ).
cnf(a12_57,hypothesis,
( decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2)))
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12_57) ).
cnf(mp_decreasing_function_38,axiom,
( greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ greater_or_equal(X3,appear(efficient_producers,X1))
| ~ greater(X2,X3)
| ~ decreases(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_decreasing_function_38) ).
cnf(mp_difference_between_founding_rates_37,axiom,
( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_difference_between_founding_rates_37) ).
cnf(mp_symmetry_of_subpopulations_48,axiom,
( subpopulations(efficient_producers,first_movers,X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations_48) ).
cnf(l3_34,axiom,
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_34) ).
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(prove_t3_62,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t3_62) ).
cnf(mp_positive_growth_rate_difference_41,axiom,
( greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))
| ~ greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_growth_rate_difference_41) ).
cnf(d1_54,hypothesis,
( ~ environment(X1)
| X2 != critical_point(X1)
| ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_54) ).
cnf(mp_relationship_of_growth_rates_53,axiom,
( greater(zero,difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
| greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_relationship_of_growth_rates_53) ).
cnf(mp_negative_growth_rate_difference_39,axiom,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_negative_growth_rate_difference_39) ).
cnf(c_0_23,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
mp_greater_or_equal_52 ).
cnf(c_0_24,axiom,
( in_environment(X1,X2)
| ~ environment(X1)
| ~ in_environment(X1,critical_point(X1))
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ greater(critical_point(X1),X2) ),
mp_critical_time_points_46 ).
cnf(c_0_25,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_26,axiom,
( subpopulations(first_movers,efficient_producers,X1,critical_point(X1))
| ~ environment(X1)
| ~ in_environment(X1,critical_point(X1)) ),
mp_critical_point_means_FM_and_EP_35 ).
cnf(c_0_27,negated_conjecture,
in_environment(sk1,critical_point(sk1)),
prove_t3_59 ).
cnf(c_0_28,negated_conjecture,
environment(sk1),
prove_t3_58 ).
cnf(c_0_29,axiom,
( subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1))
| ~ environment(X1)
| ~ in_environment(X1,appear(efficient_producers,X1)) ),
mp_FM_and_EP_when_EP_appears_36 ).
cnf(c_0_30,plain,
( in_environment(X1,appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(X1))
| ~ greater(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,axiom,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
mp_greater_or_equal_50 ).
cnf(c_0_32,axiom,
( greater_or_equal(X2,appear(efficient_producers,X1))
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
mp_FM_and_EP_members_EP_appeared_49 ).
cnf(c_0_33,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,X4)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater_or_equal(X4,X2)
| ~ greater_or_equal(X3,X4) ),
a10_56 ).
cnf(c_0_34,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_35,plain,
( subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(X1))
| ~ greater(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,plain,
( X1 = appear(efficient_producers,X2)
| greater(X1,appear(efficient_producers,X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,hypothesis,
( subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ greater_or_equal(critical_point(sk1),X1)
| ~ greater_or_equal(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,sk1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_28])]) ).
cnf(c_0_38,plain,
( appear(efficient_producers,X1) = critical_point(X1)
| subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_26]) ).
cnf(c_0_39,hypothesis,
( appear(efficient_producers,sk1) = critical_point(sk1)
| subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,sk1))
| ~ greater_or_equal(critical_point(sk1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_27]),c_0_28])]) ).
cnf(c_0_40,negated_conjecture,
greater_or_equal(sk2,appear(efficient_producers,sk1)),
prove_t3_60 ).
cnf(c_0_41,negated_conjecture,
( appear(efficient_producers,sk1) = critical_point(sk1)
| subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ greater_or_equal(critical_point(sk1),sk2) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_42,axiom,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
mp_greater_or_equal_51 ).
cnf(c_0_43,negated_conjecture,
greater(critical_point(sk1),sk2),
prove_t3_61 ).
cnf(c_0_44,hypothesis,
( decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2)))
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
a12_57 ).
cnf(c_0_45,negated_conjecture,
( appear(efficient_producers,sk1) = critical_point(sk1)
| subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_46,axiom,
( greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ greater_or_equal(X3,appear(efficient_producers,X1))
| ~ greater(X2,X3)
| ~ decreases(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))) ),
mp_decreasing_function_38 ).
cnf(c_0_47,axiom,
( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
mp_difference_between_founding_rates_37 ).
cnf(c_0_48,hypothesis,
( appear(efficient_producers,sk1) = critical_point(sk1)
| decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_28])]) ).
cnf(c_0_49,axiom,
( subpopulations(efficient_producers,first_movers,X1,X2)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
mp_symmetry_of_subpopulations_48 ).
cnf(c_0_50,negated_conjecture,
( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
| ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ in_environment(sk1,X1)
| ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
| ~ greater(X1,sk2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_40]),c_0_28])]) ).
cnf(c_0_51,axiom,
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
l3_34 ).
cnf(c_0_52,hypothesis,
( appear(efficient_producers,sk1) = critical_point(sk1)
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,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_54,negated_conjecture,
( appear(efficient_producers,sk1) = critical_point(sk1)
| subpopulations(efficient_producers,first_movers,sk1,sk2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_45]),c_0_28])]) ).
cnf(c_0_55,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,sk2),
prove_t3_62 ).
cnf(c_0_56,axiom,
( greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))
| ~ greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
mp_positive_growth_rate_difference_41 ).
cnf(c_0_57,negated_conjecture,
( greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_27]),c_0_43])]) ).
cnf(c_0_58,hypothesis,
( appear(efficient_producers,sk1) = critical_point(sk1)
| decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
| ~ subpopulations(first_movers,efficient_producers,X1,sk2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_59,negated_conjecture,
( appear(efficient_producers,sk1) = critical_point(sk1)
| ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_28])]),c_0_55]) ).
cnf(c_0_60,negated_conjecture,
( greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_61,negated_conjecture,
( appear(efficient_producers,sk1) = critical_point(sk1)
| decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_45]),c_0_28])]) ).
cnf(c_0_62,negated_conjecture,
( subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ greater_or_equal(critical_point(sk1),X1)
| ~ greater_or_equal(X1,critical_point(sk1)) ),
inference(spm,[status(thm)],[c_0_37,c_0_34]) ).
cnf(c_0_63,negated_conjecture,
( appear(efficient_producers,sk1) = critical_point(sk1)
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
cnf(c_0_64,negated_conjecture,
( subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ greater_or_equal(X1,critical_point(sk1))
| ~ greater(critical_point(sk1),X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_42]) ).
cnf(c_0_65,negated_conjecture,
( greater_or_equal(sk2,critical_point(sk1))
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
inference(spm,[status(thm)],[c_0_40,c_0_63]) ).
cnf(c_0_66,negated_conjecture,
( subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_43])]) ).
cnf(c_0_67,negated_conjecture,
( subpopulations(efficient_producers,first_movers,sk1,sk2)
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_66]),c_0_28])]) ).
cnf(c_0_68,negated_conjecture,
( ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_67]),c_0_28])]),c_0_55]) ).
cnf(c_0_69,hypothesis,
( decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2)))
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_66]),c_0_28])]) ).
cnf(c_0_70,negated_conjecture,
( ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) ),
inference(spm,[status(thm)],[c_0_68,c_0_60]) ).
cnf(c_0_71,hypothesis,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_69]),c_0_70]) ).
cnf(c_0_72,hypothesis,
( ~ environment(X1)
| X2 != critical_point(X1)
| ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
d1_54 ).
cnf(c_0_73,axiom,
( greater(zero,difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
| greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
mp_relationship_of_growth_rates_53 ).
cnf(c_0_74,hypothesis,
( ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| ~ subpopulations(first_movers,efficient_producers,X1,sk2)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_71]) ).
cnf(c_0_75,hypothesis,
( ~ greater(growth_rate(efficient_producers,critical_point(X1)),growth_rate(first_movers,critical_point(X1)))
| ~ environment(X1) ),
inference(er,[status(thm)],[c_0_72]) ).
cnf(c_0_76,axiom,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) ),
mp_negative_growth_rate_difference_39 ).
cnf(c_0_77,negated_conjecture,
( greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_34]),c_0_28])]) ).
cnf(c_0_78,negated_conjecture,
~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_66]),c_0_28])]) ).
cnf(c_0_79,hypothesis,
( ~ greater(zero,difference(growth_rate(first_movers,critical_point(X1)),growth_rate(efficient_producers,critical_point(X1))))
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_80,negated_conjecture,
greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))),
inference(sr,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_81,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT034-2 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 06:31:04 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.60 start to proof: theBenchmark
% 0.20/0.64 % Version : CSE_E---1.5
% 0.20/0.64 % Problem : theBenchmark.p
% 0.20/0.64 % Proof found
% 0.20/0.64 % SZS status Theorem for theBenchmark.p
% 0.20/0.64 % SZS output start Proof
% See solution above
% 0.20/0.65 % Total time : 0.036000 s
% 0.20/0.65 % SZS output end Proof
% 0.20/0.65 % Total time : 0.039000 s
%------------------------------------------------------------------------------